TSTP Solution File: NUM534+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM534+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 : n024.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 0.70s 0.78s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 101 ( 8 unt; 0 def)
% Number of atoms : 401 ( 45 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 478 ( 178 ~; 190 |; 77 &)
% ( 20 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 61 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f593,plain,
$false,
inference(avatar_sat_refutation,[],[f139,f145,f393,f427,f508,f510,f532,f554,f592]) ).
fof(f592,plain,
( spl8_15
| ~ spl8_20 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f591,plain,
( $false
| spl8_15
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f590,f75]) ).
fof(f75,plain,
aSet0(xS),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox/tmp/tmp.OTCPDyduqf/Vampire---4.8_7397',m__617) ).
fof(f590,plain,
( ~ aSet0(xS)
| spl8_15
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f589,f82]) ).
fof(f82,plain,
aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [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)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xS,xx))
| xx = X1
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) )
& ( ( xx != X1
& aElementOf0(X1,xS)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [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)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [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)) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [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)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [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)) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( xS != 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)) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
( xS != 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)) ),
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)) )
=> xS = 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)) )
=> xS = 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)) )
=> xS = sdtpldt0(sdtmndt0(xS,xx),xx) ) ),
file('/export/starexec/sandbox/tmp/tmp.OTCPDyduqf/Vampire---4.8_7397',m__) ).
fof(f589,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| spl8_15
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f585,f389]) ).
fof(f389,plain,
( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| spl8_15 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl8_15
<=> aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f585,plain,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ spl8_20 ),
inference(resolution,[],[f569,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ aElementOf0(sK6(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,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])],[f67,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK6(X0,X1),X0)
& aElementOf0(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f67,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,[],[f66]) ).
fof(f66,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,[],[f65]) ).
fof(f65,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,[],[f41]) ).
fof(f41,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.OTCPDyduqf/Vampire---4.8_7397',mDefSub) ).
fof(f569,plain,
( aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ spl8_20 ),
inference(resolution,[],[f426,f79]) ).
fof(f79,plain,
! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xS,xx))
| aElementOf0(X1,xS) ),
inference(cnf_transformation,[],[f52]) ).
fof(f426,plain,
( aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f425,plain,
( spl8_20
<=> aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
fof(f554,plain,
( spl8_15
| ~ spl8_19 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f553,plain,
( $false
| spl8_15
| ~ spl8_19 ),
inference(subsumption_resolution,[],[f552,f75]) ).
fof(f552,plain,
( ~ aSet0(xS)
| spl8_15
| ~ spl8_19 ),
inference(subsumption_resolution,[],[f551,f82]) ).
fof(f551,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| spl8_15
| ~ spl8_19 ),
inference(subsumption_resolution,[],[f550,f389]) ).
fof(f550,plain,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ spl8_19 ),
inference(subsumption_resolution,[],[f549,f76]) ).
fof(f76,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/tmp.OTCPDyduqf/Vampire---4.8_7397',m__617_02) ).
fof(f549,plain,
( ~ aElementOf0(xx,xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ spl8_19 ),
inference(superposition,[],[f119,f423]) ).
fof(f423,plain,
( xx = sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl8_19
<=> xx = sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
fof(f532,plain,
( ~ spl8_2
| spl8_14
| ~ spl8_18 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f531,plain,
( $false
| ~ spl8_2
| spl8_14
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f530,f82]) ).
fof(f530,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_2
| spl8_14
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f529,f75]) ).
fof(f529,plain,
( ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_2
| spl8_14
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f528,f386]) ).
fof(f386,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_14 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f385,plain,
( spl8_14
<=> aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f528,plain,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_2
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f527,f138]) ).
fof(f138,plain,
( aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl8_2
<=> aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f527,plain,
( ~ aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_18 ),
inference(superposition,[],[f119,f409]) ).
fof(f409,plain,
( xx = sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl8_18
<=> xx = sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f510,plain,
( spl8_17
| spl8_18
| spl8_14 ),
inference(avatar_split_clause,[],[f509,f385,f408,f405]) ).
fof(f405,plain,
( spl8_17
<=> aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f509,plain,
( xx = sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx))
| spl8_14 ),
inference(subsumption_resolution,[],[f456,f459]) ).
fof(f459,plain,
( aElement0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| spl8_14 ),
inference(subsumption_resolution,[],[f457,f75]) ).
fof(f457,plain,
( aElement0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| ~ aSet0(xS)
| spl8_14 ),
inference(resolution,[],[f430,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,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.OTCPDyduqf/Vampire---4.8_7397',mEOfElem) ).
fof(f430,plain,
( aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| spl8_14 ),
inference(subsumption_resolution,[],[f429,f82]) ).
fof(f429,plain,
( aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_14 ),
inference(subsumption_resolution,[],[f428,f75]) ).
fof(f428,plain,
( aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_14 ),
inference(resolution,[],[f386,f118]) ).
fof(f118,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK6(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f456,plain,
( xx = sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx))
| ~ aElement0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| spl8_14 ),
inference(resolution,[],[f430,f81]) ).
fof(f81,plain,
! [X1] :
( ~ aElementOf0(X1,xS)
| xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f508,plain,
( spl8_14
| ~ spl8_17 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f507,plain,
( $false
| spl8_14
| ~ spl8_17 ),
inference(subsumption_resolution,[],[f506,f82]) ).
fof(f506,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_14
| ~ spl8_17 ),
inference(subsumption_resolution,[],[f505,f75]) ).
fof(f505,plain,
( ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_14
| ~ spl8_17 ),
inference(subsumption_resolution,[],[f500,f386]) ).
fof(f500,plain,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_17 ),
inference(resolution,[],[f480,f119]) ).
fof(f480,plain,
( aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_17 ),
inference(resolution,[],[f406,f315]) ).
fof(f315,plain,
! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(subsumption_resolution,[],[f85,f78]) ).
fof(f78,plain,
! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xS,xx))
| aElement0(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f85,plain,
! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f406,plain,
( aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx))
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f427,plain,
( spl8_19
| spl8_20
| spl8_15 ),
inference(avatar_split_clause,[],[f417,f388,f425,f422]) ).
fof(f417,plain,
( aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_15 ),
inference(resolution,[],[f416,f84]) ).
fof(f84,plain,
! [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f416,plain,
( aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_15 ),
inference(subsumption_resolution,[],[f415,f75]) ).
fof(f415,plain,
( aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| spl8_15 ),
inference(subsumption_resolution,[],[f414,f82]) ).
fof(f414,plain,
( aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| spl8_15 ),
inference(resolution,[],[f389,f118]) ).
fof(f393,plain,
( ~ spl8_15
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f392,f385,f388]) ).
fof(f392,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(subsumption_resolution,[],[f391,f82]) ).
fof(f391,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(subsumption_resolution,[],[f375,f75]) ).
fof(f375,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(extensionality_resolution,[],[f113,f87]) ).
fof(f87,plain,
xS != sdtpldt0(sdtmndt0(xS,xx),xx),
inference(cnf_transformation,[],[f52]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.OTCPDyduqf/Vampire---4.8_7397',mSubASymm) ).
fof(f145,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| spl8_1 ),
inference(subsumption_resolution,[],[f143,f75]) ).
fof(f143,plain,
( ~ aSet0(xS)
| spl8_1 ),
inference(subsumption_resolution,[],[f142,f135]) ).
fof(f135,plain,
( ~ aElement0(xx)
| spl8_1 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl8_1
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f142,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[],[f123,f76]) ).
fof(f139,plain,
( ~ spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f125,f137,f134]) ).
fof(f125,plain,
( aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(xx) ),
inference(equality_resolution,[],[f86]) ).
fof(f86,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % 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
% 0.14/0.35 % Computer : n024.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 15:07:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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.OTCPDyduqf/Vampire---4.8_7397
% 0.51/0.72 % (7512)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)
% 0.51/0.72 % (7506)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)
% 0.51/0.72 % (7508)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.73 % (7509)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)
% 0.51/0.73 % (7507)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)
% 0.51/0.73 % (7510)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)
% 0.51/0.73 % (7511)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)
% 0.51/0.73 % (7513)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)
% 0.57/0.73 % (7513)Refutation not found, incomplete strategy% (7513)------------------------------
% 0.57/0.73 % (7513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (7513)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (7513)Memory used [KB]: 1058
% 0.57/0.73 % (7513)Time elapsed: 0.005 s
% 0.57/0.73 % (7513)Instructions burned: 4 (million)
% 0.57/0.73 % (7513)------------------------------
% 0.57/0.73 % (7513)------------------------------
% 0.57/0.74 % (7514)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)
% 0.57/0.75 % (7509)Instruction limit reached!
% 0.57/0.75 % (7509)------------------------------
% 0.57/0.75 % (7509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (7509)Termination reason: Unknown
% 0.57/0.75 % (7509)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (7509)Memory used [KB]: 1514
% 0.57/0.75 % (7509)Time elapsed: 0.022 s
% 0.57/0.75 % (7509)Instructions burned: 34 (million)
% 0.57/0.75 % (7509)------------------------------
% 0.57/0.75 % (7509)------------------------------
% 0.57/0.75 % (7506)Instruction limit reached!
% 0.57/0.75 % (7506)------------------------------
% 0.57/0.75 % (7506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (7506)Termination reason: Unknown
% 0.57/0.75 % (7506)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (7506)Memory used [KB]: 1298
% 0.57/0.75 % (7506)Time elapsed: 0.023 s
% 0.57/0.75 % (7506)Instructions burned: 34 (million)
% 0.57/0.75 % (7506)------------------------------
% 0.57/0.75 % (7506)------------------------------
% 0.57/0.75 % (7516)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)
% 0.57/0.75 % (7515)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)
% 0.57/0.75 % (7511)Instruction limit reached!
% 0.57/0.75 % (7511)------------------------------
% 0.57/0.75 % (7511)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (7511)Termination reason: Unknown
% 0.57/0.75 % (7511)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (7511)Memory used [KB]: 1444
% 0.57/0.75 % (7511)Time elapsed: 0.028 s
% 0.57/0.75 % (7511)Instructions burned: 45 (million)
% 0.57/0.75 % (7511)------------------------------
% 0.57/0.75 % (7511)------------------------------
% 0.57/0.75 % (7512)Instruction limit reached!
% 0.57/0.75 % (7512)------------------------------
% 0.57/0.75 % (7512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (7512)Termination reason: Unknown
% 0.57/0.75 % (7512)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (7512)Memory used [KB]: 2266
% 0.57/0.75 % (7512)Time elapsed: 0.030 s
% 0.57/0.75 % (7512)Instructions burned: 84 (million)
% 0.57/0.75 % (7512)------------------------------
% 0.57/0.75 % (7512)------------------------------
% 0.57/0.75 % (7510)Instruction limit reached!
% 0.57/0.75 % (7510)------------------------------
% 0.57/0.75 % (7510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (7510)Termination reason: Unknown
% 0.57/0.75 % (7510)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (7510)Memory used [KB]: 1444
% 0.57/0.75 % (7510)Time elapsed: 0.025 s
% 0.57/0.75 % (7510)Instructions burned: 35 (million)
% 0.57/0.75 % (7510)------------------------------
% 0.57/0.75 % (7510)------------------------------
% 0.57/0.76 % (7517)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)
% 0.57/0.76 % (7519)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)
% 0.57/0.76 % (7518)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)
% 0.70/0.76 % (7514)Instruction limit reached!
% 0.70/0.76 % (7514)------------------------------
% 0.70/0.76 % (7514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.76 % (7514)Termination reason: Unknown
% 0.70/0.76 % (7514)Termination phase: Saturation
% 0.70/0.76
% 0.70/0.76 % (7514)Memory used [KB]: 1972
% 0.70/0.76 % (7514)Time elapsed: 0.031 s
% 0.70/0.77 % (7514)Instructions burned: 56 (million)
% 0.70/0.77 % (7514)------------------------------
% 0.70/0.77 % (7514)------------------------------
% 0.70/0.77 % (7520)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)
% 0.70/0.77 % (7507)Instruction limit reached!
% 0.70/0.77 % (7507)------------------------------
% 0.70/0.77 % (7507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.77 % (7508)Instruction limit reached!
% 0.70/0.77 % (7508)------------------------------
% 0.70/0.77 % (7508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.77 % (7508)Termination reason: Unknown
% 0.70/0.77 % (7508)Termination phase: Saturation
% 0.70/0.77
% 0.70/0.77 % (7508)Memory used [KB]: 1613
% 0.70/0.77 % (7508)Time elapsed: 0.049 s
% 0.70/0.77 % (7508)Instructions burned: 79 (million)
% 0.70/0.77 % (7508)------------------------------
% 0.70/0.77 % (7508)------------------------------
% 0.70/0.77 % (7507)Termination reason: Unknown
% 0.70/0.77 % (7507)Termination phase: Saturation
% 0.70/0.77
% 0.70/0.77 % (7507)Memory used [KB]: 1732
% 0.70/0.77 % (7507)Time elapsed: 0.037 s
% 0.70/0.77 % (7507)Instructions burned: 52 (million)
% 0.70/0.77 % (7507)------------------------------
% 0.70/0.77 % (7507)------------------------------
% 0.70/0.77 % (7517)First to succeed.
% 0.70/0.77 % (7516)Also succeeded, but the first one will report.
% 0.70/0.78 % (7517)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7505"
% 0.70/0.78 % (7517)Refutation found. Thanks to Tanya!
% 0.70/0.78 % SZS status Theorem for Vampire---4
% 0.70/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.78 % (7517)------------------------------
% 0.70/0.78 % (7517)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.78 % (7517)Termination reason: Refutation
% 0.70/0.78
% 0.70/0.78 % (7517)Memory used [KB]: 1215
% 0.70/0.78 % (7517)Time elapsed: 0.022 s
% 0.70/0.78 % (7517)Instructions burned: 31 (million)
% 0.70/0.78 % (7505)Success in time 0.409 s
% 0.70/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------