TSTP Solution File: NUM604+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM604+1 : 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 : n029.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 12:13:08 EDT 2023
% Result : Theorem 0.24s 0.51s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 93 ( 18 unt; 0 def)
% Number of atoms : 319 ( 43 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 378 ( 152 ~; 145 |; 57 &)
% ( 12 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 106 (; 93 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3236,plain,
$false,
inference(avatar_sat_refutation,[],[f598,f614,f2937,f3023,f3210,f3235]) ).
fof(f3235,plain,
~ spl25_124,
inference(avatar_contradiction_clause,[],[f3234]) ).
fof(f3234,plain,
( $false
| ~ spl25_124 ),
inference(subsumption_resolution,[],[f3233,f535]) ).
fof(f535,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f458]) ).
fof(f458,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK18(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f286,f287]) ).
fof(f287,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK18(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f286,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f284]) ).
fof(f284,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',mDefEmp) ).
fof(f3233,plain,
( ~ aSet0(slcrc0)
| ~ spl25_124 ),
inference(subsumption_resolution,[],[f3230,f377]) ).
fof(f377,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',mEmpFin) ).
fof(f3230,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0)
| ~ spl25_124 ),
inference(resolution,[],[f3015,f445]) ).
fof(f445,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',mCountNFin) ).
fof(f3015,plain,
( isCountable0(slcrc0)
| ~ spl25_124 ),
inference(avatar_component_clause,[],[f3014]) ).
fof(f3014,plain,
( spl25_124
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_124])]) ).
fof(f3210,plain,
~ spl25_121,
inference(avatar_contradiction_clause,[],[f3209]) ).
fof(f3209,plain,
( $false
| ~ spl25_121 ),
inference(subsumption_resolution,[],[f3208,f317]) ).
fof(f317,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
~ aElementOf0(xx,xS),
inference(flattening,[],[f102]) ).
fof(f102,negated_conjecture,
~ aElementOf0(xx,xS),
inference(negated_conjecture,[],[f101]) ).
fof(f101,conjecture,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',m__) ).
fof(f3208,plain,
( aElementOf0(xx,xS)
| ~ spl25_121 ),
inference(forward_demodulation,[],[f3207,f352]) ).
fof(f352,plain,
xx = sdtlpdtrp0(xe,xi),
inference(cnf_transformation,[],[f99]) ).
fof(f99,axiom,
( xx = sdtlpdtrp0(xe,xi)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',m__5034) ).
fof(f3207,plain,
( aElementOf0(sdtlpdtrp0(xe,xi),xS)
| ~ spl25_121 ),
inference(subsumption_resolution,[],[f3203,f351]) ).
fof(f351,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f99]) ).
fof(f3203,plain,
( aElementOf0(sdtlpdtrp0(xe,xi),xS)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl25_121 ),
inference(superposition,[],[f2936,f335]) ).
fof(f335,plain,
! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',m__4660) ).
fof(f2936,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS)
| ~ spl25_121 ),
inference(avatar_component_clause,[],[f2934]) ).
fof(f2934,plain,
( spl25_121
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_121])]) ).
fof(f3023,plain,
( spl25_124
| ~ spl25_120 ),
inference(avatar_split_clause,[],[f3022,f2930,f3014]) ).
fof(f2930,plain,
( spl25_120
<=> slcrc0 = sdtlpdtrp0(xN,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_120])]) ).
fof(f3022,plain,
( isCountable0(slcrc0)
| ~ spl25_120 ),
inference(subsumption_resolution,[],[f2985,f351]) ).
fof(f2985,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl25_120 ),
inference(superposition,[],[f362,f2932]) ).
fof(f2932,plain,
( slcrc0 = sdtlpdtrp0(xN,xi)
| ~ spl25_120 ),
inference(avatar_component_clause,[],[f2930]) ).
fof(f362,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',m__3671) ).
fof(f2937,plain,
( spl25_120
| spl25_121
| ~ spl25_1
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f2928,f612,f566,f2934,f2930]) ).
fof(f566,plain,
( spl25_1
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f612,plain,
( spl25_6
<=> ! [X0] :
( aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
fof(f2928,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS)
| slcrc0 = sdtlpdtrp0(xN,xi)
| ~ spl25_1
| ~ spl25_6 ),
inference(subsumption_resolution,[],[f2916,f2304]) ).
fof(f2304,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ spl25_6 ),
inference(resolution,[],[f613,f322]) ).
fof(f322,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',m__5045) ).
fof(f613,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,xS)
| aSubsetOf0(X0,szNzAzT0) )
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f2916,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS)
| slcrc0 = sdtlpdtrp0(xN,xi)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ spl25_1 ),
inference(resolution,[],[f945,f533]) ).
fof(f533,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f454]) ).
fof(f454,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK17(X0,X1))
& aElementOf0(sK17(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f281,f282]) ).
fof(f282,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK17(X0,X1))
& aElementOf0(sK17(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',mDefMin) ).
fof(f945,plain,
( ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| aElementOf0(X1,xS) )
| ~ spl25_1 ),
inference(subsumption_resolution,[],[f922,f567]) ).
fof(f567,plain,
( aSet0(xS)
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f922,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| aElementOf0(X1,xS)
| ~ aSet0(xS) ),
inference(resolution,[],[f322,f397]) ).
fof(f397,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK6(X0,X1),X0)
& aElementOf0(sK6(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f248,f249]) ).
fof(f249,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK6(X0,X1),X0)
& aElementOf0(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f247]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f246]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f153]) ).
fof(f153,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.U0pniaA5s5/Vampire---4.8_16825',mDefSub) ).
fof(f614,plain,
( ~ spl25_1
| spl25_6 ),
inference(avatar_split_clause,[],[f610,f612,f566]) ).
fof(f610,plain,
! [X0] :
( aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X0,xS)
| ~ aSet0(xS) ),
inference(subsumption_resolution,[],[f609,f396]) ).
fof(f396,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f609,plain,
! [X0] :
( aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X0,xS)
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f582,f380]) ).
fof(f380,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',mNATSet) ).
fof(f582,plain,
! [X0] :
( aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X0,xS)
| ~ aSet0(szNzAzT0)
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(resolution,[],[f349,f512]) ).
fof(f512,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',mSubTrans) ).
fof(f349,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825',m__3435) ).
fof(f598,plain,
spl25_1,
inference(avatar_split_clause,[],[f597,f566]) ).
fof(f597,plain,
aSet0(xS),
inference(subsumption_resolution,[],[f585,f380]) ).
fof(f585,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f349,f396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM604+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.38 % Computer : n029.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Fri Aug 25 15:52:39 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.U0pniaA5s5/Vampire---4.8_16825
% 0.16/0.38 % (16944)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (16948)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.24/0.45 % (16946)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)
% 0.24/0.45 % (16950)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.24/0.45 % (16949)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)
% 0.24/0.45 % (16952)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)
% 0.24/0.45 % (16951)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)
% 0.24/0.45 % (16953)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.24/0.51 % (16953)First to succeed.
% 0.24/0.51 % (16953)Refutation found. Thanks to Tanya!
% 0.24/0.51 % SZS status Theorem for Vampire---4
% 0.24/0.51 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.51 % (16953)------------------------------
% 0.24/0.51 % (16953)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.51 % (16953)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.51 % (16953)Termination reason: Refutation
% 0.24/0.51
% 0.24/0.51 % (16953)Memory used [KB]: 7547
% 0.24/0.51 % (16953)Time elapsed: 0.064 s
% 0.24/0.51 % (16953)------------------------------
% 0.24/0.51 % (16953)------------------------------
% 0.24/0.51 % (16944)Success in time 0.128 s
% 0.24/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------