TSTP Solution File: ALG223+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG223+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n015.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 04:12:36 EDT 2024
% Result : Theorem 0.58s 0.77s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 67 ( 12 unt; 0 def)
% Number of atoms : 280 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 349 ( 136 ~; 117 |; 73 &)
% ( 3 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 146 ( 112 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f773,plain,
$false,
inference(avatar_sat_refutation,[],[f764,f771]) ).
fof(f771,plain,
spl13_80,
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f770,plain,
( $false
| spl13_80 ),
inference(subsumption_resolution,[],[f768,f201]) ).
fof(f201,plain,
r2_hidden(sK9(sK4,sK2),sK2),
inference(subsumption_resolution,[],[f196,f90]) ).
fof(f90,plain,
~ r1_closure3(sK0,sK1,sK4,sK2),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ~ r1_closure3(sK0,sK1,sK4,sK2)
& r1_closure3(sK0,sK1,sK4,sK3)
& r1_closure3(sK0,sK1,sK3,sK2)
& m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
& m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1)))
& m1_pboole(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f46,f64,f63,f62,f61]) ).
fof(f61,plain,
( ? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,X2)
& r1_closure3(sK0,sK1,X4,X3)
& r1_closure3(sK0,sK1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_pboole(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,X2)
& r1_closure3(sK0,sK1,X4,X3)
& r1_closure3(sK0,sK1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
=> ( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,sK2)
& r1_closure3(sK0,sK1,X4,X3)
& r1_closure3(sK0,sK1,X3,sK2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,sK2)
& r1_closure3(sK0,sK1,X4,X3)
& r1_closure3(sK0,sK1,X3,sK2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
=> ( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,sK2)
& r1_closure3(sK0,sK1,X4,sK3)
& r1_closure3(sK0,sK1,sK3,sK2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X4] :
( ~ r1_closure3(sK0,sK1,X4,sK2)
& r1_closure3(sK0,sK1,X4,sK3)
& r1_closure3(sK0,sK1,sK3,sK2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
=> ( ~ r1_closure3(sK0,sK1,sK4,sK2)
& r1_closure3(sK0,sK1,sK4,sK3)
& r1_closure3(sK0,sK1,sK3,sK2)
& m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( ( r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2) )
=> r1_closure3(X0,X1,X4,X2) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( ( r1_closure3(X0,X1,X4,X3)
& r1_closure3(X0,X1,X3,X2) )
=> r1_closure3(X0,X1,X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.IPr5nIiOUY/Vampire---4.8_3409',t4_closure3) ).
fof(f196,plain,
( r1_closure3(sK0,sK1,sK4,sK2)
| r2_hidden(sK9(sK4,sK2),sK2) ),
inference(resolution,[],[f125,f87]) ).
fof(f87,plain,
m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f65]) ).
fof(f125,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| r1_closure3(sK0,sK1,X0,sK2)
| r2_hidden(sK9(X0,sK2),sK2) ),
inference(subsumption_resolution,[],[f117,f84]) ).
fof(f84,plain,
m1_pboole(sK1,sK0),
inference(cnf_transformation,[],[f65]) ).
fof(f117,plain,
! [X0] :
( r2_hidden(sK9(X0,sK2),sK2)
| r1_closure3(sK0,sK1,X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f85,f101]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK9(X2,X3),X3)
| r1_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ( ! [X5] :
( ~ r1_tarski(sK9(X2,X3),X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(sK9(X2,X3),X3) ) )
& ( ! [X6] :
( ( r1_tarski(X6,sK10(X2,X6))
& r2_hidden(sK10(X2,X6),X2) )
| ~ r2_hidden(X6,X3) )
| ~ r1_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f75,f77,f76]) ).
fof(f76,plain,
! [X2,X3] :
( ? [X4] :
( ! [X5] :
( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(X4,X3) )
=> ( ! [X5] :
( ~ r1_tarski(sK9(X2,X3),X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(sK9(X2,X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X2,X6] :
( ? [X7] :
( r1_tarski(X6,X7)
& r2_hidden(X7,X2) )
=> ( r1_tarski(X6,sK10(X2,X6))
& r2_hidden(sK10(X2,X6),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ? [X4] :
( ! [X5] :
( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(X4,X3) ) )
& ( ! [X6] :
( ? [X7] :
( r1_tarski(X6,X7)
& r2_hidden(X7,X2) )
| ~ r2_hidden(X6,X3) )
| ~ r1_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ? [X4] :
( ! [X5] :
( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X5,X2) )
& r2_hidden(X4,X3) ) )
& ( ! [X4] :
( ? [X5] :
( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
| ~ r2_hidden(X4,X3) )
| ~ r1_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( r1_closure3(X0,X1,X2,X3)
<=> ! [X4] :
( ? [X5] :
( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
| ~ r2_hidden(X4,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( r1_closure3(X0,X1,X2,X3)
<=> ! [X4] :
~ ( ! [X5] :
~ ( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
& r2_hidden(X4,X3) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.IPr5nIiOUY/Vampire---4.8_3409',d1_closure3) ).
fof(f85,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f65]) ).
fof(f768,plain,
( ~ r2_hidden(sK9(sK4,sK2),sK2)
| spl13_80 ),
inference(resolution,[],[f746,f500]) ).
fof(f500,plain,
! [X0] :
( r2_hidden(sK10(sK3,X0),sK3)
| ~ r2_hidden(X0,sK2) ),
inference(subsumption_resolution,[],[f493,f88]) ).
fof(f88,plain,
r1_closure3(sK0,sK1,sK3,sK2),
inference(cnf_transformation,[],[f65]) ).
fof(f493,plain,
! [X0] :
( ~ r1_closure3(sK0,sK1,sK3,sK2)
| r2_hidden(sK10(sK3,X0),sK3)
| ~ r2_hidden(X0,sK2) ),
inference(resolution,[],[f123,f86]) ).
fof(f86,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f65]) ).
fof(f123,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,X1,sK2)
| r2_hidden(sK10(X1,X0),X1)
| ~ r2_hidden(X0,sK2) ),
inference(subsumption_resolution,[],[f115,f84]) ).
fof(f115,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK2)
| ~ r1_closure3(sK0,sK1,X1,sK2)
| r2_hidden(sK10(X1,X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f85,f99]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X6,X3)
| ~ r1_closure3(X0,X1,X2,X3)
| r2_hidden(sK10(X2,X6),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f746,plain,
( ~ r2_hidden(sK10(sK3,sK9(sK4,sK2)),sK3)
| spl13_80 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f744,plain,
( spl13_80
<=> r2_hidden(sK10(sK3,sK9(sK4,sK2)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_80])]) ).
fof(f764,plain,
~ spl13_80,
inference(avatar_split_clause,[],[f763,f744]) ).
fof(f763,plain,
~ r2_hidden(sK10(sK3,sK9(sK4,sK2)),sK3),
inference(subsumption_resolution,[],[f751,f688]) ).
fof(f688,plain,
! [X0] :
( r2_hidden(sK10(sK4,X0),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(subsumption_resolution,[],[f678,f89]) ).
fof(f89,plain,
r1_closure3(sK0,sK1,sK4,sK3),
inference(cnf_transformation,[],[f65]) ).
fof(f678,plain,
! [X0] :
( ~ r1_closure3(sK0,sK1,sK4,sK3)
| r2_hidden(sK10(sK4,X0),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(resolution,[],[f152,f87]) ).
fof(f152,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,X1,sK3)
| r2_hidden(sK10(X1,X0),X1)
| ~ r2_hidden(X0,sK3) ),
inference(subsumption_resolution,[],[f144,f84]) ).
fof(f144,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK3)
| ~ r1_closure3(sK0,sK1,X1,sK3)
| r2_hidden(sK10(X1,X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f86,f99]) ).
fof(f751,plain,
( ~ r2_hidden(sK10(sK3,sK9(sK4,sK2)),sK3)
| ~ r2_hidden(sK10(sK4,sK10(sK3,sK9(sK4,sK2))),sK4) ),
inference(resolution,[],[f738,f635]) ).
fof(f635,plain,
! [X0] :
( ~ r1_tarski(sK10(sK3,sK9(sK4,sK2)),X0)
| ~ r2_hidden(X0,sK4) ),
inference(subsumption_resolution,[],[f633,f201]) ).
fof(f633,plain,
! [X0] :
( ~ r1_tarski(sK10(sK3,sK9(sK4,sK2)),X0)
| ~ r2_hidden(X0,sK4)
| ~ r2_hidden(sK9(sK4,sK2),sK2) ),
inference(resolution,[],[f618,f553]) ).
fof(f553,plain,
! [X0] :
( r1_tarski(X0,sK10(sK3,X0))
| ~ r2_hidden(X0,sK2) ),
inference(subsumption_resolution,[],[f546,f88]) ).
fof(f546,plain,
! [X0] :
( ~ r1_closure3(sK0,sK1,sK3,sK2)
| r1_tarski(X0,sK10(sK3,X0))
| ~ r2_hidden(X0,sK2) ),
inference(resolution,[],[f124,f86]) ).
fof(f124,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,X1,sK2)
| r1_tarski(X0,sK10(X1,X0))
| ~ r2_hidden(X0,sK2) ),
inference(subsumption_resolution,[],[f116,f84]) ).
fof(f116,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK2)
| ~ r1_closure3(sK0,sK1,X1,sK2)
| r1_tarski(X0,sK10(X1,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f85,f100]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X6,X3)
| ~ r1_closure3(X0,X1,X2,X3)
| r1_tarski(X6,sK10(X2,X6))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f618,plain,
! [X0,X1] :
( ~ r1_tarski(sK9(sK4,sK2),X1)
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,sK4) ),
inference(resolution,[],[f613,f113]) ).
fof(f113,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X1,X2)
& r1_tarski(X0,X1) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.IPr5nIiOUY/Vampire---4.8_3409',t1_xboole_1) ).
fof(f613,plain,
! [X0] :
( ~ r1_tarski(sK9(sK4,sK2),X0)
| ~ r2_hidden(X0,sK4) ),
inference(subsumption_resolution,[],[f608,f90]) ).
fof(f608,plain,
! [X0] :
( ~ r2_hidden(X0,sK4)
| r1_closure3(sK0,sK1,sK4,sK2)
| ~ r1_tarski(sK9(sK4,sK2),X0) ),
inference(resolution,[],[f126,f87]) ).
fof(f126,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,X0)
| r1_closure3(sK0,sK1,X0,sK2)
| ~ r1_tarski(sK9(X0,sK2),X1) ),
inference(subsumption_resolution,[],[f118,f84]) ).
fof(f118,plain,
! [X0,X1] :
( ~ r1_tarski(sK9(X0,sK2),X1)
| ~ r2_hidden(X1,X0)
| r1_closure3(sK0,sK1,X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f85,f102]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r1_tarski(sK9(X2,X3),X5)
| ~ r2_hidden(X5,X2)
| r1_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f738,plain,
! [X0] :
( r1_tarski(X0,sK10(sK4,X0))
| ~ r2_hidden(X0,sK3) ),
inference(subsumption_resolution,[],[f732,f89]) ).
fof(f732,plain,
! [X0] :
( ~ r1_closure3(sK0,sK1,sK4,sK3)
| r1_tarski(X0,sK10(sK4,X0))
| ~ r2_hidden(X0,sK3) ),
inference(resolution,[],[f153,f87]) ).
fof(f153,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,X1,sK3)
| r1_tarski(X0,sK10(X1,X0))
| ~ r2_hidden(X0,sK3) ),
inference(subsumption_resolution,[],[f145,f84]) ).
fof(f145,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK3)
| ~ r1_closure3(sK0,sK1,X1,sK3)
| r1_tarski(X0,sK10(X1,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f86,f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG223+1 : TPTP v8.1.2. Released v3.4.0.
% 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
% 0.15/0.34 % Computer : n015.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri May 3 19:55:23 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.34 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/tmp/tmp.IPr5nIiOUY/Vampire---4.8_3409
% 0.58/0.75 % (3662)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)
% 0.58/0.75 % (3664)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (3665)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)
% 0.58/0.75 % (3663)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)
% 0.58/0.75 % (3669)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)
% 0.58/0.75 % (3668)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)
% 0.58/0.75 % (3667)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)
% 0.58/0.75 % (3666)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)
% 0.58/0.76 % (3667)First to succeed.
% 0.58/0.76 % (3667)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3658"
% 0.58/0.77 % (3667)Refutation found. Thanks to Tanya!
% 0.58/0.77 % SZS status Theorem for Vampire---4
% 0.58/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77 % (3667)------------------------------
% 0.58/0.77 % (3667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (3667)Termination reason: Refutation
% 0.58/0.77
% 0.58/0.77 % (3667)Memory used [KB]: 1243
% 0.58/0.77 % (3667)Time elapsed: 0.013 s
% 0.58/0.77 % (3667)Instructions burned: 17 (million)
% 0.58/0.77 % (3658)Success in time 0.407 s
% 0.58/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------