TSTP Solution File: ITP004+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP004+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 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 : n022.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 : Mon May 20 22:29:57 EDT 2024
% Result : Theorem 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 12
% Syntax : Number of formulae : 78 ( 5 unt; 0 def)
% Number of atoms : 312 ( 11 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 422 ( 188 ~; 158 |; 30 &)
% ( 9 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 117 ( 108 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f432,plain,
$false,
inference(avatar_sat_refutation,[],[f157,f168,f407]) ).
fof(f407,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f405,f77]) ).
fof(f77,plain,
ne(sK0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),sK1))
& mem(sK1,arr(sK0,bool))
& ne(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f44,f65,f64]) ).
fof(f64,plain,
( ? [X0] :
( ? [X1] :
( ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(c_2Epred__set_2EREST(X0),X1)),X1))
& mem(X1,arr(X0,bool)) )
& ne(X0) )
=> ( ? [X1] :
( ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),X1)),X1))
& mem(X1,arr(sK0,bool)) )
& ne(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
( ? [X1] :
( ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),X1)),X1))
& mem(X1,arr(sK0,bool)) )
=> ( ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),sK1))
& mem(sK1,arr(sK0,bool)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0] :
( ? [X1] :
( ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(c_2Epred__set_2EREST(X0),X1)),X1))
& mem(X1,arr(X0,bool)) )
& ne(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X0] :
( ne(X0)
=> ! [X1] :
( mem(X1,arr(X0,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(c_2Epred__set_2EREST(X0),X1)),X1)) ) ),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X8] :
( ne(X8)
=> ! [X9] :
( mem(X9,arr(X8,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X8),ap(c_2Epred__set_2EREST(X8),X9)),X9)) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X8] :
( ne(X8)
=> ! [X9] :
( mem(X9,arr(X8,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X8),ap(c_2Epred__set_2EREST(X8),X9)),X9)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET) ).
fof(f405,plain,
( ~ ne(sK0)
| ~ spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f404,f151]) ).
fof(f151,plain,
( mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl4_3
<=> mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f404,plain,
( ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
| ~ ne(sK0)
| ~ spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f403,f78]) ).
fof(f78,plain,
mem(sK1,arr(sK0,bool)),
inference(cnf_transformation,[],[f66]) ).
fof(f403,plain,
( ~ mem(sK1,arr(sK0,bool))
| ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
| ~ ne(sK0)
| ~ spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f397,f79]) ).
fof(f79,plain,
~ p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),sK1)),
inference(cnf_transformation,[],[f66]) ).
fof(f397,plain,
( p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),sK1))
| ~ mem(sK1,arr(sK0,bool))
| ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
| ~ ne(sK0)
| ~ spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f340,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X1))
| p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
| ~ mem(X2,arr(X0,bool))
| ~ mem(X1,arr(X0,bool))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
| ( ~ p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X2))
& p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X1))
& mem(sK2(X0,X1,X2),X0) ) )
& ( ! [X4] :
( p(ap(ap(c_2Ebool_2EIN(X0),X4),X2))
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X4),X1))
| ~ mem(X4,X0) )
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ) )
| ~ mem(X2,arr(X0,bool)) )
| ~ mem(X1,arr(X0,bool)) )
| ~ ne(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f68,f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
& p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
& mem(X3,X0) )
=> ( ~ p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X2))
& p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X1))
& mem(sK2(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
| ? [X3] :
( ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
& p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
& mem(X3,X0) ) )
& ( ! [X4] :
( p(ap(ap(c_2Ebool_2EIN(X0),X4),X2))
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X4),X1))
| ~ mem(X4,X0) )
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ) )
| ~ mem(X2,arr(X0,bool)) )
| ~ mem(X1,arr(X0,bool)) )
| ~ ne(X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
| ? [X3] :
( ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
& p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
& mem(X3,X0) ) )
& ( ! [X3] :
( p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
| ~ mem(X3,X0) )
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ) )
| ~ mem(X2,arr(X0,bool)) )
| ~ mem(X1,arr(X0,bool)) )
| ~ ne(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
<=> ! [X3] :
( p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
| ~ mem(X3,X0) ) )
| ~ mem(X2,arr(X0,bool)) )
| ~ mem(X1,arr(X0,bool)) )
| ~ ne(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
<=> ! [X3] :
( p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
| ~ mem(X3,X0) ) )
| ~ mem(X2,arr(X0,bool)) )
| ~ mem(X1,arr(X0,bool)) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( mem(X1,arr(X0,bool))
=> ! [X2] :
( mem(X2,arr(X0,bool))
=> ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
<=> ! [X3] :
( mem(X3,X0)
=> ( p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
=> p(ap(ap(c_2Ebool_2EIN(X0),X3),X2)) ) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X8] :
( ne(X8)
=> ! [X9] :
( mem(X9,arr(X8,bool))
=> ! [X10] :
( mem(X10,arr(X8,bool))
=> ( p(ap(ap(c_2Epred__set_2ESUBSET(X8),X9),X10))
<=> ! [X11] :
( mem(X11,X8)
=> ( p(ap(ap(c_2Ebool_2EIN(X8),X11),X9))
=> p(ap(ap(c_2Ebool_2EIN(X8),X11),X10)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Epred__set_2ESUBSET__DEF) ).
fof(f340,plain,
( ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(c_2Epred__set_2EREST(sK0),sK1)))
| ~ spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f339,f77]) ).
fof(f339,plain,
( ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(c_2Epred__set_2EREST(sK0),sK1)))
| ~ ne(sK0)
| ~ spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f305,f78]) ).
fof(f305,plain,
( ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(c_2Epred__set_2EREST(sK0),sK1)))
| ~ mem(sK1,arr(sK0,bool))
| ~ ne(sK0)
| ~ spl4_3
| ~ spl4_4 ),
inference(superposition,[],[f294,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ap(c_2Epred__set_2EREST(X0),X1) = ap(ap(c_2Epred__set_2EDELETE(X0),X1),ap(c_2Epred__set_2ECHOICE(X0),X1))
| ~ mem(X1,arr(X0,bool))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ap(c_2Epred__set_2EREST(X0),X1) = ap(ap(c_2Epred__set_2EDELETE(X0),X1),ap(c_2Epred__set_2ECHOICE(X0),X1))
| ~ mem(X1,arr(X0,bool)) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( mem(X1,arr(X0,bool))
=> ap(c_2Epred__set_2EREST(X0),X1) = ap(ap(c_2Epred__set_2EDELETE(X0),X1),ap(c_2Epred__set_2ECHOICE(X0),X1)) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X8] :
( ne(X8)
=> ! [X9] :
( mem(X9,arr(X8,bool))
=> ap(c_2Epred__set_2EREST(X8),X9) = ap(ap(c_2Epred__set_2EDELETE(X8),X9),ap(c_2Epred__set_2ECHOICE(X8),X9)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF) ).
fof(f294,plain,
( ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1))))
| ~ spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f287,f78]) ).
fof(f287,plain,
( ! [X0] :
( ~ mem(X0,arr(sK0,bool))
| ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),X0)))) )
| ~ spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f284,f77]) ).
fof(f284,plain,
( ! [X0] :
( ~ mem(X0,arr(sK0,bool))
| ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),X0))))
| ~ ne(sK0) )
| ~ spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f216,f102]) ).
fof(f102,plain,
! [X0] :
( mem(c_2Epred__set_2ECHOICE(X0),arr(arr(X0,bool),X0))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( mem(c_2Epred__set_2ECHOICE(X0),arr(arr(X0,bool),X0))
| ~ ne(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ne(X0)
=> mem(c_2Epred__set_2ECHOICE(X0),arr(arr(X0,bool),X0)) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X8] :
( ne(X8)
=> mem(c_2Epred__set_2ECHOICE(X8),arr(arr(X8,bool),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECHOICE) ).
fof(f216,plain,
( ! [X2,X0,X1] :
( ~ mem(X0,arr(X2,sK0))
| ~ mem(X1,X2)
| ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(X0,X1)))) )
| ~ spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f180,f82]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0)
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
fof(f180,plain,
( ! [X0] :
( ~ mem(X0,sK0)
| ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),X0))) )
| ~ spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f179,f77]) ).
fof(f179,plain,
( ! [X0] :
( ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),X0)))
| ~ mem(X0,sK0)
| ~ ne(sK0) )
| ~ spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f178,f78]) ).
fof(f178,plain,
( ! [X0] :
( ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),X0)))
| ~ mem(X0,sK0)
| ~ mem(sK1,arr(sK0,bool))
| ~ ne(sK0) )
| ~ spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f175,f156]) ).
fof(f156,plain,
( mem(sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1),sK0)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl4_4
<=> mem(sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f175,plain,
( ! [X0] :
( ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),X0)))
| ~ mem(X0,sK0)
| ~ mem(sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1),sK0)
| ~ mem(sK1,arr(sK0,bool))
| ~ ne(sK0) )
| ~ spl4_3 ),
inference(resolution,[],[f172,f90]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( p(ap(ap(c_2Ebool_2EIN(X0),X2),X1))
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
| ~ mem(X3,X0)
| ~ mem(X2,X0)
| ~ mem(X1,arr(X0,bool))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
| X2 = X3
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
& ( ( X2 != X3
& p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3))) ) )
| ~ mem(X3,X0) )
| ~ mem(X2,X0) )
| ~ mem(X1,arr(X0,bool)) )
| ~ ne(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
| X2 = X3
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
& ( ( X2 != X3
& p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3))) ) )
| ~ mem(X3,X0) )
| ~ mem(X2,X0) )
| ~ mem(X1,arr(X0,bool)) )
| ~ ne(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
<=> ( X2 != X3
& p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) ) )
| ~ mem(X3,X0) )
| ~ mem(X2,X0) )
| ~ mem(X1,arr(X0,bool)) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( mem(X1,arr(X0,bool))
=> ! [X2] :
( mem(X2,X0)
=> ! [X3] :
( mem(X3,X0)
=> ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
<=> ( X2 != X3
& p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) ) ) ) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X8] :
( ne(X8)
=> ! [X9] :
( mem(X9,arr(X8,bool))
=> ! [X12] :
( mem(X12,X8)
=> ! [X13] :
( mem(X13,X8)
=> ( p(ap(ap(c_2Ebool_2EIN(X8),X12),ap(ap(c_2Epred__set_2EDELETE(X8),X9),X13)))
<=> ( X12 != X13
& p(ap(ap(c_2Ebool_2EIN(X8),X12),X9)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EIN__DELETE) ).
fof(f172,plain,
( ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),sK1))
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f171,f77]) ).
fof(f171,plain,
( ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),sK1))
| ~ ne(sK0)
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f170,f151]) ).
fof(f170,plain,
( ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),sK1))
| ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
| ~ ne(sK0) ),
inference(subsumption_resolution,[],[f169,f78]) ).
fof(f169,plain,
( ~ p(ap(ap(c_2Ebool_2EIN(sK0),sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),sK1))
| ~ mem(sK1,arr(sK0,bool))
| ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
| ~ ne(sK0) ),
inference(resolution,[],[f86,f79]) ).
fof(f86,plain,
! [X2,X0,X1] :
( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
| ~ p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X2))
| ~ mem(X2,arr(X0,bool))
| ~ mem(X1,arr(X0,bool))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f168,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f167,plain,
( $false
| spl4_3 ),
inference(subsumption_resolution,[],[f166,f77]) ).
fof(f166,plain,
( ~ ne(sK0)
| spl4_3 ),
inference(subsumption_resolution,[],[f165,f78]) ).
fof(f165,plain,
( ~ mem(sK1,arr(sK0,bool))
| ~ ne(sK0)
| spl4_3 ),
inference(resolution,[],[f158,f89]) ).
fof(f89,plain,
! [X0] :
( mem(c_2Epred__set_2EREST(X0),arr(arr(X0,bool),arr(X0,bool)))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( mem(c_2Epred__set_2EREST(X0),arr(arr(X0,bool),arr(X0,bool)))
| ~ ne(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ne(X0)
=> mem(c_2Epred__set_2EREST(X0),arr(arr(X0,bool),arr(X0,bool))) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X8] :
( ne(X8)
=> mem(c_2Epred__set_2EREST(X8),arr(arr(X8,bool),arr(X8,bool))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2EREST) ).
fof(f158,plain,
( ! [X0] :
( ~ mem(c_2Epred__set_2EREST(sK0),arr(X0,arr(sK0,bool)))
| ~ mem(sK1,X0) )
| spl4_3 ),
inference(resolution,[],[f152,f82]) ).
fof(f152,plain,
( ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
| spl4_3 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f157,plain,
( ~ spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f148,f154,f150]) ).
fof(f148,plain,
( mem(sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1),sK0)
| ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool)) ),
inference(subsumption_resolution,[],[f147,f77]) ).
fof(f147,plain,
( mem(sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1),sK0)
| ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
| ~ ne(sK0) ),
inference(subsumption_resolution,[],[f146,f78]) ).
fof(f146,plain,
( mem(sK2(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1),sK0)
| ~ mem(sK1,arr(sK0,bool))
| ~ mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool))
| ~ ne(sK0) ),
inference(resolution,[],[f84,f79]) ).
fof(f84,plain,
! [X2,X0,X1] :
( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
| mem(sK2(X0,X1,X2),X0)
| ~ mem(X2,arr(X0,bool))
| ~ mem(X1,arr(X0,bool))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP004+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.11/0.14 % 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
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 16:45:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34 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/benchmark/theBenchmark.p
% 0.55/0.73 % (18932)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.74 % (18925)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.74 % (18927)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.74 % (18929)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.74 % (18928)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.74 % (18926)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 theBenchmark for (2996ds/51Mi)
% 0.55/0.74 % (18930)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.74 % (18931)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 theBenchmark for (2996ds/83Mi)
% 0.55/0.74 % (18932)Refutation not found, incomplete strategy% (18932)------------------------------
% 0.55/0.74 % (18932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (18932)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (18932)Memory used [KB]: 1071
% 0.55/0.74 % (18932)Time elapsed: 0.002 s
% 0.55/0.74 % (18932)Instructions burned: 3 (million)
% 0.55/0.74 % (18932)------------------------------
% 0.55/0.74 % (18932)------------------------------
% 0.55/0.74 % (18930)Refutation not found, incomplete strategy% (18930)------------------------------
% 0.55/0.74 % (18930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (18930)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (18930)Memory used [KB]: 1073
% 0.55/0.74 % (18930)Time elapsed: 0.004 s
% 0.55/0.74 % (18930)Instructions burned: 4 (million)
% 0.55/0.74 % (18930)------------------------------
% 0.55/0.74 % (18930)------------------------------
% 0.55/0.74 % (18933)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 theBenchmark for (2996ds/55Mi)
% 0.55/0.74 % (18929)Refutation not found, incomplete strategy% (18929)------------------------------
% 0.55/0.74 % (18929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (18929)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (18929)Memory used [KB]: 1090
% 0.55/0.74 % (18929)Time elapsed: 0.005 s
% 0.55/0.74 % (18929)Instructions burned: 6 (million)
% 0.55/0.74 % (18929)------------------------------
% 0.55/0.74 % (18929)------------------------------
% 0.55/0.74 % (18934)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 theBenchmark for (2996ds/50Mi)
% 0.55/0.74 % (18935)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.75 % (18925)Instruction limit reached!
% 0.55/0.75 % (18925)------------------------------
% 0.55/0.75 % (18925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (18925)Termination reason: Unknown
% 0.55/0.75 % (18925)Termination phase: Saturation
% 0.55/0.75
% 0.55/0.75 % (18925)Memory used [KB]: 1227
% 0.55/0.75 % (18925)Time elapsed: 0.019 s
% 0.55/0.75 % (18928)Instruction limit reached!
% 0.55/0.75 % (18928)------------------------------
% 0.55/0.75 % (18928)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (18928)Termination reason: Unknown
% 0.55/0.75 % (18928)Termination phase: Saturation
% 0.55/0.75
% 0.55/0.75 % (18928)Memory used [KB]: 1877
% 0.55/0.75 % (18928)Time elapsed: 0.019 s
% 0.55/0.75 % (18928)Instructions burned: 34 (million)
% 0.55/0.75 % (18928)------------------------------
% 0.55/0.75 % (18928)------------------------------
% 0.55/0.75 % (18925)Instructions burned: 35 (million)
% 0.55/0.75 % (18925)------------------------------
% 0.55/0.75 % (18925)------------------------------
% 0.55/0.75 % (18933)Instruction limit reached!
% 0.55/0.75 % (18933)------------------------------
% 0.55/0.75 % (18933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (18933)Termination reason: Unknown
% 0.55/0.75 % (18933)Termination phase: Saturation
% 0.55/0.75
% 0.55/0.75 % (18933)Memory used [KB]: 2048
% 0.55/0.75 % (18933)Time elapsed: 0.017 s
% 0.55/0.75 % (18933)Instructions burned: 56 (million)
% 0.55/0.75 % (18933)------------------------------
% 0.55/0.75 % (18933)------------------------------
% 0.55/0.76 % (18927)First to succeed.
% 0.55/0.76 % (18936)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 theBenchmark for (2995ds/52Mi)
% 0.55/0.76 % (18937)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 theBenchmark for (2995ds/518Mi)
% 0.55/0.76 % (18938)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 theBenchmark for (2995ds/42Mi)
% 0.55/0.76 % (18927)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18924"
% 0.55/0.76 % (18927)Refutation found. Thanks to Tanya!
% 0.55/0.76 % SZS status Theorem for theBenchmark
% 0.55/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.76 % (18927)------------------------------
% 0.55/0.76 % (18927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (18927)Termination reason: Refutation
% 0.55/0.76
% 0.55/0.76 % (18927)Memory used [KB]: 1354
% 0.55/0.76 % (18927)Time elapsed: 0.024 s
% 0.55/0.76 % (18927)Instructions burned: 36 (million)
% 0.55/0.76 % (18924)Success in time 0.409 s
% 0.55/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------