TSTP Solution File: ALG223+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG223+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.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 : Wed Aug 31 15:43:46 EDT 2022
% Result : Theorem 2.22s 0.66s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 12 unt; 0 def)
% Number of atoms : 275 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 343 ( 132 ~; 114 |; 74 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 149 ( 115 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2370,plain,
$false,
inference(subsumption_resolution,[],[f2369,f833]) ).
fof(f833,plain,
r2_hidden(sK18(sK5,sK3),sK3),
inference(subsumption_resolution,[],[f773,f152]) ).
fof(f152,plain,
~ r1_closure3(sK1,sK2,sK5,sK3),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& m1_subset_1(sK5,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& r1_closure3(sK1,sK2,sK5,sK4)
& ~ r1_closure3(sK1,sK2,sK5,sK3)
& r1_closure3(sK1,sK2,sK4,sK3)
& m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& m1_pboole(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f77,f99,f98,f97,f96]) ).
fof(f96,plain,
( ? [X0,X1] :
( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
& ? [X3] :
( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
& r1_closure3(X0,X1,X4,X3)
& ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X3,X2) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ) )
& m1_pboole(X1,X0) )
=> ( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& ? [X3] :
( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& r1_closure3(sK1,sK2,X4,X3)
& ~ r1_closure3(sK1,sK2,X4,X2)
& r1_closure3(sK1,sK2,X3,X2) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK1,sK2))) ) )
& m1_pboole(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& ? [X3] :
( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& r1_closure3(sK1,sK2,X4,X3)
& ~ r1_closure3(sK1,sK2,X4,X2)
& r1_closure3(sK1,sK2,X3,X2) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK1,sK2))) ) )
=> ( m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& ? [X3] :
( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& r1_closure3(sK1,sK2,X4,X3)
& ~ r1_closure3(sK1,sK2,X4,sK3)
& r1_closure3(sK1,sK2,X3,sK3) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK1,sK2))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X3] :
( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& r1_closure3(sK1,sK2,X4,X3)
& ~ r1_closure3(sK1,sK2,X4,sK3)
& r1_closure3(sK1,sK2,X3,sK3) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK1,sK2))) )
=> ( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& r1_closure3(sK1,sK2,X4,sK4)
& ~ r1_closure3(sK1,sK2,X4,sK3)
& r1_closure3(sK1,sK2,sK4,sK3) )
& m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK1,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& r1_closure3(sK1,sK2,X4,sK4)
& ~ r1_closure3(sK1,sK2,X4,sK3)
& r1_closure3(sK1,sK2,sK4,sK3) )
=> ( m1_subset_1(sK5,k1_zfmisc_1(k1_closure2(sK1,sK2)))
& r1_closure3(sK1,sK2,sK5,sK4)
& ~ r1_closure3(sK1,sK2,sK5,sK3)
& r1_closure3(sK1,sK2,sK4,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0,X1] :
( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
& ? [X3] :
( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
& r1_closure3(X0,X1,X4,X3)
& ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X3,X2) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ) )
& m1_pboole(X1,X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X1,X0] :
( ? [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,
~ ! [X1,X0] :
( 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,
! [X1,X0] :
( 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/benchmark/theBenchmark.p',t4_closure3) ).
fof(f773,plain,
( r1_closure3(sK1,sK2,sK5,sK3)
| r2_hidden(sK18(sK5,sK3),sK3) ),
inference(resolution,[],[f342,f154]) ).
fof(f154,plain,
m1_subset_1(sK5,k1_zfmisc_1(k1_closure2(sK1,sK2))),
inference(cnf_transformation,[],[f100]) ).
fof(f342,plain,
! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| r2_hidden(sK18(X2,sK3),sK3)
| r1_closure3(sK1,sK2,X2,sK3) ),
inference(subsumption_resolution,[],[f316,f149]) ).
fof(f149,plain,
m1_pboole(sK2,sK1),
inference(cnf_transformation,[],[f100]) ).
fof(f316,plain,
! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| r1_closure3(sK1,sK2,X2,sK3)
| ~ m1_pboole(sK2,sK1)
| r2_hidden(sK18(X2,sK3),sK3) ),
inference(resolution,[],[f199,f155]) ).
fof(f155,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK1,sK2))),
inference(cnf_transformation,[],[f100]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0)))
| r2_hidden(sK18(X2,X3),X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| r1_closure3(X1,X0,X2,X3)
| ~ m1_pboole(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ m1_pboole(X0,X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0)))
| ( ( ! [X4] :
( ( r2_hidden(sK17(X2,X4),X2)
& r1_tarski(X4,sK17(X2,X4)) )
| ~ r2_hidden(X4,X3) )
| ~ r1_closure3(X1,X0,X2,X3) )
& ( r1_closure3(X1,X0,X2,X3)
| ( ! [X7] :
( ~ r2_hidden(X7,X2)
| ~ r1_tarski(sK18(X2,X3),X7) )
& r2_hidden(sK18(X2,X3),X3) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f134,f136,f135]) ).
fof(f135,plain,
! [X2,X4] :
( ? [X5] :
( r2_hidden(X5,X2)
& r1_tarski(X4,X5) )
=> ( r2_hidden(sK17(X2,X4),X2)
& r1_tarski(X4,sK17(X2,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X2,X3] :
( ? [X6] :
( ! [X7] :
( ~ r2_hidden(X7,X2)
| ~ r1_tarski(X6,X7) )
& r2_hidden(X6,X3) )
=> ( ! [X7] :
( ~ r2_hidden(X7,X2)
| ~ r1_tarski(sK18(X2,X3),X7) )
& r2_hidden(sK18(X2,X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0,X1] :
( ~ m1_pboole(X0,X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0)))
| ( ( ! [X4] :
( ? [X5] :
( r2_hidden(X5,X2)
& r1_tarski(X4,X5) )
| ~ r2_hidden(X4,X3) )
| ~ r1_closure3(X1,X0,X2,X3) )
& ( r1_closure3(X1,X0,X2,X3)
| ? [X6] :
( ! [X7] :
( ~ r2_hidden(X7,X2)
| ~ r1_tarski(X6,X7) )
& r2_hidden(X6,X3) ) ) ) ) ) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
! [X1,X0] :
( ~ 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] :
( ? [X5] :
( r2_hidden(X5,X2)
& r1_tarski(X4,X5) )
| ~ r2_hidden(X4,X3) )
| ~ r1_closure3(X0,X1,X2,X3) )
& ( r1_closure3(X0,X1,X2,X3)
| ? [X4] :
( ! [X5] :
( ~ r2_hidden(X5,X2)
| ~ r1_tarski(X4,X5) )
& r2_hidden(X4,X3) ) ) ) ) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ~ 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] :
( ? [X5] :
( r2_hidden(X5,X2)
& r1_tarski(X4,X5) )
| ~ r2_hidden(X4,X3) )
<=> r1_closure3(X0,X1,X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( 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] :
~ ( r2_hidden(X4,X3)
& ! [X5] :
~ ( r2_hidden(X5,X2)
& r1_tarski(X4,X5) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_closure3) ).
fof(f2369,plain,
~ r2_hidden(sK18(sK5,sK3),sK3),
inference(resolution,[],[f2360,f1195]) ).
fof(f1195,plain,
! [X1] :
( r2_hidden(sK17(sK4,X1),sK4)
| ~ r2_hidden(X1,sK3) ),
inference(subsumption_resolution,[],[f1126,f151]) ).
fof(f151,plain,
r1_closure3(sK1,sK2,sK4,sK3),
inference(cnf_transformation,[],[f100]) ).
fof(f1126,plain,
! [X1] :
( r2_hidden(sK17(sK4,X1),sK4)
| ~ r2_hidden(X1,sK3)
| ~ r1_closure3(sK1,sK2,sK4,sK3) ),
inference(resolution,[],[f678,f150]) ).
fof(f150,plain,
m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK1,sK2))),
inference(cnf_transformation,[],[f100]) ).
fof(f678,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r1_closure3(sK1,sK2,X0,sK3)
| ~ r2_hidden(X1,sK3)
| r2_hidden(sK17(X0,X1),X0) ),
inference(subsumption_resolution,[],[f663,f149]) ).
fof(f663,plain,
! [X0,X1] :
( ~ m1_pboole(sK2,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| r2_hidden(sK17(X0,X1),X0)
| ~ r2_hidden(X1,sK3)
| ~ r1_closure3(sK1,sK2,X0,sK3) ),
inference(resolution,[],[f202,f155]) ).
fof(f202,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0)))
| ~ r1_closure3(X1,X0,X2,X3)
| r2_hidden(sK17(X2,X4),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| ~ r2_hidden(X4,X3)
| ~ m1_pboole(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f2360,plain,
~ r2_hidden(sK17(sK4,sK18(sK5,sK3)),sK4),
inference(resolution,[],[f2351,f1169]) ).
fof(f1169,plain,
! [X2] :
( r2_hidden(sK17(sK5,X2),sK5)
| ~ r2_hidden(X2,sK4) ),
inference(subsumption_resolution,[],[f1096,f153]) ).
fof(f153,plain,
r1_closure3(sK1,sK2,sK5,sK4),
inference(cnf_transformation,[],[f100]) ).
fof(f1096,plain,
! [X2] :
( ~ r2_hidden(X2,sK4)
| r2_hidden(sK17(sK5,X2),sK5)
| ~ r1_closure3(sK1,sK2,sK5,sK4) ),
inference(resolution,[],[f676,f154]) ).
fof(f676,plain,
! [X2,X3] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r1_closure3(sK1,sK2,X2,sK4)
| ~ r2_hidden(X3,sK4)
| r2_hidden(sK17(X2,X3),X2) ),
inference(subsumption_resolution,[],[f664,f149]) ).
fof(f664,plain,
! [X2,X3] :
( r2_hidden(sK17(X2,X3),X2)
| ~ m1_pboole(sK2,sK1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r2_hidden(X3,sK4)
| ~ r1_closure3(sK1,sK2,X2,sK4) ),
inference(resolution,[],[f202,f150]) ).
fof(f2351,plain,
~ r2_hidden(sK17(sK5,sK17(sK4,sK18(sK5,sK3))),sK5),
inference(subsumption_resolution,[],[f2347,f833]) ).
fof(f2347,plain,
( ~ r2_hidden(sK18(sK5,sK3),sK3)
| ~ r2_hidden(sK17(sK5,sK17(sK4,sK18(sK5,sK3))),sK5) ),
inference(resolution,[],[f2302,f913]) ).
fof(f913,plain,
! [X2] :
( ~ r1_tarski(sK18(sK5,sK3),X2)
| ~ r2_hidden(X2,sK5) ),
inference(subsumption_resolution,[],[f900,f152]) ).
fof(f900,plain,
! [X2] :
( ~ r1_tarski(sK18(sK5,sK3),X2)
| ~ r2_hidden(X2,sK5)
| r1_closure3(sK1,sK2,sK5,sK3) ),
inference(resolution,[],[f636,f154]) ).
fof(f636,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| r1_closure3(sK1,sK2,X1,sK3)
| ~ r2_hidden(X0,X1)
| ~ r1_tarski(sK18(X1,sK3),X0) ),
inference(subsumption_resolution,[],[f632,f149]) ).
fof(f632,plain,
! [X0,X1] :
( ~ r1_tarski(sK18(X1,sK3),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r2_hidden(X0,X1)
| r1_closure3(sK1,sK2,X1,sK3)
| ~ m1_pboole(sK2,sK1) ),
inference(resolution,[],[f155,f200]) ).
fof(f200,plain,
! [X2,X3,X0,X1,X7] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0)))
| ~ r2_hidden(X7,X2)
| ~ r1_tarski(sK18(X2,X3),X7)
| ~ m1_pboole(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| r1_closure3(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f2302,plain,
! [X10] :
( r1_tarski(X10,sK17(sK5,sK17(sK4,X10)))
| ~ r2_hidden(X10,sK3) ),
inference(subsumption_resolution,[],[f2269,f1195]) ).
fof(f2269,plain,
! [X10] :
( ~ r2_hidden(sK17(sK4,X10),sK4)
| ~ r2_hidden(X10,sK3)
| r1_tarski(X10,sK17(sK5,sK17(sK4,X10))) ),
inference(resolution,[],[f1277,f1006]) ).
fof(f1006,plain,
! [X2] :
( r1_tarski(X2,sK17(sK5,X2))
| ~ r2_hidden(X2,sK4) ),
inference(subsumption_resolution,[],[f993,f153]) ).
fof(f993,plain,
! [X2] :
( r1_tarski(X2,sK17(sK5,X2))
| ~ r2_hidden(X2,sK4)
| ~ r1_closure3(sK1,sK2,sK5,sK4) ),
inference(resolution,[],[f659,f154]) ).
fof(f659,plain,
! [X2,X3] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r2_hidden(X3,sK4)
| r1_tarski(X3,sK17(X2,X3))
| ~ r1_closure3(sK1,sK2,X2,sK4) ),
inference(subsumption_resolution,[],[f644,f149]) ).
fof(f644,plain,
! [X2,X3] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r2_hidden(X3,sK4)
| ~ m1_pboole(sK2,sK1)
| r1_tarski(X3,sK17(X2,X3))
| ~ r1_closure3(sK1,sK2,X2,sK4) ),
inference(resolution,[],[f201,f150]) ).
fof(f201,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| ~ r1_closure3(X1,X0,X2,X3)
| ~ r2_hidden(X4,X3)
| ~ m1_pboole(X0,X1)
| r1_tarski(X4,sK17(X2,X4)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1277,plain,
! [X14,X15] :
( ~ r1_tarski(sK17(sK4,X14),X15)
| ~ r2_hidden(X14,sK3)
| r1_tarski(X14,X15) ),
inference(resolution,[],[f184,f975]) ).
fof(f975,plain,
! [X1] :
( r1_tarski(X1,sK17(sK4,X1))
| ~ r2_hidden(X1,sK3) ),
inference(subsumption_resolution,[],[f954,f151]) ).
fof(f954,plain,
! [X1] :
( r1_tarski(X1,sK17(sK4,X1))
| ~ r2_hidden(X1,sK3)
| ~ r1_closure3(sK1,sK2,sK4,sK3) ),
inference(resolution,[],[f658,f150]) ).
fof(f658,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ r1_closure3(sK1,sK2,X0,sK3)
| ~ r2_hidden(X1,sK3)
| r1_tarski(X1,sK17(X0,X1)) ),
inference(subsumption_resolution,[],[f643,f149]) ).
fof(f643,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK1,sK2)))
| ~ m1_pboole(sK2,sK1)
| r1_tarski(X1,sK17(X0,X1))
| ~ r1_closure3(sK1,sK2,X0,sK3)
| ~ r2_hidden(X1,sK3) ),
inference(resolution,[],[f201,f155]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X2)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X2)
| r1_tarski(X1,X2) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X1,X2,X0] :
( r1_tarski(X1,X2)
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X2,X0] :
( ( r1_tarski(X1,X0)
& r1_tarski(X0,X2) )
=> r1_tarski(X1,X2) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X1,X0,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG223+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.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 : Mon Aug 29 14:59:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (11895)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.46 % (11887)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.47 % (11879)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48 TRYING [1]
% 0.19/0.49 TRYING [2]
% 0.19/0.49 TRYING [3]
% 0.19/0.49 % (11893)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51 % (11901)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51 % (11885)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (11878)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 TRYING [4]
% 0.19/0.52 % (11884)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (11877)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (11888)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (11892)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (11873)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (11902)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (11898)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (11897)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (11880)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (11899)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (11876)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (11894)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (11896)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (11889)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (11890)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (11900)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.54 % (11874)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (11875)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.54 % (11880)Instruction limit reached!
% 0.19/0.54 % (11880)------------------------------
% 0.19/0.54 % (11880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11874)Refutation not found, incomplete strategy% (11874)------------------------------
% 0.19/0.54 % (11874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11874)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (11874)Memory used [KB]: 5628
% 0.19/0.54 % (11874)Time elapsed: 0.134 s
% 0.19/0.54 % (11874)Instructions burned: 6 (million)
% 0.19/0.54 % (11874)------------------------------
% 0.19/0.54 % (11874)------------------------------
% 0.19/0.54 % (11883)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (11891)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (11881)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (11881)Instruction limit reached!
% 0.19/0.54 % (11881)------------------------------
% 0.19/0.54 % (11881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11881)Termination reason: Unknown
% 0.19/0.54 % (11881)Termination phase: Blocked clause elimination
% 0.19/0.54
% 0.19/0.54 % (11881)Memory used [KB]: 1023
% 0.19/0.54 % (11881)Time elapsed: 0.003 s
% 0.19/0.54 % (11881)Instructions burned: 3 (million)
% 0.19/0.54 % (11881)------------------------------
% 0.19/0.54 % (11881)------------------------------
% 0.19/0.54 % (11882)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (11886)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 TRYING [4]
% 0.19/0.55 % (11880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (11880)Termination reason: Unknown
% 0.19/0.55 % (11880)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (11880)Memory used [KB]: 5628
% 0.19/0.55 % (11880)Time elapsed: 0.140 s
% 0.19/0.55 % (11880)Instructions burned: 8 (million)
% 0.19/0.55 % (11880)------------------------------
% 0.19/0.55 % (11880)------------------------------
% 0.19/0.56 TRYING [1]
% 0.19/0.56 TRYING [2]
% 0.19/0.56 TRYING [3]
% 0.19/0.56 % (11879)Instruction limit reached!
% 0.19/0.56 % (11879)------------------------------
% 0.19/0.56 % (11879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (11879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (11879)Termination reason: Unknown
% 0.19/0.56 % (11879)Termination phase: Finite model building SAT solving
% 0.19/0.56
% 0.19/0.56 % (11879)Memory used [KB]: 7164
% 0.19/0.56 % (11879)Time elapsed: 0.104 s
% 0.19/0.56 % (11879)Instructions burned: 52 (million)
% 0.19/0.56 % (11879)------------------------------
% 0.19/0.56 % (11879)------------------------------
% 0.19/0.58 TRYING [5]
% 0.19/0.58 TRYING [4]
% 0.19/0.59 % (11887)Instruction limit reached!
% 0.19/0.59 % (11887)------------------------------
% 0.19/0.59 % (11887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (11887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (11887)Termination reason: Unknown
% 0.19/0.59 % (11887)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (11887)Memory used [KB]: 6524
% 0.19/0.59 % (11887)Time elapsed: 0.065 s
% 0.19/0.59 % (11887)Instructions burned: 69 (million)
% 0.19/0.59 % (11887)------------------------------
% 0.19/0.59 % (11887)------------------------------
% 0.19/0.59 % (11875)Instruction limit reached!
% 0.19/0.59 % (11875)------------------------------
% 0.19/0.59 % (11875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (11875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (11875)Termination reason: Unknown
% 0.19/0.60 % (11875)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (11875)Memory used [KB]: 1407
% 0.19/0.60 % (11875)Time elapsed: 0.199 s
% 0.19/0.60 % (11875)Instructions burned: 37 (million)
% 0.19/0.60 % (11875)------------------------------
% 0.19/0.60 % (11875)------------------------------
% 0.19/0.61 TRYING [5]
% 2.03/0.61 % (11876)Instruction limit reached!
% 2.03/0.61 % (11876)------------------------------
% 2.03/0.61 % (11876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.61 % (11890)Instruction limit reached!
% 2.03/0.61 % (11890)------------------------------
% 2.03/0.61 % (11890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62 % (11890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62 % (11890)Termination reason: Unknown
% 2.03/0.62 % (11890)Termination phase: Finite model building constraint generation
% 2.03/0.62
% 2.03/0.62 % (11890)Memory used [KB]: 7419
% 2.03/0.62 % (11890)Time elapsed: 0.204 s
% 2.03/0.62 % (11890)Instructions burned: 59 (million)
% 2.03/0.62 % (11890)------------------------------
% 2.03/0.62 % (11890)------------------------------
% 2.03/0.62 % (11878)Instruction limit reached!
% 2.03/0.62 % (11878)------------------------------
% 2.03/0.62 % (11878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62 % (11878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62 % (11878)Termination reason: Unknown
% 2.03/0.62 % (11878)Termination phase: Saturation
% 2.03/0.62
% 2.03/0.62 % (11878)Memory used [KB]: 6012
% 2.03/0.62 % (11878)Time elapsed: 0.206 s
% 2.03/0.62 % (11878)Instructions burned: 48 (million)
% 2.03/0.62 % (11878)------------------------------
% 2.03/0.62 % (11878)------------------------------
% 2.03/0.62 % (11882)Instruction limit reached!
% 2.03/0.62 % (11882)------------------------------
% 2.03/0.62 % (11882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62 % (11882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62 % (11882)Termination reason: Unknown
% 2.03/0.62 % (11882)Termination phase: Saturation
% 2.03/0.62
% 2.03/0.62 % (11882)Memory used [KB]: 2046
% 2.03/0.62 % (11882)Time elapsed: 0.228 s
% 2.03/0.62 % (11882)Instructions burned: 51 (million)
% 2.03/0.62 % (11882)------------------------------
% 2.03/0.62 % (11882)------------------------------
% 2.03/0.62 % (11877)Instruction limit reached!
% 2.03/0.62 % (11877)------------------------------
% 2.03/0.62 % (11877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62 % (11877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62 % (11877)Termination reason: Unknown
% 2.03/0.62 % (11877)Termination phase: Saturation
% 2.03/0.62
% 2.03/0.62 % (11877)Memory used [KB]: 6140
% 2.03/0.62 % (11877)Time elapsed: 0.188 s
% 2.03/0.62 % (11877)Instructions burned: 51 (million)
% 2.03/0.62 % (11877)------------------------------
% 2.03/0.62 % (11877)------------------------------
% 2.22/0.63 % (11876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.63 % (11876)Termination reason: Unknown
% 2.22/0.63 % (11876)Termination phase: Saturation
% 2.22/0.63
% 2.22/0.63 % (11876)Memory used [KB]: 6396
% 2.22/0.63 % (11876)Time elapsed: 0.211 s
% 2.22/0.63 % (11876)Instructions burned: 51 (million)
% 2.22/0.63 % (11876)------------------------------
% 2.22/0.63 % (11876)------------------------------
% 2.22/0.63 % (11883)Instruction limit reached!
% 2.22/0.63 % (11883)------------------------------
% 2.22/0.63 % (11883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.63 % (11883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.63 % (11883)Termination reason: Unknown
% 2.22/0.63 % (11883)Termination phase: Saturation
% 2.22/0.63
% 2.22/0.63 % (11883)Memory used [KB]: 6652
% 2.22/0.63 % (11883)Time elapsed: 0.232 s
% 2.22/0.63 % (11883)Instructions burned: 51 (million)
% 2.22/0.63 % (11883)------------------------------
% 2.22/0.63 % (11883)------------------------------
% 2.22/0.64 TRYING [6]
% 2.22/0.65 % (11893)First to succeed.
% 2.22/0.66 % (11893)Refutation found. Thanks to Tanya!
% 2.22/0.66 % SZS status Theorem for theBenchmark
% 2.22/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.66 % (11893)------------------------------
% 2.22/0.66 % (11893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66 % (11893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66 % (11893)Termination reason: Refutation
% 2.22/0.66
% 2.22/0.66 % (11893)Memory used [KB]: 6908
% 2.22/0.66 % (11893)Time elapsed: 0.238 s
% 2.22/0.66 % (11893)Instructions burned: 78 (million)
% 2.22/0.66 % (11893)------------------------------
% 2.22/0.66 % (11893)------------------------------
% 2.22/0.66 % (11872)Success in time 0.307 s
%------------------------------------------------------------------------------