TSTP Solution File: SEU012+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU012+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 : n010.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 18:26:20 EDT 2022
% Result : Theorem 1.45s 0.55s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 90 ( 14 unt; 0 def)
% Number of atoms : 407 ( 134 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 509 ( 192 ~; 189 |; 91 &)
% ( 19 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 126 ( 100 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f442,plain,
$false,
inference(avatar_sat_refutation,[],[f295,f297,f316,f324,f348,f369,f371,f380,f402,f405,f432]) ).
fof(f432,plain,
( ~ spl15_10
| ~ spl15_11
| spl15_13 ),
inference(avatar_split_clause,[],[f415,f345,f328,f313]) ).
fof(f313,plain,
( spl15_10
<=> in(sK3(sK2,relation_rng(sK1)),relation_rng(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f328,plain,
( spl15_11
<=> ! [X0] :
( apply(sK2,X0) = X0
| ~ in(X0,relation_rng(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f345,plain,
( spl15_13
<=> sK3(sK2,relation_rng(sK1)) = apply(sK2,sK3(sK2,relation_rng(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f415,plain,
( ~ in(sK3(sK2,relation_rng(sK1)),relation_rng(sK1))
| ~ spl15_11
| spl15_13 ),
inference(trivial_inequality_removal,[],[f410]) ).
fof(f410,plain,
( ~ in(sK3(sK2,relation_rng(sK1)),relation_rng(sK1))
| sK3(sK2,relation_rng(sK1)) != sK3(sK2,relation_rng(sK1))
| ~ spl15_11
| spl15_13 ),
inference(superposition,[],[f347,f329]) ).
fof(f329,plain,
( ! [X0] :
( apply(sK2,X0) = X0
| ~ in(X0,relation_rng(sK1)) )
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f347,plain,
( sK3(sK2,relation_rng(sK1)) != apply(sK2,sK3(sK2,relation_rng(sK1)))
| spl15_13 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f405,plain,
( ~ spl15_15
| spl15_11
| ~ spl15_6
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f404,f400,f263,f328,f366]) ).
fof(f366,plain,
( spl15_15
<=> function(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f263,plain,
( spl15_6
<=> relation(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f400,plain,
( spl15_19
<=> ! [X0] :
( apply(sK2,X0) = X0
| ~ in(sK12(sK1,X0),relation_dom(sK1))
| ~ in(X0,relation_rng(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f404,plain,
( ! [X0] :
( ~ relation(sK1)
| ~ in(X0,relation_rng(sK1))
| ~ function(sK1)
| apply(sK2,X0) = X0 )
| ~ spl15_19 ),
inference(duplicate_literal_removal,[],[f403]) ).
fof(f403,plain,
( ! [X0] :
( ~ in(X0,relation_rng(sK1))
| ~ in(X0,relation_rng(sK1))
| ~ relation(sK1)
| ~ function(sK1)
| apply(sK2,X0) = X0 )
| ~ spl15_19 ),
inference(resolution,[],[f401,f200]) ).
fof(f200,plain,
! [X0,X5] :
( in(sK12(X0,X5),relation_dom(X0))
| ~ function(X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| ~ function(X0)
| in(sK12(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ~ in(sK10(X0,X1),X1)
| ! [X3] :
( apply(X0,X3) != sK10(X0,X1)
| ~ in(X3,relation_dom(X0)) ) )
& ( in(sK10(X0,X1),X1)
| ( apply(X0,sK11(X0,X1)) = sK10(X0,X1)
& in(sK11(X0,X1),relation_dom(X0)) ) ) ) )
& ( ! [X5] :
( ( ( apply(X0,sK12(X0,X5)) = X5
& in(sK12(X0,X5),relation_dom(X0)) )
| ~ in(X5,X1) )
& ( in(X5,X1)
| ! [X7] :
( apply(X0,X7) != X5
| ~ in(X7,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f119,f122,f121,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( in(X2,X1)
| ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) ) ) )
=> ( ( ~ in(sK10(X0,X1),X1)
| ! [X3] :
( apply(X0,X3) != sK10(X0,X1)
| ~ in(X3,relation_dom(X0)) ) )
& ( in(sK10(X0,X1),X1)
| ? [X4] :
( apply(X0,X4) = sK10(X0,X1)
& in(X4,relation_dom(X0)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0,X1] :
( ? [X4] :
( apply(X0,X4) = sK10(X0,X1)
& in(X4,relation_dom(X0)) )
=> ( apply(X0,sK11(X0,X1)) = sK10(X0,X1)
& in(sK11(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0,X5] :
( ? [X6] :
( apply(X0,X6) = X5
& in(X6,relation_dom(X0)) )
=> ( apply(X0,sK12(X0,X5)) = X5
& in(sK12(X0,X5),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( in(X2,X1)
| ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) ) ) ) )
& ( ! [X5] :
( ( ? [X6] :
( apply(X0,X6) = X5
& in(X6,relation_dom(X0)) )
| ~ in(X5,X1) )
& ( in(X5,X1)
| ! [X7] :
( apply(X0,X7) != X5
| ~ in(X7,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 ) ) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( in(X2,X1)
| ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) ) )
& ( ! [X2] :
( ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) ) ) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f401,plain,
( ! [X0] :
( ~ in(sK12(sK1,X0),relation_dom(sK1))
| apply(sK2,X0) = X0
| ~ in(X0,relation_rng(sK1)) )
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( ~ spl15_15
| spl15_19
| ~ spl15_6
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f381,f363,f263,f400,f366]) ).
fof(f363,plain,
( spl15_14
<=> ! [X0] :
( ~ in(X0,relation_dom(sK1))
| apply(sK2,apply(sK1,X0)) = apply(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f381,plain,
( ! [X0] :
( ~ relation(sK1)
| apply(sK2,X0) = X0
| ~ function(sK1)
| ~ in(X0,relation_rng(sK1))
| ~ in(sK12(sK1,X0),relation_dom(sK1)) )
| ~ spl15_14 ),
inference(superposition,[],[f364,f199]) ).
fof(f199,plain,
! [X0,X5] :
( apply(X0,sK12(X0,X5)) = X5
| ~ function(X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| ~ function(X0)
| apply(X0,sK12(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f364,plain,
( ! [X0] :
( apply(sK2,apply(sK1,X0)) = apply(sK1,X0)
| ~ in(X0,relation_dom(sK1)) )
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f380,plain,
spl15_15,
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| spl15_15 ),
inference(resolution,[],[f368,f142]) ).
fof(f142,plain,
function(sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( function(sK1)
& relation(sK1)
& relation(sK2)
& identity_relation(relation_dom(sK2)) != sK2
& sK1 = relation_composition(sK1,sK2)
& relation_dom(sK2) = relation_rng(sK1)
& function(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f63,f93,f92]) ).
fof(f92,plain,
( ? [X0] :
( function(X0)
& relation(X0)
& ? [X1] :
( relation(X1)
& identity_relation(relation_dom(X1)) != X1
& relation_composition(X0,X1) = X0
& relation_rng(X0) = relation_dom(X1)
& function(X1) ) )
=> ( function(sK1)
& relation(sK1)
& ? [X1] :
( relation(X1)
& identity_relation(relation_dom(X1)) != X1
& sK1 = relation_composition(sK1,X1)
& relation_dom(X1) = relation_rng(sK1)
& function(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ? [X1] :
( relation(X1)
& identity_relation(relation_dom(X1)) != X1
& sK1 = relation_composition(sK1,X1)
& relation_dom(X1) = relation_rng(sK1)
& function(X1) )
=> ( relation(sK2)
& identity_relation(relation_dom(sK2)) != sK2
& sK1 = relation_composition(sK1,sK2)
& relation_dom(sK2) = relation_rng(sK1)
& function(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0] :
( function(X0)
& relation(X0)
& ? [X1] :
( relation(X1)
& identity_relation(relation_dom(X1)) != X1
& relation_composition(X0,X1) = X0
& relation_rng(X0) = relation_dom(X1)
& function(X1) ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( identity_relation(relation_dom(X1)) != X1
& relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = X0
& relation(X1)
& function(X1) )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = X0 )
=> identity_relation(relation_dom(X1)) = X1 ) ) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = X0 )
=> identity_relation(relation_dom(X1)) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_funct_1) ).
fof(f368,plain,
( ~ function(sK1)
| spl15_15 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f371,plain,
spl15_6,
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f370,plain,
( $false
| spl15_6 ),
inference(resolution,[],[f265,f141]) ).
fof(f141,plain,
relation(sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f265,plain,
( ~ relation(sK1)
| spl15_6 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f369,plain,
( ~ spl15_7
| ~ spl15_6
| ~ spl15_4
| spl15_14
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f355,f366,f363,f248,f263,f287]) ).
fof(f287,plain,
( spl15_7
<=> function(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f248,plain,
( spl15_4
<=> relation(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f355,plain,
! [X0] :
( ~ function(sK1)
| ~ in(X0,relation_dom(sK1))
| apply(sK2,apply(sK1,X0)) = apply(sK1,X0)
| ~ relation(sK2)
| ~ relation(sK1)
| ~ function(sK2) ),
inference(superposition,[],[f172,f138]) ).
fof(f138,plain,
sK1 = relation_composition(sK1,sK2),
inference(cnf_transformation,[],[f94]) ).
fof(f172,plain,
! [X2,X0,X1] :
( apply(relation_composition(X0,X2),X1) = apply(X2,apply(X0,X1))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X0)
| ~ in(X1,relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ~ in(X1,relation_dom(X0))
| ~ relation(X2)
| ~ function(X2)
| apply(relation_composition(X0,X2),X1) = apply(X2,apply(X0,X1)) )
| ~ relation(X0) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ~ function(X1)
| ! [X2] :
( ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ function(X2)
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) )
| ~ relation(X1) ),
inference(flattening,[],[f67]) ).
fof(f67,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,[],[f30]) ).
fof(f30,axiom,
! [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(f348,plain,
( spl15_9
| ~ spl15_7
| ~ spl15_13
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f339,f248,f345,f287,f309]) ).
fof(f309,plain,
( spl15_9
<=> sK2 = identity_relation(relation_rng(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f339,plain,
( ~ relation(sK2)
| sK3(sK2,relation_rng(sK1)) != apply(sK2,sK3(sK2,relation_rng(sK1)))
| ~ function(sK2)
| sK2 = identity_relation(relation_rng(sK1)) ),
inference(superposition,[],[f197,f137]) ).
fof(f137,plain,
relation_dom(sK2) = relation_rng(sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f197,plain,
! [X0] :
( sK3(X0,relation_dom(X0)) != apply(X0,sK3(X0,relation_dom(X0)))
| ~ function(X0)
| identity_relation(relation_dom(X0)) = X0
| ~ relation(X0) ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( identity_relation(X1) = X0
| relation_dom(X0) != X1
| sK3(X0,X1) != apply(X0,sK3(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( ( ( relation_dom(X0) = X1
& ! [X2] :
( apply(X0,X2) = X2
| ~ in(X2,X1) ) )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ( sK3(X0,X1) != apply(X0,sK3(X0,X1))
& in(sK3(X0,X1),X1) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f98,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X3] :
( apply(X0,X3) != X3
& in(X3,X1) )
=> ( sK3(X0,X1) != apply(X0,sK3(X0,X1))
& in(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1] :
( ( ( ( relation_dom(X0) = X1
& ! [X2] :
( apply(X0,X2) = X2
| ~ in(X2,X1) ) )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ? [X3] :
( apply(X0,X3) != X3
& in(X3,X1) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X1,X0] :
( ( ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 )
& ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X1,X0] :
( ( ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 )
& ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X1,X0] :
( ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
<=> identity_relation(X0) = X1 )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
<=> identity_relation(X0) = X1 )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,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(f324,plain,
~ spl15_9,
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f323,plain,
( $false
| ~ spl15_9 ),
inference(trivial_inequality_removal,[],[f317]) ).
fof(f317,plain,
( sK2 != sK2
| ~ spl15_9 ),
inference(superposition,[],[f203,f311]) ).
fof(f311,plain,
( sK2 = identity_relation(relation_rng(sK1))
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f203,plain,
sK2 != identity_relation(relation_rng(sK1)),
inference(forward_demodulation,[],[f139,f137]) ).
fof(f139,plain,
identity_relation(relation_dom(sK2)) != sK2,
inference(cnf_transformation,[],[f94]) ).
fof(f316,plain,
( spl15_9
| ~ spl15_4
| ~ spl15_7
| spl15_10 ),
inference(avatar_split_clause,[],[f306,f313,f287,f248,f309]) ).
fof(f306,plain,
( in(sK3(sK2,relation_rng(sK1)),relation_rng(sK1))
| ~ function(sK2)
| ~ relation(sK2)
| sK2 = identity_relation(relation_rng(sK1)) ),
inference(superposition,[],[f198,f137]) ).
fof(f198,plain,
! [X0] :
( in(sK3(X0,relation_dom(X0)),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| identity_relation(relation_dom(X0)) = X0 ),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( identity_relation(X1) = X0
| relation_dom(X0) != X1
| in(sK3(X0,X1),X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f297,plain,
spl15_7,
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f296,plain,
( $false
| spl15_7 ),
inference(resolution,[],[f289,f136]) ).
fof(f136,plain,
function(sK2),
inference(cnf_transformation,[],[f94]) ).
fof(f289,plain,
( ~ function(sK2)
| spl15_7 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f295,plain,
spl15_4,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| spl15_4 ),
inference(resolution,[],[f250,f140]) ).
fof(f140,plain,
relation(sK2),
inference(cnf_transformation,[],[f94]) ).
fof(f250,plain,
( ~ relation(sK2)
| spl15_4 ),
inference(avatar_component_clause,[],[f248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU012+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.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 14:27:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (20743)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 % (20751)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.52 % (20734)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.33/0.52 % (20740)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)
% 1.33/0.53 % (20731)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.33/0.53 % (20735)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.33/0.53 % (20733)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.53 % (20759)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)
% 1.33/0.53 % (20742)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)
% 1.33/0.53 % (20752)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)
% 1.45/0.53 % (20747)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.45/0.53 % (20757)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.45/0.54 % (20744)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)
% 1.45/0.54 % (20730)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.45/0.54 % (20756)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)
% 1.45/0.54 % (20738)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)
% 1.45/0.54 % (20746)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.54 % (20749)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.45/0.54 % (20732)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)
% 1.45/0.54 % (20758)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)
% 1.45/0.54 % (20732)Instruction limit reached!
% 1.45/0.54 % (20732)------------------------------
% 1.45/0.54 % (20732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (20732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (20732)Termination reason: Unknown
% 1.45/0.54 % (20732)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (20732)Memory used [KB]: 1535
% 1.45/0.54 % (20732)Time elapsed: 0.004 s
% 1.45/0.54 % (20732)Instructions burned: 3 (million)
% 1.45/0.54 % (20732)------------------------------
% 1.45/0.54 % (20732)------------------------------
% 1.45/0.54 % (20736)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.45/0.55 % (20736)Refutation not found, incomplete strategy% (20736)------------------------------
% 1.45/0.55 % (20736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (20736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (20736)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55
% 1.45/0.55 % (20736)Memory used [KB]: 6012
% 1.45/0.55 % (20736)Time elapsed: 0.114 s
% 1.45/0.55 % (20736)Instructions burned: 3 (million)
% 1.45/0.55 % (20736)------------------------------
% 1.45/0.55 % (20736)------------------------------
% 1.45/0.55 % (20739)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)
% 1.45/0.55 % (20748)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)
% 1.45/0.55 % (20741)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)
% 1.45/0.55 % (20748)Instruction limit reached!
% 1.45/0.55 % (20748)------------------------------
% 1.45/0.55 % (20748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (20748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (20748)Termination reason: Unknown
% 1.45/0.55 % (20748)Termination phase: Preprocessing 1
% 1.45/0.55
% 1.45/0.55 % (20734)Instruction limit reached!
% 1.45/0.55 % (20734)------------------------------
% 1.45/0.55 % (20734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (20734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (20734)Termination reason: Unknown
% 1.45/0.55 % (20734)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (20734)Memory used [KB]: 6140
% 1.45/0.55 % (20734)Time elapsed: 0.149 s
% 1.45/0.55 % (20734)Instructions burned: 14 (million)
% 1.45/0.55 % (20734)------------------------------
% 1.45/0.55 % (20734)------------------------------
% 1.45/0.55 % (20748)Memory used [KB]: 1407
% 1.45/0.55 % (20748)Time elapsed: 0.002 s
% 1.45/0.55 % (20748)Instructions burned: 2 (million)
% 1.45/0.55 % (20748)------------------------------
% 1.45/0.55 % (20748)------------------------------
% 1.45/0.55 % (20750)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)
% 1.45/0.55 % (20747)Instruction limit reached!
% 1.45/0.55 % (20747)------------------------------
% 1.45/0.55 % (20747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (20747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (20747)Termination reason: Unknown
% 1.45/0.55 % (20747)Termination phase: Finite model building preprocessing
% 1.45/0.55
% 1.45/0.55 % (20747)Memory used [KB]: 1535
% 1.45/0.55 % (20747)Time elapsed: 0.003 s
% 1.45/0.55 % (20747)Instructions burned: 3 (million)
% 1.45/0.55 % (20747)------------------------------
% 1.45/0.55 % (20747)------------------------------
% 1.45/0.55 % (20754)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)
% 1.45/0.55 % (20752)First to succeed.
% 1.45/0.55 % (20740)Instruction limit reached!
% 1.45/0.55 % (20740)------------------------------
% 1.45/0.55 % (20740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (20740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (20740)Termination reason: Unknown
% 1.45/0.55 % (20740)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (20740)Memory used [KB]: 6268
% 1.45/0.55 % (20740)Time elapsed: 0.137 s
% 1.45/0.55 % (20740)Instructions burned: 13 (million)
% 1.45/0.55 % (20740)------------------------------
% 1.45/0.55 % (20740)------------------------------
% 1.45/0.55 % (20752)Refutation found. Thanks to Tanya!
% 1.45/0.55 % SZS status Theorem for theBenchmark
% 1.45/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.55 % (20752)------------------------------
% 1.45/0.55 % (20752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (20752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (20752)Termination reason: Refutation
% 1.45/0.55
% 1.45/0.55 % (20752)Memory used [KB]: 6140
% 1.45/0.55 % (20752)Time elapsed: 0.105 s
% 1.45/0.55 % (20752)Instructions burned: 10 (million)
% 1.45/0.55 % (20752)------------------------------
% 1.45/0.55 % (20752)------------------------------
% 1.45/0.55 % (20729)Success in time 0.201 s
%------------------------------------------------------------------------------