TSTP Solution File: ALG223+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n001.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 15:40:55 EDT 2022
% Result : Theorem 1.61s 0.57s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 11 unt; 0 def)
% Number of atoms : 277 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 354 ( 141 ~; 116 |; 74 &)
% ( 2 <=>; 21 =>; 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 : 140 ( 106 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f654,plain,
$false,
inference(subsumption_resolution,[],[f651,f252]) ).
fof(f252,plain,
r2_hidden(sK17(sK15,sK13),sK13),
inference(subsumption_resolution,[],[f251,f180]) ).
fof(f180,plain,
m1_subset_1(sK13,k1_zfmisc_1(k1_closure2(sK11,sK12))),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( m1_pboole(sK12,sK11)
& r1_closure3(sK11,sK12,sK14,sK13)
& ~ r1_closure3(sK11,sK12,sK15,sK13)
& m1_subset_1(sK15,k1_zfmisc_1(k1_closure2(sK11,sK12)))
& r1_closure3(sK11,sK12,sK15,sK14)
& m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12)))
& m1_subset_1(sK13,k1_zfmisc_1(k1_closure2(sK11,sK12))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15])],[f80,f122,f121,f120,f119]) ).
fof(f119,plain,
( ? [X0,X1] :
( m1_pboole(X1,X0)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( r1_closure3(X0,X1,X3,X2)
& ~ r1_closure3(X0,X1,X4,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
& r1_closure3(X0,X1,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(sK12,sK11)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( r1_closure3(sK11,sK12,X3,X2)
& ~ r1_closure3(sK11,sK12,X4,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK11,sK12)))
& r1_closure3(sK11,sK12,X4,X3) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK11,sK12))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK11,sK12))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( r1_closure3(sK11,sK12,X3,X2)
& ~ r1_closure3(sK11,sK12,X4,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK11,sK12)))
& r1_closure3(sK11,sK12,X4,X3) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK11,sK12))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK11,sK12))) )
=> ( ? [X3] :
( ? [X4] :
( r1_closure3(sK11,sK12,X3,sK13)
& ~ r1_closure3(sK11,sK12,X4,sK13)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK11,sK12)))
& r1_closure3(sK11,sK12,X4,X3) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK11,sK12))) )
& m1_subset_1(sK13,k1_zfmisc_1(k1_closure2(sK11,sK12))) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
( ? [X3] :
( ? [X4] :
( r1_closure3(sK11,sK12,X3,sK13)
& ~ r1_closure3(sK11,sK12,X4,sK13)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK11,sK12)))
& r1_closure3(sK11,sK12,X4,X3) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK11,sK12))) )
=> ( ? [X4] :
( r1_closure3(sK11,sK12,sK14,sK13)
& ~ r1_closure3(sK11,sK12,X4,sK13)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK11,sK12)))
& r1_closure3(sK11,sK12,X4,sK14) )
& m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12))) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
( ? [X4] :
( r1_closure3(sK11,sK12,sK14,sK13)
& ~ r1_closure3(sK11,sK12,X4,sK13)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(sK11,sK12)))
& r1_closure3(sK11,sK12,X4,sK14) )
=> ( r1_closure3(sK11,sK12,sK14,sK13)
& ~ r1_closure3(sK11,sK12,sK15,sK13)
& m1_subset_1(sK15,k1_zfmisc_1(k1_closure2(sK11,sK12)))
& r1_closure3(sK11,sK12,sK15,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0,X1] :
( m1_pboole(X1,X0)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( r1_closure3(X0,X1,X3,X2)
& ~ r1_closure3(X0,X1,X4,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
& r1_closure3(X0,X1,X4,X3) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
? [X1,X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X3,X2)
& r1_closure3(X0,X1,X4,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,
~ ! [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,X3,X2)
& r1_closure3(X0,X1,X4,X3) )
=> 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,X3,X2)
& r1_closure3(X0,X1,X4,X3) )
=> r1_closure3(X0,X1,X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_closure3) ).
fof(f251,plain,
( ~ m1_subset_1(sK13,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| r2_hidden(sK17(sK15,sK13),sK13) ),
inference(subsumption_resolution,[],[f250,f183]) ).
fof(f183,plain,
m1_subset_1(sK15,k1_zfmisc_1(k1_closure2(sK11,sK12))),
inference(cnf_transformation,[],[f123]) ).
fof(f250,plain,
( ~ m1_subset_1(sK15,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| r2_hidden(sK17(sK15,sK13),sK13) ),
inference(subsumption_resolution,[],[f246,f186]) ).
fof(f186,plain,
m1_pboole(sK12,sK11),
inference(cnf_transformation,[],[f123]) ).
fof(f246,plain,
( r2_hidden(sK17(sK15,sK13),sK13)
| ~ m1_pboole(sK12,sK11)
| ~ m1_subset_1(sK15,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k1_closure2(sK11,sK12))) ),
inference(resolution,[],[f184,f190]) ).
fof(f190,plain,
! [X2,X3,X0,X1] :
( ~ m1_pboole(X1,X0)
| r2_hidden(sK17(X2,X3),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r1_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ! [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] :
( ( r1_tarski(X4,sK16(X2,X4))
& r2_hidden(sK16(X2,X4),X2) )
| ~ r2_hidden(X4,X3) )
| ~ r1_closure3(X0,X1,X2,X3) )
& ( r1_closure3(X0,X1,X2,X3)
| ( ! [X7] :
( ~ r1_tarski(sK17(X2,X3),X7)
| ~ r2_hidden(X7,X2) )
& r2_hidden(sK17(X2,X3),X3) ) ) ) ) )
| ~ m1_pboole(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f126,f128,f127]) ).
fof(f127,plain,
! [X2,X4] :
( ? [X5] :
( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
=> ( r1_tarski(X4,sK16(X2,X4))
& r2_hidden(sK16(X2,X4),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X2,X3] :
( ? [X6] :
( ! [X7] :
( ~ r1_tarski(X6,X7)
| ~ r2_hidden(X7,X2) )
& r2_hidden(X6,X3) )
=> ( ! [X7] :
( ~ r1_tarski(sK17(X2,X3),X7)
| ~ r2_hidden(X7,X2) )
& r2_hidden(sK17(X2,X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0,X1] :
( ! [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] :
( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
| ~ r2_hidden(X4,X3) )
| ~ r1_closure3(X0,X1,X2,X3) )
& ( r1_closure3(X0,X1,X2,X3)
| ? [X6] :
( ! [X7] :
( ~ r1_tarski(X6,X7)
| ~ r2_hidden(X7,X2) )
& r2_hidden(X6,X3) ) ) ) ) )
| ~ m1_pboole(X1,X0) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ! [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] :
( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
| ~ r2_hidden(X4,X3) )
| ~ r1_closure3(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_pboole(X1,X0) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ! [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] :
( r1_tarski(X4,X5)
& r2_hidden(X5,X2) )
| ~ r2_hidden(X4,X3) )
<=> r1_closure3(X0,X1,X2,X3) ) ) )
| ~ m1_pboole(X1,X0) ),
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)))
=> ( ! [X4] :
~ ( r2_hidden(X4,X3)
& ! [X5] :
~ ( r1_tarski(X4,X5)
& r2_hidden(X5,X2) ) )
<=> r1_closure3(X0,X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_closure3) ).
fof(f184,plain,
~ r1_closure3(sK11,sK12,sK15,sK13),
inference(cnf_transformation,[],[f123]) ).
fof(f651,plain,
~ r2_hidden(sK17(sK15,sK13),sK13),
inference(resolution,[],[f629,f257]) ).
fof(f257,plain,
! [X0] :
( r2_hidden(sK16(sK14,X0),sK14)
| ~ r2_hidden(X0,sK13) ),
inference(subsumption_resolution,[],[f256,f181]) ).
fof(f181,plain,
m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12))),
inference(cnf_transformation,[],[f123]) ).
fof(f256,plain,
! [X0] :
( r2_hidden(sK16(sK14,X0),sK14)
| ~ r2_hidden(X0,sK13)
| ~ m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12))) ),
inference(subsumption_resolution,[],[f255,f186]) ).
fof(f255,plain,
! [X0] :
( r2_hidden(sK16(sK14,X0),sK14)
| ~ m1_pboole(sK12,sK11)
| ~ r2_hidden(X0,sK13)
| ~ m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12))) ),
inference(subsumption_resolution,[],[f253,f180]) ).
fof(f253,plain,
! [X0] :
( ~ m1_subset_1(sK13,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| r2_hidden(sK16(sK14,X0),sK14)
| ~ m1_pboole(sK12,sK11)
| ~ r2_hidden(X0,sK13) ),
inference(resolution,[],[f185,f192]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK16(X2,X4),X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r1_closure3(X0,X1,X2,X3)
| ~ m1_pboole(X1,X0)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f185,plain,
r1_closure3(sK11,sK12,sK14,sK13),
inference(cnf_transformation,[],[f123]) ).
fof(f629,plain,
~ r2_hidden(sK16(sK14,sK17(sK15,sK13)),sK14),
inference(subsumption_resolution,[],[f625,f252]) ).
fof(f625,plain,
( ~ r2_hidden(sK16(sK14,sK17(sK15,sK13)),sK14)
| ~ r2_hidden(sK17(sK15,sK13),sK13) ),
inference(resolution,[],[f528,f260]) ).
fof(f260,plain,
! [X1] :
( r1_tarski(X1,sK16(sK14,X1))
| ~ r2_hidden(X1,sK13) ),
inference(subsumption_resolution,[],[f259,f186]) ).
fof(f259,plain,
! [X1] :
( ~ m1_pboole(sK12,sK11)
| r1_tarski(X1,sK16(sK14,X1))
| ~ r2_hidden(X1,sK13) ),
inference(subsumption_resolution,[],[f258,f181]) ).
fof(f258,plain,
! [X1] :
( ~ r2_hidden(X1,sK13)
| r1_tarski(X1,sK16(sK14,X1))
| ~ m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ m1_pboole(sK12,sK11) ),
inference(subsumption_resolution,[],[f254,f180]) ).
fof(f254,plain,
! [X1] :
( ~ m1_subset_1(sK13,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ r2_hidden(X1,sK13)
| ~ m1_pboole(sK12,sK11)
| ~ m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| r1_tarski(X1,sK16(sK14,X1)) ),
inference(resolution,[],[f185,f193]) ).
fof(f193,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,X3)
| ~ r1_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0)
| r1_tarski(X4,sK16(X2,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f528,plain,
! [X5] :
( ~ r1_tarski(sK17(sK15,sK13),X5)
| ~ r2_hidden(X5,sK14) ),
inference(subsumption_resolution,[],[f524,f235]) ).
fof(f235,plain,
! [X0] :
( r2_hidden(sK16(sK15,X0),sK15)
| ~ r2_hidden(X0,sK14) ),
inference(subsumption_resolution,[],[f234,f186]) ).
fof(f234,plain,
! [X0] :
( ~ m1_pboole(sK12,sK11)
| r2_hidden(sK16(sK15,X0),sK15)
| ~ r2_hidden(X0,sK14) ),
inference(subsumption_resolution,[],[f233,f181]) ).
fof(f233,plain,
! [X0] :
( ~ m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ r2_hidden(X0,sK14)
| ~ m1_pboole(sK12,sK11)
| r2_hidden(sK16(sK15,X0),sK15) ),
inference(subsumption_resolution,[],[f228,f183]) ).
fof(f228,plain,
! [X0] :
( ~ m1_subset_1(sK15,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ r2_hidden(X0,sK14)
| ~ m1_pboole(sK12,sK11)
| r2_hidden(sK16(sK15,X0),sK15) ),
inference(resolution,[],[f182,f192]) ).
fof(f182,plain,
r1_closure3(sK11,sK12,sK15,sK14),
inference(cnf_transformation,[],[f123]) ).
fof(f524,plain,
! [X5] :
( ~ r2_hidden(sK16(sK15,X5),sK15)
| ~ r1_tarski(sK17(sK15,sK13),X5)
| ~ r2_hidden(X5,sK14) ),
inference(resolution,[],[f393,f249]) ).
fof(f249,plain,
! [X0] :
( ~ r1_tarski(sK17(sK15,sK13),X0)
| ~ r2_hidden(X0,sK15) ),
inference(subsumption_resolution,[],[f248,f186]) ).
fof(f248,plain,
! [X0] :
( ~ r1_tarski(sK17(sK15,sK13),X0)
| ~ m1_pboole(sK12,sK11)
| ~ r2_hidden(X0,sK15) ),
inference(subsumption_resolution,[],[f247,f183]) ).
fof(f247,plain,
! [X0] :
( ~ m1_subset_1(sK15,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ r1_tarski(sK17(sK15,sK13),X0)
| ~ r2_hidden(X0,sK15)
| ~ m1_pboole(sK12,sK11) ),
inference(subsumption_resolution,[],[f245,f180]) ).
fof(f245,plain,
! [X0] :
( ~ m1_subset_1(sK13,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ m1_pboole(sK12,sK11)
| ~ m1_subset_1(sK15,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ r1_tarski(sK17(sK15,sK13),X0)
| ~ r2_hidden(X0,sK15) ),
inference(resolution,[],[f184,f191]) ).
fof(f191,plain,
! [X2,X3,X0,X1,X7] :
( ~ r2_hidden(X7,X2)
| ~ r1_tarski(sK17(X2,X3),X7)
| r1_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f393,plain,
! [X4,X5] :
( r1_tarski(X5,sK16(sK15,X4))
| ~ r2_hidden(X4,sK14)
| ~ r1_tarski(X5,X4) ),
inference(resolution,[],[f232,f195]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X2)
| r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X2)
| ~ r1_tarski(X2,X1)
| r1_tarski(X0,X1) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X2,X1,X0] :
( ~ r1_tarski(X2,X0)
| ~ r1_tarski(X0,X1)
| r1_tarski(X2,X1) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X2,X0) )
=> r1_tarski(X2,X1) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X1,X2,X0] :
( ( r1_tarski(X1,X2)
& r1_tarski(X0,X1) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f232,plain,
! [X1] :
( r1_tarski(X1,sK16(sK15,X1))
| ~ r2_hidden(X1,sK14) ),
inference(subsumption_resolution,[],[f231,f186]) ).
fof(f231,plain,
! [X1] :
( ~ m1_pboole(sK12,sK11)
| r1_tarski(X1,sK16(sK15,X1))
| ~ r2_hidden(X1,sK14) ),
inference(subsumption_resolution,[],[f230,f181]) ).
fof(f230,plain,
! [X1] :
( r1_tarski(X1,sK16(sK15,X1))
| ~ m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ m1_pboole(sK12,sK11)
| ~ r2_hidden(X1,sK14) ),
inference(subsumption_resolution,[],[f229,f183]) ).
fof(f229,plain,
! [X1] :
( ~ m1_subset_1(sK15,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| ~ m1_pboole(sK12,sK11)
| ~ r2_hidden(X1,sK14)
| ~ m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK11,sK12)))
| r1_tarski(X1,sK16(sK15,X1)) ),
inference(resolution,[],[f182,f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG223+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 15:19:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 % (3037)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.50 % (3052)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.50 % (3044)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.50 % (3044)Instruction limit reached!
% 0.21/0.50 % (3044)------------------------------
% 0.21/0.50 % (3044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (3044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (3044)Termination reason: Unknown
% 0.21/0.50 % (3044)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (3044)Memory used [KB]: 6012
% 0.21/0.50 % (3056)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.50 % (3044)Time elapsed: 0.005 s
% 0.21/0.50 % (3044)Instructions burned: 4 (million)
% 0.21/0.50 % (3044)------------------------------
% 0.21/0.50 % (3044)------------------------------
% 0.21/0.50 % (3036)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.51 % (3034)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)
% 0.21/0.51 % (3048)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (3048)Instruction limit reached!
% 0.21/0.52 % (3048)------------------------------
% 0.21/0.52 % (3048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (3048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (3048)Termination reason: Unknown
% 0.21/0.52 % (3048)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (3048)Memory used [KB]: 1535
% 0.21/0.52 % (3048)Time elapsed: 0.004 s
% 0.21/0.52 % (3048)Instructions burned: 3 (million)
% 0.21/0.52 % (3048)------------------------------
% 0.21/0.52 % (3048)------------------------------
% 0.21/0.52 % (3032)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)
% 0.21/0.52 % (3032)Instruction limit reached!
% 0.21/0.52 % (3032)------------------------------
% 0.21/0.52 % (3032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (3032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (3032)Termination reason: Unknown
% 0.21/0.52 % (3032)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (3032)Memory used [KB]: 6012
% 0.21/0.52 % (3032)Time elapsed: 0.125 s
% 0.21/0.52 % (3032)Instructions burned: 4 (million)
% 0.21/0.52 % (3032)------------------------------
% 0.21/0.52 % (3032)------------------------------
% 0.21/0.52 % (3041)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)
% 0.21/0.52 % (3035)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)
% 0.21/0.52 % (3030)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53 % (3058)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.53 % (3031)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53 % (3049)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.53 % (3033)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (3045)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (3046)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (3034)Instruction limit reached!
% 0.21/0.53 % (3034)------------------------------
% 0.21/0.53 % (3034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (3034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (3034)Termination reason: Unknown
% 0.21/0.53 % (3034)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (3034)Memory used [KB]: 6140
% 0.21/0.53 % (3034)Time elapsed: 0.141 s
% 0.21/0.53 % (3034)Instructions burned: 14 (million)
% 0.21/0.53 % (3034)------------------------------
% 0.21/0.53 % (3034)------------------------------
% 0.21/0.53 % (3042)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)
% 0.21/0.53 % (3050)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.54 % (3045)Instruction limit reached!
% 0.21/0.54 % (3045)------------------------------
% 0.21/0.54 % (3045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (3045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (3045)Termination reason: Unknown
% 0.21/0.54 % (3045)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (3045)Memory used [KB]: 6140
% 0.21/0.54 % (3045)Time elapsed: 0.141 s
% 0.21/0.54 % (3045)Instructions burned: 7 (million)
% 0.21/0.54 % (3045)------------------------------
% 0.21/0.54 % (3045)------------------------------
% 0.21/0.54 % (3057)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.54 % (3053)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)
% 0.21/0.54 % (3054)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)
% 0.21/0.54 % (3055)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.54 % (3051)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (3041)Instruction limit reached!
% 0.21/0.54 % (3041)------------------------------
% 0.21/0.54 % (3041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (3041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (3041)Termination reason: Unknown
% 0.21/0.54 % (3041)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (3041)Memory used [KB]: 6140
% 0.21/0.54 % (3041)Time elapsed: 0.155 s
% 0.21/0.54 % (3041)Instructions burned: 7 (million)
% 0.21/0.54 % (3041)------------------------------
% 0.21/0.54 % (3041)------------------------------
% 0.21/0.54 % (3047)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (3047)Instruction limit reached!
% 0.21/0.54 % (3047)------------------------------
% 0.21/0.54 % (3047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (3047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (3047)Termination reason: Unknown
% 0.21/0.54 % (3047)Termination phase: Preprocessing 3
% 0.21/0.54
% 0.21/0.54 % (3047)Memory used [KB]: 1535
% 0.21/0.54 % (3047)Time elapsed: 0.002 s
% 0.21/0.54 % (3047)Instructions burned: 3 (million)
% 0.21/0.54 % (3047)------------------------------
% 0.21/0.54 % (3047)------------------------------
% 0.21/0.54 % (3058)Instruction limit reached!
% 0.21/0.54 % (3058)------------------------------
% 0.21/0.54 % (3058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (3058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (3058)Termination reason: Unknown
% 0.21/0.54 % (3058)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (3058)Memory used [KB]: 6140
% 0.21/0.54 % (3058)Time elapsed: 0.133 s
% 0.21/0.54 % (3058)Instructions burned: 9 (million)
% 0.21/0.54 % (3058)------------------------------
% 0.21/0.54 % (3058)------------------------------
% 0.21/0.54 % (3035)Refutation not found, incomplete strategy% (3035)------------------------------
% 0.21/0.54 % (3035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (3035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (3035)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (3035)Memory used [KB]: 1663
% 0.21/0.54 % (3035)Time elapsed: 0.128 s
% 0.21/0.54 % (3035)Instructions burned: 11 (million)
% 0.21/0.54 % (3035)------------------------------
% 0.21/0.54 % (3035)------------------------------
% 0.21/0.55 % (3039)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.55 % (3043)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (3040)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)
% 0.21/0.55 % (3037)Instruction limit reached!
% 0.21/0.55 % (3037)------------------------------
% 0.21/0.55 % (3037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (3037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (3037)Termination reason: Unknown
% 0.21/0.55 % (3037)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (3037)Memory used [KB]: 6524
% 0.21/0.55 % (3037)Time elapsed: 0.155 s
% 0.21/0.55 % (3037)Instructions burned: 39 (million)
% 0.21/0.55 % (3037)------------------------------
% 0.21/0.55 % (3037)------------------------------
% 0.21/0.55 % (3059)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.55 % (3031)Instruction limit reached!
% 0.21/0.55 % (3031)------------------------------
% 0.21/0.55 % (3031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (3031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (3031)Termination reason: Unknown
% 0.21/0.55 % (3031)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (3031)Memory used [KB]: 6396
% 0.21/0.55 % (3031)Time elapsed: 0.158 s
% 0.21/0.55 % (3031)Instructions burned: 14 (million)
% 0.21/0.55 % (3031)------------------------------
% 0.21/0.55 % (3031)------------------------------
% 0.21/0.56 % (3040)First to succeed.
% 0.21/0.56 % (3049)Instruction limit reached!
% 0.21/0.56 % (3049)------------------------------
% 0.21/0.56 % (3049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (3049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (3049)Termination reason: Unknown
% 0.21/0.56 % (3049)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (3049)Memory used [KB]: 6268
% 0.21/0.56 % (3049)Time elapsed: 0.145 s
% 0.21/0.56 % (3049)Instructions burned: 12 (million)
% 0.21/0.56 % (3049)------------------------------
% 0.21/0.56 % (3049)------------------------------
% 1.61/0.56 % (3038)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.61/0.56 % (3036)Instruction limit reached!
% 1.61/0.56 % (3036)------------------------------
% 1.61/0.56 % (3036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.56 % (3036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.56 % (3036)Termination reason: Unknown
% 1.61/0.56 % (3036)Termination phase: Saturation
% 1.61/0.56
% 1.61/0.56 % (3036)Memory used [KB]: 6652
% 1.61/0.56 % (3036)Time elapsed: 0.121 s
% 1.61/0.56 % (3036)Instructions burned: 41 (million)
% 1.61/0.56 % (3036)------------------------------
% 1.61/0.56 % (3036)------------------------------
% 1.61/0.57 % (3042)Instruction limit reached!
% 1.61/0.57 % (3042)------------------------------
% 1.61/0.57 % (3042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (3042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (3042)Termination reason: Unknown
% 1.61/0.57 % (3042)Termination phase: Saturation
% 1.61/0.57
% 1.61/0.57 % (3042)Memory used [KB]: 1791
% 1.61/0.57 % (3042)Time elapsed: 0.165 s
% 1.61/0.57 % (3042)Instructions burned: 17 (million)
% 1.61/0.57 % (3042)------------------------------
% 1.61/0.57 % (3042)------------------------------
% 1.61/0.57 % (3040)Refutation found. Thanks to Tanya!
% 1.61/0.57 % SZS status Theorem for theBenchmark
% 1.61/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.57 % (3040)------------------------------
% 1.61/0.57 % (3040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (3040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (3040)Termination reason: Refutation
% 1.61/0.57
% 1.61/0.57 % (3040)Memory used [KB]: 6140
% 1.61/0.57 % (3040)Time elapsed: 0.166 s
% 1.61/0.57 % (3040)Instructions burned: 10 (million)
% 1.61/0.57 % (3040)------------------------------
% 1.61/0.57 % (3040)------------------------------
% 1.61/0.57 % (3029)Success in time 0.212 s
%------------------------------------------------------------------------------