TSTP Solution File: NUM585+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM585+3 : 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_sat --cores 0 -t %d %s
% Computer : n014.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 18:05:57 EDT 2022
% Result : Theorem 59.58s 7.88s
% Output : Refutation 59.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 171
% Syntax : Number of formulae : 602 ( 68 unt; 0 def)
% Number of atoms : 2831 ( 358 equ)
% Maximal formula atoms : 59 ( 4 avg)
% Number of connectives : 3459 (1230 ~;1213 |; 741 &)
% ( 171 <=>; 104 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 143 ( 141 usr; 133 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 12 con; 0-2 aty)
% Number of variables : 657 ( 587 !; 70 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7631,plain,
$false,
inference(avatar_smt_refutation,[],[f6749,f6756,f6761,f6766,f6770,f6775,f6779,f6784,f6788,f6793,f6798,f6803,f6804,f6808,f6813,f6817,f6822,f6827,f6828,f6833,f6838,f6843,f6848,f6853,f6858,f6863,f6868,f6873,f6874,f6879,f6884,f6885,f6890,f6895,f6896,f6901,f6906,f6911,f6915,f6920,f6925,f6928,f6934,f6939,f6950,f6958,f6965,f6970,f6979,f6985,f6997,f7003,f7009,f7020,f7026,f7032,f7038,f7045,f7058,f7065,f7070,f7076,f7080,f7086,f7106,f7108,f7116,f7124,f7125,f7135,f7140,f7151,f7156,f7162,f7167,f7172,f7177,f7179,f7186,f7191,f7211,f7219,f7227,f7235,f7247,f7251,f7257,f7271,f7281,f7286,f7291,f7296,f7303,f7316,f7329,f7335,f7351,f7359,f7367,f7375,f7383,f7397,f7413,f7426,f7431,f7436,f7444,f7453,f7461,f7471,f7475,f7481,f7491,f7497,f7502,f7521,f7528,f7539,f7548,f7553,f7560,f7564,f7577,f7581,f7582,f7595,f7617,f7630]) ).
fof(f7630,plain,
( ~ spl37_47
| spl37_132
| ~ spl37_31
| ~ spl37_43
| ~ spl37_44 ),
inference(avatar_split_clause,[],[f7625,f6982,f6976,f6892,f7627,f7006]) ).
fof(f7006,plain,
( spl37_47
<=> aSet0(sK32(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_47])]) ).
fof(f7627,plain,
( spl37_132
<=> sK33 = sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_132])]) ).
fof(f6892,plain,
( spl37_31
<=> aElementOf0(sK31,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_31])]) ).
fof(f6976,plain,
( spl37_43
<=> aElementOf0(sK32(sK33),szDzozmdt0(sdtlpdtrp0(xC,sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_43])]) ).
fof(f6982,plain,
( spl37_44
<=> sK33 = sdtlpdtrp0(sdtlpdtrp0(xC,sK31),sK32(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_44])]) ).
fof(f7625,plain,
( ~ aElementOf0(sK31,szNzAzT0)
| sK33 = sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ aSet0(sK32(sK33))
| ~ spl37_43
| ~ spl37_44 ),
inference(forward_demodulation,[],[f7624,f6984]) ).
fof(f6984,plain,
( sK33 = sdtlpdtrp0(sdtlpdtrp0(xC,sK31),sK32(sK33))
| ~ spl37_44 ),
inference(avatar_component_clause,[],[f6982]) ).
fof(f7624,plain,
( ~ aElementOf0(sK31,szNzAzT0)
| sdtlpdtrp0(sdtlpdtrp0(xC,sK31),sK32(sK33)) = sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ aSet0(sK32(sK33))
| ~ spl37_43 ),
inference(resolution,[],[f6929,f6978]) ).
fof(f6978,plain,
( aElementOf0(sK32(sK33),szDzozmdt0(sdtlpdtrp0(xC,sK31)))
| ~ spl37_43 ),
inference(avatar_component_clause,[],[f6976]) ).
fof(f6929,plain,
! [X0,X6] :
( ~ aElementOf0(X6,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X6)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_demodulation,[],[f4709,f4745]) ).
fof(f4745,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) ),
inference(cnf_transformation,[],[f355]) ).
fof(f355,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aFunction0(sdtlpdtrp0(xC,X0))
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( ( ~ aSet0(X2)
| ( aElementOf0(sK35(X0,X2),X2)
& ~ aElementOf0(sK35(X0,X2),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| sbrdtbr0(X2) != xk )
& ( ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,X2) )
& sbrdtbr0(X2) = xk
& aSet0(X2) )
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( ( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0))
| ~ aElement0(X5) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X5
& aElementOf0(X5,sdtlpdtrp0(xN,X0))
& aElement0(X5) )
| ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ! [X6] :
( ( ( ( ~ aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK36(X0,X6),X6)
& ~ aElementOf0(sK36(X0,X6),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| xk != sbrdtbr0(X6) )
& ~ aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X8] :
( ( ( aElementOf0(X8,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElement0(X8) ) )
& ! [X9] :
( ~ aElementOf0(X9,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X10] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10)
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0)) )
& ! [X11] :
( ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X11
| aElementOf0(X11,X6) )
& aElement0(X11) )
| ~ aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X11
& ~ aElementOf0(X11,X6) )
| ~ aElement0(X11) ) ) )
| ~ aSet0(X6) ) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f352,f354,f353]) ).
fof(f353,plain,
! [X0,X2] :
( ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(sK35(X0,X2),X2)
& ~ aElementOf0(sK35(X0,X2),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ),
introduced(choice_axiom,[]) ).
fof(f354,plain,
! [X0,X6] :
( ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(sK36(X0,X6),X6)
& ~ aElementOf0(sK36(X0,X6),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ),
introduced(choice_axiom,[]) ).
fof(f352,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aFunction0(sdtlpdtrp0(xC,X0))
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| sbrdtbr0(X2) != xk )
& ( ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,X2) )
& sbrdtbr0(X2) = xk
& aSet0(X2) )
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( ( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0))
| ~ aElement0(X5) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X5
& aElementOf0(X5,sdtlpdtrp0(xN,X0))
& aElement0(X5) )
| ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ! [X6] :
( ( ( ( ~ aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| xk != sbrdtbr0(X6) )
& ~ aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X8] :
( ( ( aElementOf0(X8,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElement0(X8) ) )
& ! [X9] :
( ~ aElementOf0(X9,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X10] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10)
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0)) )
& ! [X11] :
( ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X11
| aElementOf0(X11,X6) )
& aElement0(X11) )
| ~ aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X11
& ~ aElementOf0(X11,X6) )
| ~ aElement0(X11) ) ) )
| ~ aSet0(X6) ) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(rectify,[],[f351]) ).
fof(f351,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aFunction0(sdtlpdtrp0(xC,X0))
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X10] :
( ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| sbrdtbr0(X1) != xk )
& ( ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,X1) )
& sbrdtbr0(X1) = xk
& aSet0(X1) )
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( ( aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X11
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0))
| ~ aElement0(X11) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X11
& aElementOf0(X11,sdtlpdtrp0(xN,X0))
& aElement0(X11) )
| ~ aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ! [X4] :
( ( ( ( ~ aSubsetOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X7] :
( aElementOf0(X7,X4)
& ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| xk != sbrdtbr0(X4) )
& ~ aElementOf0(X4,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X6] :
( ( ( aElementOf0(X6,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElement0(X6) )
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| ~ aElement0(X6) ) )
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ( sdtlpdtrp0(xc,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X4)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& ! [X8] :
( ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| aElementOf0(X8,X4) )
& aElement0(X8) )
| ~ aElementOf0(X8,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X8,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& ~ aElementOf0(X8,X4) )
| ~ aElement0(X8) ) ) )
| ~ aSet0(X4) ) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(flattening,[],[f350]) ).
fof(f350,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aFunction0(sdtlpdtrp0(xC,X0))
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X10] :
( ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| sbrdtbr0(X1) != xk )
& ( ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,X1) )
& sbrdtbr0(X1) = xk
& aSet0(X1) )
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( ( aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X11
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0))
| ~ aElement0(X11) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X11
& aElementOf0(X11,sdtlpdtrp0(xN,X0))
& aElement0(X11) )
| ~ aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ! [X4] :
( ( ( ( ~ aSubsetOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X7] :
( aElementOf0(X7,X4)
& ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| xk != sbrdtbr0(X4) )
& ~ aElementOf0(X4,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X6] :
( ( ( aElementOf0(X6,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElement0(X6) )
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| ~ aElement0(X6) ) )
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ( sdtlpdtrp0(xc,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X4)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& ! [X8] :
( ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| aElementOf0(X8,X4) )
& aElement0(X8) )
| ~ aElementOf0(X8,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X8,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& ~ aElementOf0(X8,X4) )
| ~ aElement0(X8) ) ) )
| ~ aSet0(X4) ) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(nnf_transformation,[],[f215]) ).
fof(f215,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aFunction0(sdtlpdtrp0(xC,X0))
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X10] :
( ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| sbrdtbr0(X1) != xk )
& ( ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,X1) )
& sbrdtbr0(X1) = xk
& aSet0(X1) )
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X11
& aElementOf0(X11,sdtlpdtrp0(xN,X0))
& aElement0(X11) ) )
& ! [X4] :
( ( ( ( ~ aSubsetOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X7] :
( aElementOf0(X7,X4)
& ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| xk != sbrdtbr0(X4) )
& ~ aElementOf0(X4,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X6] :
( ( aElementOf0(X6,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElement0(X6) )
<=> aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ( sdtlpdtrp0(xc,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X4)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& ! [X8] :
( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| aElementOf0(X8,X4) )
& aElement0(X8) )
<=> aElementOf0(X8,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ aSet0(X4) ) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
( ! [X0] :
( ( aFunction0(sdtlpdtrp0(xC,X0))
& ! [X4] :
( ( sdtlpdtrp0(xc,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X4)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& ! [X8] :
( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| aElementOf0(X8,X4) )
& aElement0(X8) )
<=> aElementOf0(X8,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ( ( ( ~ aSubsetOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X7] :
( aElementOf0(X7,X4)
& ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| xk != sbrdtbr0(X4) )
& ~ aElementOf0(X4,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X6] :
( ( aElementOf0(X6,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElement0(X6) )
<=> aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X4) )
& ! [X10] :
( ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ( ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,X1) )
& sbrdtbr0(X1) = xk
& aSet0(X1) )
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X11
& aElementOf0(X11,sdtlpdtrp0(xN,X0))
& aElement0(X11) ) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X0))
& ! [X4] :
( ( ( ( ! [X5] :
( aElementOf0(X5,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X6] :
( ( aElementOf0(X6,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& aElement0(X6) )
<=> aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
=> ( ( xk = sbrdtbr0(X4)
& ( ! [X7] :
( aElementOf0(X7,X4)
=> aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| aSubsetOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| aElementOf0(X4,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) ) )
& aSet0(X4) )
=> ( ! [X9] :
( aElementOf0(X9,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9) )
& ! [X8] :
( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| aElementOf0(X8,X4) )
& aElement0(X8) )
<=> aElementOf0(X8,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sdtlpdtrp0(xc,sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,X0)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X4) ) )
& ! [X10] :
( aElementOf0(X10,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& ! [X1] :
( ( ( sbrdtbr0(X1) = xk
& ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
=> aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sbrdtbr0(X1) = xk ) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X11
& aElementOf0(X11,sdtlpdtrp0(xN,X0))
& aElement0(X11) ) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( ( sbrdtbr0(X1) = xk
& ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
=> aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(X1)
& sbrdtbr0(X1) = xk ) ) )
& ! [X1] :
( ( aSet0(X1)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( ( aElement0(X2)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
<=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
=> ( ( ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) ) ) )
=> ( ! [X2] :
( ( aElement0(X2)
& ( aElementOf0(X2,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X2 ) )
<=> aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aFunction0(sdtlpdtrp0(xC,X0))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 ) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(f4709,plain,
! [X0,X6] :
( ~ aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X6) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7617,plain,
( spl37_131
| ~ spl37_22
| ~ spl37_126 ),
inference(avatar_split_clause,[],[f7605,f7562,f6845,f7615]) ).
fof(f7615,plain,
( spl37_131
<=> ! [X3] :
( ~ aSet0(X3)
| ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,sK31)))
| aSet0(sdtpldt0(X3,szmzizndt0(sdtlpdtrp0(xN,sK31)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_131])]) ).
fof(f6845,plain,
( spl37_22
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_22])]) ).
fof(f7562,plain,
( spl37_126
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sK31)))
| aSubsetOf0(sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK31))),xS)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_126])]) ).
fof(f7605,plain,
( ! [X3] :
( ~ aSet0(xS)
| ~ aSet0(X3)
| aSet0(sdtpldt0(X3,szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,sK31))) )
| ~ spl37_126 ),
inference(resolution,[],[f4626,f7563]) ).
fof(f7563,plain,
( ! [X0] :
( aSubsetOf0(sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK31))),xS)
| ~ aSet0(X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sK31))) )
| ~ spl37_126 ),
inference(avatar_component_clause,[],[f7562]) ).
fof(f4626,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f337,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( aElementOf0(sK30(X0,X1),X1)
& ~ aElementOf0(sK30(X0,X1),X0) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f335,f336]) ).
fof(f336,plain,
! [X0,X1] :
( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
=> ( aElementOf0(sK30(X0,X1),X1)
& ~ aElementOf0(sK30(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f334]) ).
fof(f334,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f333]) ).
fof(f333,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f7595,plain,
( ~ spl37_34
| spl37_130
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7591,f6746,f7593,f6908]) ).
fof(f6908,plain,
( spl37_34
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_34])]) ).
fof(f7593,plain,
( spl37_130
<=> ! [X0,X1] :
( sbrdtbr0(X1) != xk
| ~ aSet0(X1)
| aElementOf0(sK27(sz00,X1),X1)
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_130])]) ).
fof(f6746,plain,
( spl37_1
<=> xS = sdtlpdtrp0(xN,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_1])]) ).
fof(f7591,plain,
( ! [X0,X1] :
( sbrdtbr0(X1) != xk
| aElementOf0(X0,xS)
| aElementOf0(sK27(sz00,X1),X1)
| ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| ~ aSet0(X1)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl37_1 ),
inference(superposition,[],[f4582,f6748]) ).
fof(f6748,plain,
( xS = sdtlpdtrp0(xN,sz00)
| ~ spl37_1 ),
inference(avatar_component_clause,[],[f6746]) ).
fof(f4582,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X2,xS)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK27(X0,X1),X1) ),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
! [X0] :
( ! [X1] :
( ~ aSet0(X1)
| ( xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X3] :
( ( ( ( aElementOf0(X3,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3 )
& aElement0(X3) )
| ~ aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ~ aElementOf0(X3,X1)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
| ~ aElement0(X3) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& ! [X6] :
( ( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0))
| ~ aElement0(X6)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6 )
& ( ( aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X6 )
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ( sbrdtbr0(X1) != xk
| ( ~ aElementOf0(sK27(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK27(X0,X1),X1)
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f322,f323]) ).
fof(f323,plain,
! [X0,X1] :
( ? [X7] :
( ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X7,X1) )
=> ( ~ aElementOf0(sK27(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK27(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f322,plain,
! [X0] :
( ! [X1] :
( ~ aSet0(X1)
| ( xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X3] :
( ( ( ( aElementOf0(X3,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3 )
& aElement0(X3) )
| ~ aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ~ aElementOf0(X3,X1)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
| ~ aElement0(X3) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& ! [X6] :
( ( aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0))
| ~ aElement0(X6)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6 )
& ( ( aElementOf0(X6,sdtlpdtrp0(xN,X0))
& aElement0(X6)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X6 )
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ( sbrdtbr0(X1) != xk
| ( ? [X7] :
( ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X7,X1) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ! [X1] :
( ~ aSet0(X1)
| ( xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X6] :
( ( ( ( aElementOf0(X6,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6 )
& aElement0(X6) )
| ~ aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ~ aElementOf0(X6,X1)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X6 )
| ~ aElement0(X6) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3 )
& ( ( aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ( sbrdtbr0(X1) != xk
| ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f320]) ).
fof(f320,plain,
! [X0] :
( ! [X1] :
( ~ aSet0(X1)
| ( xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X6] :
( ( ( ( aElementOf0(X6,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6 )
& aElement0(X6) )
| ~ aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ~ aElementOf0(X6,X1)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X6 )
| ~ aElement0(X6) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3 )
& ( ( aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ( sbrdtbr0(X1) != xk
| ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ~ aSet0(X1)
| ( xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X6] :
( ( ( aElementOf0(X6,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6 )
& aElement0(X6) )
<=> aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& ( sbrdtbr0(X1) != xk
| ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ( xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X6] :
( ( ( aElementOf0(X6,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6 )
& aElement0(X6) )
<=> aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS) )
| ( ( sbrdtbr0(X1) != xk
| ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) ) )
=> ( ( ( ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) ) )
& aSet0(X1) )
=> ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X5,xS) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X6] :
( ( ( aElementOf0(X6,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6 )
& aElement0(X6) )
<=> aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ),
inference(rectify,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X2 ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
=> ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X2,xS) )
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( aElementOf0(X2,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X2 )
& aElement0(X2) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3965) ).
fof(f7582,plain,
( spl37_78
| spl37_98
| ~ spl37_31 ),
inference(avatar_split_clause,[],[f7267,f6892,f7349,f7208]) ).
fof(f7208,plain,
( spl37_78
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK31)),sdtlpdtrp0(xN,sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_78])]) ).
fof(f7349,plain,
( spl37_98
<=> ! [X6] :
( ~ aSet0(X6)
| aSubsetOf0(sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,sK31))),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_98])]) ).
fof(f7267,plain,
( ! [X6] :
( aSubsetOf0(sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,sK31))),xS)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK31)),sdtlpdtrp0(xN,sK31))
| ~ aSet0(X6) )
| ~ spl37_31 ),
inference(resolution,[],[f4501,f6894]) ).
fof(f6894,plain,
( aElementOf0(sK31,szNzAzT0)
| ~ spl37_31 ),
inference(avatar_component_clause,[],[f6892]) ).
fof(f4501,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7581,plain,
( spl37_129
| spl37_78
| ~ spl37_31 ),
inference(avatar_split_clause,[],[f7403,f6892,f7208,f7579]) ).
fof(f7579,plain,
( spl37_129
<=> ! [X6] :
( xK = sbrdtbr0(sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ aSet0(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_129])]) ).
fof(f7403,plain,
( ! [X6] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK31)),sdtlpdtrp0(xN,sK31))
| xK = sbrdtbr0(sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ aSet0(X6) )
| ~ spl37_31 ),
inference(resolution,[],[f4611,f6894]) ).
fof(f4611,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7577,plain,
( spl37_127
| spl37_128
| ~ spl37_31
| ~ spl37_78 ),
inference(avatar_split_clause,[],[f7567,f7208,f6892,f7575,f7571]) ).
fof(f7571,plain,
( spl37_127
<=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK31)),szmzizndt0(sdtlpdtrp0(xN,sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_127])]) ).
fof(f7575,plain,
( spl37_128
<=> ! [X2] :
( aElementOf0(sK27(sK31,X2),X2)
| sbrdtbr0(X2) != xk
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_128])]) ).
fof(f7567,plain,
( ! [X2] :
( ~ aElementOf0(sK31,szNzAzT0)
| aElementOf0(sK27(sK31,X2),X2)
| ~ aSet0(X2)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK31)),szmzizndt0(sdtlpdtrp0(xN,sK31)))
| sbrdtbr0(X2) != xk )
| ~ spl37_78 ),
inference(resolution,[],[f4505,f7210]) ).
fof(f7210,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK31)),sdtlpdtrp0(xN,sK31))
| ~ spl37_78 ),
inference(avatar_component_clause,[],[f7208]) ).
fof(f4505,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK27(X0,X1),X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7564,plain,
( ~ spl37_31
| spl37_126
| ~ spl37_72 ),
inference(avatar_split_clause,[],[f7555,f7164,f7562,f6892]) ).
fof(f7164,plain,
( spl37_72
<=> szDzozmdt0(sdtlpdtrp0(xC,sK31)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK31),szmzizndt0(sdtlpdtrp0(xN,sK31))),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_72])]) ).
fof(f7555,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sK31)))
| ~ aElementOf0(sK31,szNzAzT0)
| ~ aSet0(X0)
| aSubsetOf0(sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK31))),xS) )
| ~ spl37_72 ),
inference(superposition,[],[f4491,f7166]) ).
fof(f7166,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK31)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK31),szmzizndt0(sdtlpdtrp0(xN,sK31))),xk)
| ~ spl37_72 ),
inference(avatar_component_clause,[],[f7164]) ).
fof(f4491,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7560,plain,
( spl37_125
| ~ spl37_34
| ~ spl37_1
| ~ spl37_71 ),
inference(avatar_split_clause,[],[f7556,f7159,f6746,f6908,f7558]) ).
fof(f7558,plain,
( spl37_125
<=> ! [X0] :
( aSubsetOf0(sdtpldt0(X0,szmzizndt0(xS)),xS)
| ~ aSet0(X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_125])]) ).
fof(f7159,plain,
( spl37_71
<=> szDzozmdt0(sdtlpdtrp0(xC,sz00)) = slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_71])]) ).
fof(f7556,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| aSubsetOf0(sdtpldt0(X0,szmzizndt0(xS)),xS)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ aSet0(X0) )
| ~ spl37_1
| ~ spl37_71 ),
inference(forward_demodulation,[],[f7554,f7161]) ).
fof(f7161,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sz00)) = slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk)
| ~ spl37_71 ),
inference(avatar_component_clause,[],[f7159]) ).
fof(f7554,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| aSubsetOf0(sdtpldt0(X0,szmzizndt0(xS)),xS)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk))
| ~ aSet0(X0) )
| ~ spl37_1 ),
inference(superposition,[],[f4491,f6748]) ).
fof(f7553,plain,
( ~ spl37_38
| ~ spl37_34
| spl37_124
| ~ spl37_36
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7542,f6746,f6917,f7550,f6908,f6931]) ).
fof(f6931,plain,
( spl37_38
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_38])]) ).
fof(f7550,plain,
( spl37_124
<=> aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_124])]) ).
fof(f6917,plain,
( spl37_36
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_36])]) ).
fof(f7542,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)),sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ isCountable0(xS)
| ~ spl37_1 ),
inference(superposition,[],[f4457,f6748]) ).
fof(f4457,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
( aFunction0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& ! [X0] :
( ( ! [X1] :
( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) ) )
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ( aElementOf0(sK24(X0),sdtlpdtrp0(xN,X0))
& ~ aElementOf0(sK24(X0),szNzAzT0) ) ) )
| ~ isCountable0(sdtlpdtrp0(xN,X0)) )
& szNzAzT0 = szDzozmdt0(xN) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f306,f307]) ).
fof(f307,plain,
! [X0] :
( ? [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
& ~ aElementOf0(X4,szNzAzT0) )
=> ( aElementOf0(sK24(X0),sdtlpdtrp0(xN,X0))
& ~ aElementOf0(sK24(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
( aFunction0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& ! [X0] :
( ( ! [X1] :
( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) ) )
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
& ~ aElementOf0(X4,szNzAzT0) ) ) )
| ~ isCountable0(sdtlpdtrp0(xN,X0)) )
& szNzAzT0 = szDzozmdt0(xN) ),
inference(rectify,[],[f305]) ).
fof(f305,plain,
( aFunction0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& ! [X0] :
( ( ! [X2] :
( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) )
| ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aElement0(X2) ) )
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
& ~ aElementOf0(X1,szNzAzT0) ) ) )
| ~ isCountable0(sdtlpdtrp0(xN,X0)) )
& szNzAzT0 = szDzozmdt0(xN) ),
inference(flattening,[],[f304]) ).
fof(f304,plain,
( aFunction0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& ! [X0] :
( ( ! [X2] :
( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) )
| ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aElement0(X2) ) )
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
& ~ aElementOf0(X1,szNzAzT0) ) ) )
| ~ isCountable0(sdtlpdtrp0(xN,X0)) )
& szNzAzT0 = szDzozmdt0(xN) ),
inference(nnf_transformation,[],[f182]) ).
fof(f182,plain,
( aFunction0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& ! [X0] :
( ( ! [X2] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) )
<=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
& ~ aElementOf0(X1,szNzAzT0) ) ) )
| ~ isCountable0(sdtlpdtrp0(xN,X0)) )
& szNzAzT0 = szDzozmdt0(xN) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
( aFunction0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& ! [X0] :
( ( ! [X2] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) )
<=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
& ~ aElementOf0(X1,szNzAzT0) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
( aFunction0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X2] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) )
<=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) )
=> ( ! [X1] :
( ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElement0(X1) )
<=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) ) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f7548,plain,
( ~ spl37_13
| spl37_123
| ~ spl37_63
| ~ spl37_61
| ~ spl37_28 ),
inference(avatar_split_clause,[],[f7541,f6876,f7095,f7103,f7545,f6800]) ).
fof(f6800,plain,
( spl37_13
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_13])]) ).
fof(f7545,plain,
( spl37_123
<=> aSubsetOf0(sdtlpdtrp0(xN,xK),sdtmndt0(sdtlpdtrp0(xN,xk),szmzizndt0(sdtlpdtrp0(xN,xk)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_123])]) ).
fof(f7103,plain,
( spl37_63
<=> aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_63])]) ).
fof(f7095,plain,
( spl37_61
<=> isCountable0(sdtlpdtrp0(xN,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_61])]) ).
fof(f6876,plain,
( spl37_28
<=> xK = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_28])]) ).
fof(f7541,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xk))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xK),sdtmndt0(sdtlpdtrp0(xN,xk),szmzizndt0(sdtlpdtrp0(xN,xk))))
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl37_28 ),
inference(superposition,[],[f4457,f6878]) ).
fof(f6878,plain,
( xK = szszuzczcdt0(xk)
| ~ spl37_28 ),
inference(avatar_component_clause,[],[f6876]) ).
fof(f7539,plain,
( spl37_122
| ~ spl37_13
| ~ spl37_28 ),
inference(avatar_split_clause,[],[f7534,f6876,f6800,f7536]) ).
fof(f7536,plain,
( spl37_122
<=> sdtlseqdt0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_122])]) ).
fof(f7534,plain,
( ~ aElementOf0(xk,szNzAzT0)
| sdtlseqdt0(xk,xK)
| ~ spl37_28 ),
inference(superposition,[],[f4625,f6878]) ).
fof(f4625,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(f7528,plain,
( ~ spl37_34
| spl37_121
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7523,f6746,f7526,f6908]) ).
fof(f7526,plain,
( spl37_121
<=> ! [X0] :
( ~ sdtlseqdt0(szmzizndt0(xS),sK0(X0,sz00))
| sz00 = X0
| ~ aElementOf0(szmzizndt0(xS),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_121])]) ).
fof(f7523,plain,
( ! [X0] :
( ~ sdtlseqdt0(szmzizndt0(xS),sK0(X0,sz00))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(sz00,szNzAzT0)
| sz00 = X0 )
| ~ spl37_1 ),
inference(superposition,[],[f357,f6748]) ).
fof(f357,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),sK0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X0))
| X0 = X1 ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ( aElementOf0(sK0(X0,X1),sdtlpdtrp0(xN,X0))
& ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),sK0(X0,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X1,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f207,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ? [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
& ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
=> ( aElementOf0(sK0(X0,X1),sdtlpdtrp0(xN,X0))
& ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ? [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
& ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
! [X1,X0] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ? [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
& ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X0)) )
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
| ~ aElementOf0(X0,szNzAzT0)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X1,X0] :
( ( aElementOf0(X0,szNzAzT0)
& X0 != X1
& aElementOf0(X1,szNzAzT0) )
=> ~ ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X0))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) ) ) ) ),
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X1,X0] :
( ( aElementOf0(X1,szNzAzT0)
& X0 != X1
& aElementOf0(X0,szNzAzT0) )
=> ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) ) )
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3821) ).
fof(f7521,plain,
( ~ spl37_34
| spl37_120
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7517,f6746,f7519,f6908]) ).
fof(f7519,plain,
( spl37_120
<=> ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| sbrdtbr0(X1) != xk
| aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(sK36(sz00,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_120])]) ).
fof(f7517,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElementOf0(sK36(sz00,X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(sz00,szNzAzT0)
| aElement0(X0)
| sbrdtbr0(X1) != xk )
| ~ spl37_1 ),
inference(superposition,[],[f4719,f6748]) ).
fof(f4719,plain,
! [X0,X11,X6] :
( ~ aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(sK36(X0,X6),X6)
| xk != sbrdtbr0(X6)
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(X11)
| ~ aSet0(X6) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7502,plain,
( spl37_119
| ~ spl37_110 ),
inference(avatar_split_clause,[],[f7486,f7433,f7499]) ).
fof(f7499,plain,
( spl37_119
<=> aSet0(sK21(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_119])]) ).
fof(f7433,plain,
( spl37_110
<=> aElementOf0(sK21(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_110])]) ).
fof(f7486,plain,
( aSet0(sK21(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))))
| ~ spl37_110 ),
inference(resolution,[],[f7435,f4432]) ).
fof(f4432,plain,
! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| aSet0(X4) ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
( ! [X0] :
( ( ( aElementOf0(sK21(X0),szDzozmdt0(xc))
& sdtlpdtrp0(xc,sK21(X0)) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X2) != X0 ) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& aFunction0(xc)
& ! [X3] :
( ~ aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X3,xT) )
& ! [X4] :
( ( ( xK = sbrdtbr0(X4)
& aSet0(X4)
& aSubsetOf0(X4,xS)
& ! [X5] :
( ~ aElementOf0(X5,X4)
| aElementOf0(X5,xS) ) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) )
& ( xK != sbrdtbr0(X4)
| ( ( ~ aSet0(X4)
| ( aElementOf0(sK22(X4),X4)
& ~ aElementOf0(sK22(X4),xS) ) )
& ~ aSubsetOf0(X4,xS) )
| aElementOf0(X4,szDzozmdt0(xc)) ) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f298,f300,f299]) ).
fof(f299,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X1) = X0 )
=> ( aElementOf0(sK21(X0),szDzozmdt0(xc))
& sdtlpdtrp0(xc,sK21(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X4] :
( ? [X6] :
( aElementOf0(X6,X4)
& ~ aElementOf0(X6,xS) )
=> ( aElementOf0(sK22(X4),X4)
& ~ aElementOf0(sK22(X4),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
( ! [X0] :
( ( ? [X1] :
( aElementOf0(X1,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X1) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X2) != X0 ) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& aFunction0(xc)
& ! [X3] :
( ~ aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X3,xT) )
& ! [X4] :
( ( ( xK = sbrdtbr0(X4)
& aSet0(X4)
& aSubsetOf0(X4,xS)
& ! [X5] :
( ~ aElementOf0(X5,X4)
| aElementOf0(X5,xS) ) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) )
& ( xK != sbrdtbr0(X4)
| ( ( ~ aSet0(X4)
| ? [X6] :
( aElementOf0(X6,X4)
& ~ aElementOf0(X6,xS) ) )
& ~ aSubsetOf0(X4,xS) )
| aElementOf0(X4,szDzozmdt0(xc)) ) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
inference(rectify,[],[f297]) ).
fof(f297,plain,
( ! [X4] :
( ( ? [X5] :
( aElementOf0(X5,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X5) = X4 )
| ~ aElementOf0(X4,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( aElementOf0(X4,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X5] :
( ~ aElementOf0(X5,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X5) != X4 ) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& aFunction0(xc)
& ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) )
& ! [X1] :
( ( ( sbrdtbr0(X1) = xK
& aSet0(X1)
& aSubsetOf0(X1,xS)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,xS) ) )
| ~ aElementOf0(X1,szDzozmdt0(xc)) )
& ( sbrdtbr0(X1) != xK
| ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
inference(nnf_transformation,[],[f194]) ).
fof(f194,plain,
( ! [X4] :
( ? [X5] :
( aElementOf0(X5,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X5) = X4 )
<=> aElementOf0(X4,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& aFunction0(xc)
& ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) )
& ! [X1] :
( ( ( sbrdtbr0(X1) = xK
& aSet0(X1)
& aSubsetOf0(X1,xS)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,xS) ) )
| ~ aElementOf0(X1,szDzozmdt0(xc)) )
& ( sbrdtbr0(X1) != xK
| ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(xc))
| sbrdtbr0(X1) != xK
| ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) ) )
& ( ( sbrdtbr0(X1) = xK
& aSet0(X1)
& aSubsetOf0(X1,xS)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,xS) ) )
| ~ aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X4] :
( ? [X5] :
( aElementOf0(X5,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X5) = X4 )
<=> aElementOf0(X4,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& aFunction0(xc)
& ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) ) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X1] :
( ( ( sbrdtbr0(X1) = xK
& ( aSubsetOf0(X1,xS)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) ) ) )
=> aElementOf0(X1,szDzozmdt0(xc)) )
& ( aElementOf0(X1,szDzozmdt0(xc))
=> ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(X3,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = xK ) ) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X4] :
( ? [X5] :
( aElementOf0(X5,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X5) = X4 )
<=> aElementOf0(X4,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& aFunction0(xc)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) ) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X0] :
( ( ( ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) )
& sbrdtbr0(X0) = xK )
=> aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
=> ( sbrdtbr0(X0) = xK
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& aSet0(X0) ) ) )
& ! [X0] :
( ? [X1] :
( sdtlpdtrp0(xc,X1) = X0
& aElementOf0(X1,szDzozmdt0(xc)) )
<=> aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& aFunction0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f7435,plain,
( aElementOf0(sK21(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))),szDzozmdt0(xc))
| ~ spl37_110 ),
inference(avatar_component_clause,[],[f7433]) ).
fof(f7497,plain,
( spl37_118
| ~ spl37_110 ),
inference(avatar_split_clause,[],[f7484,f7433,f7494]) ).
fof(f7494,plain,
( spl37_118
<=> xK = sbrdtbr0(sK21(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_118])]) ).
fof(f7484,plain,
( xK = sbrdtbr0(sK21(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))))
| ~ spl37_110 ),
inference(resolution,[],[f7435,f4433]) ).
fof(f4433,plain,
! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| xK = sbrdtbr0(X4) ),
inference(cnf_transformation,[],[f301]) ).
fof(f7491,plain,
( spl37_117
| ~ spl37_110 ),
inference(avatar_split_clause,[],[f7485,f7433,f7488]) ).
fof(f7488,plain,
( spl37_117
<=> aSubsetOf0(sK21(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_117])]) ).
fof(f7485,plain,
( aSubsetOf0(sK21(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))),xS)
| ~ spl37_110 ),
inference(resolution,[],[f7435,f4431]) ).
fof(f4431,plain,
! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| aSubsetOf0(X4,xS) ),
inference(cnf_transformation,[],[f301]) ).
fof(f7481,plain,
( ~ spl37_34
| spl37_116
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7477,f6746,f7479,f6908]) ).
fof(f7479,plain,
( spl37_116
<=> ! [X0,X1] :
( aElement0(X0)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| aElementOf0(sK27(sz00,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_116])]) ).
fof(f7477,plain,
( ! [X0,X1] :
( aElement0(X0)
| aElementOf0(sK27(sz00,X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(xS)))
| sbrdtbr0(X1) != xk )
| ~ spl37_1 ),
inference(superposition,[],[f4560,f6748]) ).
fof(f4560,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(sK27(X0,X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(X1) != xk
| aElement0(X3) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7475,plain,
( ~ spl37_34
| spl37_115
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7464,f6746,f7473,f6908]) ).
fof(f7473,plain,
( spl37_115
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| ~ aElementOf0(szmzizndt0(xS),sdtlpdtrp0(xN,X0))
| aElementOf0(sK0(X0,sz00),sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_115])]) ).
fof(f7464,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK0(X0,sz00),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(szmzizndt0(xS),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(sz00,szNzAzT0)
| sz00 = X0 )
| ~ spl37_1 ),
inference(superposition,[],[f358,f6748]) ).
fof(f358,plain,
! [X0,X1] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1
| aElementOf0(sK0(X0,X1),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f7471,plain,
( ~ spl37_34
| spl37_114
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7465,f6746,f7469,f6908]) ).
fof(f7469,plain,
( spl37_114
<=> ! [X0] :
( aElementOf0(sK0(sz00,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_114])]) ).
fof(f7465,plain,
( ! [X0] :
( aElementOf0(sK0(sz00,X0),xS)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),xS)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl37_1 ),
inference(superposition,[],[f358,f6748]) ).
fof(f7461,plain,
( ~ spl37_47
| spl37_113
| ~ spl37_25
| ~ spl37_51 ),
inference(avatar_split_clause,[],[f7457,f7035,f6860,f7459,f7006]) ).
fof(f7459,plain,
( spl37_113
<=> ! [X1] :
( aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1))),szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_113])]) ).
fof(f6860,plain,
( spl37_25
<=> szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_25])]) ).
fof(f7035,plain,
( spl37_51
<=> xk = sbrdtbr0(sK32(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_51])]) ).
fof(f7457,plain,
( ! [X1] :
( aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33))
| ~ aSet0(sK32(sK33))
| aElementOf0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1))),szDzozmdt0(xc))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl37_25
| ~ spl37_51 ),
inference(trivial_inequality_removal,[],[f7455]) ).
fof(f7455,plain,
( ! [X1] :
( aElementOf0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1))),szDzozmdt0(xc))
| aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(sK32(sK33))
| xk != xk )
| ~ spl37_25
| ~ spl37_51 ),
inference(superposition,[],[f6943,f7037]) ).
fof(f7037,plain,
( xk = sbrdtbr0(sK32(sK33))
| ~ spl37_51 ),
inference(avatar_component_clause,[],[f7035]) ).
fof(f6943,plain,
( ! [X0,X1] :
( sbrdtbr0(X1) != xk
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK27(X0,X1),X1)
| ~ aSet0(X1) )
| ~ spl37_25 ),
inference(backward_demodulation,[],[f4516,f6862]) ).
fof(f6862,plain,
( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
| ~ spl37_25 ),
inference(avatar_component_clause,[],[f6860]) ).
fof(f4516,plain,
! [X0,X1] :
( aElementOf0(sK27(X0,X1),X1)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK)) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7453,plain,
( ~ spl37_34
| spl37_112
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7448,f6746,f7451,f6908]) ).
fof(f7451,plain,
( spl37_112
<=> ! [X0] :
( aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_112])]) ).
fof(f7448,plain,
( ! [X0] :
( aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| sbrdtbr0(X0) != xk
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl37_1 ),
inference(superposition,[],[f4740,f6748]) ).
fof(f4740,plain,
! [X2,X0] :
( ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X2) != xk ),
inference(cnf_transformation,[],[f355]) ).
fof(f7444,plain,
( ~ spl37_47
| spl37_111
| ~ spl37_51 ),
inference(avatar_split_clause,[],[f7440,f7035,f7442,f7006]) ).
fof(f7442,plain,
( spl37_111
<=> ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33))
| xK = sbrdtbr0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_111])]) ).
fof(f7440,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| xK = sbrdtbr0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1))))
| aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33))
| ~ aSet0(sK32(sK33)) )
| ~ spl37_51 ),
inference(trivial_inequality_removal,[],[f7438]) ).
fof(f7438,plain,
( ! [X1] :
( ~ aSet0(sK32(sK33))
| xK = sbrdtbr0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| xk != xk
| aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33)) )
| ~ spl37_51 ),
inference(superposition,[],[f4604,f7037]) ).
fof(f4604,plain,
! [X0,X1] :
( sbrdtbr0(X1) != xk
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(sK27(X0,X1),X1) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7436,plain,
( spl37_110
| ~ spl37_91 ),
inference(avatar_split_clause,[],[f7420,f7288,f7433]) ).
fof(f7288,plain,
( spl37_91
<=> aElementOf0(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_91])]) ).
fof(f7420,plain,
( aElementOf0(sK21(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))),szDzozmdt0(xc))
| ~ spl37_91 ),
inference(resolution,[],[f7290,f4439]) ).
fof(f4439,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK21(X0),szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f301]) ).
fof(f7290,plain,
( aElementOf0(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl37_91 ),
inference(avatar_component_clause,[],[f7288]) ).
fof(f7431,plain,
( spl37_109
| ~ spl37_91 ),
inference(avatar_split_clause,[],[f7419,f7288,f7428]) ).
fof(f7428,plain,
( spl37_109
<=> sdtlpdtrp0(xc,sK21(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))))) = sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_109])]) ).
fof(f7419,plain,
( sdtlpdtrp0(xc,sK21(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))))) = sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ spl37_91 ),
inference(resolution,[],[f7290,f4438]) ).
fof(f4438,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,sK21(X0)) = X0 ),
inference(cnf_transformation,[],[f301]) ).
fof(f7426,plain,
( spl37_108
| ~ spl37_91 ),
inference(avatar_split_clause,[],[f7421,f7288,f7423]) ).
fof(f7423,plain,
( spl37_108
<=> aElementOf0(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_108])]) ).
fof(f7421,plain,
( aElementOf0(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))),xT)
| ~ spl37_91 ),
inference(resolution,[],[f7290,f4434]) ).
fof(f4434,plain,
! [X3] :
( ~ aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X3,xT) ),
inference(cnf_transformation,[],[f301]) ).
fof(f7413,plain,
( ~ spl37_31
| spl37_107
| ~ spl37_43 ),
inference(avatar_split_clause,[],[f7409,f6976,f7411,f6892]) ).
fof(f7411,plain,
( spl37_107
<=> ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK31),szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ aElementOf0(X0,sK32(sK33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_107])]) ).
fof(f7409,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK31),szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ aElementOf0(sK31,szNzAzT0)
| ~ aElementOf0(X0,sK32(sK33)) )
| ~ spl37_43 ),
inference(resolution,[],[f4738,f6978]) ).
fof(f4738,plain,
! [X2,X0,X4] :
( ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7397,plain,
( ~ spl37_95
| ~ spl37_106
| ~ spl37_64 ),
inference(avatar_split_clause,[],[f7392,f7113,f7394,f7313]) ).
fof(f7313,plain,
( spl37_95
<=> aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_95])]) ).
fof(f7394,plain,
( spl37_106
<=> isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_106])]) ).
fof(f7113,plain,
( spl37_64
<=> isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_64])]) ).
fof(f7392,plain,
( ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ spl37_64 ),
inference(resolution,[],[f7115,f371]) ).
fof(f371,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( ~ aSet0(X0)
| ~ isCountable0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(f7115,plain,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ spl37_64 ),
inference(avatar_component_clause,[],[f7113]) ).
fof(f7383,plain,
( ~ spl37_47
| spl37_105
| ~ spl37_51 ),
inference(avatar_split_clause,[],[f7379,f7035,f7381,f7006]) ).
fof(f7381,plain,
( spl37_105
<=> ! [X1] :
( aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33))
| aSubsetOf0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_105])]) ).
fof(f7379,plain,
( ! [X1] :
( aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33))
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
| ~ aSet0(sK32(sK33)) )
| ~ spl37_51 ),
inference(trivial_inequality_removal,[],[f7377]) ).
fof(f7377,plain,
( ! [X1] :
( ~ aSet0(sK32(sK33))
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
| xk != xk
| aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33)) )
| ~ spl37_51 ),
inference(superposition,[],[f4494,f7037]) ).
fof(f4494,plain,
! [X0,X1] :
( sbrdtbr0(X1) != xk
| aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
| aElementOf0(sK27(X0,X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7375,plain,
( spl37_103
| spl37_104
| ~ spl37_13 ),
inference(avatar_split_clause,[],[f7340,f6800,f7373,f7369]) ).
fof(f7369,plain,
( spl37_103
<=> aSet0(sdtmndt0(sdtlpdtrp0(xN,xk),szmzizndt0(sdtlpdtrp0(xN,xk)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_103])]) ).
fof(f7373,plain,
( spl37_104
<=> ! [X5] :
( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,xk))),xS)
| ~ aSet0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_104])]) ).
fof(f7340,plain,
( ! [X5] :
( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,xk))),xS)
| ~ aSet0(X5)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xk),szmzizndt0(sdtlpdtrp0(xN,xk)))) )
| ~ spl37_13 ),
inference(resolution,[],[f4492,f6802]) ).
fof(f6802,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl37_13 ),
inference(avatar_component_clause,[],[f6800]) ).
fof(f4492,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7367,plain,
( spl37_101
| spl37_102
| ~ spl37_50 ),
inference(avatar_split_clause,[],[f7338,f7029,f7364,f7361]) ).
fof(f7361,plain,
( spl37_101
<=> ! [X3] :
( ~ aSet0(X3)
| aSubsetOf0(sdtpldt0(X3,szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(xS)))),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_101])]) ).
fof(f7364,plain,
( spl37_102
<=> aSet0(sdtmndt0(sdtlpdtrp0(xN,szmzizndt0(xS)),szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(xS))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_102])]) ).
fof(f7029,plain,
( spl37_50
<=> aElementOf0(szmzizndt0(xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_50])]) ).
fof(f7338,plain,
( ! [X3] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,szmzizndt0(xS)),szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(xS)))))
| ~ aSet0(X3)
| aSubsetOf0(sdtpldt0(X3,szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(xS)))),xS) )
| ~ spl37_50 ),
inference(resolution,[],[f4492,f7031]) ).
fof(f7031,plain,
( aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ spl37_50 ),
inference(avatar_component_clause,[],[f7029]) ).
fof(f7359,plain,
( spl37_99
| spl37_100
| ~ spl37_5 ),
inference(avatar_split_clause,[],[f7339,f6763,f7356,f7353]) ).
fof(f7353,plain,
( spl37_99
<=> ! [X4] :
( aSubsetOf0(sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,xK))),xS)
| ~ aSet0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_99])]) ).
fof(f7356,plain,
( spl37_100
<=> aSet0(sdtmndt0(sdtlpdtrp0(xN,xK),szmzizndt0(sdtlpdtrp0(xN,xK)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_100])]) ).
fof(f6763,plain,
( spl37_5
<=> aElementOf0(xK,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_5])]) ).
fof(f7339,plain,
( ! [X4] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,xK),szmzizndt0(sdtlpdtrp0(xN,xK))))
| aSubsetOf0(sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,xK))),xS)
| ~ aSet0(X4) )
| ~ spl37_5 ),
inference(resolution,[],[f4492,f6765]) ).
fof(f6765,plain,
( aElementOf0(xK,szNzAzT0)
| ~ spl37_5 ),
inference(avatar_component_clause,[],[f6763]) ).
fof(f7351,plain,
( spl37_97
| spl37_98
| ~ spl37_31 ),
inference(avatar_split_clause,[],[f7341,f6892,f7349,f7345]) ).
fof(f7345,plain,
( spl37_97
<=> aSet0(sdtmndt0(sdtlpdtrp0(xN,sK31),szmzizndt0(sdtlpdtrp0(xN,sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_97])]) ).
fof(f7341,plain,
( ! [X6] :
( ~ aSet0(X6)
| aSubsetOf0(sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,sK31))),xS)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,sK31),szmzizndt0(sdtlpdtrp0(xN,sK31)))) )
| ~ spl37_31 ),
inference(resolution,[],[f4492,f6894]) ).
fof(f7335,plain,
( ~ spl37_13
| spl37_63 ),
inference(avatar_split_clause,[],[f7334,f7103,f6800]) ).
fof(f7334,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl37_63 ),
inference(resolution,[],[f7105,f4752]) ).
fof(f4752,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aSet0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSet0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f7105,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0)
| spl37_63 ),
inference(avatar_component_clause,[],[f7103]) ).
fof(f7329,plain,
( ~ spl37_89
| spl37_96
| ~ spl37_90 ),
inference(avatar_split_clause,[],[f7322,f7283,f7326,f7278]) ).
fof(f7278,plain,
( spl37_89
<=> aSet0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_89])]) ).
fof(f7326,plain,
( spl37_96
<=> aElement0(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_96])]) ).
fof(f7283,plain,
( spl37_90
<=> xK = sbrdtbr0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_90])]) ).
fof(f7322,plain,
( aElement0(xK)
| ~ aSet0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ spl37_90 ),
inference(superposition,[],[f4650,f7285]) ).
fof(f7285,plain,
( xK = sbrdtbr0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ spl37_90 ),
inference(avatar_component_clause,[],[f7283]) ).
fof(f4650,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ~ aSet0(X0)
| aElement0(sbrdtbr0(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(f7316,plain,
( ~ spl37_22
| ~ spl37_34
| ~ spl37_38
| spl37_94
| spl37_95
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7306,f6746,f7313,f7309,f6931,f6908,f6845]) ).
fof(f7309,plain,
( spl37_94
<=> aElementOf0(sK24(sz00),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_94])]) ).
fof(f7306,plain,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| aElementOf0(sK24(sz00),xS)
| ~ isCountable0(xS)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS)
| ~ spl37_1 ),
inference(superposition,[],[f4447,f6748]) ).
fof(f4447,plain,
! [X0] :
( ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(sK24(X0),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f308]) ).
fof(f7303,plain,
( spl37_93
| ~ spl37_47
| ~ spl37_51 ),
inference(avatar_split_clause,[],[f7299,f7035,f7006,f7301]) ).
fof(f7301,plain,
( spl37_93
<=> ! [X1] :
( aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33))
| aSet0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_93])]) ).
fof(f7299,plain,
( ! [X1] :
( ~ aSet0(sK32(sK33))
| aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33))
| ~ aElementOf0(X1,szNzAzT0)
| aSet0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| ~ spl37_51 ),
inference(trivial_inequality_removal,[],[f7298]) ).
fof(f7298,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,X1))))
| aElementOf0(sK27(X1,sK32(sK33)),sK32(sK33))
| xk != xk
| ~ aSet0(sK32(sK33)) )
| ~ spl37_51 ),
inference(superposition,[],[f4593,f7037]) ).
fof(f4593,plain,
! [X0,X1] :
( sbrdtbr0(X1) != xk
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aElementOf0(sK27(X0,X1),X1)
| aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7296,plain,
( spl37_92
| ~ spl37_88 ),
inference(avatar_split_clause,[],[f7275,f7254,f7293]) ).
fof(f7293,plain,
( spl37_92
<=> aSubsetOf0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_92])]) ).
fof(f7254,plain,
( spl37_88
<=> aElementOf0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_88])]) ).
fof(f7275,plain,
( aSubsetOf0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))),xS)
| ~ spl37_88 ),
inference(resolution,[],[f7256,f4431]) ).
fof(f7256,plain,
( aElementOf0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))),szDzozmdt0(xc))
| ~ spl37_88 ),
inference(avatar_component_clause,[],[f7254]) ).
fof(f7291,plain,
( spl37_91
| ~ spl37_88 ),
inference(avatar_split_clause,[],[f7272,f7254,f7288]) ).
fof(f7272,plain,
( aElementOf0(sdtlpdtrp0(xc,sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31)))),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl37_88 ),
inference(resolution,[],[f7256,f6680]) ).
fof(f6680,plain,
! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(equality_resolution,[],[f4437]) ).
fof(f4437,plain,
! [X2,X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X2) != X0 ),
inference(cnf_transformation,[],[f301]) ).
fof(f7286,plain,
( spl37_90
| ~ spl37_88 ),
inference(avatar_split_clause,[],[f7274,f7254,f7283]) ).
fof(f7274,plain,
( xK = sbrdtbr0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ spl37_88 ),
inference(resolution,[],[f7256,f4433]) ).
fof(f7281,plain,
( spl37_89
| ~ spl37_88 ),
inference(avatar_split_clause,[],[f7276,f7254,f7278]) ).
fof(f7276,plain,
( aSet0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))))
| ~ spl37_88 ),
inference(resolution,[],[f7256,f4432]) ).
fof(f7271,plain,
( ~ spl37_13
| spl37_67 ),
inference(avatar_split_clause,[],[f7270,f7132,f6800]) ).
fof(f7132,plain,
( spl37_67
<=> aSet0(sdtlpdtrp0(xN,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_67])]) ).
fof(f7270,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl37_67 ),
inference(resolution,[],[f7134,f4753]) ).
fof(f4753,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f7134,plain,
( ~ aSet0(sdtlpdtrp0(xN,xk))
| spl37_67 ),
inference(avatar_component_clause,[],[f7132]) ).
fof(f7257,plain,
( ~ spl37_47
| spl37_88
| ~ spl37_31
| ~ spl37_25
| ~ spl37_43 ),
inference(avatar_split_clause,[],[f7252,f6976,f6860,f6892,f7254,f7006]) ).
fof(f7252,plain,
( ~ aElementOf0(sK31,szNzAzT0)
| aElementOf0(sdtpldt0(sK32(sK33),szmzizndt0(sdtlpdtrp0(xN,sK31))),szDzozmdt0(xc))
| ~ aSet0(sK32(sK33))
| ~ spl37_25
| ~ spl37_43 ),
inference(resolution,[],[f6948,f6978]) ).
fof(f6948,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aSet0(X1)
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl37_25 ),
inference(forward_subsumption_demodulation,[],[f6940,f4745]) ).
fof(f6940,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),szDzozmdt0(xc))
| ~ aSet0(X1) )
| ~ spl37_25 ),
inference(backward_demodulation,[],[f4513,f6862]) ).
fof(f4513,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7251,plain,
( ~ spl37_47
| spl37_87
| ~ spl37_51 ),
inference(avatar_split_clause,[],[f7239,f7035,f7249,f7006]) ).
fof(f7249,plain,
( spl37_87
<=> ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sK32(sK33),szDzozmdt0(sdtlpdtrp0(xC,X1)))
| aElementOf0(sK35(X1,sK32(sK33)),sK32(sK33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_87])]) ).
fof(f7239,plain,
( ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sK35(X1,sK32(sK33)),sK32(sK33))
| aElementOf0(sK32(sK33),szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ aSet0(sK32(sK33)) )
| ~ spl37_51 ),
inference(trivial_inequality_removal,[],[f7238]) ).
fof(f7238,plain,
( ! [X1] :
( aElementOf0(sK32(sK33),szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(sK32(sK33))
| aElementOf0(sK35(X1,sK32(sK33)),sK32(sK33))
| xk != xk )
| ~ spl37_51 ),
inference(superposition,[],[f4742,f7037]) ).
fof(f4742,plain,
! [X2,X0] :
( sbrdtbr0(X2) != xk
| ~ aSet0(X2)
| aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| aElementOf0(sK35(X0,X2),X2)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7247,plain,
( ~ spl37_85
| spl37_86
| ~ spl37_7
| ~ spl37_24 ),
inference(avatar_split_clause,[],[f7237,f6855,f6772,f7245,f7241]) ).
fof(f7241,plain,
( spl37_85
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl37_85])]) ).
fof(f7245,plain,
( spl37_86
<=> ! [X0] :
( aElementOf0(slcrc0,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK35(X0,slcrc0),slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_86])]) ).
fof(f6772,plain,
( spl37_7
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_7])]) ).
fof(f6855,plain,
( spl37_24
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_24])]) ).
fof(f7237,plain,
( ! [X0] :
( ~ aSet0(slcrc0)
| aElementOf0(slcrc0,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sz00 != xk
| aElementOf0(sK35(X0,slcrc0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl37_24 ),
inference(superposition,[],[f4742,f6857]) ).
fof(f6857,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl37_24 ),
inference(avatar_component_clause,[],[f6855]) ).
fof(f7235,plain,
( spl37_83
| spl37_84
| ~ spl37_13 ),
inference(avatar_split_clause,[],[f7202,f6800,f7232,f7229]) ).
fof(f7229,plain,
( spl37_83
<=> ! [X5] :
( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,xk))))
| ~ aSet0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_83])]) ).
fof(f7232,plain,
( spl37_84
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xk)),sdtlpdtrp0(xN,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_84])]) ).
fof(f7202,plain,
( ! [X5] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xk)),sdtlpdtrp0(xN,xk))
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,xk))))
| ~ aSet0(X5) )
| ~ spl37_13 ),
inference(resolution,[],[f4600,f6802]) ).
fof(f4600,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7227,plain,
( spl37_81
| spl37_82
| ~ spl37_50 ),
inference(avatar_split_clause,[],[f7200,f7029,f7225,f7221]) ).
fof(f7221,plain,
( spl37_81
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(xS))),sdtlpdtrp0(xN,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_81])]) ).
fof(f7225,plain,
( spl37_82
<=> ! [X3] :
( aSet0(sdtpldt0(X3,szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(xS)))))
| ~ aSet0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_82])]) ).
fof(f7200,plain,
( ! [X3] :
( aSet0(sdtpldt0(X3,szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(xS)))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(xS))),sdtlpdtrp0(xN,szmzizndt0(xS)))
| ~ aSet0(X3) )
| ~ spl37_50 ),
inference(resolution,[],[f4600,f7031]) ).
fof(f7219,plain,
( spl37_79
| spl37_80
| ~ spl37_5 ),
inference(avatar_split_clause,[],[f7201,f6763,f7217,f7213]) ).
fof(f7213,plain,
( spl37_79
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xK)),sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_79])]) ).
fof(f7217,plain,
( spl37_80
<=> ! [X4] :
( ~ aSet0(X4)
| aSet0(sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,xK)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_80])]) ).
fof(f7201,plain,
( ! [X4] :
( ~ aSet0(X4)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xK)),sdtlpdtrp0(xN,xK))
| aSet0(sdtpldt0(X4,szmzizndt0(sdtlpdtrp0(xN,xK)))) )
| ~ spl37_5 ),
inference(resolution,[],[f4600,f6765]) ).
fof(f7211,plain,
( spl37_77
| spl37_78
| ~ spl37_31 ),
inference(avatar_split_clause,[],[f7203,f6892,f7208,f7205]) ).
fof(f7205,plain,
( spl37_77
<=> ! [X6] :
( ~ aSet0(X6)
| aSet0(sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,sK31)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_77])]) ).
fof(f7203,plain,
( ! [X6] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK31)),sdtlpdtrp0(xN,sK31))
| ~ aSet0(X6)
| aSet0(sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,sK31)))) )
| ~ spl37_31 ),
inference(resolution,[],[f4600,f6894]) ).
fof(f7191,plain,
( spl37_76
| ~ spl37_34
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7187,f6746,f6908,f7189]) ).
fof(f7189,plain,
( spl37_76
<=> ! [X0] :
( aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_76])]) ).
fof(f7187,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| aSubsetOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00))) )
| ~ spl37_1 ),
inference(superposition,[],[f4739,f6748]) ).
fof(f4739,plain,
! [X2,X0] :
( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7186,plain,
( ~ spl37_34
| spl37_75
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7181,f6746,f7184,f6908]) ).
fof(f7184,plain,
( spl37_75
<=> ! [X0,X1] :
( ~ sdtlseqdt0(X1,sz00)
| ~ aElementOf0(X0,xS)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_75])]) ).
fof(f7181,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,xS) )
| ~ spl37_1 ),
inference(superposition,[],[f4414,f6748]) ).
fof(f4414,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f7179,plain,
( ~ spl37_5
| spl37_62 ),
inference(avatar_split_clause,[],[f7178,f7099,f6763]) ).
fof(f7099,plain,
( spl37_62
<=> aSet0(sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_62])]) ).
fof(f7178,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl37_62 ),
inference(resolution,[],[f7100,f4753]) ).
fof(f7100,plain,
( ~ aSet0(sdtlpdtrp0(xN,xK))
| spl37_62 ),
inference(avatar_component_clause,[],[f7099]) ).
fof(f7177,plain,
( spl37_74
| ~ spl37_34
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7173,f6746,f6908,f7175]) ).
fof(f7175,plain,
( spl37_74
<=> ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| aSet0(sdtpldt0(X0,szmzizndt0(xS)))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_74])]) ).
fof(f7173,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,sz00)))
| ~ aSet0(X0)
| aSet0(sdtpldt0(X0,szmzizndt0(xS))) )
| ~ spl37_1 ),
inference(superposition,[],[f6927,f6748]) ).
fof(f6927,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aSet0(X1) ),
inference(forward_subsumption_demodulation,[],[f4590,f4745]) ).
fof(f4590,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f324]) ).
fof(f7172,plain,
( spl37_73
| ~ spl37_50 ),
inference(avatar_split_clause,[],[f7143,f7029,f7169]) ).
fof(f7169,plain,
( spl37_73
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szmzizndt0(xS)),szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(xS)))),xk) = szDzozmdt0(sdtlpdtrp0(xC,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_73])]) ).
fof(f7143,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,szmzizndt0(xS)),szmzizndt0(sdtlpdtrp0(xN,szmzizndt0(xS)))),xk) = szDzozmdt0(sdtlpdtrp0(xC,szmzizndt0(xS)))
| ~ spl37_50 ),
inference(resolution,[],[f4745,f7031]) ).
fof(f7167,plain,
( spl37_72
| ~ spl37_31 ),
inference(avatar_split_clause,[],[f7146,f6892,f7164]) ).
fof(f7146,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sK31)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK31),szmzizndt0(sdtlpdtrp0(xN,sK31))),xk)
| ~ spl37_31 ),
inference(resolution,[],[f4745,f6894]) ).
fof(f7162,plain,
( spl37_71
| ~ spl37_1
| ~ spl37_34 ),
inference(avatar_split_clause,[],[f7157,f6908,f6746,f7159]) ).
fof(f7157,plain,
( szDzozmdt0(sdtlpdtrp0(xC,sz00)) = slbdtsldtrb0(sdtmndt0(xS,szmzizndt0(xS)),xk)
| ~ spl37_1
| ~ spl37_34 ),
inference(forward_demodulation,[],[f7141,f6748]) ).
fof(f7141,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sz00),szmzizndt0(sdtlpdtrp0(xN,sz00))),xk) = szDzozmdt0(sdtlpdtrp0(xC,sz00))
| ~ spl37_34 ),
inference(resolution,[],[f4745,f6910]) ).
fof(f6910,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl37_34 ),
inference(avatar_component_clause,[],[f6908]) ).
fof(f7156,plain,
( spl37_70
| ~ spl37_5 ),
inference(avatar_split_clause,[],[f7144,f6763,f7153]) ).
fof(f7153,plain,
( spl37_70
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xK),szmzizndt0(sdtlpdtrp0(xN,xK))),xk) = szDzozmdt0(sdtlpdtrp0(xC,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_70])]) ).
fof(f7144,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xK),szmzizndt0(sdtlpdtrp0(xN,xK))),xk) = szDzozmdt0(sdtlpdtrp0(xC,xK))
| ~ spl37_5 ),
inference(resolution,[],[f4745,f6765]) ).
fof(f7151,plain,
( spl37_69
| ~ spl37_13 ),
inference(avatar_split_clause,[],[f7145,f6800,f7148]) ).
fof(f7148,plain,
( spl37_69
<=> slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xk),szmzizndt0(sdtlpdtrp0(xN,xk))),xk) = szDzozmdt0(sdtlpdtrp0(xC,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_69])]) ).
fof(f7145,plain,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xk),szmzizndt0(sdtlpdtrp0(xN,xk))),xk) = szDzozmdt0(sdtlpdtrp0(xC,xk))
| ~ spl37_13 ),
inference(resolution,[],[f4745,f6802]) ).
fof(f7140,plain,
( spl37_68
| ~ spl37_34
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7136,f6746,f6908,f7138]) ).
fof(f7138,plain,
( spl37_68
<=> ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_68])]) ).
fof(f7136,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS)))
| aElementOf0(X0,xS) )
| ~ spl37_1 ),
inference(superposition,[],[f4732,f6748]) ).
fof(f4732,plain,
! [X0,X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X5,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7135,plain,
( ~ spl37_66
| ~ spl37_67
| ~ spl37_61 ),
inference(avatar_split_clause,[],[f7126,f7095,f7132,f7128]) ).
fof(f7128,plain,
( spl37_66
<=> isFinite0(sdtlpdtrp0(xN,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_66])]) ).
fof(f7126,plain,
( ~ aSet0(sdtlpdtrp0(xN,xk))
| ~ isFinite0(sdtlpdtrp0(xN,xk))
| ~ spl37_61 ),
inference(resolution,[],[f7096,f371]) ).
fof(f7096,plain,
( isCountable0(sdtlpdtrp0(xN,xk))
| ~ spl37_61 ),
inference(avatar_component_clause,[],[f7095]) ).
fof(f7125,plain,
( ~ spl37_34
| spl37_65
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7117,f6746,f7122,f6908]) ).
fof(f7122,plain,
( spl37_65
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(xS)
| sz00 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_65])]) ).
fof(f7117,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(xS)
| ~ aElementOf0(sz00,szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl37_1 ),
inference(superposition,[],[f359,f6748]) ).
fof(f359,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f236]) ).
fof(f7124,plain,
( ~ spl37_34
| spl37_65
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7118,f6746,f7122,f6908]) ).
fof(f7118,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| sz00 = X0
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(xS) )
| ~ spl37_1 ),
inference(superposition,[],[f359,f6748]) ).
fof(f7116,plain,
( ~ spl37_36
| ~ spl37_38
| ~ spl37_34
| spl37_64
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7110,f6746,f7113,f6908,f6931,f6917]) ).
fof(f7110,plain,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ isCountable0(xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ spl37_1 ),
inference(superposition,[],[f4463,f6748]) ).
fof(f4463,plain,
! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f7108,plain,
( ~ spl37_13
| spl37_61 ),
inference(avatar_split_clause,[],[f7107,f7095,f6800]) ).
fof(f7107,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl37_61 ),
inference(resolution,[],[f7097,f4750]) ).
fof(f4750,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f7097,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xk))
| spl37_61 ),
inference(avatar_component_clause,[],[f7095]) ).
fof(f7106,plain,
( ~ spl37_13
| ~ spl37_61
| spl37_62
| ~ spl37_63
| ~ spl37_28 ),
inference(avatar_split_clause,[],[f7093,f6876,f7103,f7099,f7095,f6800]) ).
fof(f7093,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xk),szNzAzT0)
| aSet0(sdtlpdtrp0(xN,xK))
| ~ isCountable0(sdtlpdtrp0(xN,xk))
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl37_28 ),
inference(superposition,[],[f4448,f6878]) ).
fof(f4448,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f308]) ).
fof(f7086,plain,
( ~ spl37_60
| ~ spl37_34
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7081,f6746,f6908,f7083]) ).
fof(f7083,plain,
( spl37_60
<=> aElementOf0(szmzizndt0(xS),sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_60])]) ).
fof(f7081,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),sdtmndt0(xS,szmzizndt0(xS)))
| ~ spl37_1 ),
inference(superposition,[],[f6722,f6748]) ).
fof(f6722,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f4733]) ).
fof(f4733,plain,
! [X0,X5] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X5
| ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7080,plain,
( ~ spl37_34
| spl37_59
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7072,f6746,f7078,f6908]) ).
fof(f7078,plain,
( spl37_59
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_59])]) ).
fof(f7072,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0) )
| ~ spl37_1 ),
inference(superposition,[],[f4413,f6748]) ).
fof(f4413,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f7076,plain,
( ~ spl37_34
| spl37_58
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7071,f6746,f7074,f6908]) ).
fof(f7074,plain,
( spl37_58
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sz00)
| aSubsetOf0(xS,sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_58])]) ).
fof(f7071,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(xS,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sz00)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl37_1 ),
inference(superposition,[],[f4413,f6748]) ).
fof(f7070,plain,
( spl37_57
| ~ spl37_34
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7066,f6746,f6908,f7068]) ).
fof(f7068,plain,
( spl37_57
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_57])]) ).
fof(f7066,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(xS,szmzizndt0(xS))) )
| ~ spl37_1 ),
inference(superposition,[],[f4731,f6748]) ).
fof(f4731,plain,
! [X0,X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X5)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7065,plain,
( ~ spl37_34
| spl37_56
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7061,f6746,f7063,f6908]) ).
fof(f7063,plain,
( spl37_56
<=> ! [X0] :
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(szmzizndt0(xS),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_56])]) ).
fof(f7061,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl37_1 ),
inference(superposition,[],[f4744,f6748]) ).
fof(f4744,plain,
! [X0,X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7058,plain,
( ~ spl37_53
| spl37_54
| ~ spl37_55
| ~ spl37_51 ),
inference(avatar_split_clause,[],[f7039,f7035,f7055,f7051,f7047]) ).
fof(f7047,plain,
( spl37_53
<=> aSubsetOf0(sK32(sK33),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_53])]) ).
fof(f7051,plain,
( spl37_54
<=> aElementOf0(sK32(sK33),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_54])]) ).
fof(f7055,plain,
( spl37_55
<=> xK = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl37_55])]) ).
fof(f7039,plain,
( xK != xk
| aElementOf0(sK32(sK33),szDzozmdt0(xc))
| ~ aSubsetOf0(sK32(sK33),xS)
| ~ spl37_51 ),
inference(superposition,[],[f4427,f7037]) ).
fof(f4427,plain,
! [X4] :
( xK != sbrdtbr0(X4)
| aElementOf0(X4,szDzozmdt0(xc))
| ~ aSubsetOf0(X4,xS) ),
inference(cnf_transformation,[],[f301]) ).
fof(f7045,plain,
( ~ spl37_47
| spl37_52
| ~ spl37_51 ),
inference(avatar_split_clause,[],[f7040,f7035,f7042,f7006]) ).
fof(f7042,plain,
( spl37_52
<=> aElement0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_52])]) ).
fof(f7040,plain,
( aElement0(xk)
| ~ aSet0(sK32(sK33))
| ~ spl37_51 ),
inference(superposition,[],[f4650,f7037]) ).
fof(f7038,plain,
( spl37_51
| ~ spl37_31
| ~ spl37_43 ),
inference(avatar_split_clause,[],[f7033,f6976,f6892,f7035]) ).
fof(f7033,plain,
( ~ aElementOf0(sK31,szNzAzT0)
| xk = sbrdtbr0(sK32(sK33))
| ~ spl37_43 ),
inference(resolution,[],[f4737,f6978]) ).
fof(f4737,plain,
! [X2,X0] :
( ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X2) = xk
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7032,plain,
( spl37_50
| ~ spl37_48 ),
inference(avatar_split_clause,[],[f7027,f7017,f7029]) ).
fof(f7017,plain,
( spl37_48
<=> aElementOf0(szmzizndt0(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_48])]) ).
fof(f7027,plain,
( aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ spl37_48 ),
inference(resolution,[],[f7019,f380]) ).
fof(f380,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( isCountable0(xS)
& aSet0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS)
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f7019,plain,
( aElementOf0(szmzizndt0(xS),xS)
| ~ spl37_48 ),
inference(avatar_component_clause,[],[f7017]) ).
fof(f7026,plain,
( ~ spl37_34
| spl37_49
| ~ spl37_1 ),
inference(avatar_split_clause,[],[f7021,f6746,f7023,f6908]) ).
fof(f7023,plain,
( spl37_49
<=> aSet0(sdtmndt0(xS,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_49])]) ).
fof(f7021,plain,
( aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl37_1 ),
inference(superposition,[],[f4735,f6748]) ).
fof(f4735,plain,
! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7020,plain,
( spl37_48
| ~ spl37_34
| ~ spl37_1
| ~ spl37_3 ),
inference(avatar_split_clause,[],[f7014,f6754,f6746,f6908,f7017]) ).
fof(f6754,plain,
( spl37_3
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_3])]) ).
fof(f7014,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(szmzizndt0(xS),xS)
| ~ spl37_1
| ~ spl37_3 ),
inference(superposition,[],[f6755,f6748]) ).
fof(f6755,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl37_3 ),
inference(avatar_component_clause,[],[f6754]) ).
fof(f7009,plain,
( ~ spl37_31
| spl37_47
| ~ spl37_43 ),
inference(avatar_split_clause,[],[f7004,f6976,f7006,f6892]) ).
fof(f7004,plain,
( aSet0(sK32(sK33))
| ~ aElementOf0(sK31,szNzAzT0)
| ~ spl37_43 ),
inference(resolution,[],[f4736,f6978]) ).
fof(f4736,plain,
! [X2,X0] :
( ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| aSet0(X2)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f7003,plain,
( ~ spl37_13
| ~ spl37_46
| ~ spl37_28 ),
inference(avatar_split_clause,[],[f6998,f6876,f7000,f6800]) ).
fof(f7000,plain,
( spl37_46
<=> sdtlseqdt0(xK,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_46])]) ).
fof(f6998,plain,
( ~ sdtlseqdt0(xK,sz00)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl37_28 ),
inference(superposition,[],[f363,f6878]) ).
fof(f363,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f6997,plain,
( spl37_45
| ~ spl37_13
| ~ spl37_28 ),
inference(avatar_split_clause,[],[f6992,f6876,f6800,f6994]) ).
fof(f6994,plain,
( spl37_45
<=> iLess0(xk,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_45])]) ).
fof(f6992,plain,
( ~ aElementOf0(xk,szNzAzT0)
| iLess0(xk,xK)
| ~ spl37_28 ),
inference(superposition,[],[f362,f6878]) ).
fof(f362,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(f6985,plain,
( spl37_44
| ~ spl37_33 ),
inference(avatar_split_clause,[],[f6980,f6903,f6982]) ).
fof(f6903,plain,
( spl37_33
<=> aElementOf0(sK33,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_33])]) ).
fof(f6980,plain,
( sK33 = sdtlpdtrp0(sdtlpdtrp0(xC,sK31),sK32(sK33))
| ~ spl37_33 ),
inference(resolution,[],[f4634,f6905]) ).
fof(f6905,plain,
( aElementOf0(sK33,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))))
| ~ spl37_33 ),
inference(avatar_component_clause,[],[f6903]) ).
fof(f4634,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))))
| sdtlpdtrp0(sdtlpdtrp0(xC,sK31),sK32(X1)) = X1 ),
inference(cnf_transformation,[],[f343]) ).
fof(f343,plain,
( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))))
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))))
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,sK31)))
| sdtlpdtrp0(sdtlpdtrp0(xC,sK31),X2) != X1 ) )
& ( ( aElementOf0(sK32(X1),szDzozmdt0(sdtlpdtrp0(xC,sK31)))
& sdtlpdtrp0(sdtlpdtrp0(xC,sK31),sK32(X1)) = X1 )
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31)))) ) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))),xT)
& aElementOf0(sK31,szNzAzT0)
& aElementOf0(sK33,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))))
& ~ aElementOf0(sK33,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32,sK33])],[f339,f342,f341,f340]) ).
fof(f340,plain,
( ? [X0] :
( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1 ) )
& ( ? [X3] :
( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1 )
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& aElementOf0(X0,szNzAzT0)
& ? [X4] :
( aElementOf0(X4,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ~ aElementOf0(X4,xT) ) )
=> ( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))))
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))))
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,sK31)))
| sdtlpdtrp0(sdtlpdtrp0(xC,sK31),X2) != X1 ) )
& ( ? [X3] :
( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,sK31)))
& sdtlpdtrp0(sdtlpdtrp0(xC,sK31),X3) = X1 )
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31)))) ) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))),xT)
& aElementOf0(sK31,szNzAzT0)
& ? [X4] :
( aElementOf0(X4,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))))
& ~ aElementOf0(X4,xT) ) ) ),
introduced(choice_axiom,[]) ).
fof(f341,plain,
! [X1] :
( ? [X3] :
( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,sK31)))
& sdtlpdtrp0(sdtlpdtrp0(xC,sK31),X3) = X1 )
=> ( aElementOf0(sK32(X1),szDzozmdt0(sdtlpdtrp0(xC,sK31)))
& sdtlpdtrp0(sdtlpdtrp0(xC,sK31),sK32(X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f342,plain,
( ? [X4] :
( aElementOf0(X4,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))))
& ~ aElementOf0(X4,xT) )
=> ( aElementOf0(sK33,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))))
& ~ aElementOf0(sK33,xT) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
? [X0] :
( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1 ) )
& ( ? [X3] :
( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1 )
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& aElementOf0(X0,szNzAzT0)
& ? [X4] :
( aElementOf0(X4,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ~ aElementOf0(X4,xT) ) ),
inference(rectify,[],[f338]) ).
fof(f338,plain,
? [X0] :
( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1 ) )
& ( ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 )
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& aElementOf0(X0,szNzAzT0)
& ? [X3] :
( aElementOf0(X3,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ~ aElementOf0(X3,xT) ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
? [X0] :
( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& aElementOf0(X0,szNzAzT0)
& ? [X3] :
( aElementOf0(X3,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ~ aElementOf0(X3,xT) ) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
? [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ? [X3] :
( aElementOf0(X3,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ~ aElementOf0(X3,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X3,xT) ) ) ) ),
inference(rectify,[],[f88]) ).
fof(f88,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X1,xT) ) ) ) ),
inference(negated_conjecture,[],[f87]) ).
fof(f87,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X1,xT) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f6979,plain,
( spl37_43
| ~ spl37_33 ),
inference(avatar_split_clause,[],[f6974,f6903,f6976]) ).
fof(f6974,plain,
( aElementOf0(sK32(sK33),szDzozmdt0(sdtlpdtrp0(xC,sK31)))
| ~ spl37_33 ),
inference(resolution,[],[f4635,f6905]) ).
fof(f4635,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))))
| aElementOf0(sK32(X1),szDzozmdt0(sdtlpdtrp0(xC,sK31))) ),
inference(cnf_transformation,[],[f343]) ).
fof(f6970,plain,
( ~ spl37_42
| ~ spl37_29
| ~ spl37_9 ),
inference(avatar_split_clause,[],[f6960,f6781,f6881,f6967]) ).
fof(f6967,plain,
( spl37_42
<=> isFinite0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_42])]) ).
fof(f6881,plain,
( spl37_29
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_29])]) ).
fof(f6781,plain,
( spl37_9
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_9])]) ).
fof(f6960,plain,
( ~ aSet0(szNzAzT0)
| ~ isFinite0(szNzAzT0)
| ~ spl37_9 ),
inference(resolution,[],[f371,f6783]) ).
fof(f6783,plain,
( isCountable0(szNzAzT0)
| ~ spl37_9 ),
inference(avatar_component_clause,[],[f6781]) ).
fof(f6965,plain,
( ~ spl37_22
| ~ spl37_41
| ~ spl37_38 ),
inference(avatar_split_clause,[],[f6959,f6931,f6962,f6845]) ).
fof(f6962,plain,
( spl37_41
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_41])]) ).
fof(f6959,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS)
| ~ spl37_38 ),
inference(resolution,[],[f371,f6933]) ).
fof(f6933,plain,
( isCountable0(xS)
| ~ spl37_38 ),
inference(avatar_component_clause,[],[f6931]) ).
fof(f6958,plain,
( ~ spl37_7
| spl37_40
| ~ spl37_24 ),
inference(avatar_split_clause,[],[f6953,f6855,f6955,f6772]) ).
fof(f6955,plain,
( spl37_40
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_40])]) ).
fof(f6953,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0)
| ~ spl37_24 ),
inference(superposition,[],[f4650,f6857]) ).
fof(f6950,plain,
( ~ spl37_2
| ~ spl37_21 ),
inference(avatar_contradiction_clause,[],[f6949]) ).
fof(f6949,plain,
( $false
| ~ spl37_2
| ~ spl37_21 ),
inference(resolution,[],[f6842,f6752]) ).
fof(f6752,plain,
( ! [X6] : ~ aSet0(X6)
| ~ spl37_2 ),
inference(avatar_component_clause,[],[f6751]) ).
fof(f6751,plain,
( spl37_2
<=> ! [X6] : ~ aSet0(X6) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_2])]) ).
fof(f6842,plain,
( aSet0(xT)
| ~ spl37_21 ),
inference(avatar_component_clause,[],[f6840]) ).
fof(f6840,plain,
( spl37_21
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_21])]) ).
fof(f6939,plain,
spl37_39,
inference(avatar_split_clause,[],[f4637,f6936]) ).
fof(f6936,plain,
( spl37_39
<=> aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_39])]) ).
fof(f4637,plain,
aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31)))),
inference(cnf_transformation,[],[f343]) ).
fof(f6934,plain,
spl37_38,
inference(avatar_split_clause,[],[f383,f6931]) ).
fof(f383,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f232]) ).
fof(f6928,plain,
~ spl37_37,
inference(avatar_split_clause,[],[f431,f6922]) ).
fof(f6922,plain,
( spl37_37
<=> sz00 = xK ),
introduced(avatar_definition,[new_symbols(naming,[spl37_37])]) ).
fof(f431,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f6925,plain,
~ spl37_37,
inference(avatar_split_clause,[],[f4415,f6922]) ).
fof(f4415,plain,
sz00 != xK,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
sz00 != xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3520) ).
fof(f6920,plain,
spl37_36,
inference(avatar_split_clause,[],[f381,f6917]) ).
fof(f381,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f232]) ).
fof(f6915,plain,
( spl37_2
| spl37_35 ),
inference(avatar_split_clause,[],[f4665,f6913,f6751]) ).
fof(f6913,plain,
( spl37_35
<=> ! [X9,X0,X10] :
( ~ aElementOf0(X9,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_35])]) ).
fof(f4665,plain,
! [X10,X0,X6,X9] :
( ~ aElementOf0(X9,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10)
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aSet0(X6)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f6911,plain,
spl37_34,
inference(avatar_split_clause,[],[f394,f6908]) ).
fof(f394,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f6906,plain,
spl37_33,
inference(avatar_split_clause,[],[f4631,f6903]) ).
fof(f4631,plain,
aElementOf0(sK33,sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31)))),
inference(cnf_transformation,[],[f343]) ).
fof(f6901,plain,
spl37_32,
inference(avatar_split_clause,[],[f4426,f6898]) ).
fof(f6898,plain,
( spl37_32
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_32])]) ).
fof(f4426,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f301]) ).
fof(f6896,plain,
spl37_3,
inference(avatar_split_clause,[],[f4743,f6754]) ).
fof(f4743,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f6895,plain,
spl37_31,
inference(avatar_split_clause,[],[f4632,f6892]) ).
fof(f4632,plain,
aElementOf0(sK31,szNzAzT0),
inference(cnf_transformation,[],[f343]) ).
fof(f6890,plain,
spl37_30,
inference(avatar_split_clause,[],[f4477,f6887]) ).
fof(f6887,plain,
( spl37_30
<=> aFunction0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_30])]) ).
fof(f4477,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f308]) ).
fof(f6885,plain,
( spl37_2
| spl37_3 ),
inference(avatar_split_clause,[],[f6743,f6754,f6751]) ).
fof(f6743,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f4534]) ).
fof(f4534,plain,
! [X0,X1] :
( ~ aSet0(X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f6884,plain,
spl37_29,
inference(avatar_split_clause,[],[f408,f6881]) ).
fof(f408,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f6879,plain,
spl37_28,
inference(avatar_split_clause,[],[f434,f6876]) ).
fof(f434,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( aElementOf0(xk,szNzAzT0)
& xK = szszuzczcdt0(xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(f6874,plain,
( spl37_2
| spl37_6 ),
inference(avatar_split_clause,[],[f4512,f6768,f6751]) ).
fof(f6768,plain,
( spl37_6
<=> ! [X9,X0] :
( ~ aElementOf0(X9,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_6])]) ).
fof(f4512,plain,
! [X0,X1,X4] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aSet0(X1)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) ),
inference(cnf_transformation,[],[f324]) ).
fof(f6873,plain,
spl37_27,
inference(avatar_split_clause,[],[f4652,f6870]) ).
fof(f6870,plain,
( spl37_27
<=> aFunction0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_27])]) ).
fof(f4652,plain,
aFunction0(xC),
inference(cnf_transformation,[],[f355]) ).
fof(f6868,plain,
~ spl37_26,
inference(avatar_split_clause,[],[f4630,f6865]) ).
fof(f6865,plain,
( spl37_26
<=> aElementOf0(sK33,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_26])]) ).
fof(f4630,plain,
~ aElementOf0(sK33,xT),
inference(cnf_transformation,[],[f343]) ).
fof(f6863,plain,
spl37_25,
inference(avatar_split_clause,[],[f4425,f6860]) ).
fof(f4425,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f301]) ).
fof(f6858,plain,
( spl37_24
| ~ spl37_7 ),
inference(avatar_split_clause,[],[f6684,f6772,f6855]) ).
fof(f6684,plain,
( ~ aSet0(slcrc0)
| sz00 = sbrdtbr0(slcrc0) ),
inference(equality_resolution,[],[f4479]) ).
fof(f4479,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f309,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f6853,plain,
spl37_23,
inference(avatar_split_clause,[],[f4649,f6850]) ).
fof(f6850,plain,
( spl37_23
<=> slcrc0 = slbdtrb0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_23])]) ).
fof(f4649,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(f6848,plain,
spl37_22,
inference(avatar_split_clause,[],[f382,f6845]) ).
fof(f382,plain,
aSet0(xS),
inference(cnf_transformation,[],[f232]) ).
fof(f6843,plain,
spl37_21,
inference(avatar_split_clause,[],[f367,f6840]) ).
fof(f367,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
fof(f6838,plain,
spl37_20,
inference(avatar_split_clause,[],[f4436,f6835]) ).
fof(f6835,plain,
( spl37_20
<=> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_20])]) ).
fof(f4436,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f301]) ).
fof(f6833,plain,
( ~ spl37_7
| ~ spl37_19 ),
inference(avatar_split_clause,[],[f4771,f6830,f6772]) ).
fof(f6830,plain,
( spl37_19
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_19])]) ).
fof(f4771,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f395]) ).
fof(f395,plain,
! [X0] :
( ~ aSet0(X0)
| slcrc0 != X0
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ aSet0(X0)
| slcrc0 != X0
| ~ isCountable0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f6828,plain,
( spl37_14
| spl37_2 ),
inference(avatar_split_clause,[],[f6709,f6751,f6806]) ).
fof(f6806,plain,
( spl37_14
<=> ! [X0,X10] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10)
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_14])]) ).
fof(f6709,plain,
! [X0,X1,X4] :
( ~ aSet0(X1)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) ),
inference(equality_resolution,[],[f4507]) ).
fof(f4507,plain,
! [X0,X1,X6,X4] :
( ~ aSet0(X1)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f6827,plain,
spl37_18,
inference(avatar_split_clause,[],[f368,f6824]) ).
fof(f6824,plain,
( spl37_18
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_18])]) ).
fof(f368,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f6822,plain,
spl37_17,
inference(avatar_split_clause,[],[f4442,f6819]) ).
fof(f6819,plain,
( spl37_17
<=> szNzAzT0 = szDzozmdt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_17])]) ).
fof(f4442,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f308]) ).
fof(f6817,plain,
( spl37_2
| spl37_16 ),
inference(avatar_split_clause,[],[f4510,f6815,f6751]) ).
fof(f6815,plain,
( spl37_16
<=> ! [X6,X4,X0] :
( ~ aElementOf0(X6,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElement0(X6)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_16])]) ).
fof(f4510,plain,
! [X0,X1,X6,X4] :
( ~ aElementOf0(X6,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| ~ aElement0(X6)
| ~ aSet0(X1)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) ),
inference(cnf_transformation,[],[f324]) ).
fof(f6813,plain,
spl37_15,
inference(avatar_split_clause,[],[f4653,f6810]) ).
fof(f6810,plain,
( spl37_15
<=> szNzAzT0 = szDzozmdt0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_15])]) ).
fof(f4653,plain,
szNzAzT0 = szDzozmdt0(xC),
inference(cnf_transformation,[],[f355]) ).
fof(f6808,plain,
( spl37_2
| spl37_14 ),
inference(avatar_split_clause,[],[f6731,f6806,f6751]) ).
fof(f6731,plain,
! [X10,X0,X6] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X6)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) ),
inference(equality_resolution,[],[f4686]) ).
fof(f4686,plain,
! [X10,X0,X8,X6] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10)
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| ~ aSet0(X6) ),
inference(cnf_transformation,[],[f355]) ).
fof(f6804,plain,
( spl37_2
| spl37_6 ),
inference(avatar_split_clause,[],[f4700,f6768,f6751]) ).
fof(f4700,plain,
! [X10,X0,X6] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X6)
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) ),
inference(cnf_transformation,[],[f355]) ).
fof(f6803,plain,
spl37_13,
inference(avatar_split_clause,[],[f435,f6800]) ).
fof(f435,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f6798,plain,
spl37_12,
inference(avatar_split_clause,[],[f415,f6795]) ).
fof(f6795,plain,
( spl37_12
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_12])]) ).
fof(f415,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(f6793,plain,
spl37_11,
inference(avatar_split_clause,[],[f4435,f6790]) ).
fof(f6790,plain,
( spl37_11
<=> aFunction0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_11])]) ).
fof(f4435,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f301]) ).
fof(f6788,plain,
( spl37_2
| spl37_10 ),
inference(avatar_split_clause,[],[f4525,f6786,f6751]) ).
fof(f6786,plain,
( spl37_10
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_10])]) ).
fof(f4525,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f324]) ).
fof(f6784,plain,
spl37_9,
inference(avatar_split_clause,[],[f409,f6781]) ).
fof(f409,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f6779,plain,
( spl37_2
| spl37_8 ),
inference(avatar_split_clause,[],[f4693,f6777,f6751]) ).
fof(f6777,plain,
( spl37_8
<=> ! [X0,X8,X10] :
( aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_8])]) ).
fof(f4693,plain,
! [X10,X0,X8,X6] :
( aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X6)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10)
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f355]) ).
fof(f6775,plain,
spl37_7,
inference(avatar_split_clause,[],[f6673,f6772]) ).
fof(f6673,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f4411]) ).
fof(f4411,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| aElementOf0(sK18(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f287,f288]) ).
fof(f288,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK18(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f287,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( slcrc0 = X0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f6770,plain,
( spl37_2
| spl37_6 ),
inference(avatar_split_clause,[],[f4666,f6768,f6751]) ).
fof(f4666,plain,
! [X0,X6,X9] :
( ~ aElementOf0(X9,sdtlpdtrp0(xN,X0))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aSet0(X6)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9) ),
inference(cnf_transformation,[],[f355]) ).
fof(f6766,plain,
spl37_5,
inference(avatar_split_clause,[],[f4755,f6763]) ).
fof(f4755,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f6761,plain,
~ spl37_4,
inference(avatar_split_clause,[],[f4633,f6758]) ).
fof(f6758,plain,
( spl37_4
<=> aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_4])]) ).
fof(f4633,plain,
~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,sK31),szDzozmdt0(sdtlpdtrp0(xC,sK31))),xT),
inference(cnf_transformation,[],[f343]) ).
fof(f6756,plain,
( spl37_2
| spl37_3 ),
inference(avatar_split_clause,[],[f6744,f6754,f6751]) ).
fof(f6744,plain,
! [X0,X6] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X6)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(duplicate_literal_removal,[],[f4701]) ).
fof(f4701,plain,
! [X0,X6] :
( ~ aSet0(X6)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f6749,plain,
spl37_1,
inference(avatar_split_clause,[],[f4476,f6746]) ).
fof(f4476,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM585+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 07:13:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.51 % (22690)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (22691)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (22713)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 % (22701)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (22695)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (22697)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (22697)Instruction limit reached!
% 0.20/0.52 % (22697)------------------------------
% 0.20/0.52 % (22697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (22697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (22697)Termination reason: Unknown
% 0.20/0.52 % (22697)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (22697)Memory used [KB]: 1407
% 0.20/0.52 % (22697)Time elapsed: 0.006 s
% 0.20/0.52 % (22697)Instructions burned: 8 (million)
% 0.20/0.52 % (22697)------------------------------
% 0.20/0.52 % (22697)------------------------------
% 0.20/0.52 % (22705)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (22704)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (22696)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (22716)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (22715)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (22712)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (22692)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.45/0.54 % (22709)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.54 % (22718)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.45/0.54 % (22708)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.55 % (22707)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.45/0.55 % (22710)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.45/0.55 % (22714)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.55 % (22703)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.45/0.55 % (22693)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.55 % (22700)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.55 % (22698)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.45/0.55 % (22698)Instruction limit reached!
% 1.45/0.55 % (22698)------------------------------
% 1.45/0.55 % (22698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (22698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (22698)Termination reason: Unknown
% 1.45/0.55 % (22698)Termination phase: shuffling
% 1.45/0.55
% 1.45/0.55 % (22698)Memory used [KB]: 1023
% 1.45/0.55 % (22698)Time elapsed: 0.002 s
% 1.45/0.55 % (22698)Instructions burned: 2 (million)
% 1.45/0.55 % (22698)------------------------------
% 1.45/0.55 % (22698)------------------------------
% 1.59/0.56 % (22694)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.59/0.56 % (22706)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.59/0.57 % (22717)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.59/0.57 % (22699)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.59/0.57 % (22711)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.59/0.57 % (22719)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.59/0.58 % (22702)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.59/0.59 % (22692)Instruction limit reached!
% 1.59/0.59 % (22692)------------------------------
% 1.59/0.59 % (22692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (22692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 % (22692)Termination reason: Unknown
% 1.59/0.59 % (22692)Termination phase: Saturation
% 1.59/0.59
% 1.59/0.59 % (22692)Memory used [KB]: 1663
% 1.59/0.59 % (22692)Time elapsed: 0.191 s
% 1.59/0.59 % (22692)Instructions burned: 38 (million)
% 1.59/0.59 % (22692)------------------------------
% 1.59/0.59 % (22692)------------------------------
% 1.59/0.61 TRYING [1]
% 1.59/0.61 % (22691)Instruction limit reached!
% 1.59/0.61 % (22691)------------------------------
% 1.59/0.61 % (22691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.61 % (22691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.61 % (22691)Termination reason: Unknown
% 1.59/0.61 % (22691)Termination phase: Saturation
% 1.59/0.61
% 1.59/0.61 % (22691)Memory used [KB]: 6652
% 1.59/0.61 % (22691)Time elapsed: 0.185 s
% 1.59/0.61 % (22691)Instructions burned: 50 (million)
% 1.59/0.61 % (22691)------------------------------
% 1.59/0.61 % (22691)------------------------------
% 1.59/0.61 % (22696)Instruction limit reached!
% 1.59/0.61 % (22696)------------------------------
% 1.59/0.61 % (22696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.61 % (22696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.61 % (22696)Termination reason: Unknown
% 1.59/0.61 % (22696)Termination phase: Finite model building preprocessing
% 1.59/0.61
% 1.59/0.61 % (22696)Memory used [KB]: 7291
% 1.59/0.61 % (22696)Time elapsed: 0.024 s
% 1.59/0.61 % (22696)Instructions burned: 51 (million)
% 1.59/0.61 % (22696)------------------------------
% 1.59/0.61 % (22696)------------------------------
% 1.59/0.62 % (22695)Instruction limit reached!
% 1.59/0.62 % (22695)------------------------------
% 1.59/0.62 % (22695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.62 % (22695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.62 % (22695)Termination reason: Unknown
% 1.59/0.62 % (22695)Termination phase: Saturation
% 1.59/0.62
% 1.59/0.62 % (22695)Memory used [KB]: 6652
% 1.59/0.62 % (22695)Time elapsed: 0.202 s
% 1.59/0.62 % (22695)Instructions burned: 49 (million)
% 1.59/0.62 % (22695)------------------------------
% 1.59/0.62 % (22695)------------------------------
% 1.59/0.62 % (22705)Instruction limit reached!
% 1.59/0.62 % (22705)------------------------------
% 1.59/0.62 % (22705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.62 % (22705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.62 % (22705)Termination reason: Unknown
% 1.59/0.62 % (22705)Termination phase: Saturation
% 1.59/0.62
% 1.59/0.62 % (22705)Memory used [KB]: 2302
% 1.59/0.62 % (22705)Time elapsed: 0.214 s
% 1.59/0.62 % (22705)Instructions burned: 75 (million)
% 1.59/0.62 % (22705)------------------------------
% 1.59/0.62 % (22705)------------------------------
% 2.16/0.63 TRYING [2]
% 2.16/0.63 % (22693)Instruction limit reached!
% 2.16/0.63 % (22693)------------------------------
% 2.16/0.63 % (22693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.63 % (22693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.63 % (22693)Termination reason: Unknown
% 2.16/0.63 % (22693)Termination phase: Saturation
% 2.16/0.63
% 2.16/0.63 % (22693)Memory used [KB]: 6396
% 2.16/0.63 % (22693)Time elapsed: 0.232 s
% 2.16/0.63 % (22693)Instructions burned: 51 (million)
% 2.16/0.63 % (22693)------------------------------
% 2.16/0.63 % (22693)------------------------------
% 2.16/0.64 % (22700)Instruction limit reached!
% 2.16/0.64 % (22700)------------------------------
% 2.16/0.64 % (22700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.64 % (22700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.64 % (22700)Termination reason: Unknown
% 2.16/0.64 % (22700)Termination phase: Saturation
% 2.16/0.64
% 2.16/0.64 % (22700)Memory used [KB]: 6524
% 2.16/0.64 % (22700)Time elapsed: 0.248 s
% 2.16/0.64 % (22700)Instructions burned: 51 (million)
% 2.16/0.64 % (22700)------------------------------
% 2.16/0.64 % (22700)------------------------------
% 2.16/0.65 % (22699)Instruction limit reached!
% 2.16/0.65 % (22699)------------------------------
% 2.16/0.65 % (22699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.65 % (22699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.65 % (22699)Termination reason: Unknown
% 2.16/0.65 % (22699)Termination phase: Saturation
% 2.16/0.65
% 2.16/0.65 % (22699)Memory used [KB]: 2174
% 2.16/0.65 % (22699)Time elapsed: 0.237 s
% 2.16/0.65 % (22699)Instructions burned: 52 (million)
% 2.16/0.65 % (22699)------------------------------
% 2.16/0.65 % (22699)------------------------------
% 2.16/0.65 % (22707)Instruction limit reached!
% 2.16/0.65 % (22707)------------------------------
% 2.16/0.65 % (22707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.65 % (22707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.65 % (22707)Termination reason: Unknown
% 2.16/0.65 % (22707)Termination phase: Finite model building preprocessing
% 2.16/0.65
% 2.16/0.65 % (22707)Memory used [KB]: 7419
% 2.16/0.65 % (22707)Time elapsed: 0.026 s
% 2.16/0.65 % (22707)Instructions burned: 59 (million)
% 2.16/0.65 % (22707)------------------------------
% 2.16/0.65 % (22707)------------------------------
% 2.16/0.65 % (22694)Instruction limit reached!
% 2.16/0.65 % (22694)------------------------------
% 2.16/0.65 % (22694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.65 % (22694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.65 % (22694)Termination reason: Unknown
% 2.16/0.65 % (22694)Termination phase: Saturation
% 2.16/0.65
% 2.16/0.65 % (22694)Memory used [KB]: 6908
% 2.16/0.65 % (22694)Time elapsed: 0.231 s
% 2.16/0.65 % (22694)Instructions burned: 52 (million)
% 2.16/0.65 % (22694)------------------------------
% 2.16/0.65 % (22694)------------------------------
% 2.16/0.66 % (22704)Instruction limit reached!
% 2.16/0.66 % (22704)------------------------------
% 2.16/0.66 % (22704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.66 % (22704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.66 % (22704)Termination reason: Unknown
% 2.16/0.66 % (22704)Termination phase: Saturation
% 2.16/0.66
% 2.16/0.66 % (22704)Memory used [KB]: 7164
% 2.16/0.66 % (22704)Time elapsed: 0.039 s
% 2.16/0.66 % (22704)Instructions burned: 68 (million)
% 2.16/0.66 % (22704)------------------------------
% 2.16/0.66 % (22704)------------------------------
% 2.16/0.66 % (22716)Instruction limit reached!
% 2.16/0.66 % (22716)------------------------------
% 2.16/0.66 % (22716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.66 % (22716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.66 % (22716)Termination reason: Unknown
% 2.16/0.66 % (22716)Termination phase: Saturation
% 2.16/0.66
% 2.16/0.66 % (22716)Memory used [KB]: 7291
% 2.16/0.66 % (22716)Time elapsed: 0.041 s
% 2.16/0.66 % (22716)Instructions burned: 68 (million)
% 2.16/0.66 % (22716)------------------------------
% 2.16/0.66 % (22716)------------------------------
% 2.42/0.69 % (22721)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.42/0.70 % (22720)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.42/0.72 % (22709)Instruction limit reached!
% 2.42/0.72 % (22709)------------------------------
% 2.42/0.72 % (22709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.72 % (22701)Instruction limit reached!
% 2.42/0.72 % (22701)------------------------------
% 2.42/0.72 % (22701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.72 % (22701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.72 % (22701)Termination reason: Unknown
% 2.42/0.72 % (22701)Termination phase: Saturation
% 2.42/0.72
% 2.42/0.72 % (22701)Memory used [KB]: 7675
% 2.42/0.72 % (22701)Time elapsed: 0.295 s
% 2.42/0.72 % (22701)Instructions burned: 101 (million)
% 2.42/0.72 % (22701)------------------------------
% 2.42/0.72 % (22701)------------------------------
% 2.42/0.72 % (22709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.72 % (22709)Termination reason: Unknown
% 2.42/0.72 % (22709)Termination phase: Saturation
% 2.42/0.72
% 2.42/0.72 % (22709)Memory used [KB]: 2558
% 2.42/0.72 % (22709)Time elapsed: 0.289 s
% 2.42/0.72 % (22709)Instructions burned: 100 (million)
% 2.42/0.72 % (22709)------------------------------
% 2.42/0.72 % (22709)------------------------------
% 2.42/0.72 % (22722)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.42/0.73 % (22703)Instruction limit reached!
% 2.42/0.73 % (22703)------------------------------
% 2.42/0.73 % (22703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.73 % (22703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.73 % (22703)Termination reason: Unknown
% 2.42/0.73 % (22703)Termination phase: Saturation
% 2.42/0.73
% 2.42/0.73 % (22703)Memory used [KB]: 7419
% 2.42/0.73 % (22703)Time elapsed: 0.302 s
% 2.42/0.73 % (22703)Instructions burned: 99 (million)
% 2.42/0.73 % (22703)------------------------------
% 2.42/0.73 % (22703)------------------------------
% 2.42/0.73 % (22708)Instruction limit reached!
% 2.42/0.73 % (22708)------------------------------
% 2.42/0.73 % (22708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.73 % (22708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.73 % (22708)Termination reason: Unknown
% 2.42/0.73 % (22708)Termination phase: Saturation
% 2.42/0.73
% 2.42/0.73 % (22708)Memory used [KB]: 7164
% 2.42/0.73 % (22708)Time elapsed: 0.319 s
% 2.42/0.73 % (22708)Instructions burned: 101 (million)
% 2.42/0.73 % (22708)------------------------------
% 2.42/0.73 % (22708)------------------------------
% 2.76/0.75 % (22706)Instruction limit reached!
% 2.76/0.75 % (22706)------------------------------
% 2.76/0.75 % (22706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.75 % (22706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.75 % (22706)Termination reason: Unknown
% 2.76/0.75 % (22706)Termination phase: Saturation
% 2.76/0.75
% 2.76/0.75 % (22706)Memory used [KB]: 7291
% 2.76/0.75 % (22706)Time elapsed: 0.346 s
% 2.76/0.75 % (22706)Instructions burned: 99 (million)
% 2.76/0.75 % (22706)------------------------------
% 2.76/0.75 % (22706)------------------------------
% 2.76/0.75 % (22724)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.76/0.75 TRYING [3]
% 2.76/0.76 % (22727)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.76/0.76 % (22723)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.87/0.78 % (22702)Instruction limit reached!
% 2.87/0.78 % (22702)------------------------------
% 2.87/0.78 % (22702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.78 % (22702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.78 % (22702)Termination reason: Unknown
% 2.87/0.78 % (22702)Termination phase: Saturation
% 2.87/0.78
% 2.87/0.78 % (22702)Memory used [KB]: 7675
% 2.87/0.78 % (22702)Time elapsed: 0.375 s
% 2.87/0.78 % (22702)Instructions burned: 102 (million)
% 2.87/0.78 % (22702)------------------------------
% 2.87/0.78 % (22702)------------------------------
% 2.87/0.78 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.87/0.78 % (22729)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.87/0.79 % (22730)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.87/0.79 % (22726)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.87/0.80 % (22725)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.87/0.80 % (22728)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.87/0.80 % (22731)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.87/0.81 % (22733)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.87/0.81 % (22732)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 3.04/0.84 % (22711)Instruction limit reached!
% 3.04/0.84 % (22711)------------------------------
% 3.04/0.84 % (22711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.84 % (22711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.84 % (22711)Termination reason: Unknown
% 3.04/0.84 % (22711)Termination phase: Saturation
% 3.04/0.84
% 3.04/0.84 % (22711)Memory used [KB]: 7675
% 3.04/0.84 % (22711)Time elapsed: 0.438 s
% 3.04/0.84 % (22711)Instructions burned: 138 (million)
% 3.04/0.84 % (22711)------------------------------
% 3.04/0.84 % (22711)------------------------------
% 3.04/0.85 % (22735)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.14/0.87 % (22736)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.14/0.87 % (22734)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.14/0.88 % (22727)Instruction limit reached!
% 3.14/0.88 % (22727)------------------------------
% 3.14/0.88 % (22727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.88 % (22727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.88 % (22727)Termination reason: Unknown
% 3.14/0.88 % (22727)Termination phase: Saturation
% 3.14/0.88
% 3.14/0.88 % (22727)Memory used [KB]: 7291
% 3.14/0.88 % (22727)Time elapsed: 0.036 s
% 3.14/0.88 % (22727)Instructions burned: 68 (million)
% 3.14/0.88 % (22727)------------------------------
% 3.14/0.88 % (22727)------------------------------
% 3.14/0.89 % (22738)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.14/0.89 % (22737)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.14/0.91 % (22722)Instruction limit reached!
% 3.14/0.91 % (22722)------------------------------
% 3.14/0.91 % (22722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.91 % (22722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.91 % (22722)Termination reason: Unknown
% 3.14/0.91 % (22722)Termination phase: Saturation
% 3.14/0.91
% 3.14/0.91 % (22722)Memory used [KB]: 7419
% 3.14/0.91 % (22722)Time elapsed: 0.260 s
% 3.14/0.91 % (22722)Instructions burned: 90 (million)
% 3.14/0.91 % (22722)------------------------------
% 3.14/0.91 % (22722)------------------------------
% 3.14/0.91 % (22717)Instruction limit reached!
% 3.14/0.91 % (22717)------------------------------
% 3.14/0.91 % (22717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.91 % (22717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.91 % (22717)Termination reason: Unknown
% 3.14/0.91 % (22717)Termination phase: Saturation
% 3.14/0.91
% 3.14/0.91 % (22717)Memory used [KB]: 3709
% 3.14/0.91 % (22717)Time elapsed: 0.517 s
% 3.14/0.91 % (22717)Instructions burned: 177 (million)
% 3.14/0.91 % (22717)------------------------------
% 3.14/0.91 % (22717)------------------------------
% 3.46/0.93 % (22710)Instruction limit reached!
% 3.46/0.93 % (22710)------------------------------
% 3.46/0.93 % (22710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.93 % (22710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.93 % (22710)Termination reason: Unknown
% 3.46/0.93 % (22710)Termination phase: Saturation
% 3.46/0.93
% 3.46/0.93 % (22710)Memory used [KB]: 8699
% 3.46/0.93 % (22710)Time elapsed: 0.525 s
% 3.46/0.93 % (22710)Instructions burned: 177 (million)
% 3.46/0.93 % (22710)------------------------------
% 3.46/0.93 % (22710)------------------------------
% 3.46/0.95 % (22739)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.46/0.95 % (22730)Instruction limit reached!
% 3.46/0.95 % (22730)------------------------------
% 3.46/0.95 % (22730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.95 % (22730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.95 % (22730)Termination reason: Unknown
% 3.46/0.95 % (22730)Termination phase: Saturation
% 3.46/0.95
% 3.46/0.95 % (22730)Memory used [KB]: 7164
% 3.46/0.95 % (22730)Time elapsed: 0.278 s
% 3.46/0.95 % (22730)Instructions burned: 91 (million)
% 3.46/0.95 % (22730)------------------------------
% 3.46/0.95 % (22730)------------------------------
% 3.64/1.00 % (22737)Instruction limit reached!
% 3.64/1.00 % (22737)------------------------------
% 3.64/1.00 % (22737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.64/1.00 % (22737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.64/1.00 % (22737)Termination reason: Unknown
% 3.64/1.00 % (22737)Termination phase: Saturation
% 3.64/1.00
% 3.64/1.00 % (22737)Memory used [KB]: 7291
% 3.64/1.00 % (22737)Time elapsed: 0.036 s
% 3.64/1.00 % (22737)Instructions burned: 68 (million)
% 3.64/1.00 % (22737)------------------------------
% 3.64/1.00 % (22737)------------------------------
% 3.64/1.01 % (22741)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.64/1.02 % (22740)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.64/1.03 % (22742)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.84/1.05 % (22743)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.84/1.06 % (22744)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 5.68/1.08 % (22721)Instruction limit reached!
% 5.68/1.08 % (22721)------------------------------
% 5.68/1.08 % (22721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.68/1.08 % (22721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.68/1.08 % (22721)Termination reason: Unknown
% 5.68/1.08 % (22721)Termination phase: Saturation
% 5.68/1.08
% 5.68/1.08 % (22721)Memory used [KB]: 3454
% 5.68/1.08 % (22721)Time elapsed: 0.471 s
% 5.68/1.08 % (22721)Instructions burned: 212 (million)
% 5.68/1.08 % (22721)------------------------------
% 5.68/1.08 % (22721)------------------------------
% 5.68/1.11 % (22745)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 5.68/1.13 % (22746)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 6.15/1.16 TRYING [4]
% 6.39/1.20 % (22742)Instruction limit reached!
% 6.39/1.20 % (22742)------------------------------
% 6.39/1.20 % (22742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.39/1.20 % (22742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.39/1.20 % (22742)Termination reason: Unknown
% 6.39/1.20 % (22742)Termination phase: Saturation
% 6.39/1.20
% 6.39/1.20 % (22742)Memory used [KB]: 7419
% 6.39/1.20 % (22742)Time elapsed: 0.262 s
% 6.39/1.20 % (22742)Instructions burned: 90 (million)
% 6.39/1.20 % (22742)------------------------------
% 6.39/1.20 % (22742)------------------------------
% 7.06/1.28 % (22747)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 7.06/1.30 % (22719)Instruction limit reached!
% 7.06/1.30 % (22719)------------------------------
% 7.06/1.30 % (22719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.06/1.30 % (22719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.06/1.30 % (22719)Termination reason: Unknown
% 7.06/1.30 % (22719)Termination phase: Saturation
% 7.06/1.30
% 7.06/1.30 % (22719)Memory used [KB]: 10490
% 7.06/1.30 % (22719)Time elapsed: 0.906 s
% 7.06/1.30 % (22719)Instructions burned: 355 (million)
% 7.06/1.30 % (22719)------------------------------
% 7.06/1.30 % (22719)------------------------------
% 7.61/1.34 % (22748)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 7.61/1.34 % (22712)Instruction limit reached!
% 7.61/1.34 % (22712)------------------------------
% 7.61/1.34 % (22712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.61/1.34 % (22712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.61/1.34 % (22712)Termination reason: Unknown
% 7.61/1.34 % (22712)Termination phase: Saturation
% 7.61/1.34
% 7.61/1.34 % (22712)Memory used [KB]: 4093
% 7.61/1.34 % (22712)Time elapsed: 0.896 s
% 7.61/1.34 % (22712)Instructions burned: 498 (million)
% 7.61/1.34 % (22712)------------------------------
% 7.61/1.34 % (22712)------------------------------
% 8.34/1.45 % (22720)Instruction limit reached!
% 8.34/1.45 % (22720)------------------------------
% 8.34/1.45 % (22720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.34/1.45 % (22720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.34/1.45 % (22720)Termination reason: Unknown
% 8.34/1.45 % (22720)Termination phase: Saturation
% 8.34/1.45
% 8.34/1.45 % (22720)Memory used [KB]: 11129
% 8.34/1.45 % (22720)Time elapsed: 0.884 s
% 8.34/1.45 % (22720)Instructions burned: 388 (million)
% 8.34/1.45 % (22720)------------------------------
% 8.34/1.45 % (22720)------------------------------
% 8.34/1.45 % (22718)Instruction limit reached!
% 8.34/1.45 % (22718)------------------------------
% 8.34/1.45 % (22718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.34/1.45 % (22718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.34/1.45 % (22718)Termination reason: Unknown
% 8.34/1.45 % (22718)Termination phase: Saturation
% 8.34/1.45
% 8.34/1.45 % (22718)Memory used [KB]: 10874
% 8.34/1.45 % (22718)Time elapsed: 1.029 s
% 8.34/1.45 % (22718)Instructions burned: 440 (million)
% 8.34/1.45 % (22714)Instruction limit reached!
% 8.34/1.45 % (22714)------------------------------
% 8.34/1.45 % (22714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.34/1.45 % (22718)------------------------------
% 8.34/1.45 % (22718)------------------------------
% 8.34/1.45 % (22714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.34/1.45 % (22714)Termination reason: Unknown
% 8.34/1.45 % (22714)Termination phase: Saturation
% 8.34/1.45
% 8.34/1.45 % (22714)Memory used [KB]: 10874
% 8.34/1.45 % (22714)Time elapsed: 1.049 s
% 8.34/1.45 % (22714)Instructions burned: 482 (million)
% 8.34/1.45 % (22714)------------------------------
% 8.34/1.45 % (22714)------------------------------
% 8.34/1.46 % (22715)Instruction limit reached!
% 8.34/1.46 % (22715)------------------------------
% 8.34/1.46 % (22715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.34/1.46 % (22715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.34/1.46 % (22715)Termination reason: Unknown
% 8.34/1.46 % (22715)Termination phase: Saturation
% 8.34/1.46
% 8.34/1.46 % (22715)Memory used [KB]: 11257
% 8.34/1.46 % (22715)Time elapsed: 1.065 s
% 8.34/1.46 % (22715)Instructions burned: 501 (million)
% 8.34/1.46 % (22715)------------------------------
% 8.34/1.46 % (22715)------------------------------
% 8.63/1.47 % (22750)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 8.63/1.48 % (22749)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9989Mi)
% 8.63/1.51 % (22713)Instruction limit reached!
% 8.63/1.51 % (22713)------------------------------
% 8.63/1.51 % (22713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.63/1.51 % (22713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.63/1.51 % (22713)Termination reason: Unknown
% 8.63/1.51 % (22713)Termination phase: Saturation
% 8.63/1.51
% 8.63/1.51 % (22713)Memory used [KB]: 9594
% 8.63/1.51 % (22713)Time elapsed: 1.0000 s
% 8.63/1.51 % (22713)Instructions burned: 468 (million)
% 8.63/1.51 % (22713)------------------------------
% 8.63/1.51 % (22713)------------------------------
% 9.13/1.59 % (22751)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/90Mi)
% 9.13/1.59 % (22753)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/4958Mi)
% 9.13/1.60 % (22752)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/44001Mi)
% 9.13/1.60 % (22754)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/35256Mi)
% 10.48/1.70 % (22755)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/32293Mi)
% 11.20/1.77 % (22751)Instruction limit reached!
% 11.20/1.77 % (22751)------------------------------
% 11.20/1.77 % (22751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.20/1.77 % (22751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.20/1.77 % (22751)Termination reason: Unknown
% 11.20/1.77 % (22751)Termination phase: Saturation
% 11.20/1.77
% 11.20/1.77 % (22751)Memory used [KB]: 7675
% 11.20/1.77 % (22751)Time elapsed: 0.274 s
% 11.20/1.77 % (22751)Instructions burned: 91 (million)
% 11.20/1.77 % (22751)------------------------------
% 11.20/1.77 % (22751)------------------------------
% 11.78/1.92 % (22756)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/37001Mi)
% 12.39/1.96 % (22726)Instruction limit reached!
% 12.39/1.96 % (22726)------------------------------
% 12.39/1.96 % (22726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.39/1.96 % (22726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.39/1.96 % (22726)Termination reason: Unknown
% 12.39/1.96 % (22726)Termination phase: Saturation
% 12.39/1.96
% 12.39/1.96 % (22726)Memory used [KB]: 4477
% 12.39/1.96 % (22726)Time elapsed: 1.259 s
% 12.39/1.96 % (22726)Instructions burned: 655 (million)
% 12.39/1.96 % (22726)------------------------------
% 12.39/1.96 % (22726)------------------------------
% 14.21/2.17 % (22757)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/10187Mi)
% 15.24/2.29 TRYING [5]
% 15.24/2.30 % (22725)Instruction limit reached!
% 15.24/2.30 % (22725)------------------------------
% 15.24/2.30 % (22725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.24/2.30 % (22725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.24/2.30 % (22725)Termination reason: Unknown
% 15.24/2.30 % (22725)Termination phase: Saturation
% 15.24/2.30
% 15.24/2.30 % (22725)Memory used [KB]: 14583
% 15.24/2.30 % (22725)Time elapsed: 1.607 s
% 15.24/2.30 % (22725)Instructions burned: 747 (million)
% 15.24/2.30 % (22725)------------------------------
% 15.24/2.30 % (22725)------------------------------
% 16.49/2.45 % (22724)Instruction limit reached!
% 16.49/2.45 % (22724)------------------------------
% 16.49/2.45 % (22724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.49/2.45 % (22724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.49/2.45 % (22724)Termination reason: Unknown
% 16.49/2.45 % (22724)Termination phase: Saturation
% 16.49/2.45
% 16.49/2.45 % (22724)Memory used [KB]: 16375
% 16.49/2.45 % (22724)Time elapsed: 1.809 s
% 16.49/2.45 % (22724)Instructions burned: 936 (million)
% 16.49/2.45 % (22724)------------------------------
% 16.49/2.45 % (22724)------------------------------
% 16.49/2.47 % (22758)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/29337Mi)
% 16.49/2.49 % (22723)Instruction limit reached!
% 16.49/2.49 % (22723)------------------------------
% 16.49/2.49 % (22723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.49/2.49 % (22723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.49/2.49 % (22723)Termination reason: Unknown
% 16.49/2.49 % (22723)Termination phase: Saturation
% 16.49/2.49
% 16.49/2.49 % (22723)Memory used [KB]: 16375
% 16.49/2.49 % (22723)Time elapsed: 1.812 s
% 16.49/2.49 % (22723)Instructions burned: 920 (million)
% 16.49/2.49 % (22723)------------------------------
% 16.49/2.49 % (22723)------------------------------
% 17.51/2.59 % (22759)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/10147Mi)
% 17.95/2.69 % (22760)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/38056Mi)
% 17.95/2.70 % (22728)Instruction limit reached!
% 17.95/2.70 % (22728)------------------------------
% 17.95/2.70 % (22728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.95/2.70 % (22728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.95/2.70 % (22728)Termination reason: Unknown
% 17.95/2.70 % (22728)Termination phase: Saturation
% 17.95/2.70
% 17.95/2.70 % (22728)Memory used [KB]: 17526
% 17.95/2.70 % (22728)Time elapsed: 2.027 s
% 17.95/2.70 % (22728)Instructions burned: 941 (million)
% 17.95/2.70 % (22728)------------------------------
% 17.95/2.70 % (22728)------------------------------
% 17.95/2.70 % (22729)Instruction limit reached!
% 17.95/2.70 % (22729)------------------------------
% 17.95/2.70 % (22729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.95/2.70 % (22729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.95/2.70 % (22729)Termination reason: Unknown
% 17.95/2.70 % (22729)Termination phase: Saturation
% 17.95/2.70
% 17.95/2.70 % (22729)Memory used [KB]: 21364
% 17.95/2.70 % (22729)Time elapsed: 2.038 s
% 17.95/2.70 % (22729)Instructions burned: 981 (million)
% 17.95/2.70 % (22729)------------------------------
% 17.95/2.70 % (22729)------------------------------
% 19.01/2.80 TRYING [1]
% 19.01/2.81 TRYING [2]
% 19.01/2.84 % (22762)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/20987Mi)
% 19.72/2.85 % (22761)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/33239Mi)
% 20.05/2.93 TRYING [1]
% 20.05/2.94 TRYING [3]
% 20.53/2.95 TRYING [2]
% 20.53/2.96 TRYING [1]
% 20.53/2.96 TRYING [2]
% 20.98/3.04 TRYING [3]
% 21.37/3.10 TRYING [3]
% 23.89/3.40 TRYING [4]
% 23.89/3.41 TRYING [4]
% 25.28/3.60 % (22738)Instruction limit reached!
% 25.28/3.60 % (22738)------------------------------
% 25.28/3.60 % (22738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.28/3.60 TRYING [4]
% 25.84/3.62 % (22738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.84/3.62 % (22738)Termination reason: Unknown
% 25.84/3.62 % (22738)Termination phase: Saturation
% 25.84/3.62
% 25.84/3.62 % (22738)Memory used [KB]: 8571
% 25.84/3.62 % (22738)Time elapsed: 0.772 s
% 25.84/3.62 % (22738)Instructions burned: 1825 (million)
% 25.84/3.62 % (22738)------------------------------
% 25.84/3.62 % (22738)------------------------------
% 27.07/3.78 % (22763)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/49917Mi)
% 27.78/3.90 TRYING [1]
% 27.78/3.91 TRYING [2]
% 27.78/3.91 % (22731)Instruction limit reached!
% 27.78/3.91 % (22731)------------------------------
% 27.78/3.91 % (22731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.78/3.91 % (22731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.78/3.91 % (22731)Termination reason: Unknown
% 27.78/3.91 % (22731)Termination phase: Saturation
% 27.78/3.91
% 27.78/3.91 % (22731)Memory used [KB]: 9083
% 27.78/3.91 % (22731)Time elapsed: 3.219 s
% 27.78/3.91 % (22731)Instructions burned: 2019 (million)
% 27.78/3.91 % (22731)------------------------------
% 27.78/3.91 % (22731)------------------------------
% 28.61/4.01 TRYING [3]
% 29.37/4.08 % (22764)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/19144Mi)
% 29.37/4.10 % (22743)Instruction limit reached!
% 29.37/4.10 % (22743)------------------------------
% 29.37/4.10 % (22743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.37/4.10 % (22743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.37/4.10 % (22743)Termination reason: Unknown
% 29.37/4.10 % (22743)Termination phase: Saturation
% 29.37/4.10
% 29.37/4.10 % (22743)Memory used [KB]: 8699
% 29.37/4.10 % (22743)Time elapsed: 3.152 s
% 29.37/4.10 % (22743)Instructions burned: 2017 (million)
% 29.37/4.10 % (22743)------------------------------
% 29.37/4.10 % (22743)------------------------------
% 30.11/4.21 % (22748)Instruction limit reached!
% 30.11/4.21 % (22748)------------------------------
% 30.11/4.21 % (22748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.11/4.22 % (22748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.11/4.22 % (22748)Termination reason: Unknown
% 30.11/4.22 % (22748)Termination phase: Saturation
% 30.11/4.22
% 30.11/4.22 % (22748)Memory used [KB]: 8187
% 30.11/4.22 % (22748)Time elapsed: 0.860 s
% 30.11/4.22 % (22748)Instructions burned: 1824 (million)
% 30.11/4.22 % (22748)------------------------------
% 30.11/4.22 % (22748)------------------------------
% 30.66/4.25 % (22765)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=27492:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/27492Mi)
% 31.87/4.42 TRYING [4]
% 31.87/4.42 % (22766)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/6101Mi)
% 32.38/4.45 TRYING [5]
% 34.24/4.70 TRYING [5]
% 38.07/5.19 % (22739)Instruction limit reached!
% 38.07/5.19 % (22739)------------------------------
% 38.07/5.19 % (22739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.07/5.19 % (22739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.07/5.19 % (22739)Termination reason: Unknown
% 38.07/5.19 % (22739)Termination phase: Saturation
% 38.07/5.19
% 38.07/5.19 % (22739)Memory used [KB]: 29935
% 38.07/5.19 % (22739)Time elapsed: 4.394 s
% 38.07/5.19 % (22739)Instructions burned: 2134 (million)
% 38.07/5.19 % (22739)------------------------------
% 38.07/5.19 % (22739)------------------------------
% 39.82/5.38 % (22767)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2951ds/90Mi)
% 40.50/5.51 TRYING [5]
% 41.15/5.54 % (22767)Instruction limit reached!
% 41.15/5.54 % (22767)------------------------------
% 41.15/5.54 % (22767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.15/5.54 % (22767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.15/5.54 % (22767)Termination reason: Unknown
% 41.15/5.54 % (22767)Termination phase: Saturation
% 41.15/5.54
% 41.15/5.54 % (22767)Memory used [KB]: 7291
% 41.15/5.54 % (22767)Time elapsed: 0.299 s
% 41.15/5.54 % (22767)Instructions burned: 90 (million)
% 41.15/5.54 % (22767)------------------------------
% 41.15/5.54 % (22767)------------------------------
% 42.13/5.70 % (22768)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=91600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/91600Mi)
% 42.74/5.76 TRYING [5]
% 42.74/5.77 TRYING [6]
% 48.71/6.51 % (22732)Instruction limit reached!
% 48.71/6.51 % (22732)------------------------------
% 48.71/6.51 % (22732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.71/6.51 % (22732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.71/6.51 % (22732)Termination reason: Unknown
% 48.71/6.51 % (22732)Termination phase: Saturation
% 48.71/6.51
% 48.71/6.51 % (22732)Memory used [KB]: 39402
% 48.71/6.51 % (22732)Time elapsed: 5.819 s
% 48.71/6.51 % (22732)Instructions burned: 3737 (million)
% 48.71/6.51 % (22732)------------------------------
% 48.71/6.51 % (22732)------------------------------
% 50.15/6.69 % (22769)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=7127:si=on:rawr=on:rtra=on_0 on theBenchmark for (2938ds/7127Mi)
% 50.76/6.75 % (22740)Instruction limit reached!
% 50.76/6.75 % (22740)------------------------------
% 50.76/6.75 % (22740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 50.76/6.75 % (22740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 50.76/6.75 % (22740)Termination reason: Unknown
% 50.76/6.75 % (22740)Termination phase: Saturation
% 50.76/6.75
% 50.76/6.75 % (22740)Memory used [KB]: 25330
% 50.76/6.75 % (22740)Time elapsed: 5.805 s
% 50.76/6.75 % (22740)Instructions burned: 2891 (million)
% 50.76/6.75 % (22740)------------------------------
% 50.76/6.75 % (22740)------------------------------
% 52.14/6.93 % (22770)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2935ds/35256Mi)
% 55.67/7.41 TRYING [6]
% 59.37/7.84 % (22733)First to succeed.
% 59.58/7.88 % (22733)Refutation found. Thanks to Tanya!
% 59.58/7.88 % SZS status Theorem for theBenchmark
% 59.58/7.88 % SZS output start Proof for theBenchmark
% See solution above
% 59.58/7.89 % (22733)------------------------------
% 59.58/7.89 % (22733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 59.58/7.89 % (22733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 59.58/7.89 % (22733)Termination reason: Refutation
% 59.58/7.89
% 59.58/7.89 % (22733)Memory used [KB]: 8315
% 59.58/7.89 % (22733)Time elapsed: 7.147 s
% 59.58/7.89 % (22733)Instructions burned: 4828 (million)
% 59.58/7.89 % (22733)------------------------------
% 59.58/7.89 % (22733)------------------------------
% 59.58/7.89 % (22689)Success in time 7.525 s
%------------------------------------------------------------------------------