TSTP Solution File: SEU014+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU014+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 : n022.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 18:26:21 EDT 2022
% Result : Theorem 1.53s 0.58s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 14
% Syntax : Number of formulae : 105 ( 16 unt; 0 def)
% Number of atoms : 412 ( 70 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 508 ( 201 ~; 193 |; 82 &)
% ( 9 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 103 ( 89 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f346,plain,
$false,
inference(avatar_sat_refutation,[],[f241,f266,f273,f328,f329,f345]) ).
fof(f345,plain,
~ spl13_11,
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f344,plain,
( $false
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f343,f142]) ).
fof(f142,plain,
relation(sK5),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( one_to_one(relation_composition(sK5,sK4))
& ~ one_to_one(sK5)
& subset(relation_rng(sK5),relation_dom(sK4))
& relation(sK5)
& function(sK5)
& function(sK4)
& relation(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f68,f100,f99]) ).
fof(f99,plain,
( ? [X0] :
( ? [X1] :
( one_to_one(relation_composition(X1,X0))
& ~ one_to_one(X1)
& subset(relation_rng(X1),relation_dom(X0))
& relation(X1)
& function(X1) )
& function(X0)
& relation(X0) )
=> ( ? [X1] :
( one_to_one(relation_composition(X1,sK4))
& ~ one_to_one(X1)
& subset(relation_rng(X1),relation_dom(sK4))
& relation(X1)
& function(X1) )
& function(sK4)
& relation(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ? [X1] :
( one_to_one(relation_composition(X1,sK4))
& ~ one_to_one(X1)
& subset(relation_rng(X1),relation_dom(sK4))
& relation(X1)
& function(X1) )
=> ( one_to_one(relation_composition(sK5,sK4))
& ~ one_to_one(sK5)
& subset(relation_rng(sK5),relation_dom(sK4))
& relation(sK5)
& function(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
? [X0] :
( ? [X1] :
( one_to_one(relation_composition(X1,X0))
& ~ one_to_one(X1)
& subset(relation_rng(X1),relation_dom(X0))
& relation(X1)
& function(X1) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ~ one_to_one(X1)
& subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0))
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0)) )
=> one_to_one(X1) ) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( subset(relation_rng(X1),relation_dom(X0))
& one_to_one(relation_composition(X1,X0)) )
=> one_to_one(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_funct_1) ).
fof(f343,plain,
( ~ relation(sK5)
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f342,f141]) ).
fof(f141,plain,
function(sK5),
inference(cnf_transformation,[],[f101]) ).
fof(f342,plain,
( ~ function(sK5)
| ~ relation(sK5)
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f341,f144]) ).
fof(f144,plain,
~ one_to_one(sK5),
inference(cnf_transformation,[],[f101]) ).
fof(f341,plain,
( one_to_one(sK5)
| ~ function(sK5)
| ~ relation(sK5)
| ~ spl13_11 ),
inference(trivial_inequality_removal,[],[f340]) ).
fof(f340,plain,
( sK0(sK5) != sK0(sK5)
| ~ function(sK5)
| one_to_one(sK5)
| ~ relation(sK5)
| ~ spl13_11 ),
inference(superposition,[],[f124,f317]) ).
fof(f317,plain,
( sK0(sK5) = sK1(sK5)
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f315,plain,
( spl13_11
<=> sK0(sK5) = sK1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f124,plain,
! [X0] :
( sK1(X0) != sK0(X0)
| ~ relation(X0)
| one_to_one(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( ( ! [X1,X2] :
( apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0))
| X1 = X2
| ~ in(X2,relation_dom(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ( apply(X0,sK0(X0)) = apply(X0,sK1(X0))
& in(sK0(X0),relation_dom(X0))
& sK1(X0) != sK0(X0)
& in(sK1(X0),relation_dom(X0)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f88,f89]) ).
fof(f89,plain,
! [X0] :
( ? [X3,X4] :
( apply(X0,X4) = apply(X0,X3)
& in(X3,relation_dom(X0))
& X3 != X4
& in(X4,relation_dom(X0)) )
=> ( apply(X0,sK0(X0)) = apply(X0,sK1(X0))
& in(sK0(X0),relation_dom(X0))
& sK1(X0) != sK0(X0)
& in(sK1(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( ( ! [X1,X2] :
( apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0))
| X1 = X2
| ~ in(X2,relation_dom(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X3,X4] :
( apply(X0,X4) = apply(X0,X3)
& in(X3,relation_dom(X0))
& X3 != X4
& in(X4,relation_dom(X0)) ) ) ) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( ( ! [X2,X1] :
( apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| X1 = X2
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X2,X1] :
( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& X1 != X2
& in(X1,relation_dom(X0)) ) ) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( ! [X2,X1] :
( apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| X1 = X2
| ~ in(X1,relation_dom(X0)) )
<=> one_to_one(X0) ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X2,X1] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
<=> ! [X2,X1] :
( ( in(X1,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0)) )
=> X1 = X2 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ! [X2,X1] :
( ( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 )
<=> one_to_one(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f329,plain,
( ~ spl13_10
| spl13_11
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f322,f231,f315,f311]) ).
fof(f311,plain,
( spl13_10
<=> apply(relation_composition(sK5,sK4),sK1(sK5)) = apply(relation_composition(sK5,sK4),sK0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f231,plain,
( spl13_3
<=> ! [X4,X3] :
( X3 = X4
| ~ in(X3,relation_dom(sK5))
| ~ in(X4,relation_dom(sK5))
| apply(relation_composition(sK5,sK4),X3) != apply(relation_composition(sK5,sK4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f322,plain,
( sK0(sK5) = sK1(sK5)
| apply(relation_composition(sK5,sK4),sK1(sK5)) != apply(relation_composition(sK5,sK4),sK0(sK5))
| ~ spl13_3 ),
inference(resolution,[],[f306,f187]) ).
fof(f187,plain,
in(sK0(sK5),relation_dom(sK5)),
inference(subsumption_resolution,[],[f186,f141]) ).
fof(f186,plain,
( in(sK0(sK5),relation_dom(sK5))
| ~ function(sK5) ),
inference(subsumption_resolution,[],[f182,f142]) ).
fof(f182,plain,
( ~ relation(sK5)
| in(sK0(sK5),relation_dom(sK5))
| ~ function(sK5) ),
inference(resolution,[],[f144,f125]) ).
fof(f125,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| in(sK0(X0),relation_dom(X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f306,plain,
( ! [X1] :
( ~ in(X1,relation_dom(sK5))
| apply(relation_composition(sK5,sK4),sK1(sK5)) != apply(relation_composition(sK5,sK4),X1)
| sK1(sK5) = X1 )
| ~ spl13_3 ),
inference(resolution,[],[f232,f189]) ).
fof(f189,plain,
in(sK1(sK5),relation_dom(sK5)),
inference(subsumption_resolution,[],[f188,f142]) ).
fof(f188,plain,
( ~ relation(sK5)
| in(sK1(sK5),relation_dom(sK5)) ),
inference(subsumption_resolution,[],[f181,f141]) ).
fof(f181,plain,
( ~ function(sK5)
| ~ relation(sK5)
| in(sK1(sK5),relation_dom(sK5)) ),
inference(resolution,[],[f144,f123]) ).
fof(f123,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| in(sK1(X0),relation_dom(X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f232,plain,
( ! [X3,X4] :
( ~ in(X3,relation_dom(sK5))
| ~ in(X4,relation_dom(sK5))
| apply(relation_composition(sK5,sK4),X3) != apply(relation_composition(sK5,sK4),X4)
| X3 = X4 )
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f328,plain,
spl13_10,
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f327,plain,
( $false
| spl13_10 ),
inference(subsumption_resolution,[],[f326,f139]) ).
fof(f139,plain,
relation(sK4),
inference(cnf_transformation,[],[f101]) ).
fof(f326,plain,
( ~ relation(sK4)
| spl13_10 ),
inference(subsumption_resolution,[],[f325,f140]) ).
fof(f140,plain,
function(sK4),
inference(cnf_transformation,[],[f101]) ).
fof(f325,plain,
( ~ function(sK4)
| ~ relation(sK4)
| spl13_10 ),
inference(trivial_inequality_removal,[],[f324]) ).
fof(f324,plain,
( apply(sK4,apply(sK5,sK0(sK5))) != apply(sK4,apply(sK5,sK0(sK5)))
| ~ function(sK4)
| ~ relation(sK4)
| spl13_10 ),
inference(superposition,[],[f321,f201]) ).
fof(f201,plain,
! [X0] :
( apply(X0,apply(sK5,sK0(sK5))) = apply(relation_composition(sK5,X0),sK0(sK5))
| ~ relation(X0)
| ~ function(X0) ),
inference(subsumption_resolution,[],[f200,f141]) ).
fof(f200,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ function(sK5)
| apply(X0,apply(sK5,sK0(sK5))) = apply(relation_composition(sK5,X0),sK0(sK5)) ),
inference(subsumption_resolution,[],[f193,f142]) ).
fof(f193,plain,
! [X0] :
( apply(X0,apply(sK5,sK0(sK5))) = apply(relation_composition(sK5,X0),sK0(sK5))
| ~ relation(sK5)
| ~ function(X0)
| ~ relation(X0)
| ~ function(sK5) ),
inference(resolution,[],[f187,f148]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ function(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f321,plain,
( apply(sK4,apply(sK5,sK0(sK5))) != apply(relation_composition(sK5,sK4),sK0(sK5))
| spl13_10 ),
inference(subsumption_resolution,[],[f320,f140]) ).
fof(f320,plain,
( apply(sK4,apply(sK5,sK0(sK5))) != apply(relation_composition(sK5,sK4),sK0(sK5))
| ~ function(sK4)
| spl13_10 ),
inference(subsumption_resolution,[],[f319,f139]) ).
fof(f319,plain,
( ~ relation(sK4)
| apply(sK4,apply(sK5,sK0(sK5))) != apply(relation_composition(sK5,sK4),sK0(sK5))
| ~ function(sK4)
| spl13_10 ),
inference(superposition,[],[f313,f211]) ).
fof(f211,plain,
! [X0] :
( apply(relation_composition(sK5,X0),sK1(sK5)) = apply(X0,apply(sK5,sK0(sK5)))
| ~ function(X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f210,f185]) ).
fof(f185,plain,
apply(sK5,sK0(sK5)) = apply(sK5,sK1(sK5)),
inference(subsumption_resolution,[],[f184,f142]) ).
fof(f184,plain,
( apply(sK5,sK0(sK5)) = apply(sK5,sK1(sK5))
| ~ relation(sK5) ),
inference(subsumption_resolution,[],[f183,f141]) ).
fof(f183,plain,
( ~ function(sK5)
| ~ relation(sK5)
| apply(sK5,sK0(sK5)) = apply(sK5,sK1(sK5)) ),
inference(resolution,[],[f144,f126]) ).
fof(f126,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK0(X0)) = apply(X0,sK1(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f210,plain,
! [X0] :
( ~ relation(X0)
| apply(X0,apply(sK5,sK1(sK5))) = apply(relation_composition(sK5,X0),sK1(sK5))
| ~ function(X0) ),
inference(subsumption_resolution,[],[f209,f142]) ).
fof(f209,plain,
! [X0] :
( ~ relation(sK5)
| apply(X0,apply(sK5,sK1(sK5))) = apply(relation_composition(sK5,X0),sK1(sK5))
| ~ relation(X0)
| ~ function(X0) ),
inference(subsumption_resolution,[],[f202,f141]) ).
fof(f202,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| apply(X0,apply(sK5,sK1(sK5))) = apply(relation_composition(sK5,X0),sK1(sK5))
| ~ function(sK5)
| ~ relation(sK5) ),
inference(resolution,[],[f189,f148]) ).
fof(f313,plain,
( apply(relation_composition(sK5,sK4),sK1(sK5)) != apply(relation_composition(sK5,sK4),sK0(sK5))
| spl13_10 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f273,plain,
spl13_5,
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| spl13_5 ),
inference(subsumption_resolution,[],[f271,f139]) ).
fof(f271,plain,
( ~ relation(sK4)
| spl13_5 ),
inference(subsumption_resolution,[],[f270,f142]) ).
fof(f270,plain,
( ~ relation(sK5)
| ~ relation(sK4)
| spl13_5 ),
inference(subsumption_resolution,[],[f269,f140]) ).
fof(f269,plain,
( ~ function(sK4)
| ~ relation(sK5)
| ~ relation(sK4)
| spl13_5 ),
inference(subsumption_resolution,[],[f267,f141]) ).
fof(f267,plain,
( ~ function(sK5)
| ~ relation(sK4)
| ~ relation(sK5)
| ~ function(sK4)
| spl13_5 ),
inference(resolution,[],[f240,f147]) ).
fof(f147,plain,
! [X0,X1] :
( function(relation_composition(X1,X0))
| ~ function(X1)
| ~ function(X0)
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ relation(X0)
| ( function(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( function(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) )
| ~ relation(X1)
| ~ function(X0)
| ~ function(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( relation(X1)
& function(X0)
& function(X1)
& relation(X0) )
=> ( function(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( function(X1)
& function(X0)
& relation(X0)
& relation(X1) )
=> ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f240,plain,
( ~ function(relation_composition(sK5,sK4))
| spl13_5 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl13_5
<=> function(relation_composition(sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f266,plain,
spl13_4,
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f265,plain,
( $false
| spl13_4 ),
inference(subsumption_resolution,[],[f264,f139]) ).
fof(f264,plain,
( ~ relation(sK4)
| spl13_4 ),
inference(subsumption_resolution,[],[f256,f142]) ).
fof(f256,plain,
( ~ relation(sK5)
| ~ relation(sK4)
| spl13_4 ),
inference(resolution,[],[f236,f149]) ).
fof(f149,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f236,plain,
( ~ relation(relation_composition(sK5,sK4))
| spl13_4 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl13_4
<=> relation(relation_composition(sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f241,plain,
( spl13_3
| ~ spl13_4
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f229,f238,f234,f231]) ).
fof(f229,plain,
! [X3,X4] :
( ~ function(relation_composition(sK5,sK4))
| ~ relation(relation_composition(sK5,sK4))
| X3 = X4
| apply(relation_composition(sK5,sK4),X3) != apply(relation_composition(sK5,sK4),X4)
| ~ in(X4,relation_dom(sK5))
| ~ in(X3,relation_dom(sK5)) ),
inference(subsumption_resolution,[],[f216,f145]) ).
fof(f145,plain,
one_to_one(relation_composition(sK5,sK4)),
inference(cnf_transformation,[],[f101]) ).
fof(f216,plain,
! [X3,X4] :
( apply(relation_composition(sK5,sK4),X3) != apply(relation_composition(sK5,sK4),X4)
| ~ in(X4,relation_dom(sK5))
| ~ one_to_one(relation_composition(sK5,sK4))
| ~ in(X3,relation_dom(sK5))
| ~ relation(relation_composition(sK5,sK4))
| X3 = X4
| ~ function(relation_composition(sK5,sK4)) ),
inference(superposition,[],[f127,f192]) ).
fof(f192,plain,
relation_dom(relation_composition(sK5,sK4)) = relation_dom(sK5),
inference(subsumption_resolution,[],[f191,f139]) ).
fof(f191,plain,
( ~ relation(sK4)
| relation_dom(relation_composition(sK5,sK4)) = relation_dom(sK5) ),
inference(subsumption_resolution,[],[f190,f142]) ).
fof(f190,plain,
( relation_dom(relation_composition(sK5,sK4)) = relation_dom(sK5)
| ~ relation(sK5)
| ~ relation(sK4) ),
inference(resolution,[],[f143,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1)
| relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1)
| relation_dom(X0) = relation_dom(relation_composition(X0,X1)) ) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(X0) = relation_dom(relation_composition(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_relat_1) ).
fof(f143,plain,
subset(relation_rng(sK5),relation_dom(sK4)),
inference(cnf_transformation,[],[f101]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_dom(X0))
| ~ one_to_one(X0)
| ~ relation(X0)
| X1 = X2
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| ~ function(X0) ),
inference(cnf_transformation,[],[f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU014+1 : 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
% 0.12/0.34 % Computer : n022.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 14:36:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (1636)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)
% 0.20/0.51 % (1647)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)
% 0.20/0.51 % (1639)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)
% 0.20/0.51 % (1631)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)
% 0.20/0.52 % (1635)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)
% 0.20/0.52 % (1637)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)
% 0.20/0.52 % (1645)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)
% 0.20/0.52 % (1635)Instruction limit reached!
% 0.20/0.52 % (1635)------------------------------
% 0.20/0.52 % (1635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (1635)Termination reason: Unknown
% 0.20/0.52 % (1635)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (1635)Memory used [KB]: 6140
% 0.20/0.52 % (1635)Time elapsed: 0.118 s
% 0.20/0.52 % (1635)Instructions burned: 7 (million)
% 0.20/0.52 % (1635)------------------------------
% 0.20/0.52 % (1635)------------------------------
% 0.20/0.52 % (1629)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)
% 0.20/0.52 % (1639)Instruction limit reached!
% 0.20/0.52 % (1639)------------------------------
% 0.20/0.52 % (1639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (1639)Termination reason: Unknown
% 0.20/0.52 % (1639)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (1639)Memory used [KB]: 6140
% 0.20/0.52 % (1639)Time elapsed: 0.068 s
% 0.20/0.52 % (1639)Instructions burned: 8 (million)
% 0.20/0.52 % (1639)------------------------------
% 0.20/0.52 % (1639)------------------------------
% 0.20/0.52 % (1624)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)
% 0.20/0.53 % (1627)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)
% 0.20/0.53 % (1621)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.35/0.53 % (1649)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)
% 1.35/0.53 % (1623)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)
% 1.35/0.53 % (1623)Instruction limit reached!
% 1.35/0.53 % (1623)------------------------------
% 1.35/0.53 % (1623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (1650)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)
% 1.35/0.53 % (1641)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.35/0.53 % (1651)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)
% 1.35/0.53 % (1630)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)
% 1.35/0.54 % (1642)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)
% 1.35/0.54 % (1643)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)
% 1.35/0.54 % (1627)Instruction limit reached!
% 1.35/0.54 % (1627)------------------------------
% 1.35/0.54 % (1627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54 % (1636)Instruction limit reached!
% 1.35/0.54 % (1636)------------------------------
% 1.35/0.54 % (1636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54 % (1636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54 % (1636)Termination reason: Unknown
% 1.35/0.54 % (1636)Termination phase: Saturation
% 1.35/0.54
% 1.35/0.54 % (1636)Memory used [KB]: 1791
% 1.35/0.54 % (1636)Time elapsed: 0.129 s
% 1.35/0.54 % (1636)Instructions burned: 16 (million)
% 1.35/0.54 % (1636)------------------------------
% 1.35/0.54 % (1636)------------------------------
% 1.35/0.54 % (1646)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)
% 1.35/0.54 % (1627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54 % (1627)Termination reason: Unknown
% 1.35/0.54 % (1627)Termination phase: Saturation
% 1.35/0.54
% 1.35/0.54 % (1627)Memory used [KB]: 6140
% 1.35/0.54 % (1627)Time elapsed: 0.128 s
% 1.35/0.54 % (1627)Instructions burned: 13 (million)
% 1.35/0.54 % (1627)------------------------------
% 1.35/0.54 % (1627)------------------------------
% 1.35/0.54 % (1644)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)
% 1.35/0.54 % (1640)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)
% 1.35/0.54 % (1638)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)
% 1.35/0.54 % (1632)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)
% 1.35/0.54 % (1638)Instruction limit reached!
% 1.35/0.54 % (1638)------------------------------
% 1.35/0.54 % (1638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54 % (1638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54 % (1638)Termination reason: Unknown
% 1.35/0.54 % (1638)Termination phase: Saturation
% 1.35/0.54
% 1.35/0.54 % (1638)Memory used [KB]: 6012
% 1.35/0.54 % (1638)Time elapsed: 0.138 s
% 1.35/0.54 % (1638)Instructions burned: 4 (million)
% 1.35/0.54 % (1638)------------------------------
% 1.35/0.54 % (1638)------------------------------
% 1.53/0.54 % (1623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (1623)Termination reason: Unknown
% 1.53/0.54 % (1623)Termination phase: Saturation
% 1.53/0.54
% 1.53/0.54 % (1623)Memory used [KB]: 1407
% 1.53/0.54 % (1623)Time elapsed: 0.003 s
% 1.53/0.54 % (1623)Instructions burned: 3 (million)
% 1.53/0.54 % (1623)------------------------------
% 1.53/0.54 % (1623)------------------------------
% 1.53/0.55 % (1634)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)
% 1.53/0.55 % (1653)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)
% 1.53/0.55 % (1633)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)
% 1.53/0.55 % (1652)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)
% 1.53/0.55 % (1642)Instruction limit reached!
% 1.53/0.55 % (1642)------------------------------
% 1.53/0.55 % (1642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (1642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (1642)Termination reason: Unknown
% 1.53/0.55 % (1642)Termination phase: Saturation
% 1.53/0.55
% 1.53/0.55 % (1642)Memory used [KB]: 1535
% 1.53/0.55 % (1642)Time elapsed: 0.004 s
% 1.53/0.55 % (1642)Instructions burned: 3 (million)
% 1.53/0.55 % (1642)------------------------------
% 1.53/0.55 % (1642)------------------------------
% 1.53/0.55 % (1648)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)
% 1.53/0.55 % (1622)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)
% 1.53/0.55 % (1634)Instruction limit reached!
% 1.53/0.55 % (1634)------------------------------
% 1.53/0.55 % (1634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (1629)Instruction limit reached!
% 1.53/0.55 % (1629)------------------------------
% 1.53/0.55 % (1629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (1629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (1629)Termination reason: Unknown
% 1.53/0.55 % (1629)Termination phase: Saturation
% 1.53/0.55
% 1.53/0.55 % (1629)Memory used [KB]: 1663
% 1.53/0.55 % (1629)Time elapsed: 0.127 s
% 1.53/0.55 % (1629)Instructions burned: 15 (million)
% 1.53/0.55 % (1629)------------------------------
% 1.53/0.55 % (1629)------------------------------
% 1.53/0.55 % (1643)Refutation not found, incomplete strategy% (1643)------------------------------
% 1.53/0.55 % (1643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (1643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (1643)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.55
% 1.53/0.55 % (1643)Memory used [KB]: 6012
% 1.53/0.55 % (1643)Time elapsed: 0.146 s
% 1.53/0.55 % (1643)Instructions burned: 3 (million)
% 1.53/0.55 % (1643)------------------------------
% 1.53/0.55 % (1643)------------------------------
% 1.53/0.55 % (1641)Instruction limit reached!
% 1.53/0.55 % (1641)------------------------------
% 1.53/0.55 % (1641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (1641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (1641)Termination reason: Unknown
% 1.53/0.55 % (1641)Termination phase: Finite model building preprocessing
% 1.53/0.55
% 1.53/0.55 % (1641)Memory used [KB]: 1535
% 1.53/0.55 % (1641)Time elapsed: 0.004 s
% 1.53/0.55 % (1641)Instructions burned: 3 (million)
% 1.53/0.55 % (1641)------------------------------
% 1.53/0.55 % (1641)------------------------------
% 1.53/0.55 % (1634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (1634)Termination reason: Unknown
% 1.53/0.55 % (1634)Termination phase: Saturation
% 1.53/0.55
% 1.53/0.55 % (1634)Memory used [KB]: 6268
% 1.53/0.55 % (1634)Time elapsed: 0.152 s
% 1.53/0.55 % (1634)Instructions burned: 13 (million)
% 1.53/0.55 % (1634)------------------------------
% 1.53/0.55 % (1634)------------------------------
% 1.53/0.55 % (1650)First to succeed.
% 1.53/0.56 % (1622)Instruction limit reached!
% 1.53/0.56 % (1622)------------------------------
% 1.53/0.56 % (1622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56 % (1652)Instruction limit reached!
% 1.53/0.56 % (1652)------------------------------
% 1.53/0.56 % (1652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57 % (1631)Instruction limit reached!
% 1.53/0.57 % (1631)------------------------------
% 1.53/0.57 % (1631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57 % (1652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.57 % (1652)Termination reason: Unknown
% 1.53/0.57 % (1652)Termination phase: Saturation
% 1.53/0.57
% 1.53/0.57 % (1652)Memory used [KB]: 6140
% 1.53/0.57 % (1652)Time elapsed: 0.152 s
% 1.53/0.57 % (1652)Instructions burned: 9 (million)
% 1.53/0.57 % (1652)------------------------------
% 1.53/0.57 % (1652)------------------------------
% 1.53/0.57 % (1647)Instruction limit reached!
% 1.53/0.57 % (1647)------------------------------
% 1.53/0.57 % (1647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58 % (1650)Refutation found. Thanks to Tanya!
% 1.53/0.58 % SZS status Theorem for theBenchmark
% 1.53/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.58 % (1650)------------------------------
% 1.53/0.58 % (1650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58 % (1650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58 % (1650)Termination reason: Refutation
% 1.53/0.58
% 1.53/0.58 % (1650)Memory used [KB]: 6268
% 1.53/0.58 % (1650)Time elapsed: 0.151 s
% 1.53/0.58 % (1650)Instructions burned: 9 (million)
% 1.53/0.58 % (1650)------------------------------
% 1.53/0.58 % (1650)------------------------------
% 1.53/0.58 % (1618)Success in time 0.218 s
%------------------------------------------------------------------------------