TSTP Solution File: NUM537+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM537+2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 08:12:52 EDT 2024
% Result : Theorem 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 30
% Syntax : Number of formulae : 118 ( 4 unt; 0 def)
% Number of atoms : 551 ( 60 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 652 ( 219 ~; 213 |; 155 &)
% ( 43 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 25 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 76 ( 65 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f395,plain,
$false,
inference(avatar_sat_refutation,[],[f192,f197,f202,f212,f230,f234,f256,f261,f267,f269,f279,f284,f285,f287,f309,f335,f367,f384,f389,f394]) ).
fof(f394,plain,
( spl15_11
| ~ spl15_21
| ~ spl15_22 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| spl15_11
| ~ spl15_21
| ~ spl15_22 ),
inference(subsumption_resolution,[],[f392,f229]) ).
fof(f229,plain,
( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl15_11 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl15_11
<=> aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f392,plain,
( aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl15_21
| ~ spl15_22 ),
inference(forward_demodulation,[],[f283,f304]) ).
fof(f304,plain,
( xx = sK10
| ~ spl15_22 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl15_22
<=> xx = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f283,plain,
( aElementOf0(sK10,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl15_21
<=> aElementOf0(sK10,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f389,plain,
( ~ spl15_4
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl15_4
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f386,f100]) ).
fof(f100,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/tmp.Dd2tdx7RGL/Vampire---4.8_30657',m__679_02) ).
fof(f386,plain,
( aElementOf0(xx,xS)
| ~ spl15_4
| ~ spl15_24 ),
inference(backward_demodulation,[],[f196,f362]) ).
fof(f362,plain,
( xx = sK9
| ~ spl15_24 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f360,plain,
( spl15_24
<=> xx = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f196,plain,
( aElementOf0(sK9,xS)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl15_4
<=> aElementOf0(sK9,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f384,plain,
( ~ spl15_4
| ~ spl15_16
| spl15_25 ),
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f383,plain,
( $false
| ~ spl15_4
| ~ spl15_16
| spl15_25 ),
inference(subsumption_resolution,[],[f377,f99]) ).
fof(f99,plain,
aSet0(xS),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( aSet0(xS)
& aElement0(xx) ),
file('/export/starexec/sandbox/tmp/tmp.Dd2tdx7RGL/Vampire---4.8_30657',m__679) ).
fof(f377,plain,
( ~ aSet0(xS)
| ~ spl15_4
| ~ spl15_16
| spl15_25 ),
inference(resolution,[],[f376,f196]) ).
fof(f376,plain,
( ! [X0] :
( ~ aElementOf0(sK9,X0)
| ~ aSet0(X0) )
| ~ spl15_4
| ~ spl15_16
| spl15_25 ),
inference(resolution,[],[f371,f155]) ).
fof(f155,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,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.Dd2tdx7RGL/Vampire---4.8_30657',mEOfElem) ).
fof(f371,plain,
( ~ aElement0(sK9)
| ~ spl15_4
| ~ spl15_16
| spl15_25 ),
inference(subsumption_resolution,[],[f370,f196]) ).
fof(f370,plain,
( ~ aElement0(sK9)
| ~ aElementOf0(sK9,xS)
| ~ spl15_16
| spl15_25 ),
inference(resolution,[],[f366,f251]) ).
fof(f251,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl15_16
<=> ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f366,plain,
( ~ aElementOf0(sK9,sdtpldt0(xS,xx))
| spl15_25 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f364,plain,
( spl15_25
<=> aElementOf0(sK9,sdtpldt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f367,plain,
( spl15_24
| ~ spl15_25
| spl15_3
| ~ spl15_10
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f356,f258,f223,f189,f364,f360]) ).
fof(f189,plain,
( spl15_3
<=> aElementOf0(sK9,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f223,plain,
( spl15_10
<=> ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| xx = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f258,plain,
( spl15_18
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f356,plain,
( ~ aElementOf0(sK9,sdtpldt0(xS,xx))
| xx = sK9
| spl15_3
| ~ spl15_10
| ~ spl15_18 ),
inference(resolution,[],[f291,f191]) ).
fof(f191,plain,
( ~ aElementOf0(sK9,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl15_3 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f291,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| xx = X0 )
| ~ spl15_10
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f224,f259]) ).
fof(f259,plain,
( ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f224,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| xx = X0 )
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f335,plain,
( ~ spl15_21
| ~ spl15_12
| spl15_23 ),
inference(avatar_split_clause,[],[f330,f306,f232,f281]) ).
fof(f232,plain,
( spl15_12
<=> ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f306,plain,
( spl15_23
<=> aElementOf0(sK10,sdtpldt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f330,plain,
( ~ aElementOf0(sK10,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl15_12
| spl15_23 ),
inference(resolution,[],[f233,f308]) ).
fof(f308,plain,
( ~ aElementOf0(sK10,sdtpldt0(xS,xx))
| spl15_23 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f233,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f309,plain,
( spl15_22
| ~ spl15_23
| ~ spl15_17
| spl15_20 ),
inference(avatar_split_clause,[],[f299,f276,f254,f306,f302]) ).
fof(f254,plain,
( spl15_17
<=> ! [X0] :
( xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f276,plain,
( spl15_20
<=> aElementOf0(sK10,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f299,plain,
( ~ aElementOf0(sK10,sdtpldt0(xS,xx))
| xx = sK10
| ~ spl15_17
| spl15_20 ),
inference(resolution,[],[f255,f278]) ).
fof(f278,plain,
( ~ aElementOf0(sK10,xS)
| spl15_20 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f255,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| xx = X0 )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f287,plain,
( spl15_1
| spl15_14 ),
inference(avatar_split_clause,[],[f125,f241,f180]) ).
fof(f180,plain,
( spl15_1
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f241,plain,
( spl15_14
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f125,plain,
( sP2
| sP4 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ~ aElementOf0(sK10,xS)
& aElementOf0(sK10,sdtmndt0(sdtpldt0(xS,xx),xx))
& sP3
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& sP2
& aSet0(sdtpldt0(xS,xx)) )
| sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f73,f74]) ).
fof(f74,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( ~ aElementOf0(sK10,xS)
& aElementOf0(sK10,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& sP3
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& sP2
& aSet0(sdtpldt0(xS,xx)) )
| sP4 ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
( ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& sP3
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& sP2
& aSet0(sdtpldt0(xS,xx)) )
| sP4 ),
inference(definition_folding,[],[f30,f50,f49,f48,f47,f46]) ).
fof(f46,plain,
( ! [X3] :
( aElementOf0(X3,sdtpldt0(xS,xx))
<=> ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f47,plain,
( ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f48,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f49,plain,
( ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f50,plain,
( ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& sP1
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& sP0
& aSet0(sdtpldt0(xS,xx)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f30,plain,
( ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(xS,xx))
<=> ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) ) )
& aSet0(sdtpldt0(xS,xx)) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
( ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(xS,xx))
<=> ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) ) )
& aSet0(sdtpldt0(xS,xx)) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X2,xS) ) ) ) )
& ( ( ! [X3] :
( aElementOf0(X3,sdtpldt0(xS,xx))
<=> ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ! [X5] :
( aElementOf0(X5,xS)
=> aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X0,xS) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
( ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X0,xS) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Dd2tdx7RGL/Vampire---4.8_30657',m__) ).
fof(f285,plain,
( spl15_1
| spl15_9 ),
inference(avatar_split_clause,[],[f127,f219,f180]) ).
fof(f219,plain,
( spl15_9
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f127,plain,
( sP3
| sP4 ),
inference(cnf_transformation,[],[f75]) ).
fof(f284,plain,
( spl15_1
| spl15_21 ),
inference(avatar_split_clause,[],[f128,f281,f180]) ).
fof(f128,plain,
( aElementOf0(sK10,sdtmndt0(sdtpldt0(xS,xx),xx))
| sP4 ),
inference(cnf_transformation,[],[f75]) ).
fof(f279,plain,
( spl15_1
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f129,f276,f180]) ).
fof(f129,plain,
( ~ aElementOf0(sK10,xS)
| sP4 ),
inference(cnf_transformation,[],[f75]) ).
fof(f269,plain,
( ~ spl15_7
| spl15_18 ),
inference(avatar_split_clause,[],[f120,f258,f209]) ).
fof(f209,plain,
( spl15_7
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f120,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ sP0 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xS,xx))
| ( xx != X0
& ~ aElementOf0(X0,xS) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) )
| ~ sP0 ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
( ! [X3] :
( ( aElementOf0(X3,sdtpldt0(xS,xx))
| ( xx != X3
& ~ aElementOf0(X3,xS) )
| ~ aElement0(X3) )
& ( ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) )
| ~ aElementOf0(X3,sdtpldt0(xS,xx)) ) )
| ~ sP0 ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
( ! [X3] :
( ( aElementOf0(X3,sdtpldt0(xS,xx))
| ( xx != X3
& ~ aElementOf0(X3,xS) )
| ~ aElement0(X3) )
& ( ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) )
| ~ aElementOf0(X3,sdtpldt0(xS,xx)) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f46]) ).
fof(f267,plain,
( ~ spl15_7
| spl15_16 ),
inference(avatar_split_clause,[],[f122,f250,f209]) ).
fof(f122,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f72]) ).
fof(f261,plain,
( ~ spl15_5
| spl15_10 ),
inference(avatar_split_clause,[],[f119,f223,f199]) ).
fof(f199,plain,
( spl15_5
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f119,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| ~ sP1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP1 ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
( ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X4
| ~ aElementOf0(X4,sdtpldt0(xS,xx))
| ~ aElement0(X4) )
& ( ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP1 ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
( ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X4
| ~ aElementOf0(X4,sdtpldt0(xS,xx))
| ~ aElement0(X4) )
& ( ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f47]) ).
fof(f256,plain,
( ~ spl15_14
| spl15_17 ),
inference(avatar_split_clause,[],[f113,f254,f241]) ).
fof(f113,plain,
! [X0] :
( xx = X0
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ sP2 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xS,xx))
| ( xx != X0
& ~ aElementOf0(X0,xS) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) )
| ~ sP2 ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xS,xx))
| ( xx != X0
& ~ aElementOf0(X0,xS) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f48]) ).
fof(f234,plain,
( ~ spl15_9
| spl15_12 ),
inference(avatar_split_clause,[],[f109,f232,f219]) ).
fof(f109,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP3 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP3 ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X1
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElement0(X1) )
& ( ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP3 ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X1
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElement0(X1) )
& ( ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f49]) ).
fof(f230,plain,
( ~ spl15_9
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f169,f227,f219]) ).
fof(f169,plain,
( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP3 ),
inference(equality_resolution,[],[f110]) ).
fof(f110,plain,
! [X0] :
( xx != X0
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP3 ),
inference(cnf_transformation,[],[f64]) ).
fof(f212,plain,
( ~ spl15_1
| spl15_7 ),
inference(avatar_split_clause,[],[f102,f209,f180]) ).
fof(f102,plain,
( sP0
| ~ sP4 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(sK9,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(sK9,xS)
& sP1
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& sP0
& aSet0(sdtpldt0(xS,xx)) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f59,f60]) ).
fof(f60,plain,
( ? [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X0,xS) )
=> ( ~ aElementOf0(sK9,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(sK9,xS) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X0,xS) )
& sP1
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& sP0
& aSet0(sdtpldt0(xS,xx)) )
| ~ sP4 ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
( ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& sP1
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& sP0
& aSet0(sdtpldt0(xS,xx)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f50]) ).
fof(f202,plain,
( ~ spl15_1
| spl15_5 ),
inference(avatar_split_clause,[],[f104,f199,f180]) ).
fof(f104,plain,
( sP1
| ~ sP4 ),
inference(cnf_transformation,[],[f61]) ).
fof(f197,plain,
( ~ spl15_1
| spl15_4 ),
inference(avatar_split_clause,[],[f105,f194,f180]) ).
fof(f105,plain,
( aElementOf0(sK9,xS)
| ~ sP4 ),
inference(cnf_transformation,[],[f61]) ).
fof(f192,plain,
( ~ spl15_1
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f106,f189,f180]) ).
fof(f106,plain,
( ~ aElementOf0(sK9,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP4 ),
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM537+2 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n020.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 : Fri May 3 14:28:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Dd2tdx7RGL/Vampire---4.8_30657
% 0.61/0.76 % (30988)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)
% 0.61/0.76 % (30982)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)
% 0.61/0.76 % (30985)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)
% 0.61/0.76 % (30984)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76 % (30986)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)
% 0.61/0.76 % (30987)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)
% 0.61/0.76 % (30983)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)
% 0.61/0.77 % (30989)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)
% 0.61/0.77 % (30984)First to succeed.
% 0.61/0.77 % (30984)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30907"
% 0.61/0.77 % (30985)Also succeeded, but the first one will report.
% 0.61/0.77 % (30984)Refutation found. Thanks to Tanya!
% 0.61/0.77 % SZS status Theorem for Vampire---4
% 0.61/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (30984)------------------------------
% 0.61/0.78 % (30984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (30984)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (30984)Memory used [KB]: 1187
% 0.61/0.78 % (30984)Time elapsed: 0.011 s
% 0.61/0.78 % (30984)Instructions burned: 15 (million)
% 0.61/0.78 % (30907)Success in time 0.392 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------