TSTP Solution File: SEU215+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU215+3 : 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 : n007.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 18:27:32 EDT 2022
% Result : Theorem 1.58s 0.55s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 101 ( 14 unt; 0 def)
% Number of atoms : 391 ( 43 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 465 ( 175 ~; 175 |; 71 &)
% ( 21 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 12 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 112 ( 101 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f429,plain,
$false,
inference(avatar_sat_refutation,[],[f276,f344,f350,f351,f353,f370,f372,f374,f383,f405,f412,f427]) ).
fof(f427,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f419,plain,
( $false
| ~ spl12_1 ),
inference(resolution,[],[f271,f202]) ).
fof(f202,plain,
~ empty(relation_dom(sK3)),
inference(resolution,[],[f144,f139]) ).
fof(f139,plain,
in(sK2,relation_dom(sK3)),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( function(sK3)
& relation(sK3)
& in(sK2,relation_dom(sK3))
& relation(sK4)
& function(sK4)
& apply(relation_composition(sK3,sK4),sK2) != apply(sK4,apply(sK3,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f70,f97,f96]) ).
fof(f96,plain,
( ? [X0,X1] :
( function(X1)
& relation(X1)
& ? [X2] :
( in(X0,relation_dom(X1))
& relation(X2)
& function(X2)
& apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0)) ) )
=> ( function(sK3)
& relation(sK3)
& ? [X2] :
( in(sK2,relation_dom(sK3))
& relation(X2)
& function(X2)
& apply(relation_composition(sK3,X2),sK2) != apply(X2,apply(sK3,sK2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X2] :
( in(sK2,relation_dom(sK3))
& relation(X2)
& function(X2)
& apply(relation_composition(sK3,X2),sK2) != apply(X2,apply(sK3,sK2)) )
=> ( in(sK2,relation_dom(sK3))
& relation(sK4)
& function(sK4)
& apply(relation_composition(sK3,sK4),sK2) != apply(sK4,apply(sK3,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ? [X2] :
( in(X0,relation_dom(X1))
& relation(X2)
& function(X2)
& apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0)) ) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
? [X1,X0] :
( ? [X2] :
( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
& in(X0,relation_dom(X1))
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X1,X0] :
( ( function(X1)
& relation(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(f144,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X1,X0] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X1,X0] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f271,plain,
( empty(relation_dom(sK3))
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl12_1
<=> empty(relation_dom(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f412,plain,
( ~ spl12_11
| ~ spl12_7
| ~ spl12_10
| spl12_5
| ~ spl12_8
| ~ spl12_2
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f406,f339,f273,f322,f306,f331,f318,f335]) ).
fof(f335,plain,
( spl12_11
<=> function(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f318,plain,
( spl12_7
<=> function(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f331,plain,
( spl12_10
<=> relation(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f306,plain,
( spl12_5
<=> in(sK2,relation_dom(relation_composition(sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f322,plain,
( spl12_8
<=> relation(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f273,plain,
( spl12_2
<=> in(sK2,relation_dom(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f339,plain,
( spl12_12
<=> in(apply(sK3,sK2),relation_dom(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f406,plain,
( ~ in(sK2,relation_dom(sK3))
| ~ relation(sK3)
| in(sK2,relation_dom(relation_composition(sK3,sK4)))
| ~ relation(sK4)
| ~ function(sK3)
| ~ function(sK4)
| ~ spl12_12 ),
inference(resolution,[],[f341,f171]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ in(apply(X2,X1),relation_dom(X0))
| ~ in(X1,relation_dom(X2))
| in(X1,relation_dom(relation_composition(X2,X0)))
| ~ function(X2)
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) )
| ~ in(X1,relation_dom(relation_composition(X2,X0))) )
& ( in(X1,relation_dom(relation_composition(X2,X0)))
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),relation_dom(X0)) ) ) )
| ~ function(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) )
| ~ in(X1,relation_dom(relation_composition(X2,X0))) )
& ( in(X1,relation_dom(relation_composition(X2,X0)))
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),relation_dom(X0)) ) ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) )
<=> in(X1,relation_dom(relation_composition(X2,X0))) ) )
| ~ function(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) )
<=> in(X1,relation_dom(relation_composition(X2,X0))) )
| ~ relation(X2)
| ~ function(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) )
<=> in(X1,relation_dom(relation_composition(X2,X0))) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f341,plain,
( in(apply(sK3,sK2),relation_dom(sK4))
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f405,plain,
( ~ spl12_11
| ~ spl12_8
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(avatar_split_clause,[],[f404,f331,f318,f306,f322,f335]) ).
fof(f404,plain,
( ~ relation(sK4)
| ~ function(sK3)
| ~ in(sK2,relation_dom(relation_composition(sK3,sK4)))
| ~ relation(sK3)
| ~ function(sK4) ),
inference(trivial_inequality_removal,[],[f397]) ).
fof(f397,plain,
( ~ function(sK4)
| ~ relation(sK3)
| ~ in(sK2,relation_dom(relation_composition(sK3,sK4)))
| apply(sK4,apply(sK3,sK2)) != apply(sK4,apply(sK3,sK2))
| ~ function(sK3)
| ~ relation(sK4) ),
inference(superposition,[],[f136,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ relation(X2)
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ function(X1)
| ! [X2] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2)
| apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X1,X0] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f136,plain,
apply(relation_composition(sK3,sK4),sK2) != apply(sK4,apply(sK3,sK2)),
inference(cnf_transformation,[],[f98]) ).
fof(f383,plain,
( ~ spl12_8
| ~ spl12_10
| spl12_4 ),
inference(avatar_split_clause,[],[f382,f302,f331,f322]) ).
fof(f302,plain,
( spl12_4
<=> relation(relation_composition(sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f382,plain,
( ~ relation(sK4)
| ~ relation(sK3)
| spl12_4 ),
inference(resolution,[],[f304,f123]) ).
fof(f123,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_composition(X1,X0))
| ~ relation(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ~ relation(X0)
| relation(relation_composition(X0,X1))
| ~ relation(X1) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f304,plain,
( ~ relation(relation_composition(sK3,sK4))
| spl12_4 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f374,plain,
spl12_8,
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| spl12_8 ),
inference(resolution,[],[f324,f140]) ).
fof(f140,plain,
relation(sK3),
inference(cnf_transformation,[],[f98]) ).
fof(f324,plain,
( ~ relation(sK3)
| spl12_8 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f372,plain,
spl12_7,
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f371,plain,
( $false
| spl12_7 ),
inference(resolution,[],[f320,f141]) ).
fof(f141,plain,
function(sK3),
inference(cnf_transformation,[],[f98]) ).
fof(f320,plain,
( ~ function(sK3)
| spl12_7 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f370,plain,
( ~ spl12_8
| ~ spl12_11
| ~ spl12_10
| ~ spl12_7
| spl12_6 ),
inference(avatar_split_clause,[],[f369,f310,f318,f331,f335,f322]) ).
fof(f310,plain,
( spl12_6
<=> function(relation_composition(sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f369,plain,
( ~ function(sK3)
| ~ relation(sK4)
| ~ function(sK4)
| ~ relation(sK3)
| spl12_6 ),
inference(resolution,[],[f312,f150]) ).
fof(f150,plain,
! [X0,X1] :
( function(relation_composition(X1,X0))
| ~ function(X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ function(X1)
| ~ function(X0)
| ~ relation(X1)
| ( function(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) )
| ~ relation(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ( function(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) )
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X0)
| ~ function(X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ( relation(X0)
& relation(X1)
& function(X0)
& function(X1) )
=> ( function(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1)
& function(X0)
& relation(X0) )
=> ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f312,plain,
( ~ function(relation_composition(sK3,sK4))
| spl12_6 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f353,plain,
spl12_11,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| spl12_11 ),
inference(resolution,[],[f337,f137]) ).
fof(f137,plain,
function(sK4),
inference(cnf_transformation,[],[f98]) ).
fof(f337,plain,
( ~ function(sK4)
| spl12_11 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f351,plain,
( spl12_5
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f345,f310,f302,f298,f306]) ).
fof(f298,plain,
( spl12_3
<=> empty_set = apply(sK4,apply(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f345,plain,
( ~ function(relation_composition(sK3,sK4))
| ~ relation(relation_composition(sK3,sK4))
| empty_set != apply(sK4,apply(sK3,sK2))
| in(sK2,relation_dom(relation_composition(sK3,sK4))) ),
inference(superposition,[],[f136,f188]) ).
fof(f188,plain,
! [X2,X0] :
( empty_set = apply(X0,X2)
| ~ function(X0)
| in(X2,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f165]) ).
fof(f165,plain,
! [X2,X0,X1] :
( apply(X0,X2) = X1
| empty_set != X1
| in(X2,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( empty_set = X1
| apply(X0,X2) != X1 )
& ( apply(X0,X2) = X1
| empty_set != X1 ) )
| in(X2,relation_dom(X0)) )
& ( ~ in(X2,relation_dom(X0))
| ( ( in(ordered_pair(X2,X1),X0)
| apply(X0,X2) != X1 )
& ( apply(X0,X2) = X1
| ~ in(ordered_pair(X2,X1),X0) ) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X2,X1] :
( ( ( ( empty_set = X2
| apply(X0,X1) != X2 )
& ( apply(X0,X1) = X2
| empty_set != X2 ) )
| in(X1,relation_dom(X0)) )
& ( ~ in(X1,relation_dom(X0))
| ( ( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2 )
& ( apply(X0,X1) = X2
| ~ in(ordered_pair(X1,X2),X0) ) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X2,X1] :
( ( ( empty_set = X2
<=> apply(X0,X1) = X2 )
| in(X1,relation_dom(X0)) )
& ( ~ in(X1,relation_dom(X0))
| ( in(ordered_pair(X1,X2),X0)
<=> apply(X0,X1) = X2 ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X2,X1] :
( ( ( empty_set = X2
<=> apply(X0,X1) = X2 )
| in(X1,relation_dom(X0)) )
& ( ~ in(X1,relation_dom(X0))
| ( in(ordered_pair(X1,X2),X0)
<=> apply(X0,X1) = X2 ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( ( ~ in(X1,relation_dom(X0))
=> ( empty_set = X2
<=> apply(X0,X1) = X2 ) )
& ( in(X1,relation_dom(X0))
=> ( in(ordered_pair(X1,X2),X0)
<=> apply(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f350,plain,
( ~ spl12_11
| spl12_12
| ~ spl12_10
| spl12_3 ),
inference(avatar_split_clause,[],[f348,f298,f331,f339,f335]) ).
fof(f348,plain,
( ~ relation(sK4)
| in(apply(sK3,sK2),relation_dom(sK4))
| ~ function(sK4)
| spl12_3 ),
inference(trivial_inequality_removal,[],[f347]) ).
fof(f347,plain,
( ~ function(sK4)
| empty_set != empty_set
| in(apply(sK3,sK2),relation_dom(sK4))
| ~ relation(sK4)
| spl12_3 ),
inference(superposition,[],[f300,f188]) ).
fof(f300,plain,
( empty_set != apply(sK4,apply(sK3,sK2))
| spl12_3 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f344,plain,
spl12_10,
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f343,plain,
( $false
| spl12_10 ),
inference(resolution,[],[f333,f138]) ).
fof(f138,plain,
relation(sK4),
inference(cnf_transformation,[],[f98]) ).
fof(f333,plain,
( ~ relation(sK4)
| spl12_10 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f276,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f266,f273,f269]) ).
fof(f266,plain,
( in(sK2,relation_dom(sK3))
| empty(relation_dom(sK3)) ),
inference(resolution,[],[f174,f217]) ).
fof(f217,plain,
element(sK2,relation_dom(sK3)),
inference(resolution,[],[f157,f139]) ).
fof(f157,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(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) ).
fof(f174,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU215+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:35:46 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.47 % (32676)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.47 % (32683)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.48 % (32683)Instruction limit reached!
% 0.21/0.48 % (32683)------------------------------
% 0.21/0.48 % (32683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (32698)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.49 % (32680)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.50 % (32696)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.50 % (32688)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.50 % (32690)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.50 % (32674)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.50 % (32683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (32683)Termination reason: Unknown
% 0.21/0.50 % (32683)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (32683)Memory used [KB]: 6268
% 0.21/0.50 % (32683)Time elapsed: 0.096 s
% 0.21/0.50 % (32683)Instructions burned: 13 (million)
% 0.21/0.50 % (32683)------------------------------
% 0.21/0.50 % (32683)------------------------------
% 0.21/0.50 % (32688)Instruction limit reached!
% 0.21/0.50 % (32688)------------------------------
% 0.21/0.50 % (32688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (32694)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (32690)Instruction limit reached!
% 0.21/0.51 % (32690)------------------------------
% 0.21/0.51 % (32690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (32690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (32690)Termination reason: Unknown
% 0.21/0.51 % (32690)Termination phase: Finite model building preprocessing
% 0.21/0.51
% 0.21/0.51 % (32690)Memory used [KB]: 1535
% 0.21/0.51 % (32690)Time elapsed: 0.003 s
% 0.21/0.51 % (32690)Instructions burned: 4 (million)
% 0.21/0.51 % (32690)------------------------------
% 0.21/0.51 % (32690)------------------------------
% 0.21/0.51 % (32674)Refutation not found, incomplete strategy% (32674)------------------------------
% 0.21/0.51 % (32674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (32674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (32674)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (32674)Memory used [KB]: 6012
% 0.21/0.51 % (32674)Time elapsed: 0.100 s
% 0.21/0.51 % (32674)Instructions burned: 3 (million)
% 0.21/0.51 % (32674)------------------------------
% 0.21/0.51 % (32674)------------------------------
% 0.21/0.51 % (32678)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.51 % (32686)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (32677)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.52 % (32688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (32688)Termination reason: Unknown
% 0.21/0.52 % (32688)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (32688)Memory used [KB]: 6012
% 0.21/0.52 % (32688)Time elapsed: 0.102 s
% 0.21/0.52 % (32688)Instructions burned: 7 (million)
% 0.21/0.52 % (32688)------------------------------
% 0.21/0.52 % (32688)------------------------------
% 0.21/0.52 % (32682)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)
% 1.40/0.53 % (32695)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)
% 1.40/0.53 % (32701)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)
% 1.40/0.53 % (32699)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)
% 1.40/0.53 % (32679)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)
% 1.40/0.53 % (32675)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)
% 1.40/0.53 % (32675)Instruction limit reached!
% 1.40/0.53 % (32675)------------------------------
% 1.40/0.53 % (32675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (32675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (32675)Termination reason: Unknown
% 1.40/0.53 % (32675)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (32675)Memory used [KB]: 1535
% 1.40/0.53 % (32675)Time elapsed: 0.003 s
% 1.40/0.53 % (32675)Instructions burned: 3 (million)
% 1.40/0.53 % (32675)------------------------------
% 1.40/0.53 % (32675)------------------------------
% 1.40/0.54 % (32680)Instruction limit reached!
% 1.40/0.54 % (32680)------------------------------
% 1.40/0.54 % (32680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (32680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (32680)Termination reason: Unknown
% 1.40/0.54 % (32680)Termination phase: Saturation
% 1.40/0.54
% 1.40/0.54 % (32680)Memory used [KB]: 6780
% 1.40/0.54 % (32680)Time elapsed: 0.136 s
% 1.40/0.54 % (32680)Instructions burned: 39 (million)
% 1.40/0.54 % (32680)------------------------------
% 1.40/0.54 % (32680)------------------------------
% 1.40/0.54 % (32687)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)
% 1.40/0.54 % (32691)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)
% 1.40/0.54 % (32687)Instruction limit reached!
% 1.40/0.54 % (32687)------------------------------
% 1.40/0.54 % (32687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (32687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (32687)Termination reason: Unknown
% 1.40/0.54 % (32687)Termination phase: Function definition elimination
% 1.40/0.54
% 1.40/0.54 % (32687)Memory used [KB]: 1407
% 1.40/0.54 % (32687)Time elapsed: 0.003 s
% 1.40/0.54 % (32687)Instructions burned: 3 (million)
% 1.40/0.54 % (32687)------------------------------
% 1.40/0.54 % (32687)------------------------------
% 1.40/0.54 % (32691)Instruction limit reached!
% 1.40/0.54 % (32691)------------------------------
% 1.40/0.54 % (32691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (32691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (32691)Termination reason: Unknown
% 1.40/0.54 % (32691)Termination phase: Saturation
% 1.40/0.54
% 1.40/0.54 % (32691)Memory used [KB]: 6012
% 1.40/0.54 % (32691)Time elapsed: 0.003 s
% 1.40/0.54 % (32691)Instructions burned: 3 (million)
% 1.40/0.54 % (32691)------------------------------
% 1.40/0.54 % (32691)------------------------------
% 1.40/0.54 % (32697)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)
% 1.40/0.54 % (32678)Instruction limit reached!
% 1.40/0.54 % (32678)------------------------------
% 1.40/0.54 % (32678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (32678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (32678)Termination reason: Unknown
% 1.40/0.54 % (32678)Termination phase: Saturation
% 1.40/0.54
% 1.40/0.54 % (32678)Memory used [KB]: 1663
% 1.40/0.54 % (32678)Time elapsed: 0.130 s
% 1.40/0.54 % (32678)Instructions burned: 15 (million)
% 1.40/0.54 % (32678)------------------------------
% 1.40/0.54 % (32678)------------------------------
% 1.40/0.54 % (32702)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)
% 1.40/0.54 % (32681)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)
% 1.40/0.54 % (32693)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)
% 1.40/0.54 % (32677)Instruction limit reached!
% 1.40/0.54 % (32677)------------------------------
% 1.40/0.54 % (32677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (32677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (32677)Termination reason: Unknown
% 1.40/0.54 % (32677)Termination phase: Saturation
% 1.40/0.54
% 1.40/0.54 % (32677)Memory used [KB]: 6140
% 1.40/0.54 % (32677)Time elapsed: 0.140 s
% 1.40/0.54 % (32677)Instructions burned: 14 (million)
% 1.40/0.54 % (32677)------------------------------
% 1.40/0.54 % (32677)------------------------------
% 1.40/0.55 % (32696)Instruction limit reached!
% 1.40/0.55 % (32696)------------------------------
% 1.40/0.55 % (32696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (32696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (32696)Termination reason: Unknown
% 1.40/0.55 % (32696)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (32696)Memory used [KB]: 2046
% 1.40/0.55 % (32696)Time elapsed: 0.141 s
% 1.40/0.55 % (32696)Instructions burned: 45 (million)
% 1.40/0.55 % (32696)------------------------------
% 1.40/0.55 % (32696)------------------------------
% 1.58/0.55 % (32684)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)
% 1.58/0.55 % (32695)First to succeed.
% 1.58/0.55 % (32685)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)
% 1.58/0.55 % (32695)Refutation found. Thanks to Tanya!
% 1.58/0.55 % SZS status Theorem for theBenchmark
% 1.58/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.55 % (32695)------------------------------
% 1.58/0.55 % (32695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55 % (32695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55 % (32695)Termination reason: Refutation
% 1.58/0.55
% 1.58/0.55 % (32695)Memory used [KB]: 6140
% 1.58/0.55 % (32695)Time elapsed: 0.103 s
% 1.58/0.55 % (32695)Instructions burned: 9 (million)
% 1.58/0.55 % (32695)------------------------------
% 1.58/0.55 % (32695)------------------------------
% 1.58/0.55 % (32672)Success in time 0.192 s
%------------------------------------------------------------------------------