TSTP Solution File: NUM583+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM583+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 : n011.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 18:05:56 EDT 2022
% Result : Theorem 1.69s 0.60s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 12 unt; 0 def)
% Number of atoms : 263 ( 33 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 289 ( 78 ~; 68 |; 115 &)
% ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 56 ( 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1059,plain,
$false,
inference(avatar_sat_refutation,[],[f997,f1026,f1058]) ).
fof(f1058,plain,
~ spl45_15,
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1057,plain,
( $false
| ~ spl45_15 ),
inference(subsumption_resolution,[],[f1055,f469]) ).
fof(f469,plain,
~ aElementOf0(sK25,xS),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(sK25,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(sK25,xS)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( ( ( aElement0(X1)
& ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) ) )
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(X1)
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& ~ aElementOf0(X1,xQ) ) ) )
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f299,f300]) ).
fof(f300,plain,
( ? [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(X0,xS) )
=> ( aElementOf0(sK25,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(sK25,xS) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ? [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(X0,xS) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( ( ( aElement0(X1)
& ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) ) )
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(X1)
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& ~ aElementOf0(X1,xQ) ) ) )
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
inference(rectify,[],[f298]) ).
fof(f298,plain,
( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ? [X2] :
( aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(X2,xS) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( ( ( aElement0(X1)
& ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) ) )
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(X1)
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& ~ aElementOf0(X1,xQ) ) ) )
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
inference(flattening,[],[f297]) ).
fof(f297,plain,
( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ? [X2] :
( aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(X2,xS) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( ( ( aElement0(X1)
& ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) ) )
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(X1)
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& ~ aElementOf0(X1,xQ) ) ) )
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
inference(nnf_transformation,[],[f166]) ).
fof(f166,plain,
( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ? [X2] :
( aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(X2,xS) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( ( aElement0(X1)
& ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) ) )
<=> aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
( ? [X2] :
( aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(X2,xS) )
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( ( aElement0(X1)
& ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) ) )
<=> aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( ( aElement0(X1)
& ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) ) )
<=> aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
=> ( ! [X2] :
( aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X2,xS) )
| aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ) ) ),
inference(rectify,[],[f90]) ).
fof(f90,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( ( aElement0(X0)
& ( aElementOf0(X0,xQ)
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X0 ) )
<=> aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X0,xS) )
| aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ) ) ),
inference(negated_conjecture,[],[f89]) ).
fof(f89,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( ( aElement0(X0)
& ( aElementOf0(X0,xQ)
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X0 ) )
<=> aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X0,xS) )
| aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1055,plain,
( aElementOf0(sK25,xS)
| ~ spl45_15 ),
inference(resolution,[],[f1034,f739]) ).
fof(f739,plain,
! [X0] :
( ~ aElementOf0(X0,sF42)
| aElementOf0(X0,xS) ),
inference(backward_demodulation,[],[f593,f684]) ).
fof(f684,plain,
sdtlpdtrp0(xN,xi) = sF42,
introduced(function_definition,[]) ).
fof(f593,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4037) ).
fof(f1034,plain,
( aElementOf0(sK25,sF42)
| ~ spl45_15 ),
inference(resolution,[],[f996,f925]) ).
fof(f925,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,sF42) ),
inference(resolution,[],[f757,f747]) ).
fof(f747,plain,
! [X2] :
( aElementOf0(X2,sdtmndt0(sF42,sF43))
| ~ aElementOf0(X2,xQ) ),
inference(forward_demodulation,[],[f733,f685]) ).
fof(f685,plain,
szmzizndt0(sF42) = sF43,
introduced(function_definition,[]) ).
fof(f733,plain,
! [X2] :
( aElementOf0(X2,sdtmndt0(sF42,szmzizndt0(sF42)))
| ~ aElementOf0(X2,xQ) ),
inference(backward_demodulation,[],[f577,f684]) ).
fof(f577,plain,
! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X2,xQ) ),
inference(cnf_transformation,[],[f353]) ).
fof(f353,plain,
( xk = sbrdtbr0(xQ)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElement0(X0) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(xQ)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X2,xQ) ) ),
inference(flattening,[],[f352]) ).
fof(f352,plain,
( xk = sbrdtbr0(xQ)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElement0(X0) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(xQ)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X2,xQ) ) ),
inference(nnf_transformation,[],[f178]) ).
fof(f178,plain,
( xk = sbrdtbr0(xQ)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aSet0(xQ)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X2,xQ) ) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
( ! [X2] :
( aElementOf0(X2,xQ)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(xQ)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& xk = sbrdtbr0(xQ) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
( aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aSet0(xQ)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& xk = sbrdtbr0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989_02) ).
fof(f757,plain,
! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sF42,sF43))
| aElementOf0(X0,sF42) ),
inference(forward_demodulation,[],[f756,f685]) ).
fof(f756,plain,
! [X0] :
( aElementOf0(X0,sF42)
| ~ aElementOf0(X0,sdtmndt0(sF42,szmzizndt0(sF42))) ),
inference(forward_demodulation,[],[f737,f684]) ).
fof(f737,plain,
! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElementOf0(X0,sF42) ),
inference(backward_demodulation,[],[f584,f684]) ).
fof(f584,plain,
! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cnf_transformation,[],[f353]) ).
fof(f996,plain,
( aElementOf0(sK25,xQ)
| ~ spl45_15 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f994,plain,
( spl45_15
<=> aElementOf0(sK25,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_15])]) ).
fof(f1026,plain,
~ spl45_14,
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1025,plain,
( $false
| ~ spl45_14 ),
inference(subsumption_resolution,[],[f1014,f469]) ).
fof(f1014,plain,
( aElementOf0(sK25,xS)
| ~ spl45_14 ),
inference(backward_demodulation,[],[f798,f992]) ).
fof(f992,plain,
( sK25 = sF43
| ~ spl45_14 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f990,plain,
( spl45_14
<=> sK25 = sF43 ),
introduced(avatar_definition,[new_symbols(naming,[spl45_14])]) ).
fof(f798,plain,
aElementOf0(sF43,xS),
inference(resolution,[],[f739,f689]) ).
fof(f689,plain,
aElementOf0(sF43,sF42),
inference(definition_folding,[],[f468,f684,f685,f684]) ).
fof(f468,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f301]) ).
fof(f997,plain,
( spl45_14
| spl45_15 ),
inference(avatar_split_clause,[],[f987,f994,f990]) ).
fof(f987,plain,
( aElementOf0(sK25,xQ)
| sK25 = sF43 ),
inference(resolution,[],[f691,f688]) ).
fof(f688,plain,
aElementOf0(sK25,sF44),
inference(definition_folding,[],[f470,f686,f685,f684]) ).
fof(f686,plain,
sdtpldt0(xQ,sF43) = sF44,
introduced(function_definition,[]) ).
fof(f470,plain,
aElementOf0(sK25,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f301]) ).
fof(f691,plain,
! [X1] :
( ~ aElementOf0(X1,sF44)
| sF43 = X1
| aElementOf0(X1,xQ) ),
inference(definition_folding,[],[f466,f686,f685,f684,f685,f684]) ).
fof(f466,plain,
! [X1] :
( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ)
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cnf_transformation,[],[f301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM583+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 07:08:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.53 % (30529)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (30533)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (30548)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)
% 0.21/0.54 % (30533)Instruction limit reached!
% 0.21/0.54 % (30533)------------------------------
% 0.21/0.54 % (30533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (30544)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)
% 0.21/0.54 % (30528)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)
% 0.21/0.54 % (30549)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (30533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (30533)Termination reason: Unknown
% 0.21/0.54 % (30533)Termination phase: Preprocessing 1
% 0.21/0.54
% 0.21/0.54 % (30533)Memory used [KB]: 1023
% 0.21/0.54 % (30533)Time elapsed: 0.003 s
% 0.21/0.54 % (30533)Instructions burned: 2 (million)
% 0.21/0.54 % (30533)------------------------------
% 0.21/0.54 % (30533)------------------------------
% 0.21/0.54 % (30532)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (30541)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)
% 0.21/0.54 % (30532)Instruction limit reached!
% 0.21/0.54 % (30532)------------------------------
% 0.21/0.54 % (30532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (30532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (30532)Termination reason: Unknown
% 0.21/0.54 % (30532)Termination phase: Equality resolution with deletion
% 0.21/0.54
% 0.21/0.54 % (30532)Memory used [KB]: 1279
% 0.21/0.54 % (30532)Time elapsed: 0.006 s
% 0.21/0.54 % (30532)Instructions burned: 9 (million)
% 0.21/0.54 % (30532)------------------------------
% 0.21/0.54 % (30532)------------------------------
% 0.21/0.55 % (30540)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)
% 0.21/0.55 % (30536)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)
% 0.21/0.55 % (30530)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)
% 0.21/0.55 % (30542)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (30527)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)
% 0.21/0.56 % (30525)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)
% 0.21/0.56 % (30552)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)
% 0.21/0.56 % (30543)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56 % (30526)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)
% 0.21/0.56 % (30550)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.56 % (30551)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)
% 0.21/0.57 % (30538)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.57 % (30534)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)
% 0.21/0.57 % (30546)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.57 % (30553)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.57 % (30545)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)
% 0.21/0.58 % (30537)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.58 % (30547)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)
% 1.69/0.58 % (30554)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)
% 1.69/0.58 % (30531)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)
% 1.69/0.58 % (30535)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.69/0.59 % (30539)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)
% 1.69/0.60 % (30549)First to succeed.
% 1.69/0.60 % (30549)Refutation found. Thanks to Tanya!
% 1.69/0.60 % SZS status Theorem for theBenchmark
% 1.69/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.60 % (30549)------------------------------
% 1.69/0.60 % (30549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (30549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (30549)Termination reason: Refutation
% 1.69/0.60
% 1.69/0.60 % (30549)Memory used [KB]: 6140
% 1.69/0.60 % (30549)Time elapsed: 0.161 s
% 1.69/0.60 % (30549)Instructions burned: 31 (million)
% 1.69/0.60 % (30549)------------------------------
% 1.69/0.60 % (30549)------------------------------
% 1.69/0.60 % (30524)Success in time 0.239 s
%------------------------------------------------------------------------------