TSTP Solution File: SEU008+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU008+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n024.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 18:26:19 EDT 2022
% Result : Theorem 1.56s 0.55s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 94 ( 18 unt; 0 def)
% Number of atoms : 356 ( 76 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 420 ( 158 ~; 155 |; 70 &)
% ( 16 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 141 ( 124 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f422,plain,
$false,
inference(avatar_sat_refutation,[],[f293,f307,f397,f400,f402,f406,f408,f419,f421]) ).
fof(f421,plain,
( ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_13 ),
inference(avatar_split_clause,[],[f420,f394,f382,f378,f286]) ).
fof(f286,plain,
( spl14_3
<=> in(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f378,plain,
( spl14_9
<=> function(identity_relation(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f382,plain,
( spl14_10
<=> relation(identity_relation(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f394,plain,
( spl14_13
<=> in(sK0,relation_dom(identity_relation(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f420,plain,
( ~ relation(identity_relation(sK1))
| ~ function(identity_relation(sK1))
| ~ in(sK0,sK1)
| spl14_13 ),
inference(superposition,[],[f396,f200]) ).
fof(f200,plain,
! [X1] :
( relation_dom(identity_relation(X1)) = X1
| ~ relation(identity_relation(X1))
| ~ function(identity_relation(X1)) ),
inference(equality_resolution,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( ~ relation(X0)
| relation_dom(X0) = X1
| identity_relation(X1) != X0
| ~ function(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ relation(X0)
| ( ( ( relation_dom(X0) = X1
& ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 ) )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ( in(sK13(X0,X1),X1)
& sK13(X0,X1) != apply(X0,sK13(X0,X1)) ) ) )
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f130,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& apply(X0,X3) != X3 )
=> ( in(sK13(X0,X1),X1)
& sK13(X0,X1) != apply(X0,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0,X1] :
( ~ relation(X0)
| ( ( ( relation_dom(X0) = X1
& ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 ) )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ? [X3] :
( in(X3,X1)
& apply(X0,X3) != X3 ) ) )
| ~ function(X0) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ~ relation(X0)
| ( ( ( relation_dom(X0) = X1
& ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 ) )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 ) ) )
| ~ function(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ relation(X0)
| ( ( ( relation_dom(X0) = X1
& ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 ) )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 ) ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ relation(X0)
| ( ( relation_dom(X0) = X1
& ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 ) )
<=> identity_relation(X1) = X0 )
| ~ function(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( ( ( relation_dom(X0) = X1
& ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 ) )
<=> identity_relation(X1) = X0 )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ( relation(X0)
& function(X0) )
=> ( identity_relation(X1) = X0
<=> ( relation_dom(X0) = X1
& ! [X2] :
( in(X2,X1)
=> apply(X0,X2) = X2 ) ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( identity_relation(X0) = X1
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f396,plain,
( ~ in(sK0,relation_dom(identity_relation(sK1)))
| spl14_13 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f419,plain,
( ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12 ),
inference(avatar_split_clause,[],[f418,f390,f382,f378,f286]) ).
fof(f390,plain,
( spl14_12
<=> apply(sK2,sK0) = apply(sK2,apply(identity_relation(sK1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f418,plain,
( ~ relation(identity_relation(sK1))
| ~ function(identity_relation(sK1))
| ~ in(sK0,sK1)
| spl14_12 ),
inference(trivial_inequality_removal,[],[f417]) ).
fof(f417,plain,
( apply(sK2,sK0) != apply(sK2,sK0)
| ~ function(identity_relation(sK1))
| ~ in(sK0,sK1)
| ~ relation(identity_relation(sK1))
| spl14_12 ),
inference(superposition,[],[f392,f201]) ).
fof(f201,plain,
! [X2,X1] :
( apply(identity_relation(X1),X2) = X2
| ~ function(identity_relation(X1))
| ~ in(X2,X1)
| ~ relation(identity_relation(X1)) ),
inference(equality_resolution,[],[f193]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ in(X2,X1)
| apply(X0,X2) = X2
| identity_relation(X1) != X0
| ~ function(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f392,plain,
( apply(sK2,sK0) != apply(sK2,apply(identity_relation(sK1),sK0))
| spl14_12 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f408,plain,
spl14_11,
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| spl14_11 ),
inference(resolution,[],[f388,f135]) ).
fof(f135,plain,
function(sK2),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( in(sK0,set_intersection2(relation_dom(sK2),sK1))
& function(sK2)
& apply(sK2,sK0) != apply(relation_composition(identity_relation(sK1),sK2),sK0)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f60,f91]) ).
fof(f91,plain,
( ? [X0,X1,X2] :
( in(X0,set_intersection2(relation_dom(X2),X1))
& function(X2)
& apply(relation_composition(identity_relation(X1),X2),X0) != apply(X2,X0)
& relation(X2) )
=> ( in(sK0,set_intersection2(relation_dom(sK2),sK1))
& function(sK2)
& apply(sK2,sK0) != apply(relation_composition(identity_relation(sK1),sK2),sK0)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0,X1,X2] :
( in(X0,set_intersection2(relation_dom(X2),X1))
& function(X2)
& apply(relation_composition(identity_relation(X1),X2),X0) != apply(X2,X0)
& relation(X2) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X2,X1,X0] :
( apply(relation_composition(identity_relation(X1),X2),X0) != apply(X2,X0)
& in(X0,set_intersection2(relation_dom(X2),X1))
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
~ ! [X2,X1,X0] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,set_intersection2(relation_dom(X2),X1))
=> apply(relation_composition(identity_relation(X1),X2),X0) = apply(X2,X0) ) ),
inference(rectify,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X1,X0,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,set_intersection2(relation_dom(X2),X0))
=> apply(X2,X1) = apply(relation_composition(identity_relation(X0),X2),X1) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X1,X0,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,set_intersection2(relation_dom(X2),X0))
=> apply(X2,X1) = apply(relation_composition(identity_relation(X0),X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_funct_1) ).
fof(f388,plain,
( ~ function(sK2)
| spl14_11 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl14_11
<=> function(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f406,plain,
spl14_10,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| spl14_10 ),
inference(resolution,[],[f384,f150]) ).
fof(f150,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( relation(identity_relation(X0))
& function(identity_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f384,plain,
( ~ relation(identity_relation(sK1))
| spl14_10 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f402,plain,
spl14_9,
inference(avatar_contradiction_clause,[],[f401]) ).
fof(f401,plain,
( $false
| spl14_9 ),
inference(resolution,[],[f380,f149]) ).
fof(f149,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f380,plain,
( ~ function(identity_relation(sK1))
| spl14_9 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f400,plain,
spl14_8,
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f399,plain,
( $false
| spl14_8 ),
inference(resolution,[],[f360,f133]) ).
fof(f133,plain,
relation(sK2),
inference(cnf_transformation,[],[f92]) ).
fof(f360,plain,
( ~ relation(sK2)
| spl14_8 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f358,plain,
( spl14_8
<=> relation(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f397,plain,
( ~ spl14_9
| ~ spl14_10
| ~ spl14_8
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13 ),
inference(avatar_split_clause,[],[f375,f394,f390,f386,f358,f382,f378]) ).
fof(f375,plain,
( ~ in(sK0,relation_dom(identity_relation(sK1)))
| apply(sK2,sK0) != apply(sK2,apply(identity_relation(sK1),sK0))
| ~ function(sK2)
| ~ relation(sK2)
| ~ relation(identity_relation(sK1))
| ~ function(identity_relation(sK1)) ),
inference(superposition,[],[f134,f189]) ).
fof(f189,plain,
! [X2,X0,X1] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X2)
| ~ in(X0,relation_dom(X1))
| ~ function(X2) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ function(X2) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X2] :
( ~ relation(X2)
| apply(X2,apply(X0,X1)) = apply(relation_composition(X0,X2),X1)
| ~ in(X1,relation_dom(X0))
| ~ function(X2) ) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( apply(X2,apply(X0,X1)) = apply(relation_composition(X0,X2),X1)
| ~ in(X1,relation_dom(X0))
| ~ function(X2)
| ~ relation(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(X0))
=> apply(X2,apply(X0,X1)) = apply(relation_composition(X0,X2),X1) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f134,plain,
apply(sK2,sK0) != apply(relation_composition(identity_relation(sK1),sK2),sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f307,plain,
~ spl14_4,
inference(avatar_contradiction_clause,[],[f304]) ).
fof(f304,plain,
( $false
| ~ spl14_4 ),
inference(resolution,[],[f292,f283]) ).
fof(f283,plain,
~ empty(sK1),
inference(resolution,[],[f276,f182]) ).
fof(f182,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f276,plain,
in(sK0,sK1),
inference(resolution,[],[f199,f230]) ).
fof(f230,plain,
in(sK0,set_intersection2(sK1,relation_dom(sK2))),
inference(backward_demodulation,[],[f136,f173]) ).
fof(f173,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f136,plain,
in(sK0,set_intersection2(relation_dom(sK2),sK1)),
inference(cnf_transformation,[],[f92]) ).
fof(f199,plain,
! [X2,X3,X1] :
( ~ in(X3,set_intersection2(X1,X2))
| in(X3,X1) ),
inference(equality_resolution,[],[f166]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| set_intersection2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( ( in(X3,X2)
& in(X3,X1) )
| ~ in(X3,X0) ) )
| set_intersection2(X1,X2) != X0 )
& ( set_intersection2(X1,X2) = X0
| ( ( ~ in(sK8(X0,X1,X2),X2)
| ~ in(sK8(X0,X1,X2),X1)
| ~ in(sK8(X0,X1,X2),X0) )
& ( ( in(sK8(X0,X1,X2),X2)
& in(sK8(X0,X1,X2),X1) )
| in(sK8(X0,X1,X2),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f109,f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X2)
& in(X4,X1) )
| in(X4,X0) ) )
=> ( ( ~ in(sK8(X0,X1,X2),X2)
| ~ in(sK8(X0,X1,X2),X1)
| ~ in(sK8(X0,X1,X2),X0) )
& ( ( in(sK8(X0,X1,X2),X2)
& in(sK8(X0,X1,X2),X1) )
| in(sK8(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( ( in(X3,X2)
& in(X3,X1) )
| ~ in(X3,X0) ) )
| set_intersection2(X1,X2) != X0 )
& ( set_intersection2(X1,X2) = X0
| ? [X4] :
( ( ~ in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X2)
& in(X4,X1) )
| in(X4,X0) ) ) ) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( ( in(X3,X2)
& in(X3,X1) )
| ~ in(X3,X0) ) )
| set_intersection2(X1,X2) != X0 )
& ( set_intersection2(X1,X2) = X0
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X2)
& in(X3,X1) )
| in(X3,X0) ) ) ) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( ( in(X3,X2)
& in(X3,X1) )
| ~ in(X3,X0) ) )
| set_intersection2(X1,X2) != X0 )
& ( set_intersection2(X1,X2) = X0
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X2)
& in(X3,X1) )
| in(X3,X0) ) ) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ! [X3] :
( in(X3,X0)
<=> ( in(X3,X2)
& in(X3,X1) ) )
<=> set_intersection2(X1,X2) = X0 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) )
<=> set_intersection2(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f292,plain,
( empty(sK1)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl14_4
<=> empty(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f293,plain,
( spl14_3
| spl14_4 ),
inference(avatar_split_clause,[],[f284,f290,f286]) ).
fof(f284,plain,
( empty(sK1)
| in(sK0,sK1) ),
inference(resolution,[],[f282,f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f282,plain,
element(sK0,sK1),
inference(resolution,[],[f276,f151]) ).
fof(f151,plain,
! [X0,X1] :
( ~ in(X1,X0)
| element(X1,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ in(X1,X0)
| element(X1,X0) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X1,X0] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU008+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:36:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (9848)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)
% 0.19/0.47 % (9840)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.49 % (9865)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)
% 0.19/0.49 % (9857)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (9842)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)
% 0.19/0.50 % (9857)Instruction limit reached!
% 0.19/0.50 % (9857)------------------------------
% 0.19/0.50 % (9857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (9857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9857)Termination reason: Unknown
% 0.19/0.50 % (9857)Termination phase: Finite model building preprocessing
% 0.19/0.50
% 0.19/0.50 % (9857)Memory used [KB]: 1535
% 0.19/0.50 % (9857)Time elapsed: 0.004 s
% 0.19/0.50 % (9857)Instructions burned: 4 (million)
% 0.19/0.50 % (9857)------------------------------
% 0.19/0.50 % (9857)------------------------------
% 0.19/0.51 % (9853)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)
% 0.19/0.51 % (9863)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)
% 0.19/0.51 % (9842)Instruction limit reached!
% 0.19/0.51 % (9842)------------------------------
% 0.19/0.51 % (9842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9842)Termination reason: Unknown
% 0.19/0.51 % (9842)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (9842)Memory used [KB]: 6012
% 0.19/0.51 % (9842)Time elapsed: 0.108 s
% 0.19/0.51 % (9842)Instructions burned: 4 (million)
% 0.19/0.51 % (9842)------------------------------
% 0.19/0.51 % (9842)------------------------------
% 0.19/0.52 % (9843)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)
% 0.19/0.52 % (9861)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)
% 0.19/0.52 % (9862)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)
% 0.19/0.52 % (9859)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)
% 0.19/0.52 % (9841)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)
% 0.19/0.52 % (9848)Instruction limit reached!
% 0.19/0.52 % (9848)------------------------------
% 0.19/0.52 % (9848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9848)Termination reason: Unknown
% 0.19/0.52 % (9848)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (9848)Memory used [KB]: 6652
% 0.19/0.52 % (9848)Time elapsed: 0.127 s
% 0.19/0.52 % (9848)Instructions burned: 51 (million)
% 0.19/0.52 % (9848)------------------------------
% 0.19/0.52 % (9848)------------------------------
% 0.19/0.52 % (9846)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)
% 0.19/0.52 % (9844)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)
% 0.19/0.53 % (9868)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)
% 0.19/0.53 % (9860)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)
% 0.19/0.53 % (9867)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)
% 0.19/0.53 % (9844)Instruction limit reached!
% 0.19/0.53 % (9844)------------------------------
% 0.19/0.53 % (9844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9855)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)
% 0.19/0.53 % (9864)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)
% 0.19/0.53 % (9858)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)
% 0.19/0.53 % (9845)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)
% 0.19/0.53 % (9858)Instruction limit reached!
% 0.19/0.53 % (9858)------------------------------
% 0.19/0.53 % (9858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9858)Termination reason: Unknown
% 0.19/0.53 % (9858)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (9858)Memory used [KB]: 1407
% 0.19/0.53 % (9858)Time elapsed: 0.002 s
% 0.19/0.53 % (9858)Instructions burned: 2 (million)
% 0.19/0.53 % (9858)------------------------------
% 0.19/0.53 % (9858)------------------------------
% 0.19/0.53 % (9854)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)
% 0.19/0.53 % (9854)Instruction limit reached!
% 0.19/0.53 % (9854)------------------------------
% 0.19/0.53 % (9854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9854)Termination reason: Unknown
% 0.19/0.53 % (9854)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (9854)Memory used [KB]: 6012
% 0.19/0.53 % (9854)Time elapsed: 0.003 s
% 0.19/0.53 % (9854)Instructions burned: 3 (million)
% 0.19/0.53 % (9854)------------------------------
% 0.19/0.53 % (9854)------------------------------
% 0.19/0.54 % (9852)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)
% 0.19/0.54 % (9851)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)
% 0.19/0.54 % (9856)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)
% 0.19/0.54 % (9866)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)
% 0.19/0.54 % (9862)First to succeed.
% 0.19/0.54 % (9844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9844)Termination reason: Unknown
% 0.19/0.54 % (9844)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (9844)Memory used [KB]: 6140
% 0.19/0.54 % (9844)Time elapsed: 0.123 s
% 0.19/0.54 % (9844)Instructions burned: 13 (million)
% 0.19/0.54 % (9844)------------------------------
% 0.19/0.54 % (9844)------------------------------
% 0.19/0.54 % (9869)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)
% 0.19/0.55 % (9847)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)
% 0.19/0.55 % (9855)Instruction limit reached!
% 0.19/0.55 % (9855)------------------------------
% 0.19/0.55 % (9855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (9850)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)
% 0.19/0.55 % (9859)Instruction limit reached!
% 0.19/0.55 % (9859)------------------------------
% 0.19/0.55 % (9859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (9862)Refutation found. Thanks to Tanya!
% 1.56/0.55 % SZS status Theorem for theBenchmark
% 1.56/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.55 % (9862)------------------------------
% 1.56/0.55 % (9862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (9862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (9862)Termination reason: Refutation
% 1.56/0.55
% 1.56/0.55 % (9862)Memory used [KB]: 6140
% 1.56/0.55 % (9862)Time elapsed: 0.146 s
% 1.56/0.55 % (9862)Instructions burned: 10 (million)
% 1.56/0.55 % (9862)------------------------------
% 1.56/0.55 % (9862)------------------------------
% 1.56/0.55 % (9839)Success in time 0.204 s
%------------------------------------------------------------------------------