TSTP Solution File: LAT310+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.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 17:36:53 EDT 2022
% Result : Theorem 1.72s 0.60s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of formulae : 140 ( 24 unt; 0 def)
% Number of atoms : 659 ( 13 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 843 ( 324 ~; 333 |; 135 &)
% ( 23 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 21 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 150 ( 122 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1300,plain,
$false,
inference(avatar_sat_refutation,[],[f222,f227,f600,f620,f622,f640,f719,f742,f766,f795,f832,f836,f859,f871,f944,f966,f991,f997,f1071,f1275,f1294]) ).
fof(f1294,plain,
spl20_61,
inference(avatar_contradiction_clause,[],[f1291]) ).
fof(f1291,plain,
( $false
| spl20_61 ),
inference(resolution,[],[f965,f151]) ).
fof(f151,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( l3_lattices(sK1)
& ~ v3_struct_0(sK1)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1)))
& ( ( r1_tarski(sK3,sK4)
& ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,sK4)) )
| ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2)) )
& ~ v1_xboole_0(sK4)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(sK3)
& ~ v1_xboole_0(sK2)
& v10_lattices(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f62,f103,f102,f101,f100]) ).
fof(f100,plain,
( ? [X0] :
( l3_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ? [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ( ( r1_tarski(X2,X3)
& ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) )
| ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) )
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& ~ v1_xboole_0(X1) )
& v10_lattices(X0) )
=> ( l3_lattices(sK1)
& ~ v3_struct_0(sK1)
& ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
& ? [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
& ( ( r1_tarski(X2,X3)
& ~ r1_tarski(k19_filter_2(sK1,X2),k19_filter_2(sK1,X3)) )
| ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,X1)),k19_filter_2(sK1,X1)) )
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(X2) )
& ~ v1_xboole_0(X1) )
& v10_lattices(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
( ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
& ? [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
& ( ( r1_tarski(X2,X3)
& ~ r1_tarski(k19_filter_2(sK1,X2),k19_filter_2(sK1,X3)) )
| ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,X1)),k19_filter_2(sK1,X1)) )
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(X2) )
& ~ v1_xboole_0(X1) )
=> ( m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& ? [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
& ( ( r1_tarski(X2,X3)
& ~ r1_tarski(k19_filter_2(sK1,X2),k19_filter_2(sK1,X3)) )
| ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2)) )
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(X2) )
& ~ v1_xboole_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
& ( ( r1_tarski(X2,X3)
& ~ r1_tarski(k19_filter_2(sK1,X2),k19_filter_2(sK1,X3)) )
| ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2)) )
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(X2) )
=> ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
& ( ( r1_tarski(sK3,X3)
& ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,X3)) )
| ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2)) )
& ~ v1_xboole_0(X3) )
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v1_xboole_0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
& ( ( r1_tarski(sK3,X3)
& ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,X3)) )
| ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2)) )
& ~ v1_xboole_0(X3) )
=> ( m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1)))
& ( ( r1_tarski(sK3,sK4)
& ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,sK4)) )
| ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2)) )
& ~ v1_xboole_0(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ? [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ( ( r1_tarski(X2,X3)
& ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) )
| ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) )
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& ~ v1_xboole_0(X1) )
& v10_lattices(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( r1_tarski(X2,X3)
& ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) )
| ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) )
& ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
& ( r1_tarski(X2,X3)
=> r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
& ( r1_tarski(X2,X3)
=> r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
fof(f965,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| spl20_61 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f963,plain,
( spl20_61
<=> m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_61])]) ).
fof(f1275,plain,
( ~ spl20_20
| ~ spl20_18
| ~ spl20_66
| spl20_13
| spl20_60
| ~ spl20_65 ),
inference(avatar_split_clause,[],[f1266,f989,f959,f353,f994,f567,f575]) ).
fof(f575,plain,
( spl20_20
<=> l3_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).
fof(f567,plain,
( spl20_18
<=> v10_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f994,plain,
( spl20_66
<=> m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).
fof(f353,plain,
( spl20_13
<=> v3_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f959,plain,
( spl20_60
<=> r1_tarski(sK3,k19_filter_2(sK1,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).
fof(f989,plain,
( spl20_65
<=> ! [X1] :
( r1_tarski(sK3,k19_filter_2(X1,sK4))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).
fof(f1266,plain,
( v3_struct_0(sK1)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl20_60
| ~ spl20_65 ),
inference(resolution,[],[f990,f961]) ).
fof(f961,plain,
( ~ r1_tarski(sK3,k19_filter_2(sK1,sK4))
| spl20_60 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f990,plain,
( ! [X1] :
( r1_tarski(sK3,k19_filter_2(X1,sK4))
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1) )
| ~ spl20_65 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f1071,plain,
spl20_66,
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1068,plain,
( $false
| spl20_66 ),
inference(resolution,[],[f996,f155]) ).
fof(f155,plain,
m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f104]) ).
fof(f996,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1)))
| spl20_66 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f997,plain,
( spl20_23
| ~ spl20_20
| spl20_13
| ~ spl20_66
| ~ spl20_18
| spl20_59 ),
inference(avatar_split_clause,[],[f992,f955,f567,f994,f353,f575,f588]) ).
fof(f588,plain,
( spl20_23
<=> v1_xboole_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
fof(f955,plain,
( spl20_59
<=> m2_filter_2(k19_filter_2(sK1,sK4),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_59])]) ).
fof(f992,plain,
( ~ v10_lattices(sK1)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| v1_xboole_0(sK4)
| spl20_59 ),
inference(resolution,[],[f957,f196]) ).
fof(f196,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( v1_xboole_0(X0)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| m2_filter_2(k19_filter_2(X1,X0),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( m2_filter_2(k19_filter_2(X1,X0),X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| v1_xboole_0(X0)
| ~ v10_lattices(X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( ~ v3_struct_0(X1)
& m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
& l3_lattices(X1)
& ~ v1_xboole_0(X0)
& v10_lattices(X1) )
=> m2_filter_2(k19_filter_2(X1,X0),X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( ( l3_lattices(X0)
& ~ v1_xboole_0(X1)
& ~ v3_struct_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v10_lattices(X0) )
=> m2_filter_2(k19_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k19_filter_2) ).
fof(f957,plain,
( ~ m2_filter_2(k19_filter_2(sK1,sK4),sK1)
| spl20_59 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f991,plain,
( spl20_23
| spl20_65
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f982,f224,f989,f588]) ).
fof(f224,plain,
( spl20_3
<=> r1_tarski(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f982,plain,
( ! [X1] :
( r1_tarski(sK3,k19_filter_2(X1,sK4))
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(sK4)
| ~ l3_lattices(X1)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ spl20_3 ),
inference(resolution,[],[f948,f310]) ).
fof(f310,plain,
! [X0,X1] :
( r1_tarski(X0,k19_filter_2(X1,X0))
| v1_xboole_0(X0)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1) ),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f309,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| r1_tarski(X0,k19_filter_2(X1,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1) ),
inference(resolution,[],[f210,f196]) ).
fof(f210,plain,
! [X0,X1] :
( ~ m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v1_xboole_0(X1)
| r1_tarski(X1,k19_filter_2(X0,X1))
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f209]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m2_filter_2(X2,X0)
| r1_tarski(X1,X2)
| k19_filter_2(X0,X1) != X2
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_filter_2(X2,X0)
| ( ( ( r1_tarski(X1,X2)
& ! [X3] :
( ~ m2_filter_2(X3,X0)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) )
| k19_filter_2(X0,X1) != X2 )
& ( k19_filter_2(X0,X1) = X2
| ~ r1_tarski(X1,X2)
| ( m2_filter_2(sK18(X0,X1,X2),X0)
& r1_tarski(X1,sK18(X0,X1,X2))
& ~ r1_tarski(X2,sK18(X0,X1,X2)) ) ) ) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f140,f141]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ? [X4] :
( m2_filter_2(X4,X0)
& r1_tarski(X1,X4)
& ~ r1_tarski(X2,X4) )
=> ( m2_filter_2(sK18(X0,X1,X2),X0)
& r1_tarski(X1,sK18(X0,X1,X2))
& ~ r1_tarski(X2,sK18(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_filter_2(X2,X0)
| ( ( ( r1_tarski(X1,X2)
& ! [X3] :
( ~ m2_filter_2(X3,X0)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) )
| k19_filter_2(X0,X1) != X2 )
& ( k19_filter_2(X0,X1) = X2
| ~ r1_tarski(X1,X2)
| ? [X4] :
( m2_filter_2(X4,X0)
& r1_tarski(X1,X4)
& ~ r1_tarski(X2,X4) ) ) ) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_filter_2(X2,X0)
| ( ( ( r1_tarski(X1,X2)
& ! [X3] :
( ~ m2_filter_2(X3,X0)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) )
| k19_filter_2(X0,X1) != X2 )
& ( k19_filter_2(X0,X1) = X2
| ~ r1_tarski(X1,X2)
| ? [X3] :
( m2_filter_2(X3,X0)
& r1_tarski(X1,X3)
& ~ r1_tarski(X2,X3) ) ) ) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_filter_2(X2,X0)
| ( ( ( r1_tarski(X1,X2)
& ! [X3] :
( ~ m2_filter_2(X3,X0)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) )
| k19_filter_2(X0,X1) != X2 )
& ( k19_filter_2(X0,X1) = X2
| ~ r1_tarski(X1,X2)
| ? [X3] :
( m2_filter_2(X3,X0)
& r1_tarski(X1,X3)
& ~ r1_tarski(X2,X3) ) ) ) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_filter_2(X2,X0)
| ( ( r1_tarski(X1,X2)
& ! [X3] :
( ~ m2_filter_2(X3,X0)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) )
<=> k19_filter_2(X0,X1) = X2 ) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k19_filter_2(X0,X1) = X2
<=> ( ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) )
& r1_tarski(X1,X2) ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( k19_filter_2(X0,X1) = X2
<=> ( ! [X3] :
( m2_filter_2(X3,X0)
=> ( r1_tarski(X1,X3)
=> r1_tarski(X2,X3) ) )
& r1_tarski(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_filter_2) ).
fof(f948,plain,
( ! [X1] :
( ~ r1_tarski(sK4,X1)
| r1_tarski(sK3,X1) )
| ~ spl20_3 ),
inference(resolution,[],[f226,f185]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X0)
| r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( r1_tarski(X2,X1)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X2,X1,X0] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X2,X1) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X2,X1,X0] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X2,X1,X0] :
( ( r1_tarski(X2,X1)
& r1_tarski(X0,X2) )
=> r1_tarski(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X0,X2,X1] :
( ( r1_tarski(X1,X2)
& r1_tarski(X0,X1) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f226,plain,
( r1_tarski(sK3,sK4)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f966,plain,
( ~ spl20_59
| spl20_21
| spl20_13
| ~ spl20_18
| ~ spl20_60
| ~ spl20_20
| ~ spl20_61
| spl20_2 ),
inference(avatar_split_clause,[],[f953,f219,f963,f575,f959,f567,f353,f579,f955]) ).
fof(f579,plain,
( spl20_21
<=> v1_xboole_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).
fof(f219,plain,
( spl20_2
<=> r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f953,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ r1_tarski(sK3,k19_filter_2(sK1,sK4))
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| v1_xboole_0(sK3)
| ~ m2_filter_2(k19_filter_2(sK1,sK4),sK1)
| spl20_2 ),
inference(resolution,[],[f221,f376]) ).
fof(f376,plain,
! [X2,X0,X1] :
( r1_tarski(k19_filter_2(X0,X1),X2)
| v1_xboole_0(X1)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X2,X0) ),
inference(duplicate_literal_removal,[],[f375]) ).
fof(f375,plain,
! [X2,X0,X1] :
( v1_xboole_0(X1)
| ~ v10_lattices(X0)
| ~ r1_tarski(X1,X2)
| r1_tarski(k19_filter_2(X0,X1),X2)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_filter_2(X2,X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f211,f196]) ).
fof(f211,plain,
! [X3,X0,X1] :
( ~ m2_filter_2(k19_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| ~ m2_filter_2(X3,X0)
| ~ r1_tarski(X1,X3)
| v1_xboole_0(X1)
| r1_tarski(k19_filter_2(X0,X1),X3)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f208]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m2_filter_2(X2,X0)
| ~ m2_filter_2(X3,X0)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3)
| k19_filter_2(X0,X1) != X2
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f221,plain,
( ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,sK4))
| spl20_2 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f944,plain,
( ~ spl20_20
| ~ spl20_29
| ~ spl20_18
| spl20_13
| spl20_47 ),
inference(avatar_split_clause,[],[f943,f868,f353,f567,f629,f575]) ).
fof(f629,plain,
( spl20_29
<=> m2_filter_2(k19_filter_2(sK1,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
fof(f868,plain,
( spl20_47
<=> m2_lattice4(k19_filter_2(sK1,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_47])]) ).
fof(f943,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ m2_filter_2(k19_filter_2(sK1,sK2),sK1)
| ~ l3_lattices(sK1)
| spl20_47 ),
inference(resolution,[],[f870,f180]) ).
fof(f180,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ~ l3_lattices(X0)
| ! [X1] :
( ~ m2_filter_2(X1,X0)
| ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ~ m2_filter_2(X1,X0)
| ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f870,plain,
( ~ m2_lattice4(k19_filter_2(sK1,sK2),sK1)
| spl20_47 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f871,plain,
( spl20_13
| ~ spl20_47
| ~ spl20_20
| ~ spl20_18
| spl20_31 ),
inference(avatar_split_clause,[],[f865,f637,f567,f575,f868,f353]) ).
fof(f637,plain,
( spl20_31
<=> m1_subset_1(k19_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_31])]) ).
fof(f865,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m2_lattice4(k19_filter_2(sK1,sK2),sK1)
| v3_struct_0(sK1)
| spl20_31 ),
inference(resolution,[],[f639,f147]) ).
fof(f147,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f639,plain,
( ~ m1_subset_1(k19_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK1)))
| spl20_31 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f859,plain,
spl20_30,
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f857,plain,
( $false
| spl20_30 ),
inference(resolution,[],[f635,f165]) ).
fof(f165,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X1] : r1_tarski(X1,X1),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X1,X0] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f635,plain,
( ~ r1_tarski(k19_filter_2(sK1,sK2),k19_filter_2(sK1,sK2))
| spl20_30 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl20_30
<=> r1_tarski(k19_filter_2(sK1,sK2),k19_filter_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
fof(f836,plain,
spl20_44,
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| spl20_44 ),
inference(resolution,[],[f831,f156]) ).
fof(f156,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f104]) ).
fof(f831,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| spl20_44 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f829,plain,
( spl20_44
<=> m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_44])]) ).
fof(f832,plain,
( spl20_25
| spl20_13
| ~ spl20_44
| ~ spl20_20
| ~ spl20_18
| spl20_29 ),
inference(avatar_split_clause,[],[f827,f629,f567,f575,f829,f353,f597]) ).
fof(f597,plain,
( spl20_25
<=> v1_xboole_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
fof(f827,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| v1_xboole_0(sK2)
| spl20_29 ),
inference(resolution,[],[f631,f196]) ).
fof(f631,plain,
( ~ m2_filter_2(k19_filter_2(sK1,sK2),sK1)
| spl20_29 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f795,plain,
~ spl20_25,
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f790,plain,
( $false
| ~ spl20_25 ),
inference(resolution,[],[f599,f149]) ).
fof(f149,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f104]) ).
fof(f599,plain,
( v1_xboole_0(sK2)
| ~ spl20_25 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f766,plain,
~ spl20_23,
inference(avatar_split_clause,[],[f152,f588]) ).
fof(f152,plain,
~ v1_xboole_0(sK4),
inference(cnf_transformation,[],[f104]) ).
fof(f742,plain,
~ spl20_21,
inference(avatar_split_clause,[],[f150,f579]) ).
fof(f150,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f104]) ).
fof(f719,plain,
~ spl20_13,
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f718,plain,
( $false
| ~ spl20_13 ),
inference(resolution,[],[f355,f157]) ).
fof(f157,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f355,plain,
( v3_struct_0(sK1)
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f640,plain,
( ~ spl20_29
| ~ spl20_20
| spl20_24
| ~ spl20_30
| ~ spl20_31
| ~ spl20_18
| spl20_13
| spl20_1 ),
inference(avatar_split_clause,[],[f623,f215,f353,f567,f637,f633,f593,f575,f629]) ).
fof(f593,plain,
( spl20_24
<=> v1_xboole_0(k19_filter_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
fof(f215,plain,
( spl20_1
<=> r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f623,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(k19_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(k19_filter_2(sK1,sK2),k19_filter_2(sK1,sK2))
| v1_xboole_0(k19_filter_2(sK1,sK2))
| ~ l3_lattices(sK1)
| ~ m2_filter_2(k19_filter_2(sK1,sK2),sK1)
| spl20_1 ),
inference(resolution,[],[f376,f217]) ).
fof(f217,plain,
( ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2))
| spl20_1 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f622,plain,
spl20_20,
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| spl20_20 ),
inference(resolution,[],[f577,f158]) ).
fof(f158,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f577,plain,
( ~ l3_lattices(sK1)
| spl20_20 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f620,plain,
spl20_18,
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f619,plain,
( $false
| spl20_18 ),
inference(resolution,[],[f569,f148]) ).
fof(f148,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f569,plain,
( ~ v10_lattices(sK1)
| spl20_18 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f600,plain,
( ~ spl20_20
| spl20_13
| ~ spl20_18
| ~ spl20_24
| spl20_25 ),
inference(avatar_split_clause,[],[f559,f597,f593,f567,f353,f575]) ).
fof(f559,plain,
( v1_xboole_0(sK2)
| ~ v1_xboole_0(k19_filter_2(sK1,sK2))
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f308,f156]) ).
fof(f308,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k19_filter_2(X1,X0))
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(duplicate_literal_removal,[],[f307]) ).
fof(f307,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ v1_xboole_0(k19_filter_2(X1,X0))
| ~ l3_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1) ),
inference(resolution,[],[f196,f179]) ).
fof(f179,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f227,plain,
( ~ spl20_1
| spl20_3 ),
inference(avatar_split_clause,[],[f154,f224,f215]) ).
fof(f154,plain,
( r1_tarski(sK3,sK4)
| ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f222,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f153,f219,f215]) ).
fof(f153,plain,
( ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,sK4))
| ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2)) ),
inference(cnf_transformation,[],[f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT310+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_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 01:18:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (15480)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50 % (15478)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.50 % (15482)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (15498)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51 % (15481)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (15490)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (15484)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (15495)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (15479)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (15493)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (15501)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52 % (15502)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (15500)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (15483)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (15506)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (15488)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (15496)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (15479)Refutation not found, incomplete strategy% (15479)------------------------------
% 0.20/0.53 % (15479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15485)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (15486)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (15503)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (15479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15479)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (15479)Memory used [KB]: 5628
% 0.20/0.53 % (15479)Time elapsed: 0.099 s
% 0.20/0.53 % (15479)Instructions burned: 5 (million)
% 0.20/0.53 % (15479)------------------------------
% 0.20/0.53 % (15479)------------------------------
% 0.20/0.53 % (15494)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (15491)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (15492)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (15499)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (15507)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (15487)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (15504)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (15486)Instruction limit reached!
% 0.20/0.54 % (15486)------------------------------
% 0.20/0.54 % (15486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15485)Instruction limit reached!
% 0.20/0.54 % (15485)------------------------------
% 0.20/0.54 % (15485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15485)Termination reason: Unknown
% 0.20/0.54 % (15485)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (15485)Memory used [KB]: 5628
% 0.20/0.54 % (15485)Time elapsed: 0.105 s
% 0.20/0.54 % (15485)Instructions burned: 7 (million)
% 0.20/0.54 % (15485)------------------------------
% 0.20/0.54 % (15485)------------------------------
% 0.20/0.54 % (15486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15486)Termination reason: Unknown
% 0.20/0.54 % (15486)Termination phase: Blocked clause elimination
% 0.20/0.54
% 0.20/0.54 % (15486)Memory used [KB]: 1023
% 0.20/0.54 % (15486)Time elapsed: 0.004 s
% 0.20/0.54 % (15486)Instructions burned: 4 (million)
% 0.20/0.54 % (15486)------------------------------
% 0.20/0.54 % (15486)------------------------------
% 0.20/0.54 TRYING [3]
% 0.20/0.54 TRYING [4]
% 0.20/0.55 % (15505)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (15489)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 TRYING [4]
% 1.60/0.56 TRYING [1]
% 1.60/0.56 TRYING [2]
% 1.60/0.56 TRYING [3]
% 1.60/0.56 % (15497)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.60/0.57 TRYING [4]
% 1.72/0.58 % (15480)Instruction limit reached!
% 1.72/0.58 % (15480)------------------------------
% 1.72/0.58 % (15480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (15480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59 % (15480)Termination reason: Unknown
% 1.72/0.59 % (15480)Termination phase: Saturation
% 1.72/0.59
% 1.72/0.59 % (15480)Memory used [KB]: 1407
% 1.72/0.59 % (15480)Time elapsed: 0.179 s
% 1.72/0.59 % (15480)Instructions burned: 38 (million)
% 1.72/0.59 % (15480)------------------------------
% 1.72/0.59 % (15480)------------------------------
% 1.72/0.59 % (15488)First to succeed.
% 1.72/0.59 % (15482)Instruction limit reached!
% 1.72/0.59 % (15482)------------------------------
% 1.72/0.59 % (15482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59 % (15482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59 % (15482)Termination reason: Unknown
% 1.72/0.59 % (15482)Termination phase: Saturation
% 1.72/0.59
% 1.72/0.59 % (15482)Memory used [KB]: 6268
% 1.72/0.59 % (15482)Time elapsed: 0.192 s
% 1.72/0.59 % (15482)Instructions burned: 51 (million)
% 1.72/0.59 % (15482)------------------------------
% 1.72/0.59 % (15482)------------------------------
% 1.72/0.60 TRYING [5]
% 1.72/0.60 % (15488)Refutation found. Thanks to Tanya!
% 1.72/0.60 % SZS status Theorem for theBenchmark
% 1.72/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.60 % (15488)------------------------------
% 1.72/0.60 % (15488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.60 % (15488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.60 % (15488)Termination reason: Refutation
% 1.72/0.60
% 1.72/0.60 % (15488)Memory used [KB]: 6268
% 1.72/0.60 % (15488)Time elapsed: 0.185 s
% 1.72/0.60 % (15488)Instructions burned: 38 (million)
% 1.72/0.60 % (15488)------------------------------
% 1.72/0.60 % (15488)------------------------------
% 1.72/0.60 % (15477)Success in time 0.247 s
%------------------------------------------------------------------------------