TSTP Solution File: NUM535+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM535+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 27
% Syntax : Number of formulae : 106 ( 7 unt; 0 def)
% Number of atoms : 527 ( 55 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 629 ( 208 ~; 205 |; 154 &)
% ( 40 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 22 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 64 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f499,plain,
$false,
inference(avatar_sat_refutation,[],[f169,f174,f179,f189,f215,f236,f241,f242,f245,f248,f258,f263,f264,f266,f291,f436,f498]) ).
fof(f498,plain,
( spl14_3
| ~ spl14_4
| ~ spl14_11
| ~ spl14_12
| ~ spl14_16
| ~ spl14_19 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| spl14_3
| ~ spl14_4
| ~ spl14_11
| ~ spl14_12
| ~ spl14_16
| ~ spl14_19 ),
inference(subsumption_resolution,[],[f477,f206]) ).
fof(f206,plain,
( aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl14_11
<=> aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f477,plain,
( ~ aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| spl14_3
| ~ spl14_4
| ~ spl14_12
| ~ spl14_16
| ~ spl14_19 ),
inference(backward_demodulation,[],[f168,f472]) ).
fof(f472,plain,
( xx = sK9
| spl14_3
| ~ spl14_4
| ~ spl14_12
| ~ spl14_16
| ~ spl14_19 ),
inference(unit_resulting_resolution,[],[f439,f173,f458,f226]) ).
fof(f226,plain,
( ! [X0] :
( xx = X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS)
| aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl14_16
<=> ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS)
| xx = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f458,plain,
( ~ aElementOf0(sK9,sdtmndt0(xS,xx))
| spl14_3
| ~ spl14_12
| ~ spl14_19 ),
inference(unit_resulting_resolution,[],[f168,f270]) ).
fof(f270,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ spl14_12
| ~ spl14_19 ),
inference(subsumption_resolution,[],[f210,f239]) ).
fof(f239,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElement0(X0) )
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl14_19
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f210,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl14_12
<=> ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f173,plain,
( aElementOf0(sK9,xS)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl14_4
<=> aElementOf0(sK9,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f439,plain,
( aElement0(sK9)
| ~ spl14_4 ),
inference(unit_resulting_resolution,[],[f84,f173,f129]) ).
fof(f129,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,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.SjRUbtMpf7/Vampire---4.8_19415',mEOfElem) ).
fof(f84,plain,
aSet0(xS),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox2/tmp/tmp.SjRUbtMpf7/Vampire---4.8_19415',m__617) ).
fof(f168,plain,
( ~ aElementOf0(sK9,sdtpldt0(sdtmndt0(xS,xx),xx))
| spl14_3 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl14_3
<=> aElementOf0(sK9,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f436,plain,
( ~ spl14_13
| ~ spl14_18
| spl14_21
| ~ spl14_22 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| ~ spl14_13
| ~ spl14_18
| spl14_21
| ~ spl14_22 ),
inference(subsumption_resolution,[],[f413,f85]) ).
fof(f85,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/tmp.SjRUbtMpf7/Vampire---4.8_19415',m__617_02) ).
fof(f413,plain,
( ~ aElementOf0(xx,xS)
| ~ spl14_13
| ~ spl14_18
| spl14_21
| ~ spl14_22 ),
inference(backward_demodulation,[],[f257,f412]) ).
fof(f412,plain,
( xx = sK10
| ~ spl14_13
| ~ spl14_18
| spl14_21
| ~ spl14_22 ),
inference(unit_resulting_resolution,[],[f311,f262,f214]) ).
fof(f214,plain,
( ! [X0] :
( xx = X0
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl14_13
<=> ! [X0] :
( xx = X0
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f262,plain,
( aElementOf0(sK10,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl14_22 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl14_22
<=> aElementOf0(sK10,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f311,plain,
( ~ aElementOf0(sK10,sdtmndt0(xS,xx))
| ~ spl14_18
| spl14_21 ),
inference(unit_resulting_resolution,[],[f257,f235]) ).
fof(f235,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElementOf0(X0,xS) )
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl14_18
<=> ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f257,plain,
( ~ aElementOf0(sK10,xS)
| spl14_21 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl14_21
<=> aElementOf0(sK10,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f291,plain,
spl14_10,
inference(avatar_split_clause,[],[f274,f200]) ).
fof(f200,plain,
( spl14_10
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f274,plain,
aElement0(xx),
inference(unit_resulting_resolution,[],[f84,f85,f129]) ).
fof(f266,plain,
( spl14_1
| spl14_15 ),
inference(avatar_split_clause,[],[f110,f221,f157]) ).
fof(f157,plain,
( spl14_1
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f221,plain,
( spl14_15
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f110,plain,
( sP2
| sP4 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& ~ aElementOf0(sK10,xS)
& aElementOf0(sK10,sdtpldt0(sdtmndt0(xS,xx),xx))
& sP3
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& sP2
& aSet0(sdtmndt0(xS,xx)) )
| sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f64,f65]) ).
fof(f65,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( ~ aElementOf0(sK10,xS)
& aElementOf0(sK10,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& sP3
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& sP2
& aSet0(sdtmndt0(xS,xx)) )
| sP4 ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
( ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& sP3
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& sP2
& aSet0(sdtmndt0(xS,xx)) )
| sP4 ),
inference(definition_folding,[],[f25,f41,f40,f39,f38,f37]) ).
fof(f37,plain,
( ! [X3] :
( aElementOf0(X3,sdtmndt0(xS,xx))
<=> ( xx != X3
& aElementOf0(X3,xS)
& aElement0(X3) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f38,plain,
( ! [X4] :
( aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X4
| aElementOf0(X4,sdtmndt0(xS,xx)) )
& aElement0(X4) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f39,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f40,plain,
( ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f41,plain,
( ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& ? [X5] :
( ~ aElementOf0(X5,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& sP1
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& sP0
& aSet0(sdtmndt0(xS,xx)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f25,plain,
( ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
| ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& ? [X5] :
( ~ aElementOf0(X5,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& ! [X4] :
( aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X4
| aElementOf0(X4,sdtmndt0(xS,xx)) )
& aElement0(X4) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(xS,xx))
<=> ( xx != X3
& aElementOf0(X3,xS)
& aElement0(X3) ) )
& aSet0(sdtmndt0(xS,xx)) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
( ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
| ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& ? [X5] :
( ~ aElementOf0(X5,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& ! [X4] :
( aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X4
| aElementOf0(X4,sdtmndt0(xS,xx)) )
& aElement0(X4) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(xS,xx))
<=> ( xx != X3
& aElementOf0(X3,xS)
& aElement0(X3) ) )
& aSet0(sdtmndt0(xS,xx)) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ! [X2] :
( aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx))
=> aElementOf0(X2,xS) ) ) ) )
& ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(xS,xx))
<=> ( xx != X3
& aElementOf0(X3,xS)
& aElement0(X3) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X4] :
( aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X4
| aElementOf0(X4,sdtmndt0(xS,xx)) )
& aElement0(X4) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ! [X5] :
( aElementOf0(X5,xS)
=> aElementOf0(X5,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
=> aElementOf0(X0,xS) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
( ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
=> aElementOf0(X0,xS) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SjRUbtMpf7/Vampire---4.8_19415',m__) ).
fof(f264,plain,
( spl14_1
| spl14_9 ),
inference(avatar_split_clause,[],[f112,f196,f157]) ).
fof(f196,plain,
( spl14_9
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f112,plain,
( sP3
| sP4 ),
inference(cnf_transformation,[],[f66]) ).
fof(f263,plain,
( spl14_1
| spl14_22 ),
inference(avatar_split_clause,[],[f113,f260,f157]) ).
fof(f113,plain,
( aElementOf0(sK10,sdtpldt0(sdtmndt0(xS,xx),xx))
| sP4 ),
inference(cnf_transformation,[],[f66]) ).
fof(f258,plain,
( spl14_1
| ~ spl14_21 ),
inference(avatar_split_clause,[],[f114,f255,f157]) ).
fof(f114,plain,
( ~ aElementOf0(sK10,xS)
| sP4 ),
inference(cnf_transformation,[],[f66]) ).
fof(f248,plain,
( ~ spl14_7
| spl14_19 ),
inference(avatar_split_clause,[],[f105,f238,f186]) ).
fof(f186,plain,
( spl14_7
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f105,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(xS,xx))
| ~ sP0 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
| ~ sP0 ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(xS,xx))
| xx = X3
| ~ aElementOf0(X3,xS)
| ~ aElement0(X3) )
& ( ( xx != X3
& aElementOf0(X3,xS)
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(xS,xx)) ) )
| ~ sP0 ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(xS,xx))
| xx = X3
| ~ aElementOf0(X3,xS)
| ~ aElement0(X3) )
& ( ( xx != X3
& aElementOf0(X3,xS)
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(xS,xx)) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f37]) ).
fof(f245,plain,
( ~ spl14_7
| spl14_16 ),
inference(avatar_split_clause,[],[f108,f225,f186]) ).
fof(f108,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f63]) ).
fof(f242,plain,
( ~ spl14_5
| spl14_12 ),
inference(avatar_split_clause,[],[f103,f209,f176]) ).
fof(f176,plain,
( spl14_5
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f103,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElement0(X0)
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
| ~ sP1 ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
( ! [X4] :
( ( aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X4
& ~ aElementOf0(X4,sdtmndt0(xS,xx)) )
| ~ aElement0(X4) )
& ( ( ( xx = X4
| aElementOf0(X4,sdtmndt0(xS,xx)) )
& aElement0(X4) )
| ~ aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
| ~ sP1 ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
( ! [X4] :
( ( aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X4
& ~ aElementOf0(X4,sdtmndt0(xS,xx)) )
| ~ aElement0(X4) )
& ( ( ( xx = X4
| aElementOf0(X4,sdtmndt0(xS,xx)) )
& aElement0(X4) )
| ~ aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f38]) ).
fof(f241,plain,
( ~ spl14_5
| ~ spl14_10
| spl14_11 ),
inference(avatar_split_clause,[],[f150,f204,f200,f176]) ).
fof(f150,plain,
( aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(xx)
| ~ sP1 ),
inference(equality_resolution,[],[f104]) ).
fof(f104,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx != X0
| ~ aElement0(X0)
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f236,plain,
( ~ spl14_15
| spl14_18 ),
inference(avatar_split_clause,[],[f98,f234,f221]) ).
fof(f98,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtmndt0(xS,xx))
| ~ sP2 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
| ~ sP2 ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f39]) ).
fof(f215,plain,
( ~ spl14_9
| spl14_13 ),
inference(avatar_split_clause,[],[f94,f213,f196]) ).
fof(f94,plain,
! [X0] :
( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
| ~ sP3 ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
( ! [X1] :
( ( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X1
& ~ aElementOf0(X1,sdtmndt0(xS,xx)) )
| ~ aElement0(X1) )
& ( ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) )
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
| ~ sP3 ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
( ! [X1] :
( ( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X1
& ~ aElementOf0(X1,sdtmndt0(xS,xx)) )
| ~ aElement0(X1) )
& ( ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) )
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f40]) ).
fof(f189,plain,
( ~ spl14_1
| spl14_7 ),
inference(avatar_split_clause,[],[f87,f186,f157]) ).
fof(f87,plain,
( sP0
| ~ sP4 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& ~ aElementOf0(sK9,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(sK9,xS)
& sP1
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& sP0
& aSet0(sdtmndt0(xS,xx)) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f50,f51]) ).
fof(f51,plain,
( ? [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X0,xS) )
=> ( ~ aElementOf0(sK9,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(sK9,xS) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& ? [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X0,xS) )
& sP1
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& sP0
& aSet0(sdtmndt0(xS,xx)) )
| ~ sP4 ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
( ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& ? [X5] :
( ~ aElementOf0(X5,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& sP1
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& sP0
& aSet0(sdtmndt0(xS,xx)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f41]) ).
fof(f179,plain,
( ~ spl14_1
| spl14_5 ),
inference(avatar_split_clause,[],[f89,f176,f157]) ).
fof(f89,plain,
( sP1
| ~ sP4 ),
inference(cnf_transformation,[],[f52]) ).
fof(f174,plain,
( ~ spl14_1
| spl14_4 ),
inference(avatar_split_clause,[],[f90,f171,f157]) ).
fof(f90,plain,
( aElementOf0(sK9,xS)
| ~ sP4 ),
inference(cnf_transformation,[],[f52]) ).
fof(f169,plain,
( ~ spl14_1
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f91,f166,f157]) ).
fof(f91,plain,
( ~ aElementOf0(sK9,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ sP4 ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM535+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:53:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.SjRUbtMpf7/Vampire---4.8_19415
% 0.55/0.73 % (19555)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)
% 0.55/0.73 % (19556)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)
% 0.55/0.73 % (19549)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)
% 0.55/0.73 % (19552)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)
% 0.55/0.73 % (19550)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)
% 0.55/0.73 % (19551)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73 % (19553)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)
% 0.55/0.73 % (19554)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)
% 0.55/0.74 % (19556)Refutation not found, incomplete strategy% (19556)------------------------------
% 0.55/0.74 % (19556)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (19556)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (19556)Memory used [KB]: 1159
% 0.55/0.74 % (19556)Time elapsed: 0.005 s
% 0.55/0.74 % (19556)Instructions burned: 9 (million)
% 0.55/0.74 % (19556)------------------------------
% 0.55/0.74 % (19556)------------------------------
% 0.55/0.74 % (19557)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)
% 0.55/0.74 % (19552)First to succeed.
% 0.55/0.75 % (19552)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19548"
% 0.55/0.75 % (19552)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (19552)------------------------------
% 0.55/0.75 % (19552)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19552)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (19552)Memory used [KB]: 1217
% 0.55/0.75 % (19552)Time elapsed: 0.013 s
% 0.55/0.75 % (19552)Instructions burned: 19 (million)
% 0.55/0.75 % (19548)Success in time 0.382 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------