TSTP Solution File: ALG224+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG224+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_uns --cores 0 -t %d %s
% Computer : n013.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 15:40:56 EDT 2022
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 65 ( 11 unt; 0 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 362 ( 143 ~; 116 |; 76 &)
% ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 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 : 146 ( 112 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f640,plain,
$false,
inference(subsumption_resolution,[],[f637,f253]) ).
fof(f253,plain,
r2_hidden(sK3(sK18,sK20),sK18),
inference(subsumption_resolution,[],[f252,f203]) ).
fof(f203,plain,
m1_subset_1(sK20,k1_zfmisc_1(k1_closure2(sK16,sK17))),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17)))
& ~ r2_closure3(sK16,sK17,sK18,sK20)
& r2_closure3(sK16,sK17,sK18,sK19)
& r2_closure3(sK16,sK17,sK19,sK20)
& m1_subset_1(sK20,k1_zfmisc_1(k1_closure2(sK16,sK17)))
& m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17)))
& m1_pboole(sK17,sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20])],[f71,f141,f140,f139,f138]) ).
fof(f138,plain,
( ? [X0,X1] :
( ? [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
& ? [X4] :
( ~ r2_closure3(X0,X1,X2,X4)
& r2_closure3(X0,X1,X2,X3)
& r2_closure3(X0,X1,X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) ) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) )
=> ( ? [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK16,sK17)))
& ? [X4] :
( ~ r2_closure3(sK16,sK17,X2,X4)
& r2_closure3(sK16,sK17,X2,X3)
& r2_closure3(sK16,sK17,X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK16,sK17))) ) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK16,sK17))) )
& m1_pboole(sK17,sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
( ? [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK16,sK17)))
& ? [X4] :
( ~ r2_closure3(sK16,sK17,X2,X4)
& r2_closure3(sK16,sK17,X2,X3)
& r2_closure3(sK16,sK17,X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK16,sK17))) ) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK16,sK17))) )
=> ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK16,sK17)))
& ? [X4] :
( ~ r2_closure3(sK16,sK17,sK18,X4)
& r2_closure3(sK16,sK17,sK18,X3)
& r2_closure3(sK16,sK17,X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK16,sK17))) ) )
& m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17))) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK16,sK17)))
& ? [X4] :
( ~ r2_closure3(sK16,sK17,sK18,X4)
& r2_closure3(sK16,sK17,sK18,X3)
& r2_closure3(sK16,sK17,X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK16,sK17))) ) )
=> ( m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17)))
& ? [X4] :
( ~ r2_closure3(sK16,sK17,sK18,X4)
& r2_closure3(sK16,sK17,sK18,sK19)
& r2_closure3(sK16,sK17,sK19,X4)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK16,sK17))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X4] :
( ~ r2_closure3(sK16,sK17,sK18,X4)
& r2_closure3(sK16,sK17,sK18,sK19)
& r2_closure3(sK16,sK17,sK19,X4)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK16,sK17))) )
=> ( ~ r2_closure3(sK16,sK17,sK18,sK20)
& r2_closure3(sK16,sK17,sK18,sK19)
& r2_closure3(sK16,sK17,sK19,sK20)
& m1_subset_1(sK20,k1_zfmisc_1(k1_closure2(sK16,sK17))) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
& ? [X4] :
( ~ r2_closure3(X0,X1,X2,X4)
& r2_closure3(X0,X1,X2,X3)
& r2_closure3(X0,X1,X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) ) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
? [X1,X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r2_closure3(X0,X1,X2,X4)
& r2_closure3(X0,X1,X2,X3)
& r2_closure3(X0,X1,X3,X4)
& 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)))
=> ( ( r2_closure3(X0,X1,X2,X3)
& r2_closure3(X0,X1,X3,X4) )
=> r2_closure3(X0,X1,X2,X4) ) ) ) ) ),
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)))
=> ( ( r2_closure3(X0,X1,X2,X3)
& r2_closure3(X0,X1,X3,X4) )
=> r2_closure3(X0,X1,X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_closure3) ).
fof(f252,plain,
( r2_hidden(sK3(sK18,sK20),sK18)
| ~ m1_subset_1(sK20,k1_zfmisc_1(k1_closure2(sK16,sK17))) ),
inference(subsumption_resolution,[],[f251,f202]) ).
fof(f202,plain,
m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17))),
inference(cnf_transformation,[],[f142]) ).
fof(f251,plain,
( r2_hidden(sK3(sK18,sK20),sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ m1_subset_1(sK20,k1_zfmisc_1(k1_closure2(sK16,sK17))) ),
inference(subsumption_resolution,[],[f249,f201]) ).
fof(f201,plain,
m1_pboole(sK17,sK16),
inference(cnf_transformation,[],[f142]) ).
fof(f249,plain,
( ~ m1_pboole(sK17,sK16)
| ~ m1_subset_1(sK20,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| r2_hidden(sK3(sK18,sK20),sK18) ),
inference(resolution,[],[f206,f156]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK3(X2,X3),X2)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ! [X3] :
( ( ( r2_closure3(X0,X1,X2,X3)
| ( ! [X5] :
( ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,sK3(X2,X3)) )
& r2_hidden(sK3(X2,X3),X2) ) )
& ( ! [X6] :
( ( r2_hidden(sK4(X3,X6),X3)
& r1_tarski(sK4(X3,X6),X6) )
| ~ r2_hidden(X6,X2) )
| ~ r2_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ) )
| ~ m1_pboole(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f103,f105,f104]) ).
fof(f104,plain,
! [X2,X3] :
( ? [X4] :
( ! [X5] :
( ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,X4) )
& r2_hidden(X4,X2) )
=> ( ! [X5] :
( ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,sK3(X2,X3)) )
& r2_hidden(sK3(X2,X3),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X3,X6] :
( ? [X7] :
( r2_hidden(X7,X3)
& r1_tarski(X7,X6) )
=> ( r2_hidden(sK4(X3,X6),X3)
& r1_tarski(sK4(X3,X6),X6) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ! [X3] :
( ( ( r2_closure3(X0,X1,X2,X3)
| ? [X4] :
( ! [X5] :
( ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,X4) )
& r2_hidden(X4,X2) ) )
& ( ! [X6] :
( ? [X7] :
( r2_hidden(X7,X3)
& r1_tarski(X7,X6) )
| ~ r2_hidden(X6,X2) )
| ~ r2_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ) )
| ~ m1_pboole(X1,X0) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X1,X0] :
( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| ! [X3] :
( ( ( r2_closure3(X1,X0,X2,X3)
| ? [X4] :
( ! [X5] :
( ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,X4) )
& r2_hidden(X4,X2) ) )
& ( ! [X4] :
( ? [X5] :
( r2_hidden(X5,X3)
& r1_tarski(X5,X4) )
| ~ r2_hidden(X4,X2) )
| ~ r2_closure3(X1,X0,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0))) ) )
| ~ m1_pboole(X0,X1) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| ! [X3] :
( ( r2_closure3(X1,X0,X2,X3)
<=> ! [X4] :
( ? [X5] :
( r2_hidden(X5,X3)
& r1_tarski(X5,X4) )
| ~ r2_hidden(X4,X2) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0))) ) )
| ~ m1_pboole(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( 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(X4,X2)
& ! [X5] :
~ ( r2_hidden(X5,X3)
& r1_tarski(X5,X4) ) )
<=> r2_closure3(X1,X0,X2,X3) ) ) ) ),
inference(rectify,[],[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)))
=> ( ! [X4] :
~ ( r2_hidden(X4,X2)
& ! [X5] :
~ ( r2_hidden(X5,X3)
& r1_tarski(X5,X4) ) )
<=> r2_closure3(X0,X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_closure3) ).
fof(f206,plain,
~ r2_closure3(sK16,sK17,sK18,sK20),
inference(cnf_transformation,[],[f142]) ).
fof(f637,plain,
~ r2_hidden(sK3(sK18,sK20),sK18),
inference(resolution,[],[f591,f248]) ).
fof(f248,plain,
! [X1] :
( r2_hidden(sK4(sK19,X1),sK19)
| ~ r2_hidden(X1,sK18) ),
inference(subsumption_resolution,[],[f247,f202]) ).
fof(f247,plain,
! [X1] :
( ~ r2_hidden(X1,sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| r2_hidden(sK4(sK19,X1),sK19) ),
inference(subsumption_resolution,[],[f246,f207]) ).
fof(f207,plain,
m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17))),
inference(cnf_transformation,[],[f142]) ).
fof(f246,plain,
! [X1] :
( ~ r2_hidden(X1,sK18)
| ~ m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| r2_hidden(sK4(sK19,X1),sK19)
| ~ m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17))) ),
inference(subsumption_resolution,[],[f242,f201]) ).
fof(f242,plain,
! [X1] :
( ~ m1_pboole(sK17,sK16)
| ~ m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ r2_hidden(X1,sK18)
| r2_hidden(sK4(sK19,X1),sK19)
| ~ m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17))) ),
inference(resolution,[],[f205,f155]) ).
fof(f155,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK4(X3,X6),X3)
| ~ r2_hidden(X6,X2)
| ~ r2_closure3(X0,X1,X2,X3)
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f205,plain,
r2_closure3(sK16,sK17,sK18,sK19),
inference(cnf_transformation,[],[f142]) ).
fof(f591,plain,
~ r2_hidden(sK4(sK19,sK3(sK18,sK20)),sK19),
inference(subsumption_resolution,[],[f590,f253]) ).
fof(f590,plain,
( ~ r2_hidden(sK3(sK18,sK20),sK18)
| ~ r2_hidden(sK4(sK19,sK3(sK18,sK20)),sK19) ),
inference(resolution,[],[f517,f245]) ).
fof(f245,plain,
! [X0] :
( r1_tarski(sK4(sK19,X0),X0)
| ~ r2_hidden(X0,sK18) ),
inference(subsumption_resolution,[],[f244,f202]) ).
fof(f244,plain,
! [X0] :
( ~ r2_hidden(X0,sK18)
| r1_tarski(sK4(sK19,X0),X0)
| ~ m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17))) ),
inference(subsumption_resolution,[],[f243,f207]) ).
fof(f243,plain,
! [X0] :
( ~ r2_hidden(X0,sK18)
| ~ m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| r1_tarski(sK4(sK19,X0),X0) ),
inference(subsumption_resolution,[],[f241,f201]) ).
fof(f241,plain,
! [X0] :
( ~ m1_pboole(sK17,sK16)
| ~ r2_hidden(X0,sK18)
| ~ m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| r1_tarski(sK4(sK19,X0),X0) ),
inference(resolution,[],[f205,f154]) ).
fof(f154,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| r1_tarski(sK4(X3,X6),X6)
| ~ r2_hidden(X6,X2)
| ~ r2_closure3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f106]) ).
fof(f517,plain,
! [X5] :
( ~ r1_tarski(X5,sK3(sK18,sK20))
| ~ r2_hidden(X5,sK19) ),
inference(subsumption_resolution,[],[f513,f240]) ).
fof(f240,plain,
! [X1] :
( r2_hidden(sK4(sK20,X1),sK20)
| ~ r2_hidden(X1,sK19) ),
inference(subsumption_resolution,[],[f239,f207]) ).
fof(f239,plain,
! [X1] :
( ~ m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ r2_hidden(X1,sK19)
| r2_hidden(sK4(sK20,X1),sK20) ),
inference(subsumption_resolution,[],[f238,f203]) ).
fof(f238,plain,
! [X1] :
( ~ m1_subset_1(sK20,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| r2_hidden(sK4(sK20,X1),sK20)
| ~ r2_hidden(X1,sK19) ),
inference(subsumption_resolution,[],[f234,f201]) ).
fof(f234,plain,
! [X1] :
( ~ m1_pboole(sK17,sK16)
| r2_hidden(sK4(sK20,X1),sK20)
| ~ m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ r2_hidden(X1,sK19)
| ~ m1_subset_1(sK20,k1_zfmisc_1(k1_closure2(sK16,sK17))) ),
inference(resolution,[],[f204,f155]) ).
fof(f204,plain,
r2_closure3(sK16,sK17,sK19,sK20),
inference(cnf_transformation,[],[f142]) ).
fof(f513,plain,
! [X5] :
( ~ r1_tarski(X5,sK3(sK18,sK20))
| ~ r2_hidden(sK4(sK20,X5),sK20)
| ~ r2_hidden(X5,sK19) ),
inference(resolution,[],[f398,f256]) ).
fof(f256,plain,
! [X0] :
( ~ r1_tarski(X0,sK3(sK18,sK20))
| ~ r2_hidden(X0,sK20) ),
inference(subsumption_resolution,[],[f255,f201]) ).
fof(f255,plain,
! [X0] :
( ~ r1_tarski(X0,sK3(sK18,sK20))
| ~ m1_pboole(sK17,sK16)
| ~ r2_hidden(X0,sK20) ),
inference(subsumption_resolution,[],[f254,f202]) ).
fof(f254,plain,
! [X0] :
( ~ m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ r2_hidden(X0,sK20)
| ~ m1_pboole(sK17,sK16)
| ~ r1_tarski(X0,sK3(sK18,sK20)) ),
inference(subsumption_resolution,[],[f250,f203]) ).
fof(f250,plain,
! [X0] :
( ~ m1_subset_1(sK20,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ m1_pboole(sK17,sK16)
| ~ r2_hidden(X0,sK20)
| ~ r1_tarski(X0,sK3(sK18,sK20))
| ~ m1_subset_1(sK18,k1_zfmisc_1(k1_closure2(sK16,sK17))) ),
inference(resolution,[],[f206,f157]) ).
fof(f157,plain,
! [X2,X3,X0,X1,X5] :
( r2_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r1_tarski(X5,sK3(X2,X3))
| ~ r2_hidden(X5,X3)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(cnf_transformation,[],[f106]) ).
fof(f398,plain,
! [X4,X5] :
( r1_tarski(sK4(sK20,X4),X5)
| ~ r1_tarski(X4,X5)
| ~ r2_hidden(X4,sK19) ),
inference(resolution,[],[f237,f200]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X0)
| r1_tarski(X2,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X0)
| r1_tarski(X2,X1) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X0)
| ~ r1_tarski(X1,X2)
| r1_tarski(X1,X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X1,X0,X2] :
( r1_tarski(X1,X0)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0,X2] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X0) )
=> r1_tarski(X1,X0) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X2,X0,X1] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f237,plain,
! [X0] :
( r1_tarski(sK4(sK20,X0),X0)
| ~ r2_hidden(X0,sK19) ),
inference(subsumption_resolution,[],[f236,f207]) ).
fof(f236,plain,
! [X0] :
( ~ m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| r1_tarski(sK4(sK20,X0),X0)
| ~ r2_hidden(X0,sK19) ),
inference(subsumption_resolution,[],[f235,f201]) ).
fof(f235,plain,
! [X0] :
( ~ m1_pboole(sK17,sK16)
| ~ m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ r2_hidden(X0,sK19)
| r1_tarski(sK4(sK20,X0),X0) ),
inference(subsumption_resolution,[],[f233,f203]) ).
fof(f233,plain,
! [X0] :
( ~ m1_subset_1(sK20,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ m1_subset_1(sK19,k1_zfmisc_1(k1_closure2(sK16,sK17)))
| ~ m1_pboole(sK17,sK16)
| ~ r2_hidden(X0,sK19)
| r1_tarski(sK4(sK20,X0),X0) ),
inference(resolution,[],[f204,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : ALG224+1 : TPTP v8.1.0. Released v3.4.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.31 % Computer : n013.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Aug 29 14:54:31 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.16/0.42 % (8720)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.42 % (8730)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.42 % (8720)Instruction limit reached!
% 0.16/0.42 % (8720)------------------------------
% 0.16/0.42 % (8720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.43 % (8720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.43 % (8720)Termination reason: Unknown
% 0.16/0.43 % (8720)Termination phase: Saturation
% 0.16/0.43
% 0.16/0.43 % (8720)Memory used [KB]: 6012
% 0.16/0.43 % (8720)Time elapsed: 0.004 s
% 0.16/0.43 % (8720)Instructions burned: 3 (million)
% 0.16/0.43 % (8720)------------------------------
% 0.16/0.43 % (8720)------------------------------
% 0.16/0.43 % (8742)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.44 % (8723)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.16/0.44 % (8728)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.16/0.44 % (8729)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.45 % (8722)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.45 % (8730)Instruction limit reached!
% 0.16/0.45 % (8730)------------------------------
% 0.16/0.45 % (8730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.45 % (8730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.45 % (8730)Termination reason: Unknown
% 0.16/0.45 % (8730)Termination phase: Saturation
% 0.16/0.45
% 0.16/0.45 % (8730)Memory used [KB]: 1791
% 0.16/0.45 % (8730)Time elapsed: 0.100 s
% 0.16/0.45 % (8730)Instructions burned: 16 (million)
% 0.16/0.45 % (8730)------------------------------
% 0.16/0.45 % (8730)------------------------------
% 0.16/0.45 % (8729)Instruction limit reached!
% 0.16/0.45 % (8729)------------------------------
% 0.16/0.45 % (8729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.45 % (8741)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.46 % (8722)Instruction limit reached!
% 0.16/0.46 % (8722)------------------------------
% 0.16/0.46 % (8722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.46 % (8729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.46 % (8729)Termination reason: Unknown
% 0.16/0.46 % (8729)Termination phase: Saturation
% 0.16/0.46 % (8728)First to succeed.
% 0.16/0.46
% 0.16/0.46 % (8729)Memory used [KB]: 6140
% 0.16/0.46 % (8729)Time elapsed: 0.086 s
% 0.16/0.46 % (8729)Instructions burned: 7 (million)
% 0.16/0.46 % (8729)------------------------------
% 0.16/0.46 % (8729)------------------------------
% 0.16/0.46 % (8728)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (8728)------------------------------
% 0.16/0.46 % (8728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.46 % (8728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.46 % (8728)Termination reason: Refutation
% 0.16/0.46
% 0.16/0.46 % (8728)Memory used [KB]: 6140
% 0.16/0.46 % (8728)Time elapsed: 0.100 s
% 0.16/0.46 % (8728)Instructions burned: 11 (million)
% 0.16/0.46 % (8728)------------------------------
% 0.16/0.46 % (8728)------------------------------
% 0.16/0.46 % (8714)Success in time 0.146 s
%------------------------------------------------------------------------------