TSTP Solution File: NUM535+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM535+1 : 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 : n014.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 08:12:51 EDT 2024
% Result : Theorem 0.85s 0.83s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 106 ( 7 unt; 0 def)
% Number of atoms : 379 ( 35 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 477 ( 204 ~; 225 |; 21 &)
% ( 21 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f809,plain,
$false,
inference(avatar_sat_refutation,[],[f117,f162,f179,f182,f241,f249,f355,f808]) ).
fof(f808,plain,
( spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f807,plain,
( $false
| spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f806,f169]) ).
fof(f169,plain,
( aSet0(sdtmndt0(xS,xx))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl4_5
<=> aSet0(sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f806,plain,
( ~ aSet0(sdtmndt0(xS,xx))
| spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f804,f119]) ).
fof(f119,plain,
aElement0(xx),
inference(subsumption_resolution,[],[f118,f79]) ).
fof(f79,plain,
aSet0(xS),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox2/tmp/tmp.Srh4SWuSsz/Vampire---4.8_22849',m__617) ).
fof(f118,plain,
( ~ aSet0(xS)
| aElement0(xx) ),
inference(resolution,[],[f46,f80]) ).
fof(f80,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/tmp.Srh4SWuSsz/Vampire---4.8_22849',m__617_02) ).
fof(f46,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,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/sandbox2/tmp/tmp.Srh4SWuSsz/Vampire---4.8_22849',mEOfElem) ).
fof(f804,plain,
( ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xS,xx))
| spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(resolution,[],[f779,f97]) ).
fof(f97,plain,
! [X3,X0] :
( aElementOf0(X3,sdtpldt0(X0,X3))
| ~ aElement0(X3)
| ~ aSet0(X0) ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f89,plain,
! [X3,X0] :
( ~ aSet0(X0)
| ~ aElement0(X3)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(X0,X3)) ),
inference(equality_resolution,[],[f88]) ).
fof(f88,plain,
! [X2,X3,X0] :
( ~ aSet0(X0)
| ~ aElement0(X3)
| ~ aElement0(X3)
| aElementOf0(X3,X2)
| sdtpldt0(X0,X3) != X2 ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| X1 != X3
| aElementOf0(X3,X2)
| sdtpldt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Srh4SWuSsz/Vampire---4.8_22849',mDefCons) ).
fof(f779,plain,
( ~ aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(superposition,[],[f298,f778]) ).
fof(f778,plain,
( xx = sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f777,f79]) ).
fof(f777,plain,
( xx = sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(xS)
| spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f776,f301]) ).
fof(f301,plain,
( aElementOf0(sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| spl4_2
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f300,f160]) ).
fof(f160,plain,
( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl4_4
<=> aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f300,plain,
( aElementOf0(sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl4_2 ),
inference(subsumption_resolution,[],[f296,f79]) ).
fof(f296,plain,
( ~ aSet0(xS)
| aElementOf0(sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl4_2 ),
inference(resolution,[],[f116,f53]) ).
fof(f53,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| aElementOf0(sK1(X0,X1),X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,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/sandbox2/tmp/tmp.Srh4SWuSsz/Vampire---4.8_22849',mDefSub) ).
fof(f116,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| spl4_2 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl4_2
<=> aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f776,plain,
( ~ aElementOf0(sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| xx = sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(xS)
| spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f775,f119]) ).
fof(f775,plain,
( ~ aElement0(xx)
| ~ aElementOf0(sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| xx = sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(xS)
| spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(resolution,[],[f470,f108]) ).
fof(f108,plain,
! [X3,X0,X1] :
( aElementOf0(X3,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f92,f46]) ).
fof(f92,plain,
! [X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| aElementOf0(X3,sdtmndt0(X0,X1)) ),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| aElementOf0(X3,X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Srh4SWuSsz/Vampire---4.8_22849',mDefDiff) ).
fof(f470,plain,
( ~ aElementOf0(sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx))
| spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f469,f169]) ).
fof(f469,plain,
( ~ aElementOf0(sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx))
| spl4_2
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f467,f119]) ).
fof(f467,plain,
( ~ aElement0(xx)
| ~ aElementOf0(sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx))
| spl4_2
| ~ spl4_4 ),
inference(resolution,[],[f298,f103]) ).
fof(f103,plain,
! [X3,X0,X1] :
( aElementOf0(X3,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f90,f46]) ).
fof(f90,plain,
! [X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| aElementOf0(X3,sdtpldt0(X0,X1)) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| aElementOf0(X3,X2)
| sdtpldt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f298,plain,
( ~ aElementOf0(sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtpldt0(sdtmndt0(xS,xx),xx))
| spl4_2
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f297,f160]) ).
fof(f297,plain,
( ~ aElementOf0(sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl4_2 ),
inference(subsumption_resolution,[],[f295,f79]) ).
fof(f295,plain,
( ~ aSet0(xS)
| ~ aElementOf0(sK1(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl4_2 ),
inference(resolution,[],[f116,f54]) ).
fof(f54,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aElementOf0(sK1(X0,X1),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f355,plain,
( spl4_1
| ~ spl4_4
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f354,plain,
( $false
| spl4_1
| ~ spl4_4
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f353,f79]) ).
fof(f353,plain,
( ~ aSet0(xS)
| spl4_1
| ~ spl4_4
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f352,f344]) ).
fof(f344,plain,
( ~ aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| spl4_1
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f343,f79]) ).
fof(f343,plain,
( ~ aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ aSet0(xS)
| spl4_1
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f341,f160]) ).
fof(f341,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ aSet0(xS)
| spl4_1 ),
inference(resolution,[],[f112,f54]) ).
fof(f112,plain,
( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| spl4_1 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl4_1
<=> aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f352,plain,
( aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ aSet0(xS)
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f349,f119]) ).
fof(f349,plain,
( ~ aElement0(xx)
| aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ aSet0(xS)
| ~ spl4_8 ),
inference(resolution,[],[f240,f95]) ).
fof(f95,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f71]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f240,plain,
( aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl4_8
<=> aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f249,plain,
( spl4_1
| ~ spl4_4
| ~ spl4_7 ),
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f248,plain,
( $false
| spl4_1
| ~ spl4_4
| ~ spl4_7 ),
inference(subsumption_resolution,[],[f245,f80]) ).
fof(f245,plain,
( ~ aElementOf0(xx,xS)
| spl4_1
| ~ spl4_4
| ~ spl4_7 ),
inference(superposition,[],[f197,f236]) ).
fof(f236,plain,
( xx = sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl4_7
<=> xx = sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f197,plain,
( ~ aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| spl4_1
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f196,f79]) ).
fof(f196,plain,
( ~ aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ aSet0(xS)
| spl4_1
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f185,f160]) ).
fof(f185,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ aSet0(xS)
| spl4_1 ),
inference(resolution,[],[f54,f112]) ).
fof(f241,plain,
( spl4_7
| spl4_8
| ~ spl4_3
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f232,f168,f155,f238,f234]) ).
fof(f155,plain,
( spl4_3
<=> aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f232,plain,
( aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl4_3
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f231,f169]) ).
fof(f231,plain,
( aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f227,f119]) ).
fof(f227,plain,
( ~ aElement0(xx)
| aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,xx))
| ~ spl4_3 ),
inference(resolution,[],[f87,f157]) ).
fof(f157,plain,
( aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f87,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| aElementOf0(X3,X0)
| X1 = X3
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2)
| sdtpldt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f182,plain,
( spl4_4
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f181]) ).
fof(f181,plain,
( $false
| spl4_4
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f180,f169]) ).
fof(f180,plain,
( ~ aSet0(sdtmndt0(xS,xx))
| spl4_4 ),
inference(resolution,[],[f161,f122]) ).
fof(f122,plain,
! [X0] :
( aSet0(sdtpldt0(X0,xx))
| ~ aSet0(X0) ),
inference(resolution,[],[f85,f119]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aSet0(sdtpldt0(X0,X1)) ),
inference(equality_resolution,[],[f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aSet0(X2)
| sdtpldt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f161,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl4_4 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f179,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| spl4_5 ),
inference(subsumption_resolution,[],[f177,f79]) ).
fof(f177,plain,
( ~ aSet0(xS)
| spl4_5 ),
inference(resolution,[],[f170,f123]) ).
fof(f123,plain,
! [X0] :
( aSet0(sdtmndt0(X0,xx))
| ~ aSet0(X0) ),
inference(resolution,[],[f91,f119]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aSet0(sdtmndt0(X0,X1)) ),
inference(equality_resolution,[],[f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aSet0(X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f170,plain,
( ~ aSet0(sdtmndt0(xS,xx))
| spl4_5 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f162,plain,
( spl4_3
| ~ spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f153,f110,f159,f155]) ).
fof(f153,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| spl4_1 ),
inference(subsumption_resolution,[],[f142,f79]) ).
fof(f142,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(sK1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| spl4_1 ),
inference(resolution,[],[f53,f112]) ).
fof(f117,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f81,f114,f110]) ).
fof(f81,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,negated_conjecture,
~ ( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
file('/export/starexec/sandbox2/tmp/tmp.Srh4SWuSsz/Vampire---4.8_22849',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM535+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % 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
% 0.13/0.35 % Computer : n014.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 : Fri May 3 15:11:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 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.Srh4SWuSsz/Vampire---4.8_22849
% 0.56/0.74 % (22965)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)
% 0.56/0.74 % (22966)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)
% 0.56/0.74 % (22959)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)
% 0.56/0.74 % (22961)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (22962)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)
% 0.56/0.74 % (22963)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)
% 0.56/0.74 % (22964)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)
% 0.56/0.74 % (22960)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)
% 0.56/0.74 % (22966)Refutation not found, incomplete strategy% (22966)------------------------------
% 0.56/0.74 % (22966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (22966)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (22966)Memory used [KB]: 1048
% 0.56/0.74 % (22966)Time elapsed: 0.003 s
% 0.56/0.74 % (22966)Instructions burned: 4 (million)
% 0.56/0.74 % (22966)------------------------------
% 0.56/0.74 % (22966)------------------------------
% 0.56/0.74 % (22967)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)
% 0.56/0.75 % (22962)Instruction limit reached!
% 0.56/0.75 % (22962)------------------------------
% 0.56/0.75 % (22962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (22963)Instruction limit reached!
% 0.56/0.75 % (22963)------------------------------
% 0.56/0.75 % (22963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (22963)Termination reason: Unknown
% 0.56/0.75 % (22963)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (22963)Memory used [KB]: 1192
% 0.56/0.75 % (22963)Time elapsed: 0.017 s
% 0.56/0.75 % (22963)Instructions burned: 35 (million)
% 0.56/0.75 % (22963)------------------------------
% 0.56/0.75 % (22963)------------------------------
% 0.56/0.75 % (22962)Termination reason: Unknown
% 0.56/0.75 % (22962)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (22962)Memory used [KB]: 1341
% 0.56/0.75 % (22962)Time elapsed: 0.017 s
% 0.56/0.75 % (22962)Instructions burned: 35 (million)
% 0.56/0.75 % (22962)------------------------------
% 0.56/0.75 % (22962)------------------------------
% 0.56/0.76 % (22968)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)
% 0.56/0.76 % (22969)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)
% 0.56/0.76 % (22959)Instruction limit reached!
% 0.56/0.76 % (22959)------------------------------
% 0.56/0.76 % (22959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (22959)Termination reason: Unknown
% 0.56/0.76 % (22959)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (22959)Memory used [KB]: 1282
% 0.56/0.76 % (22959)Time elapsed: 0.022 s
% 0.56/0.76 % (22959)Instructions burned: 34 (million)
% 0.56/0.76 % (22959)------------------------------
% 0.56/0.76 % (22959)------------------------------
% 0.56/0.76 % (22964)Instruction limit reached!
% 0.56/0.76 % (22964)------------------------------
% 0.56/0.76 % (22964)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (22964)Termination reason: Unknown
% 0.56/0.76 % (22964)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (22964)Memory used [KB]: 1307
% 0.56/0.76 % (22964)Time elapsed: 0.023 s
% 0.56/0.76 % (22964)Instructions burned: 45 (million)
% 0.56/0.76 % (22964)------------------------------
% 0.56/0.76 % (22964)------------------------------
% 0.56/0.76 % (22970)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)
% 0.56/0.76 % (22965)Instruction limit reached!
% 0.56/0.76 % (22965)------------------------------
% 0.56/0.76 % (22965)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (22965)Termination reason: Unknown
% 0.56/0.76 % (22965)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (22965)Memory used [KB]: 2275
% 0.56/0.76 % (22965)Time elapsed: 0.029 s
% 0.56/0.76 % (22965)Instructions burned: 83 (million)
% 0.56/0.76 % (22965)------------------------------
% 0.56/0.76 % (22965)------------------------------
% 0.56/0.77 % (22967)Instruction limit reached!
% 0.56/0.77 % (22967)------------------------------
% 0.56/0.77 % (22967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (22967)Termination reason: Unknown
% 0.56/0.77 % (22967)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (22967)Memory used [KB]: 1942
% 0.56/0.77 % (22967)Time elapsed: 0.025 s
% 0.56/0.77 % (22967)Instructions burned: 56 (million)
% 0.56/0.77 % (22967)------------------------------
% 0.56/0.77 % (22967)------------------------------
% 0.56/0.77 % (22971)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)
% 0.56/0.77 % (22972)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)
% 0.56/0.77 % (22973)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)
% 0.56/0.77 % (22960)Instruction limit reached!
% 0.56/0.77 % (22960)------------------------------
% 0.56/0.77 % (22960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (22960)Termination reason: Unknown
% 0.56/0.77 % (22960)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (22960)Memory used [KB]: 1876
% 0.56/0.77 % (22960)Time elapsed: 0.037 s
% 0.56/0.77 % (22960)Instructions burned: 52 (million)
% 0.56/0.77 % (22960)------------------------------
% 0.56/0.77 % (22960)------------------------------
% 0.56/0.78 % (22974)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.56/0.78 % (22961)Instruction limit reached!
% 0.56/0.78 % (22961)------------------------------
% 0.56/0.78 % (22961)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (22961)Termination reason: Unknown
% 0.56/0.78 % (22961)Termination phase: Saturation
% 0.56/0.78
% 0.56/0.78 % (22961)Memory used [KB]: 1496
% 0.56/0.78 % (22961)Time elapsed: 0.046 s
% 0.56/0.78 % (22961)Instructions burned: 79 (million)
% 0.56/0.78 % (22961)------------------------------
% 0.56/0.78 % (22961)------------------------------
% 0.56/0.78 % (22968)Instruction limit reached!
% 0.56/0.78 % (22968)------------------------------
% 0.56/0.78 % (22968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.79 % (22968)Termination reason: Unknown
% 0.56/0.79 % (22968)Termination phase: Saturation
% 0.56/0.79
% 0.56/0.79 % (22968)Memory used [KB]: 1412
% 0.56/0.79 % (22968)Time elapsed: 0.031 s
% 0.56/0.79 % (22968)Instructions burned: 51 (million)
% 0.56/0.79 % (22968)------------------------------
% 0.56/0.79 % (22968)------------------------------
% 0.56/0.79 % (22975)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.56/0.79 % (22972)Instruction limit reached!
% 0.56/0.79 % (22972)------------------------------
% 0.56/0.79 % (22972)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.79 % (22972)Termination reason: Unknown
% 0.56/0.79 % (22972)Termination phase: Saturation
% 0.56/0.79
% 0.56/0.79 % (22972)Memory used [KB]: 1535
% 0.56/0.79 % (22972)Time elapsed: 0.022 s
% 0.56/0.79 % (22972)Instructions burned: 43 (million)
% 0.56/0.79 % (22972)------------------------------
% 0.56/0.79 % (22972)------------------------------
% 0.56/0.79 % (22976)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.56/0.79 % (22977)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.85/0.79 % (22970)Instruction limit reached!
% 0.85/0.79 % (22970)------------------------------
% 0.85/0.79 % (22970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.79 % (22970)Termination reason: Unknown
% 0.85/0.79 % (22970)Termination phase: Saturation
% 0.85/0.79
% 0.85/0.80 % (22970)Memory used [KB]: 1398
% 0.85/0.80 % (22970)Time elapsed: 0.035 s
% 0.85/0.80 % (22970)Instructions burned: 53 (million)
% 0.85/0.80 % (22970)------------------------------
% 0.85/0.80 % (22970)------------------------------
% 0.85/0.80 % (22978)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.85/0.81 % (22977)Instruction limit reached!
% 0.85/0.81 % (22977)------------------------------
% 0.85/0.81 % (22977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.81 % (22977)Termination reason: Unknown
% 0.85/0.81 % (22977)Termination phase: Saturation
% 0.85/0.81
% 0.85/0.81 % (22977)Memory used [KB]: 1697
% 0.85/0.81 % (22977)Time elapsed: 0.022 s
% 0.85/0.81 % (22977)Instructions burned: 63 (million)
% 0.85/0.81 % (22977)------------------------------
% 0.85/0.81 % (22977)------------------------------
% 0.85/0.81 % (22979)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.85/0.82 % (22978)First to succeed.
% 0.85/0.82 % (22978)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22958"
% 0.85/0.83 % (22978)Refutation found. Thanks to Tanya!
% 0.85/0.83 % SZS status Theorem for Vampire---4
% 0.85/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.85/0.83 % (22978)------------------------------
% 0.85/0.83 % (22978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.83 % (22978)Termination reason: Refutation
% 0.85/0.83
% 0.85/0.83 % (22978)Memory used [KB]: 1275
% 0.85/0.83 % (22978)Time elapsed: 0.046 s
% 0.85/0.83 % (22978)Instructions burned: 33 (million)
% 0.85/0.83 % (22958)Success in time 0.449 s
% 0.85/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------