TSTP Solution File: SEU439+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU439+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 : n026.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 18:30:33 EDT 2022
% Result : Theorem 2.11s 0.63s
% Output : Refutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 84 ( 10 unt; 0 def)
% Number of atoms : 328 ( 34 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 413 ( 169 ~; 138 |; 60 &)
% ( 15 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-4 aty)
% Number of variables : 227 ( 189 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1626,plain,
$false,
inference(avatar_sat_refutation,[],[f299,f313,f1603,f1623]) ).
fof(f1623,plain,
~ spl19_8,
inference(avatar_contradiction_clause,[],[f1622]) ).
fof(f1622,plain,
( $false
| ~ spl19_8 ),
inference(subsumption_resolution,[],[f1608,f252]) ).
fof(f252,plain,
k1_xboole_0 != sK15,
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( m1_subset_1(sK18,k1_zfmisc_1(k2_zfmisc_1(sK17,sK16)))
& k1_xboole_0 != sK15
& ~ r1_tarski(k8_relset_2(sK17,sK16,sK15,sK18),k9_relat_1(sK18,sK15))
& m1_subset_1(sK15,k1_zfmisc_1(sK17)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18])],[f181,f183,f182]) ).
fof(f182,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
& k1_xboole_0 != X0
& ~ r1_tarski(k8_relset_2(X2,X1,X0,X3),k9_relat_1(X3,X0)) )
& m1_subset_1(X0,k1_zfmisc_1(X2)) )
=> ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(sK17,sK16)))
& k1_xboole_0 != sK15
& ~ r1_tarski(k8_relset_2(sK17,sK16,sK15,X3),k9_relat_1(X3,sK15)) )
& m1_subset_1(sK15,k1_zfmisc_1(sK17)) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(sK17,sK16)))
& k1_xboole_0 != sK15
& ~ r1_tarski(k8_relset_2(sK17,sK16,sK15,X3),k9_relat_1(X3,sK15)) )
=> ( m1_subset_1(sK18,k1_zfmisc_1(k2_zfmisc_1(sK17,sK16)))
& k1_xboole_0 != sK15
& ~ r1_tarski(k8_relset_2(sK17,sK16,sK15,sK18),k9_relat_1(sK18,sK15)) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
? [X0,X1,X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
& k1_xboole_0 != X0
& ~ r1_tarski(k8_relset_2(X2,X1,X0,X3),k9_relat_1(X3,X0)) )
& m1_subset_1(X0,k1_zfmisc_1(X2)) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
? [X1,X2,X0] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
& k1_xboole_0 != X1
& ~ r1_tarski(k8_relset_2(X0,X2,X1,X3),k9_relat_1(X3,X1)) )
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
? [X2,X0,X1] :
( ? [X3] :
( ~ r1_tarski(k8_relset_2(X0,X2,X1,X3),k9_relat_1(X3,X1))
& k1_xboole_0 != X1
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X2))) )
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
~ ! [X2,X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
=> ( k1_xboole_0 != X1
=> r1_tarski(k8_relset_2(X0,X2,X1,X3),k9_relat_1(X3,X1)) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X2,X1] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( k1_xboole_0 != X2
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X2,X1] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( k1_xboole_0 != X2
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_relset_2) ).
fof(f1608,plain,
( k1_xboole_0 = sK15
| ~ spl19_8 ),
inference(resolution,[],[f426,f232]) ).
fof(f232,plain,
! [X0] :
( r2_hidden(sK11(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ( k1_xboole_0 = X0
| r2_hidden(sK11(X0),X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f167,f168]) ).
fof(f168,plain,
! [X0] :
( ? [X1] : r2_hidden(X1,X0)
=> r2_hidden(sK11(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0] :
( ( k1_xboole_0 = X0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( k1_xboole_0 = X0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X1] : ~ r2_hidden(X1,X0)
| k1_xboole_0 != X0 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( k1_xboole_0 = X0
<=> ! [X1] : ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f426,plain,
( ! [X18] : ~ r2_hidden(X18,sK15)
| ~ spl19_8 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f425,plain,
( spl19_8
<=> ! [X18] : ~ r2_hidden(X18,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).
fof(f1603,plain,
( spl19_8
| ~ spl19_3
| ~ spl19_4 ),
inference(avatar_split_clause,[],[f1602,f297,f293,f425]) ).
fof(f293,plain,
( spl19_3
<=> v1_relat_1(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
fof(f297,plain,
( spl19_4
<=> ! [X0] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,sK7(k9_relat_1(sK18,sK15),k8_relset_2(sK17,sK16,sK15,sK18))),k1_tarski(X0)),sK18)
| ~ r2_hidden(X0,sK15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
fof(f1602,plain,
( ! [X0] : ~ r2_hidden(X0,sK15)
| ~ spl19_3
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f1601,f251]) ).
fof(f251,plain,
~ r1_tarski(k8_relset_2(sK17,sK16,sK15,sK18),k9_relat_1(sK18,sK15)),
inference(cnf_transformation,[],[f184]) ).
fof(f1601,plain,
( ! [X0] :
( r1_tarski(k8_relset_2(sK17,sK16,sK15,sK18),k9_relat_1(sK18,sK15))
| ~ r2_hidden(X0,sK15) )
| ~ spl19_3
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f1600,f250]) ).
fof(f250,plain,
m1_subset_1(sK15,k1_zfmisc_1(sK17)),
inference(cnf_transformation,[],[f184]) ).
fof(f1600,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK15)
| ~ m1_subset_1(sK15,k1_zfmisc_1(sK17))
| r1_tarski(k8_relset_2(sK17,sK16,sK15,sK18),k9_relat_1(sK18,sK15)) )
| ~ spl19_3
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f1599,f253]) ).
fof(f253,plain,
m1_subset_1(sK18,k1_zfmisc_1(k2_zfmisc_1(sK17,sK16))),
inference(cnf_transformation,[],[f184]) ).
fof(f1599,plain,
( ! [X0] :
( ~ m1_subset_1(sK18,k1_zfmisc_1(k2_zfmisc_1(sK17,sK16)))
| r1_tarski(k8_relset_2(sK17,sK16,sK15,sK18),k9_relat_1(sK18,sK15))
| ~ r2_hidden(X0,sK15)
| ~ m1_subset_1(sK15,k1_zfmisc_1(sK17)) )
| ~ spl19_3
| ~ spl19_4 ),
inference(duplicate_literal_removal,[],[f1597]) ).
fof(f1597,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK15)
| ~ m1_subset_1(sK15,k1_zfmisc_1(sK17))
| ~ r2_hidden(X0,sK15)
| ~ m1_subset_1(sK18,k1_zfmisc_1(k2_zfmisc_1(sK17,sK16)))
| r1_tarski(k8_relset_2(sK17,sK16,sK15,sK18),k9_relat_1(sK18,sK15)) )
| ~ spl19_3
| ~ spl19_4 ),
inference(resolution,[],[f814,f210]) ).
fof(f210,plain,
! [X0,X1] :
( r2_hidden(sK7(X0,X1),X1)
| r1_tarski(X1,X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ r2_hidden(X2,X1)
| r2_hidden(X2,X0) )
| ~ r1_tarski(X1,X0) )
& ( r1_tarski(X1,X0)
| ( r2_hidden(sK7(X0,X1),X1)
& ~ r2_hidden(sK7(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f147,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ? [X3] :
( r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
=> ( r2_hidden(sK7(X0,X1),X1)
& ~ r2_hidden(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ r2_hidden(X2,X1)
| r2_hidden(X2,X0) )
| ~ r1_tarski(X1,X0) )
& ( r1_tarski(X1,X0)
| ? [X3] :
( r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) ) ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ? [X2] :
( r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) ) ) ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X1,X0] :
( ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
<=> r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f814,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(sK7(k9_relat_1(sK18,sK15),k8_relset_2(sK17,sK16,sK15,sK18)),k8_relset_2(X1,X2,X3,sK18))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(sK18,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ r2_hidden(X0,sK15)
| ~ r2_hidden(X0,X3) )
| ~ spl19_3
| ~ spl19_4 ),
inference(resolution,[],[f347,f198]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X0,k9_relat_1(X4,k1_tarski(X5)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))
| ~ r2_hidden(X5,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,k8_relset_2(X1,X3,X2,X4)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))
| ! [X5] :
( r2_hidden(X0,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X2) )
| ~ r2_hidden(X0,k8_relset_2(X1,X3,X2,X4)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X1,X0,X3,X2] :
( ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
| ! [X5] :
( r2_hidden(X1,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X1,k8_relset_2(X0,X2,X3,X4)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X3,X2,X1] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X1,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X1,k8_relset_2(X0,X2,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X2))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X3,X2,X1] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
=> ( r2_hidden(X1,k8_relset_2(X0,X2,X3,X4))
=> ! [X5] :
( r2_hidden(X5,X3)
=> r2_hidden(X1,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X0,X2,X1,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
=> ! [X5] :
( r2_hidden(X5,X3)
=> r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_relset_2) ).
fof(f347,plain,
( ! [X2] :
( ~ r2_hidden(sK7(k9_relat_1(sK18,sK15),k8_relset_2(sK17,sK16,sK15,sK18)),k9_relat_1(sK18,k1_tarski(X2)))
| ~ r2_hidden(X2,sK15) )
| ~ spl19_3
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f333,f294]) ).
fof(f294,plain,
( v1_relat_1(sK18)
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f333,plain,
( ! [X2] :
( ~ r2_hidden(sK7(k9_relat_1(sK18,sK15),k8_relset_2(sK17,sK16,sK15,sK18)),k9_relat_1(sK18,k1_tarski(X2)))
| ~ v1_relat_1(sK18)
| ~ r2_hidden(X2,sK15) )
| ~ spl19_4 ),
inference(resolution,[],[f298,f262]) ).
fof(f262,plain,
! [X2,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(X2,X0),k1_tarski(X2)),X1)
| ~ r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2)))
| ~ v1_relat_1(X1) ),
inference(definition_unfolding,[],[f219,f243]) ).
fof(f243,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(X2,X0),X1)
| ~ r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X1)
| ( ( r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2)))
| ~ r2_hidden(k4_tarski(X2,X0),X1) )
& ( r2_hidden(k4_tarski(X2,X0),X1)
| ~ r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2))) ) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X1)
| ( r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2)))
<=> r2_hidden(k4_tarski(X2,X0),X1) ) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X1,X0,X2] :
( v1_relat_1(X1)
=> ( r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2)))
<=> r2_hidden(k4_tarski(X2,X0),X1) ) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X0,X2,X1] :
( v1_relat_1(X2)
=> ( r2_hidden(k4_tarski(X1,X0),X2)
<=> r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_relset_2) ).
fof(f298,plain,
( ! [X0] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,sK7(k9_relat_1(sK18,sK15),k8_relset_2(sK17,sK16,sK15,sK18))),k1_tarski(X0)),sK18)
| ~ r2_hidden(X0,sK15) )
| ~ spl19_4 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f313,plain,
spl19_3,
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| spl19_3 ),
inference(resolution,[],[f301,f253]) ).
fof(f301,plain,
( ! [X0,X1] : ~ m1_subset_1(sK18,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| spl19_3 ),
inference(resolution,[],[f295,f188]) ).
fof(f188,plain,
! [X2,X0,X1] :
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0))) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| v1_relat_1(X1) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X0,X2,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| v1_relat_1(X2) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X2,X1,X0] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> v1_relat_1(X2) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f295,plain,
( ~ v1_relat_1(sK18)
| spl19_3 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f299,plain,
( ~ spl19_3
| spl19_4 ),
inference(avatar_split_clause,[],[f280,f297,f293]) ).
fof(f280,plain,
! [X0] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,sK7(k9_relat_1(sK18,sK15),k8_relset_2(sK17,sK16,sK15,sK18))),k1_tarski(X0)),sK18)
| ~ v1_relat_1(sK18)
| ~ r2_hidden(X0,sK15) ),
inference(resolution,[],[f268,f263]) ).
fof(f263,plain,
! [X2,X0,X6,X7] :
( r2_hidden(X6,k9_relat_1(X0,X2))
| ~ r2_hidden(X7,X2)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X0) ),
inference(equality_resolution,[],[f259]) ).
fof(f259,plain,
! [X2,X0,X1,X6,X7] :
( ~ v1_relat_1(X0)
| r2_hidden(X6,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X0)
| ~ r2_hidden(X7,X2)
| k9_relat_1(X0,X2) != X1 ),
inference(definition_unfolding,[],[f204,f243]) ).
fof(f204,plain,
! [X2,X0,X1,X6,X7] :
( ~ v1_relat_1(X0)
| r2_hidden(X6,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X2)
| k9_relat_1(X0,X2) != X1 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k9_relat_1(X0,X2) = X1
| ( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,sK4(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X2) )
| ~ r2_hidden(sK4(X0,X1,X2),X1) )
& ( ( r2_hidden(k4_tarski(sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
& r2_hidden(sK5(X0,X1,X2),X2) )
| r2_hidden(sK4(X0,X1,X2),X1) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X1)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X2) ) )
& ( ( r2_hidden(k4_tarski(sK6(X0,X2,X6),X6),X0)
& r2_hidden(sK6(X0,X2,X6),X2) )
| ~ r2_hidden(X6,X1) ) )
| k9_relat_1(X0,X2) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f141,f144,f143,f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X2) )
| ~ r2_hidden(X3,X1) )
& ( ? [X5] :
( r2_hidden(k4_tarski(X5,X3),X0)
& r2_hidden(X5,X2) )
| r2_hidden(X3,X1) ) )
=> ( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,sK4(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X2) )
| ~ r2_hidden(sK4(X0,X1,X2),X1) )
& ( ? [X5] :
( r2_hidden(k4_tarski(X5,sK4(X0,X1,X2)),X0)
& r2_hidden(X5,X2) )
| r2_hidden(sK4(X0,X1,X2),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ? [X5] :
( r2_hidden(k4_tarski(X5,sK4(X0,X1,X2)),X0)
& r2_hidden(X5,X2) )
=> ( r2_hidden(k4_tarski(sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
& r2_hidden(sK5(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0,X2,X6] :
( ? [X8] :
( r2_hidden(k4_tarski(X8,X6),X0)
& r2_hidden(X8,X2) )
=> ( r2_hidden(k4_tarski(sK6(X0,X2,X6),X6),X0)
& r2_hidden(sK6(X0,X2,X6),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k9_relat_1(X0,X2) = X1
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X2) )
| ~ r2_hidden(X3,X1) )
& ( ? [X5] :
( r2_hidden(k4_tarski(X5,X3),X0)
& r2_hidden(X5,X2) )
| r2_hidden(X3,X1) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X1)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X2) ) )
& ( ? [X8] :
( r2_hidden(k4_tarski(X8,X6),X0)
& r2_hidden(X8,X2) )
| ~ r2_hidden(X6,X1) ) )
| k9_relat_1(X0,X2) != X1 ) ) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k9_relat_1(X0,X2) = X1
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X2) )
| ~ r2_hidden(X3,X1) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X2) )
| r2_hidden(X3,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X2) ) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X2) )
| ~ r2_hidden(X3,X1) ) )
| k9_relat_1(X0,X2) != X1 ) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( k9_relat_1(X0,X2) = X1
<=> ! [X3] :
( r2_hidden(X3,X1)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X2) ) ) ) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( k9_relat_1(X0,X2) = X1
<=> ! [X3] :
( r2_hidden(X3,X1)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X2) ) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X2,X1] :
( ! [X3] :
( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) )
<=> r2_hidden(X3,X2) )
<=> k9_relat_1(X0,X1) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f268,plain,
~ r2_hidden(sK7(k9_relat_1(sK18,sK15),k8_relset_2(sK17,sK16,sK15,sK18)),k9_relat_1(sK18,sK15)),
inference(resolution,[],[f251,f209]) ).
fof(f209,plain,
! [X0,X1] :
( r1_tarski(X1,X0)
| ~ r2_hidden(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU439+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 15:52:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (24354)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)
% 0.20/0.46 % (24370)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)
% 0.20/0.47 % (24362)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)
% 0.20/0.48 % (24354)Instruction limit reached!
% 0.20/0.48 % (24354)------------------------------
% 0.20/0.48 % (24354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (24362)Instruction limit reached!
% 0.20/0.49 % (24362)------------------------------
% 0.20/0.49 % (24362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (24362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (24362)Termination reason: Unknown
% 0.20/0.49 % (24362)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (24362)Memory used [KB]: 1407
% 0.20/0.49 % (24362)Time elapsed: 0.005 s
% 0.20/0.49 % (24362)Instructions burned: 3 (million)
% 0.20/0.49 % (24362)------------------------------
% 0.20/0.49 % (24362)------------------------------
% 0.20/0.49 % (24354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (24354)Termination reason: Unknown
% 0.20/0.49 % (24354)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (24354)Memory used [KB]: 6268
% 0.20/0.49 % (24354)Time elapsed: 0.088 s
% 0.20/0.49 % (24354)Instructions burned: 12 (million)
% 0.20/0.49 % (24354)------------------------------
% 0.20/0.49 % (24354)------------------------------
% 0.20/0.50 % (24356)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)
% 0.20/0.51 % (24344)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (24372)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)
% 0.20/0.52 % (24345)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)
% 1.36/0.52 % (24353)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)
% 1.36/0.52 % (24347)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)
% 1.36/0.52 % (24348)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)
% 1.36/0.52 % (24368)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)
% 1.36/0.52 % (24357)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)
% 1.36/0.52 % (24355)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)
% 1.36/0.53 % (24366)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)
% 1.36/0.53 % (24355)Instruction limit reached!
% 1.36/0.53 % (24355)------------------------------
% 1.36/0.53 % (24355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (24355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (24355)Termination reason: Unknown
% 1.36/0.53 % (24355)Termination phase: Saturation
% 1.36/0.53
% 1.36/0.53 % (24355)Memory used [KB]: 6140
% 1.36/0.53 % (24355)Time elapsed: 0.133 s
% 1.36/0.53 % (24355)Instructions burned: 7 (million)
% 1.36/0.53 % (24355)------------------------------
% 1.36/0.53 % (24355)------------------------------
% 1.36/0.53 % (24361)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.36/0.53 % (24352)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)
% 1.36/0.53 % (24360)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)
% 1.36/0.53 % (24349)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)
% 1.36/0.53 % (24346)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)
% 1.36/0.53 % (24356)Instruction limit reached!
% 1.36/0.53 % (24356)------------------------------
% 1.36/0.53 % (24356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (24356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (24356)Termination reason: Unknown
% 1.36/0.53 % (24356)Termination phase: Saturation
% 1.36/0.53
% 1.36/0.53 % (24356)Memory used [KB]: 1791
% 1.36/0.53 % (24356)Time elapsed: 0.144 s
% 1.36/0.53 % (24356)Instructions burned: 17 (million)
% 1.36/0.53 % (24356)------------------------------
% 1.36/0.53 % (24356)------------------------------
% 1.36/0.53 % (24358)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)
% 1.36/0.53 % (24371)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)
% 1.36/0.53 % (24364)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)
% 1.36/0.53 % (24358)Instruction limit reached!
% 1.36/0.53 % (24358)------------------------------
% 1.36/0.53 % (24358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (24358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (24358)Termination reason: Unknown
% 1.36/0.53 % (24358)Termination phase: Function definition elimination
% 1.36/0.53
% 1.36/0.53 % (24358)Memory used [KB]: 1535
% 1.36/0.53 % (24358)Time elapsed: 0.004 s
% 1.36/0.53 % (24358)Instructions burned: 3 (million)
% 1.36/0.53 % (24358)------------------------------
% 1.36/0.53 % (24358)------------------------------
% 1.36/0.53 % (24359)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)
% 1.45/0.54 % (24373)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)
% 1.45/0.54 % (24346)Instruction limit reached!
% 1.45/0.54 % (24346)------------------------------
% 1.45/0.54 % (24346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (24346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (24346)Termination reason: Unknown
% 1.45/0.54 % (24346)Termination phase: Function definition elimination
% 1.45/0.54
% 1.45/0.54 % (24346)Memory used [KB]: 1535
% 1.45/0.54 % (24346)Time elapsed: 0.006 s
% 1.45/0.54 % (24346)Instructions burned: 3 (million)
% 1.45/0.54 % (24346)------------------------------
% 1.45/0.54 % (24346)------------------------------
% 1.45/0.54 % (24367)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)
% 1.45/0.54 % (24363)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)
% 1.45/0.54 % (24365)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)
% 1.45/0.54 % (24372)Instruction limit reached!
% 1.45/0.54 % (24372)------------------------------
% 1.45/0.54 % (24372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (24345)Instruction limit reached!
% 1.45/0.54 % (24345)------------------------------
% 1.45/0.54 % (24345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (24348)Instruction limit reached!
% 1.45/0.55 % (24348)------------------------------
% 1.45/0.55 % (24348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (24372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (24372)Termination reason: Unknown
% 1.45/0.55 % (24372)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (24372)Memory used [KB]: 6140
% 1.45/0.55 % (24372)Time elapsed: 0.153 s
% 1.45/0.55 % (24372)Instructions burned: 9 (million)
% 1.45/0.55 % (24372)------------------------------
% 1.45/0.55 % (24372)------------------------------
% 1.45/0.55 % (24350)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)
% 1.45/0.55 % (24369)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)
% 1.45/0.55 % (24348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (24348)Termination reason: Unknown
% 1.45/0.55 % (24348)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (24348)Memory used [KB]: 6140
% 1.45/0.55 % (24348)Time elapsed: 0.135 s
% 1.45/0.55 % (24348)Instructions burned: 14 (million)
% 1.45/0.55 % (24348)------------------------------
% 1.45/0.55 % (24348)------------------------------
% 1.45/0.55 % (24363)Refutation not found, incomplete strategy% (24363)------------------------------
% 1.45/0.55 % (24363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (24361)Instruction limit reached!
% 1.45/0.55 % (24361)------------------------------
% 1.45/0.55 % (24361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (24361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (24361)Termination reason: Unknown
% 1.45/0.55 % (24361)Termination phase: Function definition elimination
% 1.45/0.55
% 1.45/0.55 % (24361)Memory used [KB]: 1535
% 1.45/0.55 % (24361)Time elapsed: 0.004 s
% 1.45/0.55 % (24361)Instructions burned: 3 (million)
% 1.45/0.55 % (24361)------------------------------
% 1.45/0.55 % (24361)------------------------------
% 1.45/0.55 % (24351)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)
% 1.45/0.55 % (24359)Instruction limit reached!
% 1.45/0.55 % (24359)------------------------------
% 1.45/0.55 % (24359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (24349)Instruction limit reached!
% 1.45/0.56 % (24349)------------------------------
% 1.45/0.56 % (24349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (24345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (24345)Termination reason: Unknown
% 1.45/0.56 % (24345)Termination phase: Saturation
% 1.45/0.56
% 1.45/0.56 % (24345)Memory used [KB]: 6268
% 1.45/0.56 % (24345)Time elapsed: 0.128 s
% 1.45/0.56 % (24345)Instructions burned: 13 (million)
% 1.45/0.56 % (24345)------------------------------
% 1.45/0.56 % (24345)------------------------------
% 1.45/0.56 % (24359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (24359)Termination reason: Unknown
% 1.45/0.56 % (24359)Termination phase: Saturation
% 1.45/0.56
% 1.45/0.56 % (24359)Memory used [KB]: 6140
% 1.45/0.56 % (24359)Time elapsed: 0.158 s
% 1.45/0.56 % (24359)Instructions burned: 7 (million)
% 1.45/0.56 % (24359)------------------------------
% 1.45/0.56 % (24359)------------------------------
% 1.45/0.56 % (24363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (24363)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.56
% 1.45/0.56 % (24363)Memory used [KB]: 6012
% 1.45/0.56 % (24363)Time elapsed: 0.159 s
% 1.45/0.56 % (24363)Instructions burned: 4 (million)
% 1.45/0.56 % (24363)------------------------------
% 1.45/0.56 % (24363)------------------------------
% 1.45/0.56 % (24349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (24349)Termination reason: Unknown
% 1.45/0.56 % (24349)Termination phase: Saturation
% 1.45/0.56
% 1.45/0.56 % (24349)Memory used [KB]: 1791
% 1.45/0.56 % (24349)Time elapsed: 0.165 s
% 1.45/0.56 % (24349)Instructions burned: 16 (million)
% 1.45/0.56 % (24349)------------------------------
% 1.45/0.56 % (24349)------------------------------
% 1.45/0.58 % (24373)Instruction limit reached!
% 1.45/0.58 % (24373)------------------------------
% 1.45/0.58 % (24373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58 % (24373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58 % (24373)Termination reason: Unknown
% 1.45/0.58 % (24373)Termination phase: Saturation
% 1.45/0.58
% 1.45/0.58 % (24373)Memory used [KB]: 6396
% 1.45/0.58 % (24373)Time elapsed: 0.169 s
% 1.45/0.58 % (24373)Instructions burned: 25 (million)
% 1.45/0.58 % (24373)------------------------------
% 1.45/0.58 % (24373)------------------------------
% 1.45/0.58 % (24364)Instruction limit reached!
% 1.45/0.58 % (24364)------------------------------
% 1.45/0.58 % (24364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58 % (24364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58 % (24364)Termination reason: Unknown
% 1.45/0.58 % (24364)Termination phase: Saturation
% 1.45/0.58
% 1.45/0.58 % (24364)Memory used [KB]: 6396
% 1.45/0.58 % (24364)Time elapsed: 0.195 s
% 1.45/0.58 % (24364)Instructions burned: 31 (million)
% 1.45/0.58 % (24364)------------------------------
% 1.45/0.58 % (24364)------------------------------
% 1.45/0.59 % (24371)Instruction limit reached!
% 1.45/0.59 % (24371)------------------------------
% 1.45/0.59 % (24371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.59 % (24371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.59 % (24371)Termination reason: Unknown
% 1.45/0.59 % (24371)Termination phase: Saturation
% 1.45/0.59
% 1.45/0.59 % (24371)Memory used [KB]: 6396
% 1.45/0.59 % (24371)Time elapsed: 0.190 s
% 1.45/0.59 % (24371)Instructions burned: 25 (million)
% 1.45/0.59 % (24371)------------------------------
% 1.45/0.59 % (24371)------------------------------
% 1.45/0.60 % (24374)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.45/0.60 % (24353)Instruction limit reached!
% 1.45/0.60 % (24353)------------------------------
% 1.45/0.60 % (24353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.60 % (24352)Instruction limit reached!
% 1.45/0.60 % (24352)------------------------------
% 1.45/0.60 % (24352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.60 % (24352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.60 % (24352)Termination reason: Unknown
% 1.45/0.60 % (24352)Termination phase: Saturation
% 1.45/0.60
% 1.45/0.60 % (24352)Memory used [KB]: 6908
% 1.45/0.60 % (24352)Time elapsed: 0.191 s
% 1.45/0.60 % (24352)Instructions burned: 49 (million)
% 1.45/0.60 % (24352)------------------------------
% 1.45/0.60 % (24352)------------------------------
% 1.45/0.60 % (24353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.60 % (24353)Termination reason: Unknown
% 1.45/0.60 % (24353)Termination phase: Saturation
% 1.45/0.60
% 1.45/0.60 % (24353)Memory used [KB]: 6652
% 1.45/0.60 % (24353)Time elapsed: 0.140 s
% 1.45/0.60 % (24353)Instructions burned: 34 (million)
% 1.45/0.60 % (24353)------------------------------
% 1.45/0.60 % (24353)------------------------------
% 1.45/0.60 % (24357)Instruction limit reached!
% 1.45/0.60 % (24357)------------------------------
% 1.45/0.60 % (24357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.60 % (24357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.60 % (24357)Termination reason: Unknown
% 1.45/0.60 % (24357)Termination phase: Saturation
% 1.45/0.60
% 1.45/0.60 % (24357)Memory used [KB]: 7164
% 1.45/0.60 % (24357)Time elapsed: 0.208 s
% 1.45/0.60 % (24357)Instructions burned: 51 (million)
% 1.45/0.60 % (24357)------------------------------
% 1.45/0.60 % (24357)------------------------------
% 1.45/0.61 % (24367)Instruction limit reached!
% 1.45/0.61 % (24367)------------------------------
% 1.45/0.61 % (24367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.61 % (24367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61 % (24367)Termination reason: Unknown
% 1.45/0.61 % (24367)Termination phase: Saturation
% 1.45/0.61
% 1.45/0.61 % (24367)Memory used [KB]: 2174
% 1.45/0.61 % (24367)Time elapsed: 0.198 s
% 1.45/0.61 % (24367)Instructions burned: 46 (million)
% 1.45/0.61 % (24367)------------------------------
% 1.45/0.61 % (24367)------------------------------
% 1.45/0.61 % (24351)Instruction limit reached!
% 1.45/0.61 % (24351)------------------------------
% 1.45/0.61 % (24351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.61 % (24351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61 % (24351)Termination reason: Unknown
% 1.45/0.61 % (24351)Termination phase: Saturation
% 1.45/0.61
% 1.45/0.61 % (24351)Memory used [KB]: 6908
% 1.45/0.61 % (24351)Time elapsed: 0.228 s
% 1.45/0.61 % (24351)Instructions burned: 40 (million)
% 1.45/0.61 % (24351)------------------------------
% 1.45/0.61 % (24351)------------------------------
% 1.45/0.61 % (24370)First to succeed.
% 1.45/0.61 % (24368)Instruction limit reached!
% 1.45/0.61 % (24368)------------------------------
% 1.45/0.61 % (24368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.61 % (24368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61 % (24368)Termination reason: Unknown
% 1.45/0.61 % (24368)Termination phase: Saturation
% 1.45/0.61
% 1.45/0.61 % (24368)Memory used [KB]: 6780
% 1.45/0.61 % (24368)Time elapsed: 0.152 s
% 1.45/0.61 % (24368)Instructions burned: 51 (million)
% 1.45/0.61 % (24368)------------------------------
% 1.45/0.61 % (24368)------------------------------
% 1.45/0.62 % (24350)Instruction limit reached!
% 1.45/0.62 % (24350)------------------------------
% 1.45/0.62 % (24350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.62 % (24350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.62 % (24350)Termination reason: Unknown
% 1.45/0.62 % (24350)Termination phase: Saturation
% 1.45/0.62
% 1.45/0.62 % (24350)Memory used [KB]: 6396
% 1.45/0.62 % (24350)Time elapsed: 0.208 s
% 1.45/0.62 % (24350)Instructions burned: 39 (million)
% 1.45/0.62 % (24350)------------------------------
% 1.45/0.62 % (24350)------------------------------
% 1.45/0.62 % (24347)Instruction limit reached!
% 1.45/0.62 % (24347)------------------------------
% 1.45/0.62 % (24347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.62 % (24347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.62 % (24347)Termination reason: Unknown
% 1.45/0.62 % (24347)Termination phase: Saturation
% 1.45/0.62
% 1.45/0.62 % (24347)Memory used [KB]: 7164
% 1.45/0.62 % (24347)Time elapsed: 0.204 s
% 1.45/0.62 % (24347)Instructions burned: 53 (million)
% 1.45/0.62 % (24347)------------------------------
% 1.45/0.62 % (24347)------------------------------
% 1.45/0.63 % (24360)Also succeeded, but the first one will report.
% 2.11/0.63 % (24370)Refutation found. Thanks to Tanya!
% 2.11/0.63 % SZS status Theorem for theBenchmark
% 2.11/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.11/0.63 % (24370)------------------------------
% 2.11/0.63 % (24370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63 % (24370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63 % (24370)Termination reason: Refutation
% 2.11/0.63
% 2.11/0.63 % (24370)Memory used [KB]: 7291
% 2.11/0.63 % (24370)Time elapsed: 0.220 s
% 2.11/0.63 % (24370)Instructions burned: 81 (million)
% 2.11/0.63 % (24370)------------------------------
% 2.11/0.63 % (24370)------------------------------
% 2.11/0.63 % (24343)Success in time 0.275 s
%------------------------------------------------------------------------------