TSTP Solution File: SEU297+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU297+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : 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 : Sun May 5 09:22:01 EDT 2024
% Result : Theorem 0.59s 0.75s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 86 ( 6 unt; 0 def)
% Number of atoms : 443 ( 61 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 549 ( 192 ~; 215 |; 114 &)
% ( 13 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 190 ( 130 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f294,plain,
$false,
inference(avatar_sat_refutation,[],[f227,f237,f258,f270,f278,f286,f293]) ).
fof(f293,plain,
( ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(subsumption_resolution,[],[f291,f242]) ).
fof(f242,plain,
( in(sK4(sK8(sK2,sK3)),sK8(sK2,sK3))
| ~ spl26_3 ),
inference(factoring,[],[f226]) ).
fof(f226,plain,
( ! [X0] :
( in(sK4(X0),sK8(sK2,sK3))
| in(sK4(X0),X0) )
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl26_3
<=> ! [X0] :
( in(sK4(X0),sK8(sK2,sK3))
| in(sK4(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f291,plain,
( ~ in(sK4(sK8(sK2,sK3)),sK8(sK2,sK3))
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(subsumption_resolution,[],[f288,f287]) ).
fof(f287,plain,
( in(sK4(sK8(sK2,sK3)),powerset(relation_dom(sK3)))
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f269,f277]) ).
fof(f277,plain,
( sK4(sK8(sK2,sK3)) = sK9(sK2,sK3,sK4(sK8(sK2,sK3)))
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl26_7
<=> sK4(sK8(sK2,sK3)) = sK9(sK2,sK3,sK4(sK8(sK2,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f269,plain,
( in(sK9(sK2,sK3,sK4(sK8(sK2,sK3))),powerset(relation_dom(sK3)))
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl26_6
<=> in(sK9(sK2,sK3,sK4(sK8(sK2,sK3))),powerset(relation_dom(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f288,plain,
( ~ in(sK4(sK8(sK2,sK3)),powerset(relation_dom(sK3)))
| ~ in(sK4(sK8(sK2,sK3)),sK8(sK2,sK3))
| ~ spl26_8 ),
inference(resolution,[],[f285,f125]) ).
fof(f125,plain,
! [X3] :
( ~ in(relation_image(sK3,sK4(X3)),sK2)
| ~ in(sK4(X3),powerset(relation_dom(sK3)))
| ~ in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ! [X3] :
( ( ~ in(relation_image(sK3,sK4(X3)),sK2)
| ~ in(sK4(X3),powerset(relation_dom(sK3)))
| ~ in(sK4(X3),X3) )
& ( ( in(relation_image(sK3,sK4(X3)),sK2)
& in(sK4(X3),powerset(relation_dom(sK3))) )
| in(sK4(X3),X3) ) )
& function(sK3)
& relation(sK3)
& element(sK2,powerset(powerset(sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f75,f77,f76]) ).
fof(f76,plain,
( ? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ~ in(relation_image(X2,X4),X1)
| ~ in(X4,powerset(relation_dom(X2)))
| ~ in(X4,X3) )
& ( ( in(relation_image(X2,X4),X1)
& in(X4,powerset(relation_dom(X2))) )
| in(X4,X3) ) )
& function(X2)
& relation(X2)
& element(X1,powerset(powerset(X0))) )
=> ( ! [X3] :
? [X4] :
( ( ~ in(relation_image(sK3,X4),sK2)
| ~ in(X4,powerset(relation_dom(sK3)))
| ~ in(X4,X3) )
& ( ( in(relation_image(sK3,X4),sK2)
& in(X4,powerset(relation_dom(sK3))) )
| in(X4,X3) ) )
& function(sK3)
& relation(sK3)
& element(sK2,powerset(powerset(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X3] :
( ? [X4] :
( ( ~ in(relation_image(sK3,X4),sK2)
| ~ in(X4,powerset(relation_dom(sK3)))
| ~ in(X4,X3) )
& ( ( in(relation_image(sK3,X4),sK2)
& in(X4,powerset(relation_dom(sK3))) )
| in(X4,X3) ) )
=> ( ( ~ in(relation_image(sK3,sK4(X3)),sK2)
| ~ in(sK4(X3),powerset(relation_dom(sK3)))
| ~ in(sK4(X3),X3) )
& ( ( in(relation_image(sK3,sK4(X3)),sK2)
& in(sK4(X3),powerset(relation_dom(sK3))) )
| in(sK4(X3),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ~ in(relation_image(X2,X4),X1)
| ~ in(X4,powerset(relation_dom(X2)))
| ~ in(X4,X3) )
& ( ( in(relation_image(X2,X4),X1)
& in(X4,powerset(relation_dom(X2))) )
| in(X4,X3) ) )
& function(X2)
& relation(X2)
& element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ~ in(relation_image(X2,X4),X1)
| ~ in(X4,powerset(relation_dom(X2)))
| ~ in(X4,X3) )
& ( ( in(relation_image(X2,X4),X1)
& in(X4,powerset(relation_dom(X2))) )
| in(X4,X3) ) )
& function(X2)
& relation(X2)
& element(X1,powerset(powerset(X0))) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(relation_image(X2,X4),X1)
& in(X4,powerset(relation_dom(X2))) ) )
& function(X2)
& relation(X2)
& element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(relation_image(X2,X4),X1)
& in(X4,powerset(relation_dom(X2))) ) )
& function(X2)
& relation(X2)
& element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2)
& element(X1,powerset(powerset(X0))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(relation_image(X2,X4),X1)
& in(X4,powerset(relation_dom(X2))) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2)
& element(X1,powerset(powerset(X0))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(relation_image(X2,X4),X1)
& in(X4,powerset(relation_dom(X2))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.383L1IxEG9/Vampire---4.8_20047',s1_xboole_0__e6_27__finset_1) ).
fof(f285,plain,
( in(relation_image(sK3,sK4(sK8(sK2,sK3))),sK2)
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl26_8
<=> in(relation_image(sK3,sK4(sK8(sK2,sK3))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f286,plain,
( spl26_1
| spl26_8
| spl26_2
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f281,f225,f221,f283,f218]) ).
fof(f218,plain,
( spl26_1
<=> ! [X1] : ~ element(sK2,powerset(powerset(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f221,plain,
( spl26_2
<=> sP0(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f281,plain,
( ! [X0] :
( in(relation_image(sK3,sK4(sK8(sK2,sK3))),sK2)
| ~ element(sK2,powerset(powerset(X0))) )
| spl26_2
| ~ spl26_3 ),
inference(subsumption_resolution,[],[f280,f121]) ).
fof(f121,plain,
relation(sK3),
inference(cnf_transformation,[],[f78]) ).
fof(f280,plain,
( ! [X0] :
( in(relation_image(sK3,sK4(sK8(sK2,sK3))),sK2)
| ~ relation(sK3)
| ~ element(sK2,powerset(powerset(X0))) )
| spl26_2
| ~ spl26_3 ),
inference(subsumption_resolution,[],[f279,f122]) ).
fof(f122,plain,
function(sK3),
inference(cnf_transformation,[],[f78]) ).
fof(f279,plain,
( ! [X0] :
( in(relation_image(sK3,sK4(sK8(sK2,sK3))),sK2)
| ~ function(sK3)
| ~ relation(sK3)
| ~ element(sK2,powerset(powerset(X0))) )
| spl26_2
| ~ spl26_3 ),
inference(subsumption_resolution,[],[f261,f222]) ).
fof(f222,plain,
( ~ sP0(sK2,sK3)
| spl26_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f261,plain,
( ! [X0] :
( in(relation_image(sK3,sK4(sK8(sK2,sK3))),sK2)
| sP0(sK2,sK3)
| ~ function(sK3)
| ~ relation(sK3)
| ~ element(sK2,powerset(powerset(X0))) )
| ~ spl26_3 ),
inference(resolution,[],[f242,f133]) ).
fof(f133,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK8(X1,X2))
| in(relation_image(X2,X4),X1)
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( in(X4,sK8(X1,X2))
| ! [X5] :
( ~ in(relation_image(X2,X4),X1)
| X4 != X5
| ~ in(X5,powerset(relation_dom(X2))) ) )
& ( ( in(relation_image(X2,X4),X1)
& sK9(X1,X2,X4) = X4
& in(sK9(X1,X2,X4),powerset(relation_dom(X2))) )
| ~ in(X4,sK8(X1,X2)) ) )
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ element(X1,powerset(powerset(X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f84,f86,f85]) ).
fof(f85,plain,
! [X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(relation_image(X2,X4),X1)
| X4 != X5
| ~ in(X5,powerset(relation_dom(X2))) ) )
& ( ? [X6] :
( in(relation_image(X2,X4),X1)
& X4 = X6
& in(X6,powerset(relation_dom(X2))) )
| ~ in(X4,X3) ) )
=> ! [X4] :
( ( in(X4,sK8(X1,X2))
| ! [X5] :
( ~ in(relation_image(X2,X4),X1)
| X4 != X5
| ~ in(X5,powerset(relation_dom(X2))) ) )
& ( ? [X6] :
( in(relation_image(X2,X4),X1)
& X4 = X6
& in(X6,powerset(relation_dom(X2))) )
| ~ in(X4,sK8(X1,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X1,X2,X4] :
( ? [X6] :
( in(relation_image(X2,X4),X1)
& X4 = X6
& in(X6,powerset(relation_dom(X2))) )
=> ( in(relation_image(X2,X4),X1)
& sK9(X1,X2,X4) = X4
& in(sK9(X1,X2,X4),powerset(relation_dom(X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(relation_image(X2,X4),X1)
| X4 != X5
| ~ in(X5,powerset(relation_dom(X2))) ) )
& ( ? [X6] :
( in(relation_image(X2,X4),X1)
& X4 = X6
& in(X6,powerset(relation_dom(X2))) )
| ~ in(X4,X3) ) )
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ element(X1,powerset(powerset(X0))) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ? [X6] :
! [X7] :
( ( in(X7,X6)
| ! [X8] :
( ~ in(relation_image(X2,X7),X1)
| X7 != X8
| ~ in(X8,powerset(relation_dom(X2))) ) )
& ( ? [X8] :
( in(relation_image(X2,X7),X1)
& X7 = X8
& in(X8,powerset(relation_dom(X2))) )
| ~ in(X7,X6) ) )
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ element(X1,powerset(powerset(X0))) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ? [X6] :
! [X7] :
( in(X7,X6)
<=> ? [X8] :
( in(relation_image(X2,X7),X1)
& X7 = X8
& in(X8,powerset(relation_dom(X2))) ) )
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ element(X1,powerset(powerset(X0))) ),
inference(definition_folding,[],[f50,f72]) ).
fof(f72,plain,
! [X1,X2] :
( ? [X3,X4,X5] :
( X4 != X5
& in(relation_image(X2,X5),X1)
& X3 = X5
& in(relation_image(X2,X4),X1)
& X3 = X4 )
| ~ sP0(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ? [X6] :
! [X7] :
( in(X7,X6)
<=> ? [X8] :
( in(relation_image(X2,X7),X1)
& X7 = X8
& in(X8,powerset(relation_dom(X2))) ) )
| ? [X3,X4,X5] :
( X4 != X5
& in(relation_image(X2,X5),X1)
& X3 = X5
& in(relation_image(X2,X4),X1)
& X3 = X4 )
| ~ function(X2)
| ~ relation(X2)
| ~ element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ? [X6] :
! [X7] :
( in(X7,X6)
<=> ? [X8] :
( in(relation_image(X2,X7),X1)
& X7 = X8
& in(X8,powerset(relation_dom(X2))) ) )
| ? [X3,X4,X5] :
( X4 != X5
& in(relation_image(X2,X5),X1)
& X3 = X5
& in(relation_image(X2,X4),X1)
& X3 = X4 )
| ~ function(X2)
| ~ relation(X2)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2)
& element(X1,powerset(powerset(X0))) )
=> ( ! [X3,X4,X5] :
( ( in(relation_image(X2,X5),X1)
& X3 = X5
& in(relation_image(X2,X4),X1)
& X3 = X4 )
=> X4 = X5 )
=> ? [X6] :
! [X7] :
( in(X7,X6)
<=> ? [X8] :
( in(relation_image(X2,X7),X1)
& X7 = X8
& in(X8,powerset(relation_dom(X2))) ) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2)
& element(X1,powerset(powerset(X0))) )
=> ( ! [X3,X4,X5] :
( ( in(relation_image(X2,X5),X1)
& X3 = X5
& in(relation_image(X2,X4),X1)
& X3 = X4 )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(relation_image(X2,X4),X1)
& X4 = X5
& in(X5,powerset(relation_dom(X2))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.383L1IxEG9/Vampire---4.8_20047',s1_tarski__e6_27__finset_1__1) ).
fof(f278,plain,
( spl26_1
| spl26_7
| spl26_2
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f273,f225,f221,f275,f218]) ).
fof(f273,plain,
( ! [X0] :
( sK4(sK8(sK2,sK3)) = sK9(sK2,sK3,sK4(sK8(sK2,sK3)))
| ~ element(sK2,powerset(powerset(X0))) )
| spl26_2
| ~ spl26_3 ),
inference(subsumption_resolution,[],[f272,f121]) ).
fof(f272,plain,
( ! [X0] :
( sK4(sK8(sK2,sK3)) = sK9(sK2,sK3,sK4(sK8(sK2,sK3)))
| ~ relation(sK3)
| ~ element(sK2,powerset(powerset(X0))) )
| spl26_2
| ~ spl26_3 ),
inference(subsumption_resolution,[],[f271,f122]) ).
fof(f271,plain,
( ! [X0] :
( sK4(sK8(sK2,sK3)) = sK9(sK2,sK3,sK4(sK8(sK2,sK3)))
| ~ function(sK3)
| ~ relation(sK3)
| ~ element(sK2,powerset(powerset(X0))) )
| spl26_2
| ~ spl26_3 ),
inference(subsumption_resolution,[],[f260,f222]) ).
fof(f260,plain,
( ! [X0] :
( sK4(sK8(sK2,sK3)) = sK9(sK2,sK3,sK4(sK8(sK2,sK3)))
| sP0(sK2,sK3)
| ~ function(sK3)
| ~ relation(sK3)
| ~ element(sK2,powerset(powerset(X0))) )
| ~ spl26_3 ),
inference(resolution,[],[f242,f132]) ).
fof(f132,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK8(X1,X2))
| sK9(X1,X2,X4) = X4
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f270,plain,
( spl26_1
| spl26_6
| spl26_2
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f265,f225,f221,f267,f218]) ).
fof(f265,plain,
( ! [X0] :
( in(sK9(sK2,sK3,sK4(sK8(sK2,sK3))),powerset(relation_dom(sK3)))
| ~ element(sK2,powerset(powerset(X0))) )
| spl26_2
| ~ spl26_3 ),
inference(subsumption_resolution,[],[f264,f121]) ).
fof(f264,plain,
( ! [X0] :
( in(sK9(sK2,sK3,sK4(sK8(sK2,sK3))),powerset(relation_dom(sK3)))
| ~ relation(sK3)
| ~ element(sK2,powerset(powerset(X0))) )
| spl26_2
| ~ spl26_3 ),
inference(subsumption_resolution,[],[f263,f122]) ).
fof(f263,plain,
( ! [X0] :
( in(sK9(sK2,sK3,sK4(sK8(sK2,sK3))),powerset(relation_dom(sK3)))
| ~ function(sK3)
| ~ relation(sK3)
| ~ element(sK2,powerset(powerset(X0))) )
| spl26_2
| ~ spl26_3 ),
inference(subsumption_resolution,[],[f259,f222]) ).
fof(f259,plain,
( ! [X0] :
( in(sK9(sK2,sK3,sK4(sK8(sK2,sK3))),powerset(relation_dom(sK3)))
| sP0(sK2,sK3)
| ~ function(sK3)
| ~ relation(sK3)
| ~ element(sK2,powerset(powerset(X0))) )
| ~ spl26_3 ),
inference(resolution,[],[f242,f131]) ).
fof(f131,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK8(X1,X2))
| in(sK9(X1,X2,X4),powerset(relation_dom(X2)))
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f258,plain,
~ spl26_1,
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| ~ spl26_1 ),
inference(resolution,[],[f219,f120]) ).
fof(f120,plain,
element(sK2,powerset(powerset(sK1))),
inference(cnf_transformation,[],[f78]) ).
fof(f219,plain,
( ! [X1] : ~ element(sK2,powerset(powerset(X1)))
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f237,plain,
~ spl26_2,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f235,f223]) ).
fof(f223,plain,
( sP0(sK2,sK3)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f235,plain,
( ~ sP0(sK2,sK3)
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f234,f231]) ).
fof(f231,plain,
( sK5(sK2,sK3) = sK6(sK2,sK3)
| ~ spl26_2 ),
inference(resolution,[],[f223,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK5(X0,X1) = sK6(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( sK6(X0,X1) != sK7(X0,X1)
& in(relation_image(X1,sK7(X0,X1)),X0)
& sK5(X0,X1) = sK7(X0,X1)
& in(relation_image(X1,sK6(X0,X1)),X0)
& sK5(X0,X1) = sK6(X0,X1) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f80,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& in(relation_image(X1,X4),X0)
& X2 = X4
& in(relation_image(X1,X3),X0)
& X2 = X3 )
=> ( sK6(X0,X1) != sK7(X0,X1)
& in(relation_image(X1,sK7(X0,X1)),X0)
& sK5(X0,X1) = sK7(X0,X1)
& in(relation_image(X1,sK6(X0,X1)),X0)
& sK5(X0,X1) = sK6(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& in(relation_image(X1,X4),X0)
& X2 = X4
& in(relation_image(X1,X3),X0)
& X2 = X3 )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1,X2] :
( ? [X3,X4,X5] :
( X4 != X5
& in(relation_image(X2,X5),X1)
& X3 = X5
& in(relation_image(X2,X4),X1)
& X3 = X4 )
| ~ sP0(X1,X2) ),
inference(nnf_transformation,[],[f72]) ).
fof(f234,plain,
( sK5(sK2,sK3) != sK6(sK2,sK3)
| ~ sP0(sK2,sK3)
| ~ spl26_2 ),
inference(superposition,[],[f130,f229]) ).
fof(f229,plain,
( sK7(sK2,sK3) = sK5(sK2,sK3)
| ~ spl26_2 ),
inference(resolution,[],[f223,f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK5(X0,X1) = sK7(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f130,plain,
! [X0,X1] :
( sK6(X0,X1) != sK7(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f227,plain,
( spl26_1
| spl26_2
| spl26_3 ),
inference(avatar_split_clause,[],[f216,f225,f221,f218]) ).
fof(f216,plain,
! [X0,X1] :
( in(sK4(X0),sK8(sK2,sK3))
| sP0(sK2,sK3)
| ~ element(sK2,powerset(powerset(X1)))
| in(sK4(X0),X0) ),
inference(subsumption_resolution,[],[f215,f123]) ).
fof(f123,plain,
! [X3] :
( in(sK4(X3),powerset(relation_dom(sK3)))
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f78]) ).
fof(f215,plain,
! [X0,X1] :
( in(sK4(X0),sK8(sK2,sK3))
| ~ in(sK4(X0),powerset(relation_dom(sK3)))
| sP0(sK2,sK3)
| ~ element(sK2,powerset(powerset(X1)))
| in(sK4(X0),X0) ),
inference(subsumption_resolution,[],[f214,f121]) ).
fof(f214,plain,
! [X0,X1] :
( in(sK4(X0),sK8(sK2,sK3))
| ~ in(sK4(X0),powerset(relation_dom(sK3)))
| sP0(sK2,sK3)
| ~ relation(sK3)
| ~ element(sK2,powerset(powerset(X1)))
| in(sK4(X0),X0) ),
inference(subsumption_resolution,[],[f213,f122]) ).
fof(f213,plain,
! [X0,X1] :
( in(sK4(X0),sK8(sK2,sK3))
| ~ in(sK4(X0),powerset(relation_dom(sK3)))
| sP0(sK2,sK3)
| ~ function(sK3)
| ~ relation(sK3)
| ~ element(sK2,powerset(powerset(X1)))
| in(sK4(X0),X0) ),
inference(resolution,[],[f206,f124]) ).
fof(f124,plain,
! [X3] :
( in(relation_image(sK3,sK4(X3)),sK2)
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f78]) ).
fof(f206,plain,
! [X2,X0,X1,X5] :
( ~ in(relation_image(X2,X5),X1)
| in(X5,sK8(X1,X2))
| ~ in(X5,powerset(relation_dom(X2)))
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ element(X1,powerset(powerset(X0))) ),
inference(equality_resolution,[],[f134]) ).
fof(f134,plain,
! [X2,X0,X1,X4,X5] :
( in(X4,sK8(X1,X2))
| ~ in(relation_image(X2,X4),X1)
| X4 != X5
| ~ in(X5,powerset(relation_dom(X2)))
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU297+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 11:19:52 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.383L1IxEG9/Vampire---4.8_20047
% 0.54/0.74 % (20439)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.54/0.74 % (20433)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.74 % (20435)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74 % (20434)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.74 % (20436)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.74 % (20437)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.74 % (20438)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.74 % (20440)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.75 % (20438)Refutation not found, incomplete strategy% (20438)------------------------------
% 0.59/0.75 % (20438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (20438)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (20438)Memory used [KB]: 1054
% 0.59/0.75 % (20438)Time elapsed: 0.003 s
% 0.59/0.75 % (20438)Instructions burned: 3 (million)
% 0.59/0.75 % (20440)Refutation not found, incomplete strategy% (20440)------------------------------
% 0.59/0.75 % (20440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (20440)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (20440)Memory used [KB]: 1052
% 0.59/0.75 % (20440)Time elapsed: 0.003 s
% 0.59/0.75 % (20440)Instructions burned: 3 (million)
% 0.59/0.75 % (20438)------------------------------
% 0.59/0.75 % (20438)------------------------------
% 0.59/0.75 % (20440)------------------------------
% 0.59/0.75 % (20440)------------------------------
% 0.59/0.75 % (20433)Refutation not found, incomplete strategy% (20433)------------------------------
% 0.59/0.75 % (20433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (20433)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (20433)Memory used [KB]: 1137
% 0.59/0.75 % (20433)Time elapsed: 0.006 s
% 0.59/0.75 % (20433)Instructions burned: 7 (million)
% 0.59/0.75 % (20433)------------------------------
% 0.59/0.75 % (20433)------------------------------
% 0.59/0.75 % (20435)First to succeed.
% 0.59/0.75 % (20444)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.75 % (20445)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.75 % (20435)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20284"
% 0.59/0.75 % (20435)Refutation found. Thanks to Tanya!
% 0.59/0.75 % SZS status Theorem for Vampire---4
% 0.59/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75 % (20435)------------------------------
% 0.59/0.75 % (20435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (20435)Termination reason: Refutation
% 0.59/0.75
% 0.59/0.75 % (20435)Memory used [KB]: 1173
% 0.59/0.75 % (20435)Time elapsed: 0.009 s
% 0.59/0.75 % (20435)Instructions burned: 13 (million)
% 0.59/0.75 % (20284)Success in time 0.389 s
% 0.59/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------