TSTP Solution File: RNG118+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG118+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 : n021.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 08:54:22 EDT 2024
% Result : Theorem 0.92s 0.91s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 90 ( 12 unt; 0 def)
% Number of atoms : 374 ( 62 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 465 ( 181 ~; 184 |; 76 &)
% ( 9 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 104 ( 76 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4947,plain,
$false,
inference(avatar_sat_refutation,[],[f266,f267,f303,f4366,f4371,f4420,f4911]) ).
fof(f4911,plain,
( ~ spl23_6
| ~ spl23_7
| ~ spl23_48
| spl23_50 ),
inference(avatar_contradiction_clause,[],[f4910]) ).
fof(f4910,plain,
( $false
| ~ spl23_6
| ~ spl23_7
| ~ spl23_48
| spl23_50 ),
inference(subsumption_resolution,[],[f4890,f4356]) ).
fof(f4356,plain,
( aElement0(sK19(xb,xu))
| ~ spl23_48 ),
inference(avatar_component_clause,[],[f4355]) ).
fof(f4355,plain,
( spl23_48
<=> aElement0(sK19(xb,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_48])]) ).
fof(f4890,plain,
( ~ aElement0(sK19(xb,xu))
| ~ spl23_6
| ~ spl23_7
| spl23_50 ),
inference(trivial_inequality_removal,[],[f4872]) ).
fof(f4872,plain,
( xb != xb
| ~ aElement0(sK19(xb,xu))
| ~ spl23_6
| ~ spl23_7
| spl23_50 ),
inference(superposition,[],[f265,f4486]) ).
fof(f4486,plain,
( xb = sdtpldt0(sdtasdt0(sK19(xb,xu),xu),sz00)
| ~ spl23_7
| spl23_50 ),
inference(subsumption_resolution,[],[f4485,f142]) ).
fof(f142,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/tmp/tmp.BBewbZLWph/Vampire---4.8_23942',m__2091) ).
fof(f4485,plain,
( xb = sdtpldt0(sdtasdt0(sK19(xb,xu),xu),sz00)
| ~ aElement0(xb)
| ~ spl23_7
| spl23_50 ),
inference(subsumption_resolution,[],[f4484,f276]) ).
fof(f276,plain,
( aElement0(xu)
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl23_7
<=> aElement0(xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f4484,plain,
( xb = sdtpldt0(sdtasdt0(sK19(xb,xu),xu),sz00)
| ~ aElement0(xu)
| ~ aElement0(xb)
| ~ spl23_7
| spl23_50 ),
inference(subsumption_resolution,[],[f4482,f154]) ).
fof(f154,plain,
sz00 != xu,
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox/tmp/tmp.BBewbZLWph/Vampire---4.8_23942',m__2273) ).
fof(f4482,plain,
( xb = sdtpldt0(sdtasdt0(sK19(xb,xu),xu),sz00)
| sz00 = xu
| ~ aElement0(xu)
| ~ aElement0(xb)
| ~ spl23_7
| spl23_50 ),
inference(superposition,[],[f214,f4476]) ).
fof(f4476,plain,
( sz00 = sK20(xb,xu)
| ~ spl23_7
| spl23_50 ),
inference(subsumption_resolution,[],[f4475,f142]) ).
fof(f4475,plain,
( sz00 = sK20(xb,xu)
| ~ aElement0(xb)
| ~ spl23_7
| spl23_50 ),
inference(resolution,[],[f4365,f1788]) ).
fof(f1788,plain,
( ! [X0] :
( iLess0(sbrdtbr0(sK20(X0,xu)),sF22)
| sz00 = sK20(X0,xu)
| ~ aElement0(X0) )
| ~ spl23_7 ),
inference(subsumption_resolution,[],[f1787,f276]) ).
fof(f1787,plain,
! [X0] :
( iLess0(sbrdtbr0(sK20(X0,xu)),sF22)
| sz00 = sK20(X0,xu)
| ~ aElement0(xu)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f1786,f154]) ).
fof(f1786,plain,
! [X0] :
( iLess0(sbrdtbr0(sK20(X0,xu)),sF22)
| sz00 = sK20(X0,xu)
| sz00 = xu
| ~ aElement0(xu)
| ~ aElement0(X0) ),
inference(superposition,[],[f215,f237]) ).
fof(f237,plain,
sbrdtbr0(xu) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f215,plain,
! [X0,X1] :
( iLess0(sbrdtbr0(sK20(X0,X1)),sbrdtbr0(X1))
| sz00 = sK20(X0,X1)
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( ( iLess0(sbrdtbr0(sK20(X0,X1)),sbrdtbr0(X1))
| sz00 = sK20(X0,X1) )
& sdtpldt0(sdtasdt0(sK19(X0,X1),X1),sK20(X0,X1)) = X0
& aElement0(sK20(X0,X1))
& aElement0(sK19(X0,X1)) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f82,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
=> ( ( iLess0(sbrdtbr0(sK20(X0,X1)),sbrdtbr0(X1))
| sz00 = sK20(X0,X1) )
& sdtpldt0(sdtasdt0(sK19(X0,X1),X1),sK20(X0,X1)) = X0
& aElement0(sK20(X0,X1))
& aElement0(sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) )
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( sz00 != X1
& aElement0(X1)
& aElement0(X0) )
=> ? [X2,X3] :
( ( sz00 != X3
=> iLess0(sbrdtbr0(X3),sbrdtbr0(X1)) )
& sdtpldt0(sdtasdt0(X2,X1),X3) = X0
& aElement0(X3)
& aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.BBewbZLWph/Vampire---4.8_23942',mDivision) ).
fof(f4365,plain,
( ~ iLess0(sbrdtbr0(sK20(xb,xu)),sF22)
| spl23_50 ),
inference(avatar_component_clause,[],[f4363]) ).
fof(f4363,plain,
( spl23_50
<=> iLess0(sbrdtbr0(sK20(xb,xu)),sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_50])]) ).
fof(f214,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(sK19(X0,X1),X1),sK20(X0,X1)) = X0
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f265,plain,
( ! [X0] :
( xb != sdtpldt0(sdtasdt0(X0,xu),sz00)
| ~ aElement0(X0) )
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl23_6
<=> ! [X0] :
( xb != sdtpldt0(sdtasdt0(X0,xu),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f4420,plain,
( ~ spl23_7
| spl23_49 ),
inference(avatar_contradiction_clause,[],[f4419]) ).
fof(f4419,plain,
( $false
| ~ spl23_7
| spl23_49 ),
inference(subsumption_resolution,[],[f4418,f142]) ).
fof(f4418,plain,
( ~ aElement0(xb)
| ~ spl23_7
| spl23_49 ),
inference(subsumption_resolution,[],[f4417,f276]) ).
fof(f4417,plain,
( ~ aElement0(xu)
| ~ aElement0(xb)
| spl23_49 ),
inference(subsumption_resolution,[],[f4416,f154]) ).
fof(f4416,plain,
( sz00 = xu
| ~ aElement0(xu)
| ~ aElement0(xb)
| spl23_49 ),
inference(resolution,[],[f4361,f213]) ).
fof(f213,plain,
! [X0,X1] :
( aElement0(sK20(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f4361,plain,
( ~ aElement0(sK20(xb,xu))
| spl23_49 ),
inference(avatar_component_clause,[],[f4359]) ).
fof(f4359,plain,
( spl23_49
<=> aElement0(sK20(xb,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_49])]) ).
fof(f4371,plain,
( ~ spl23_7
| spl23_48 ),
inference(avatar_contradiction_clause,[],[f4370]) ).
fof(f4370,plain,
( $false
| ~ spl23_7
| spl23_48 ),
inference(subsumption_resolution,[],[f4369,f142]) ).
fof(f4369,plain,
( ~ aElement0(xb)
| ~ spl23_7
| spl23_48 ),
inference(subsumption_resolution,[],[f4368,f276]) ).
fof(f4368,plain,
( ~ aElement0(xu)
| ~ aElement0(xb)
| spl23_48 ),
inference(subsumption_resolution,[],[f4367,f154]) ).
fof(f4367,plain,
( sz00 = xu
| ~ aElement0(xu)
| ~ aElement0(xb)
| spl23_48 ),
inference(resolution,[],[f4357,f212]) ).
fof(f212,plain,
! [X0,X1] :
( aElement0(sK19(X0,X1))
| sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f4357,plain,
( ~ aElement0(sK19(xb,xu))
| spl23_48 ),
inference(avatar_component_clause,[],[f4355]) ).
fof(f4366,plain,
( ~ spl23_48
| ~ spl23_49
| ~ spl23_50
| ~ spl23_7 ),
inference(avatar_split_clause,[],[f4353,f275,f4363,f4359,f4355]) ).
fof(f4353,plain,
( ~ iLess0(sbrdtbr0(sK20(xb,xu)),sF22)
| ~ aElement0(sK20(xb,xu))
| ~ aElement0(sK19(xb,xu))
| ~ spl23_7 ),
inference(subsumption_resolution,[],[f4352,f142]) ).
fof(f4352,plain,
( ~ iLess0(sbrdtbr0(sK20(xb,xu)),sF22)
| ~ aElement0(sK20(xb,xu))
| ~ aElement0(sK19(xb,xu))
| ~ aElement0(xb)
| ~ spl23_7 ),
inference(equality_resolution,[],[f1656]) ).
fof(f1656,plain,
( ! [X0] :
( xb != X0
| ~ iLess0(sbrdtbr0(sK20(X0,xu)),sF22)
| ~ aElement0(sK20(X0,xu))
| ~ aElement0(sK19(X0,xu))
| ~ aElement0(X0) )
| ~ spl23_7 ),
inference(subsumption_resolution,[],[f1655,f276]) ).
fof(f1655,plain,
! [X0] :
( xb != X0
| ~ iLess0(sbrdtbr0(sK20(X0,xu)),sF22)
| ~ aElement0(sK20(X0,xu))
| ~ aElement0(sK19(X0,xu))
| ~ aElement0(xu)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f1644,f154]) ).
fof(f1644,plain,
! [X0] :
( xb != X0
| ~ iLess0(sbrdtbr0(sK20(X0,xu)),sF22)
| ~ aElement0(sK20(X0,xu))
| ~ aElement0(sK19(X0,xu))
| sz00 = xu
| ~ aElement0(xu)
| ~ aElement0(X0) ),
inference(superposition,[],[f238,f214]) ).
fof(f238,plain,
! [X0,X1] :
( xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| ~ iLess0(sbrdtbr0(X1),sF22)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f163,f237]) ).
fof(f163,plain,
! [X0,X1] :
( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu))
| xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu))
& sz00 != X1 )
| xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,negated_conjecture,
~ ? [X0,X1] :
( ( iLess0(sbrdtbr0(X1),sbrdtbr0(xu))
| sz00 = X1 )
& xb = sdtpldt0(sdtasdt0(X0,xu),X1)
& aElement0(X1)
& aElement0(X0) ),
inference(negated_conjecture,[],[f50]) ).
fof(f50,conjecture,
? [X0,X1] :
( ( iLess0(sbrdtbr0(X1),sbrdtbr0(xu))
| sz00 = X1 )
& xb = sdtpldt0(sdtasdt0(X0,xu),X1)
& aElement0(X1)
& aElement0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.BBewbZLWph/Vampire---4.8_23942',m__) ).
fof(f303,plain,
spl23_7,
inference(avatar_split_clause,[],[f302,f275]) ).
fof(f302,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f292,f269]) ).
fof(f269,plain,
aSet0(xI),
inference(resolution,[],[f180,f145]) ).
fof(f145,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aIdeal0(xI) ),
file('/export/starexec/sandbox/tmp/tmp.BBewbZLWph/Vampire---4.8_23942',m__2174) ).
fof(f180,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ( ( ~ aElementOf0(sdtasdt0(sK7(X0),sK6(X0)),X0)
& aElement0(sK7(X0)) )
| ( ~ aElementOf0(sdtpldt0(sK6(X0),sK8(X0)),X0)
& aElementOf0(sK8(X0),X0) ) )
& aElementOf0(sK6(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f110,f113,f112,f111]) ).
fof(f111,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,sK6(X0)),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(sK6(X0),X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(sK6(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK6(X0)),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK7(X0),sK6(X0)),X0)
& aElement0(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(sK6(X0),X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK6(X0),sK8(X0)),X0)
& aElementOf0(sK8(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f110,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) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f109]) ).
fof(f109,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) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f108]) ).
fof(f108,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) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,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,[],[f53]) ).
fof(f53,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.BBewbZLWph/Vampire---4.8_23942',mDefIdeal) ).
fof(f292,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(resolution,[],[f211,f153]) ).
fof(f153,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f58]) ).
fof(f211,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.BBewbZLWph/Vampire---4.8_23942',mEOfElem) ).
fof(f267,plain,
spl23_5,
inference(avatar_split_clause,[],[f171,f260]) ).
fof(f260,plain,
( spl23_5
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f171,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/tmp/tmp.BBewbZLWph/Vampire---4.8_23942',mSortsC) ).
fof(f266,plain,
( ~ spl23_5
| spl23_6 ),
inference(avatar_split_clause,[],[f228,f264,f260]) ).
fof(f228,plain,
! [X0] :
( xb != sdtpldt0(sdtasdt0(X0,xu),sz00)
| ~ aElement0(sz00)
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( sz00 != X1
| xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : RNG118+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 : n021.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 : Fri May 3 18:19:22 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.BBewbZLWph/Vampire---4.8_23942
% 0.59/0.81 % (24060)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)
% 0.59/0.81 % (24055)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)
% 0.59/0.81 % (24058)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)
% 0.59/0.81 % (24061)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)
% 0.59/0.81 % (24059)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)
% 0.59/0.81 % (24057)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.81 % (24056)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)
% 0.59/0.81 % (24062)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)
% 0.59/0.82 % (24059)Refutation not found, incomplete strategy% (24059)------------------------------
% 0.59/0.82 % (24059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (24059)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82
% 0.59/0.82 % (24059)Memory used [KB]: 1449
% 0.59/0.82 % (24059)Time elapsed: 0.012 s
% 0.59/0.82 % (24059)Instructions burned: 21 (million)
% 0.59/0.82 % (24059)------------------------------
% 0.59/0.82 % (24059)------------------------------
% 0.59/0.82 % (24063)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)
% 0.65/0.82 % (24058)Instruction limit reached!
% 0.65/0.82 % (24058)------------------------------
% 0.65/0.82 % (24058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82 % (24058)Termination reason: Unknown
% 0.65/0.82 % (24058)Termination phase: Saturation
% 0.65/0.82
% 0.65/0.82 % (24058)Memory used [KB]: 1680
% 0.65/0.82 % (24058)Time elapsed: 0.019 s
% 0.65/0.82 % (24058)Instructions burned: 34 (million)
% 0.65/0.82 % (24058)------------------------------
% 0.65/0.82 % (24058)------------------------------
% 0.65/0.82 % (24055)Instruction limit reached!
% 0.65/0.82 % (24055)------------------------------
% 0.65/0.82 % (24055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82 % (24055)Termination reason: Unknown
% 0.65/0.82 % (24055)Termination phase: Saturation
% 0.65/0.82
% 0.65/0.82 % (24055)Memory used [KB]: 1462
% 0.65/0.82 % (24055)Time elapsed: 0.021 s
% 0.65/0.82 % (24055)Instructions burned: 35 (million)
% 0.65/0.82 % (24055)------------------------------
% 0.65/0.82 % (24055)------------------------------
% 0.65/0.83 % (24064)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 (2994ds/50Mi)
% 0.65/0.83 % (24065)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 (2994ds/208Mi)
% 0.65/0.83 % (24060)Instruction limit reached!
% 0.65/0.83 % (24060)------------------------------
% 0.65/0.83 % (24060)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83 % (24060)Termination reason: Unknown
% 0.65/0.83 % (24060)Termination phase: Saturation
% 0.65/0.83
% 0.65/0.83 % (24060)Memory used [KB]: 1643
% 0.65/0.83 % (24060)Time elapsed: 0.027 s
% 0.65/0.83 % (24060)Instructions burned: 46 (million)
% 0.65/0.83 % (24060)------------------------------
% 0.65/0.83 % (24060)------------------------------
% 0.65/0.83 % (24062)Instruction limit reached!
% 0.65/0.83 % (24062)------------------------------
% 0.65/0.83 % (24062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83 % (24062)Termination reason: Unknown
% 0.65/0.83 % (24062)Termination phase: Saturation
% 0.65/0.83
% 0.65/0.83 % (24062)Memory used [KB]: 1791
% 0.65/0.83 % (24062)Time elapsed: 0.030 s
% 0.65/0.83 % (24062)Instructions burned: 56 (million)
% 0.65/0.83 % (24062)------------------------------
% 0.65/0.83 % (24062)------------------------------
% 0.65/0.83 % (24066)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 (2994ds/52Mi)
% 0.65/0.83 % (24056)Instruction limit reached!
% 0.65/0.83 % (24056)------------------------------
% 0.65/0.83 % (24056)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83 % (24056)Termination reason: Unknown
% 0.65/0.83 % (24056)Termination phase: Saturation
% 0.65/0.83
% 0.65/0.83 % (24056)Memory used [KB]: 1777
% 0.65/0.83 % (24056)Time elapsed: 0.031 s
% 0.65/0.83 % (24056)Instructions burned: 51 (million)
% 0.65/0.83 % (24056)------------------------------
% 0.65/0.83 % (24056)------------------------------
% 0.65/0.84 % (24067)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 (2994ds/518Mi)
% 0.65/0.84 % (24068)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 (2994ds/42Mi)
% 0.65/0.84 % (24061)Instruction limit reached!
% 0.65/0.84 % (24061)------------------------------
% 0.65/0.84 % (24061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84 % (24061)Termination reason: Unknown
% 0.65/0.84 % (24061)Termination phase: Saturation
% 0.65/0.84
% 0.65/0.84 % (24061)Memory used [KB]: 2162
% 0.65/0.84 % (24061)Time elapsed: 0.038 s
% 0.65/0.84 % (24061)Instructions burned: 83 (million)
% 0.65/0.84 % (24061)------------------------------
% 0.65/0.84 % (24061)------------------------------
% 0.65/0.85 % (24069)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 (2994ds/243Mi)
% 0.65/0.85 % (24063)Instruction limit reached!
% 0.65/0.85 % (24063)------------------------------
% 0.65/0.85 % (24063)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85 % (24063)Termination reason: Unknown
% 0.65/0.85 % (24063)Termination phase: Saturation
% 0.65/0.85
% 0.65/0.85 % (24063)Memory used [KB]: 2342
% 0.65/0.85 % (24063)Time elapsed: 0.028 s
% 0.65/0.85 % (24063)Instructions burned: 56 (million)
% 0.65/0.85 % (24063)------------------------------
% 0.65/0.85 % (24063)------------------------------
% 0.65/0.85 % (24064)Instruction limit reached!
% 0.65/0.85 % (24064)------------------------------
% 0.65/0.85 % (24064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85 % (24064)Termination reason: Unknown
% 0.65/0.85 % (24064)Termination phase: Saturation
% 0.65/0.85
% 0.65/0.85 % (24064)Memory used [KB]: 1766
% 0.65/0.85 % (24064)Time elapsed: 0.025 s
% 0.65/0.85 % (24064)Instructions burned: 50 (million)
% 0.65/0.85 % (24064)------------------------------
% 0.65/0.85 % (24064)------------------------------
% 0.65/0.85 % (24070)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.65/0.85 % (24057)Instruction limit reached!
% 0.65/0.85 % (24057)------------------------------
% 0.65/0.85 % (24057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85 % (24057)Termination reason: Unknown
% 0.65/0.85 % (24057)Termination phase: Saturation
% 0.65/0.85
% 0.65/0.85 % (24057)Memory used [KB]: 2138
% 0.65/0.85 % (24057)Time elapsed: 0.046 s
% 0.65/0.85 % (24057)Instructions burned: 79 (million)
% 0.65/0.85 % (24057)------------------------------
% 0.65/0.85 % (24057)------------------------------
% 0.65/0.85 % (24071)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.65/0.85 % (24072)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.92/0.86 % (24068)Instruction limit reached!
% 0.92/0.86 % (24068)------------------------------
% 0.92/0.86 % (24068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.86 % (24068)Termination reason: Unknown
% 0.92/0.86 % (24068)Termination phase: Saturation
% 0.92/0.86
% 0.92/0.86 % (24068)Memory used [KB]: 1696
% 0.92/0.86 % (24068)Time elapsed: 0.024 s
% 0.92/0.86 % (24068)Instructions burned: 42 (million)
% 0.92/0.86 % (24068)------------------------------
% 0.92/0.86 % (24068)------------------------------
% 0.92/0.86 % (24066)Instruction limit reached!
% 0.92/0.86 % (24066)------------------------------
% 0.92/0.86 % (24066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.86 % (24066)Termination reason: Unknown
% 0.92/0.86 % (24066)Termination phase: Saturation
% 0.92/0.86
% 0.92/0.86 % (24066)Memory used [KB]: 1938
% 0.92/0.86 % (24066)Time elapsed: 0.031 s
% 0.92/0.86 % (24066)Instructions burned: 52 (million)
% 0.92/0.86 % (24066)------------------------------
% 0.92/0.86 % (24066)------------------------------
% 0.92/0.86 % (24073)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.92/0.87 % (24074)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.92/0.88 % (24074)Instruction limit reached!
% 0.92/0.88 % (24074)------------------------------
% 0.92/0.88 % (24074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.88 % (24074)Termination reason: Unknown
% 0.92/0.88 % (24074)Termination phase: Saturation
% 0.92/0.88
% 0.92/0.88 % (24074)Memory used [KB]: 1409
% 0.92/0.88 % (24074)Time elapsed: 0.018 s
% 0.92/0.88 % (24074)Instructions burned: 34 (million)
% 0.92/0.88 % (24074)------------------------------
% 0.92/0.88 % (24074)------------------------------
% 0.92/0.89 % (24075)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.92/0.89 % (24073)Instruction limit reached!
% 0.92/0.89 % (24073)------------------------------
% 0.92/0.89 % (24073)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.89 % (24073)Termination reason: Unknown
% 0.92/0.89 % (24073)Termination phase: Saturation
% 0.92/0.89
% 0.92/0.89 % (24073)Memory used [KB]: 2407
% 0.92/0.89 % (24073)Time elapsed: 0.031 s
% 0.92/0.89 % (24073)Instructions burned: 63 (million)
% 0.92/0.89 % (24073)------------------------------
% 0.92/0.89 % (24073)------------------------------
% 0.92/0.90 % (24076)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.92/0.90 % (24072)Instruction limit reached!
% 0.92/0.90 % (24072)------------------------------
% 0.92/0.90 % (24072)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.90 % (24072)Termination reason: Unknown
% 0.92/0.90 % (24072)Termination phase: Saturation
% 0.92/0.90
% 0.92/0.90 % (24072)Memory used [KB]: 1888
% 0.92/0.90 % (24072)Time elapsed: 0.047 s
% 0.92/0.90 % (24072)Instructions burned: 93 (million)
% 0.92/0.90 % (24072)------------------------------
% 0.92/0.90 % (24072)------------------------------
% 0.92/0.90 % (24077)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.92/0.90 % (24070)Instruction limit reached!
% 0.92/0.90 % (24070)------------------------------
% 0.92/0.90 % (24070)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.90 % (24070)Termination reason: Unknown
% 0.92/0.90 % (24070)Termination phase: Saturation
% 0.92/0.90
% 0.92/0.90 % (24070)Memory used [KB]: 1753
% 0.92/0.90 % (24070)Time elapsed: 0.055 s
% 0.92/0.90 % (24070)Instructions burned: 117 (million)
% 0.92/0.90 % (24070)------------------------------
% 0.92/0.90 % (24070)------------------------------
% 0.92/0.91 % (24078)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 0.92/0.91 % (24065)First to succeed.
% 0.92/0.91 % (24065)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24052"
% 0.92/0.91 % (24065)Refutation found. Thanks to Tanya!
% 0.92/0.91 % SZS status Theorem for Vampire---4
% 0.92/0.91 % SZS output start Proof for Vampire---4
% See solution above
% 0.92/0.92 % (24065)------------------------------
% 0.92/0.92 % (24065)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.92 % (24065)Termination reason: Refutation
% 0.92/0.92
% 0.92/0.92 % (24065)Memory used [KB]: 2626
% 0.92/0.92 % (24065)Time elapsed: 0.087 s
% 0.92/0.92 % (24065)Instructions burned: 170 (million)
% 0.92/0.92 % (24052)Success in time 0.586 s
% 0.92/0.92 % Vampire---4.8 exiting
%------------------------------------------------------------------------------