TSTP Solution File: NUM558+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM558+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 : n015.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 : Thu Aug 31 12:11:23 EDT 2023
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 399 ( 62 equ)
% Maximal formula atoms : 43 ( 8 avg)
% Number of connectives : 488 ( 136 ~; 111 |; 200 &)
% ( 6 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 92 (; 74 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f816,plain,
$false,
inference(avatar_sat_refutation,[],[f447,f479,f813]) ).
fof(f813,plain,
~ spl21_2,
inference(avatar_contradiction_clause,[],[f812]) ).
fof(f812,plain,
( $false
| ~ spl21_2 ),
inference(subsumption_resolution,[],[f809,f446]) ).
fof(f446,plain,
( aElementOf0(xx,xP)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f444,plain,
( spl21_2
<=> aElementOf0(xx,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f809,plain,
~ aElementOf0(xx,xP),
inference(resolution,[],[f804,f304]) ).
fof(f304,plain,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xP)
& aSubsetOf0(xP,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xP)
& aSubsetOf0(xP,xS)
& ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox/tmp/tmp.7A47Sm4qJ9/Vampire---4.8_32701',m__2378) ).
fof(f804,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(xx,X0) ),
inference(resolution,[],[f803,f290]) ).
fof(f290,plain,
! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& aElementOf0(sK6,slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,xS)
& ( ( ~ aElementOf0(sK7(X1),xS)
& aElementOf0(sK7(X1),X1) )
| ~ aSet0(X1) ) ) )
& ( ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ( ~ aElementOf0(sK8(X5),xT)
& aElementOf0(sK8(X5),X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ( ~ aElementOf0(sK9(X8),xS)
& aElementOf0(sK9(X8),X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f181,f185,f184,f183,f182]) ).
fof(f182,plain,
( ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(sK6,slbdtsldtrb0(xS,xk)) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK7(X1),xS)
& aElementOf0(sK7(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X5] :
( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
=> ( ~ aElementOf0(sK8(X5),xT)
& aElementOf0(sK8(X5),X5) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X8] :
( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
=> ( ~ aElementOf0(sK9(X8),xS)
& aElementOf0(sK9(X8),X8) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
& ( ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) )
& ( ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
( slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) )
& ( ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
& ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
| xk != sbrdtbr0(X5)
| ( ~ aSubsetOf0(X5,xT)
& ( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,X5) )
| ~ aSet0(X5) ) ) )
& ( ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5) )
& aSet0(X5) )
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X8)
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X8) )
| ~ aSet0(X8) ) ) )
& ( ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,xS)
| ~ aElementOf0(X10,X8) )
& aSet0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
( ~ ( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xS) )
& aSet0(X0) ) ) )
=> ( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X4] :
( aElementOf0(X4,slbdtsldtrb0(xS,xk))
=> aElementOf0(X4,slbdtsldtrb0(xT,xk)) )
& ! [X5] :
( ( ( xk = sbrdtbr0(X5)
& ( aSubsetOf0(X5,xT)
| ( ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,xT) )
& aSet0(X5) ) ) )
=> aElementOf0(X5,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
=> ( xk = sbrdtbr0(X5)
& aSubsetOf0(X5,xT)
& ! [X7] :
( aElementOf0(X7,X5)
=> aElementOf0(X7,xT) )
& aSet0(X5) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X8] :
( ( ( xk = sbrdtbr0(X8)
& ( aSubsetOf0(X8,xS)
| ( ! [X9] :
( aElementOf0(X9,X8)
=> aElementOf0(X9,xS) )
& aSet0(X8) ) ) )
=> aElementOf0(X8,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
=> ( xk = sbrdtbr0(X8)
& aSubsetOf0(X8,xS)
& ! [X10] :
( aElementOf0(X10,X8)
=> aElementOf0(X10,xS) )
& aSet0(X8) ) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
( ~ ( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> ( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xT)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& aSet0(X0) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox/tmp/tmp.7A47Sm4qJ9/Vampire---4.8_32701',m__2227) ).
fof(f803,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(xx,X0) ),
inference(resolution,[],[f284,f245]) ).
fof(f245,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
~ aElementOf0(xx,xT),
inference(flattening,[],[f73]) ).
fof(f73,negated_conjecture,
~ aElementOf0(xx,xT),
inference(negated_conjecture,[],[f72]) ).
fof(f72,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox/tmp/tmp.7A47Sm4qJ9/Vampire---4.8_32701',m__) ).
fof(f284,plain,
! [X7,X5] :
( aElementOf0(X7,xT)
| ~ aElementOf0(X7,X5)
| ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f479,plain,
spl21_1,
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| spl21_1 ),
inference(subsumption_resolution,[],[f475,f260]) ).
fof(f260,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.7A47Sm4qJ9/Vampire---4.8_32701',m__2202_02) ).
fof(f475,plain,
( ~ aSet0(xS)
| spl21_1 ),
inference(resolution,[],[f474,f248]) ).
fof(f248,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/tmp.7A47Sm4qJ9/Vampire---4.8_32701',m__2256) ).
fof(f474,plain,
( ! [X0] :
( ~ aElementOf0(xx,X0)
| ~ aSet0(X0) )
| spl21_1 ),
inference(resolution,[],[f320,f442]) ).
fof(f442,plain,
( ~ aElement0(xx)
| spl21_1 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f440,plain,
( spl21_1
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f320,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.7A47Sm4qJ9/Vampire---4.8_32701',mEOfElem) ).
fof(f447,plain,
( ~ spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f418,f444,f440]) ).
fof(f418,plain,
( aElementOf0(xx,xP)
| ~ aElement0(xx) ),
inference(equality_resolution,[],[f272]) ).
fof(f272,plain,
! [X0] :
( aElementOf0(X0,xP)
| xx != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox/tmp/tmp.7A47Sm4qJ9/Vampire---4.8_32701',m__2357) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM558+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n015.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri Aug 25 18:10:22 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.7A47Sm4qJ9/Vampire---4.8_32701
% 0.15/0.37 % (346)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (348)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.44 % (351)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.44 % (347)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.44 % (350)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.44 % (352)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.44 % (353)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.44 % (349)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.45 % (350)First to succeed.
% 0.23/0.46 % (350)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Theorem for Vampire---4
% 0.23/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46 % (350)------------------------------
% 0.23/0.46 % (350)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (350)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (350)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (350)Memory used [KB]: 5884
% 0.23/0.46 % (350)Time elapsed: 0.020 s
% 0.23/0.46 % (350)------------------------------
% 0.23/0.46 % (350)------------------------------
% 0.23/0.46 % (346)Success in time 0.08 s
% 0.23/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------