TSTP Solution File: NUM629+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM629+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n022.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 : Fri Sep 1 20:21:39 EDT 2023
% Result : Theorem 29.18s 4.59s
% Output : Refutation 29.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 65 ( 16 unt; 0 def)
% Number of atoms : 343 ( 30 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 386 ( 108 ~; 89 |; 155 &)
% ( 13 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 105 (; 96 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f283872,plain,
$false,
inference(subsumption_resolution,[],[f283871,f49322]) ).
fof(f49322,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD),
inference(unit_resulting_resolution,[],[f1343,f48780,f1164]) ).
fof(f1164,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| sP79(X0,X1)
| ~ sP80(X0) ),
inference(cnf_transformation,[],[f661]) ).
fof(f661,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ sP79(X0,X1) )
& ( sP79(X0,X1)
| ~ aSubsetOf0(X1,X0) ) )
| ~ sP80(X0) ),
inference(nnf_transformation,[],[f377]) ).
fof(f377,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> sP79(X0,X1) )
| ~ sP80(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f48780,plain,
~ sP79(xD,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(unit_resulting_resolution,[],[f756,f29922,f1167]) ).
fof(f1167,plain,
! [X3,X0,X1] :
( ~ sP79(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ),
inference(cnf_transformation,[],[f666]) ).
fof(f666,plain,
! [X0,X1] :
( ( sP79(X0,X1)
| ( ~ aElementOf0(sK143(X0,X1),X0)
& aElementOf0(sK143(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ sP79(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK143])],[f664,f665]) ).
fof(f665,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK143(X0,X1),X0)
& aElementOf0(sK143(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f664,plain,
! [X0,X1] :
( ( sP79(X0,X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ sP79(X0,X1) ) ),
inference(rectify,[],[f663]) ).
fof(f663,plain,
! [X0,X1] :
( ( sP79(X0,X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ sP79(X0,X1) ) ),
inference(flattening,[],[f662]) ).
fof(f662,plain,
! [X0,X1] :
( ( sP79(X0,X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ sP79(X0,X1) ) ),
inference(nnf_transformation,[],[f376]) ).
fof(f376,plain,
! [X0,X1] :
( sP79(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f29922,plain,
aElementOf0(sK108,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(unit_resulting_resolution,[],[f755,f925]) ).
fof(f925,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,axiom,
( aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) ),
file('/export/starexec/sandbox/tmp/tmp.k9ppb9alA8/Vampire---4.8_4500',m__5334) ).
fof(f755,plain,
aElementOf0(sK108,xP),
inference(cnf_transformation,[],[f416]) ).
fof(f416,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xD,xk))
& ~ aSubsetOf0(xP,xD)
& ~ aElementOf0(sK108,xD)
& aElementOf0(sK108,xP) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK108])],[f140,f415]) ).
fof(f415,plain,
( ? [X0] :
( ~ aElementOf0(X0,xD)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK108,xD)
& aElementOf0(sK108,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xD,xk))
& ~ aSubsetOf0(xP,xD)
& ? [X0] :
( ~ aElementOf0(X0,xD)
& aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,negated_conjecture,
~ ( aElementOf0(xP,slbdtsldtrb0(xD,xk))
| aSubsetOf0(xP,xD)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xD) ) ),
inference(negated_conjecture,[],[f115]) ).
fof(f115,conjecture,
( aElementOf0(xP,slbdtsldtrb0(xD,xk))
| aSubsetOf0(xP,xD)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xD) ) ),
file('/export/starexec/sandbox/tmp/tmp.k9ppb9alA8/Vampire---4.8_4500',m__) ).
fof(f756,plain,
~ aElementOf0(sK108,xD),
inference(cnf_transformation,[],[f416]) ).
fof(f1343,plain,
sP80(xD),
inference(unit_resulting_resolution,[],[f940,f1170]) ).
fof(f1170,plain,
! [X0] :
( ~ aSet0(X0)
| sP80(X0) ),
inference(cnf_transformation,[],[f378]) ).
fof(f378,plain,
! [X0] :
( sP80(X0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f208,f377,f376]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.k9ppb9alA8/Vampire---4.8_4500',mDefSub) ).
fof(f940,plain,
aSet0(xD),
inference(cnf_transformation,[],[f495]) ).
fof(f495,plain,
( xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))
& ! [X0] :
( ( aElementOf0(X0,xD)
| szmzizndt0(sdtlpdtrp0(xN,xn)) = X0
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
| ~ aElement0(X0) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xn)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xn))
& aElement0(X0) )
| ~ aElementOf0(X0,xD) ) )
& aSet0(xD)
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) ) ),
inference(flattening,[],[f494]) ).
fof(f494,plain,
( xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))
& ! [X0] :
( ( aElementOf0(X0,xD)
| szmzizndt0(sdtlpdtrp0(xN,xn)) = X0
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
| ~ aElement0(X0) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xn)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xn))
& aElement0(X0) )
| ~ aElementOf0(X0,xD) ) )
& aSet0(xD)
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) ) ),
inference(nnf_transformation,[],[f163]) ).
fof(f163,plain,
( xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))
& ! [X0] :
( aElementOf0(X0,xD)
<=> ( szmzizndt0(sdtlpdtrp0(xN,xn)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xn))
& aElement0(X0) ) )
& aSet0(xD)
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) ) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
( xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))
& ! [X0] :
( aElementOf0(X0,xD)
<=> ( szmzizndt0(sdtlpdtrp0(xN,xn)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xn))
& aElement0(X0) ) )
& aSet0(xD)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) ) ),
inference(rectify,[],[f114]) ).
fof(f114,axiom,
( xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))
& ! [X0] :
( aElementOf0(X0,xD)
<=> ( szmzizndt0(sdtlpdtrp0(xN,xn)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xn))
& aElement0(X0) ) )
& aSet0(xD)
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.k9ppb9alA8/Vampire---4.8_4500',m__5585) ).
fof(f283871,plain,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD),
inference(forward_demodulation,[],[f283819,f945]) ).
fof(f945,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(cnf_transformation,[],[f495]) ).
fof(f283819,plain,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
inference(unit_resulting_resolution,[],[f251656,f856]) ).
fof(f856,plain,
! [X0] :
( ~ sP23(X0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f470]) ).
fof(f470,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP22(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP23(X0) ),
inference(rectify,[],[f469]) ).
fof(f469,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP22(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP23(X0) ),
inference(nnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP22(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP23(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f251656,plain,
sP23(xn),
inference(unit_resulting_resolution,[],[f908,f1748,f2276,f870]) ).
fof(f870,plain,
! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| sP23(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
( ! [X0] :
( sP23(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& sP20(X0) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(definition_folding,[],[f149,f307,f306,f305,f304]) ).
fof(f304,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ sP20(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f305,plain,
! [X3,X0] :
( sP21(X3,X0)
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f306,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> sP21(X3,X0) )
| ~ sP22(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f149,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox/tmp/tmp.k9ppb9alA8/Vampire---4.8_4500',m__3623) ).
fof(f2276,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0),
inference(unit_resulting_resolution,[],[f1393,f948]) ).
fof(f948,plain,
! [X0] :
( ~ sP24(X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f496]) ).
fof(f496,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtlpdtrp0(xN,X0)) )
| ~ sP24(X0) ),
inference(nnf_transformation,[],[f309]) ).
fof(f309,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtlpdtrp0(xN,X0)) )
| ~ sP24(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f1393,plain,
sP24(xn),
inference(unit_resulting_resolution,[],[f908,f950]) ).
fof(f950,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP24(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0] :
( sP24(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f164,f309]) ).
fof(f164,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.k9ppb9alA8/Vampire---4.8_4500',m__3671) ).
fof(f1748,plain,
isCountable0(sdtlpdtrp0(xN,xn)),
inference(unit_resulting_resolution,[],[f1393,f949]) ).
fof(f949,plain,
! [X0] :
( ~ sP24(X0)
| isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f496]) ).
fof(f908,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f111,axiom,
( xp = sdtlpdtrp0(xe,xn)
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,xn)
& aElementOf0(xn,szDzozmdt0(xd)) ),
file('/export/starexec/sandbox/tmp/tmp.k9ppb9alA8/Vampire---4.8_4500',m__5309) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : NUM629+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n022.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 30 14:59:23 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.42 % (4734)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (4743)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.23/0.43 % (4737)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.43 % (4738)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.43 % (4740)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.43 % (4739)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.43 % (4741)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.23/0.43 % (4742)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.23/0.49 TRYING [1]
% 0.23/0.50 TRYING [2]
% 1.19/0.58 TRYING [3]
% 3.15/0.86 TRYING [4]
% 8.53/1.64 TRYING [5]
% 16.00/2.78 TRYING [1]
% 17.57/2.99 TRYING [1]
% 18.11/3.06 TRYING [2]
% 19.01/3.19 TRYING [2]
% 20.18/3.35 TRYING [6]
% 29.18/4.58 % (4743)First to succeed.
% 29.18/4.59 % (4743)Refutation found. Thanks to Tanya!
% 29.18/4.59 % SZS status Theorem for Vampire---4
% 29.18/4.59 % SZS output start Proof for Vampire---4
% See solution above
% 29.18/4.59 % (4743)------------------------------
% 29.18/4.59 % (4743)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 29.18/4.59 % (4743)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 29.18/4.59 % (4743)Termination reason: Refutation
% 29.18/4.59
% 29.18/4.59 % (4743)Memory used [KB]: 156202
% 29.18/4.59 % (4743)Time elapsed: 4.152 s
% 29.18/4.59 % (4743)------------------------------
% 29.18/4.59 % (4743)------------------------------
% 29.18/4.59 % (4734)Success in time 4.214 s
% 29.18/4.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------