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/sandbox2/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 : Wed May 1 03:31:54 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% 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(f562,plain,
$false,
inference(avatar_sat_refutation,[],[f139,f145,f385,f439,f485,f487,f499,f554,f561]) ).
fof(f561,plain,
( spl8_15
| ~ spl8_23 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f560,plain,
( $false
| spl8_15
| ~ spl8_23 ),
inference(subsumption_resolution,[],[f559,f75]) ).
fof(f75,plain,
aSet0(xS),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox2/tmp/tmp.M7JYk0M6gm/Vampire---4.8_24885',m__617) ).
fof(f559,plain,
( ~ aSet0(xS)
| spl8_15
| ~ spl8_23 ),
inference(subsumption_resolution,[],[f558,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/sandbox2/tmp/tmp.M7JYk0M6gm/Vampire---4.8_24885',m__) ).
fof(f558,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| spl8_15
| ~ spl8_23 ),
inference(subsumption_resolution,[],[f557,f381]) ).
fof(f381,plain,
( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| spl8_15 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl8_15
<=> aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f557,plain,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ spl8_23 ),
inference(subsumption_resolution,[],[f556,f76]) ).
fof(f76,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/tmp.M7JYk0M6gm/Vampire---4.8_24885',m__617_02) ).
fof(f556,plain,
( ~ aElementOf0(xx,xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ spl8_23 ),
inference(superposition,[],[f119,f435]) ).
fof(f435,plain,
( xx = sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_23 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl8_23
<=> xx = sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).
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/sandbox2/tmp/tmp.M7JYk0M6gm/Vampire---4.8_24885',mDefSub) ).
fof(f554,plain,
( spl8_15
| ~ spl8_24 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f553,plain,
( $false
| spl8_15
| ~ spl8_24 ),
inference(subsumption_resolution,[],[f552,f75]) ).
fof(f552,plain,
( ~ aSet0(xS)
| spl8_15
| ~ spl8_24 ),
inference(subsumption_resolution,[],[f551,f82]) ).
fof(f551,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| spl8_15
| ~ spl8_24 ),
inference(subsumption_resolution,[],[f547,f381]) ).
fof(f547,plain,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ spl8_24 ),
inference(resolution,[],[f514,f119]) ).
fof(f514,plain,
( aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ spl8_24 ),
inference(resolution,[],[f438,f79]) ).
fof(f79,plain,
! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xS,xx))
| aElementOf0(X1,xS) ),
inference(cnf_transformation,[],[f52]) ).
fof(f438,plain,
( aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ spl8_24 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl8_24
<=> aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).
fof(f499,plain,
( ~ spl8_2
| spl8_14
| ~ spl8_18 ),
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f498,plain,
( $false
| ~ spl8_2
| spl8_14
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f497,f82]) ).
fof(f497,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_2
| spl8_14
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f496,f75]) ).
fof(f496,plain,
( ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_2
| spl8_14
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f495,f378]) ).
fof(f378,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_14 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl8_14
<=> aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f495,plain,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_2
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f494,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(f494,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,f401]) ).
fof(f401,plain,
( xx = sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f400,plain,
( spl8_18
<=> xx = sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f487,plain,
( spl8_17
| spl8_18
| spl8_14 ),
inference(avatar_split_clause,[],[f486,f377,f400,f397]) ).
fof(f397,plain,
( spl8_17
<=> aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f486,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,[],[f454,f457]) ).
fof(f457,plain,
( aElement0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| spl8_14 ),
inference(subsumption_resolution,[],[f455,f75]) ).
fof(f455,plain,
( aElement0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| ~ aSet0(xS)
| spl8_14 ),
inference(resolution,[],[f442,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/sandbox2/tmp/tmp.M7JYk0M6gm/Vampire---4.8_24885',mEOfElem) ).
fof(f442,plain,
( aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| spl8_14 ),
inference(subsumption_resolution,[],[f441,f82]) ).
fof(f441,plain,
( aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_14 ),
inference(subsumption_resolution,[],[f440,f75]) ).
fof(f440,plain,
( aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_14 ),
inference(resolution,[],[f378,f118]) ).
fof(f118,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK6(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f454,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,[],[f442,f81]) ).
fof(f81,plain,
! [X1] :
( ~ aElementOf0(X1,xS)
| xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f485,plain,
( spl8_14
| ~ spl8_17 ),
inference(avatar_contradiction_clause,[],[f484]) ).
fof(f484,plain,
( $false
| spl8_14
| ~ spl8_17 ),
inference(subsumption_resolution,[],[f483,f82]) ).
fof(f483,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_14
| ~ spl8_17 ),
inference(subsumption_resolution,[],[f482,f75]) ).
fof(f482,plain,
( ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_14
| ~ spl8_17 ),
inference(subsumption_resolution,[],[f477,f378]) ).
fof(f477,plain,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_17 ),
inference(resolution,[],[f460,f119]) ).
fof(f460,plain,
( aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl8_17 ),
inference(resolution,[],[f398,f310]) ).
fof(f310,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(f398,plain,
( aElementOf0(sK6(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx))
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f439,plain,
( spl8_23
| spl8_24
| spl8_15 ),
inference(avatar_split_clause,[],[f429,f380,f437,f434]) ).
fof(f429,plain,
( aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| xx = sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_15 ),
inference(resolution,[],[f408,f84]) ).
fof(f84,plain,
! [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f408,plain,
( aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| spl8_15 ),
inference(subsumption_resolution,[],[f407,f75]) ).
fof(f407,plain,
( aElementOf0(sK6(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| spl8_15 ),
inference(subsumption_resolution,[],[f406,f82]) ).
fof(f406,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,[],[f381,f118]) ).
fof(f385,plain,
( ~ spl8_15
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f384,f377,f380]) ).
fof(f384,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(subsumption_resolution,[],[f383,f82]) ).
fof(f383,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(subsumption_resolution,[],[f367,f75]) ).
fof(f367,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/sandbox2/tmp/tmp.M7JYk0M6gm/Vampire---4.8_24885',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
% 0.00/0.09 % Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % 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
% 0.10/0.30 % Computer : n024.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 16:54:06 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.30 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.M7JYk0M6gm/Vampire---4.8_24885
% 0.54/0.77 % (24998)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.54/0.77 % (24996)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 (2995ds/34Mi)
% 0.54/0.77 % (25001)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.54/0.77 % (25000)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 (2995ds/34Mi)
% 0.54/0.77 % (24999)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.54/0.77 % (24997)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 (2995ds/51Mi)
% 0.54/0.77 % (25003)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 (2995ds/56Mi)
% 0.54/0.77 % (25002)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 (2995ds/83Mi)
% 0.54/0.77 % (25003)Refutation not found, incomplete strategy% (25003)------------------------------
% 0.54/0.77 % (25003)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.77 % (25003)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77
% 0.54/0.77 % (25003)Memory used [KB]: 1058
% 0.54/0.77 % (25003)Time elapsed: 0.004 s
% 0.54/0.77 % (25003)Instructions burned: 4 (million)
% 0.54/0.77 % (25003)------------------------------
% 0.54/0.77 % (25003)------------------------------
% 0.54/0.78 % (25004)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 (2995ds/55Mi)
% 0.60/0.79 % (24999)Instruction limit reached!
% 0.60/0.79 % (24999)------------------------------
% 0.60/0.79 % (24999)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (24999)Termination reason: Unknown
% 0.60/0.79 % (24999)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (24999)Memory used [KB]: 1509
% 0.60/0.79 % (24999)Time elapsed: 0.020 s
% 0.60/0.79 % (24999)Instructions burned: 34 (million)
% 0.60/0.79 % (24999)------------------------------
% 0.60/0.79 % (24999)------------------------------
% 0.60/0.79 % (24996)Instruction limit reached!
% 0.60/0.79 % (24996)------------------------------
% 0.60/0.79 % (24996)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (24996)Termination reason: Unknown
% 0.60/0.79 % (24996)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (24996)Memory used [KB]: 1302
% 0.60/0.79 % (24996)Time elapsed: 0.021 s
% 0.60/0.79 % (24996)Instructions burned: 35 (million)
% 0.60/0.79 % (24996)------------------------------
% 0.60/0.79 % (24996)------------------------------
% 0.60/0.79 % (25000)Instruction limit reached!
% 0.60/0.79 % (25000)------------------------------
% 0.60/0.79 % (25000)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (25000)Termination reason: Unknown
% 0.60/0.79 % (25000)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (25000)Memory used [KB]: 1447
% 0.60/0.79 % (25000)Time elapsed: 0.021 s
% 0.60/0.79 % (25000)Instructions burned: 35 (million)
% 0.60/0.79 % (25000)------------------------------
% 0.60/0.79 % (25000)------------------------------
% 0.60/0.79 % (25005)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 (2995ds/50Mi)
% 0.60/0.79 % (25006)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 (2995ds/208Mi)
% 0.60/0.79 % (25007)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 (2995ds/52Mi)
% 0.60/0.79 % (25001)Instruction limit reached!
% 0.60/0.79 % (25001)------------------------------
% 0.60/0.79 % (25001)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (25001)Termination reason: Unknown
% 0.60/0.79 % (25001)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (25001)Memory used [KB]: 1443
% 0.60/0.79 % (25001)Time elapsed: 0.025 s
% 0.60/0.79 % (25001)Instructions burned: 45 (million)
% 0.60/0.79 % (25001)------------------------------
% 0.60/0.79 % (25001)------------------------------
% 0.60/0.80 % (25008)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 (2995ds/518Mi)
% 0.60/0.80 % (24997)Instruction limit reached!
% 0.60/0.80 % (24997)------------------------------
% 0.60/0.80 % (24997)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (24997)Termination reason: Unknown
% 0.60/0.80 % (24997)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (24997)Memory used [KB]: 1720
% 0.60/0.80 % (24997)Time elapsed: 0.031 s
% 0.60/0.80 % (24997)Instructions burned: 51 (million)
% 0.60/0.80 % (24997)------------------------------
% 0.60/0.80 % (24997)------------------------------
% 0.60/0.80 % (25009)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 (2995ds/42Mi)
% 0.60/0.80 % (25004)Instruction limit reached!
% 0.60/0.80 % (25004)------------------------------
% 0.60/0.80 % (25004)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (25004)Termination reason: Unknown
% 0.60/0.80 % (25004)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (25004)Memory used [KB]: 1818
% 0.60/0.80 % (25004)Time elapsed: 0.028 s
% 0.60/0.80 % (25004)Instructions burned: 57 (million)
% 0.60/0.80 % (25004)------------------------------
% 0.60/0.80 % (25004)------------------------------
% 0.60/0.81 % (25007)First to succeed.
% 0.60/0.81 % (25007)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (25007)------------------------------
% 0.60/0.81 % (25007)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (25007)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (25007)Memory used [KB]: 1200
% 0.60/0.81 % (25007)Time elapsed: 0.017 s
% 0.60/0.81 % (25007)Instructions burned: 28 (million)
% 0.60/0.81 % (25007)------------------------------
% 0.60/0.81 % (25007)------------------------------
% 0.60/0.81 % (24993)Success in time 0.497 s
% 0.60/0.81 % Exception at proof search level
% 0.60/0.81 System fail: Cannot decrease semaphore. error 22: Invalid argument
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------