TSTP Solution File: NUM583+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM583+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:13:14 EDT 2024
% Result : Theorem 0.71s 0.76s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 13 unt; 0 def)
% Number of atoms : 329 ( 49 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 360 ( 93 ~; 90 |; 144 &)
% ( 13 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 70 ( 64 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f877,plain,
$false,
inference(avatar_sat_refutation,[],[f843,f852,f876]) ).
fof(f876,plain,
~ spl39_13,
inference(avatar_contradiction_clause,[],[f875]) ).
fof(f875,plain,
( $false
| ~ spl39_13 ),
inference(subsumption_resolution,[],[f869,f424]) ).
fof(f424,plain,
~ aElementOf0(sK22,xS),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
& ~ aElementOf0(sK22,xS)
& aElementOf0(sK22,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& ~ aElementOf0(X1,xQ) )
| ~ aElement0(X1) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) )
& aElement0(X1) )
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f259,f260]) ).
fof(f260,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( ~ aElementOf0(sK22,xS)
& aElementOf0(sK22,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ! [X1] :
( ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& ~ aElementOf0(X1,xQ) )
| ~ aElement0(X1) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) )
& aElement0(X1) )
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(rectify,[],[f258]) ).
fof(f258,plain,
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ! [X1] :
( ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& ~ aElementOf0(X1,xQ) )
| ~ aElement0(X1) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) )
& aElement0(X1) )
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(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(flattening,[],[f257]) ).
fof(f257,plain,
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ! [X1] :
( ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& ~ aElementOf0(X1,xQ) )
| ~ aElement0(X1) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) )
& aElement0(X1) )
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(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(nnf_transformation,[],[f121]) ).
fof(f121,plain,
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) )
& aElement0(X1) ) )
& aSet0(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(flattening,[],[f120]) ).
fof(f120,plain,
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) )
& aElement0(X1) ) )
& aSet0(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)) )
=> ( ( ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| aElementOf0(X1,xQ) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
| ! [X2] :
( aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X2,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)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
| ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X0,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)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
| ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X0,xS) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ESo8JBa7dZ/Vampire---4.8_20248',m__) ).
fof(f869,plain,
( aElementOf0(sK22,xS)
| ~ spl39_13 ),
inference(superposition,[],[f661,f842]) ).
fof(f842,plain,
( sK22 = sF37
| ~ spl39_13 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f840,plain,
( spl39_13
<=> sK22 = sF37 ),
introduced(avatar_definition,[new_symbols(naming,[spl39_13])]) ).
fof(f661,plain,
aElementOf0(sF37,xS),
inference(resolution,[],[f633,f595]) ).
fof(f595,plain,
aElementOf0(sF37,sF36),
inference(forward_demodulation,[],[f594,f560]) ).
fof(f560,plain,
szmzizndt0(sF36) = sF37,
introduced(function_definition,[new_symbols(definition,[sF37])]) ).
fof(f594,plain,
aElementOf0(szmzizndt0(sF36),sF36),
inference(forward_demodulation,[],[f394,f559]) ).
fof(f559,plain,
sdtlpdtrp0(xN,xi) = sF36,
introduced(function_definition,[new_symbols(definition,[sF36])]) ).
fof(f394,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(flattening,[],[f253]) ).
fof(f253,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox2/tmp/tmp.ESo8JBa7dZ/Vampire---4.8_20248',m__3989_02) ).
fof(f633,plain,
! [X0] :
( ~ aElementOf0(X0,sF36)
| aElementOf0(X0,xS) ),
inference(forward_demodulation,[],[f414,f559]) ).
fof(f414,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,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/tmp/tmp.ESo8JBa7dZ/Vampire---4.8_20248',m__4037) ).
fof(f852,plain,
~ spl39_12,
inference(avatar_contradiction_clause,[],[f851]) ).
fof(f851,plain,
( $false
| ~ spl39_12 ),
inference(subsumption_resolution,[],[f848,f424]) ).
fof(f848,plain,
( aElementOf0(sK22,xS)
| ~ spl39_12 ),
inference(resolution,[],[f845,f633]) ).
fof(f845,plain,
( aElementOf0(sK22,sF36)
| ~ spl39_12 ),
inference(resolution,[],[f838,f786]) ).
fof(f786,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,sF36) ),
inference(resolution,[],[f586,f576]) ).
fof(f576,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(sF36,sF37))
| ~ aElementOf0(X0,xQ) ),
inference(forward_demodulation,[],[f575,f560]) ).
fof(f575,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(sF36,szmzizndt0(sF36)))
| ~ aElementOf0(X0,xQ) ),
inference(forward_demodulation,[],[f402,f559]) ).
fof(f402,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f254]) ).
fof(f586,plain,
! [X1] :
( ~ aElementOf0(X1,sdtmndt0(sF36,sF37))
| aElementOf0(X1,sF36) ),
inference(forward_demodulation,[],[f585,f560]) ).
fof(f585,plain,
! [X1] :
( ~ aElementOf0(X1,sdtmndt0(sF36,szmzizndt0(sF36)))
| aElementOf0(X1,sF36) ),
inference(forward_demodulation,[],[f584,f559]) ).
fof(f584,plain,
! [X1] :
( aElementOf0(X1,sF36)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(forward_demodulation,[],[f398,f559]) ).
fof(f398,plain,
! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cnf_transformation,[],[f254]) ).
fof(f838,plain,
( aElementOf0(sK22,xQ)
| ~ spl39_12 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f836,plain,
( spl39_12
<=> aElementOf0(sK22,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_12])]) ).
fof(f843,plain,
( spl39_12
| spl39_13 ),
inference(avatar_split_clause,[],[f833,f840,f836]) ).
fof(f833,plain,
( sK22 = sF37
| aElementOf0(sK22,xQ) ),
inference(resolution,[],[f620,f563]) ).
fof(f563,plain,
aElementOf0(sK22,sF38),
inference(definition_folding,[],[f423,f561,f560,f559]) ).
fof(f561,plain,
sdtpldt0(xQ,sF37) = sF38,
introduced(function_definition,[new_symbols(definition,[sF38])]) ).
fof(f423,plain,
aElementOf0(sK22,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f261]) ).
fof(f620,plain,
! [X0] :
( ~ aElementOf0(X0,sF38)
| sF37 = X0
| aElementOf0(X0,xQ) ),
inference(forward_demodulation,[],[f619,f561]) ).
fof(f619,plain,
! [X0] :
( ~ aElementOf0(X0,sdtpldt0(xQ,sF37))
| sF37 = X0
| aElementOf0(X0,xQ) ),
inference(forward_demodulation,[],[f618,f560]) ).
fof(f618,plain,
! [X0] :
( ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sF36)))
| sF37 = X0
| aElementOf0(X0,xQ) ),
inference(forward_demodulation,[],[f617,f559]) ).
fof(f617,plain,
! [X0] :
( sF37 = X0
| aElementOf0(X0,xQ)
| ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(forward_demodulation,[],[f616,f560]) ).
fof(f616,plain,
! [X0] :
( szmzizndt0(sF36) = X0
| aElementOf0(X0,xQ)
| ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(forward_demodulation,[],[f410,f559]) ).
fof(f410,plain,
! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ)
| ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& ~ aElementOf0(X0,xQ) )
| ~ aElement0(X0) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(flattening,[],[f255]) ).
fof(f255,plain,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& ~ aElementOf0(X0,xQ) )
| ~ aElement0(X0) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| aElementOf0(X0,xQ) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox2/tmp/tmp.ESo8JBa7dZ/Vampire---4.8_20248',m__4007) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM583+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:44:16 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.ESo8JBa7dZ/Vampire---4.8_20248
% 0.53/0.72 % (20361)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.53/0.72 % (20360)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.53/0.72 % (20359)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.72 % (20362)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.53/0.72 % (20358)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.53/0.72 % (20364)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.53/0.72 % (20363)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.53/0.72 % (20357)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.53/0.73 % (20361)Instruction limit reached!
% 0.53/0.73 % (20361)------------------------------
% 0.53/0.73 % (20361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73 % (20361)Termination reason: Unknown
% 0.53/0.73 % (20361)Termination phase: Saturation
% 0.53/0.73
% 0.53/0.73 % (20361)Memory used [KB]: 1821
% 0.53/0.73 % (20361)Time elapsed: 0.012 s
% 0.53/0.73 % (20361)Instructions burned: 35 (million)
% 0.53/0.73 % (20361)------------------------------
% 0.53/0.73 % (20361)------------------------------
% 0.53/0.74 % (20365)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.53/0.74 % (20360)Instruction limit reached!
% 0.53/0.74 % (20360)------------------------------
% 0.53/0.74 % (20360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (20360)Termination reason: Unknown
% 0.53/0.74 % (20360)Termination phase: Saturation
% 0.53/0.74
% 0.53/0.74 % (20360)Memory used [KB]: 1764
% 0.53/0.74 % (20360)Time elapsed: 0.018 s
% 0.53/0.74 % (20360)Instructions burned: 34 (million)
% 0.53/0.74 % (20360)------------------------------
% 0.53/0.74 % (20360)------------------------------
% 0.53/0.74 % (20357)Instruction limit reached!
% 0.53/0.74 % (20357)------------------------------
% 0.53/0.74 % (20357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (20357)Termination reason: Unknown
% 0.53/0.74 % (20357)Termination phase: Saturation
% 0.53/0.74
% 0.53/0.74 % (20357)Memory used [KB]: 1648
% 0.53/0.74 % (20357)Time elapsed: 0.020 s
% 0.53/0.74 % (20357)Instructions burned: 34 (million)
% 0.53/0.74 % (20357)------------------------------
% 0.53/0.74 % (20357)------------------------------
% 0.53/0.75 % (20366)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.53/0.75 % (20362)Instruction limit reached!
% 0.53/0.75 % (20362)------------------------------
% 0.53/0.75 % (20362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (20362)Termination reason: Unknown
% 0.53/0.75 % (20362)Termination phase: Saturation
% 0.53/0.75 % (20367)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.53/0.75
% 0.53/0.75 % (20362)Memory used [KB]: 1852
% 0.53/0.75 % (20362)Time elapsed: 0.025 s
% 0.53/0.75 % (20362)Instructions burned: 45 (million)
% 0.53/0.75 % (20362)------------------------------
% 0.53/0.75 % (20362)------------------------------
% 0.53/0.75 % (20365)Instruction limit reached!
% 0.53/0.75 % (20365)------------------------------
% 0.53/0.75 % (20365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (20365)Termination reason: Unknown
% 0.53/0.75 % (20365)Termination phase: Property scanning
% 0.53/0.75
% 0.53/0.75 % (20365)Memory used [KB]: 2221
% 0.53/0.75 % (20365)Time elapsed: 0.013 s
% 0.53/0.75 % (20365)Instructions burned: 58 (million)
% 0.53/0.75 % (20365)------------------------------
% 0.53/0.75 % (20365)------------------------------
% 0.53/0.75 % (20358)Instruction limit reached!
% 0.53/0.75 % (20358)------------------------------
% 0.53/0.75 % (20358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (20358)Termination reason: Unknown
% 0.53/0.75 % (20358)Termination phase: Saturation
% 0.53/0.75
% 0.53/0.75 % (20358)Memory used [KB]: 2006
% 0.53/0.75 % (20358)Time elapsed: 0.029 s
% 0.53/0.75 % (20358)Instructions burned: 51 (million)
% 0.53/0.75 % (20358)------------------------------
% 0.53/0.75 % (20358)------------------------------
% 0.53/0.75 % (20368)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.53/0.75 % (20369)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.68/0.75 % (20364)Instruction limit reached!
% 0.68/0.75 % (20364)------------------------------
% 0.68/0.75 % (20364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.75 % (20364)Termination reason: Unknown
% 0.68/0.75 % (20364)Termination phase: Saturation
% 0.68/0.75
% 0.68/0.75 % (20364)Memory used [KB]: 1889
% 0.68/0.75 % (20364)Time elapsed: 0.031 s
% 0.68/0.75 % (20364)Instructions burned: 57 (million)
% 0.68/0.75 % (20364)------------------------------
% 0.68/0.75 % (20364)------------------------------
% 0.68/0.76 % (20370)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.68/0.76 % (20371)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.68/0.76 % (20367)First to succeed.
% 0.71/0.76 % (20367)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20356"
% 0.71/0.76 % (20367)Refutation found. Thanks to Tanya!
% 0.71/0.76 % SZS status Theorem for Vampire---4
% 0.71/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.77 % (20367)------------------------------
% 0.71/0.77 % (20367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.77 % (20367)Termination reason: Refutation
% 0.71/0.77
% 0.71/0.77 % (20367)Memory used [KB]: 1461
% 0.71/0.77 % (20367)Time elapsed: 0.018 s
% 0.71/0.77 % (20367)Instructions burned: 29 (million)
% 0.71/0.77 % (20356)Success in time 0.398 s
% 0.71/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------