TSTP Solution File: ALG224+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG224+1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 18:19:37 EDT 2024
% Result : Theorem 0.61s 0.81s
% Output : Refutation 0.61s
% 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(f1374,plain,
$false,
inference(avatar_sat_refutation,[],[f1367,f1372]) ).
fof(f1372,plain,
spl13_133,
inference(avatar_contradiction_clause,[],[f1371]) ).
fof(f1371,plain,
( $false
| spl13_133 ),
inference(subsumption_resolution,[],[f1369,f367]) ).
fof(f367,plain,
r2_hidden(sK9(sK2,sK4),sK2),
inference(subsumption_resolution,[],[f360,f90]) ).
fof(f90,plain,
~ r2_closure3(sK0,sK1,sK2,sK4),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ~ r2_closure3(sK0,sK1,sK2,sK4)
& r2_closure3(sK0,sK1,sK3,sK4)
& r2_closure3(sK0,sK1,sK2,sK3)
& 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] :
( ~ r2_closure3(X0,X1,X2,X4)
& r2_closure3(X0,X1,X3,X4)
& r2_closure3(X0,X1,X2,X3)
& 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] :
( ~ r2_closure3(sK0,sK1,X2,X4)
& r2_closure3(sK0,sK1,X3,X4)
& r2_closure3(sK0,sK1,X2,X3)
& 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] :
( ~ r2_closure3(sK0,sK1,X2,X4)
& r2_closure3(sK0,sK1,X3,X4)
& r2_closure3(sK0,sK1,X2,X3)
& 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] :
( ~ r2_closure3(sK0,sK1,sK2,X4)
& r2_closure3(sK0,sK1,X3,X4)
& r2_closure3(sK0,sK1,sK2,X3)
& 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] :
( ~ r2_closure3(sK0,sK1,sK2,X4)
& r2_closure3(sK0,sK1,X3,X4)
& r2_closure3(sK0,sK1,sK2,X3)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
=> ( ? [X4] :
( ~ r2_closure3(sK0,sK1,sK2,X4)
& r2_closure3(sK0,sK1,sK3,X4)
& r2_closure3(sK0,sK1,sK2,sK3)
& 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] :
( ~ r2_closure3(sK0,sK1,sK2,X4)
& r2_closure3(sK0,sK1,sK3,X4)
& r2_closure3(sK0,sK1,sK2,sK3)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK0,sK1))) )
=> ( ~ r2_closure3(sK0,sK1,sK2,sK4)
& r2_closure3(sK0,sK1,sK3,sK4)
& r2_closure3(sK0,sK1,sK2,sK3)
& m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r2_closure3(X0,X1,X2,X4)
& r2_closure3(X0,X1,X3,X4)
& r2_closure3(X0,X1,X2,X3)
& 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] :
( ~ r2_closure3(X0,X1,X2,X4)
& r2_closure3(X0,X1,X3,X4)
& r2_closure3(X0,X1,X2,X3)
& 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)))
=> ( ( r2_closure3(X0,X1,X3,X4)
& r2_closure3(X0,X1,X2,X3) )
=> r2_closure3(X0,X1,X2,X4) ) ) ) ) ),
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)))
=> ( ( r2_closure3(X0,X1,X3,X4)
& r2_closure3(X0,X1,X2,X3) )
=> r2_closure3(X0,X1,X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_closure3) ).
fof(f360,plain,
( r2_closure3(sK0,sK1,sK2,sK4)
| r2_hidden(sK9(sK2,sK4),sK2) ),
inference(resolution,[],[f158,f85]) ).
fof(f85,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f65]) ).
fof(f158,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| r2_closure3(sK0,sK1,X0,sK4)
| r2_hidden(sK9(X0,sK4),X0) ),
inference(subsumption_resolution,[],[f150,f84]) ).
fof(f84,plain,
m1_pboole(sK1,sK0),
inference(cnf_transformation,[],[f65]) ).
fof(f150,plain,
! [X0] :
( r2_hidden(sK9(X0,sK4),X0)
| r2_closure3(sK0,sK1,X0,sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f87,f101]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK9(X2,X3),X2)
| r2_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] :
( ( ( r2_closure3(X0,X1,X2,X3)
| ( ! [X5] :
( ~ r1_tarski(X5,sK9(X2,X3))
| ~ r2_hidden(X5,X3) )
& r2_hidden(sK9(X2,X3),X2) ) )
& ( ! [X6] :
( ( r1_tarski(sK10(X3,X6),X6)
& r2_hidden(sK10(X3,X6),X3) )
| ~ r2_hidden(X6,X2) )
| ~ r2_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(X5,X4)
| ~ r2_hidden(X5,X3) )
& r2_hidden(X4,X2) )
=> ( ! [X5] :
( ~ r1_tarski(X5,sK9(X2,X3))
| ~ r2_hidden(X5,X3) )
& r2_hidden(sK9(X2,X3),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X3,X6] :
( ? [X7] :
( r1_tarski(X7,X6)
& r2_hidden(X7,X3) )
=> ( r1_tarski(sK10(X3,X6),X6)
& r2_hidden(sK10(X3,X6),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_closure3(X0,X1,X2,X3)
| ? [X4] :
( ! [X5] :
( ~ r1_tarski(X5,X4)
| ~ r2_hidden(X5,X3) )
& r2_hidden(X4,X2) ) )
& ( ! [X6] :
( ? [X7] :
( r1_tarski(X7,X6)
& r2_hidden(X7,X3) )
| ~ r2_hidden(X6,X2) )
| ~ r2_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] :
( ( ( r2_closure3(X0,X1,X2,X3)
| ? [X4] :
( ! [X5] :
( ~ r1_tarski(X5,X4)
| ~ r2_hidden(X5,X3) )
& r2_hidden(X4,X2) ) )
& ( ! [X4] :
( ? [X5] :
( r1_tarski(X5,X4)
& r2_hidden(X5,X3) )
| ~ r2_hidden(X4,X2) )
| ~ r2_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] :
( ( r2_closure3(X0,X1,X2,X3)
<=> ! [X4] :
( ? [X5] :
( r1_tarski(X5,X4)
& r2_hidden(X5,X3) )
| ~ r2_hidden(X4,X2) ) )
| ~ 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)))
=> ( r2_closure3(X0,X1,X2,X3)
<=> ! [X4] :
~ ( ! [X5] :
~ ( r1_tarski(X5,X4)
& r2_hidden(X5,X3) )
& r2_hidden(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_closure3) ).
fof(f87,plain,
m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f65]) ).
fof(f1369,plain,
( ~ r2_hidden(sK9(sK2,sK4),sK2)
| spl13_133 ),
inference(resolution,[],[f1349,f601]) ).
fof(f601,plain,
! [X0] :
( r2_hidden(sK10(sK3,X0),sK3)
| ~ r2_hidden(X0,sK2) ),
inference(subsumption_resolution,[],[f594,f88]) ).
fof(f88,plain,
r2_closure3(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f65]) ).
fof(f594,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK2,sK3)
| r2_hidden(sK10(sK3,X0),sK3)
| ~ r2_hidden(X0,sK2) ),
inference(resolution,[],[f144,f85]) ).
fof(f144,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_closure3(sK0,sK1,X1,sK3)
| r2_hidden(sK10(sK3,X0),sK3)
| ~ r2_hidden(X0,X1) ),
inference(subsumption_resolution,[],[f136,f84]) ).
fof(f136,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_closure3(sK0,sK1,X1,sK3)
| r2_hidden(sK10(sK3,X0),sK3)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f86,f99]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X6,X2)
| ~ r2_closure3(X0,X1,X2,X3)
| r2_hidden(sK10(X3,X6),X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f86,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f65]) ).
fof(f1349,plain,
( ~ r2_hidden(sK10(sK3,sK9(sK2,sK4)),sK3)
| spl13_133 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f1347,plain,
( spl13_133
<=> r2_hidden(sK10(sK3,sK9(sK2,sK4)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_133])]) ).
fof(f1367,plain,
~ spl13_133,
inference(avatar_split_clause,[],[f1366,f1347]) ).
fof(f1366,plain,
~ r2_hidden(sK10(sK3,sK9(sK2,sK4)),sK3),
inference(subsumption_resolution,[],[f1345,f829]) ).
fof(f829,plain,
! [X0] :
( r2_hidden(sK10(sK4,X0),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(subsumption_resolution,[],[f823,f89]) ).
fof(f89,plain,
r2_closure3(sK0,sK1,sK3,sK4),
inference(cnf_transformation,[],[f65]) ).
fof(f823,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK3,sK4)
| r2_hidden(sK10(sK4,X0),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(resolution,[],[f156,f86]) ).
fof(f156,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_closure3(sK0,sK1,X1,sK4)
| r2_hidden(sK10(sK4,X0),sK4)
| ~ r2_hidden(X0,X1) ),
inference(subsumption_resolution,[],[f148,f84]) ).
fof(f148,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_closure3(sK0,sK1,X1,sK4)
| r2_hidden(sK10(sK4,X0),sK4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f87,f99]) ).
fof(f1345,plain,
( ~ r2_hidden(sK10(sK4,sK10(sK3,sK9(sK2,sK4))),sK4)
| ~ r2_hidden(sK10(sK3,sK9(sK2,sK4)),sK3) ),
inference(resolution,[],[f1245,f879]) ).
fof(f879,plain,
! [X0] :
( r1_tarski(sK10(sK4,X0),X0)
| ~ r2_hidden(X0,sK3) ),
inference(subsumption_resolution,[],[f873,f89]) ).
fof(f873,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK3,sK4)
| r1_tarski(sK10(sK4,X0),X0)
| ~ r2_hidden(X0,sK3) ),
inference(resolution,[],[f157,f86]) ).
fof(f157,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_closure3(sK0,sK1,X1,sK4)
| r1_tarski(sK10(sK4,X0),X0)
| ~ r2_hidden(X0,X1) ),
inference(subsumption_resolution,[],[f149,f84]) ).
fof(f149,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_closure3(sK0,sK1,X1,sK4)
| r1_tarski(sK10(sK4,X0),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f87,f100]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X6,X2)
| ~ r2_closure3(X0,X1,X2,X3)
| r1_tarski(sK10(X3,X6),X6)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f1245,plain,
! [X0] :
( ~ r1_tarski(X0,sK10(sK3,sK9(sK2,sK4)))
| ~ r2_hidden(X0,sK4) ),
inference(subsumption_resolution,[],[f1241,f367]) ).
fof(f1241,plain,
! [X0] :
( ~ r2_hidden(X0,sK4)
| ~ r1_tarski(X0,sK10(sK3,sK9(sK2,sK4)))
| ~ r2_hidden(sK9(sK2,sK4),sK2) ),
inference(resolution,[],[f1065,f636]) ).
fof(f636,plain,
! [X0] :
( r1_tarski(sK10(sK3,X0),X0)
| ~ r2_hidden(X0,sK2) ),
inference(subsumption_resolution,[],[f629,f88]) ).
fof(f629,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK2,sK3)
| r1_tarski(sK10(sK3,X0),X0)
| ~ r2_hidden(X0,sK2) ),
inference(resolution,[],[f145,f85]) ).
fof(f145,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_closure3(sK0,sK1,X1,sK3)
| r1_tarski(sK10(sK3,X0),X0)
| ~ r2_hidden(X0,X1) ),
inference(subsumption_resolution,[],[f137,f84]) ).
fof(f137,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_closure3(sK0,sK1,X1,sK3)
| r1_tarski(sK10(sK3,X0),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f86,f100]) ).
fof(f1065,plain,
! [X0,X1] :
( ~ r1_tarski(X1,sK9(sK2,sK4))
| ~ r2_hidden(X0,sK4)
| ~ r1_tarski(X0,X1) ),
inference(resolution,[],[f1027,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/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f1027,plain,
! [X0] :
( ~ r1_tarski(X0,sK9(sK2,sK4))
| ~ r2_hidden(X0,sK4) ),
inference(subsumption_resolution,[],[f1020,f90]) ).
fof(f1020,plain,
! [X0] :
( ~ r2_hidden(X0,sK4)
| r2_closure3(sK0,sK1,sK2,sK4)
| ~ r1_tarski(X0,sK9(sK2,sK4)) ),
inference(resolution,[],[f159,f85]) ).
fof(f159,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,sK4)
| r2_closure3(sK0,sK1,X1,sK4)
| ~ r1_tarski(X0,sK9(X1,sK4)) ),
inference(subsumption_resolution,[],[f151,f84]) ).
fof(f151,plain,
! [X0,X1] :
( ~ r1_tarski(X0,sK9(X1,sK4))
| ~ r2_hidden(X0,sK4)
| r2_closure3(sK0,sK1,X1,sK4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f87,f102]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r1_tarski(X5,sK9(X2,X3))
| ~ r2_hidden(X5,X3)
| r2_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG224+1 : TPTP v8.2.0. Released v3.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat May 18 22:50:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.79 % (28969)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.79 % (28964)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 (2995ds/34Mi)
% 0.61/0.79 % (28965)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 (2995ds/51Mi)
% 0.61/0.79 % (28966)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.79 % (28968)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 (2995ds/34Mi)
% 0.61/0.79 % (28971)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 (2995ds/56Mi)
% 0.61/0.79 % (28970)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 (2995ds/83Mi)
% 0.61/0.79 % (28967)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.80 % (28967)Instruction limit reached!
% 0.61/0.80 % (28967)------------------------------
% 0.61/0.80 % (28967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (28967)Termination reason: Unknown
% 0.61/0.80 % (28967)Termination phase: Saturation
% 0.61/0.80
% 0.61/0.80 % (28967)Memory used [KB]: 1420
% 0.61/0.80 % (28967)Time elapsed: 0.015 s
% 0.61/0.80 % (28967)Instructions burned: 34 (million)
% 0.61/0.80 % (28967)------------------------------
% 0.61/0.80 % (28967)------------------------------
% 0.61/0.80 % (28969)First to succeed.
% 0.61/0.80 % (28964)Instruction limit reached!
% 0.61/0.80 % (28964)------------------------------
% 0.61/0.80 % (28964)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (28964)Termination reason: Unknown
% 0.61/0.80 % (28964)Termination phase: Saturation
% 0.61/0.80
% 0.61/0.80 % (28964)Memory used [KB]: 1366
% 0.61/0.80 % (28964)Time elapsed: 0.019 s
% 0.61/0.80 % (28964)Instructions burned: 34 (million)
% 0.61/0.80 % (28964)------------------------------
% 0.61/0.80 % (28964)------------------------------
% 0.61/0.81 % (28968)Instruction limit reached!
% 0.61/0.81 % (28968)------------------------------
% 0.61/0.81 % (28968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (28968)Termination reason: Unknown
% 0.61/0.81 % (28968)Termination phase: Saturation
% 0.61/0.81
% 0.61/0.81 % (28968)Memory used [KB]: 1521
% 0.61/0.81 % (28968)Time elapsed: 0.019 s
% 0.61/0.81 % (28968)Instructions burned: 34 (million)
% 0.61/0.81 % (28968)------------------------------
% 0.61/0.81 % (28968)------------------------------
% 0.61/0.81 % (28969)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28962"
% 0.61/0.81 % (28972)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 (2995ds/55Mi)
% 0.61/0.81 % (28969)Refutation found. Thanks to Tanya!
% 0.61/0.81 % SZS status Theorem for theBenchmark
% 0.61/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.81 % (28969)------------------------------
% 0.61/0.81 % (28969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (28969)Termination reason: Refutation
% 0.61/0.81
% 0.61/0.81 % (28969)Memory used [KB]: 1429
% 0.61/0.81 % (28969)Time elapsed: 0.016 s
% 0.61/0.81 % (28969)Instructions burned: 29 (million)
% 0.61/0.81 % (28962)Success in time 0.454 s
% 0.61/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------