TSTP Solution File: SEU242+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU242+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 : Sun May 5 09:21:26 EDT 2024
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 87 ( 2 unt; 0 def)
% Number of atoms : 431 ( 44 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 567 ( 223 ~; 240 |; 81 &)
% ( 15 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 103 ( 80 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,plain,
$false,
inference(avatar_sat_refutation,[],[f88,f93,f98,f103,f108,f112,f165,f168,f187,f195]) ).
fof(f195,plain,
( spl7_1
| ~ spl7_11 ),
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| spl7_1
| ~ spl7_11 ),
inference(subsumption_resolution,[],[f193,f59]) ).
fof(f59,plain,
relation(sK0),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( ( ~ in(ordered_pair(sK2,sK1),sK0)
& ~ in(ordered_pair(sK1,sK2),sK0)
& sK1 != sK2
& in(sK2,relation_field(sK0))
& in(sK1,relation_field(sK0)) )
| ~ connected(sK0) )
& ( ! [X3,X4] :
( in(ordered_pair(X4,X3),sK0)
| in(ordered_pair(X3,X4),sK0)
| X3 = X4
| ~ in(X4,relation_field(sK0))
| ~ in(X3,relation_field(sK0)) )
| connected(sK0) )
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f46,f48,f47]) ).
fof(f47,plain,
( ? [X0] :
( ( ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
| ~ connected(X0) )
& ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X0)
| in(ordered_pair(X3,X4),X0)
| X3 = X4
| ~ in(X4,relation_field(X0))
| ~ in(X3,relation_field(X0)) )
| connected(X0) )
& relation(X0) )
=> ( ( ? [X2,X1] :
( ~ in(ordered_pair(X2,X1),sK0)
& ~ in(ordered_pair(X1,X2),sK0)
& X1 != X2
& in(X2,relation_field(sK0))
& in(X1,relation_field(sK0)) )
| ~ connected(sK0) )
& ( ! [X4,X3] :
( in(ordered_pair(X4,X3),sK0)
| in(ordered_pair(X3,X4),sK0)
| X3 = X4
| ~ in(X4,relation_field(sK0))
| ~ in(X3,relation_field(sK0)) )
| connected(sK0) )
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ? [X2,X1] :
( ~ in(ordered_pair(X2,X1),sK0)
& ~ in(ordered_pair(X1,X2),sK0)
& X1 != X2
& in(X2,relation_field(sK0))
& in(X1,relation_field(sK0)) )
=> ( ~ in(ordered_pair(sK2,sK1),sK0)
& ~ in(ordered_pair(sK1,sK2),sK0)
& sK1 != sK2
& in(sK2,relation_field(sK0))
& in(sK1,relation_field(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0] :
( ( ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
| ~ connected(X0) )
& ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X0)
| in(ordered_pair(X3,X4),X0)
| X3 = X4
| ~ in(X4,relation_field(X0))
| ~ in(X3,relation_field(X0)) )
| connected(X0) )
& relation(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
? [X0] :
( ( ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
| ~ connected(X0) )
& ( ! [X1,X2] :
( in(ordered_pair(X2,X1),X0)
| in(ordered_pair(X1,X2),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0)) )
| connected(X0) )
& relation(X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0] :
( ( ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
| ~ connected(X0) )
& ( ! [X1,X2] :
( in(ordered_pair(X2,X1),X0)
| in(ordered_pair(X1,X2),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0)) )
| connected(X0) )
& relation(X0) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
? [X0] :
( ( connected(X0)
<~> ! [X1,X2] :
( in(ordered_pair(X2,X1),X0)
| in(ordered_pair(X1,X2),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0)) ) )
& relation(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( connected(X0)
<=> ! [X1,X2] :
~ ( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) ) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> ! [X1,X2] :
~ ( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.p16Ijw5bZI/Vampire---4.8_5211',l4_wellord1) ).
fof(f193,plain,
( ~ relation(sK0)
| spl7_1
| ~ spl7_11 ),
inference(subsumption_resolution,[],[f189,f83]) ).
fof(f83,plain,
( ~ connected(sK0)
| spl7_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl7_1
<=> connected(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f189,plain,
( connected(sK0)
| ~ relation(sK0)
| ~ spl7_11 ),
inference(resolution,[],[f164,f71]) ).
fof(f71,plain,
! [X0] :
( ~ is_connected_in(X0,relation_field(X0))
| connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( ( connected(X0)
| ~ is_connected_in(X0,relation_field(X0)) )
& ( is_connected_in(X0,relation_field(X0))
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.p16Ijw5bZI/Vampire---4.8_5211',d14_relat_2) ).
fof(f164,plain,
( is_connected_in(sK0,relation_field(sK0))
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl7_11
<=> is_connected_in(sK0,relation_field(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f187,plain,
( ~ spl7_1
| spl7_2
| spl7_3
| spl7_4
| ~ spl7_5
| ~ spl7_6 ),
inference(avatar_split_clause,[],[f186,f105,f100,f95,f90,f85,f81]) ).
fof(f85,plain,
( spl7_2
<=> in(ordered_pair(sK2,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f90,plain,
( spl7_3
<=> in(ordered_pair(sK1,sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f95,plain,
( spl7_4
<=> sK1 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f100,plain,
( spl7_5
<=> in(sK2,relation_field(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f105,plain,
( spl7_6
<=> in(sK1,relation_field(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f186,plain,
( ~ connected(sK0)
| spl7_2
| spl7_3
| spl7_4
| ~ spl7_5
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f182,f59]) ).
fof(f182,plain,
( ~ connected(sK0)
| ~ relation(sK0)
| spl7_2
| spl7_3
| spl7_4
| ~ spl7_5
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f181,f102]) ).
fof(f102,plain,
( in(sK2,relation_field(sK0))
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f181,plain,
( ~ in(sK2,relation_field(sK0))
| ~ connected(sK0)
| ~ relation(sK0)
| spl7_2
| spl7_3
| spl7_4
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f180,f107]) ).
fof(f107,plain,
( in(sK1,relation_field(sK0))
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f180,plain,
( ~ in(sK1,relation_field(sK0))
| ~ in(sK2,relation_field(sK0))
| ~ connected(sK0)
| ~ relation(sK0)
| spl7_2
| spl7_3
| spl7_4 ),
inference(resolution,[],[f176,f70]) ).
fof(f70,plain,
! [X0] :
( is_connected_in(X0,relation_field(X0))
| ~ connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f176,plain,
( ! [X0] :
( ~ is_connected_in(sK0,X0)
| ~ in(sK1,X0)
| ~ in(sK2,X0) )
| spl7_2
| spl7_3
| spl7_4 ),
inference(subsumption_resolution,[],[f175,f59]) ).
fof(f175,plain,
( ! [X0] :
( ~ in(sK2,X0)
| ~ in(sK1,X0)
| ~ is_connected_in(sK0,X0)
| ~ relation(sK0) )
| spl7_2
| spl7_3
| spl7_4 ),
inference(subsumption_resolution,[],[f174,f97]) ).
fof(f97,plain,
( sK1 != sK2
| spl7_4 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f174,plain,
( ! [X0] :
( sK1 = sK2
| ~ in(sK2,X0)
| ~ in(sK1,X0)
| ~ is_connected_in(sK0,X0)
| ~ relation(sK0) )
| spl7_2
| spl7_3 ),
inference(subsumption_resolution,[],[f173,f92]) ).
fof(f92,plain,
( ~ in(ordered_pair(sK1,sK2),sK0)
| spl7_3 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f173,plain,
( ! [X0] :
( in(ordered_pair(sK1,sK2),sK0)
| sK1 = sK2
| ~ in(sK2,X0)
| ~ in(sK1,X0)
| ~ is_connected_in(sK0,X0)
| ~ relation(sK0) )
| spl7_2 ),
inference(resolution,[],[f87,f74]) ).
fof(f74,plain,
! [X0,X1,X4,X5] :
( in(ordered_pair(X5,X4),X0)
| in(ordered_pair(X4,X5),X0)
| X4 = X5
| ~ in(X5,X1)
| ~ in(X4,X1)
| ~ is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( is_connected_in(X0,X1)
| ( ~ in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
& ~ in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
& sK5(X0,X1) != sK6(X0,X1)
& in(sK6(X0,X1),X1)
& in(sK5(X0,X1),X1) ) )
& ( ! [X4,X5] :
( in(ordered_pair(X5,X4),X0)
| in(ordered_pair(X4,X5),X0)
| X4 = X5
| ~ in(X5,X1)
| ~ in(X4,X1) )
| ~ is_connected_in(X0,X1) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f56,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) )
=> ( ~ in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
& ~ in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
& sK5(X0,X1) != sK6(X0,X1)
& in(sK6(X0,X1),X1)
& in(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( is_connected_in(X0,X1)
| ? [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) ) )
& ( ! [X4,X5] :
( in(ordered_pair(X5,X4),X0)
| in(ordered_pair(X4,X5),X0)
| X4 = X5
| ~ in(X5,X1)
| ~ in(X4,X1) )
| ~ is_connected_in(X0,X1) ) )
| ~ relation(X0) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( is_connected_in(X0,X1)
| ? [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) ) )
& ( ! [X2,X3] :
( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X0)
| X2 = X3
| ~ in(X3,X1)
| ~ in(X2,X1) )
| ~ is_connected_in(X0,X1) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( is_connected_in(X0,X1)
<=> ! [X2,X3] :
( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X0)
| X2 = X3
| ~ in(X3,X1)
| ~ in(X2,X1) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_connected_in(X0,X1)
<=> ! [X2,X3] :
~ ( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.p16Ijw5bZI/Vampire---4.8_5211',d6_relat_2) ).
fof(f87,plain,
( ~ in(ordered_pair(sK2,sK1),sK0)
| spl7_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f168,plain,
( spl7_11
| spl7_10 ),
inference(avatar_split_clause,[],[f167,f158,f162]) ).
fof(f158,plain,
( spl7_10
<=> in(sK5(sK0,relation_field(sK0)),relation_field(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f167,plain,
( is_connected_in(sK0,relation_field(sK0))
| spl7_10 ),
inference(subsumption_resolution,[],[f166,f59]) ).
fof(f166,plain,
( is_connected_in(sK0,relation_field(sK0))
| ~ relation(sK0)
| spl7_10 ),
inference(resolution,[],[f160,f75]) ).
fof(f75,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f160,plain,
( ~ in(sK5(sK0,relation_field(sK0)),relation_field(sK0))
| spl7_10 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f165,plain,
( ~ spl7_10
| spl7_11
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f156,f110,f162,f158]) ).
fof(f110,plain,
( spl7_7
<=> ! [X4,X3] :
( in(ordered_pair(X4,X3),sK0)
| ~ in(X3,relation_field(sK0))
| ~ in(X4,relation_field(sK0))
| X3 = X4
| in(ordered_pair(X3,X4),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f156,plain,
( is_connected_in(sK0,relation_field(sK0))
| ~ in(sK5(sK0,relation_field(sK0)),relation_field(sK0))
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f155,f59]) ).
fof(f155,plain,
( is_connected_in(sK0,relation_field(sK0))
| ~ in(sK5(sK0,relation_field(sK0)),relation_field(sK0))
| ~ relation(sK0)
| ~ spl7_7 ),
inference(duplicate_literal_removal,[],[f152]) ).
fof(f152,plain,
( is_connected_in(sK0,relation_field(sK0))
| ~ in(sK5(sK0,relation_field(sK0)),relation_field(sK0))
| is_connected_in(sK0,relation_field(sK0))
| ~ relation(sK0)
| ~ spl7_7 ),
inference(resolution,[],[f151,f76]) ).
fof(f76,plain,
! [X0,X1] :
( in(sK6(X0,X1),X1)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f151,plain,
( ! [X0] :
( ~ in(sK6(sK0,X0),relation_field(sK0))
| is_connected_in(sK0,X0)
| ~ in(sK5(sK0,X0),relation_field(sK0)) )
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f149,f59]) ).
fof(f149,plain,
( ! [X0] :
( is_connected_in(sK0,X0)
| ~ relation(sK0)
| ~ in(sK6(sK0,X0),relation_field(sK0))
| ~ in(sK5(sK0,X0),relation_field(sK0)) )
| ~ spl7_7 ),
inference(trivial_inequality_removal,[],[f148]) ).
fof(f148,plain,
( ! [X0] :
( sK5(sK0,X0) != sK5(sK0,X0)
| is_connected_in(sK0,X0)
| ~ relation(sK0)
| ~ in(sK6(sK0,X0),relation_field(sK0))
| ~ in(sK5(sK0,X0),relation_field(sK0)) )
| ~ spl7_7 ),
inference(duplicate_literal_removal,[],[f143]) ).
fof(f143,plain,
( ! [X0] :
( sK5(sK0,X0) != sK5(sK0,X0)
| is_connected_in(sK0,X0)
| ~ relation(sK0)
| ~ in(sK6(sK0,X0),relation_field(sK0))
| ~ in(sK5(sK0,X0),relation_field(sK0))
| is_connected_in(sK0,X0) )
| ~ spl7_7 ),
inference(superposition,[],[f77,f140]) ).
fof(f140,plain,
( ! [X0] :
( sK5(sK0,X0) = sK6(sK0,X0)
| ~ in(sK6(sK0,X0),relation_field(sK0))
| ~ in(sK5(sK0,X0),relation_field(sK0))
| is_connected_in(sK0,X0) )
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f139,f59]) ).
fof(f139,plain,
( ! [X0] :
( ~ in(sK6(sK0,X0),relation_field(sK0))
| sK5(sK0,X0) = sK6(sK0,X0)
| ~ in(sK5(sK0,X0),relation_field(sK0))
| is_connected_in(sK0,X0)
| ~ relation(sK0) )
| ~ spl7_7 ),
inference(duplicate_literal_removal,[],[f136]) ).
fof(f136,plain,
( ! [X0] :
( ~ in(sK6(sK0,X0),relation_field(sK0))
| sK5(sK0,X0) = sK6(sK0,X0)
| ~ in(sK5(sK0,X0),relation_field(sK0))
| is_connected_in(sK0,X0)
| is_connected_in(sK0,X0)
| ~ relation(sK0) )
| ~ spl7_7 ),
inference(resolution,[],[f119,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f119,plain,
( ! [X0] :
( in(ordered_pair(sK5(sK0,X0),sK6(sK0,X0)),sK0)
| ~ in(sK6(sK0,X0),relation_field(sK0))
| sK5(sK0,X0) = sK6(sK0,X0)
| ~ in(sK5(sK0,X0),relation_field(sK0))
| is_connected_in(sK0,X0) )
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f113,f59]) ).
fof(f113,plain,
( ! [X0] :
( ~ in(sK5(sK0,X0),relation_field(sK0))
| ~ in(sK6(sK0,X0),relation_field(sK0))
| sK5(sK0,X0) = sK6(sK0,X0)
| in(ordered_pair(sK5(sK0,X0),sK6(sK0,X0)),sK0)
| is_connected_in(sK0,X0)
| ~ relation(sK0) )
| ~ spl7_7 ),
inference(resolution,[],[f111,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f111,plain,
( ! [X3,X4] :
( in(ordered_pair(X4,X3),sK0)
| ~ in(X3,relation_field(sK0))
| ~ in(X4,relation_field(sK0))
| X3 = X4
| in(ordered_pair(X3,X4),sK0) )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f77,plain,
! [X0,X1] :
( sK5(X0,X1) != sK6(X0,X1)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f112,plain,
( spl7_1
| spl7_7 ),
inference(avatar_split_clause,[],[f60,f110,f81]) ).
fof(f60,plain,
! [X3,X4] :
( in(ordered_pair(X4,X3),sK0)
| in(ordered_pair(X3,X4),sK0)
| X3 = X4
| ~ in(X4,relation_field(sK0))
| ~ in(X3,relation_field(sK0))
| connected(sK0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f108,plain,
( ~ spl7_1
| spl7_6 ),
inference(avatar_split_clause,[],[f61,f105,f81]) ).
fof(f61,plain,
( in(sK1,relation_field(sK0))
| ~ connected(sK0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f103,plain,
( ~ spl7_1
| spl7_5 ),
inference(avatar_split_clause,[],[f62,f100,f81]) ).
fof(f62,plain,
( in(sK2,relation_field(sK0))
| ~ connected(sK0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f98,plain,
( ~ spl7_1
| ~ spl7_4 ),
inference(avatar_split_clause,[],[f63,f95,f81]) ).
fof(f63,plain,
( sK1 != sK2
| ~ connected(sK0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f93,plain,
( ~ spl7_1
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f64,f90,f81]) ).
fof(f64,plain,
( ~ in(ordered_pair(sK1,sK2),sK0)
| ~ connected(sK0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f88,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f65,f85,f81]) ).
fof(f65,plain,
( ~ in(ordered_pair(sK2,sK1),sK0)
| ~ connected(sK0) ),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU242+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n006.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 11:23:49 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.p16Ijw5bZI/Vampire---4.8_5211
% 0.56/0.73 % (5327)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.74 % (5320)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (5322)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (5321)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.74 % (5324)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (5323)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.74 % (5325)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.74 % (5327)Refutation not found, incomplete strategy% (5327)------------------------------
% 0.56/0.74 % (5327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (5327)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (5327)Memory used [KB]: 1052
% 0.56/0.74 % (5327)Time elapsed: 0.002 s
% 0.56/0.74 % (5327)Instructions burned: 3 (million)
% 0.56/0.74 % (5326)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.74 % (5327)------------------------------
% 0.56/0.74 % (5327)------------------------------
% 0.56/0.74 % (5323)Refutation not found, incomplete strategy% (5323)------------------------------
% 0.56/0.74 % (5323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (5323)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (5323)Memory used [KB]: 1043
% 0.56/0.74 % (5323)Time elapsed: 0.003 s
% 0.56/0.74 % (5323)Instructions burned: 3 (million)
% 0.56/0.74 % (5323)------------------------------
% 0.56/0.74 % (5323)------------------------------
% 0.56/0.74 % (5328)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.74 % (5325)First to succeed.
% 0.56/0.74 % (5324)Also succeeded, but the first one will report.
% 0.56/0.74 % (5326)Also succeeded, but the first one will report.
% 0.56/0.74 % (5325)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5319"
% 0.56/0.74 % (5329)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.56/0.74 % (5325)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for Vampire---4
% 0.56/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74 % (5325)------------------------------
% 0.56/0.74 % (5325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (5325)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (5325)Memory used [KB]: 1087
% 0.56/0.74 % (5325)Time elapsed: 0.007 s
% 0.56/0.74 % (5325)Instructions burned: 9 (million)
% 0.56/0.74 % (5319)Success in time 0.385 s
% 0.56/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------