TSTP Solution File: RNG093+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG093+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.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 Aug 31 18:14:55 EDT 2022
% Result : Theorem 1.31s 0.54s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 73 ( 4 unt; 0 def)
% Number of atoms : 305 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 344 ( 112 ~; 99 |; 93 &)
% ( 13 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 75 ( 53 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f257,plain,
$false,
inference(avatar_sat_refutation,[],[f151,f156,f161,f162,f178,f220,f232,f236,f243,f256]) ).
fof(f256,plain,
( ~ spl9_2
| spl9_6 ),
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| ~ spl9_2
| spl9_6 ),
inference(subsumption_resolution,[],[f254,f245]) ).
fof(f245,plain,
( aElementOf0(sK2,xJ)
| ~ spl9_2 ),
inference(resolution,[],[f150,f97]) ).
fof(f97,plain,
! [X3] :
( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( aSet0(sdtasasdt0(xI,xJ))
& ( ( ~ aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ))
& aElement0(sK1) )
| ( aElementOf0(sK2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ)) ) )
& aElementOf0(sK0,sdtasasdt0(xI,xJ))
& ! [X3] :
( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X3,xJ) )
& ( ( aElementOf0(X3,xI)
& aElementOf0(X3,xJ) )
| ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
& ~ aIdeal0(sdtasasdt0(xI,xJ)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f67,f70,f69,f68]) ).
fof(f68,plain,
( ? [X0] :
( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))
& aElement0(X1) )
| ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X0,sdtasasdt0(xI,xJ)) )
=> ( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,sK0),sdtasasdt0(xI,xJ))
& aElement0(X1) )
| ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(sK0,X2),sdtasasdt0(xI,xJ)) ) )
& aElementOf0(sK0,sdtasasdt0(xI,xJ)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,sK0),sdtasasdt0(xI,xJ))
& aElement0(X1) )
=> ( ~ aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ))
& aElement0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(sK0,X2),sdtasasdt0(xI,xJ)) )
=> ( aElementOf0(sK2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( aSet0(sdtasasdt0(xI,xJ))
& ? [X0] :
( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))
& aElement0(X1) )
| ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X0,sdtasasdt0(xI,xJ)) )
& ! [X3] :
( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X3,xJ) )
& ( ( aElementOf0(X3,xI)
& aElementOf0(X3,xJ) )
| ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
& ~ aIdeal0(sdtasasdt0(xI,xJ)) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
( aSet0(sdtasasdt0(xI,xJ))
& ? [X1] :
( ( ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) )
| ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ! [X0] :
( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X0,xJ) )
& ( ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) )
| ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) )
& ~ aIdeal0(sdtasasdt0(xI,xJ)) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
( aSet0(sdtasasdt0(xI,xJ))
& ? [X1] :
( ( ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) )
| ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ! [X0] :
( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X0,xJ) )
& ( ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) )
| ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) )
& ~ aIdeal0(sdtasasdt0(xI,xJ)) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( aSet0(sdtasasdt0(xI,xJ))
& ? [X1] :
( ( ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) )
| ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) )
& ~ aIdeal0(sdtasasdt0(xI,xJ)) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
( ~ aIdeal0(sdtasasdt0(xI,xJ))
& ? [X1] :
( ( ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) )
| ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) )
& aSet0(sdtasasdt0(xI,xJ)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) )
& aSet0(sdtasasdt0(xI,xJ)) )
=> ( aIdeal0(sdtasasdt0(xI,xJ))
| ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> ( ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ)) )
& ! [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) ) ) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) )
& aSet0(sdtasasdt0(xI,xJ)) )
=> ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
=> ( ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) ) ) )
| aIdeal0(sdtasasdt0(xI,xJ)) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) )
& aSet0(sdtasasdt0(xI,xJ)) )
=> ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
=> ( ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) ) ) )
| aIdeal0(sdtasasdt0(xI,xJ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f150,plain,
( aElementOf0(sK2,sdtasasdt0(xI,xJ))
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl9_2
<=> aElementOf0(sK2,sdtasasdt0(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f254,plain,
( ~ aElementOf0(sK2,xJ)
| spl9_6 ),
inference(subsumption_resolution,[],[f253,f163]) ).
fof(f163,plain,
aElementOf0(sK0,xJ),
inference(resolution,[],[f97,f100]) ).
fof(f100,plain,
aElementOf0(sK0,sdtasasdt0(xI,xJ)),
inference(cnf_transformation,[],[f71]) ).
fof(f253,plain,
( ~ aElementOf0(sK0,xJ)
| ~ aElementOf0(sK2,xJ)
| spl9_6 ),
inference(resolution,[],[f177,f123]) ).
fof(f123,plain,
! [X3,X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X4,xJ) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( aIdeal0(xJ)
& aSet0(xJ)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtasdt0(X1,X0),xI)
| ~ aElement0(X1) )
& ! [X2] :
( ~ aElementOf0(X2,xI)
| aElementOf0(sdtpldt0(X0,X2),xI) ) )
| ~ aElementOf0(X0,xI) )
& aSet0(xI)
& ! [X3] :
( ~ aElementOf0(X3,xJ)
| ( ! [X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X4,xJ) )
& ! [X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5) ) ) )
& aIdeal0(xI) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
( aIdeal0(xJ)
& aSet0(xJ)
& ! [X3] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X3),xI)
| ~ aElement0(X5) )
& ! [X4] :
( ~ aElementOf0(X4,xI)
| aElementOf0(sdtpldt0(X3,X4),xI) ) )
| ~ aElementOf0(X3,xI) )
& aSet0(xI)
& ! [X0] :
( ~ aElementOf0(X0,xJ)
| ( ! [X2] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ) )
& ! [X1] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1) ) ) )
& aIdeal0(xI) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
( aSet0(xJ)
& aSet0(xI)
& aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
& ! [X3] :
( aElementOf0(X3,xI)
=> ( ! [X5] :
( aElement0(X5)
=> aElementOf0(sdtasdt0(X5,X3),xI) )
& ! [X4] :
( aElementOf0(X4,xI)
=> aElementOf0(sdtpldt0(X3,X4),xI) ) ) )
& aIdeal0(xI) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& aIdeal0(xJ)
& aSet0(xJ)
& aIdeal0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1150) ).
fof(f177,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK2),xJ)
| spl9_6 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl9_6
<=> aElementOf0(sdtpldt0(sK0,sK2),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f243,plain,
( ~ spl9_1
| spl9_8 ),
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| ~ spl9_1
| spl9_8 ),
inference(subsumption_resolution,[],[f241,f163]) ).
fof(f241,plain,
( ~ aElementOf0(sK0,xJ)
| ~ spl9_1
| spl9_8 ),
inference(subsumption_resolution,[],[f240,f146]) ).
fof(f146,plain,
( aElement0(sK1)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl9_1
<=> aElement0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f240,plain,
( ~ aElement0(sK1)
| ~ aElementOf0(sK0,xJ)
| spl9_8 ),
inference(resolution,[],[f231,f122]) ).
fof(f122,plain,
! [X3,X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5)
| ~ aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f85]) ).
fof(f231,plain,
( ~ aElementOf0(sdtasdt0(sK1,sK0),xJ)
| spl9_8 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f229,plain,
( spl9_8
<=> aElementOf0(sdtasdt0(sK1,sK0),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f236,plain,
( ~ spl9_1
| spl9_7 ),
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f235,plain,
( $false
| ~ spl9_1
| spl9_7 ),
inference(subsumption_resolution,[],[f234,f165]) ).
fof(f165,plain,
aElementOf0(sK0,xI),
inference(resolution,[],[f98,f100]) ).
fof(f98,plain,
! [X3] :
( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f71]) ).
fof(f234,plain,
( ~ aElementOf0(sK0,xI)
| ~ spl9_1
| spl9_7 ),
inference(subsumption_resolution,[],[f233,f146]) ).
fof(f233,plain,
( ~ aElement0(sK1)
| ~ aElementOf0(sK0,xI)
| spl9_7 ),
inference(resolution,[],[f227,f126]) ).
fof(f126,plain,
! [X0,X1] :
( aElementOf0(sdtasdt0(X1,X0),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f85]) ).
fof(f227,plain,
( ~ aElementOf0(sdtasdt0(sK1,sK0),xI)
| spl9_7 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl9_7
<=> aElementOf0(sdtasdt0(sK1,sK0),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f232,plain,
( ~ spl9_7
| ~ spl9_8
| spl9_3 ),
inference(avatar_split_clause,[],[f223,f153,f229,f225]) ).
fof(f153,plain,
( spl9_3
<=> aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f223,plain,
( ~ aElementOf0(sdtasdt0(sK1,sK0),xJ)
| ~ aElementOf0(sdtasdt0(sK1,sK0),xI)
| spl9_3 ),
inference(resolution,[],[f155,f99]) ).
fof(f99,plain,
! [X3] :
( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f71]) ).
fof(f155,plain,
( ~ aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ))
| spl9_3 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f220,plain,
( ~ spl9_2
| spl9_5 ),
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| ~ spl9_2
| spl9_5 ),
inference(subsumption_resolution,[],[f218,f166]) ).
fof(f166,plain,
( aElementOf0(sK2,xI)
| ~ spl9_2 ),
inference(resolution,[],[f98,f150]) ).
fof(f218,plain,
( ~ aElementOf0(sK2,xI)
| spl9_5 ),
inference(subsumption_resolution,[],[f216,f165]) ).
fof(f216,plain,
( ~ aElementOf0(sK0,xI)
| ~ aElementOf0(sK2,xI)
| spl9_5 ),
inference(resolution,[],[f125,f173]) ).
fof(f173,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK2),xI)
| spl9_5 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl9_5
<=> aElementOf0(sdtpldt0(sK0,sK2),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f125,plain,
! [X2,X0] :
( aElementOf0(sdtpldt0(X0,X2),xI)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X2,xI) ),
inference(cnf_transformation,[],[f85]) ).
fof(f178,plain,
( ~ spl9_5
| ~ spl9_6
| spl9_4 ),
inference(avatar_split_clause,[],[f167,f158,f175,f171]) ).
fof(f158,plain,
( spl9_4
<=> aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f167,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK2),xJ)
| ~ aElementOf0(sdtpldt0(sK0,sK2),xI)
| spl9_4 ),
inference(resolution,[],[f99,f160]) ).
fof(f160,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ))
| spl9_4 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,plain,
( ~ spl9_4
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f103,f153,f158]) ).
fof(f103,plain,
( ~ aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f161,plain,
( spl9_1
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f101,f158,f144]) ).
fof(f101,plain,
( ~ aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ))
| aElement0(sK1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f156,plain,
( spl9_2
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f104,f153,f148]) ).
fof(f104,plain,
( ~ aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ))
| aElementOf0(sK2,sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f151,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f102,f148,f144]) ).
fof(f102,plain,
( aElementOf0(sK2,sdtasasdt0(xI,xJ))
| aElement0(sK1) ),
inference(cnf_transformation,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG093+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 12:16:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (12779)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51 % (12778)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.51 % (12782)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51 % (12790)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.52 % (12791)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (12804)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.52 % (12787)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.52 % (12792)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.31/0.52 % (12792)Instruction limit reached!
% 1.31/0.52 % (12792)------------------------------
% 1.31/0.52 % (12792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52 % (12792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52 % (12792)Termination reason: Unknown
% 1.31/0.52 % (12792)Termination phase: Saturation
% 1.31/0.52
% 1.31/0.52 % (12792)Memory used [KB]: 1535
% 1.31/0.52 % (12792)Time elapsed: 0.003 s
% 1.31/0.52 % (12792)Instructions burned: 4 (million)
% 1.31/0.52 % (12792)------------------------------
% 1.31/0.52 % (12792)------------------------------
% 1.31/0.52 % (12793)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.31/0.53 % (12794)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.53 % (12779)Instruction limit reached!
% 1.31/0.53 % (12779)------------------------------
% 1.31/0.53 % (12779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (12799)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.31/0.53 % (12779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (12779)Termination reason: Unknown
% 1.31/0.53 % (12779)Termination phase: Saturation
% 1.31/0.53
% 1.31/0.53 % (12779)Memory used [KB]: 6268
% 1.31/0.53 % (12779)Time elapsed: 0.108 s
% 1.31/0.53 % (12779)Instructions burned: 13 (million)
% 1.31/0.53 % (12779)------------------------------
% 1.31/0.53 % (12779)------------------------------
% 1.31/0.53 % (12784)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.31/0.53 % (12780)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.31/0.53 % (12783)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.31/0.53 % (12782)First to succeed.
% 1.31/0.54 % (12780)Instruction limit reached!
% 1.31/0.54 % (12780)------------------------------
% 1.31/0.54 % (12780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54 % (12780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54 % (12780)Termination reason: Unknown
% 1.31/0.54 % (12780)Termination phase: Saturation
% 1.31/0.54
% 1.31/0.54 % (12780)Memory used [KB]: 1535
% 1.31/0.54 % (12780)Time elapsed: 0.003 s
% 1.31/0.54 % (12780)Instructions burned: 4 (million)
% 1.31/0.54 % (12780)------------------------------
% 1.31/0.54 % (12780)------------------------------
% 1.31/0.54 % (12782)Refutation found. Thanks to Tanya!
% 1.31/0.54 % SZS status Theorem for theBenchmark
% 1.31/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.54 % (12782)------------------------------
% 1.31/0.54 % (12782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54 % (12782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54 % (12782)Termination reason: Refutation
% 1.31/0.54
% 1.31/0.54 % (12782)Memory used [KB]: 6140
% 1.31/0.54 % (12782)Time elapsed: 0.132 s
% 1.31/0.54 % (12782)Instructions burned: 6 (million)
% 1.31/0.54 % (12782)------------------------------
% 1.31/0.54 % (12782)------------------------------
% 1.31/0.54 % (12772)Success in time 0.178 s
%------------------------------------------------------------------------------