TSTP Solution File: RNG106+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG106+1 : 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 : n016.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 03:41:55 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 85 ( 6 unt; 0 def)
% Number of atoms : 411 ( 71 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 489 ( 163 ~; 160 |; 127 &)
% ( 16 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-3 aty)
% Number of variables : 140 ( 99 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f231,plain,
$false,
inference(avatar_sat_refutation,[],[f151,f158,f162,f176,f185,f190,f195,f196,f201,f217,f224,f228]) ).
fof(f228,plain,
( ~ spl11_1
| ~ spl11_6 ),
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| ~ spl11_1
| ~ spl11_6 ),
inference(resolution,[],[f147,f175]) ).
fof(f175,plain,
( aElementOf0(sK2(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl11_6
<=> aElementOf0(sK2(slsdtgt0(xc)),slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f147,plain,
( ! [X1] : ~ aElementOf0(X1,slsdtgt0(xc))
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl11_1
<=> ! [X1] : ~ aElementOf0(X1,slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f224,plain,
( ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| spl11_10 ),
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| spl11_10 ),
inference(subsumption_resolution,[],[f222,f184]) ).
fof(f184,plain,
( aElement0(sK3(slsdtgt0(xc)))
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl11_8
<=> aElement0(sK3(slsdtgt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f222,plain,
( ~ aElement0(sK3(slsdtgt0(xc)))
| ~ spl11_2
| ~ spl11_6
| spl11_10 ),
inference(subsumption_resolution,[],[f221,f175]) ).
fof(f221,plain,
( ~ aElementOf0(sK2(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElement0(sK3(slsdtgt0(xc)))
| ~ spl11_2
| spl11_10 ),
inference(resolution,[],[f194,f150]) ).
fof(f150,plain,
( ! [X2,X0] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElement0(X2) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl11_2
<=> ! [X2,X0] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f194,plain,
( ~ aElementOf0(sdtasdt0(sK3(slsdtgt0(xc)),sK2(slsdtgt0(xc))),slsdtgt0(xc))
| spl11_10 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl11_10
<=> aElementOf0(sdtasdt0(sK3(slsdtgt0(xc)),sK2(slsdtgt0(xc))),slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f217,plain,
( ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| spl11_9 ),
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f216,plain,
( $false
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| spl11_9 ),
inference(subsumption_resolution,[],[f215,f180]) ).
fof(f180,plain,
( aElementOf0(sK4(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl11_7
<=> aElementOf0(sK4(slsdtgt0(xc)),slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f215,plain,
( ~ aElementOf0(sK4(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl11_4
| ~ spl11_6
| spl11_9 ),
inference(subsumption_resolution,[],[f214,f175]) ).
fof(f214,plain,
( ~ aElementOf0(sK2(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(sK4(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl11_4
| spl11_9 ),
inference(resolution,[],[f189,f157]) ).
fof(f157,plain,
( ! [X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc)) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl11_4
<=> ! [X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f189,plain,
( ~ aElementOf0(sdtpldt0(sK2(slsdtgt0(xc)),sK4(slsdtgt0(xc))),slsdtgt0(xc))
| spl11_9 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl11_9
<=> aElementOf0(sdtpldt0(sK2(slsdtgt0(xc)),sK4(slsdtgt0(xc))),slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f201,plain,
spl11_5,
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f200,plain,
( $false
| spl11_5 ),
inference(subsumption_resolution,[],[f199,f85]) ).
fof(f85,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox/tmp/tmp.OK97lRF47T/Vampire---4.8_14815',m__1905) ).
fof(f199,plain,
( ~ aElement0(xc)
| spl11_5 ),
inference(resolution,[],[f171,f124]) ).
fof(f124,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( aSet0(X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK5(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK5(X0,X1),X1) )
& ( ( sK5(X0,X1) = sdtasdt0(X0,sK6(X0,X1))
& aElement0(sK6(X0,X1)) )
| aElementOf0(sK5(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(X0,sK7(X0,X5)) = X5
& aElement0(sK7(X0,X5)) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f77,f80,f79,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK5(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK5(X0,X1),X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = sK5(X0,X1)
& aElement0(X4) )
| aElementOf0(sK5(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0,X1] :
( ? [X4] :
( sdtasdt0(X0,X4) = sK5(X0,X1)
& aElement0(X4) )
=> ( sK5(X0,X1) = sdtasdt0(X0,sK6(X0,X1))
& aElement0(sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X5] :
( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(X0,sK7(X0,X5)) = X5
& aElement0(sK7(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OK97lRF47T/Vampire---4.8_14815',mDefPrIdeal) ).
fof(f171,plain,
( ~ aSet0(slsdtgt0(xc))
| spl11_5 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl11_5
<=> aSet0(slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f196,plain,
( ~ spl11_5
| ~ spl11_9
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f167,f192,f187,f169]) ).
fof(f167,plain,
( ~ aElementOf0(sdtasdt0(sK3(slsdtgt0(xc)),sK2(slsdtgt0(xc))),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(sK2(slsdtgt0(xc)),sK4(slsdtgt0(xc))),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[],[f94,f104]) ).
fof(f104,plain,
! [X0] :
( aIdeal0(X0)
| ~ aElementOf0(sdtasdt0(sK3(X0),sK2(X0)),X0)
| ~ aElementOf0(sdtpldt0(sK2(X0),sK4(X0)),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( aIdeal0(X0)
| ( ( ( ~ aElementOf0(sdtasdt0(sK3(X0),sK2(X0)),X0)
& aElement0(sK3(X0)) )
| ( ~ aElementOf0(sdtpldt0(sK2(X0),sK4(X0)),X0)
& aElementOf0(sK4(X0),X0) ) )
& aElementOf0(sK2(X0),X0) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f57,f73,f72,f71]) ).
fof(f71,plain,
! [X0] :
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
=> ( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK2(X0)),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(sK2(X0),X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(sK2(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK2(X0)),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK3(X0),sK2(X0)),X0)
& aElement0(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(sK2(X0),X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK2(X0),sK4(X0)),X0)
& aElementOf0(sK4(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) )
=> aIdeal0(X0) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
fof(f42,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.OK97lRF47T/Vampire---4.8_14815',mDefIdeal) ).
fof(f94,plain,
~ aIdeal0(slsdtgt0(xc)),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( ( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(sK0(X0,X1,X2),X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(sK0(X0,X1,X2),sK1(X0,X1,X2)))
& sdtasdt0(xc,sK1(X0,X1,X2)) = X1
& aElement0(sK1(X0,X1,X2))
& sdtasdt0(xc,sK0(X0,X1,X2)) = X0
& aElement0(sK0(X0,X1,X2)) )
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f47,f69,f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) )
=> ( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(sK0(X0,X1,X2),X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(sK0(X0,X1,X2),X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,sK0(X0,X1,X2)) = X0
& aElement0(sK0(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(sK0(X0,X1,X2),X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(sK0(X0,X1,X2),X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
=> ( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(sK0(X0,X1,X2),X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(sK0(X0,X1,X2),sK1(X0,X1,X2)))
& sdtasdt0(xc,sK1(X0,X1,X2)) = X1
& aElement0(sK1(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) )
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) )
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ( ! [X0,X1,X2] :
( ( aElement0(X2)
& aElementOf0(X1,slsdtgt0(xc))
& aElementOf0(X0,slsdtgt0(xc)) )
=> ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) ) )
=> aIdeal0(slsdtgt0(xc)) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
( ! [X0,X1,X2] :
( ( aElement0(X2)
& aElementOf0(X1,slsdtgt0(xc))
& aElementOf0(X0,slsdtgt0(xc)) )
=> ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) ) )
=> aIdeal0(slsdtgt0(xc)) ),
file('/export/starexec/sandbox/tmp/tmp.OK97lRF47T/Vampire---4.8_14815',m__) ).
fof(f195,plain,
( ~ spl11_5
| spl11_7
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f166,f192,f178,f169]) ).
fof(f166,plain,
( ~ aElementOf0(sdtasdt0(sK3(slsdtgt0(xc)),sK2(slsdtgt0(xc))),slsdtgt0(xc))
| aElementOf0(sK4(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[],[f94,f103]) ).
fof(f103,plain,
! [X0] :
( aIdeal0(X0)
| ~ aElementOf0(sdtasdt0(sK3(X0),sK2(X0)),X0)
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f190,plain,
( ~ spl11_5
| ~ spl11_9
| spl11_8 ),
inference(avatar_split_clause,[],[f165,f182,f187,f169]) ).
fof(f165,plain,
( aElement0(sK3(slsdtgt0(xc)))
| ~ aElementOf0(sdtpldt0(sK2(slsdtgt0(xc)),sK4(slsdtgt0(xc))),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[],[f94,f102]) ).
fof(f102,plain,
! [X0] :
( aIdeal0(X0)
| aElement0(sK3(X0))
| ~ aElementOf0(sdtpldt0(sK2(X0),sK4(X0)),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f185,plain,
( ~ spl11_5
| spl11_7
| spl11_8 ),
inference(avatar_split_clause,[],[f164,f182,f178,f169]) ).
fof(f164,plain,
( aElement0(sK3(slsdtgt0(xc)))
| aElementOf0(sK4(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[],[f94,f101]) ).
fof(f101,plain,
! [X0] :
( aIdeal0(X0)
| aElement0(sK3(X0))
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f176,plain,
( ~ spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f163,f173,f169]) ).
fof(f163,plain,
( aElementOf0(sK2(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[],[f94,f100]) ).
fof(f100,plain,
! [X0] :
( aIdeal0(X0)
| aElementOf0(sK2(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f162,plain,
~ spl11_3,
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f161,plain,
( $false
| ~ spl11_3 ),
inference(resolution,[],[f85,f154]) ).
fof(f154,plain,
( ! [X2] : ~ aElement0(X2)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl11_3
<=> ! [X2] : ~ aElement0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f158,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f92,f156,f153]) ).
fof(f92,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f151,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f93,f149,f146]) ).
fof(f93,plain,
! [X2,X0,X1] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : RNG106+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % 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
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 18:08:56 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.OK97lRF47T/Vampire---4.8_14815
% 0.60/0.80 % (14931)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)
% 0.60/0.80 % (14929)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)
% 0.60/0.80 % (14926)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)
% 0.60/0.80 % (14930)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)
% 0.60/0.80 % (14928)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (14932)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)
% 0.60/0.80 % (14927)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)
% 0.60/0.80 % (14933)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)
% 0.60/0.81 % (14933)First to succeed.
% 0.60/0.81 % (14931)Also succeeded, but the first one will report.
% 0.60/0.81 % (14926)Also succeeded, but the first one will report.
% 0.60/0.81 % (14933)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 % (14933)------------------------------
% 0.60/0.81 % (14933)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (14933)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (14933)Memory used [KB]: 1109
% 0.60/0.81 % (14933)Time elapsed: 0.006 s
% 0.60/0.81 % (14933)Instructions burned: 9 (million)
% 0.60/0.81 % (14933)------------------------------
% 0.60/0.81 % (14933)------------------------------
% 0.60/0.81 % (14924)Success in time 0.481 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------