TSTP Solution File: SEU221+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU221+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : Tue Apr 30 15:24:41 EDT 2024
% Result : Theorem 7.18s 1.39s
% Output : Refutation 7.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 67
% Syntax : Number of formulae : 3014 ( 194 unt; 0 def)
% Number of atoms : 8234 (2847 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 10117 (4897 ~;4978 |; 174 &)
% ( 28 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 31 ( 29 usr; 18 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 4662 (4626 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31264,plain,
$false,
inference(avatar_sat_refutation,[],[f10413,f10458,f10479,f10484,f11745,f18114,f18299,f18307,f18328,f18398,f31242,f31253,f31258,f31263]) ).
fof(f31263,plain,
spl19_17,
inference(avatar_contradiction_clause,[],[f31262]) ).
fof(f31262,plain,
( $false
| spl19_17 ),
inference(subsumption_resolution,[],[f31261,f119]) ).
fof(f119,plain,
relation(sK5),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ~ one_to_one(function_inverse(sK5))
& one_to_one(sK5)
& function(sK5)
& relation(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f44,f85]) ).
fof(f85,plain,
( ? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( ~ one_to_one(function_inverse(sK5))
& one_to_one(sK5)
& function(sK5)
& relation(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_funct_1) ).
fof(f31261,plain,
( ~ relation(sK5)
| spl19_17 ),
inference(subsumption_resolution,[],[f31259,f120]) ).
fof(f120,plain,
function(sK5),
inference(cnf_transformation,[],[f86]) ).
fof(f31259,plain,
( ~ function(sK5)
| ~ relation(sK5)
| spl19_17 ),
inference(resolution,[],[f31252,f137]) ).
fof(f137,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f31252,plain,
( ~ relation(function_inverse(sK5))
| spl19_17 ),
inference(avatar_component_clause,[],[f31250]) ).
fof(f31250,plain,
( spl19_17
<=> relation(function_inverse(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_17])]) ).
fof(f31258,plain,
spl19_16,
inference(avatar_contradiction_clause,[],[f31257]) ).
fof(f31257,plain,
( $false
| spl19_16 ),
inference(subsumption_resolution,[],[f31256,f119]) ).
fof(f31256,plain,
( ~ relation(sK5)
| spl19_16 ),
inference(subsumption_resolution,[],[f31254,f120]) ).
fof(f31254,plain,
( ~ function(sK5)
| ~ relation(sK5)
| spl19_16 ),
inference(resolution,[],[f31248,f138]) ).
fof(f138,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f31248,plain,
( ~ function(function_inverse(sK5))
| spl19_16 ),
inference(avatar_component_clause,[],[f31246]) ).
fof(f31246,plain,
( spl19_16
<=> function(function_inverse(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_16])]) ).
fof(f31253,plain,
( ~ spl19_16
| ~ spl19_17
| ~ spl19_1 ),
inference(avatar_split_clause,[],[f31244,f10406,f31250,f31246]) ).
fof(f10406,plain,
( spl19_1
<=> sP3(function_inverse(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f31244,plain,
( ~ relation(function_inverse(sK5))
| ~ function(function_inverse(sK5))
| ~ spl19_1 ),
inference(subsumption_resolution,[],[f31243,f122]) ).
fof(f122,plain,
~ one_to_one(function_inverse(sK5)),
inference(cnf_transformation,[],[f86]) ).
fof(f31243,plain,
( ~ relation(function_inverse(sK5))
| ~ function(function_inverse(sK5))
| one_to_one(function_inverse(sK5))
| ~ spl19_1 ),
inference(resolution,[],[f10408,f214]) ).
fof(f214,plain,
! [X0] :
( ~ sP3(X0)
| ~ relation(X0)
| ~ function(X0)
| one_to_one(X0) ),
inference(resolution,[],[f161,f155]) ).
fof(f155,plain,
! [X0] :
( ~ sP4(X0)
| ~ sP3(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( ( one_to_one(X0)
| ~ sP3(X0) )
& ( sP3(X0)
| ~ one_to_one(X0) ) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( one_to_one(X0)
<=> sP3(X0) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f161,plain,
! [X0] :
( sP4(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( sP4(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f59,f83,f82]) ).
fof(f82,plain,
! [X0] :
( sP3(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f59,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f10408,plain,
( sP3(function_inverse(sK5))
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f10406]) ).
fof(f31242,plain,
spl19_1,
inference(avatar_contradiction_clause,[],[f31241]) ).
fof(f31241,plain,
( $false
| spl19_1 ),
inference(subsumption_resolution,[],[f31240,f10407]) ).
fof(f10407,plain,
( ~ sP3(function_inverse(sK5))
| spl19_1 ),
inference(avatar_component_clause,[],[f10406]) ).
fof(f31240,plain,
( sP3(function_inverse(sK5))
| spl19_1 ),
inference(trivial_inequality_removal,[],[f31238]) ).
fof(f31238,plain,
( sK8(function_inverse(sK5)) != sK8(function_inverse(sK5))
| sP3(function_inverse(sK5))
| spl19_1 ),
inference(superposition,[],[f160,f31218]) ).
fof(f31218,plain,
( sK8(function_inverse(sK5)) = sK9(function_inverse(sK5))
| spl19_1 ),
inference(forward_demodulation,[],[f31217,f11737]) ).
fof(f11737,plain,
( sK8(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK8(function_inverse(sK5))))
| spl19_1 ),
inference(subsumption_resolution,[],[f11736,f119]) ).
fof(f11736,plain,
( sK8(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK8(function_inverse(sK5))))
| ~ relation(sK5)
| spl19_1 ),
inference(subsumption_resolution,[],[f11735,f120]) ).
fof(f11735,plain,
( sK8(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK8(function_inverse(sK5))))
| ~ function(sK5)
| ~ relation(sK5)
| spl19_1 ),
inference(subsumption_resolution,[],[f11729,f121]) ).
fof(f121,plain,
one_to_one(sK5),
inference(cnf_transformation,[],[f86]) ).
fof(f11729,plain,
( sK8(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK8(function_inverse(sK5))))
| ~ one_to_one(sK5)
| ~ function(sK5)
| ~ relation(sK5)
| spl19_1 ),
inference(resolution,[],[f11725,f175]) ).
fof(f175,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| apply(X1,apply(function_inverse(X1),X0)) = X0
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 )
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 )
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( in(X0,relation_rng(X1))
& one_to_one(X1) )
=> ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1) ).
fof(f11725,plain,
( in(sK8(function_inverse(sK5)),relation_rng(sK5))
| spl19_1 ),
inference(subsumption_resolution,[],[f10393,f10407]) ).
fof(f10393,plain,
( in(sK8(function_inverse(sK5)),relation_rng(sK5))
| sP3(function_inverse(sK5)) ),
inference(superposition,[],[f157,f10387]) ).
fof(f10387,plain,
relation_rng(sK5) = relation_dom(function_inverse(sK5)),
inference(subsumption_resolution,[],[f10386,f120]) ).
fof(f10386,plain,
( ~ function(sK5)
| relation_rng(sK5) = relation_dom(function_inverse(sK5)) ),
inference(subsumption_resolution,[],[f10379,f119]) ).
fof(f10379,plain,
( ~ relation(sK5)
| ~ function(sK5)
| relation_rng(sK5) = relation_dom(function_inverse(sK5)) ),
inference(resolution,[],[f3260,f121]) ).
fof(f3260,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0)) ),
inference(resolution,[],[f1154,f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| relation_dom(X0) = relation_rng(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( sK7(X0,X1) != apply(X0,sK6(X0,X1))
| ~ in(sK6(X0,X1),relation_rng(X1)) )
& sK6(X0,X1) = apply(X1,sK7(X0,X1))
& in(sK7(X0,X1),relation_dom(X1)) )
| ~ sP0(sK6(X0,X1),sK7(X0,X1),X1,X0)
| relation_dom(X0) != relation_rng(X1) )
& ( ( ! [X4,X5] :
( ( ( apply(X0,X4) = X5
& in(X4,relation_rng(X1)) )
| apply(X1,X5) != X4
| ~ in(X5,relation_dom(X1)) )
& sP0(X4,X5,X1,X0) )
& relation_dom(X0) = relation_rng(X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f90,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ( apply(X0,X2) != X3
| ~ in(X2,relation_rng(X1)) )
& apply(X1,X3) = X2
& in(X3,relation_dom(X1)) )
| ~ sP0(X2,X3,X1,X0) )
=> ( ( ( sK7(X0,X1) != apply(X0,sK6(X0,X1))
| ~ in(sK6(X0,X1),relation_rng(X1)) )
& sK6(X0,X1) = apply(X1,sK7(X0,X1))
& in(sK7(X0,X1),relation_dom(X1)) )
| ~ sP0(sK6(X0,X1),sK7(X0,X1),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2,X3] :
( ( ( apply(X0,X2) != X3
| ~ in(X2,relation_rng(X1)) )
& apply(X1,X3) = X2
& in(X3,relation_dom(X1)) )
| ~ sP0(X2,X3,X1,X0) )
| relation_dom(X0) != relation_rng(X1) )
& ( ( ! [X4,X5] :
( ( ( apply(X0,X4) = X5
& in(X4,relation_rng(X1)) )
| apply(X1,X5) != X4
| ~ in(X5,relation_dom(X1)) )
& sP0(X4,X5,X1,X0) )
& relation_dom(X0) = relation_rng(X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X2,X3,X0,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X2,X3,X0,X1) )
& relation_rng(X0) = relation_dom(X1) )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X2,X3,X0,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X2,X3,X0,X1) )
& relation_rng(X0) = relation_dom(X1) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X2,X3,X0,X1) )
& relation_rng(X0) = relation_dom(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1154,plain,
! [X0] :
( sP1(function_inverse(X0),X0)
| ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0) ),
inference(subsumption_resolution,[],[f1153,f137]) ).
fof(f1153,plain,
! [X0] :
( ~ relation(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| sP1(function_inverse(X0),X0) ),
inference(subsumption_resolution,[],[f1151,f138]) ).
fof(f1151,plain,
! [X0] :
( ~ function(function_inverse(X0))
| ~ relation(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| sP1(function_inverse(X0),X0) ),
inference(resolution,[],[f153,f195]) ).
fof(f195,plain,
! [X0] :
( ~ sP2(X0,function_inverse(X0))
| sP1(function_inverse(X0),X0) ),
inference(equality_resolution,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( sP1(X1,X0)
| function_inverse(X0) != X1
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( ( function_inverse(X0) = X1
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| function_inverse(X0) != X1 ) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( function_inverse(X0) = X1
<=> sP1(X1,X0) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f153,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( sP2(X0,X1)
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f57,f80,f79,f78]) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( sP0(X2,X3,X0,X1)
<=> ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
=> ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
=> ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
& relation_rng(X0) = relation_dom(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1) ).
fof(f157,plain,
! [X0] :
( in(sK8(X0),relation_dom(X0))
| sP3(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( sP3(X0)
| ( sK8(X0) != sK9(X0)
& apply(X0,sK8(X0)) = apply(X0,sK9(X0))
& in(sK9(X0),relation_dom(X0))
& in(sK8(X0),relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ sP3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f98,f99]) ).
fof(f99,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK8(X0) != sK9(X0)
& apply(X0,sK8(X0)) = apply(X0,sK9(X0))
& in(sK9(X0),relation_dom(X0))
& in(sK8(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0] :
( ( sP3(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ sP3(X0) ) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( sP3(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) )
| ~ sP3(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f31217,plain,
( sK9(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK8(function_inverse(sK5))))
| spl19_1 ),
inference(forward_demodulation,[],[f11778,f12090]) ).
fof(f12090,plain,
( apply(function_inverse(sK5),sK8(function_inverse(sK5))) = apply(function_inverse(sK5),sK9(function_inverse(sK5)))
| spl19_1 ),
inference(global_subsumption,[],[f124,f127,f126,f164,f201,f173,f119,f120,f121,f123,f125,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f122,f128,f129,f165,f130,f203,f204,f205,f209,f131,f132,f133,f134,f179,f154,f155,f161,f166,f216,f217,f212,f224,f225,f226,f219,f135,f213,f237,f238,f239,f232,f136,f137,f138,f157,f246,f245,f249,f158,f247,f160,f178,f244,f250,f218,f220,f231,f233,f141,f142,f168,f316,f317,f169,f323,f324,f325,f326,f170,f171,f331,f332,f333,f334,f172,f177,f195,f214,f338,f150,f215,f253,f255,f264,f372,f373,f266,f391,f392,f277,f410,f411,f279,f429,f430,f290,f448,f449,f292,f467,f468,f303,f486,f487,f305,f505,f506,f140,f319,f538,f539,f531,f548,f549,f550,f543,f540,f557,f558,f544,f572,f573,f556,f587,f588,f560,f606,f607,f571,f625,f626,f151,f575,f644,f645,f529,f663,f664,f670,f671,f672,f665,f532,f680,f681,f687,f688,f689,f682,f159,f534,f697,f698,f704,f705,f706,f699,f535,f713,f714,f720,f721,f722,f715,f536,f729,f730,f736,f737,f738,f198,f731,f586,f745,f746,f590,f768,f769,f605,f791,f792,f609,f814,f815,f624,f837,f838,f628,f860,f861,f643,f883,f884,f647,f906,f907,f662,f929,f930,f666,f944,f945,f679,f959,f960,f683,f974,f975,f696,f989,f990,f700,f1004,f1005,f712,f1019,f1020,f716,f1034,f1035,f174,f728,f1056,f1057,f732,f1071,f1072,f541,f1086,f1087,f1088,f1089,f1090,f1092,f1100,f1101,f1091,f1103,f1104,f1093,f1118,f1119,f1125,f1126,f1127,f1120,f1094,f1135,f1136,f1142,f1143,f1144,f1137,f153,f1096,f1156,f1157,f1163,f1164,f1165,f1158,f1097,f1173,f1174,f1180,f1181,f1182,f1175,f197,f1193,f1098,f1195,f1196,f1202,f1203,f1204,f1197,f1102,f1212,f1213,f1106,f1231,f1232,f196,f1251,f1252,f1117,f1254,f1255,f1121,f1269,f1270,f1134,f1284,f1285,f1138,f1299,f1300,f1155,f1314,f1315,f1159,f1329,f1330,f1172,f1344,f1345,f1176,f1359,f1360,f1194,f1374,f1375,f1198,f1389,f1390,f542,f1403,f1404,f1405,f1406,f1407,f1408,f1410,f1418,f1419,f200,f1409,f1424,f1425,f1411,f1439,f1440,f1412,f1454,f1455,f1414,f1469,f1470,f1415,f1484,f1485,f1416,f1499,f1500,f1423,f1514,f1515,f1427,f1533,f1534,f1438,f1552,f1553,f175,f1570,f1574,f1442,f1576,f1577,f1453,f1595,f1596,f1457,f1614,f1615,f1468,f1633,f1634,f1472,f1652,f1653,f1483,f1671,f1672,f1487,f1690,f1691,f1498,f1709,f1710,f1502,f1728,f1729,f1085,f1746,f1747,f1748,f1750,f176,f1757,f1761,f744,f1762,f1763,f1764,f1766,f748,f1789,f1790,f1791,f1793,f767,f1816,f1817,f1818,f1820,f771,f1843,f1844,f1845,f1847,f790,f1870,f1871,f1872,f1874,f794,f1897,f1898,f1899,f1901,f813,f1924,f1925,f1926,f1928,f817,f1951,f1952,f1953,f1955,f836,f1978,f1979,f1980,f1982,f840,f2005,f2006,f2007,f2009,f859,f2032,f2033,f2034,f2036,f199,f863,f2062,f2063,f2064,f2066,f882,f2089,f2090,f2091,f2093,f886,f2116,f2117,f2118,f2120,f905,f2143,f2144,f2145,f2147,f909,f2170,f2171,f2172,f2174,f1211,f2197,f2198,f2199,f2201,f1215,f2220,f2221,f2222,f2224,f1230,f2243,f2244,f2245,f2247,f1234,f2266,f2267,f2268,f2270,f1253,f2289,f2290,f2291,f2293,f1257,f2308,f2309,f2310,f2312,f156,f1268,f2329,f2330,f2331,f2333,f1272,f2348,f2349,f2350,f2352,f1283,f2367,f2368,f2369,f2371,f1287,f2386,f2387,f2388,f2390,f1298,f2405,f2406,f2407,f2409,f1302,f2424,f2425,f2426,f2428,f1313,f2443,f2444,f2445,f2447,f1317,f2462,f2463,f2464,f2466,f1328,f2481,f2482,f2483,f2485,f1332,f2500,f2501,f2502,f2504,f1343,f2519,f2520,f2521,f2523,f145,f1347,f2541,f2542,f2543,f2545,f1358,f2560,f2561,f2562,f2564,f1362,f2579,f2580,f2581,f2583,f1373,f2598,f2599,f2600,f2602,f1377,f2617,f2618,f2619,f2621,f1388,f2636,f2637,f2638,f2640,f1392,f2655,f2656,f2657,f2659,f1513,f2674,f2675,f2676,f2678,f1517,f2697,f2698,f2699,f2701,f1532,f2720,f2721,f2722,f2724,f1536,f2743,f2744,f2745,f2747,f146,f1551,f2769,f2770,f2771,f2773,f1555,f2792,f2793,f2794,f2796,f1575,f2815,f2816,f2817,f2819,f1579,f2838,f2839,f2840,f2842,f1594,f2861,f2862,f2863,f2865,f1598,f2884,f2885,f2886,f2888,f1613,f2907,f2908,f2909,f2911,f1617,f2930,f2931,f2932,f2934,f1632,f2953,f2954,f2955,f2957,f1636,f2976,f2977,f2978,f2980,f1651,f2999,f3000,f3001,f3003,f147,f1655,f3025,f3026,f3027,f3029,f1670,f3048,f3049,f3050,f3052,f1674,f3071,f3072,f3073,f3075,f1689,f3094,f3095,f3096,f3098,f1693,f3117,f3118,f3119,f3121,f1708,f3140,f3141,f3142,f3144,f1712,f3163,f3164,f3165,f3167,f1727,f3186,f3187,f3188,f3190,f1731,f3209,f3210,f3211,f3213,f327,f3232,f3247,f3248,f3240,f3257,f3258,f3259,f1154,f3252,f3249,f3269,f3270,f3253,f3284,f3285,f3268,f3299,f3300,f3272,f3318,f3319,f3283,f3337,f3338,f3287,f3356,f3357,f3238,f3375,f3376,f320,f3388,f3389,f3390,f3400,f3401,f3393,f3403,f3404,f3241,f3414,f3415,f3421,f3422,f3423,f3416,f3243,f3432,f3433,f3439,f3440,f3441,f3434,f328,f3449,f3452,f3453,f3454,f3464,f3465,f3457,f3467,f3468,f3244,f3478,f3479,f3485,f3486,f3487,f3480,f3245,f3496,f3497,f3503,f3504,f3505,f3498,f1189,f3402,f3515,f3516,f3406,f3530,f3531,f3466,f3545,f3546,f3470,f3560,f3561,f3298,f3575,f3576,f3302,f3598,f3599,f3317,f3621,f3622,f3321,f3644,f3645,f3336,f3667,f3668,f1190,f3340,f3691,f3692,f3355,f3714,f3715,f3359,f3737,f3738,f3374,f3760,f3761,f3378,f3775,f3776,f3413,f3790,f3791,f3417,f3805,f3806,f3431,f3820,f3821,f3435,f3835,f3836,f3477,f3850,f3851,f3481,f3865,f3866,f1422,f3879,f3880,f3884,f3495,f3886,f3887,f3499,f3901,f3902,f3250,f3916,f3917,f3918,f3919,f3920,f3922,f3930,f3931,f3921,f3933,f3934,f3923,f3948,f3949,f3924,f3963,f3964,f3926,f3978,f3979,f3927,f3993,f3994,f3928,f4008,f4009,f1249,f3932,f4024,f4025,f3936,f4043,f4044,f3947,f4062,f4063,f3951,f4081,f4082,f3962,f4100,f4101,f3966,f4119,f4120,f3977,f4138,f4139,f3981,f4157,f4158,f3992,f4176,f4177,f3996,f4195,f4196,f4007,f4214,f4215,f1250,f4011,f4234,f4235,f3251,f4252,f4253,f4254,f4255,f4256,f4257,f4259,f4267,f4268,f4258,f4270,f4271,f4260,f4285,f4286,f4261,f4300,f4301,f4263,f4315,f4316,f4264,f4330,f4331,f4265,f4345,f4346,f4269,f4360,f4361,f2061,f4378,f4379,f4273,f4381,f4382,f4284,f4400,f4401,f4288,f4419,f4420,f4299,f4438,f4439,f4303,f4457,f4458,f4314,f4476,f4477,f4318,f4495,f4496,f4329,f4514,f4515,f4333,f4533,f4534,f4344,f4552,f4553,f4348,f4571,f4572,f1152,f3514,f4591,f4592,f4593,f4595,f3518,f4610,f4611,f4612,f4614,f3529,f4629,f4630,f4631,f4633,f3533,f4648,f4649,f4650,f4652,f3544,f4667,f4668,f4669,f4671,f3548,f4686,f4687,f4688,f4690,f3559,f4705,f4706,f4707,f4709,f3563,f4724,f4725,f4726,f4728,f3915,f4743,f4744,f4745,f4747,f3574,f4754,f4755,f4756,f4758,f2539,f4781,f4782,f4783,f4784,f4787,f3578,f4788,f4789,f4790,f4792,f3597,f4815,f4816,f4817,f4819,f3601,f4842,f4843,f4844,f4846,f3620,f4869,f4870,f4871,f4873,f3624,f4896,f4897,f4898,f4900,f3643,f4923,f4924,f4925,f4927,f3647,f4950,f4951,f4952,f4954,f3666,f4977,f4978,f4979,f4981,f3670,f5004,f5005,f5006,f5008,f3690,f5031,f5032,f5033,f5035,f3694,f5058,f5059,f5060,f5062,f2538,f5085,f5086,f5087,f5088,f5090,f3713,f5091,f5092,f5093,f5095,f3717,f5118,f5119,f5120,f5122,f3736,f5145,f5146,f5147,f5149,f3740,f5172,f5173,f5174,f5176,f4023,f5199,f5200,f5201,f5203,f4027,f5222,f5223,f5224,f5226,f4042,f5245,f5246,f5247,f5249,f4046,f5268,f5269,f5270,f5272,f4061,f5291,f5292,f5293,f5295,f4065,f5314,f5315,f5316,f5318,f4080,f5337,f5338,f5339,f5341,f2767,f5360,f5361,f5362,f5363,f5364,f5366,f4084,f5367,f5368,f5369,f5371,f4099,f5390,f5391,f5392,f5394,f4103,f5413,f5414,f5415,f5417,f4118,f5436,f5437,f5438,f5440,f4122,f5459,f5460,f5461,f5463,f4137,f5482,f5483,f5484,f5486,f4141,f5505,f5506,f5507,f5509,f4156,f5528,f5529,f5530,f5532,f4160,f5551,f5552,f5553,f5555,f4175,f5574,f5575,f5576,f5578,f4179,f5597,f5598,f5599,f5601,f2766,f5620,f4194,f5621,f5622,f5623,f5625,f4198,f5644,f5645,f5646,f5648,f4213,f5667,f5668,f5669,f5671,f4217,f5690,f5691,f5692,f5694,f4233,f5713,f5714,f5715,f5717,f4237,f5736,f5737,f5738,f5740,f4359,f5759,f5760,f5761,f5763,f4363,f5782,f5783,f5784,f5786,f4380,f5805,f5806,f5807,f5809,f4384,f5828,f5829,f5830,f5832,f4399,f5851,f5852,f5853,f5855,f341,f5874,f5875,f5876,f5878,f4403,f5893,f5894,f5895,f5897,f4418,f5916,f5917,f5918,f5920,f4422,f5939,f5940,f5941,f5943,f4437,f5962,f5963,f5964,f5966,f4441,f5985,f5986,f5987,f5989,f4456,f6008,f6009,f6010,f6012,f4460,f6031,f6032,f6033,f6035,f4475,f6054,f6055,f6056,f6058,f4479,f6077,f6078,f6079,f6081,f4494,f6100,f6101,f6102,f6104,f4498,f6123,f6124,f6125,f6127,f345,f6146,f6147,f6148,f6150,f4513,f6165,f6166,f6167,f6169,f4517,f6188,f6189,f6190,f6192,f4532,f6211,f6212,f6213,f6215,f4536,f6234,f6235,f6236,f6238,f4551,f6257,f6258,f6259,f6261,f4555,f6280,f6281,f6282,f6284,f4570,f6303,f6304,f6305,f6307,f4574,f6326,f6327,f6328,f6330,f356,f6349,f6350,f6351,f6353,f360,f6368,f6369,f6370,f6372,f523,f6387,f6388,f6389,f6391,f3391,f6398,f6399,f6400,f6402,f3394,f6409,f6410,f6411,f6413,f3396,f6420,f6421,f6422,f6424,f3397,f6431,f6432,f6433,f6435,f3398,f6442,f6443,f6444,f6446,f3455,f6453,f6454,f6455,f6457,f3458,f6464,f6465,f6466,f6468,f3460,f6475,f6476,f6477,f6479,f3461,f6486,f6487,f6488,f6490,f3462,f6497,f6498,f6499,f6501,f371,f6508,f6509,f6510,f6512,f375,f6531,f6532,f6533,f6535,f390,f6554,f6555,f6556,f6558,f394,f6577,f6578,f6579,f6581,f409,f6600,f6601,f6602,f6604,f413,f6623,f6624,f6625,f6627,f428,f6646,f6647,f6648,f6650,f432,f6669,f6670,f6671,f6673,f447,f6692,f6693,f6694,f6696,f321,f6715,f6716,f6717,f6718,f6719,f6720,f6722,f6730,f6731,f6723,f6733,f6734,f6732,f6748,f6749,f6736,f6767,f6768,f6747,f6786,f6787,f6751,f6809,f6810,f6766,f6832,f6833,f6770,f6855,f6856,f6721,f6878,f6879,f6724,f6893,f6894,f6726,f6908,f6909,f6727,f6923,f6924,f322,f6937,f6938,f6939,f6940,f6941,f6942,f6944,f6952,f6953,f6945,f6955,f6956,f6954,f6970,f6971,f6958,f6989,f6990,f6969,f7008,f7009,f6973,f7031,f7032,f6988,f7054,f7055,f6992,f7077,f7078,f6728,f7100,f7101,f6943,f7115,f7116,f329,f7129,f7130,f7131,f7132,f7133,f7134,f7136,f7144,f7145,f7137,f7147,f7148,f7146,f7162,f7163,f7150,f7181,f7182,f7161,f7200,f7201,f7165,f7223,f7224,f7180,f7246,f7247,f7184,f7269,f7270,f6946,f7292,f7293,f6948,f7307,f7308,f6949,f7322,f7323,f7325,f6950,f7336,f7337,f7338,f7340,f330,f7351,f7352,f7353,f7354,f7355,f7356,f7358,f7366,f7367,f7359,f7369,f7370,f7368,f7384,f7385,f7372,f7403,f7404,f7383,f7422,f7423,f7387,f7445,f7446,f7402,f7468,f7469,f7406,f7491,f7492,f7135,f7513,f7514,f7515,f7517,f7138,f7528,f7529,f7530,f7532,f524,f7543,f7544,f7545,f7547,f7140,f7558,f7559,f7560,f7562,f7141,f7573,f7574,f7575,f7577,f7142,f7588,f7589,f7590,f75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9,f11611,f11612,f11613,f11614,f11615,f11616,f11617,f11624,f11619,f11620,f11621,f11625,f527,f11647,f11648,f11649,f11651,f11652,f11653,f11654,f11655,f11656,f11657,f11664,f11659,f11660,f11661,f11665,f528,f11688,f11689,f11690,f11692,f11693,f11694,f11695,f11696,f11697,f11698,f11705,f11700,f11701,f11702,f11706,f11725,f11727,f11734,f11737,f11726,f3235,f11747,f11748,f11749,f11751,f11752,f11753,f11754,f11755,f11756,f11757,f11764,f11759,f11760,f11761,f11765,f11730,f11766,f11768,f11775,f11778,f11771,f3236,f11798,f11799,f11800,f11802,f11803,f11804,f11805,f11806,f11807,f11808,f11815,f11810,f11811,f11812,f11816,f3237,f11845,f11846,f11847,f11849,f11850,f11851,f11852,f11853,f11854,f11855,f11862,f11857,f11858,f11859,f11863,f3881,f11903,f11900,f11902,f1191,f11944,f3387,f11994,f11979,f11995,f11982,f11983,f11984,f11986,f12000,f11988,f11990,f12003,f12004,f3451,f12051,f12036,f12052,f12039,f12040,f12041,f12043,f12057,f12045,f12047,f12060,f12061,f695,f12087]) ).
fof(f12087,plain,
( ~ relation(function_inverse(sK5))
| ~ function(function_inverse(sK5))
| apply(function_inverse(sK5),sK8(function_inverse(sK5))) = apply(function_inverse(sK5),sK9(function_inverse(sK5))) ),
inference(resolution,[],[f695,f122]) ).
fof(f695,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| apply(X0,sK8(X0)) = apply(X0,sK9(X0)) ),
inference(resolution,[],[f159,f214]) ).
fof(f12061,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK17)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f12049,f190]) ).
fof(f12049,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK17)) = X1
| ~ empty(X1)
| ~ function(sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3451,f189]) ).
fof(f12060,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK16)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f12048,f188]) ).
fof(f12048,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK16)) = X1
| ~ empty(X1)
| ~ function(sK16)
| ~ empty(X0) ),
inference(resolution,[],[f3451,f187]) ).
fof(f12047,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK15)) = X1
| ~ empty(X1)
| ~ function(sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3451,f186]) ).
fof(f12045,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK13)) = X1
| ~ empty(X1)
| ~ function(sK13)
| ~ empty(X0) ),
inference(resolution,[],[f3451,f183]) ).
fof(f12057,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,function_inverse(sK5)) = X1
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f12044,f120]) ).
fof(f12044,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK5)) = X1
| ~ empty(X1)
| ~ function(sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3451,f119]) ).
fof(f12043,plain,
! [X2,X0,X1] :
( relation_composition(X0,function_inverse(relation_rng(X1))) = X2
| ~ empty(X2)
| ~ function(relation_rng(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3451,f132]) ).
fof(f12041,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,function_inverse(relation_composition(X1,X2))) = X3
| ~ empty(X3)
| ~ function(relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3451,f170]) ).
fof(f12040,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,function_inverse(relation_composition(X1,X2))) = X3
| ~ empty(X3)
| ~ function(relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3451,f172]) ).
fof(f12039,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,function_inverse(relation_composition(X1,X2))) = X3
| ~ empty(X3)
| ~ function(relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f3451,f177]) ).
fof(f12052,plain,
! [X2,X0,X1] :
( relation_composition(X0,function_inverse(function_inverse(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(subsumption_resolution,[],[f12037,f138]) ).
fof(f12037,plain,
! [X2,X0,X1] :
( relation_composition(X0,function_inverse(function_inverse(X1))) = X2
| ~ empty(X2)
| ~ function(function_inverse(X1))
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f3451,f137]) ).
fof(f12036,plain,
! [X2,X0,X1] :
( relation_composition(X0,function_inverse(relation_dom(X1))) = X2
| ~ empty(X2)
| ~ function(relation_dom(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3451,f134]) ).
fof(f12051,plain,
! [X2,X0,X1] :
( relation_composition(X0,function_inverse(X1)) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(subsumption_resolution,[],[f12035,f128]) ).
fof(f12035,plain,
! [X2,X0,X1] :
( relation_composition(X0,function_inverse(X1)) = X2
| ~ empty(X2)
| ~ function(X1)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3451,f129]) ).
fof(f3451,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| relation_composition(X0,function_inverse(X1)) = X2
| ~ empty(X2)
| ~ function(X1)
| ~ empty(X0) ),
inference(resolution,[],[f328,f137]) ).
fof(f12004,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK17),X0) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f11992,f190]) ).
fof(f11992,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK17),X0) = X1
| ~ empty(X1)
| ~ function(sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3387,f189]) ).
fof(f12003,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK16),X0) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f11991,f188]) ).
fof(f11991,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK16),X0) = X1
| ~ empty(X1)
| ~ function(sK16)
| ~ empty(X0) ),
inference(resolution,[],[f3387,f187]) ).
fof(f11990,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK15),X0) = X1
| ~ empty(X1)
| ~ function(sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3387,f186]) ).
fof(f11988,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK13),X0) = X1
| ~ empty(X1)
| ~ function(sK13)
| ~ empty(X0) ),
inference(resolution,[],[f3387,f183]) ).
fof(f12000,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(function_inverse(sK5),X0) = X1
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f11987,f120]) ).
fof(f11987,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK5),X0) = X1
| ~ empty(X1)
| ~ function(sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3387,f119]) ).
fof(f11986,plain,
! [X2,X0,X1] :
( relation_composition(function_inverse(relation_rng(X0)),X1) = X2
| ~ empty(X2)
| ~ function(relation_rng(X0))
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3387,f132]) ).
fof(f11984,plain,
! [X2,X3,X0,X1] :
( relation_composition(function_inverse(relation_composition(X0,X1)),X2) = X3
| ~ empty(X3)
| ~ function(relation_composition(X0,X1))
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3387,f170]) ).
fof(f11983,plain,
! [X2,X3,X0,X1] :
( relation_composition(function_inverse(relation_composition(X0,X1)),X2) = X3
| ~ empty(X3)
| ~ function(relation_composition(X0,X1))
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3387,f172]) ).
fof(f11982,plain,
! [X2,X3,X0,X1] :
( relation_composition(function_inverse(relation_composition(X0,X1)),X2) = X3
| ~ empty(X3)
| ~ function(relation_composition(X0,X1))
| ~ empty(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f3387,f177]) ).
fof(f11995,plain,
! [X2,X0,X1] :
( relation_composition(function_inverse(function_inverse(X0)),X1) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f11980,f138]) ).
fof(f11980,plain,
! [X2,X0,X1] :
( relation_composition(function_inverse(function_inverse(X0)),X1) = X2
| ~ empty(X2)
| ~ function(function_inverse(X0))
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f3387,f137]) ).
fof(f11979,plain,
! [X2,X0,X1] :
( relation_composition(function_inverse(relation_dom(X0)),X1) = X2
| ~ empty(X2)
| ~ function(relation_dom(X0))
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3387,f134]) ).
fof(f11994,plain,
! [X2,X0,X1] :
( relation_composition(function_inverse(X0),X1) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f11978,f128]) ).
fof(f11978,plain,
! [X2,X0,X1] :
( relation_composition(function_inverse(X0),X1) = X2
| ~ empty(X2)
| ~ function(X0)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3387,f129]) ).
fof(f3387,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| relation_composition(function_inverse(X1),X0) = X2
| ~ empty(X2)
| ~ function(X1)
| ~ empty(X0) ),
inference(resolution,[],[f320,f137]) ).
fof(f11944,plain,
! [X0] :
( in(apply(X0,sK10(relation_dom(X0))),relation_rng(X0))
| empty(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0) ),
inference(resolution,[],[f1191,f1154]) ).
fof(f1191,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| in(apply(X0,sK10(relation_dom(X0))),relation_rng(X0))
| empty(relation_dom(X0)) ),
inference(resolution,[],[f197,f316]) ).
fof(f11902,plain,
! [X0,X1] :
( ~ in(relation_rng(sK17),apply(X0,X1))
| ~ sP1(X0,function_inverse(sK17))
| ~ in(X1,relation_rng(function_inverse(sK17))) ),
inference(superposition,[],[f3881,f10389]) ).
fof(f11900,plain,
! [X0,X1] :
( ~ in(relation_rng(sK5),apply(X0,X1))
| ~ sP1(X0,function_inverse(sK5))
| ~ in(X1,relation_rng(function_inverse(sK5))) ),
inference(superposition,[],[f3881,f10387]) ).
fof(f11903,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| ~ in(empty_set,apply(X0,X1))
| ~ sP1(X0,empty_set) ),
inference(forward_demodulation,[],[f11899,f219]) ).
fof(f11899,plain,
! [X0,X1] :
( ~ in(empty_set,apply(X0,X1))
| ~ sP1(X0,empty_set)
| ~ in(X1,relation_rng(empty_set)) ),
inference(superposition,[],[f3881,f232]) ).
fof(f3881,plain,
! [X2,X0,X1] :
( ~ in(relation_dom(X1),apply(X2,X0))
| ~ sP1(X2,X1)
| ~ in(X0,relation_rng(X1)) ),
inference(resolution,[],[f1422,f166]) ).
fof(f11863,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(empty_set,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f11860,f205]) ).
fof(f11860,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK18,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3237,f192]) ).
fof(f11859,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK17,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3237,f189]) ).
fof(f11858,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK16,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3237,f187]) ).
fof(f11857,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK15,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3237,f186]) ).
fof(f11862,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(empty_set,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f11856,f204]) ).
fof(f11856,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK14,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3237,f185]) ).
fof(f11855,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK13,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3237,f183]) ).
fof(f11854,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK5,X1)) ),
inference(resolution,[],[f3237,f119]) ).
fof(f11853,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(relation_rng(X1),X2))
| ~ empty(X0)
| ~ empty(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3237,f132]) ).
fof(f11852,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(empty_set,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3237,f125]) ).
fof(f11851,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(relation_composition(X1,X2),X3))
| ~ empty(X0)
| ~ empty(X3)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3237,f170]) ).
fof(f11850,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(relation_composition(X1,X2),X3))
| ~ empty(X0)
| ~ empty(X3)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3237,f172]) ).
fof(f11849,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(relation_composition(X1,X2),X3))
| ~ empty(X0)
| ~ empty(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f3237,f177]) ).
fof(f11847,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(function_inverse(X1),X2))
| ~ empty(X0)
| ~ empty(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f3237,f137]) ).
fof(f11846,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(relation_dom(X1),X2))
| ~ empty(X0)
| ~ empty(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3237,f134]) ).
fof(f11845,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ empty(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3237,f129]) ).
fof(f3237,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f327,f170]) ).
fof(f11816,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f11813,f205]) ).
fof(f11813,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK18))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3236,f192]) ).
fof(f11812,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK17))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3236,f189]) ).
fof(f11811,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK16))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3236,f187]) ).
fof(f11810,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK15))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3236,f186]) ).
fof(f11815,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f11809,f204]) ).
fof(f11809,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK14))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3236,f185]) ).
fof(f11808,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK13))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3236,f183]) ).
fof(f11807,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(X1,sK5)) ),
inference(resolution,[],[f3236,f119]) ).
fof(f11806,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_rng(X2)))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3236,f132]) ).
fof(f11805,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3236,f125]) ).
fof(f11804,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_composition(X2,X3)))
| ~ empty(X0)
| ~ empty(X1)
| ~ relation(X2)
| ~ empty(X3) ),
inference(resolution,[],[f3236,f170]) ).
fof(f11803,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_composition(X2,X3)))
| ~ empty(X0)
| ~ empty(X1)
| ~ relation(X3)
| ~ empty(X2) ),
inference(resolution,[],[f3236,f172]) ).
fof(f11802,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_composition(X2,X3)))
| ~ empty(X0)
| ~ empty(X1)
| ~ relation(X3)
| ~ relation(X2) ),
inference(resolution,[],[f3236,f177]) ).
fof(f11800,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,function_inverse(X2)))
| ~ empty(X0)
| ~ empty(X1)
| ~ function(X2)
| ~ relation(X2) ),
inference(resolution,[],[f3236,f137]) ).
fof(f11799,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_dom(X2)))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3236,f134]) ).
fof(f11798,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3236,f129]) ).
fof(f3236,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f327,f172]) ).
fof(f11771,plain,
( ~ in(relation_rng(sK5),sK9(function_inverse(sK5)))
| spl19_1 ),
inference(resolution,[],[f11766,f166]) ).
fof(f11775,plain,
( sK9(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK9(function_inverse(sK5)))
| spl19_1 ),
inference(subsumption_resolution,[],[f11774,f119]) ).
fof(f11774,plain,
( sK9(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK9(function_inverse(sK5)))
| ~ relation(sK5)
| spl19_1 ),
inference(subsumption_resolution,[],[f11773,f120]) ).
fof(f11773,plain,
( sK9(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK9(function_inverse(sK5)))
| ~ function(sK5)
| ~ relation(sK5)
| spl19_1 ),
inference(subsumption_resolution,[],[f11769,f121]) ).
fof(f11769,plain,
( sK9(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK9(function_inverse(sK5)))
| ~ one_to_one(sK5)
| ~ function(sK5)
| ~ relation(sK5)
| spl19_1 ),
inference(resolution,[],[f11766,f176]) ).
fof(f11768,plain,
( ! [X0] :
( sK9(function_inverse(sK5)) = apply(sK5,apply(X0,sK9(function_inverse(sK5))))
| ~ sP1(X0,sK5) )
| spl19_1 ),
inference(resolution,[],[f11766,f2061]) ).
fof(f11766,plain,
( in(sK9(function_inverse(sK5)),relation_rng(sK5))
| spl19_1 ),
inference(subsumption_resolution,[],[f10394,f10407]) ).
fof(f11730,plain,
( ~ in(relation_rng(sK5),sK8(function_inverse(sK5)))
| spl19_1 ),
inference(resolution,[],[f11725,f166]) ).
fof(f11765,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ relation(X1) ),
inference(forward_demodulation,[],[f11762,f205]) ).
fof(f11762,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK18))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f3235,f192]) ).
fof(f11761,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK17))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f3235,f189]) ).
fof(f11760,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK16))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f3235,f187]) ).
fof(f11759,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK15))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f3235,f186]) ).
fof(f11764,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ relation(X1) ),
inference(forward_demodulation,[],[f11758,f204]) ).
fof(f11758,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK14))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f3235,f185]) ).
fof(f11757,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK13))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f3235,f183]) ).
fof(f11756,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(X1,sK5)) ),
inference(resolution,[],[f3235,f119]) ).
fof(f11755,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_rng(X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3235,f132]) ).
fof(f11754,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f3235,f125]) ).
fof(f11753,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_composition(X2,X3)))
| ~ empty(X0)
| ~ relation(X1)
| ~ relation(X2)
| ~ empty(X3) ),
inference(resolution,[],[f3235,f170]) ).
fof(f11752,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_composition(X2,X3)))
| ~ empty(X0)
| ~ relation(X1)
| ~ relation(X3)
| ~ empty(X2) ),
inference(resolution,[],[f3235,f172]) ).
fof(f11751,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_composition(X2,X3)))
| ~ empty(X0)
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2) ),
inference(resolution,[],[f3235,f177]) ).
fof(f11749,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,function_inverse(X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2) ),
inference(resolution,[],[f3235,f137]) ).
fof(f11748,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_dom(X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3235,f134]) ).
fof(f11747,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3235,f129]) ).
fof(f3235,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f327,f177]) ).
fof(f11726,plain,
( ! [X0] :
( ~ sP1(X0,sK5)
| ~ empty(relation_dom(sK5)) )
| spl19_1 ),
inference(resolution,[],[f11725,f3882]) ).
fof(f11734,plain,
( sK8(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK8(function_inverse(sK5)))
| spl19_1 ),
inference(subsumption_resolution,[],[f11733,f119]) ).
fof(f11733,plain,
( sK8(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK8(function_inverse(sK5)))
| ~ relation(sK5)
| spl19_1 ),
inference(subsumption_resolution,[],[f11732,f120]) ).
fof(f11732,plain,
( sK8(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK8(function_inverse(sK5)))
| ~ function(sK5)
| ~ relation(sK5)
| spl19_1 ),
inference(subsumption_resolution,[],[f11728,f121]) ).
fof(f11728,plain,
( sK8(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK8(function_inverse(sK5)))
| ~ one_to_one(sK5)
| ~ function(sK5)
| ~ relation(sK5)
| spl19_1 ),
inference(resolution,[],[f11725,f176]) ).
fof(f11727,plain,
( ! [X0] :
( sK8(function_inverse(sK5)) = apply(sK5,apply(X0,sK8(function_inverse(sK5))))
| ~ sP1(X0,sK5) )
| spl19_1 ),
inference(resolution,[],[f11725,f2061]) ).
fof(f11706,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f11703,f205]) ).
fof(f11703,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f192]) ).
fof(f11702,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f189]) ).
fof(f11701,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f187]) ).
fof(f11700,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f186]) ).
fof(f11705,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f11699,f204]) ).
fof(f11699,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK14,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f185]) ).
fof(f11698,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f183]) ).
fof(f11697,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_composition(sK5,X0),X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f119]) ).
fof(f11696,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(X0),X1),X2)
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f132]) ).
fof(f11695,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f125]) ).
fof(f11694,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),X2),X3)
| ~ empty(X3)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f528,f170]) ).
fof(f11693,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),X2),X3)
| ~ empty(X3)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f172]) ).
fof(f11692,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),X2),X3)
| ~ empty(X3)
| ~ empty(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f528,f177]) ).
fof(f11690,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(function_inverse(X0),X1),X2)
| ~ empty(X2)
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f528,f137]) ).
fof(f11689,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(X0),X1),X2)
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f134]) ).
fof(f11688,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),X2)
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f528,f129]) ).
fof(f528,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(relation_composition(X1,X2),X0)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f319,f170]) ).
fof(f11665,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f11662,f205]) ).
fof(f11662,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK18),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f527,f192]) ).
fof(f11661,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK17),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f527,f189]) ).
fof(f11660,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK16),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f527,f187]) ).
fof(f11659,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK15),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f527,f186]) ).
fof(f11664,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f11658,f204]) ).
fof(f11658,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK14),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f527,f185]) ).
fof(f11657,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK13),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f527,f183]) ).
fof(f11656,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_composition(X0,sK5),X1)
| ~ empty(X0) ),
inference(resolution,[],[f527,f119]) ).
fof(f11655,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_rng(X1)),X2)
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f527,f132]) ).
fof(f11654,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f527,f125]) ).
fof(f11653,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),X3)
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f527,f170]) ).
fof(f11652,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),X3)
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f527,f172]) ).
fof(f11651,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),X3)
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f527,f177]) ).
fof(f11649,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,function_inverse(X1)),X2)
| ~ empty(X2)
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f527,f137]) ).
fof(f11648,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_dom(X1)),X2)
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f527,f134]) ).
fof(f11647,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),X2)
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f527,f129]) ).
fof(f527,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| empty_set = relation_composition(relation_composition(X1,X2),X0)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f319,f172]) ).
fof(f11625,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f11622,f205]) ).
fof(f11622,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK18),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f526,f192]) ).
fof(f11621,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK17),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f526,f189]) ).
fof(f11620,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK16),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f526,f187]) ).
fof(f11619,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK15),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f526,f186]) ).
fof(f11624,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f11618,f204]) ).
fof(f11618,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK14),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f526,f185]) ).
fof(f11617,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK13),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f526,f183]) ).
fof(f11616,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_composition(relation_composition(X0,sK5),X1) ),
inference(resolution,[],[f526,f119]) ).
fof(f11615,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_rng(X1)),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f526,f132]) ).
fof(f11614,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f526,f125]) ).
fof(f11613,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),X3)
| ~ empty(X3)
| ~ relation(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f526,f170]) ).
fof(f11612,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),X3)
| ~ empty(X3)
| ~ relation(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f526,f172]) ).
fof(f11611,plain,
! [X2,X3,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),X3)
| ~ empty(X3)
| ~ relation(X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f526,f177]) ).
fof(f11609,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,function_inverse(X1)),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f526,f137]) ).
fof(f11608,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_dom(X1)),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f526,f134]) ).
fof(f11607,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f526,f129]) ).
fof(f526,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| empty_set = relation_composition(relation_composition(X1,X2),X0)
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f319,f177]) ).
fof(f11583,plain,
! [X2,X0,X1] :
( relation_rng(X2) = relation_composition(X0,relation_rng(X1))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3456,f131]) ).
fof(f11581,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,relation_rng(X1)) = relation_composition(X2,X3)
| ~ empty(X0)
| ~ empty(X1)
| ~ relation(X2)
| ~ empty(X3) ),
inference(resolution,[],[f3456,f169]) ).
fof(f11580,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,relation_rng(X1)) = relation_composition(X2,X3)
| ~ empty(X0)
| ~ empty(X1)
| ~ relation(X3)
| ~ empty(X2) ),
inference(resolution,[],[f3456,f171]) ).
fof(f11578,plain,
! [X2,X0,X1] :
( relation_dom(X2) = relation_composition(X0,relation_rng(X1))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3456,f133]) ).
fof(f3456,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| relation_composition(X0,relation_rng(X1)) = X2
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f328,f132]) ).
fof(f11557,plain,
! [X2,X0,X1] :
( relation_rng(X2) = relation_composition(X0,relation_dom(X1))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3450,f131]) ).
fof(f11555,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,relation_dom(X1)) = relation_composition(X2,X3)
| ~ empty(X0)
| ~ empty(X1)
| ~ relation(X2)
| ~ empty(X3) ),
inference(resolution,[],[f3450,f169]) ).
fof(f11554,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,relation_dom(X1)) = relation_composition(X2,X3)
| ~ empty(X0)
| ~ empty(X1)
| ~ relation(X3)
| ~ empty(X2) ),
inference(resolution,[],[f3450,f171]) ).
fof(f11552,plain,
! [X2,X0,X1] :
( relation_dom(X2) = relation_composition(X0,relation_dom(X1))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3450,f133]) ).
fof(f3450,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| relation_composition(X0,relation_dom(X1)) = X2
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f328,f134]) ).
fof(f11519,plain,
! [X2,X0,X1] :
( relation_rng(X2) = relation_composition(relation_rng(X0),X1)
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f3392,f131]) ).
fof(f11517,plain,
! [X2,X3,X0,X1] :
( relation_composition(relation_rng(X0),X1) = relation_composition(X2,X3)
| ~ empty(X1)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X3) ),
inference(resolution,[],[f3392,f169]) ).
fof(f11516,plain,
! [X2,X3,X0,X1] :
( relation_composition(relation_rng(X0),X1) = relation_composition(X2,X3)
| ~ empty(X1)
| ~ empty(X0)
| ~ relation(X3)
| ~ empty(X2) ),
inference(resolution,[],[f3392,f171]) ).
fof(f11514,plain,
! [X2,X0,X1] :
( relation_dom(X2) = relation_composition(relation_rng(X0),X1)
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f3392,f133]) ).
fof(f3392,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| relation_composition(relation_rng(X1),X0) = X2
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f320,f132]) ).
fof(f10432,plain,
( ~ relation(function_inverse(empty_set))
| empty(function_inverse(empty_set)) ),
inference(subsumption_resolution,[],[f10420,f123]) ).
fof(f10420,plain,
( ~ empty(empty_set)
| ~ relation(function_inverse(empty_set))
| empty(function_inverse(empty_set)) ),
inference(superposition,[],[f136,f10385]) ).
fof(f10463,plain,
! [X2,X0,X1] :
( relation_rng(X2) = relation_composition(relation_dom(X0),X1)
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f3386,f131]) ).
fof(f10461,plain,
! [X2,X3,X0,X1] :
( relation_composition(relation_dom(X0),X1) = relation_composition(X2,X3)
| ~ empty(X1)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X3) ),
inference(resolution,[],[f3386,f169]) ).
fof(f10460,plain,
! [X2,X3,X0,X1] :
( relation_composition(relation_dom(X0),X1) = relation_composition(X2,X3)
| ~ empty(X1)
| ~ empty(X0)
| ~ relation(X3)
| ~ empty(X2) ),
inference(resolution,[],[f3386,f171]) ).
fof(f10459,plain,
! [X2,X0,X1] :
( relation_dom(X2) = relation_composition(relation_dom(X0),X1)
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f3386,f133]) ).
fof(f3386,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| relation_composition(relation_dom(X1),X0) = X2
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f320,f134]) ).
fof(f10436,plain,
( empty(relation_rng(sK17))
| ~ empty(function_inverse(sK17)) ),
inference(superposition,[],[f133,f10389]) ).
fof(f10449,plain,
! [X0] :
( relation_rng(X0) != relation_rng(sK17)
| sP1(function_inverse(sK17),X0)
| sK6(function_inverse(sK17),X0) = apply(X0,sK7(function_inverse(sK17),X0))
| sK7(function_inverse(sK17),X0) = apply(function_inverse(sK17),sK6(function_inverse(sK17),X0)) ),
inference(superposition,[],[f2766,f10389]) ).
fof(f10448,plain,
! [X0] :
( in(sK7(X0,function_inverse(sK17)),relation_rng(sK17))
| sP1(X0,function_inverse(sK17))
| relation_dom(X0) != relation_rng(function_inverse(sK17))
| in(sK6(X0,function_inverse(sK17)),relation_rng(function_inverse(sK17))) ),
inference(superposition,[],[f2539,f10389]) ).
fof(f10447,plain,
! [X0] :
( in(sK7(X0,function_inverse(sK17)),relation_rng(sK17))
| sP1(X0,function_inverse(sK17))
| relation_dom(X0) != relation_rng(function_inverse(sK17))
| sK7(X0,function_inverse(sK17)) = apply(X0,sK6(X0,function_inverse(sK17))) ),
inference(superposition,[],[f2538,f10389]) ).
fof(f10446,plain,
! [X0,X1] :
( in(apply(X0,X1),relation_rng(sK17))
| ~ in(X1,relation_rng(function_inverse(sK17)))
| ~ sP1(X0,function_inverse(sK17)) ),
inference(superposition,[],[f1422,f10389]) ).
fof(f10445,plain,
( ~ in(relation_rng(sK17),sK9(function_inverse(sK17)))
| sP3(function_inverse(sK17)) ),
inference(superposition,[],[f250,f10389]) ).
fof(f10444,plain,
( ~ empty(relation_rng(sK17))
| sP3(function_inverse(sK17)) ),
inference(superposition,[],[f245,f10389]) ).
fof(f10443,plain,
( ~ in(relation_rng(sK17),sK8(function_inverse(sK17)))
| sP3(function_inverse(sK17)) ),
inference(superposition,[],[f244,f10389]) ).
fof(f10442,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(sK17))
| in(apply(function_inverse(sK17),X0),relation_rng(function_inverse(sK17)))
| ~ sP1(X1,function_inverse(sK17)) ),
inference(superposition,[],[f197,f10389]) ).
fof(f10441,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(sK17))
| apply(X1,apply(function_inverse(sK17),X0)) = X0
| ~ sP1(X1,function_inverse(sK17)) ),
inference(superposition,[],[f196,f10389]) ).
fof(f10440,plain,
( in(sK9(function_inverse(sK17)),relation_rng(sK17))
| sP3(function_inverse(sK17)) ),
inference(superposition,[],[f158,f10389]) ).
fof(f10439,plain,
( in(sK8(function_inverse(sK17)),relation_rng(sK17))
| sP3(function_inverse(sK17)) ),
inference(superposition,[],[f157,f10389]) ).
fof(f10438,plain,
( ~ empty(relation_rng(sK17))
| ~ relation(function_inverse(sK17))
| empty(function_inverse(sK17)) ),
inference(superposition,[],[f136,f10389]) ).
fof(f10437,plain,
( relation(relation_rng(sK17))
| ~ empty(function_inverse(sK17)) ),
inference(superposition,[],[f134,f10389]) ).
fof(f10389,plain,
relation_rng(sK17) = relation_dom(function_inverse(sK17)),
inference(subsumption_resolution,[],[f10388,f190]) ).
fof(f10388,plain,
( ~ function(sK17)
| relation_rng(sK17) = relation_dom(function_inverse(sK17)) ),
inference(subsumption_resolution,[],[f10380,f189]) ).
fof(f10380,plain,
( ~ relation(sK17)
| ~ function(sK17)
| relation_rng(sK17) = relation_dom(function_inverse(sK17)) ),
inference(resolution,[],[f3260,f191]) ).
fof(f10435,plain,
( ~ relation(function_inverse(empty_set))
| ~ function(function_inverse(empty_set))
| one_to_one(function_inverse(empty_set)) ),
inference(resolution,[],[f10433,f214]) ).
fof(f10433,plain,
sP3(function_inverse(empty_set)),
inference(subsumption_resolution,[],[f10426,f123]) ).
fof(f10426,plain,
( ~ empty(empty_set)
| sP3(function_inverse(empty_set)) ),
inference(superposition,[],[f245,f10385]) ).
fof(f10431,plain,
! [X0] :
( empty_set != relation_rng(X0)
| sP1(function_inverse(empty_set),X0)
| sK6(function_inverse(empty_set),X0) = apply(X0,sK7(function_inverse(empty_set),X0))
| sK7(function_inverse(empty_set),X0) = apply(function_inverse(empty_set),sK6(function_inverse(empty_set),X0)) ),
inference(superposition,[],[f2766,f10385]) ).
fof(f10430,plain,
! [X0] :
( in(sK7(X0,function_inverse(empty_set)),empty_set)
| sP1(X0,function_inverse(empty_set))
| relation_dom(X0) != relation_rng(function_inverse(empty_set))
| in(sK6(X0,function_inverse(empty_set)),relation_rng(function_inverse(empty_set))) ),
inference(superposition,[],[f2539,f10385]) ).
fof(f10429,plain,
! [X0] :
( in(sK7(X0,function_inverse(empty_set)),empty_set)
| sP1(X0,function_inverse(empty_set))
| relation_dom(X0) != relation_rng(function_inverse(empty_set))
| sK7(X0,function_inverse(empty_set)) = apply(X0,sK6(X0,function_inverse(empty_set))) ),
inference(superposition,[],[f2538,f10385]) ).
fof(f10428,plain,
! [X0,X1] :
( in(apply(X0,X1),empty_set)
| ~ in(X1,relation_rng(function_inverse(empty_set)))
| ~ sP1(X0,function_inverse(empty_set)) ),
inference(superposition,[],[f1422,f10385]) ).
fof(f10434,plain,
sP3(function_inverse(empty_set)),
inference(global_subsumption,[],[f124,f127,f126,f164,f201,f173,f119,f120,f121,f123,f125,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f122,f128,f129,f165,f130,f203,f204,f205,f209,f131,f132,f133,f134,f179,f154,f155,f161,f166,f216,f217,f212,f224,f225,f226,f219,f135,f213,f237,f238,f239,f232,f136,f137,f138,f157,f246,f245,f249,f158,f247,f160,f178,f244,f250,f218,f220,f231,f233,f141,f142,f168,f316,f317,f169,f323,f324,f325,f326,f170,f171,f331,f332,f333,f334,f172,f177,f195,f214,f338,f150,f215,f253,f255,f264,f372,f373,f266,f391,f392,f277,f410,f411,f279,f429,f430,f290,f448,f449,f292,f467,f468,f303,f486,f487,f305,f505,f506,f140,f319,f526,f527,f528,f538,f539,f531,f548,f549,f550,f543,f540,f557,f558,f544,f572,f573,f556,f587,f588,f560,f606,f607,f571,f625,f626,f151,f575,f644,f645,f529,f663,f664,f670,f671,f672,f665,f532,f680,f681,f687,f688,f689,f682,f159,f695,f534,f697,f698,f704,f705,f706,f699,f535,f713,f714,f720,f721,f722,f715,f536,f729,f730,f736,f737,f738,f198,f731,f586,f745,f746,f590,f768,f769,f605,f791,f792,f609,f814,f815,f624,f837,f838,f628,f860,f861,f643,f883,f884,f647,f906,f907,f662,f929,f930,f666,f944,f945,f679,f959,f960,f683,f974,f975,f696,f989,f990,f700,f1004,f1005,f712,f1019,f1020,f716,f1034,f1035,f174,f728,f1056,f1057,f732,f1071,f1072,f541,f1086,f1087,f1088,f1089,f1090,f1092,f1100,f1101,f1091,f1103,f1104,f1093,f1118,f1119,f1125,f1126,f1127,f1120,f1094,f1135,f1136,f1142,f1143,f1144,f1137,f153,f1096,f1156,f1157,f1163,f1164,f1165,f1158,f1097,f1173,f1174,f1180,f1181,f1182,f1175,f197,f1191,f1193,f1098,f1195,f1196,f1202,f1203,f1204,f1197,f1102,f1212,f1213,f1106,f1231,f1232,f196,f1251,f1252,f1117,f1254,f1255,f1121,f1269,f1270,f1134,f1284,f1285,f1138,f1299,f1300,f1155,f1314,f1315,f1159,f1329,f1330,f1172,f1344,f1345,f1176,f1359,f1360,f1194,f1374,f1375,f1198,f1389,f1390,f542,f1403,f1404,f1405,f1406,f1407,f1408,f1410,f1418,f1419,f200,f1409,f1424,f1425,f1411,f1439,f1440,f1412,f1454,f1455,f1414,f1469,f1470,f1415,f1484,f1485,f1416,f1499,f1500,f1423,f1514,f1515,f1427,f1533,f1534,f1438,f1552,f1553,f175,f1570,f1574,f1442,f1576,f1577,f1453,f1595,f1596,f1457,f1614,f1615,f1468,f1633,f1634,f1472,f1652,f1653,f1483,f1671,f1672,f1487,f1690,f1691,f1498,f1709,f1710,f1502,f1728,f1729,f1085,f1746,f1747,f1748,f1750,f176,f1757,f1761,f744,f1762,f1763,f1764,f1766,f748,f1789,f1790,f1791,f1793,f767,f1816,f1817,f1818,f1820,f771,f1843,f1844,f1845,f1847,f790,f1870,f1871,f1872,f1874,f794,f1897,f1898,f1899,f1901,f813,f1924,f1925,f1926,f1928,f817,f1951,f1952,f1953,f1955,f836,f1978,f1979,f1980,f1982,f840,f2005,f2006,f2007,f2009,f859,f2032,f2033,f2034,f2036,f199,f863,f2062,f2063,f2064,f2066,f882,f2089,f2090,f2091,f2093,f886,f2116,f2117,f2118,f2120,f905,f2143,f2144,f2145,f2147,f909,f2170,f2171,f2172,f2174,f1211,f2197,f2198,f2199,f2201,f1215,f2220,f2221,f2222,f2224,f1230,f2243,f2244,f2245,f2247,f1234,f2266,f2267,f2268,f2270,f1253,f2289,f2290,f2291,f2293,f1257,f2308,f2309,f2310,f2312,f156,f1268,f2329,f2330,f2331,f2333,f1272,f2348,f2349,f2350,f2352,f1283,f2367,f2368,f2369,f2371,f1287,f2386,f2387,f2388,f2390,f1298,f2405,f2406,f2407,f2409,f1302,f2424,f2425,f2426,f2428,f1313,f2443,f2444,f2445,f2447,f1317,f2462,f2463,f2464,f2466,f1328,f2481,f2482,f2483,f2485,f1332,f2500,f2501,f2502,f2504,f1343,f2519,f2520,f2521,f2523,f145,f1347,f2541,f2542,f2543,f2545,f1358,f2560,f2561,f2562,f2564,f1362,f2579,f2580,f2581,f2583,f1373,f2598,f2599,f2600,f2602,f1377,f2617,f2618,f2619,f2621,f1388,f2636,f2637,f2638,f2640,f1392,f2655,f2656,f2657,f2659,f1513,f2674,f2675,f2676,f2678,f1517,f2697,f2698,f2699,f2701,f1532,f2720,f2721,f2722,f2724,f1536,f2743,f2744,f2745,f2747,f146,f1551,f2769,f2770,f2771,f2773,f1555,f2792,f2793,f2794,f2796,f1575,f2815,f2816,f2817,f2819,f1579,f2838,f2839,f2840,f2842,f1594,f2861,f2862,f2863,f2865,f1598,f2884,f2885,f2886,f2888,f1613,f2907,f2908,f2909,f2911,f1617,f2930,f2931,f2932,f2934,f1632,f2953,f2954,f2955,f2957,f1636,f2976,f2977,f2978,f2980,f1651,f2999,f3000,f3001,f3003,f147,f1655,f3025,f3026,f3027,f3029,f1670,f3048,f3049,f3050,f3052,f1674,f3071,f3072,f3073,f3075,f1689,f3094,f3095,f3096,f3098,f1693,f3117,f3118,f3119,f3121,f1708,f3140,f3141,f3142,f3144,f1712,f3163,f3164,f3165,f3167,f1727,f3186,f3187,f3188,f3190,f1731,f3209,f3210,f3211,f3213,f327,f3232,f3235,f3236,f3237,f3247,f3248,f3240,f3257,f3258,f3259,f1154,f3252,f3249,f3269,f3270,f3253,f3284,f3285,f3268,f3299,f3300,f3272,f3318,f3319,f3283,f3337,f3338,f3287,f3356,f3357,f3238,f3375,f3376,f320,f3386,f3387,f3388,f3389,f3390,f3392,f3400,f3401,f3393,f3403,f3404,f3241,f3414,f3415,f3421,f3422,f3423,f3416,f3243,f3432,f3433,f3439,f3440,f3441,f3434,f328,f3449,f3450,f3451,f3452,f3453,f3454,f3456,f3464,f3465,f3457,f3467,f3468,f3244,f3478,f3479,f3485,f3486,f3487,f3480,f3245,f3496,f3497,f3503,f3504,f3505,f3498,f1189,f3402,f3515,f3516,f3406,f3530,f3531,f3466,f3545,f3546,f3470,f3560,f3561,f3298,f3575,f3576,f3302,f3598,f3599,f3317,f3621,f3622,f3321,f3644,f3645,f3336,f3667,f3668,f1190,f3340,f3691,f3692,f3355,f3714,f3715,f3359,f3737,f3738,f3374,f3760,f3761,f3378,f3775,f3776,f3413,f3790,f3791,f3417,f3805,f3806,f3431,f3820,f3821,f3435,f3835,f3836,f3477,f3850,f3851,f3481,f3865,f3866,f1422,f3879,f3880,f3881,f3884,f3495,f3886,f3887,f3499,f3901,f3902,f3250,f3916,f3917,f3918,f3919,f3920,f3922,f3930,f3931,f3921,f3933,f3934,f3923,f3948,f3949,f3924,f3963,f3964,f3926,f3978,f3979,f3927,f3993,f3994,f3928,f4008,f4009,f1249,f3932,f4024,f4025,f3936,f4043,f4044,f3947,f4062,f4063,f3951,f4081,f4082,f3962,f4100,f4101,f3966,f4119,f4120,f3977,f4138,f4139,f3981,f4157,f4158,f3992,f4176,f4177,f3996,f4195,f4196,f4007,f4214,f4215,f1250,f4011,f4234,f4235,f3251,f4252,f4253,f4254,f4255,f4256,f4257,f4259,f4267,f4268,f4258,f4270,f4271,f4260,f4285,f4286,f4261,f4300,f4301,f4263,f4315,f4316,f4264,f4330,f4331,f4265,f4345,f4346,f4269,f4360,f4361,f2061,f4378,f4379,f4273,f4381,f4382,f4284,f4400,f4401,f4288,f4419,f4420,f4299,f4438,f4439,f4303,f4457,f4458,f4314,f4476,f4477,f4318,f4495,f4496,f4329,f4514,f4515,f4333,f4533,f4534,f4344,f4552,f4553,f4348,f4571,f4572,f1152,f3514,f4591,f4592,f4593,f4595,f3518,f4610,f4611,f4612,f4614,f3529,f4629,f4630,f4631,f4633,f3533,f4648,f4649,f4650,f4652,f3544,f4667,f4668,f4669,f4671,f3548,f4686,f4687,f4688,f4690,f3559,f4705,f4706,f4707,f4709,f3563,f4724,f4725,f4726,f4728,f3915,f4743,f4744,f4745,f4747,f3574,f4754,f4755,f4756,f4758,f2539,f4781,f4782,f4783,f4784,f4787,f3578,f4788,f4789,f4790,f4792,f3597,f4815,f4816,f4817,f4819,f3601,f4842,f4843,f4844,f4846,f3620,f4869,f4870,f4871,f4873,f3624,f4896,f4897,f4898,f4900,f3643,f4923,f4924,f4925,f4927,f3647,f4950,f4951,f4952,f4954,f3666,f4977,f4978,f4979,f4981,f3670,f5004,f5005,f5006,f5008,f3690,f5031,f5032,f5033,f5035,f3694,f5058,f5059,f5060,f5062,f2538,f5085,f5086,f5087,f5088,f5090,f3713,f5091,f5092,f5093,f5095,f3717,f5118,f5119,f5120,f5122,f3736,f5145,f5146,f5147,f5149,f3740,f5172,f5173,f5174,f5176,f4023,f5199,f5200,f5201,f5203,f4027,f5222,f5223,f5224,f5226,f4042,f5245,f5246,f5247,f5249,f4046,f5268,f5269,f5270,f5272,f4061,f5291,f5292,f5293,f5295,f4065,f5314,f5315,f5316,f5318,f4080,f5337,f5338,f5339,f5341,f2767,f5360,f5361,f5362,f5363,f5364,f5366,f4084,f5367,f5368,f5369,f5371,f4099,f5390,f5391,f5392,f5394,f4103,f5413,f5414,f5415,f5417,f4118,f5436,f5437,f5438,f5440,f4122,f5459,f5460,f5461,f5463,f4137,f5482,f5483,f5484,f5486,f4141,f5505,f5506,f5507,f5509,f4156,f5528,f5529,f5530,f5532,f4160,f5551,f5552,f5553,f5555,f4175,f5574,f5575,f5576,f5578,f4179,f5597,f5598,f5599,f5601,f2766,f5620,f4194,f5621,f5622,f5623,f5625,f4198,f5644,f5645,f5646,f5648,f4213,f5667,f5668,f5669,f5671,f4217,f5690,f5691,f5692,f5694,f4233,f5713,f5714,f5715,f5717,f4237,f5736,f5737,f5738,f5740,f4359,f5759,f5760,f5761,f5763,f4363,f5782,f5783,f5784,f5786,f4380,f5805,f5806,f5807,f5809,f4384,f5828,f5829,f5830,f5832,f4399,f5851,f5852,f5853,f5855,f341,f5874,f5875,f5876,f5878,f4403,f5893,f5894,f5895,f5897,f4418,f5916,f5917,f5918,f5920,f4422,f5939,f5940,f5941,f5943,f4437,f5962,f5963,f5964,f5966,f4441,f5985,f5986,f5987,f5989,f4456,f6008,f6009,f6010,f6012,f4460,f6031,f6032,f6033,f6035,f4475,f6054,f6055,f6056,f6058,f4479,f6077,f6078,f6079,f6081,f4494,f6100,f6101,f6102,f6104,f4498,f6123,f6124,f6125,f6127,f345,f6146,f6147,f6148,f6150,f4513,f6165,f6166,f6167,f6169,f4517,f6188,f6189,f6190,f6192,f4532,f6211,f6212,f6213,f6215,f4536,f6234,f6235,f6236,f6238,f4551,f6257,f6258,f6259,f6261,f4555,f6280,f6281,f6282,f6284,f4570,f6303,f6304,f6305,f6307,f4574,f6326,f6327,f6328,f6330,f356,f6349,f6350,f6351,f6353,f360,f6368,f6369,f6370,f6372,f523,f6387,f6388,f6389,f6391,f3391,f6398,f6399,f6400,f6402,f3394,f6409,f6410,f6411,f6413,f3396,f6420,f6421,f6422,f6424,f3397,f6431,f6432,f6433,f6435,f3398,f6442,f6443,f6444,f6446,f3455,f6453,f6454,f6455,f6457,f3458,f6464,f6465,f6466,f6468,f3460,f6475,f6476,f6477,f6479,f3461,f6486,f6487,f6488,f6490,f3462,f6497,f6498,f6499,f6501,f371,f6508,f6509,f6510,f6512,f375,f6531,f6532,f6533,f6535,f390,f6554,f6555,f6556,f6558,f394,f6577,f6578,f6579,f6581,f409,f6600,f6601,f6602,f6604,f413,f6623,f6624,f6625,f6627,f428,f6646,f6647,f6648,f6650,f432,f6669,f6670,f6671,f6673,f447,f6692,f6693,f6694,f6696,f321,f6715,f6716,f6717,f6718,f6719,f6720,f6722,f6730,f6731,f6723,f6733,f6734,f6732,f6748,f6749,f6736,f6767,f6768,f6747,f6786,f6787,f6751,f6809,f6810,f6766,f6832,f6833,f6770,f6855,f6856,f6721,f6878,f6879,f6724,f6893,f6894,f6726,f6908,f6909,f6727,f6923,f6924,f322,f6937,f6938,f6939,f6940,f6941,f6942,f6944,f6952,f6953,f6945,f6955,f6956,f6954,f6970,f6971,f6958,f6989,f6990,f6969,f7008,f7009,f6973,f7031,f7032,f6988,f7054,f7055,f6992,f7077,f7078,f6728,f7100,f7101,f6943,f7115,f7116,f329,f7129,f7130,f7131,f7132,f7133,f7134,f7136,f7144,f7145,f7137,f7147,f7148,f7146,f7162,f7163,f7150,f7181,f7182,f7161,f7200,f7201,f7165,f7223,f7224,f7180,f7246,f7247,f7184,f7269,f7270,f6946,f7292,f7293,f6948,f7307,f7308,f6949,f7322,f7323,f7325,f6950,f7336,f7337,f7338,f7340,f330,f7351,f7352,f7353,f7354,f7355,f7356,f7358,f7366,f7367,f7359,f7369,f7370,f7368,f7384,f7385,f7372,f7403,f7404,f7383,f7422,f7423,f7387,f7445,f7446,f7402,f7468,f7469,f7406,f7491,f7492,f7135,f7513,f7514,f7515,f7517,f7138,f7528,f7529,f7530,f7532,f524,f7543,f7544,f7545,f7547,f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).
fof(f10427,plain,
( ~ in(empty_set,sK9(function_inverse(empty_set)))
| sP3(function_inverse(empty_set)) ),
inference(superposition,[],[f250,f10385]) ).
fof(f10425,plain,
( ~ in(empty_set,sK8(function_inverse(empty_set)))
| sP3(function_inverse(empty_set)) ),
inference(superposition,[],[f244,f10385]) ).
fof(f10424,plain,
! [X0,X1] :
( ~ in(X0,empty_set)
| in(apply(function_inverse(empty_set),X0),relation_rng(function_inverse(empty_set)))
| ~ sP1(X1,function_inverse(empty_set)) ),
inference(superposition,[],[f197,f10385]) ).
fof(f10423,plain,
! [X0,X1] :
( ~ in(X0,empty_set)
| apply(X1,apply(function_inverse(empty_set),X0)) = X0
| ~ sP1(X1,function_inverse(empty_set)) ),
inference(superposition,[],[f196,f10385]) ).
fof(f10422,plain,
( in(sK9(function_inverse(empty_set)),empty_set)
| sP3(function_inverse(empty_set)) ),
inference(superposition,[],[f158,f10385]) ).
fof(f10421,plain,
( in(sK8(function_inverse(empty_set)),empty_set)
| sP3(function_inverse(empty_set)) ),
inference(superposition,[],[f157,f10385]) ).
fof(f10385,plain,
empty_set = relation_dom(function_inverse(empty_set)),
inference(forward_demodulation,[],[f10384,f219]) ).
fof(f10384,plain,
relation_rng(empty_set) = relation_dom(function_inverse(empty_set)),
inference(subsumption_resolution,[],[f10383,f209]) ).
fof(f10383,plain,
( ~ function(empty_set)
| relation_rng(empty_set) = relation_dom(function_inverse(empty_set)) ),
inference(subsumption_resolution,[],[f10378,f125]) ).
fof(f10378,plain,
( ~ relation(empty_set)
| ~ function(empty_set)
| relation_rng(empty_set) = relation_dom(function_inverse(empty_set)) ),
inference(resolution,[],[f3260,f338]) ).
fof(f10414,plain,
( apply(function_inverse(sK5),sK8(function_inverse(sK5))) = apply(function_inverse(sK5),sK9(function_inverse(sK5)))
| spl19_1 ),
inference(resolution,[],[f10407,f159]) ).
fof(f10398,plain,
( ~ empty(relation_rng(sK5))
| sP3(function_inverse(sK5)) ),
inference(superposition,[],[f245,f10387]) ).
fof(f10403,plain,
! [X0] :
( relation_rng(X0) != relation_rng(sK5)
| sP1(function_inverse(sK5),X0)
| sK6(function_inverse(sK5),X0) = apply(X0,sK7(function_inverse(sK5),X0))
| sK7(function_inverse(sK5),X0) = apply(function_inverse(sK5),sK6(function_inverse(sK5),X0)) ),
inference(superposition,[],[f2766,f10387]) ).
fof(f10402,plain,
! [X0] :
( in(sK7(X0,function_inverse(sK5)),relation_rng(sK5))
| sP1(X0,function_inverse(sK5))
| relation_dom(X0) != relation_rng(function_inverse(sK5))
| in(sK6(X0,function_inverse(sK5)),relation_rng(function_inverse(sK5))) ),
inference(superposition,[],[f2539,f10387]) ).
fof(f10401,plain,
! [X0] :
( in(sK7(X0,function_inverse(sK5)),relation_rng(sK5))
| sP1(X0,function_inverse(sK5))
| relation_dom(X0) != relation_rng(function_inverse(sK5))
| sK7(X0,function_inverse(sK5)) = apply(X0,sK6(X0,function_inverse(sK5))) ),
inference(superposition,[],[f2538,f10387]) ).
fof(f10400,plain,
! [X0,X1] :
( in(apply(X0,X1),relation_rng(sK5))
| ~ in(X1,relation_rng(function_inverse(sK5)))
| ~ sP1(X0,function_inverse(sK5)) ),
inference(superposition,[],[f1422,f10387]) ).
fof(f10399,plain,
( ~ in(relation_rng(sK5),sK9(function_inverse(sK5)))
| sP3(function_inverse(sK5)) ),
inference(superposition,[],[f250,f10387]) ).
fof(f10397,plain,
( ~ in(relation_rng(sK5),sK8(function_inverse(sK5)))
| sP3(function_inverse(sK5)) ),
inference(superposition,[],[f244,f10387]) ).
fof(f10396,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(sK5))
| in(apply(function_inverse(sK5),X0),relation_rng(function_inverse(sK5)))
| ~ sP1(X1,function_inverse(sK5)) ),
inference(superposition,[],[f197,f10387]) ).
fof(f10395,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(sK5))
| apply(X1,apply(function_inverse(sK5),X0)) = X0
| ~ sP1(X1,function_inverse(sK5)) ),
inference(superposition,[],[f196,f10387]) ).
fof(f10394,plain,
( in(sK9(function_inverse(sK5)),relation_rng(sK5))
| sP3(function_inverse(sK5)) ),
inference(superposition,[],[f158,f10387]) ).
fof(f10404,plain,
( ~ empty(relation_rng(sK5))
| ~ relation(function_inverse(sK5)) ),
inference(subsumption_resolution,[],[f10392,f217]) ).
fof(f10392,plain,
( ~ empty(relation_rng(sK5))
| ~ relation(function_inverse(sK5))
| empty(function_inverse(sK5)) ),
inference(superposition,[],[f136,f10387]) ).
fof(f10382,plain,
! [X0] :
( ~ empty(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0)) ),
inference(subsumption_resolution,[],[f10381,f129]) ).
fof(f10381,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f10377,f128]) ).
fof(f10377,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ empty(X0) ),
inference(resolution,[],[f3260,f216]) ).
fof(f10362,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f10290,f131]) ).
fof(f10360,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10290,f169]) ).
fof(f10359,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10290,f171]) ).
fof(f10358,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f10290,f133]) ).
fof(f10290,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),function_inverse(sK5)) ),
inference(resolution,[],[f10258,f131]) ).
fof(f10343,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f10286,f131]) ).
fof(f10341,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10286,f169]) ).
fof(f10340,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10286,f171]) ).
fof(f10339,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f10286,f133]) ).
fof(f10286,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),function_inverse(sK5)) ),
inference(resolution,[],[f10258,f133]) ).
fof(f10324,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f10275,f131]) ).
fof(f10322,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10275,f169]) ).
fof(f10321,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10275,f171]) ).
fof(f10320,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f10275,f133]) ).
fof(f10275,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),function_inverse(sK5)) ),
inference(resolution,[],[f10254,f131]) ).
fof(f10305,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f10271,f131]) ).
fof(f10303,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10271,f169]) ).
fof(f10302,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10271,f171]) ).
fof(f10301,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f10271,f133]) ).
fof(f10271,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),function_inverse(sK5)) ),
inference(resolution,[],[f10254,f133]) ).
fof(f10288,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10258,f169]) ).
fof(f10287,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10258,f171]) ).
fof(f10258,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),function_inverse(sK5)) ),
inference(resolution,[],[f10246,f131]) ).
fof(f10273,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10254,f169]) ).
fof(f10272,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10254,f171]) ).
fof(f10254,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),function_inverse(sK5)) ),
inference(resolution,[],[f10246,f133]) ).
fof(f10257,plain,
empty_set = relation_composition(empty_set,function_inverse(sK5)),
inference(resolution,[],[f10246,f123]) ).
fof(f10264,plain,
empty_set = relation_composition(empty_set,function_inverse(sK5)),
inference(forward_demodulation,[],[f10261,f205]) ).
fof(f10261,plain,
empty_set = relation_composition(sK18,function_inverse(sK5)),
inference(resolution,[],[f10246,f193]) ).
fof(f10263,plain,
empty_set = relation_composition(empty_set,function_inverse(sK5)),
inference(forward_demodulation,[],[f10260,f204]) ).
fof(f10260,plain,
empty_set = relation_composition(sK14,function_inverse(sK5)),
inference(resolution,[],[f10246,f184]) ).
fof(f10262,plain,
empty_set = relation_composition(empty_set,function_inverse(sK5)),
inference(forward_demodulation,[],[f10259,f203]) ).
fof(f10259,plain,
empty_set = relation_composition(sK12,function_inverse(sK5)),
inference(resolution,[],[f10246,f181]) ).
fof(f10256,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(relation_composition(X0,X1),function_inverse(sK5))
| ~ empty(X1) ),
inference(resolution,[],[f10246,f169]) ).
fof(f10255,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(relation_composition(X0,X1),function_inverse(sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10246,f171]) ).
fof(f10246,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,function_inverse(sK5)) ),
inference(subsumption_resolution,[],[f10236,f120]) ).
fof(f10236,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK5))
| ~ function(sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3234,f119]) ).
fof(f10253,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f10252,f205]) ).
fof(f10252,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK18))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f10242,f194]) ).
fof(f10242,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK18))
| ~ function(sK18)
| ~ empty(X0) ),
inference(resolution,[],[f3234,f192]) ).
fof(f10251,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,function_inverse(sK17)) ),
inference(subsumption_resolution,[],[f10241,f190]) ).
fof(f10241,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK17))
| ~ function(sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3234,f189]) ).
fof(f10250,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,function_inverse(sK16)) ),
inference(subsumption_resolution,[],[f10240,f188]) ).
fof(f10240,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK16))
| ~ function(sK16)
| ~ empty(X0) ),
inference(resolution,[],[f3234,f187]) ).
fof(f10239,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK15))
| ~ function(sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3234,f186]) ).
fof(f10249,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(empty_set))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f10248,f209]) ).
fof(f10248,plain,
! [X0] :
( ~ function(empty_set)
| empty_set = relation_composition(X0,function_inverse(empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f10247,f204]) ).
fof(f10247,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(empty_set))
| ~ function(sK14)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f10238,f204]) ).
fof(f10238,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK14))
| ~ function(sK14)
| ~ empty(X0) ),
inference(resolution,[],[f3234,f185]) ).
fof(f10237,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK13))
| ~ function(sK13)
| ~ empty(X0) ),
inference(resolution,[],[f3234,f183]) ).
fof(f10235,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,function_inverse(relation_rng(X1)))
| ~ function(relation_rng(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3234,f132]) ).
fof(f10245,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(empty_set))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f10234,f209]) ).
fof(f10234,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(empty_set))
| ~ function(empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f3234,f125]) ).
fof(f10233,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,function_inverse(relation_composition(X1,X2)))
| ~ function(relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3234,f170]) ).
fof(f10232,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,function_inverse(relation_composition(X1,X2)))
| ~ function(relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3234,f172]) ).
fof(f10231,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,function_inverse(relation_composition(X1,X2)))
| ~ function(relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f3234,f177]) ).
fof(f10244,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,function_inverse(function_inverse(X1)))
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(subsumption_resolution,[],[f10230,f138]) ).
fof(f10230,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,function_inverse(function_inverse(X1)))
| ~ function(function_inverse(X1))
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f3234,f137]) ).
fof(f10229,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,function_inverse(relation_dom(X1)))
| ~ function(relation_dom(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3234,f134]) ).
fof(f10243,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,function_inverse(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(subsumption_resolution,[],[f10228,f128]) ).
fof(f10228,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,function_inverse(X1))
| ~ function(X1)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3234,f129]) ).
fof(f3234,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(X0,function_inverse(X1))
| ~ function(X1)
| ~ empty(X0) ),
inference(resolution,[],[f327,f137]) ).
fof(f10213,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f10141,f131]) ).
fof(f10211,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10141,f169]) ).
fof(f10210,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10141,f171]) ).
fof(f10209,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f10141,f133]) ).
fof(f10141,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f10109,f131]) ).
fof(f10194,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f10137,f131]) ).
fof(f10192,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10137,f169]) ).
fof(f10191,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10137,f171]) ).
fof(f10190,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f10137,f133]) ).
fof(f10137,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f10109,f133]) ).
fof(f10175,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f10126,f131]) ).
fof(f10173,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10126,f169]) ).
fof(f10172,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10126,f171]) ).
fof(f10171,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f10126,f133]) ).
fof(f10126,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f10105,f131]) ).
fof(f10156,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f10122,f131]) ).
fof(f10154,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10122,f169]) ).
fof(f10153,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10122,f171]) ).
fof(f10152,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f10122,f133]) ).
fof(f10122,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f10105,f133]) ).
fof(f10139,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10109,f169]) ).
fof(f10138,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10109,f171]) ).
fof(f10109,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(X0)) ),
inference(resolution,[],[f10097,f131]) ).
fof(f10124,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10105,f169]) ).
fof(f10123,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10105,f171]) ).
fof(f10105,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(X0)) ),
inference(resolution,[],[f10097,f133]) ).
fof(f10108,plain,
empty_set = relation_composition(function_inverse(sK5),empty_set),
inference(resolution,[],[f10097,f123]) ).
fof(f10115,plain,
empty_set = relation_composition(function_inverse(sK5),empty_set),
inference(forward_demodulation,[],[f10112,f205]) ).
fof(f10112,plain,
empty_set = relation_composition(function_inverse(sK5),sK18),
inference(resolution,[],[f10097,f193]) ).
fof(f10114,plain,
empty_set = relation_composition(function_inverse(sK5),empty_set),
inference(forward_demodulation,[],[f10111,f204]) ).
fof(f10111,plain,
empty_set = relation_composition(function_inverse(sK5),sK14),
inference(resolution,[],[f10097,f184]) ).
fof(f10113,plain,
empty_set = relation_composition(function_inverse(sK5),empty_set),
inference(forward_demodulation,[],[f10110,f203]) ).
fof(f10110,plain,
empty_set = relation_composition(function_inverse(sK5),sK12),
inference(resolution,[],[f10097,f181]) ).
fof(f10107,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_composition(X0,X1))
| ~ empty(X1) ),
inference(resolution,[],[f10097,f169]) ).
fof(f10106,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(function_inverse(sK5),relation_composition(X0,X1))
| ~ empty(X0) ),
inference(resolution,[],[f10097,f171]) ).
fof(f10097,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),X0) ),
inference(subsumption_resolution,[],[f10087,f120]) ).
fof(f10087,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK5),X0)
| ~ function(sK5)
| ~ empty(X0) ),
inference(resolution,[],[f525,f119]) ).
fof(f10104,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(empty_set),X0)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f10103,f205]) ).
fof(f10103,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK18),X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f10093,f194]) ).
fof(f10093,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK18),X0)
| ~ function(sK18)
| ~ empty(X0) ),
inference(resolution,[],[f525,f192]) ).
fof(f10102,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK17),X0) ),
inference(subsumption_resolution,[],[f10092,f190]) ).
fof(f10092,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK17),X0)
| ~ function(sK17)
| ~ empty(X0) ),
inference(resolution,[],[f525,f189]) ).
fof(f10101,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK16),X0) ),
inference(subsumption_resolution,[],[f10091,f188]) ).
fof(f10091,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK16),X0)
| ~ function(sK16)
| ~ empty(X0) ),
inference(resolution,[],[f525,f187]) ).
fof(f10090,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK15),X0)
| ~ function(sK15)
| ~ empty(X0) ),
inference(resolution,[],[f525,f186]) ).
fof(f10100,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(empty_set),X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f10099,f209]) ).
fof(f10099,plain,
! [X0] :
( ~ function(empty_set)
| empty_set = relation_composition(function_inverse(empty_set),X0)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f10098,f204]) ).
fof(f10098,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(empty_set),X0)
| ~ function(sK14)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f10089,f204]) ).
fof(f10089,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK14),X0)
| ~ function(sK14)
| ~ empty(X0) ),
inference(resolution,[],[f525,f185]) ).
fof(f10088,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK13),X0)
| ~ function(sK13)
| ~ empty(X0) ),
inference(resolution,[],[f525,f183]) ).
fof(f10086,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(relation_rng(X0)),X1)
| ~ function(relation_rng(X0))
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f525,f132]) ).
fof(f10096,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(empty_set),X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f10085,f209]) ).
fof(f10085,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(empty_set),X0)
| ~ function(empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f525,f125]) ).
fof(f10084,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(function_inverse(relation_composition(X0,X1)),X2)
| ~ function(relation_composition(X0,X1))
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f525,f170]) ).
fof(f10083,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(function_inverse(relation_composition(X0,X1)),X2)
| ~ function(relation_composition(X0,X1))
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f525,f172]) ).
fof(f10082,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(function_inverse(relation_composition(X0,X1)),X2)
| ~ function(relation_composition(X0,X1))
| ~ empty(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f525,f177]) ).
fof(f10095,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(function_inverse(X0)),X1)
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f10081,f138]) ).
fof(f10081,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(function_inverse(X0)),X1)
| ~ function(function_inverse(X0))
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f525,f137]) ).
fof(f10080,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(relation_dom(X0)),X1)
| ~ function(relation_dom(X0))
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f525,f134]) ).
fof(f10094,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f10079,f128]) ).
fof(f10079,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(X0),X1)
| ~ function(X0)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f525,f129]) ).
fof(f525,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(function_inverse(X1),X0)
| ~ function(X1)
| ~ empty(X0) ),
inference(resolution,[],[f319,f137]) ).
fof(f10064,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK16,relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7321,f131]) ).
fof(f10062,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK16,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7321,f169]) ).
fof(f10061,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK16,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7321,f171]) ).
fof(f10060,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK16,relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7321,f133]) ).
fof(f7321,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK16,relation_dom(X0))) ),
inference(resolution,[],[f6949,f133]) ).
fof(f10045,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK15,relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7310,f131]) ).
fof(f10043,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK15,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7310,f169]) ).
fof(f10042,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK15,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7310,f171]) ).
fof(f10041,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK15,relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7310,f133]) ).
fof(f7310,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK15,relation_rng(X0))) ),
inference(resolution,[],[f6948,f131]) ).
fof(f10026,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK15,relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7306,f131]) ).
fof(f10024,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK15,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7306,f169]) ).
fof(f10023,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK15,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7306,f171]) ).
fof(f10022,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK15,relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7306,f133]) ).
fof(f7306,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK15,relation_dom(X0))) ),
inference(resolution,[],[f6948,f133]) ).
fof(f10007,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK13,relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7295,f131]) ).
fof(f10005,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK13,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7295,f169]) ).
fof(f10004,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK13,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7295,f171]) ).
fof(f10003,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK13,relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7295,f133]) ).
fof(f7295,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK13,relation_rng(X0))) ),
inference(resolution,[],[f6946,f131]) ).
fof(f9988,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK13,relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7291,f131]) ).
fof(f9986,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK13,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7291,f169]) ).
fof(f9985,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK13,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7291,f171]) ).
fof(f9984,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK13,relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7291,f133]) ).
fof(f7291,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK13,relation_dom(X0))) ),
inference(resolution,[],[f6946,f133]) ).
fof(f9969,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(empty_set,relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7118,f131]) ).
fof(f9967,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(empty_set,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7118,f169]) ).
fof(f9966,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(empty_set,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7118,f171]) ).
fof(f9965,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(empty_set,relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7118,f133]) ).
fof(f7118,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(empty_set,relation_rng(X0))) ),
inference(resolution,[],[f6943,f131]) ).
fof(f9950,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(empty_set,relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7114,f131]) ).
fof(f9948,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(empty_set,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7114,f169]) ).
fof(f9947,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(empty_set,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7114,f171]) ).
fof(f9946,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(empty_set,relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7114,f133]) ).
fof(f7114,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(empty_set,relation_dom(X0))) ),
inference(resolution,[],[f6943,f133]) ).
fof(f9931,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK17,relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7103,f131]) ).
fof(f9929,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK17,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7103,f169]) ).
fof(f9928,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK17,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7103,f171]) ).
fof(f9927,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK17,relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7103,f133]) ).
fof(f7103,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK17,relation_rng(X0))) ),
inference(resolution,[],[f6728,f131]) ).
fof(f9916,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f9890,f131]) ).
fof(f9914,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_rng(relation_composition(sK5,X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9890,f169]) ).
fof(f9913,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_rng(relation_composition(sK5,X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9890,f171]) ).
fof(f9912,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f9890,f133]) ).
fof(f9890,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_rng(relation_composition(sK5,X0)) ),
inference(resolution,[],[f9877,f131]) ).
fof(f9901,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f9886,f131]) ).
fof(f9899,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_rng(relation_composition(sK5,X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9886,f169]) ).
fof(f9898,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_rng(relation_composition(sK5,X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9886,f171]) ).
fof(f9897,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f9886,f133]) ).
fof(f9886,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_rng(relation_composition(sK5,X0)) ),
inference(resolution,[],[f9877,f133]) ).
fof(f9888,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9877,f169]) ).
fof(f9887,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9877,f171]) ).
fof(f9877,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_composition(sK5,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f358,f119]) ).
fof(f9885,plain,
! [X0,X1] :
( relation_rng(relation_composition(empty_set,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f9883,f205]) ).
fof(f9883,plain,
! [X0,X1] :
( relation_rng(relation_composition(sK18,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f358,f192]) ).
fof(f9882,plain,
! [X0,X1] :
( relation_rng(relation_composition(sK17,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f358,f189]) ).
fof(f9881,plain,
! [X0,X1] :
( relation_rng(relation_composition(sK16,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f358,f187]) ).
fof(f9880,plain,
! [X0,X1] :
( relation_rng(relation_composition(sK15,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f358,f186]) ).
fof(f9884,plain,
! [X0,X1] :
( relation_rng(relation_composition(empty_set,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f9879,f204]) ).
fof(f9879,plain,
! [X0,X1] :
( relation_rng(relation_composition(sK14,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f358,f185]) ).
fof(f9878,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_composition(sK13,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f358,f183]) ).
fof(f9876,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(relation_rng(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f358,f132]) ).
fof(f9875,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_composition(empty_set,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f358,f125]) ).
fof(f9874,plain,
! [X2,X3,X0,X1] :
( relation_rng(relation_composition(relation_composition(X0,X1),X2)) = X3
| ~ empty(X3)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f358,f170]) ).
fof(f9873,plain,
! [X2,X3,X0,X1] :
( relation_rng(relation_composition(relation_composition(X0,X1),X2)) = X3
| ~ empty(X3)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f358,f172]) ).
fof(f9872,plain,
! [X2,X3,X0,X1] :
( relation_rng(relation_composition(relation_composition(X0,X1),X2)) = X3
| ~ empty(X3)
| ~ empty(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f358,f177]) ).
fof(f9871,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(function_inverse(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f358,f137]) ).
fof(f9870,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(relation_dom(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f358,f134]) ).
fof(f9869,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(X0,X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f358,f129]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| relation_rng(relation_composition(X1,X2)) = X0
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f255,f169]) ).
fof(f9854,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK17,relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7099,f131]) ).
fof(f9852,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK17,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7099,f169]) ).
fof(f9851,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK17,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7099,f171]) ).
fof(f9850,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK17,relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f7099,f133]) ).
fof(f7099,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK17,relation_dom(X0))) ),
inference(resolution,[],[f6728,f133]) ).
fof(f9835,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK16,relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6926,f131]) ).
fof(f9833,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK16,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6926,f169]) ).
fof(f9832,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK16,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6926,f171]) ).
fof(f9831,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK16,relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6926,f133]) ).
fof(f6926,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK16,relation_rng(X0))) ),
inference(resolution,[],[f6727,f131]) ).
fof(f9816,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK16,relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6922,f131]) ).
fof(f9814,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK16,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6922,f169]) ).
fof(f9813,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK16,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6922,f171]) ).
fof(f9812,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK16,relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6922,f133]) ).
fof(f6922,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK16,relation_dom(X0))) ),
inference(resolution,[],[f6727,f133]) ).
fof(f9797,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK15,relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6911,f131]) ).
fof(f9795,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK15,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6911,f169]) ).
fof(f9794,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK15,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6911,f171]) ).
fof(f9793,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK15,relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6911,f133]) ).
fof(f6911,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK15,relation_rng(X0))) ),
inference(resolution,[],[f6726,f131]) ).
fof(f9778,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK15,relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6907,f131]) ).
fof(f9776,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK15,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6907,f169]) ).
fof(f9775,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK15,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6907,f171]) ).
fof(f9774,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK15,relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6907,f133]) ).
fof(f6907,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK15,relation_dom(X0))) ),
inference(resolution,[],[f6726,f133]) ).
fof(f9759,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK13,relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6896,f131]) ).
fof(f9757,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK13,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6896,f169]) ).
fof(f9756,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK13,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6896,f171]) ).
fof(f9755,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK13,relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6896,f133]) ).
fof(f6896,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK13,relation_rng(X0))) ),
inference(resolution,[],[f6724,f131]) ).
fof(f9740,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK13,relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6892,f131]) ).
fof(f9738,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK13,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6892,f169]) ).
fof(f9737,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK13,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6892,f171]) ).
fof(f9736,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK13,relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6892,f133]) ).
fof(f6892,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK13,relation_dom(X0))) ),
inference(resolution,[],[f6724,f133]) ).
fof(f9721,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(empty_set,relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6881,f131]) ).
fof(f9719,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(empty_set,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6881,f169]) ).
fof(f9718,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(empty_set,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6881,f171]) ).
fof(f9717,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(empty_set,relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6881,f133]) ).
fof(f6881,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(empty_set,relation_rng(X0))) ),
inference(resolution,[],[f6721,f131]) ).
fof(f9706,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f9680,f131]) ).
fof(f9704,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_rng(relation_composition(X0,sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9680,f169]) ).
fof(f9703,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_rng(relation_composition(X0,sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9680,f171]) ).
fof(f9702,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f9680,f133]) ).
fof(f9680,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_rng(relation_composition(X0,sK5)) ),
inference(resolution,[],[f9667,f131]) ).
fof(f9691,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f9676,f131]) ).
fof(f9689,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_rng(relation_composition(X0,sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9676,f169]) ).
fof(f9688,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_rng(relation_composition(X0,sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9676,f171]) ).
fof(f9687,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f9676,f133]) ).
fof(f9676,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_rng(relation_composition(X0,sK5)) ),
inference(resolution,[],[f9667,f133]) ).
fof(f9678,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9667,f169]) ).
fof(f9677,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9667,f171]) ).
fof(f9667,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_composition(X0,sK5)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f357,f119]) ).
fof(f9675,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,empty_set)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f9673,f205]) ).
fof(f9673,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,sK18)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f357,f192]) ).
fof(f9672,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_composition(X0,sK17)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f357,f189]) ).
fof(f9671,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_composition(X0,sK16)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f357,f187]) ).
fof(f9670,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_composition(X0,sK15)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f357,f186]) ).
fof(f9674,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,empty_set)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f9669,f204]) ).
fof(f9669,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,sK14)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f357,f185]) ).
fof(f9668,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_composition(X0,sK13)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f357,f183]) ).
fof(f9666,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(X0,relation_rng(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f357,f132]) ).
fof(f9665,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_composition(X0,empty_set)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f357,f125]) ).
fof(f9664,plain,
! [X2,X3,X0,X1] :
( relation_rng(relation_composition(X0,relation_composition(X1,X2))) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f357,f170]) ).
fof(f9663,plain,
! [X2,X3,X0,X1] :
( relation_rng(relation_composition(X0,relation_composition(X1,X2))) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f357,f172]) ).
fof(f9662,plain,
! [X2,X3,X0,X1] :
( relation_rng(relation_composition(X0,relation_composition(X1,X2))) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f357,f177]) ).
fof(f9661,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(X0,function_inverse(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f357,f137]) ).
fof(f9660,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(X0,relation_dom(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f357,f134]) ).
fof(f9659,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(X0,X1)) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f357,f129]) ).
fof(f357,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| relation_rng(relation_composition(X1,X2)) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f255,f171]) ).
fof(f9644,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(empty_set,relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6877,f131]) ).
fof(f9642,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(empty_set,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6877,f169]) ).
fof(f9641,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(empty_set,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6877,f171]) ).
fof(f9640,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(empty_set,relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f6877,f133]) ).
fof(f6877,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(empty_set,relation_dom(X0))) ),
inference(resolution,[],[f6721,f133]) ).
fof(f9625,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3904,f131]) ).
fof(f9623,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3904,f169]) ).
fof(f9622,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3904,f171]) ).
fof(f9621,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3904,f133]) ).
fof(f3904,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),sK17) ),
inference(resolution,[],[f3499,f131]) ).
fof(f9606,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3900,f131]) ).
fof(f9604,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3900,f169]) ).
fof(f9603,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3900,f171]) ).
fof(f9602,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3900,f133]) ).
fof(f3900,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),sK17) ),
inference(resolution,[],[f3499,f133]) ).
fof(f9587,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3889,f131]) ).
fof(f9585,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3889,f169]) ).
fof(f9584,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3889,f171]) ).
fof(f9583,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3889,f133]) ).
fof(f3889,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),sK17) ),
inference(resolution,[],[f3495,f131]) ).
fof(f9568,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3885,f131]) ).
fof(f9566,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3885,f169]) ).
fof(f9565,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3885,f171]) ).
fof(f9564,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3885,f133]) ).
fof(f3885,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),sK17) ),
inference(resolution,[],[f3495,f133]) ).
fof(f9549,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK16)
| ~ empty(X0) ),
inference(resolution,[],[f3868,f131]) ).
fof(f9547,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK16)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3868,f169]) ).
fof(f9546,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK16)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3868,f171]) ).
fof(f9545,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK16)
| ~ empty(X0) ),
inference(resolution,[],[f3868,f133]) ).
fof(f3868,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),sK16) ),
inference(resolution,[],[f3481,f131]) ).
fof(f9530,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK16)
| ~ empty(X0) ),
inference(resolution,[],[f3864,f131]) ).
fof(f9528,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK16)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3864,f169]) ).
fof(f9527,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK16)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3864,f171]) ).
fof(f9526,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK16)
| ~ empty(X0) ),
inference(resolution,[],[f3864,f133]) ).
fof(f3864,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),sK16) ),
inference(resolution,[],[f3481,f133]) ).
fof(f9511,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK16)
| ~ empty(X0) ),
inference(resolution,[],[f3853,f131]) ).
fof(f9509,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK16)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3853,f169]) ).
fof(f9508,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK16)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3853,f171]) ).
fof(f9507,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK16)
| ~ empty(X0) ),
inference(resolution,[],[f3853,f133]) ).
fof(f3853,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),sK16) ),
inference(resolution,[],[f3477,f131]) ).
fof(f9496,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f9470,f131]) ).
fof(f9494,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_dom(relation_composition(sK5,X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9470,f169]) ).
fof(f9493,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_dom(relation_composition(sK5,X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9470,f171]) ).
fof(f9492,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f9470,f133]) ).
fof(f9470,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_dom(relation_composition(sK5,X0)) ),
inference(resolution,[],[f9457,f131]) ).
fof(f9481,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f9466,f131]) ).
fof(f9479,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_dom(relation_composition(sK5,X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9466,f169]) ).
fof(f9478,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_dom(relation_composition(sK5,X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9466,f171]) ).
fof(f9477,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f9466,f133]) ).
fof(f9466,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_dom(relation_composition(sK5,X0)) ),
inference(resolution,[],[f9457,f133]) ).
fof(f9468,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9457,f169]) ).
fof(f9467,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9457,f171]) ).
fof(f9457,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(sK5,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f343,f119]) ).
fof(f9465,plain,
! [X0,X1] :
( relation_dom(relation_composition(empty_set,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f9463,f205]) ).
fof(f9463,plain,
! [X0,X1] :
( relation_dom(relation_composition(sK18,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f343,f192]) ).
fof(f9462,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(sK17,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f343,f189]) ).
fof(f9461,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(sK16,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f343,f187]) ).
fof(f9460,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(sK15,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f343,f186]) ).
fof(f9464,plain,
! [X0,X1] :
( relation_dom(relation_composition(empty_set,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f9459,f204]) ).
fof(f9459,plain,
! [X0,X1] :
( relation_dom(relation_composition(sK14,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f343,f185]) ).
fof(f9458,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(sK13,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f343,f183]) ).
fof(f9456,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(relation_rng(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f343,f132]) ).
fof(f9455,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(empty_set,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f343,f125]) ).
fof(f9454,plain,
! [X2,X3,X0,X1] :
( relation_dom(relation_composition(relation_composition(X0,X1),X2)) = X3
| ~ empty(X3)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f343,f170]) ).
fof(f9453,plain,
! [X2,X3,X0,X1] :
( relation_dom(relation_composition(relation_composition(X0,X1),X2)) = X3
| ~ empty(X3)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f343,f172]) ).
fof(f9452,plain,
! [X2,X3,X0,X1] :
( relation_dom(relation_composition(relation_composition(X0,X1),X2)) = X3
| ~ empty(X3)
| ~ empty(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f343,f177]) ).
fof(f9451,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(function_inverse(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f343,f137]) ).
fof(f9450,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(relation_dom(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f343,f134]) ).
fof(f9449,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(X0,X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f343,f129]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| relation_dom(relation_composition(X1,X2)) = X0
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f253,f169]) ).
fof(f9434,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK16)
| ~ empty(X0) ),
inference(resolution,[],[f3849,f131]) ).
fof(f9432,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK16)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3849,f169]) ).
fof(f9431,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK16)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3849,f171]) ).
fof(f9430,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK16)
| ~ empty(X0) ),
inference(resolution,[],[f3849,f133]) ).
fof(f3849,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),sK16) ),
inference(resolution,[],[f3477,f133]) ).
fof(f9415,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3838,f131]) ).
fof(f9413,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3838,f169]) ).
fof(f9412,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3838,f171]) ).
fof(f9411,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3838,f133]) ).
fof(f3838,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),sK15) ),
inference(resolution,[],[f3435,f131]) ).
fof(f9396,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3834,f131]) ).
fof(f9394,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3834,f169]) ).
fof(f9393,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3834,f171]) ).
fof(f9392,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3834,f133]) ).
fof(f3834,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),sK15) ),
inference(resolution,[],[f3435,f133]) ).
fof(f9377,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3823,f131]) ).
fof(f9375,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3823,f169]) ).
fof(f9374,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3823,f171]) ).
fof(f9373,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3823,f133]) ).
fof(f3823,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),sK15) ),
inference(resolution,[],[f3431,f131]) ).
fof(f9358,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3819,f131]) ).
fof(f9356,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3819,f169]) ).
fof(f9355,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3819,f171]) ).
fof(f9354,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3819,f133]) ).
fof(f3819,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),sK15) ),
inference(resolution,[],[f3431,f133]) ).
fof(f9339,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK13)
| ~ empty(X0) ),
inference(resolution,[],[f3808,f131]) ).
fof(f9337,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK13)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3808,f169]) ).
fof(f9336,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK13)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3808,f171]) ).
fof(f9335,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK13)
| ~ empty(X0) ),
inference(resolution,[],[f3808,f133]) ).
fof(f3808,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),sK13) ),
inference(resolution,[],[f3417,f131]) ).
fof(f9320,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK13)
| ~ empty(X0) ),
inference(resolution,[],[f3804,f131]) ).
fof(f9318,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK13)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3804,f169]) ).
fof(f9317,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK13)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3804,f171]) ).
fof(f9316,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK13)
| ~ empty(X0) ),
inference(resolution,[],[f3804,f133]) ).
fof(f3804,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),sK13) ),
inference(resolution,[],[f3417,f133]) ).
fof(f9301,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK13)
| ~ empty(X0) ),
inference(resolution,[],[f3793,f131]) ).
fof(f9299,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK13)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3793,f169]) ).
fof(f9298,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK13)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3793,f171]) ).
fof(f9297,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK13)
| ~ empty(X0) ),
inference(resolution,[],[f3793,f133]) ).
fof(f3793,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),sK13) ),
inference(resolution,[],[f3413,f131]) ).
fof(f9286,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f9260,f131]) ).
fof(f9284,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_dom(relation_composition(X0,sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9260,f169]) ).
fof(f9283,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_dom(relation_composition(X0,sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9260,f171]) ).
fof(f9282,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f9260,f133]) ).
fof(f9260,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_dom(relation_composition(X0,sK5)) ),
inference(resolution,[],[f9247,f131]) ).
fof(f9271,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f9256,f131]) ).
fof(f9269,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_dom(relation_composition(X0,sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9256,f169]) ).
fof(f9268,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_dom(relation_composition(X0,sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9256,f171]) ).
fof(f9267,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f9256,f133]) ).
fof(f9256,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_dom(relation_composition(X0,sK5)) ),
inference(resolution,[],[f9247,f133]) ).
fof(f9258,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f9247,f169]) ).
fof(f9257,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f9247,f171]) ).
fof(f9247,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(X0,sK5)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f342,f119]) ).
fof(f9255,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,empty_set)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f9253,f205]) ).
fof(f9253,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,sK18)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f342,f192]) ).
fof(f9252,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(X0,sK17)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f342,f189]) ).
fof(f9251,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(X0,sK16)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f342,f187]) ).
fof(f9250,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(X0,sK15)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f342,f186]) ).
fof(f9254,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,empty_set)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f9249,f204]) ).
fof(f9249,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,sK14)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f342,f185]) ).
fof(f9248,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(X0,sK13)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f342,f183]) ).
fof(f9246,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(X0,relation_rng(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f342,f132]) ).
fof(f9245,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(X0,empty_set)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f342,f125]) ).
fof(f9244,plain,
! [X2,X3,X0,X1] :
( relation_dom(relation_composition(X0,relation_composition(X1,X2))) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f342,f170]) ).
fof(f9243,plain,
! [X2,X3,X0,X1] :
( relation_dom(relation_composition(X0,relation_composition(X1,X2))) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f342,f172]) ).
fof(f9242,plain,
! [X2,X3,X0,X1] :
( relation_dom(relation_composition(X0,relation_composition(X1,X2))) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f342,f177]) ).
fof(f9241,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(X0,function_inverse(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f342,f137]) ).
fof(f9240,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(X0,relation_dom(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f342,f134]) ).
fof(f9239,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(X0,X1)) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f342,f129]) ).
fof(f342,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| relation_dom(relation_composition(X1,X2)) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f253,f171]) ).
fof(f9224,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK13)
| ~ empty(X0) ),
inference(resolution,[],[f3789,f131]) ).
fof(f9222,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK13)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3789,f169]) ).
fof(f9221,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK13)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3789,f171]) ).
fof(f9220,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK13)
| ~ empty(X0) ),
inference(resolution,[],[f3789,f133]) ).
fof(f3789,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),sK13) ),
inference(resolution,[],[f3413,f133]) ).
fof(f9205,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f3778,f131]) ).
fof(f9203,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3778,f169]) ).
fof(f9202,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3778,f171]) ).
fof(f9201,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f3778,f133]) ).
fof(f3778,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),empty_set) ),
inference(resolution,[],[f3378,f131]) ).
fof(f9186,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f3774,f131]) ).
fof(f9184,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3774,f169]) ).
fof(f9183,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3774,f171]) ).
fof(f9182,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f3774,f133]) ).
fof(f3774,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),empty_set) ),
inference(resolution,[],[f3378,f133]) ).
fof(f9167,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f3763,f131]) ).
fof(f9165,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3763,f169]) ).
fof(f9164,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3763,f171]) ).
fof(f9163,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f3763,f133]) ).
fof(f3763,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),empty_set) ),
inference(resolution,[],[f3374,f131]) ).
fof(f9148,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f3759,f131]) ).
fof(f9146,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3759,f169]) ).
fof(f9145,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3759,f171]) ).
fof(f9144,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f3759,f133]) ).
fof(f3759,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),empty_set) ),
inference(resolution,[],[f3374,f133]) ).
fof(f9129,plain,
! [X0] :
( empty_set = relation_composition(sK17,relation_rng(relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1074,f131]) ).
fof(f9127,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1074,f169]) ).
fof(f9126,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1074,f171]) ).
fof(f9125,plain,
! [X0] :
( empty_set = relation_composition(sK17,relation_rng(relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1074,f133]) ).
fof(f1074,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f732,f131]) ).
fof(f9110,plain,
! [X0] :
( empty_set = relation_composition(sK17,relation_rng(relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1070,f131]) ).
fof(f9108,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1070,f169]) ).
fof(f9107,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1070,f171]) ).
fof(f9106,plain,
! [X0] :
( empty_set = relation_composition(sK17,relation_rng(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1070,f133]) ).
fof(f1070,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f732,f133]) ).
fof(f9091,plain,
! [X0] :
( empty_set = relation_composition(sK17,relation_dom(relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1059,f131]) ).
fof(f9089,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1059,f169]) ).
fof(f9088,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1059,f171]) ).
fof(f9087,plain,
! [X0] :
( empty_set = relation_composition(sK17,relation_dom(relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1059,f133]) ).
fof(f1059,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f728,f131]) ).
fof(f9072,plain,
! [X0] :
( empty_set = relation_composition(sK17,relation_dom(relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1055,f131]) ).
fof(f9070,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1055,f169]) ).
fof(f9069,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1055,f171]) ).
fof(f9068,plain,
! [X0] :
( empty_set = relation_composition(sK17,relation_dom(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1055,f133]) ).
fof(f1055,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f728,f133]) ).
fof(f9053,plain,
! [X0] :
( empty_set = relation_composition(sK16,relation_rng(relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1037,f131]) ).
fof(f9051,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1037,f169]) ).
fof(f9050,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1037,f171]) ).
fof(f9049,plain,
! [X0] :
( empty_set = relation_composition(sK16,relation_rng(relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1037,f133]) ).
fof(f1037,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK16,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f716,f131]) ).
fof(f9034,plain,
! [X0] :
( empty_set = relation_composition(sK16,relation_rng(relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1033,f131]) ).
fof(f9032,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1033,f169]) ).
fof(f9031,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1033,f171]) ).
fof(f9030,plain,
! [X0] :
( empty_set = relation_composition(sK16,relation_rng(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1033,f133]) ).
fof(f1033,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK16,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f716,f133]) ).
fof(f9015,plain,
! [X0] :
( empty_set = relation_composition(sK16,relation_dom(relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1022,f131]) ).
fof(f9013,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1022,f169]) ).
fof(f9012,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1022,f171]) ).
fof(f9011,plain,
! [X0] :
( empty_set = relation_composition(sK16,relation_dom(relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1022,f133]) ).
fof(f1022,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK16,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f712,f131]) ).
fof(f8996,plain,
! [X0] :
( empty_set = relation_composition(sK16,relation_dom(relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1018,f131]) ).
fof(f8994,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1018,f169]) ).
fof(f8993,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1018,f171]) ).
fof(f8992,plain,
! [X0] :
( empty_set = relation_composition(sK16,relation_dom(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1018,f133]) ).
fof(f1018,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK16,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f712,f133]) ).
fof(f8977,plain,
! [X0] :
( empty_set = relation_composition(sK15,relation_rng(relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1007,f131]) ).
fof(f8975,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1007,f169]) ).
fof(f8974,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1007,f171]) ).
fof(f8973,plain,
! [X0] :
( empty_set = relation_composition(sK15,relation_rng(relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1007,f133]) ).
fof(f1007,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f700,f131]) ).
fof(f8958,plain,
! [X0] :
( empty_set = relation_composition(sK15,relation_rng(relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1003,f131]) ).
fof(f8956,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1003,f169]) ).
fof(f8955,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1003,f171]) ).
fof(f8954,plain,
! [X0] :
( empty_set = relation_composition(sK15,relation_rng(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1003,f133]) ).
fof(f1003,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f700,f133]) ).
fof(f8939,plain,
! [X0] :
( empty_set = relation_composition(sK15,relation_dom(relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f992,f131]) ).
fof(f8937,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f992,f169]) ).
fof(f8936,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f992,f171]) ).
fof(f8935,plain,
! [X0] :
( empty_set = relation_composition(sK15,relation_dom(relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f992,f133]) ).
fof(f992,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f696,f131]) ).
fof(f8920,plain,
! [X0] :
( empty_set = relation_composition(sK15,relation_dom(relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f988,f131]) ).
fof(f8918,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f988,f169]) ).
fof(f8917,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f988,f171]) ).
fof(f8916,plain,
! [X0] :
( empty_set = relation_composition(sK15,relation_dom(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f988,f133]) ).
fof(f988,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f696,f133]) ).
fof(f8901,plain,
! [X0] :
( empty_set = relation_composition(sK13,relation_rng(relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f977,f131]) ).
fof(f8899,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f977,f169]) ).
fof(f8898,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f977,f171]) ).
fof(f8897,plain,
! [X0] :
( empty_set = relation_composition(sK13,relation_rng(relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f977,f133]) ).
fof(f977,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK13,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f683,f131]) ).
fof(f8882,plain,
! [X0] :
( empty_set = relation_composition(sK13,relation_rng(relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f973,f131]) ).
fof(f8880,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f973,f169]) ).
fof(f8879,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f973,f171]) ).
fof(f8878,plain,
! [X0] :
( empty_set = relation_composition(sK13,relation_rng(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f973,f133]) ).
fof(f973,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK13,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f683,f133]) ).
fof(f8863,plain,
! [X0] :
( empty_set = relation_composition(sK13,relation_dom(relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f962,f131]) ).
fof(f8861,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f962,f169]) ).
fof(f8860,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f962,f171]) ).
fof(f8859,plain,
! [X0] :
( empty_set = relation_composition(sK13,relation_dom(relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f962,f133]) ).
fof(f962,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK13,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f679,f131]) ).
fof(f8844,plain,
! [X0] :
( empty_set = relation_composition(sK13,relation_dom(relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f958,f131]) ).
fof(f8842,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f958,f169]) ).
fof(f8841,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f958,f171]) ).
fof(f8840,plain,
! [X0] :
( empty_set = relation_composition(sK13,relation_dom(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f958,f133]) ).
fof(f958,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK13,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f679,f133]) ).
fof(f8825,plain,
! [X0] :
( empty_set = relation_composition(empty_set,relation_rng(relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f947,f131]) ).
fof(f8823,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f947,f169]) ).
fof(f8822,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f947,f171]) ).
fof(f8821,plain,
! [X0] :
( empty_set = relation_composition(empty_set,relation_rng(relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f947,f133]) ).
fof(f947,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f666,f131]) ).
fof(f8814,plain,
! [X2,X0,X1] :
( relation_composition(X0,X1) = relation_rng(X2)
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f3385,f131]) ).
fof(f8812,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,X1) = relation_composition(X2,X3)
| ~ empty(X1)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X3) ),
inference(resolution,[],[f3385,f169]) ).
fof(f8811,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,X1) = relation_composition(X2,X3)
| ~ empty(X1)
| ~ empty(X0)
| ~ relation(X3)
| ~ empty(X2) ),
inference(resolution,[],[f3385,f171]) ).
fof(f8810,plain,
! [X2,X0,X1] :
( relation_composition(X0,X1) = relation_dom(X2)
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f3385,f133]) ).
fof(f3385,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| relation_composition(X1,X0) = X2
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f320,f129]) ).
fof(f8795,plain,
! [X0] :
( empty_set = relation_composition(empty_set,relation_rng(relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f943,f131]) ).
fof(f8793,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f943,f169]) ).
fof(f8792,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f943,f171]) ).
fof(f8791,plain,
! [X0] :
( empty_set = relation_composition(empty_set,relation_rng(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f943,f133]) ).
fof(f943,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f666,f133]) ).
fof(f8776,plain,
! [X0] :
( empty_set = relation_composition(empty_set,relation_dom(relation_rng(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f932,f131]) ).
fof(f8774,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f932,f169]) ).
fof(f8773,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f932,f171]) ).
fof(f8772,plain,
! [X0] :
( empty_set = relation_composition(empty_set,relation_dom(relation_rng(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f932,f133]) ).
fof(f932,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f662,f131]) ).
fof(f8757,plain,
! [X0] :
( empty_set = relation_composition(empty_set,relation_dom(relation_dom(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f928,f131]) ).
fof(f8755,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f928,f169]) ).
fof(f8754,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f928,f171]) ).
fof(f8753,plain,
! [X0] :
( empty_set = relation_composition(empty_set,relation_dom(relation_dom(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f928,f133]) ).
fof(f928,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f662,f133]) ).
fof(f8734,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f508,f131]) ).
fof(f8732,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f508,f169]) ).
fof(f8731,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f508,f171]) ).
fof(f8730,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f508,f133]) ).
fof(f508,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f305,f131]) ).
fof(f8711,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f504,f131]) ).
fof(f8709,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f504,f169]) ).
fof(f8708,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f504,f171]) ).
fof(f8707,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f504,f133]) ).
fof(f504,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f305,f133]) ).
fof(f8688,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f489,f131]) ).
fof(f8686,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f489,f169]) ).
fof(f8685,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f489,f171]) ).
fof(f8684,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f489,f133]) ).
fof(f489,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f303,f131]) ).
fof(f8665,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f485,f131]) ).
fof(f8663,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f485,f169]) ).
fof(f8662,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f485,f171]) ).
fof(f8661,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f485,f133]) ).
fof(f485,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f303,f133]) ).
fof(f8642,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f470,f131]) ).
fof(f8640,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f470,f169]) ).
fof(f8639,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f470,f171]) ).
fof(f8638,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f470,f133]) ).
fof(f470,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f292,f131]) ).
fof(f8619,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f466,f131]) ).
fof(f8617,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f466,f169]) ).
fof(f8616,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f466,f171]) ).
fof(f8615,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f466,f133]) ).
fof(f466,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f292,f133]) ).
fof(f8596,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f451,f131]) ).
fof(f8594,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f451,f169]) ).
fof(f8593,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f451,f171]) ).
fof(f8592,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f451,f133]) ).
fof(f451,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f290,f131]) ).
fof(f8591,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(relation_rng(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0) ),
inference(resolution,[],[f8588,f1154]) ).
fof(f8588,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ empty(relation_dom(X1))
| empty(relation_rng(X1)) ),
inference(resolution,[],[f3882,f316]) ).
fof(f8587,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| ~ empty(relation_dom(X1))
| sP1(X2,X1)
| relation_rng(X1) != relation_dom(X2)
| sK6(X2,X1) = apply(X1,sK7(X2,X1)) ),
inference(resolution,[],[f3882,f2767]) ).
fof(f3882,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ sP1(X2,X1)
| ~ empty(relation_dom(X1)) ),
inference(resolution,[],[f1422,f179]) ).
fof(f8564,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7494,f131]) ).
fof(f8562,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7494,f169]) ).
fof(f8561,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7494,f171]) ).
fof(f8560,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7494,f133]) ).
fof(f7494,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f7406,f131]) ).
fof(f8537,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7490,f131]) ).
fof(f8535,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7490,f169]) ).
fof(f8534,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7490,f171]) ).
fof(f8533,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7490,f133]) ).
fof(f7490,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f7406,f133]) ).
fof(f8510,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7471,f131]) ).
fof(f8508,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7471,f169]) ).
fof(f8507,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7471,f171]) ).
fof(f8506,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7471,f133]) ).
fof(f7471,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f7402,f131]) ).
fof(f8483,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7467,f131]) ).
fof(f8481,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7467,f169]) ).
fof(f8480,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7467,f171]) ).
fof(f8479,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7467,f133]) ).
fof(f7467,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f7402,f133]) ).
fof(f8456,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7448,f131]) ).
fof(f8454,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7448,f169]) ).
fof(f8453,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7448,f171]) ).
fof(f8452,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7448,f133]) ).
fof(f7448,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f7387,f131]) ).
fof(f8429,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7444,f131]) ).
fof(f8427,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7444,f169]) ).
fof(f8426,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7444,f171]) ).
fof(f8425,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7444,f133]) ).
fof(f7444,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f7387,f133]) ).
fof(f8402,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7425,f131]) ).
fof(f8400,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7425,f169]) ).
fof(f8399,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7425,f171]) ).
fof(f8398,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7425,f133]) ).
fof(f7425,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f7383,f131]) ).
fof(f8375,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7421,f131]) ).
fof(f8373,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7421,f169]) ).
fof(f8372,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7421,f171]) ).
fof(f8371,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7421,f133]) ).
fof(f7421,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f7383,f133]) ).
fof(f8348,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7272,f131]) ).
fof(f8346,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7272,f169]) ).
fof(f8345,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7272,f171]) ).
fof(f8344,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7272,f133]) ).
fof(f7272,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f7184,f131]) ).
fof(f8321,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7268,f131]) ).
fof(f8319,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7268,f169]) ).
fof(f8318,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7268,f171]) ).
fof(f8317,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7268,f133]) ).
fof(f7268,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f7184,f133]) ).
fof(f8294,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7249,f131]) ).
fof(f8292,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7249,f169]) ).
fof(f8291,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7249,f171]) ).
fof(f8290,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7249,f133]) ).
fof(f7249,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f7180,f131]) ).
fof(f8279,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_rng(relation_rng(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3239,f131]) ).
fof(f8277,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_rng(relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3239,f169]) ).
fof(f8276,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_rng(relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3239,f171]) ).
fof(f8275,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_rng(relation_dom(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3239,f133]) ).
fof(f3239,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(X0,relation_rng(X1))
| ~ empty(X0) ),
inference(resolution,[],[f327,f132]) ).
fof(f8252,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7245,f131]) ).
fof(f8250,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7245,f169]) ).
fof(f8249,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7245,f171]) ).
fof(f8248,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7245,f133]) ).
fof(f7245,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f7180,f133]) ).
fof(f8225,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7226,f131]) ).
fof(f8223,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7226,f169]) ).
fof(f8222,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7226,f171]) ).
fof(f8221,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7226,f133]) ).
fof(f7226,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f7165,f131]) ).
fof(f8198,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7222,f131]) ).
fof(f8196,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7222,f169]) ).
fof(f8195,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7222,f171]) ).
fof(f8194,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7222,f133]) ).
fof(f7222,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f7165,f133]) ).
fof(f8171,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7203,f131]) ).
fof(f8169,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7203,f169]) ).
fof(f8168,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7203,f171]) ).
fof(f8167,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7203,f133]) ).
fof(f7203,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f7161,f131]) ).
fof(f8144,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7199,f131]) ).
fof(f8142,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7199,f169]) ).
fof(f8141,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7199,f171]) ).
fof(f8140,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7199,f133]) ).
fof(f7199,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f7161,f133]) ).
fof(f8117,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7080,f131]) ).
fof(f8115,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7080,f169]) ).
fof(f8114,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7080,f171]) ).
fof(f8113,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7080,f133]) ).
fof(f7080,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f6992,f131]) ).
fof(f8090,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7076,f131]) ).
fof(f8088,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7076,f169]) ).
fof(f8087,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7076,f171]) ).
fof(f8086,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7076,f133]) ).
fof(f7076,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f6992,f133]) ).
fof(f8063,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7057,f131]) ).
fof(f8061,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7057,f169]) ).
fof(f8060,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7057,f171]) ).
fof(f8059,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7057,f133]) ).
fof(f7057,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f6988,f131]) ).
fof(f8036,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7053,f131]) ).
fof(f8034,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7053,f169]) ).
fof(f8033,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7053,f171]) ).
fof(f8032,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7053,f133]) ).
fof(f7053,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f6988,f133]) ).
fof(f8009,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7034,f131]) ).
fof(f8007,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7034,f169]) ).
fof(f8006,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7034,f171]) ).
fof(f8005,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7034,f133]) ).
fof(f7034,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f6973,f131]) ).
fof(f7982,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7030,f131]) ).
fof(f7980,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7030,f169]) ).
fof(f7979,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7030,f171]) ).
fof(f7978,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7030,f133]) ).
fof(f7030,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f6973,f133]) ).
fof(f7967,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_dom(relation_rng(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3233,f131]) ).
fof(f7965,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_dom(relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3233,f169]) ).
fof(f7964,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_dom(relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3233,f171]) ).
fof(f7963,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_dom(relation_dom(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3233,f133]) ).
fof(f3233,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(X0,relation_dom(X1))
| ~ empty(X0) ),
inference(resolution,[],[f327,f134]) ).
fof(f7940,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7011,f131]) ).
fof(f7938,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7011,f169]) ).
fof(f7937,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7011,f171]) ).
fof(f7936,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7011,f133]) ).
fof(f7011,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f6969,f131]) ).
fof(f7913,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7007,f131]) ).
fof(f7911,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7007,f169]) ).
fof(f7910,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7007,f171]) ).
fof(f7909,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f7007,f133]) ).
fof(f7007,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f6969,f133]) ).
fof(f7886,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6858,f131]) ).
fof(f7884,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6858,f169]) ).
fof(f7883,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6858,f171]) ).
fof(f7882,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6858,f133]) ).
fof(f6858,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f6770,f131]) ).
fof(f7859,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6854,f131]) ).
fof(f7857,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6854,f169]) ).
fof(f7856,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6854,f171]) ).
fof(f7855,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6854,f133]) ).
fof(f6854,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f6770,f133]) ).
fof(f7832,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6835,f131]) ).
fof(f7830,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6835,f169]) ).
fof(f7829,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6835,f171]) ).
fof(f7828,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6835,f133]) ).
fof(f6835,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f6766,f131]) ).
fof(f7805,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6831,f131]) ).
fof(f7803,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6831,f169]) ).
fof(f7802,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6831,f171]) ).
fof(f7801,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6831,f133]) ).
fof(f6831,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f6766,f133]) ).
fof(f7778,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6812,f131]) ).
fof(f7776,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6812,f169]) ).
fof(f7775,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6812,f171]) ).
fof(f7774,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6812,f133]) ).
fof(f6812,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f6751,f131]) ).
fof(f7751,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6808,f131]) ).
fof(f7749,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6808,f169]) ).
fof(f7748,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6808,f171]) ).
fof(f7747,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6808,f133]) ).
fof(f6808,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f6751,f133]) ).
fof(f7724,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6789,f131]) ).
fof(f7722,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6789,f169]) ).
fof(f7721,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6789,f171]) ).
fof(f7720,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6789,f133]) ).
fof(f6789,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f6747,f131]) ).
fof(f7697,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6785,f131]) ).
fof(f7695,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6785,f169]) ).
fof(f7694,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6785,f171]) ).
fof(f7693,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f6785,f133]) ).
fof(f6785,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f6747,f133]) ).
fof(f7682,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(X0)),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f530,f131]) ).
fof(f7680,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f530,f169]) ).
fof(f7679,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f530,f171]) ).
fof(f7678,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(X0)),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f530,f133]) ).
fof(f530,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_rng(X1),X0)
| ~ empty(X0) ),
inference(resolution,[],[f319,f132]) ).
fof(f7667,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),sK17)) ),
inference(resolution,[],[f7364,f131]) ).
fof(f7665,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7364,f169]) ).
fof(f7664,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7364,f171]) ).
fof(f7663,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),sK17)) ),
inference(resolution,[],[f7364,f133]) ).
fof(f7364,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK17)) ),
inference(resolution,[],[f330,f189]) ).
fof(f7652,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),sK16)) ),
inference(resolution,[],[f7363,f131]) ).
fof(f7650,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK16))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7363,f169]) ).
fof(f7649,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK16))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7363,f171]) ).
fof(f7648,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),sK16)) ),
inference(resolution,[],[f7363,f133]) ).
fof(f7363,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK16)) ),
inference(resolution,[],[f330,f187]) ).
fof(f7637,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),sK15)) ),
inference(resolution,[],[f7362,f131]) ).
fof(f7635,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7362,f169]) ).
fof(f7634,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7362,f171]) ).
fof(f7633,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),sK15)) ),
inference(resolution,[],[f7362,f133]) ).
fof(f7362,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK15)) ),
inference(resolution,[],[f330,f186]) ).
fof(f7622,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),sK13)) ),
inference(resolution,[],[f7360,f131]) ).
fof(f7620,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK13))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7360,f169]) ).
fof(f7619,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK13))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7360,f171]) ).
fof(f7618,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),sK13)) ),
inference(resolution,[],[f7360,f133]) ).
fof(f7360,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK13)) ),
inference(resolution,[],[f330,f183]) ).
fof(f7607,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),empty_set)) ),
inference(resolution,[],[f7357,f131]) ).
fof(f7605,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7357,f169]) ).
fof(f7604,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7357,f171]) ).
fof(f7603,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),empty_set)) ),
inference(resolution,[],[f7357,f133]) ).
fof(f7357,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,empty_set)) ),
inference(resolution,[],[f330,f125]) ).
fof(f7592,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),sK17)) ),
inference(resolution,[],[f7142,f131]) ).
fof(f7590,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7142,f169]) ).
fof(f7589,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7142,f171]) ).
fof(f7588,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),sK17)) ),
inference(resolution,[],[f7142,f133]) ).
fof(f7142,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK17)) ),
inference(resolution,[],[f329,f189]) ).
fof(f7577,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),sK16)) ),
inference(resolution,[],[f7141,f131]) ).
fof(f7575,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK16))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7141,f169]) ).
fof(f7574,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK16))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7141,f171]) ).
fof(f7573,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),sK16)) ),
inference(resolution,[],[f7141,f133]) ).
fof(f7141,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK16)) ),
inference(resolution,[],[f329,f187]) ).
fof(f7562,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),sK15)) ),
inference(resolution,[],[f7140,f131]) ).
fof(f7560,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7140,f169]) ).
fof(f7559,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7140,f171]) ).
fof(f7558,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),sK15)) ),
inference(resolution,[],[f7140,f133]) ).
fof(f7140,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK15)) ),
inference(resolution,[],[f329,f186]) ).
fof(f7547,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(X0)),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f524,f131]) ).
fof(f7545,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f524,f169]) ).
fof(f7544,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f524,f171]) ).
fof(f7543,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(X0)),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f524,f133]) ).
fof(f524,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_dom(X1),X0)
| ~ empty(X0) ),
inference(resolution,[],[f319,f134]) ).
fof(f7532,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),sK13)) ),
inference(resolution,[],[f7138,f131]) ).
fof(f7530,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK13))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7138,f169]) ).
fof(f7529,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK13))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7138,f171]) ).
fof(f7528,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),sK13)) ),
inference(resolution,[],[f7138,f133]) ).
fof(f7138,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK13)) ),
inference(resolution,[],[f329,f183]) ).
fof(f7517,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),empty_set)) ),
inference(resolution,[],[f7135,f131]) ).
fof(f7515,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7135,f169]) ).
fof(f7514,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7135,f171]) ).
fof(f7513,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),empty_set)) ),
inference(resolution,[],[f7135,f133]) ).
fof(f7135,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,empty_set)) ),
inference(resolution,[],[f329,f125]) ).
fof(f7492,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7406,f169]) ).
fof(f7491,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7406,f171]) ).
fof(f7406,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f7372,f131]) ).
fof(f7469,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7402,f169]) ).
fof(f7468,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7402,f171]) ).
fof(f7402,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f7372,f133]) ).
fof(f7446,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7387,f169]) ).
fof(f7445,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7387,f171]) ).
fof(f7387,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f7368,f131]) ).
fof(f7423,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7383,f169]) ).
fof(f7422,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7383,f171]) ).
fof(f7383,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f7368,f133]) ).
fof(f7404,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7372,f169]) ).
fof(f7403,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7372,f171]) ).
fof(f7372,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),sK5)) ),
inference(resolution,[],[f7359,f131]) ).
fof(f7385,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7368,f169]) ).
fof(f7384,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7368,f171]) ).
fof(f7368,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),sK5)) ),
inference(resolution,[],[f7359,f133]) ).
fof(f7370,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK5))
| ~ empty(X1) ),
inference(resolution,[],[f7359,f169]) ).
fof(f7369,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7359,f171]) ).
fof(f7359,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK5)) ),
inference(resolution,[],[f330,f119]) ).
fof(f7367,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f7365,f205]) ).
fof(f7365,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK18)) ),
inference(resolution,[],[f330,f192]) ).
fof(f7366,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f7361,f204]) ).
fof(f7361,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK14)) ),
inference(resolution,[],[f330,f185]) ).
fof(f7358,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,relation_rng(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f330,f132]) ).
fof(f7356,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f330,f170]) ).
fof(f7355,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f330,f172]) ).
fof(f7354,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f330,f177]) ).
fof(f7353,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,function_inverse(X1)))
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f330,f137]) ).
fof(f7352,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,relation_dom(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f330,f134]) ).
fof(f7351,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,X1))
| ~ empty(X1) ),
inference(resolution,[],[f330,f129]) ).
fof(f330,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_composition(X1,X0)) ),
inference(resolution,[],[f171,f213]) ).
fof(f7340,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK17,relation_rng(X0))) ),
inference(resolution,[],[f6950,f131]) ).
fof(f7338,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6950,f169]) ).
fof(f7337,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6950,f171]) ).
fof(f7336,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK17,relation_dom(X0))) ),
inference(resolution,[],[f6950,f133]) ).
fof(f6950,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK17,X0)) ),
inference(resolution,[],[f322,f189]) ).
fof(f7325,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK16,relation_rng(X0))) ),
inference(resolution,[],[f6949,f131]) ).
fof(f7323,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK16,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6949,f169]) ).
fof(f7322,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK16,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6949,f171]) ).
fof(f6949,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK16,X0)) ),
inference(resolution,[],[f322,f187]) ).
fof(f7308,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6948,f169]) ).
fof(f7307,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6948,f171]) ).
fof(f6948,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK15,X0)) ),
inference(resolution,[],[f322,f186]) ).
fof(f7293,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK13,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6946,f169]) ).
fof(f7292,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK13,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6946,f171]) ).
fof(f6946,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK13,X0)) ),
inference(resolution,[],[f322,f183]) ).
fof(f7270,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7184,f169]) ).
fof(f7269,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7184,f171]) ).
fof(f7184,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f7150,f131]) ).
fof(f7247,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7180,f169]) ).
fof(f7246,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7180,f171]) ).
fof(f7180,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f7150,f133]) ).
fof(f7224,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7165,f169]) ).
fof(f7223,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7165,f171]) ).
fof(f7165,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f7146,f131]) ).
fof(f7201,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7161,f169]) ).
fof(f7200,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7161,f171]) ).
fof(f7161,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f7146,f133]) ).
fof(f7182,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7150,f169]) ).
fof(f7181,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7150,f171]) ).
fof(f7150,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),sK5)) ),
inference(resolution,[],[f7137,f131]) ).
fof(f7163,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f7146,f169]) ).
fof(f7162,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f7146,f171]) ).
fof(f7146,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),sK5)) ),
inference(resolution,[],[f7137,f133]) ).
fof(f7148,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK5))
| ~ empty(X1) ),
inference(resolution,[],[f7137,f169]) ).
fof(f7147,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f7137,f171]) ).
fof(f7137,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK5)) ),
inference(resolution,[],[f329,f119]) ).
fof(f7145,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f7143,f205]) ).
fof(f7143,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK18)) ),
inference(resolution,[],[f329,f192]) ).
fof(f7144,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f7139,f204]) ).
fof(f7139,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK14)) ),
inference(resolution,[],[f329,f185]) ).
fof(f7136,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,relation_rng(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f329,f132]) ).
fof(f7134,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f329,f170]) ).
fof(f7133,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f329,f172]) ).
fof(f7132,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f329,f177]) ).
fof(f7131,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,function_inverse(X1)))
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f329,f137]) ).
fof(f7130,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,relation_dom(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f329,f134]) ).
fof(f7129,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,X1))
| ~ empty(X1) ),
inference(resolution,[],[f329,f129]) ).
fof(f329,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_composition(X1,X0)) ),
inference(resolution,[],[f171,f212]) ).
fof(f7116,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6943,f169]) ).
fof(f7115,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6943,f171]) ).
fof(f6943,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(empty_set,X0)) ),
inference(resolution,[],[f322,f125]) ).
fof(f7101,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6728,f169]) ).
fof(f7100,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6728,f171]) ).
fof(f6728,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK17,X0)) ),
inference(resolution,[],[f321,f189]) ).
fof(f7078,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6992,f169]) ).
fof(f7077,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6992,f171]) ).
fof(f6992,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f6958,f131]) ).
fof(f7055,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6988,f169]) ).
fof(f7054,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6988,f171]) ).
fof(f6988,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f6958,f133]) ).
fof(f7032,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6973,f169]) ).
fof(f7031,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6973,f171]) ).
fof(f6973,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f6954,f131]) ).
fof(f7009,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6969,f169]) ).
fof(f7008,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6969,f171]) ).
fof(f6969,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f6954,f133]) ).
fof(f6990,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6958,f169]) ).
fof(f6989,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6958,f171]) ).
fof(f6958,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(X0))) ),
inference(resolution,[],[f6945,f131]) ).
fof(f6971,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6954,f169]) ).
fof(f6970,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6954,f171]) ).
fof(f6954,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(X0))) ),
inference(resolution,[],[f6945,f133]) ).
fof(f6956,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_composition(X0,X1)))
| ~ empty(X1) ),
inference(resolution,[],[f6945,f169]) ).
fof(f6955,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_dom(relation_composition(sK5,relation_composition(X0,X1)))
| ~ empty(X0) ),
inference(resolution,[],[f6945,f171]) ).
fof(f6945,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,X0)) ),
inference(resolution,[],[f322,f119]) ).
fof(f6953,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f6951,f205]) ).
fof(f6951,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK18,X0)) ),
inference(resolution,[],[f322,f192]) ).
fof(f6952,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f6947,f204]) ).
fof(f6947,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK14,X0)) ),
inference(resolution,[],[f322,f185]) ).
fof(f6944,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X1),X0))
| ~ empty(X1) ),
inference(resolution,[],[f322,f132]) ).
fof(f6942,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f322,f170]) ).
fof(f6941,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f322,f172]) ).
fof(f6940,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f322,f177]) ).
fof(f6939,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(function_inverse(X1),X0))
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f322,f137]) ).
fof(f6938,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X1),X0))
| ~ empty(X1) ),
inference(resolution,[],[f322,f134]) ).
fof(f6937,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_dom(relation_composition(X1,X0))
| ~ empty(X0) ),
inference(resolution,[],[f322,f129]) ).
fof(f322,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_composition(X0,X1)) ),
inference(resolution,[],[f169,f213]) ).
fof(f6924,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK16,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6727,f169]) ).
fof(f6923,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK16,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6727,f171]) ).
fof(f6727,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK16,X0)) ),
inference(resolution,[],[f321,f187]) ).
fof(f6909,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6726,f169]) ).
fof(f6908,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6726,f171]) ).
fof(f6726,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK15,X0)) ),
inference(resolution,[],[f321,f186]) ).
fof(f6894,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK13,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6724,f169]) ).
fof(f6893,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK13,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6724,f171]) ).
fof(f6724,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK13,X0)) ),
inference(resolution,[],[f321,f183]) ).
fof(f6879,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6721,f169]) ).
fof(f6878,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6721,f171]) ).
fof(f6721,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(empty_set,X0)) ),
inference(resolution,[],[f321,f125]) ).
fof(f6856,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6770,f169]) ).
fof(f6855,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6770,f171]) ).
fof(f6770,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f6736,f131]) ).
fof(f6833,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6766,f169]) ).
fof(f6832,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6766,f171]) ).
fof(f6766,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f6736,f133]) ).
fof(f6810,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6751,f169]) ).
fof(f6809,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6751,f171]) ).
fof(f6751,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f6732,f131]) ).
fof(f6787,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6747,f169]) ).
fof(f6786,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6747,f171]) ).
fof(f6747,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f6732,f133]) ).
fof(f6768,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6736,f169]) ).
fof(f6767,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6736,f171]) ).
fof(f6736,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(X0))) ),
inference(resolution,[],[f6723,f131]) ).
fof(f6749,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f6732,f169]) ).
fof(f6748,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f6732,f171]) ).
fof(f6732,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(X0))) ),
inference(resolution,[],[f6723,f133]) ).
fof(f6734,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_composition(X0,X1)))
| ~ empty(X1) ),
inference(resolution,[],[f6723,f169]) ).
fof(f6733,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_rng(relation_composition(sK5,relation_composition(X0,X1)))
| ~ empty(X0) ),
inference(resolution,[],[f6723,f171]) ).
fof(f6723,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,X0)) ),
inference(resolution,[],[f321,f119]) ).
fof(f6731,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f6729,f205]) ).
fof(f6729,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK18,X0)) ),
inference(resolution,[],[f321,f192]) ).
fof(f6730,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f6725,f204]) ).
fof(f6725,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK14,X0)) ),
inference(resolution,[],[f321,f185]) ).
fof(f6722,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X1),X0))
| ~ empty(X1) ),
inference(resolution,[],[f321,f132]) ).
fof(f6720,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f321,f170]) ).
fof(f6719,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f321,f172]) ).
fof(f6718,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f321,f177]) ).
fof(f6717,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(function_inverse(X1),X0))
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f321,f137]) ).
fof(f6716,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X1),X0))
| ~ empty(X1) ),
inference(resolution,[],[f321,f134]) ).
fof(f6715,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_rng(relation_composition(X1,X0))
| ~ empty(X0) ),
inference(resolution,[],[f321,f129]) ).
fof(f321,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_composition(X0,X1)) ),
inference(resolution,[],[f169,f212]) ).
fof(f6696,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f447,f131]) ).
fof(f6694,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f447,f169]) ).
fof(f6693,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f447,f171]) ).
fof(f6692,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f447,f133]) ).
fof(f447,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f290,f133]) ).
fof(f6673,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f432,f131]) ).
fof(f6671,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f432,f169]) ).
fof(f6670,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f432,f171]) ).
fof(f6669,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f432,f133]) ).
fof(f432,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f279,f131]) ).
fof(f6650,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f428,f131]) ).
fof(f6648,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f428,f169]) ).
fof(f6647,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f428,f171]) ).
fof(f6646,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f428,f133]) ).
fof(f428,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f279,f133]) ).
fof(f6627,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f413,f131]) ).
fof(f6625,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f413,f169]) ).
fof(f6624,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f413,f171]) ).
fof(f6623,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f413,f133]) ).
fof(f413,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f277,f131]) ).
fof(f6604,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f409,f131]) ).
fof(f6602,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f409,f169]) ).
fof(f6601,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f409,f171]) ).
fof(f6600,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f409,f133]) ).
fof(f409,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f277,f133]) ).
fof(f6581,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f394,f131]) ).
fof(f6579,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f394,f169]) ).
fof(f6578,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f394,f171]) ).
fof(f6577,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f394,f133]) ).
fof(f394,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f266,f131]) ).
fof(f6558,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f390,f131]) ).
fof(f6556,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f390,f169]) ).
fof(f6555,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f390,f171]) ).
fof(f6554,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f390,f133]) ).
fof(f390,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f266,f133]) ).
fof(f6535,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f375,f131]) ).
fof(f6533,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f375,f169]) ).
fof(f6532,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f375,f171]) ).
fof(f6531,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f375,f133]) ).
fof(f375,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f264,f131]) ).
fof(f6512,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f371,f131]) ).
fof(f6510,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f371,f169]) ).
fof(f6509,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f371,f171]) ).
fof(f6508,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f371,f133]) ).
fof(f371,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f264,f133]) ).
fof(f6501,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,sK17) ),
inference(resolution,[],[f3462,f131]) ).
fof(f6499,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK17)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3462,f169]) ).
fof(f6498,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK17)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3462,f171]) ).
fof(f6497,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,sK17) ),
inference(resolution,[],[f3462,f133]) ).
fof(f3462,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK17) = X1
| ~ empty(X0) ),
inference(resolution,[],[f328,f189]) ).
fof(f6490,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,sK16) ),
inference(resolution,[],[f3461,f131]) ).
fof(f6488,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK16)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3461,f169]) ).
fof(f6487,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK16)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3461,f171]) ).
fof(f6486,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,sK16) ),
inference(resolution,[],[f3461,f133]) ).
fof(f3461,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK16) = X1
| ~ empty(X0) ),
inference(resolution,[],[f328,f187]) ).
fof(f6479,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,sK15) ),
inference(resolution,[],[f3460,f131]) ).
fof(f6477,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK15)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3460,f169]) ).
fof(f6476,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK15)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3460,f171]) ).
fof(f6475,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,sK15) ),
inference(resolution,[],[f3460,f133]) ).
fof(f3460,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK15) = X1
| ~ empty(X0) ),
inference(resolution,[],[f328,f186]) ).
fof(f6468,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,sK13) ),
inference(resolution,[],[f3458,f131]) ).
fof(f6466,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK13)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3458,f169]) ).
fof(f6465,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK13)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3458,f171]) ).
fof(f6464,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,sK13) ),
inference(resolution,[],[f3458,f133]) ).
fof(f3458,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK13) = X1
| ~ empty(X0) ),
inference(resolution,[],[f328,f183]) ).
fof(f6457,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,empty_set) ),
inference(resolution,[],[f3455,f131]) ).
fof(f6455,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,empty_set)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3455,f169]) ).
fof(f6454,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,empty_set)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3455,f171]) ).
fof(f6453,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,empty_set) ),
inference(resolution,[],[f3455,f133]) ).
fof(f3455,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,empty_set) = X1
| ~ empty(X0) ),
inference(resolution,[],[f328,f125]) ).
fof(f6446,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(sK17,X0) ),
inference(resolution,[],[f3398,f131]) ).
fof(f6444,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK17,X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3398,f169]) ).
fof(f6443,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK17,X0)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3398,f171]) ).
fof(f6442,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(sK17,X0) ),
inference(resolution,[],[f3398,f133]) ).
fof(f3398,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK17,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f320,f189]) ).
fof(f6435,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(sK16,X0) ),
inference(resolution,[],[f3397,f131]) ).
fof(f6433,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK16,X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3397,f169]) ).
fof(f6432,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK16,X0)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3397,f171]) ).
fof(f6431,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(sK16,X0) ),
inference(resolution,[],[f3397,f133]) ).
fof(f3397,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK16,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f320,f187]) ).
fof(f6424,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(sK15,X0) ),
inference(resolution,[],[f3396,f131]) ).
fof(f6422,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK15,X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3396,f169]) ).
fof(f6421,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK15,X0)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3396,f171]) ).
fof(f6420,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(sK15,X0) ),
inference(resolution,[],[f3396,f133]) ).
fof(f3396,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK15,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f320,f186]) ).
fof(f6413,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(sK13,X0) ),
inference(resolution,[],[f3394,f131]) ).
fof(f6411,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK13,X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3394,f169]) ).
fof(f6410,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK13,X0)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3394,f171]) ).
fof(f6409,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(sK13,X0) ),
inference(resolution,[],[f3394,f133]) ).
fof(f3394,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK13,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f320,f183]) ).
fof(f6402,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(empty_set,X0) ),
inference(resolution,[],[f3391,f131]) ).
fof(f6400,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(empty_set,X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3391,f169]) ).
fof(f6399,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(empty_set,X0)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3391,f171]) ).
fof(f6398,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(empty_set,X0) ),
inference(resolution,[],[f3391,f133]) ).
fof(f3391,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(empty_set,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f320,f125]) ).
fof(f6391,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f523,f131]) ).
fof(f6389,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f523,f169]) ).
fof(f6388,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f523,f171]) ).
fof(f6387,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f523,f133]) ).
fof(f523,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X1,X0) = empty_set
| ~ empty(X0) ),
inference(resolution,[],[f319,f129]) ).
fof(f6372,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_rng(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f360,f131]) ).
fof(f6370,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f360,f169]) ).
fof(f6369,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f360,f171]) ).
fof(f6368,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_dom(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f360,f133]) ).
fof(f360,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f255,f131]) ).
fof(f6353,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_rng(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f356,f131]) ).
fof(f6351,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f356,f169]) ).
fof(f6350,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f356,f171]) ).
fof(f6349,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_dom(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f356,f133]) ).
fof(f356,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f255,f133]) ).
fof(f6330,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4574,f131]) ).
fof(f6328,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4574,f169]) ).
fof(f6327,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4574,f171]) ).
fof(f6326,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4574,f133]) ).
fof(f4574,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4348,f131]) ).
fof(f6307,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4570,f131]) ).
fof(f6305,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4570,f169]) ).
fof(f6304,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4570,f171]) ).
fof(f6303,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4570,f133]) ).
fof(f4570,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4348,f133]) ).
fof(f6284,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4555,f131]) ).
fof(f6282,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4555,f169]) ).
fof(f6281,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4555,f171]) ).
fof(f6280,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4555,f133]) ).
fof(f4555,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4344,f131]) ).
fof(f6261,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4551,f131]) ).
fof(f6259,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4551,f169]) ).
fof(f6258,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4551,f171]) ).
fof(f6257,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4551,f133]) ).
fof(f4551,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4344,f133]) ).
fof(f6238,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4536,f131]) ).
fof(f6236,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4536,f169]) ).
fof(f6235,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4536,f171]) ).
fof(f6234,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4536,f133]) ).
fof(f4536,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4333,f131]) ).
fof(f6215,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4532,f131]) ).
fof(f6213,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4532,f169]) ).
fof(f6212,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4532,f171]) ).
fof(f6211,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4532,f133]) ).
fof(f4532,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4333,f133]) ).
fof(f6192,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4517,f131]) ).
fof(f6190,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4517,f169]) ).
fof(f6189,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4517,f171]) ).
fof(f6188,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4517,f133]) ).
fof(f4517,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4329,f131]) ).
fof(f6169,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4513,f131]) ).
fof(f6167,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4513,f169]) ).
fof(f6166,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4513,f171]) ).
fof(f6165,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4513,f133]) ).
fof(f4513,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4329,f133]) ).
fof(f6150,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_rng(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f345,f131]) ).
fof(f6148,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f345,f169]) ).
fof(f6147,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f345,f171]) ).
fof(f6146,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_dom(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f345,f133]) ).
fof(f345,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f253,f131]) ).
fof(f6127,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4498,f131]) ).
fof(f6125,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4498,f169]) ).
fof(f6124,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4498,f171]) ).
fof(f6123,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4498,f133]) ).
fof(f4498,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4318,f131]) ).
fof(f6104,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4494,f131]) ).
fof(f6102,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4494,f169]) ).
fof(f6101,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4494,f171]) ).
fof(f6100,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4494,f133]) ).
fof(f4494,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4318,f133]) ).
fof(f6081,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4479,f131]) ).
fof(f6079,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4479,f169]) ).
fof(f6078,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4479,f171]) ).
fof(f6077,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4479,f133]) ).
fof(f4479,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4314,f131]) ).
fof(f6058,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4475,f131]) ).
fof(f6056,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4475,f169]) ).
fof(f6055,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4475,f171]) ).
fof(f6054,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4475,f133]) ).
fof(f4475,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4314,f133]) ).
fof(f6035,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4460,f131]) ).
fof(f6033,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4460,f169]) ).
fof(f6032,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4460,f171]) ).
fof(f6031,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4460,f133]) ).
fof(f4460,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4303,f131]) ).
fof(f6012,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4456,f131]) ).
fof(f6010,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4456,f169]) ).
fof(f6009,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4456,f171]) ).
fof(f6008,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4456,f133]) ).
fof(f4456,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4303,f133]) ).
fof(f5989,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4441,f131]) ).
fof(f5987,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4441,f169]) ).
fof(f5986,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4441,f171]) ).
fof(f5985,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4441,f133]) ).
fof(f4441,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4299,f131]) ).
fof(f5966,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4437,f131]) ).
fof(f5964,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4437,f169]) ).
fof(f5963,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4437,f171]) ).
fof(f5962,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4437,f133]) ).
fof(f4437,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4299,f133]) ).
fof(f5943,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4422,f131]) ).
fof(f5941,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4422,f169]) ).
fof(f5940,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4422,f171]) ).
fof(f5939,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4422,f133]) ).
fof(f4422,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4288,f131]) ).
fof(f5920,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4418,f131]) ).
fof(f5918,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4418,f169]) ).
fof(f5917,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4418,f171]) ).
fof(f5916,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4418,f133]) ).
fof(f4418,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4288,f133]) ).
fof(f5897,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4403,f131]) ).
fof(f5895,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4403,f169]) ).
fof(f5894,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4403,f171]) ).
fof(f5893,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4403,f133]) ).
fof(f4403,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4284,f131]) ).
fof(f5878,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_rng(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f341,f131]) ).
fof(f5876,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f341,f169]) ).
fof(f5875,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f341,f171]) ).
fof(f5874,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_dom(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f341,f133]) ).
fof(f341,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f253,f133]) ).
fof(f5855,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4399,f131]) ).
fof(f5853,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4399,f169]) ).
fof(f5852,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4399,f171]) ).
fof(f5851,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4399,f133]) ).
fof(f4399,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4284,f133]) ).
fof(f5832,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4384,f131]) ).
fof(f5830,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4384,f169]) ).
fof(f5829,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4384,f171]) ).
fof(f5828,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4384,f133]) ).
fof(f4384,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4273,f131]) ).
fof(f5809,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4380,f131]) ).
fof(f5807,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4380,f169]) ).
fof(f5806,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4380,f171]) ).
fof(f5805,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4380,f133]) ).
fof(f4380,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4273,f133]) ).
fof(f5786,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4363,f131]) ).
fof(f5784,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4363,f169]) ).
fof(f5783,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4363,f171]) ).
fof(f5782,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4363,f133]) ).
fof(f4363,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f4269,f131]) ).
fof(f5763,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4359,f131]) ).
fof(f5761,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4359,f169]) ).
fof(f5760,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4359,f171]) ).
fof(f5759,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4359,f133]) ).
fof(f4359,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f4269,f133]) ).
fof(f5740,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4237,f131]) ).
fof(f5738,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK17),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4237,f169]) ).
fof(f5737,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK17),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4237,f171]) ).
fof(f5736,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4237,f133]) ).
fof(f4237,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),sK17),sK5) ),
inference(resolution,[],[f4011,f131]) ).
fof(f5717,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4233,f131]) ).
fof(f5715,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK17),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4233,f169]) ).
fof(f5714,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK17),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4233,f171]) ).
fof(f5713,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4233,f133]) ).
fof(f4233,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),sK17),sK5) ),
inference(resolution,[],[f4011,f133]) ).
fof(f5694,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4217,f131]) ).
fof(f5692,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK17),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4217,f169]) ).
fof(f5691,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK17),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4217,f171]) ).
fof(f5690,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4217,f133]) ).
fof(f4217,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),sK17),sK5) ),
inference(resolution,[],[f4007,f131]) ).
fof(f5671,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4213,f131]) ).
fof(f5669,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK17),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4213,f169]) ).
fof(f5668,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK17),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4213,f171]) ).
fof(f5667,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4213,f133]) ).
fof(f4213,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),sK17),sK5) ),
inference(resolution,[],[f4007,f133]) ).
fof(f5648,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK16),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4198,f131]) ).
fof(f5646,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK16),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4198,f169]) ).
fof(f5645,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK16),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4198,f171]) ).
fof(f5644,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK16),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4198,f133]) ).
fof(f4198,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),sK16),sK5) ),
inference(resolution,[],[f3996,f131]) ).
fof(f5625,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK16),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4194,f131]) ).
fof(f5623,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK16),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4194,f169]) ).
fof(f5622,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK16),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4194,f171]) ).
fof(f5621,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK16),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4194,f133]) ).
fof(f4194,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),sK16),sK5) ),
inference(resolution,[],[f3996,f133]) ).
fof(f5620,plain,
! [X0] :
( relation_dom(X0) != empty_set
| sP1(X0,empty_set)
| sK6(X0,empty_set) = apply(empty_set,sK7(X0,empty_set))
| sK7(X0,empty_set) = apply(X0,sK6(X0,empty_set)) ),
inference(superposition,[],[f2766,f219]) ).
fof(f2766,plain,
! [X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK6(X0,X1) = apply(X1,sK7(X0,X1))
| sK7(X0,X1) = apply(X0,sK6(X0,X1)) ),
inference(resolution,[],[f146,f151]) ).
fof(f5601,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK16),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4179,f131]) ).
fof(f5599,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK16),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4179,f169]) ).
fof(f5598,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK16),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4179,f171]) ).
fof(f5597,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK16),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4179,f133]) ).
fof(f4179,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),sK16),sK5) ),
inference(resolution,[],[f3992,f131]) ).
fof(f5578,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK16),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4175,f131]) ).
fof(f5576,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK16),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4175,f169]) ).
fof(f5575,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK16),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4175,f171]) ).
fof(f5574,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK16),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4175,f133]) ).
fof(f4175,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),sK16),sK5) ),
inference(resolution,[],[f3992,f133]) ).
fof(f5555,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4160,f131]) ).
fof(f5553,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK15),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4160,f169]) ).
fof(f5552,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK15),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4160,f171]) ).
fof(f5551,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4160,f133]) ).
fof(f4160,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),sK15),sK5) ),
inference(resolution,[],[f3981,f131]) ).
fof(f5532,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4156,f131]) ).
fof(f5530,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK15),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4156,f169]) ).
fof(f5529,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK15),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4156,f171]) ).
fof(f5528,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4156,f133]) ).
fof(f4156,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),sK15),sK5) ),
inference(resolution,[],[f3981,f133]) ).
fof(f5509,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4141,f131]) ).
fof(f5507,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK15),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4141,f169]) ).
fof(f5506,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK15),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4141,f171]) ).
fof(f5505,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4141,f133]) ).
fof(f4141,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),sK15),sK5) ),
inference(resolution,[],[f3977,f131]) ).
fof(f5486,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4137,f131]) ).
fof(f5484,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK15),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4137,f169]) ).
fof(f5483,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK15),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4137,f171]) ).
fof(f5482,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4137,f133]) ).
fof(f4137,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),sK15),sK5) ),
inference(resolution,[],[f3977,f133]) ).
fof(f5463,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK13),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4122,f131]) ).
fof(f5461,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK13),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4122,f169]) ).
fof(f5460,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK13),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4122,f171]) ).
fof(f5459,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK13),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4122,f133]) ).
fof(f4122,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),sK13),sK5) ),
inference(resolution,[],[f3966,f131]) ).
fof(f5440,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK13),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4118,f131]) ).
fof(f5438,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK13),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4118,f169]) ).
fof(f5437,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK13),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4118,f171]) ).
fof(f5436,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK13),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4118,f133]) ).
fof(f4118,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),sK13),sK5) ),
inference(resolution,[],[f3966,f133]) ).
fof(f5417,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK13),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4103,f131]) ).
fof(f5415,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK13),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4103,f169]) ).
fof(f5414,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK13),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4103,f171]) ).
fof(f5413,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK13),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4103,f133]) ).
fof(f4103,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),sK13),sK5) ),
inference(resolution,[],[f3962,f131]) ).
fof(f5394,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK13),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4099,f131]) ).
fof(f5392,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK13),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4099,f169]) ).
fof(f5391,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK13),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4099,f171]) ).
fof(f5390,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK13),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4099,f133]) ).
fof(f4099,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),sK13),sK5) ),
inference(resolution,[],[f3962,f133]) ).
fof(f5371,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4084,f131]) ).
fof(f5369,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4084,f169]) ).
fof(f5368,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4084,f171]) ).
fof(f5367,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4084,f133]) ).
fof(f4084,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),sK5),sK5) ),
inference(resolution,[],[f3951,f131]) ).
fof(f5366,plain,
! [X0] :
( relation_dom(X0) != empty_set
| in(sK6(X0,empty_set),empty_set)
| sP1(X0,empty_set)
| sK6(X0,empty_set) = apply(empty_set,sK7(X0,empty_set)) ),
inference(forward_demodulation,[],[f5365,f219]) ).
fof(f5365,plain,
! [X0] :
( in(sK6(X0,empty_set),empty_set)
| sP1(X0,empty_set)
| relation_dom(X0) != relation_rng(empty_set)
| sK6(X0,empty_set) = apply(empty_set,sK7(X0,empty_set)) ),
inference(superposition,[],[f2767,f219]) ).
fof(f5364,plain,
! [X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK6(X0,X1) = apply(X1,sK7(X0,X1))
| ~ empty(relation_rng(X1)) ),
inference(resolution,[],[f2767,f179]) ).
fof(f5363,plain,
! [X0,X1] :
( ~ in(relation_rng(X1),sK6(X0,X1))
| relation_dom(X0) != relation_rng(X1)
| sK6(X0,X1) = apply(X1,sK7(X0,X1))
| sP1(X0,X1) ),
inference(resolution,[],[f2767,f166]) ).
fof(f5362,plain,
! [X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK6(X0,X1) = apply(X1,sK7(X0,X1))
| sK6(X0,X1) = apply(X1,apply(function_inverse(X1),sK6(X0,X1)))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f2767,f175]) ).
fof(f5361,plain,
! [X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK6(X0,X1) = apply(X1,sK7(X0,X1))
| sK6(X0,X1) = apply(relation_composition(function_inverse(X1),X1),sK6(X0,X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f2767,f176]) ).
fof(f5360,plain,
! [X2,X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK6(X0,X1) = apply(X1,sK7(X0,X1))
| sK6(X0,X1) = apply(X1,apply(X2,sK6(X0,X1)))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f2767,f2061]) ).
fof(f2767,plain,
! [X0,X1] :
( in(sK6(X0,X1),relation_rng(X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1)
| sK6(X0,X1) = apply(X1,sK7(X0,X1)) ),
inference(resolution,[],[f146,f150]) ).
fof(f5341,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4080,f131]) ).
fof(f5339,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4080,f169]) ).
fof(f5338,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4080,f171]) ).
fof(f5337,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4080,f133]) ).
fof(f4080,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),sK5),sK5) ),
inference(resolution,[],[f3951,f133]) ).
fof(f5318,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4065,f131]) ).
fof(f5316,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4065,f169]) ).
fof(f5315,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4065,f171]) ).
fof(f5314,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4065,f133]) ).
fof(f4065,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),sK5),sK5) ),
inference(resolution,[],[f3947,f131]) ).
fof(f5295,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4061,f131]) ).
fof(f5293,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4061,f169]) ).
fof(f5292,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4061,f171]) ).
fof(f5291,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4061,f133]) ).
fof(f4061,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),sK5),sK5) ),
inference(resolution,[],[f3947,f133]) ).
fof(f5272,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4046,f131]) ).
fof(f5270,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),empty_set),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4046,f169]) ).
fof(f5269,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),empty_set),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4046,f171]) ).
fof(f5268,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4046,f133]) ).
fof(f4046,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),empty_set),sK5) ),
inference(resolution,[],[f3936,f131]) ).
fof(f5249,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4042,f131]) ).
fof(f5247,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),empty_set),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4042,f169]) ).
fof(f5246,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),empty_set),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4042,f171]) ).
fof(f5245,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4042,f133]) ).
fof(f4042,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),empty_set),sK5) ),
inference(resolution,[],[f3936,f133]) ).
fof(f5226,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4027,f131]) ).
fof(f5224,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),empty_set),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4027,f169]) ).
fof(f5223,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),empty_set),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4027,f171]) ).
fof(f5222,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4027,f133]) ).
fof(f4027,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),empty_set),sK5) ),
inference(resolution,[],[f3932,f131]) ).
fof(f5203,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4023,f131]) ).
fof(f5201,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),empty_set),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4023,f169]) ).
fof(f5200,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),empty_set),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4023,f171]) ).
fof(f5199,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4023,f133]) ).
fof(f4023,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),empty_set),sK5) ),
inference(resolution,[],[f3932,f133]) ).
fof(f5176,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3740,f131]) ).
fof(f5174,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3740,f169]) ).
fof(f5173,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3740,f171]) ).
fof(f5172,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3740,f133]) ).
fof(f3740,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f3359,f131]) ).
fof(f5149,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3736,f131]) ).
fof(f5147,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3736,f169]) ).
fof(f5146,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3736,f171]) ).
fof(f5145,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3736,f133]) ).
fof(f3736,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f3359,f133]) ).
fof(f5122,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3717,f131]) ).
fof(f5120,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3717,f169]) ).
fof(f5119,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3717,f171]) ).
fof(f5118,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3717,f133]) ).
fof(f3717,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f3355,f131]) ).
fof(f5095,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3713,f131]) ).
fof(f5093,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3713,f169]) ).
fof(f5092,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3713,f171]) ).
fof(f5091,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3713,f133]) ).
fof(f3713,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f3355,f133]) ).
fof(f5090,plain,
! [X0] :
( relation_dom(X0) != empty_set
| in(sK7(X0,empty_set),empty_set)
| sP1(X0,empty_set)
| sK7(X0,empty_set) = apply(X0,sK6(X0,empty_set)) ),
inference(forward_demodulation,[],[f5089,f219]) ).
fof(f5089,plain,
! [X0] :
( in(sK7(X0,empty_set),empty_set)
| sP1(X0,empty_set)
| relation_dom(X0) != relation_rng(empty_set)
| sK7(X0,empty_set) = apply(X0,sK6(X0,empty_set)) ),
inference(superposition,[],[f2538,f232]) ).
fof(f5088,plain,
! [X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK7(X0,X1) = apply(X0,sK6(X0,X1))
| ~ empty(relation_dom(X1)) ),
inference(resolution,[],[f2538,f179]) ).
fof(f5087,plain,
! [X0,X1] :
( ~ in(relation_dom(X1),sK7(X0,X1))
| relation_dom(X0) != relation_rng(X1)
| sK7(X0,X1) = apply(X0,sK6(X0,X1))
| sP1(X0,X1) ),
inference(resolution,[],[f2538,f166]) ).
fof(f5086,plain,
! [X2,X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK7(X0,X1) = apply(X0,sK6(X0,X1))
| in(apply(X1,sK7(X0,X1)),relation_rng(X1))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f2538,f197]) ).
fof(f5085,plain,
! [X2,X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK7(X0,X1) = apply(X0,sK6(X0,X1))
| sK7(X0,X1) = apply(X2,apply(X1,sK7(X0,X1)))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f2538,f196]) ).
fof(f2538,plain,
! [X0,X1] :
( in(sK7(X0,X1),relation_dom(X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1)
| sK7(X0,X1) = apply(X0,sK6(X0,X1)) ),
inference(resolution,[],[f145,f151]) ).
fof(f5062,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3694,f131]) ).
fof(f5060,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3694,f169]) ).
fof(f5059,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3694,f171]) ).
fof(f5058,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3694,f133]) ).
fof(f3694,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f3340,f131]) ).
fof(f5035,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3690,f131]) ).
fof(f5033,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3690,f169]) ).
fof(f5032,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3690,f171]) ).
fof(f5031,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3690,f133]) ).
fof(f3690,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f3340,f133]) ).
fof(f5008,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3670,f131]) ).
fof(f5006,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3670,f169]) ).
fof(f5005,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3670,f171]) ).
fof(f5004,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3670,f133]) ).
fof(f3670,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f3336,f131]) ).
fof(f4981,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3666,f131]) ).
fof(f4979,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3666,f169]) ).
fof(f4978,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3666,f171]) ).
fof(f4977,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3666,f133]) ).
fof(f3666,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f3336,f133]) ).
fof(f4954,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3647,f131]) ).
fof(f4952,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3647,f169]) ).
fof(f4951,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3647,f171]) ).
fof(f4950,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3647,f133]) ).
fof(f3647,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f3321,f131]) ).
fof(f4927,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3643,f131]) ).
fof(f4925,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3643,f169]) ).
fof(f4924,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3643,f171]) ).
fof(f4923,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3643,f133]) ).
fof(f3643,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f3321,f133]) ).
fof(f4900,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3624,f131]) ).
fof(f4898,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3624,f169]) ).
fof(f4897,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3624,f171]) ).
fof(f4896,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3624,f133]) ).
fof(f3624,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f3317,f131]) ).
fof(f4873,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3620,f131]) ).
fof(f4871,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3620,f169]) ).
fof(f4870,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3620,f171]) ).
fof(f4869,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3620,f133]) ).
fof(f3620,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f3317,f133]) ).
fof(f4846,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3601,f131]) ).
fof(f4844,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3601,f169]) ).
fof(f4843,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3601,f171]) ).
fof(f4842,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3601,f133]) ).
fof(f3601,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f3302,f131]) ).
fof(f4819,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3597,f131]) ).
fof(f4817,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3597,f169]) ).
fof(f4816,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3597,f171]) ).
fof(f4815,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3597,f133]) ).
fof(f3597,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f3302,f133]) ).
fof(f4792,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3578,f131]) ).
fof(f4790,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3578,f169]) ).
fof(f4789,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3578,f171]) ).
fof(f4788,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3578,f133]) ).
fof(f3578,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f3298,f131]) ).
fof(f4787,plain,
! [X0] :
( in(sK6(X0,empty_set),empty_set)
| relation_dom(X0) != empty_set
| in(sK7(X0,empty_set),empty_set)
| sP1(X0,empty_set) ),
inference(forward_demodulation,[],[f4786,f219]) ).
fof(f4786,plain,
! [X0] :
( relation_dom(X0) != empty_set
| in(sK7(X0,empty_set),empty_set)
| sP1(X0,empty_set)
| in(sK6(X0,empty_set),relation_rng(empty_set)) ),
inference(forward_demodulation,[],[f4785,f219]) ).
fof(f4785,plain,
! [X0] :
( in(sK7(X0,empty_set),empty_set)
| sP1(X0,empty_set)
| relation_dom(X0) != relation_rng(empty_set)
| in(sK6(X0,empty_set),relation_rng(empty_set)) ),
inference(superposition,[],[f2539,f232]) ).
fof(f4784,plain,
! [X0,X1] :
( in(sK6(X0,X1),relation_rng(X1))
| relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| ~ empty(relation_dom(X1)) ),
inference(resolution,[],[f2539,f179]) ).
fof(f4783,plain,
! [X0,X1] :
( in(sK6(X0,X1),relation_rng(X1))
| relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| ~ in(relation_dom(X1),sK7(X0,X1)) ),
inference(resolution,[],[f2539,f166]) ).
fof(f4782,plain,
! [X2,X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| in(sK6(X0,X1),relation_rng(X1))
| in(apply(X1,sK7(X0,X1)),relation_rng(X1))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f2539,f197]) ).
fof(f4781,plain,
! [X2,X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| in(sK6(X0,X1),relation_rng(X1))
| sK7(X0,X1) = apply(X2,apply(X1,sK7(X0,X1)))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f2539,f196]) ).
fof(f2539,plain,
! [X0,X1] :
( in(sK7(X0,X1),relation_dom(X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1)
| in(sK6(X0,X1),relation_rng(X1)) ),
inference(resolution,[],[f145,f150]) ).
fof(f4758,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3574,f131]) ).
fof(f4756,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3574,f169]) ).
fof(f4755,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3574,f171]) ).
fof(f4754,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3574,f133]) ).
fof(f3574,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f3298,f133]) ).
fof(f4747,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,relation_rng(X1)),sK5)
| ~ empty(X1) ),
inference(resolution,[],[f3915,f131]) ).
fof(f4745,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),sK5)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3915,f169]) ).
fof(f4744,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),sK5)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3915,f171]) ).
fof(f4743,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,relation_dom(X1)),sK5)
| ~ empty(X1) ),
inference(resolution,[],[f3915,f133]) ).
fof(f3915,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,X1),sK5) ),
inference(resolution,[],[f3250,f129]) ).
fof(f4728,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_rng(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3563,f131]) ).
fof(f4726,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3563,f169]) ).
fof(f4725,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3563,f171]) ).
fof(f4724,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_dom(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3563,f133]) ).
fof(f3563,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_composition(X0,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3470,f131]) ).
fof(f4709,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_rng(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3559,f131]) ).
fof(f4707,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3559,f169]) ).
fof(f4706,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3559,f171]) ).
fof(f4705,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_dom(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3559,f133]) ).
fof(f3559,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_composition(X0,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3470,f133]) ).
fof(f4690,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_rng(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3548,f131]) ).
fof(f4688,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3548,f169]) ).
fof(f4687,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3548,f171]) ).
fof(f4686,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_dom(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3548,f133]) ).
fof(f3548,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_composition(X0,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3466,f131]) ).
fof(f4671,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_rng(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3544,f131]) ).
fof(f4669,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3544,f169]) ).
fof(f4668,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3544,f171]) ).
fof(f4667,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_dom(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3544,f133]) ).
fof(f3544,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_composition(X0,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3466,f133]) ).
fof(f4652,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_rng(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f3533,f131]) ).
fof(f4650,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3533,f169]) ).
fof(f4649,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3533,f171]) ).
fof(f4648,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_dom(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f3533,f133]) ).
fof(f3533,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_composition(sK5,X0)
| ~ empty(X0) ),
inference(resolution,[],[f3406,f131]) ).
fof(f4633,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_rng(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f3529,f131]) ).
fof(f4631,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3529,f169]) ).
fof(f4630,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3529,f171]) ).
fof(f4629,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_dom(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f3529,f133]) ).
fof(f3529,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_composition(sK5,X0)
| ~ empty(X0) ),
inference(resolution,[],[f3406,f133]) ).
fof(f4614,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_rng(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f3518,f131]) ).
fof(f4612,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3518,f169]) ).
fof(f4611,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3518,f171]) ).
fof(f4610,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_dom(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f3518,f133]) ).
fof(f3518,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_composition(sK5,X0)
| ~ empty(X0) ),
inference(resolution,[],[f3402,f131]) ).
fof(f4595,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_rng(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f3514,f131]) ).
fof(f4593,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3514,f169]) ).
fof(f4592,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3514,f171]) ).
fof(f4591,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_dom(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f3514,f133]) ).
fof(f3514,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_composition(sK5,X0)
| ~ empty(X0) ),
inference(resolution,[],[f3402,f133]) ).
fof(f1152,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ relation(X0)
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| function_inverse(X1) = X0 ),
inference(resolution,[],[f153,f140]) ).
fof(f4572,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4348,f169]) ).
fof(f4571,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4348,f171]) ).
fof(f4348,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_rng(X0)),sK5) ),
inference(resolution,[],[f4265,f131]) ).
fof(f4553,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4344,f169]) ).
fof(f4552,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4344,f171]) ).
fof(f4344,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_dom(X0)),sK5) ),
inference(resolution,[],[f4265,f133]) ).
fof(f4534,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4333,f169]) ).
fof(f4533,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4333,f171]) ).
fof(f4333,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK16,relation_rng(X0)),sK5) ),
inference(resolution,[],[f4264,f131]) ).
fof(f4515,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4329,f169]) ).
fof(f4514,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4329,f171]) ).
fof(f4329,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK16,relation_dom(X0)),sK5) ),
inference(resolution,[],[f4264,f133]) ).
fof(f4496,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4318,f169]) ).
fof(f4495,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4318,f171]) ).
fof(f4318,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_rng(X0)),sK5) ),
inference(resolution,[],[f4263,f131]) ).
fof(f4477,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4314,f169]) ).
fof(f4476,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4314,f171]) ).
fof(f4314,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_dom(X0)),sK5) ),
inference(resolution,[],[f4263,f133]) ).
fof(f4458,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4303,f169]) ).
fof(f4457,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4303,f171]) ).
fof(f4303,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK13,relation_rng(X0)),sK5) ),
inference(resolution,[],[f4261,f131]) ).
fof(f4439,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4299,f169]) ).
fof(f4438,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4299,f171]) ).
fof(f4299,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK13,relation_dom(X0)),sK5) ),
inference(resolution,[],[f4261,f133]) ).
fof(f4420,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4288,f169]) ).
fof(f4419,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4288,f171]) ).
fof(f4288,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_rng(X0)),sK5) ),
inference(resolution,[],[f4260,f131]) ).
fof(f4401,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4284,f169]) ).
fof(f4400,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4284,f171]) ).
fof(f4284,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(X0)),sK5) ),
inference(resolution,[],[f4260,f133]) ).
fof(f4382,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4273,f169]) ).
fof(f4381,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4273,f171]) ).
fof(f4273,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_rng(X0)),sK5) ),
inference(resolution,[],[f4258,f131]) ).
fof(f4379,plain,
! [X0,X1] :
( ~ in(X0,empty_set)
| apply(empty_set,apply(X1,X0)) = X0
| ~ sP1(X1,empty_set) ),
inference(superposition,[],[f2061,f219]) ).
fof(f4378,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| sK10(relation_rng(X0)) = apply(X0,apply(X1,sK10(relation_rng(X0))))
| empty(relation_rng(X0)) ),
inference(resolution,[],[f2061,f316]) ).
fof(f2061,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(X1))
| apply(X1,apply(X2,X0)) = X0
| ~ sP1(X2,X1) ),
inference(resolution,[],[f199,f142]) ).
fof(f4361,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4269,f169]) ).
fof(f4360,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4269,f171]) ).
fof(f4269,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_dom(X0)),sK5) ),
inference(resolution,[],[f4258,f133]) ).
fof(f4346,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4265,f169]) ).
fof(f4345,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4265,f171]) ).
fof(f4265,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,X0),sK5) ),
inference(resolution,[],[f3251,f189]) ).
fof(f4331,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4264,f169]) ).
fof(f4330,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4264,f171]) ).
fof(f4264,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK16,X0),sK5) ),
inference(resolution,[],[f3251,f187]) ).
fof(f4316,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4263,f169]) ).
fof(f4315,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4263,f171]) ).
fof(f4263,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,X0),sK5) ),
inference(resolution,[],[f3251,f186]) ).
fof(f4301,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4261,f169]) ).
fof(f4300,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK13,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4261,f171]) ).
fof(f4261,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK13,X0),sK5) ),
inference(resolution,[],[f3251,f183]) ).
fof(f4286,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4260,f169]) ).
fof(f4285,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4260,f171]) ).
fof(f4260,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,X0),sK5) ),
inference(resolution,[],[f3251,f119]) ).
fof(f4271,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4258,f169]) ).
fof(f4270,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4258,f171]) ).
fof(f4258,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,X0),sK5) ),
inference(resolution,[],[f3251,f125]) ).
fof(f4268,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,X0),sK5)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f4266,f205]) ).
fof(f4266,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,X0),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3251,f192]) ).
fof(f4267,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,X0),sK5)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f4262,f204]) ).
fof(f4262,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK14,X0),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3251,f185]) ).
fof(f4259,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_composition(relation_rng(X0),X1),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3251,f132]) ).
fof(f4257,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),X2),sK5)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3251,f170]) ).
fof(f4256,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),X2),sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3251,f172]) ).
fof(f4255,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),X2),sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f3251,f177]) ).
fof(f4254,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(function_inverse(X0),X1),sK5)
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f3251,f137]) ).
fof(f4253,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_composition(relation_dom(X0),X1),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3251,f134]) ).
fof(f4252,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK5)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3251,f129]) ).
fof(f3251,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(relation_composition(X0,X1),sK5)
| ~ empty(X1) ),
inference(resolution,[],[f3240,f169]) ).
fof(f4235,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK17),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4011,f169]) ).
fof(f4234,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK17),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4011,f171]) ).
fof(f4011,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),sK17),sK5) ),
inference(resolution,[],[f3928,f131]) ).
fof(f1250,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK9(X1) = apply(X0,apply(X1,sK9(X1)))
| sP3(X1) ),
inference(resolution,[],[f196,f158]) ).
fof(f4215,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK17),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4007,f169]) ).
fof(f4214,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK17),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4007,f171]) ).
fof(f4007,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),sK17),sK5) ),
inference(resolution,[],[f3928,f133]) ).
fof(f4196,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK16),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3996,f169]) ).
fof(f4195,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK16),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3996,f171]) ).
fof(f3996,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),sK16),sK5) ),
inference(resolution,[],[f3927,f131]) ).
fof(f4177,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK16),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3992,f169]) ).
fof(f4176,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK16),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3992,f171]) ).
fof(f3992,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),sK16),sK5) ),
inference(resolution,[],[f3927,f133]) ).
fof(f4158,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK15),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3981,f169]) ).
fof(f4157,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK15),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3981,f171]) ).
fof(f3981,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),sK15),sK5) ),
inference(resolution,[],[f3926,f131]) ).
fof(f4139,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK15),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3977,f169]) ).
fof(f4138,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK15),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3977,f171]) ).
fof(f3977,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),sK15),sK5) ),
inference(resolution,[],[f3926,f133]) ).
fof(f4120,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK13),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3966,f169]) ).
fof(f4119,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK13),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3966,f171]) ).
fof(f3966,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),sK13),sK5) ),
inference(resolution,[],[f3924,f131]) ).
fof(f4101,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK13),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3962,f169]) ).
fof(f4100,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK13),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3962,f171]) ).
fof(f3962,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),sK13),sK5) ),
inference(resolution,[],[f3924,f133]) ).
fof(f4082,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK5),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3951,f169]) ).
fof(f4081,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK5),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3951,f171]) ).
fof(f3951,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),sK5),sK5) ),
inference(resolution,[],[f3923,f131]) ).
fof(f4063,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK5),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3947,f169]) ).
fof(f4062,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK5),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3947,f171]) ).
fof(f3947,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),sK5),sK5) ),
inference(resolution,[],[f3923,f133]) ).
fof(f4044,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),empty_set),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3936,f169]) ).
fof(f4043,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),empty_set),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3936,f171]) ).
fof(f3936,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),empty_set),sK5) ),
inference(resolution,[],[f3921,f131]) ).
fof(f4025,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),empty_set),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3932,f169]) ).
fof(f4024,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),empty_set),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3932,f171]) ).
fof(f3932,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),empty_set),sK5) ),
inference(resolution,[],[f3921,f133]) ).
fof(f1249,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK8(X1) = apply(X0,apply(X1,sK8(X1)))
| sP3(X1) ),
inference(resolution,[],[f196,f157]) ).
fof(f4009,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK17),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3928,f169]) ).
fof(f4008,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK17),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3928,f171]) ).
fof(f3928,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK17),sK5) ),
inference(resolution,[],[f3250,f189]) ).
fof(f3994,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK16),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3927,f169]) ).
fof(f3993,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK16),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3927,f171]) ).
fof(f3927,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK16),sK5) ),
inference(resolution,[],[f3250,f187]) ).
fof(f3979,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK15),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3926,f169]) ).
fof(f3978,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK15),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3926,f171]) ).
fof(f3926,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK15),sK5) ),
inference(resolution,[],[f3250,f186]) ).
fof(f3964,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK13),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3924,f169]) ).
fof(f3963,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK13),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3924,f171]) ).
fof(f3924,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK13),sK5) ),
inference(resolution,[],[f3250,f183]) ).
fof(f3949,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK5),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3923,f169]) ).
fof(f3948,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK5),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3923,f171]) ).
fof(f3923,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK5),sK5) ),
inference(resolution,[],[f3250,f119]) ).
fof(f3934,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),empty_set),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3921,f169]) ).
fof(f3933,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),empty_set),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3921,f171]) ).
fof(f3921,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,empty_set),sK5) ),
inference(resolution,[],[f3250,f125]) ).
fof(f3931,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,empty_set),sK5)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f3929,f205]) ).
fof(f3929,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3250,f192]) ).
fof(f3930,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,empty_set),sK5)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f3925,f204]) ).
fof(f3925,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,sK14),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3250,f185]) ).
fof(f3922,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,relation_rng(X1)),sK5) ),
inference(resolution,[],[f3250,f132]) ).
fof(f3920,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),sK5)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3250,f170]) ).
fof(f3919,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),sK5)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3250,f172]) ).
fof(f3918,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),sK5)
| ~ empty(X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f3250,f177]) ).
fof(f3917,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,function_inverse(X1)),sK5)
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f3250,f137]) ).
fof(f3916,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,relation_dom(X1)),sK5) ),
inference(resolution,[],[f3250,f134]) ).
fof(f3250,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(relation_composition(X0,X1),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3240,f171]) ).
fof(f3902,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3499,f169]) ).
fof(f3901,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3499,f171]) ).
fof(f3499,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),sK17) ),
inference(resolution,[],[f3245,f131]) ).
fof(f3887,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3495,f169]) ).
fof(f3886,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3495,f171]) ).
fof(f3495,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),sK17) ),
inference(resolution,[],[f3245,f133]) ).
fof(f3884,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| in(apply(X0,X1),empty_set)
| ~ sP1(X0,empty_set) ),
inference(forward_demodulation,[],[f3883,f219]) ).
fof(f3883,plain,
! [X0,X1] :
( in(apply(X0,X1),empty_set)
| ~ in(X1,relation_rng(empty_set))
| ~ sP1(X0,empty_set) ),
inference(superposition,[],[f1422,f232]) ).
fof(f3880,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ sP1(X2,X1)
| in(apply(X1,apply(X2,X0)),relation_rng(X1))
| ~ sP1(X3,X1) ),
inference(resolution,[],[f1422,f197]) ).
fof(f3879,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ sP1(X2,X1)
| apply(X2,X0) = apply(X3,apply(X1,apply(X2,X0)))
| ~ sP1(X3,X1) ),
inference(resolution,[],[f1422,f196]) ).
fof(f1422,plain,
! [X2,X0,X1] :
( in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_rng(X1))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f200,f142]) ).
fof(f3866,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK16)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3481,f169]) ).
fof(f3865,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK16)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3481,f171]) ).
fof(f3481,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),sK16) ),
inference(resolution,[],[f3244,f131]) ).
fof(f3851,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK16)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3477,f169]) ).
fof(f3850,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK16)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3477,f171]) ).
fof(f3477,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),sK16) ),
inference(resolution,[],[f3244,f133]) ).
fof(f3836,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3435,f169]) ).
fof(f3835,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3435,f171]) ).
fof(f3435,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),sK15) ),
inference(resolution,[],[f3243,f131]) ).
fof(f3821,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3431,f169]) ).
fof(f3820,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3431,f171]) ).
fof(f3431,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),sK15) ),
inference(resolution,[],[f3243,f133]) ).
fof(f3806,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK13)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3417,f169]) ).
fof(f3805,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK13)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3417,f171]) ).
fof(f3417,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),sK13) ),
inference(resolution,[],[f3241,f131]) ).
fof(f3791,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK13)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3413,f169]) ).
fof(f3790,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK13)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3413,f171]) ).
fof(f3413,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),sK13) ),
inference(resolution,[],[f3241,f133]) ).
fof(f3776,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3378,f169]) ).
fof(f3775,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3378,f171]) ).
fof(f3378,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),empty_set) ),
inference(resolution,[],[f3238,f131]) ).
fof(f3761,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3374,f169]) ).
fof(f3760,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3374,f171]) ).
fof(f3374,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),empty_set) ),
inference(resolution,[],[f3238,f133]) ).
fof(f3738,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3359,f169]) ).
fof(f3737,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3359,f171]) ).
fof(f3359,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f3287,f131]) ).
fof(f3715,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3355,f169]) ).
fof(f3714,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3355,f171]) ).
fof(f3355,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f3287,f133]) ).
fof(f3692,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3340,f169]) ).
fof(f3691,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3340,f171]) ).
fof(f3340,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f3283,f131]) ).
fof(f1190,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| in(apply(X0,sK9(X0)),relation_rng(X0))
| sP3(X0) ),
inference(resolution,[],[f197,f158]) ).
fof(f3668,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3336,f169]) ).
fof(f3667,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3336,f171]) ).
fof(f3336,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f3283,f133]) ).
fof(f3645,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3321,f169]) ).
fof(f3644,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3321,f171]) ).
fof(f3321,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f3272,f131]) ).
fof(f3622,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3317,f169]) ).
fof(f3621,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3317,f171]) ).
fof(f3317,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f3272,f133]) ).
fof(f3599,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3302,f169]) ).
fof(f3598,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3302,f171]) ).
fof(f3302,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f3268,f131]) ).
fof(f3576,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3298,f169]) ).
fof(f3575,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3298,f171]) ).
fof(f3298,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f3268,f133]) ).
fof(f3561,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_composition(X0,sK5)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3470,f169]) ).
fof(f3560,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_composition(X0,sK5)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3470,f171]) ).
fof(f3470,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,sK5) ),
inference(resolution,[],[f3457,f131]) ).
fof(f3546,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(X0,sK5)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3466,f169]) ).
fof(f3545,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(X0,sK5)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3466,f171]) ).
fof(f3466,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,sK5) ),
inference(resolution,[],[f3457,f133]) ).
fof(f3531,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_composition(sK5,X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3406,f169]) ).
fof(f3530,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_composition(sK5,X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3406,f171]) ).
fof(f3406,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(sK5,X0) ),
inference(resolution,[],[f3393,f131]) ).
fof(f3516,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(sK5,X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3402,f169]) ).
fof(f3515,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(sK5,X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3402,f171]) ).
fof(f3402,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(sK5,X0) ),
inference(resolution,[],[f3393,f133]) ).
fof(f1189,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| in(apply(X0,sK8(X0)),relation_rng(X0))
| sP3(X0) ),
inference(resolution,[],[f197,f157]) ).
fof(f3498,plain,
empty_set = relation_composition(empty_set,sK17),
inference(resolution,[],[f3245,f123]) ).
fof(f3505,plain,
empty_set = relation_composition(empty_set,sK17),
inference(forward_demodulation,[],[f3502,f205]) ).
fof(f3502,plain,
empty_set = relation_composition(sK18,sK17),
inference(resolution,[],[f3245,f193]) ).
fof(f3504,plain,
empty_set = relation_composition(empty_set,sK17),
inference(forward_demodulation,[],[f3501,f204]) ).
fof(f3501,plain,
empty_set = relation_composition(sK14,sK17),
inference(resolution,[],[f3245,f184]) ).
fof(f3503,plain,
empty_set = relation_composition(empty_set,sK17),
inference(forward_demodulation,[],[f3500,f203]) ).
fof(f3500,plain,
empty_set = relation_composition(sK12,sK17),
inference(resolution,[],[f3245,f181]) ).
fof(f3497,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3245,f169]) ).
fof(f3496,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3245,f171]) ).
fof(f3245,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK17) ),
inference(resolution,[],[f327,f189]) ).
fof(f3480,plain,
empty_set = relation_composition(empty_set,sK16),
inference(resolution,[],[f3244,f123]) ).
fof(f3487,plain,
empty_set = relation_composition(empty_set,sK16),
inference(forward_demodulation,[],[f3484,f205]) ).
fof(f3484,plain,
empty_set = relation_composition(sK18,sK16),
inference(resolution,[],[f3244,f193]) ).
fof(f3486,plain,
empty_set = relation_composition(empty_set,sK16),
inference(forward_demodulation,[],[f3483,f204]) ).
fof(f3483,plain,
empty_set = relation_composition(sK14,sK16),
inference(resolution,[],[f3244,f184]) ).
fof(f3485,plain,
empty_set = relation_composition(empty_set,sK16),
inference(forward_demodulation,[],[f3482,f203]) ).
fof(f3482,plain,
empty_set = relation_composition(sK12,sK16),
inference(resolution,[],[f3244,f181]) ).
fof(f3479,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK16)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3244,f169]) ).
fof(f3478,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK16)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3244,f171]) ).
fof(f3244,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK16) ),
inference(resolution,[],[f327,f187]) ).
fof(f3468,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| ~ empty(X0)
| relation_composition(X1,X2) = relation_composition(X0,sK5)
| ~ empty(X2) ),
inference(resolution,[],[f3457,f169]) ).
fof(f3467,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ empty(X0)
| relation_composition(X1,X2) = relation_composition(X0,sK5)
| ~ empty(X1) ),
inference(resolution,[],[f3457,f171]) ).
fof(f3457,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK5) = X1
| ~ empty(X0) ),
inference(resolution,[],[f328,f119]) ).
fof(f3465,plain,
! [X0,X1] :
( relation_composition(X0,empty_set) = X1
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f3463,f205]) ).
fof(f3463,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(X0,sK18) = X1
| ~ empty(X1) ),
inference(resolution,[],[f328,f192]) ).
fof(f3464,plain,
! [X0,X1] :
( relation_composition(X0,empty_set) = X1
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f3459,f204]) ).
fof(f3459,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(X0,sK14) = X1
| ~ empty(X1) ),
inference(resolution,[],[f328,f185]) ).
fof(f3454,plain,
! [X2,X3,X0,X1] :
( ~ relation(X1)
| relation_composition(X0,relation_composition(X1,X2)) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f328,f170]) ).
fof(f3453,plain,
! [X2,X3,X0,X1] :
( ~ relation(X2)
| relation_composition(X0,relation_composition(X1,X2)) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f328,f172]) ).
fof(f3452,plain,
! [X2,X3,X0,X1] :
( ~ relation(X2)
| relation_composition(X0,relation_composition(X1,X2)) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f328,f177]) ).
fof(f3449,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_composition(X0,X1) = X2
| ~ empty(X2)
| ~ empty(X1) ),
inference(resolution,[],[f328,f129]) ).
fof(f328,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| relation_composition(X1,X0) = X2
| ~ empty(X2) ),
inference(resolution,[],[f171,f178]) ).
fof(f3434,plain,
empty_set = relation_composition(empty_set,sK15),
inference(resolution,[],[f3243,f123]) ).
fof(f3441,plain,
empty_set = relation_composition(empty_set,sK15),
inference(forward_demodulation,[],[f3438,f205]) ).
fof(f3438,plain,
empty_set = relation_composition(sK18,sK15),
inference(resolution,[],[f3243,f193]) ).
fof(f3440,plain,
empty_set = relation_composition(empty_set,sK15),
inference(forward_demodulation,[],[f3437,f204]) ).
fof(f3437,plain,
empty_set = relation_composition(sK14,sK15),
inference(resolution,[],[f3243,f184]) ).
fof(f3439,plain,
empty_set = relation_composition(empty_set,sK15),
inference(forward_demodulation,[],[f3436,f203]) ).
fof(f3436,plain,
empty_set = relation_composition(sK12,sK15),
inference(resolution,[],[f3243,f181]) ).
fof(f3433,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3243,f169]) ).
fof(f3432,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3243,f171]) ).
fof(f3243,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK15) ),
inference(resolution,[],[f327,f186]) ).
fof(f3416,plain,
empty_set = relation_composition(empty_set,sK13),
inference(resolution,[],[f3241,f123]) ).
fof(f3423,plain,
empty_set = relation_composition(empty_set,sK13),
inference(forward_demodulation,[],[f3420,f205]) ).
fof(f3420,plain,
empty_set = relation_composition(sK18,sK13),
inference(resolution,[],[f3241,f193]) ).
fof(f3422,plain,
empty_set = relation_composition(empty_set,sK13),
inference(forward_demodulation,[],[f3419,f204]) ).
fof(f3419,plain,
empty_set = relation_composition(sK14,sK13),
inference(resolution,[],[f3241,f184]) ).
fof(f3421,plain,
empty_set = relation_composition(empty_set,sK13),
inference(forward_demodulation,[],[f3418,f203]) ).
fof(f3418,plain,
empty_set = relation_composition(sK12,sK13),
inference(resolution,[],[f3241,f181]) ).
fof(f3415,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK13)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3241,f169]) ).
fof(f3414,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK13)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3241,f171]) ).
fof(f3241,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK13) ),
inference(resolution,[],[f327,f183]) ).
fof(f3404,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| ~ empty(X0)
| relation_composition(X1,X2) = relation_composition(sK5,X0)
| ~ empty(X2) ),
inference(resolution,[],[f3393,f169]) ).
fof(f3403,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ empty(X0)
| relation_composition(X1,X2) = relation_composition(sK5,X0)
| ~ empty(X1) ),
inference(resolution,[],[f3393,f171]) ).
fof(f3393,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK5,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f320,f119]) ).
fof(f3401,plain,
! [X0,X1] :
( relation_composition(empty_set,X0) = X1
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f3399,f205]) ).
fof(f3399,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(sK18,X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f320,f192]) ).
fof(f3400,plain,
! [X0,X1] :
( relation_composition(empty_set,X0) = X1
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f3395,f204]) ).
fof(f3395,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(sK14,X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f320,f185]) ).
fof(f3390,plain,
! [X2,X3,X0,X1] :
( ~ relation(X1)
| relation_composition(relation_composition(X1,X2),X0) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f320,f170]) ).
fof(f3389,plain,
! [X2,X3,X0,X1] :
( ~ relation(X2)
| relation_composition(relation_composition(X1,X2),X0) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f320,f172]) ).
fof(f3388,plain,
! [X2,X3,X0,X1] :
( ~ relation(X2)
| relation_composition(relation_composition(X1,X2),X0) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f320,f177]) ).
fof(f320,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| relation_composition(X0,X1) = X2
| ~ empty(X2) ),
inference(resolution,[],[f169,f178]) ).
fof(f3376,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3238,f169]) ).
fof(f3375,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3238,f171]) ).
fof(f3238,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,empty_set) ),
inference(resolution,[],[f327,f125]) ).
fof(f3357,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3287,f169]) ).
fof(f3356,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3287,f171]) ).
fof(f3287,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),sK5) ),
inference(resolution,[],[f3253,f131]) ).
fof(f3338,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3283,f169]) ).
fof(f3337,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3283,f171]) ).
fof(f3283,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),sK5) ),
inference(resolution,[],[f3253,f133]) ).
fof(f3319,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3272,f169]) ).
fof(f3318,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3272,f171]) ).
fof(f3272,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),sK5) ),
inference(resolution,[],[f3249,f131]) ).
fof(f3300,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3268,f169]) ).
fof(f3299,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3268,f171]) ).
fof(f3268,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),sK5) ),
inference(resolution,[],[f3249,f133]) ).
fof(f3285,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK5)
| ~ empty(X1) ),
inference(resolution,[],[f3253,f169]) ).
fof(f3284,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3253,f171]) ).
fof(f3253,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),sK5) ),
inference(resolution,[],[f3240,f131]) ).
fof(f3270,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK5)
| ~ empty(X1) ),
inference(resolution,[],[f3249,f169]) ).
fof(f3269,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3249,f171]) ).
fof(f3249,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),sK5) ),
inference(resolution,[],[f3240,f133]) ).
fof(f3252,plain,
empty_set = relation_composition(empty_set,sK5),
inference(resolution,[],[f3240,f123]) ).
fof(f3259,plain,
empty_set = relation_composition(empty_set,sK5),
inference(forward_demodulation,[],[f3256,f205]) ).
fof(f3256,plain,
empty_set = relation_composition(sK18,sK5),
inference(resolution,[],[f3240,f193]) ).
fof(f3258,plain,
empty_set = relation_composition(empty_set,sK5),
inference(forward_demodulation,[],[f3255,f204]) ).
fof(f3255,plain,
empty_set = relation_composition(sK14,sK5),
inference(resolution,[],[f3240,f184]) ).
fof(f3257,plain,
empty_set = relation_composition(empty_set,sK5),
inference(forward_demodulation,[],[f3254,f203]) ).
fof(f3254,plain,
empty_set = relation_composition(sK12,sK5),
inference(resolution,[],[f3240,f181]) ).
fof(f3240,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK5) ),
inference(resolution,[],[f327,f119]) ).
fof(f3248,plain,
! [X0] :
( empty_set = relation_composition(X0,empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f3246,f205]) ).
fof(f3246,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK18) ),
inference(resolution,[],[f327,f192]) ).
fof(f3247,plain,
! [X0] :
( empty_set = relation_composition(X0,empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f3242,f204]) ).
fof(f3242,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK14) ),
inference(resolution,[],[f327,f185]) ).
fof(f3232,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(X0,X1) = empty_set
| ~ empty(X1) ),
inference(resolution,[],[f327,f129]) ).
fof(f327,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| relation_composition(X1,X0) = empty_set ),
inference(resolution,[],[f171,f130]) ).
fof(f3213,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1731,f131]) ).
fof(f3211,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1731,f169]) ).
fof(f3210,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1731,f171]) ).
fof(f3209,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1731,f133]) ).
fof(f1731,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f1502,f131]) ).
fof(f3190,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1727,f131]) ).
fof(f3188,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1727,f169]) ).
fof(f3187,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1727,f171]) ).
fof(f3186,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1727,f133]) ).
fof(f1727,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f1502,f133]) ).
fof(f3167,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1712,f131]) ).
fof(f3165,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1712,f169]) ).
fof(f3164,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1712,f171]) ).
fof(f3163,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1712,f133]) ).
fof(f1712,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f1498,f131]) ).
fof(f3144,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1708,f131]) ).
fof(f3142,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1708,f169]) ).
fof(f3141,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1708,f171]) ).
fof(f3140,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1708,f133]) ).
fof(f1708,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f1498,f133]) ).
fof(f3121,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1693,f131]) ).
fof(f3119,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1693,f169]) ).
fof(f3118,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1693,f171]) ).
fof(f3117,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1693,f133]) ).
fof(f1693,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f1487,f131]) ).
fof(f3098,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1689,f131]) ).
fof(f3096,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1689,f169]) ).
fof(f3095,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1689,f171]) ).
fof(f3094,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1689,f133]) ).
fof(f1689,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f1487,f133]) ).
fof(f3075,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1674,f131]) ).
fof(f3073,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1674,f169]) ).
fof(f3072,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1674,f171]) ).
fof(f3071,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1674,f133]) ).
fof(f1674,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f1483,f131]) ).
fof(f3052,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1670,f131]) ).
fof(f3050,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1670,f169]) ).
fof(f3049,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1670,f171]) ).
fof(f3048,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1670,f133]) ).
fof(f1670,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f1483,f133]) ).
fof(f3029,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1655,f131]) ).
fof(f3027,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1655,f169]) ).
fof(f3026,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1655,f171]) ).
fof(f3025,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1655,f133]) ).
fof(f1655,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f1472,f131]) ).
fof(f147,plain,
! [X0,X1] :
( ~ sP0(sK6(X0,X1),sK7(X0,X1),X1,X0)
| sK7(X0,X1) != apply(X0,sK6(X0,X1))
| ~ in(sK6(X0,X1),relation_rng(X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f3003,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1651,f131]) ).
fof(f3001,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1651,f169]) ).
fof(f3000,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1651,f171]) ).
fof(f2999,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1651,f133]) ).
fof(f1651,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f1472,f133]) ).
fof(f2980,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1636,f131]) ).
fof(f2978,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1636,f169]) ).
fof(f2977,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1636,f171]) ).
fof(f2976,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1636,f133]) ).
fof(f1636,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f1468,f131]) ).
fof(f2957,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1632,f131]) ).
fof(f2955,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1632,f169]) ).
fof(f2954,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1632,f171]) ).
fof(f2953,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1632,f133]) ).
fof(f1632,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f1468,f133]) ).
fof(f2934,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1617,f131]) ).
fof(f2932,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1617,f169]) ).
fof(f2931,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1617,f171]) ).
fof(f2930,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1617,f133]) ).
fof(f1617,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f1457,f131]) ).
fof(f2911,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1613,f131]) ).
fof(f2909,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1613,f169]) ).
fof(f2908,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1613,f171]) ).
fof(f2907,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1613,f133]) ).
fof(f1613,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f1457,f133]) ).
fof(f2888,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1598,f131]) ).
fof(f2886,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1598,f169]) ).
fof(f2885,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1598,f171]) ).
fof(f2884,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1598,f133]) ).
fof(f1598,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f1453,f131]) ).
fof(f2865,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1594,f131]) ).
fof(f2863,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1594,f169]) ).
fof(f2862,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1594,f171]) ).
fof(f2861,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1594,f133]) ).
fof(f1594,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f1453,f133]) ).
fof(f2842,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1579,f131]) ).
fof(f2840,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1579,f169]) ).
fof(f2839,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1579,f171]) ).
fof(f2838,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1579,f133]) ).
fof(f1579,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f1442,f131]) ).
fof(f2819,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1575,f131]) ).
fof(f2817,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1575,f169]) ).
fof(f2816,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1575,f171]) ).
fof(f2815,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1575,f133]) ).
fof(f1575,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f1442,f133]) ).
fof(f2796,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1555,f131]) ).
fof(f2794,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1555,f169]) ).
fof(f2793,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1555,f171]) ).
fof(f2792,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1555,f133]) ).
fof(f1555,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f1438,f131]) ).
fof(f2773,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1551,f131]) ).
fof(f2771,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1551,f169]) ).
fof(f2770,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1551,f171]) ).
fof(f2769,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1551,f133]) ).
fof(f1551,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f1438,f133]) ).
fof(f146,plain,
! [X0,X1] :
( ~ sP0(sK6(X0,X1),sK7(X0,X1),X1,X0)
| sK6(X0,X1) = apply(X1,sK7(X0,X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f2747,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1536,f131]) ).
fof(f2745,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1536,f169]) ).
fof(f2744,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1536,f171]) ).
fof(f2743,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1536,f133]) ).
fof(f1536,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f1427,f131]) ).
fof(f2724,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1532,f131]) ).
fof(f2722,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1532,f169]) ).
fof(f2721,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1532,f171]) ).
fof(f2720,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1532,f133]) ).
fof(f1532,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f1427,f133]) ).
fof(f2701,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1517,f131]) ).
fof(f2699,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1517,f169]) ).
fof(f2698,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1517,f171]) ).
fof(f2697,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1517,f133]) ).
fof(f1517,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f1423,f131]) ).
fof(f2678,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1513,f131]) ).
fof(f2676,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1513,f169]) ).
fof(f2675,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1513,f171]) ).
fof(f2674,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1513,f133]) ).
fof(f1513,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f1423,f133]) ).
fof(f2659,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f1392,f131]) ).
fof(f2657,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1392,f169]) ).
fof(f2656,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1392,f171]) ).
fof(f2655,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f1392,f133]) ).
fof(f1392,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),sK17)) ),
inference(resolution,[],[f1198,f131]) ).
fof(f2640,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f1388,f131]) ).
fof(f2638,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1388,f169]) ).
fof(f2637,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1388,f171]) ).
fof(f2636,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f1388,f133]) ).
fof(f1388,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),sK17)) ),
inference(resolution,[],[f1198,f133]) ).
fof(f2621,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f1377,f131]) ).
fof(f2619,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1377,f169]) ).
fof(f2618,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1377,f171]) ).
fof(f2617,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f1377,f133]) ).
fof(f1377,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),sK17)) ),
inference(resolution,[],[f1194,f131]) ).
fof(f2602,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f1373,f131]) ).
fof(f2600,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1373,f169]) ).
fof(f2599,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1373,f171]) ).
fof(f2598,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f1373,f133]) ).
fof(f1373,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),sK17)) ),
inference(resolution,[],[f1194,f133]) ).
fof(f2583,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK16))
| ~ empty(X0) ),
inference(resolution,[],[f1362,f131]) ).
fof(f2581,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK16))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1362,f169]) ).
fof(f2580,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK16))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1362,f171]) ).
fof(f2579,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK16))
| ~ empty(X0) ),
inference(resolution,[],[f1362,f133]) ).
fof(f1362,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),sK16)) ),
inference(resolution,[],[f1176,f131]) ).
fof(f2564,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK16))
| ~ empty(X0) ),
inference(resolution,[],[f1358,f131]) ).
fof(f2562,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK16))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1358,f169]) ).
fof(f2561,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK16))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1358,f171]) ).
fof(f2560,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK16))
| ~ empty(X0) ),
inference(resolution,[],[f1358,f133]) ).
fof(f1358,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),sK16)) ),
inference(resolution,[],[f1176,f133]) ).
fof(f2545,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK16))
| ~ empty(X0) ),
inference(resolution,[],[f1347,f131]) ).
fof(f2543,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK16))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1347,f169]) ).
fof(f2542,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK16))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1347,f171]) ).
fof(f2541,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK16))
| ~ empty(X0) ),
inference(resolution,[],[f1347,f133]) ).
fof(f1347,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),sK16)) ),
inference(resolution,[],[f1172,f131]) ).
fof(f145,plain,
! [X0,X1] :
( ~ sP0(sK6(X0,X1),sK7(X0,X1),X1,X0)
| in(sK7(X0,X1),relation_dom(X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f2523,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK16))
| ~ empty(X0) ),
inference(resolution,[],[f1343,f131]) ).
fof(f2521,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK16))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1343,f169]) ).
fof(f2520,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK16))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1343,f171]) ).
fof(f2519,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK16))
| ~ empty(X0) ),
inference(resolution,[],[f1343,f133]) ).
fof(f1343,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),sK16)) ),
inference(resolution,[],[f1172,f133]) ).
fof(f2504,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f1332,f131]) ).
fof(f2502,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1332,f169]) ).
fof(f2501,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1332,f171]) ).
fof(f2500,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f1332,f133]) ).
fof(f1332,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),sK15)) ),
inference(resolution,[],[f1159,f131]) ).
fof(f2485,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f1328,f131]) ).
fof(f2483,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1328,f169]) ).
fof(f2482,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1328,f171]) ).
fof(f2481,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f1328,f133]) ).
fof(f1328,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),sK15)) ),
inference(resolution,[],[f1159,f133]) ).
fof(f2466,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f1317,f131]) ).
fof(f2464,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1317,f169]) ).
fof(f2463,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1317,f171]) ).
fof(f2462,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f1317,f133]) ).
fof(f1317,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),sK15)) ),
inference(resolution,[],[f1155,f131]) ).
fof(f2447,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f1313,f131]) ).
fof(f2445,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1313,f169]) ).
fof(f2444,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1313,f171]) ).
fof(f2443,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f1313,f133]) ).
fof(f1313,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),sK15)) ),
inference(resolution,[],[f1155,f133]) ).
fof(f2428,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK13))
| ~ empty(X0) ),
inference(resolution,[],[f1302,f131]) ).
fof(f2426,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK13))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1302,f169]) ).
fof(f2425,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK13))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1302,f171]) ).
fof(f2424,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK13))
| ~ empty(X0) ),
inference(resolution,[],[f1302,f133]) ).
fof(f1302,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),sK13)) ),
inference(resolution,[],[f1138,f131]) ).
fof(f2409,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK13))
| ~ empty(X0) ),
inference(resolution,[],[f1298,f131]) ).
fof(f2407,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK13))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1298,f169]) ).
fof(f2406,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK13))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1298,f171]) ).
fof(f2405,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK13))
| ~ empty(X0) ),
inference(resolution,[],[f1298,f133]) ).
fof(f1298,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),sK13)) ),
inference(resolution,[],[f1138,f133]) ).
fof(f2390,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK13))
| ~ empty(X0) ),
inference(resolution,[],[f1287,f131]) ).
fof(f2388,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK13))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1287,f169]) ).
fof(f2387,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK13))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1287,f171]) ).
fof(f2386,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK13))
| ~ empty(X0) ),
inference(resolution,[],[f1287,f133]) ).
fof(f1287,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),sK13)) ),
inference(resolution,[],[f1134,f131]) ).
fof(f2371,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK13))
| ~ empty(X0) ),
inference(resolution,[],[f1283,f131]) ).
fof(f2369,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK13))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1283,f169]) ).
fof(f2368,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK13))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1283,f171]) ).
fof(f2367,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK13))
| ~ empty(X0) ),
inference(resolution,[],[f1283,f133]) ).
fof(f1283,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),sK13)) ),
inference(resolution,[],[f1134,f133]) ).
fof(f2352,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f1272,f131]) ).
fof(f2350,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1272,f169]) ).
fof(f2349,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1272,f171]) ).
fof(f2348,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f1272,f133]) ).
fof(f1272,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f1121,f131]) ).
fof(f2333,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f1268,f131]) ).
fof(f2331,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1268,f169]) ).
fof(f2330,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1268,f171]) ).
fof(f2329,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f1268,f133]) ).
fof(f1268,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f1121,f133]) ).
fof(f156,plain,
! [X3,X0,X4] :
( apply(X0,X3) != apply(X0,X4)
| X3 = X4
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f2312,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f1257,f131]) ).
fof(f2310,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1257,f169]) ).
fof(f2309,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1257,f171]) ).
fof(f2308,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f1257,f133]) ).
fof(f1257,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f1117,f131]) ).
fof(f2293,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f1253,f131]) ).
fof(f2291,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1253,f169]) ).
fof(f2290,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1253,f171]) ).
fof(f2289,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f1253,f133]) ).
fof(f1253,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f1117,f133]) ).
fof(f2270,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f1234,f131]) ).
fof(f2268,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1234,f169]) ).
fof(f2267,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1234,f171]) ).
fof(f2266,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f1234,f133]) ).
fof(f1234,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),empty_set)) ),
inference(resolution,[],[f1106,f131]) ).
fof(f2247,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f1230,f131]) ).
fof(f2245,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1230,f169]) ).
fof(f2244,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1230,f171]) ).
fof(f2243,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f1230,f133]) ).
fof(f1230,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),empty_set)) ),
inference(resolution,[],[f1106,f133]) ).
fof(f2224,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f1215,f131]) ).
fof(f2222,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1215,f169]) ).
fof(f2221,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1215,f171]) ).
fof(f2220,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f1215,f133]) ).
fof(f1215,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),empty_set)) ),
inference(resolution,[],[f1102,f131]) ).
fof(f2201,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f1211,f131]) ).
fof(f2199,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1211,f169]) ).
fof(f2198,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1211,f171]) ).
fof(f2197,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f1211,f133]) ).
fof(f1211,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),empty_set)) ),
inference(resolution,[],[f1102,f133]) ).
fof(f2174,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f909,f131]) ).
fof(f2172,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f909,f169]) ).
fof(f2171,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f909,f171]) ).
fof(f2170,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f909,f133]) ).
fof(f909,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f647,f131]) ).
fof(f2147,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f905,f131]) ).
fof(f2145,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f905,f169]) ).
fof(f2144,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f905,f171]) ).
fof(f2143,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f905,f133]) ).
fof(f905,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f647,f133]) ).
fof(f2120,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f886,f131]) ).
fof(f2118,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f886,f169]) ).
fof(f2117,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f886,f171]) ).
fof(f2116,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f886,f133]) ).
fof(f886,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f643,f131]) ).
fof(f2093,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f882,f131]) ).
fof(f2091,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f882,f169]) ).
fof(f2090,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f882,f171]) ).
fof(f2089,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f882,f133]) ).
fof(f882,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f643,f133]) ).
fof(f2066,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f863,f131]) ).
fof(f2064,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f863,f169]) ).
fof(f2063,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f863,f171]) ).
fof(f2062,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f863,f133]) ).
fof(f863,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f628,f131]) ).
fof(f199,plain,
! [X2,X3,X0] :
( ~ sP0(X0,apply(X3,X0),X2,X3)
| ~ in(X0,relation_rng(X2))
| apply(X2,apply(X3,X0)) = X0 ),
inference(equality_resolution,[],[f149]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( apply(X2,X1) = X0
| apply(X3,X0) != X1
| ~ in(X0,relation_rng(X2))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ( ( apply(X2,X1) != X0
| ~ in(X1,relation_dom(X2)) )
& apply(X3,X0) = X1
& in(X0,relation_rng(X2)) ) )
& ( ( apply(X2,X1) = X0
& in(X1,relation_dom(X2)) )
| apply(X3,X0) != X1
| ~ in(X0,relation_rng(X2))
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( ( sP0(X2,X3,X0,X1)
| ( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0))
| ~ sP0(X2,X3,X0,X1) ) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ( sP0(X2,X3,X0,X1)
| ( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0))
| ~ sP0(X2,X3,X0,X1) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f2036,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f859,f131]) ).
fof(f2034,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f859,f169]) ).
fof(f2033,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f859,f171]) ).
fof(f2032,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f859,f133]) ).
fof(f859,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f628,f133]) ).
fof(f2009,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f840,f131]) ).
fof(f2007,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f840,f169]) ).
fof(f2006,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f840,f171]) ).
fof(f2005,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f840,f133]) ).
fof(f840,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f624,f131]) ).
fof(f1982,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f836,f131]) ).
fof(f1980,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f836,f169]) ).
fof(f1979,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f836,f171]) ).
fof(f1978,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f836,f133]) ).
fof(f836,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f624,f133]) ).
fof(f1955,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f817,f131]) ).
fof(f1953,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f817,f169]) ).
fof(f1952,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f817,f171]) ).
fof(f1951,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f817,f133]) ).
fof(f817,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f609,f131]) ).
fof(f1928,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f813,f131]) ).
fof(f1926,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f813,f169]) ).
fof(f1925,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f813,f171]) ).
fof(f1924,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f813,f133]) ).
fof(f813,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f609,f133]) ).
fof(f1901,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f794,f131]) ).
fof(f1899,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f794,f169]) ).
fof(f1898,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f794,f171]) ).
fof(f1897,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f794,f133]) ).
fof(f794,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f605,f131]) ).
fof(f1874,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f790,f131]) ).
fof(f1872,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f790,f169]) ).
fof(f1871,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f790,f171]) ).
fof(f1870,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f790,f133]) ).
fof(f790,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f605,f133]) ).
fof(f1847,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f771,f131]) ).
fof(f1845,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f771,f169]) ).
fof(f1844,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f771,f171]) ).
fof(f1843,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f771,f133]) ).
fof(f771,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f590,f131]) ).
fof(f1820,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f767,f131]) ).
fof(f1818,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f767,f169]) ).
fof(f1817,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f767,f171]) ).
fof(f1816,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f767,f133]) ).
fof(f767,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f590,f133]) ).
fof(f1793,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f748,f131]) ).
fof(f1791,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f748,f169]) ).
fof(f1790,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f748,f171]) ).
fof(f1789,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f748,f133]) ).
fof(f748,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f586,f131]) ).
fof(f1766,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f744,f131]) ).
fof(f1764,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f744,f169]) ).
fof(f1763,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f744,f171]) ).
fof(f1762,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f744,f133]) ).
fof(f744,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f586,f133]) ).
fof(f1761,plain,
! [X0] :
( ~ in(X0,empty_set)
| apply(relation_composition(function_inverse(empty_set),empty_set),X0) = X0 ),
inference(subsumption_resolution,[],[f1760,f125]) ).
fof(f1760,plain,
! [X0] :
( ~ in(X0,empty_set)
| apply(relation_composition(function_inverse(empty_set),empty_set),X0) = X0
| ~ relation(empty_set) ),
inference(subsumption_resolution,[],[f1759,f209]) ).
fof(f1759,plain,
! [X0] :
( ~ in(X0,empty_set)
| apply(relation_composition(function_inverse(empty_set),empty_set),X0) = X0
| ~ function(empty_set)
| ~ relation(empty_set) ),
inference(subsumption_resolution,[],[f1758,f338]) ).
fof(f1758,plain,
! [X0] :
( ~ in(X0,empty_set)
| apply(relation_composition(function_inverse(empty_set),empty_set),X0) = X0
| ~ one_to_one(empty_set)
| ~ function(empty_set)
| ~ relation(empty_set) ),
inference(superposition,[],[f176,f219]) ).
fof(f1757,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| sK10(relation_rng(X0)) = apply(relation_composition(function_inverse(X0),X0),sK10(relation_rng(X0))) ),
inference(resolution,[],[f176,f316]) ).
fof(f176,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| apply(relation_composition(function_inverse(X1),X1),X0) = X0
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f1750,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,relation_rng(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f1085,f131]) ).
fof(f1748,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f1085,f169]) ).
fof(f1747,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f1085,f171]) ).
fof(f1746,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,relation_dom(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f1085,f133]) ).
fof(f1085,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,X1)) ),
inference(resolution,[],[f541,f129]) ).
fof(f1729,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1502,f169]) ).
fof(f1728,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1502,f171]) ).
fof(f1502,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(X0))) ),
inference(resolution,[],[f1416,f131]) ).
fof(f1710,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1498,f169]) ).
fof(f1709,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1498,f171]) ).
fof(f1498,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(X0))) ),
inference(resolution,[],[f1416,f133]) ).
fof(f1691,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1487,f169]) ).
fof(f1690,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1487,f171]) ).
fof(f1487,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK16,relation_rng(X0))) ),
inference(resolution,[],[f1415,f131]) ).
fof(f1672,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1483,f169]) ).
fof(f1671,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1483,f171]) ).
fof(f1483,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK16,relation_dom(X0))) ),
inference(resolution,[],[f1415,f133]) ).
fof(f1653,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1472,f169]) ).
fof(f1652,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1472,f171]) ).
fof(f1472,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(X0))) ),
inference(resolution,[],[f1414,f131]) ).
fof(f1634,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1468,f169]) ).
fof(f1633,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1468,f171]) ).
fof(f1468,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(X0))) ),
inference(resolution,[],[f1414,f133]) ).
fof(f1615,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1457,f169]) ).
fof(f1614,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1457,f171]) ).
fof(f1457,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK13,relation_rng(X0))) ),
inference(resolution,[],[f1412,f131]) ).
fof(f1596,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1453,f169]) ).
fof(f1595,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1453,f171]) ).
fof(f1453,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK13,relation_dom(X0))) ),
inference(resolution,[],[f1412,f133]) ).
fof(f1577,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1442,f169]) ).
fof(f1576,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1442,f171]) ).
fof(f1442,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(X0))) ),
inference(resolution,[],[f1411,f131]) ).
fof(f1574,plain,
! [X0] :
( ~ in(X0,empty_set)
| apply(empty_set,apply(function_inverse(empty_set),X0)) = X0 ),
inference(subsumption_resolution,[],[f1573,f125]) ).
fof(f1573,plain,
! [X0] :
( ~ in(X0,empty_set)
| apply(empty_set,apply(function_inverse(empty_set),X0)) = X0
| ~ relation(empty_set) ),
inference(subsumption_resolution,[],[f1572,f209]) ).
fof(f1572,plain,
! [X0] :
( ~ in(X0,empty_set)
| apply(empty_set,apply(function_inverse(empty_set),X0)) = X0
| ~ function(empty_set)
| ~ relation(empty_set) ),
inference(subsumption_resolution,[],[f1571,f338]) ).
fof(f1571,plain,
! [X0] :
( ~ in(X0,empty_set)
| apply(empty_set,apply(function_inverse(empty_set),X0)) = X0
| ~ one_to_one(empty_set)
| ~ function(empty_set)
| ~ relation(empty_set) ),
inference(superposition,[],[f175,f219]) ).
fof(f1570,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| sK10(relation_rng(X0)) = apply(X0,apply(function_inverse(X0),sK10(relation_rng(X0)))) ),
inference(resolution,[],[f175,f316]) ).
fof(f1553,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1438,f169]) ).
fof(f1552,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1438,f171]) ).
fof(f1438,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(X0))) ),
inference(resolution,[],[f1411,f133]) ).
fof(f1534,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1427,f169]) ).
fof(f1533,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1427,f171]) ).
fof(f1427,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(X0))) ),
inference(resolution,[],[f1409,f131]) ).
fof(f1515,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1423,f169]) ).
fof(f1514,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1423,f171]) ).
fof(f1423,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(X0))) ),
inference(resolution,[],[f1409,f133]) ).
fof(f1500,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1416,f169]) ).
fof(f1499,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1416,f171]) ).
fof(f1416,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,X0)) ),
inference(resolution,[],[f542,f189]) ).
fof(f1485,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1415,f169]) ).
fof(f1484,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK16,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1415,f171]) ).
fof(f1415,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK16,X0)) ),
inference(resolution,[],[f542,f187]) ).
fof(f1470,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1414,f169]) ).
fof(f1469,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1414,f171]) ).
fof(f1414,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,X0)) ),
inference(resolution,[],[f542,f186]) ).
fof(f1455,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1412,f169]) ).
fof(f1454,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK13,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1412,f171]) ).
fof(f1412,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK13,X0)) ),
inference(resolution,[],[f542,f183]) ).
fof(f1440,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1411,f169]) ).
fof(f1439,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1411,f171]) ).
fof(f1411,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,X0)) ),
inference(resolution,[],[f542,f119]) ).
fof(f1425,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1409,f169]) ).
fof(f1424,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1409,f171]) ).
fof(f1409,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,X0)) ),
inference(resolution,[],[f542,f125]) ).
fof(f200,plain,
! [X2,X3,X0] :
( ~ sP0(X0,apply(X3,X0),X2,X3)
| ~ in(X0,relation_rng(X2))
| in(apply(X3,X0),relation_dom(X2)) ),
inference(equality_resolution,[],[f148]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( in(X1,relation_dom(X2))
| apply(X3,X0) != X1
| ~ in(X0,relation_rng(X2))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f95]) ).
fof(f1419,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f1417,f205]) ).
fof(f1417,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,X0))
| ~ empty(X0) ),
inference(resolution,[],[f542,f192]) ).
fof(f1418,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f1413,f204]) ).
fof(f1413,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK14,X0))
| ~ empty(X0) ),
inference(resolution,[],[f542,f185]) ).
fof(f1410,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),X1))
| ~ empty(X0) ),
inference(resolution,[],[f542,f132]) ).
fof(f1408,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),X2))
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f542,f170]) ).
fof(f1407,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),X2))
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f542,f172]) ).
fof(f1406,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),X2))
| ~ empty(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f542,f177]) ).
fof(f1405,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(function_inverse(X0),X1))
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f542,f137]) ).
fof(f1404,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),X1))
| ~ empty(X0) ),
inference(resolution,[],[f542,f134]) ).
fof(f1403,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,X1))
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f542,f129]) ).
fof(f542,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,X1))
| ~ empty(X1) ),
inference(resolution,[],[f531,f169]) ).
fof(f1390,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1198,f169]) ).
fof(f1389,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1198,f171]) ).
fof(f1198,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),sK17)) ),
inference(resolution,[],[f1098,f131]) ).
fof(f1375,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1194,f169]) ).
fof(f1374,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1194,f171]) ).
fof(f1194,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),sK17)) ),
inference(resolution,[],[f1098,f133]) ).
fof(f1360,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK16))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1176,f169]) ).
fof(f1359,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK16))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1176,f171]) ).
fof(f1176,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),sK16)) ),
inference(resolution,[],[f1097,f131]) ).
fof(f1345,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK16))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1172,f169]) ).
fof(f1344,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK16))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1172,f171]) ).
fof(f1172,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),sK16)) ),
inference(resolution,[],[f1097,f133]) ).
fof(f1330,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1159,f169]) ).
fof(f1329,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1159,f171]) ).
fof(f1159,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),sK15)) ),
inference(resolution,[],[f1096,f131]) ).
fof(f1315,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1155,f169]) ).
fof(f1314,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1155,f171]) ).
fof(f1155,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),sK15)) ),
inference(resolution,[],[f1096,f133]) ).
fof(f1300,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK13))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1138,f169]) ).
fof(f1299,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK13))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1138,f171]) ).
fof(f1138,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),sK13)) ),
inference(resolution,[],[f1094,f131]) ).
fof(f1285,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK13))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1134,f169]) ).
fof(f1284,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK13))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1134,f171]) ).
fof(f1134,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),sK13)) ),
inference(resolution,[],[f1094,f133]) ).
fof(f1270,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1121,f169]) ).
fof(f1269,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1121,f171]) ).
fof(f1121,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),sK5)) ),
inference(resolution,[],[f1093,f131]) ).
fof(f1255,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1117,f169]) ).
fof(f1254,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1117,f171]) ).
fof(f1117,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),sK5)) ),
inference(resolution,[],[f1093,f133]) ).
fof(f1252,plain,
! [X0,X1] :
( ~ in(X0,empty_set)
| apply(X1,apply(empty_set,X0)) = X0
| ~ sP1(X1,empty_set) ),
inference(superposition,[],[f196,f232]) ).
fof(f1251,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK10(relation_dom(X1)) = apply(X0,apply(X1,sK10(relation_dom(X1))))
| empty(relation_dom(X1)) ),
inference(resolution,[],[f196,f316]) ).
fof(f196,plain,
! [X0,X1,X5] :
( ~ in(X5,relation_dom(X1))
| apply(X0,apply(X1,X5)) = X5
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X4,X5] :
( apply(X0,X4) = X5
| apply(X1,X5) != X4
| ~ in(X5,relation_dom(X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f1232,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1106,f169]) ).
fof(f1231,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1106,f171]) ).
fof(f1106,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),empty_set)) ),
inference(resolution,[],[f1091,f131]) ).
fof(f1213,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1102,f169]) ).
fof(f1212,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1102,f171]) ).
fof(f1102,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),empty_set)) ),
inference(resolution,[],[f1091,f133]) ).
fof(f1197,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK17)),
inference(resolution,[],[f1098,f123]) ).
fof(f1204,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK17)),
inference(forward_demodulation,[],[f1201,f205]) ).
fof(f1201,plain,
empty_set = relation_composition(sK5,relation_composition(sK18,sK17)),
inference(resolution,[],[f1098,f193]) ).
fof(f1203,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK17)),
inference(forward_demodulation,[],[f1200,f204]) ).
fof(f1200,plain,
empty_set = relation_composition(sK5,relation_composition(sK14,sK17)),
inference(resolution,[],[f1098,f184]) ).
fof(f1202,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK17)),
inference(forward_demodulation,[],[f1199,f203]) ).
fof(f1199,plain,
empty_set = relation_composition(sK5,relation_composition(sK12,sK17)),
inference(resolution,[],[f1098,f181]) ).
fof(f1196,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1098,f169]) ).
fof(f1195,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1098,f171]) ).
fof(f1098,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,sK17)) ),
inference(resolution,[],[f541,f189]) ).
fof(f1193,plain,
! [X0,X1] :
( in(apply(empty_set,X0),empty_set)
| ~ in(X0,empty_set)
| ~ sP1(X1,empty_set) ),
inference(forward_demodulation,[],[f1192,f219]) ).
fof(f1192,plain,
! [X0,X1] :
( ~ in(X0,empty_set)
| in(apply(empty_set,X0),relation_rng(empty_set))
| ~ sP1(X1,empty_set) ),
inference(superposition,[],[f197,f232]) ).
fof(f197,plain,
! [X0,X1,X5] :
( ~ in(X5,relation_dom(X1))
| in(apply(X1,X5),relation_rng(X1))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X4,X5] :
( in(X4,relation_rng(X1))
| apply(X1,X5) != X4
| ~ in(X5,relation_dom(X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f1175,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK16)),
inference(resolution,[],[f1097,f123]) ).
fof(f1182,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK16)),
inference(forward_demodulation,[],[f1179,f205]) ).
fof(f1179,plain,
empty_set = relation_composition(sK5,relation_composition(sK18,sK16)),
inference(resolution,[],[f1097,f193]) ).
fof(f1181,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK16)),
inference(forward_demodulation,[],[f1178,f204]) ).
fof(f1178,plain,
empty_set = relation_composition(sK5,relation_composition(sK14,sK16)),
inference(resolution,[],[f1097,f184]) ).
fof(f1180,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK16)),
inference(forward_demodulation,[],[f1177,f203]) ).
fof(f1177,plain,
empty_set = relation_composition(sK5,relation_composition(sK12,sK16)),
inference(resolution,[],[f1097,f181]) ).
fof(f1174,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK16))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1097,f169]) ).
fof(f1173,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK16))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1097,f171]) ).
fof(f1097,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,sK16)) ),
inference(resolution,[],[f541,f187]) ).
fof(f1158,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK15)),
inference(resolution,[],[f1096,f123]) ).
fof(f1165,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK15)),
inference(forward_demodulation,[],[f1162,f205]) ).
fof(f1162,plain,
empty_set = relation_composition(sK5,relation_composition(sK18,sK15)),
inference(resolution,[],[f1096,f193]) ).
fof(f1164,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK15)),
inference(forward_demodulation,[],[f1161,f204]) ).
fof(f1161,plain,
empty_set = relation_composition(sK5,relation_composition(sK14,sK15)),
inference(resolution,[],[f1096,f184]) ).
fof(f1163,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK15)),
inference(forward_demodulation,[],[f1160,f203]) ).
fof(f1160,plain,
empty_set = relation_composition(sK5,relation_composition(sK12,sK15)),
inference(resolution,[],[f1096,f181]) ).
fof(f1157,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1096,f169]) ).
fof(f1156,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1096,f171]) ).
fof(f1096,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,sK15)) ),
inference(resolution,[],[f541,f186]) ).
fof(f1137,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK13)),
inference(resolution,[],[f1094,f123]) ).
fof(f1144,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK13)),
inference(forward_demodulation,[],[f1141,f205]) ).
fof(f1141,plain,
empty_set = relation_composition(sK5,relation_composition(sK18,sK13)),
inference(resolution,[],[f1094,f193]) ).
fof(f1143,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK13)),
inference(forward_demodulation,[],[f1140,f204]) ).
fof(f1140,plain,
empty_set = relation_composition(sK5,relation_composition(sK14,sK13)),
inference(resolution,[],[f1094,f184]) ).
fof(f1142,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK13)),
inference(forward_demodulation,[],[f1139,f203]) ).
fof(f1139,plain,
empty_set = relation_composition(sK5,relation_composition(sK12,sK13)),
inference(resolution,[],[f1094,f181]) ).
fof(f1136,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK13))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1094,f169]) ).
fof(f1135,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK13))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1094,f171]) ).
fof(f1094,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,sK13)) ),
inference(resolution,[],[f541,f183]) ).
fof(f1120,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK5)),
inference(resolution,[],[f1093,f123]) ).
fof(f1127,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK5)),
inference(forward_demodulation,[],[f1124,f205]) ).
fof(f1124,plain,
empty_set = relation_composition(sK5,relation_composition(sK18,sK5)),
inference(resolution,[],[f1093,f193]) ).
fof(f1126,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK5)),
inference(forward_demodulation,[],[f1123,f204]) ).
fof(f1123,plain,
empty_set = relation_composition(sK5,relation_composition(sK14,sK5)),
inference(resolution,[],[f1093,f184]) ).
fof(f1125,plain,
empty_set = relation_composition(sK5,relation_composition(empty_set,sK5)),
inference(forward_demodulation,[],[f1122,f203]) ).
fof(f1122,plain,
empty_set = relation_composition(sK5,relation_composition(sK12,sK5)),
inference(resolution,[],[f1093,f181]) ).
fof(f1119,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1093,f169]) ).
fof(f1118,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1093,f171]) ).
fof(f1093,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,sK5)) ),
inference(resolution,[],[f541,f119]) ).
fof(f1104,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1091,f169]) ).
fof(f1103,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1091,f171]) ).
fof(f1091,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,empty_set)) ),
inference(resolution,[],[f541,f125]) ).
fof(f1101,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f1099,f205]) ).
fof(f1099,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(X0,sK18))
| ~ empty(X0) ),
inference(resolution,[],[f541,f192]) ).
fof(f1100,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f1095,f204]) ).
fof(f1095,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(X0,sK14))
| ~ empty(X0) ),
inference(resolution,[],[f541,f185]) ).
fof(f1092,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,relation_rng(X1))) ),
inference(resolution,[],[f541,f132]) ).
fof(f1090,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f541,f170]) ).
fof(f1089,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f541,f172]) ).
fof(f1088,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f541,f177]) ).
fof(f1087,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,function_inverse(X1)))
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f541,f137]) ).
fof(f1086,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,relation_dom(X1))) ),
inference(resolution,[],[f541,f134]) ).
fof(f541,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(sK5,relation_composition(X0,X1))
| ~ empty(X0) ),
inference(resolution,[],[f531,f171]) ).
fof(f1072,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f732,f169]) ).
fof(f1071,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f732,f171]) ).
fof(f732,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_rng(X0)) ),
inference(resolution,[],[f536,f131]) ).
fof(f1057,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f728,f169]) ).
fof(f1056,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f728,f171]) ).
fof(f728,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_dom(X0)) ),
inference(resolution,[],[f536,f133]) ).
fof(f174,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1)
& function(X0)
& relation(X0) )
=> ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f1035,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f716,f169]) ).
fof(f1034,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f716,f171]) ).
fof(f716,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK16,relation_rng(X0)) ),
inference(resolution,[],[f535,f131]) ).
fof(f1020,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f712,f169]) ).
fof(f1019,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f712,f171]) ).
fof(f712,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK16,relation_dom(X0)) ),
inference(resolution,[],[f535,f133]) ).
fof(f1005,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f700,f169]) ).
fof(f1004,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f700,f171]) ).
fof(f700,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_rng(X0)) ),
inference(resolution,[],[f534,f131]) ).
fof(f990,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f696,f169]) ).
fof(f989,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f696,f171]) ).
fof(f696,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_dom(X0)) ),
inference(resolution,[],[f534,f133]) ).
fof(f975,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f683,f169]) ).
fof(f974,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f683,f171]) ).
fof(f683,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK13,relation_rng(X0)) ),
inference(resolution,[],[f532,f131]) ).
fof(f960,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f679,f169]) ).
fof(f959,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f679,f171]) ).
fof(f679,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK13,relation_dom(X0)) ),
inference(resolution,[],[f532,f133]) ).
fof(f945,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f666,f169]) ).
fof(f944,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f666,f171]) ).
fof(f666,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_rng(X0)) ),
inference(resolution,[],[f529,f131]) ).
fof(f930,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f662,f169]) ).
fof(f929,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f662,f171]) ).
fof(f662,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_dom(X0)) ),
inference(resolution,[],[f529,f133]) ).
fof(f907,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f647,f169]) ).
fof(f906,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f647,f171]) ).
fof(f647,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f575,f131]) ).
fof(f884,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f643,f169]) ).
fof(f883,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f643,f171]) ).
fof(f643,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f575,f133]) ).
fof(f861,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f628,f169]) ).
fof(f860,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f628,f171]) ).
fof(f628,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f571,f131]) ).
fof(f838,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f624,f169]) ).
fof(f837,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f624,f171]) ).
fof(f624,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f571,f133]) ).
fof(f815,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f609,f169]) ).
fof(f814,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f609,f171]) ).
fof(f609,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f560,f131]) ).
fof(f792,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f605,f169]) ).
fof(f791,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f605,f171]) ).
fof(f605,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f560,f133]) ).
fof(f769,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f590,f169]) ).
fof(f768,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f590,f171]) ).
fof(f590,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f556,f131]) ).
fof(f746,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f586,f169]) ).
fof(f745,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f586,f171]) ).
fof(f586,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f556,f133]) ).
fof(f731,plain,
empty_set = relation_composition(sK17,empty_set),
inference(resolution,[],[f536,f123]) ).
fof(f198,plain,
! [X2,X3,X1] :
( sP0(apply(X2,X1),X1,X2,X3)
| ~ in(X1,relation_dom(X2)) ),
inference(equality_resolution,[],[f152]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1,X2,X3)
| apply(X2,X1) != X0
| ~ in(X1,relation_dom(X2)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f738,plain,
empty_set = relation_composition(sK17,empty_set),
inference(forward_demodulation,[],[f735,f205]) ).
fof(f735,plain,
empty_set = relation_composition(sK17,sK18),
inference(resolution,[],[f536,f193]) ).
fof(f737,plain,
empty_set = relation_composition(sK17,empty_set),
inference(forward_demodulation,[],[f734,f204]) ).
fof(f734,plain,
empty_set = relation_composition(sK17,sK14),
inference(resolution,[],[f536,f184]) ).
fof(f736,plain,
empty_set = relation_composition(sK17,empty_set),
inference(forward_demodulation,[],[f733,f203]) ).
fof(f733,plain,
empty_set = relation_composition(sK17,sK12),
inference(resolution,[],[f536,f181]) ).
fof(f730,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f536,f169]) ).
fof(f729,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f536,f171]) ).
fof(f536,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,X0) ),
inference(resolution,[],[f319,f189]) ).
fof(f715,plain,
empty_set = relation_composition(sK16,empty_set),
inference(resolution,[],[f535,f123]) ).
fof(f722,plain,
empty_set = relation_composition(sK16,empty_set),
inference(forward_demodulation,[],[f719,f205]) ).
fof(f719,plain,
empty_set = relation_composition(sK16,sK18),
inference(resolution,[],[f535,f193]) ).
fof(f721,plain,
empty_set = relation_composition(sK16,empty_set),
inference(forward_demodulation,[],[f718,f204]) ).
fof(f718,plain,
empty_set = relation_composition(sK16,sK14),
inference(resolution,[],[f535,f184]) ).
fof(f720,plain,
empty_set = relation_composition(sK16,empty_set),
inference(forward_demodulation,[],[f717,f203]) ).
fof(f717,plain,
empty_set = relation_composition(sK16,sK12),
inference(resolution,[],[f535,f181]) ).
fof(f714,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f535,f169]) ).
fof(f713,plain,
! [X0,X1] :
( empty_set = relation_composition(sK16,relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f535,f171]) ).
fof(f535,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK16,X0) ),
inference(resolution,[],[f319,f187]) ).
fof(f699,plain,
empty_set = relation_composition(sK15,empty_set),
inference(resolution,[],[f534,f123]) ).
fof(f706,plain,
empty_set = relation_composition(sK15,empty_set),
inference(forward_demodulation,[],[f703,f205]) ).
fof(f703,plain,
empty_set = relation_composition(sK15,sK18),
inference(resolution,[],[f534,f193]) ).
fof(f705,plain,
empty_set = relation_composition(sK15,empty_set),
inference(forward_demodulation,[],[f702,f204]) ).
fof(f702,plain,
empty_set = relation_composition(sK15,sK14),
inference(resolution,[],[f534,f184]) ).
fof(f704,plain,
empty_set = relation_composition(sK15,empty_set),
inference(forward_demodulation,[],[f701,f203]) ).
fof(f701,plain,
empty_set = relation_composition(sK15,sK12),
inference(resolution,[],[f534,f181]) ).
fof(f698,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f534,f169]) ).
fof(f697,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f534,f171]) ).
fof(f534,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,X0) ),
inference(resolution,[],[f319,f186]) ).
fof(f159,plain,
! [X0] :
( sP3(X0)
| apply(X0,sK8(X0)) = apply(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f682,plain,
empty_set = relation_composition(sK13,empty_set),
inference(resolution,[],[f532,f123]) ).
fof(f689,plain,
empty_set = relation_composition(sK13,empty_set),
inference(forward_demodulation,[],[f686,f205]) ).
fof(f686,plain,
empty_set = relation_composition(sK13,sK18),
inference(resolution,[],[f532,f193]) ).
fof(f688,plain,
empty_set = relation_composition(sK13,empty_set),
inference(forward_demodulation,[],[f685,f204]) ).
fof(f685,plain,
empty_set = relation_composition(sK13,sK14),
inference(resolution,[],[f532,f184]) ).
fof(f687,plain,
empty_set = relation_composition(sK13,empty_set),
inference(forward_demodulation,[],[f684,f203]) ).
fof(f684,plain,
empty_set = relation_composition(sK13,sK12),
inference(resolution,[],[f532,f181]) ).
fof(f681,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f532,f169]) ).
fof(f680,plain,
! [X0,X1] :
( empty_set = relation_composition(sK13,relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f532,f171]) ).
fof(f532,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK13,X0) ),
inference(resolution,[],[f319,f183]) ).
fof(f665,plain,
empty_set = relation_composition(empty_set,empty_set),
inference(resolution,[],[f529,f123]) ).
fof(f672,plain,
empty_set = relation_composition(empty_set,empty_set),
inference(forward_demodulation,[],[f669,f205]) ).
fof(f669,plain,
empty_set = relation_composition(empty_set,sK18),
inference(resolution,[],[f529,f193]) ).
fof(f671,plain,
empty_set = relation_composition(empty_set,empty_set),
inference(forward_demodulation,[],[f668,f204]) ).
fof(f668,plain,
empty_set = relation_composition(empty_set,sK14),
inference(resolution,[],[f529,f184]) ).
fof(f670,plain,
empty_set = relation_composition(empty_set,empty_set),
inference(forward_demodulation,[],[f667,f203]) ).
fof(f667,plain,
empty_set = relation_composition(empty_set,sK12),
inference(resolution,[],[f529,f181]) ).
fof(f664,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f529,f169]) ).
fof(f663,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f529,f171]) ).
fof(f529,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,X0) ),
inference(resolution,[],[f319,f125]) ).
fof(f645,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f575,f169]) ).
fof(f644,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f575,f171]) ).
fof(f575,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f544,f131]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1,X2,X3)
| apply(X3,X0) = X1 ),
inference(cnf_transformation,[],[f95]) ).
fof(f626,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f571,f169]) ).
fof(f625,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f571,f171]) ).
fof(f571,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f544,f133]) ).
fof(f607,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f560,f169]) ).
fof(f606,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f560,f171]) ).
fof(f560,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f540,f131]) ).
fof(f588,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f556,f169]) ).
fof(f587,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f556,f171]) ).
fof(f556,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f540,f133]) ).
fof(f573,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_composition(X0,X1)))
| ~ empty(X1) ),
inference(resolution,[],[f544,f169]) ).
fof(f572,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(sK5,relation_rng(relation_composition(X0,X1)))
| ~ empty(X0) ),
inference(resolution,[],[f544,f171]) ).
fof(f544,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(X0)) ),
inference(resolution,[],[f531,f131]) ).
fof(f558,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_composition(X0,X1)))
| ~ empty(X1) ),
inference(resolution,[],[f540,f169]) ).
fof(f557,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(sK5,relation_dom(relation_composition(X0,X1)))
| ~ empty(X0) ),
inference(resolution,[],[f540,f171]) ).
fof(f540,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(X0)) ),
inference(resolution,[],[f531,f133]) ).
fof(f543,plain,
empty_set = relation_composition(sK5,empty_set),
inference(resolution,[],[f531,f123]) ).
fof(f550,plain,
empty_set = relation_composition(sK5,empty_set),
inference(forward_demodulation,[],[f547,f205]) ).
fof(f547,plain,
empty_set = relation_composition(sK5,sK18),
inference(resolution,[],[f531,f193]) ).
fof(f549,plain,
empty_set = relation_composition(sK5,empty_set),
inference(forward_demodulation,[],[f546,f204]) ).
fof(f546,plain,
empty_set = relation_composition(sK5,sK14),
inference(resolution,[],[f531,f184]) ).
fof(f548,plain,
empty_set = relation_composition(sK5,empty_set),
inference(forward_demodulation,[],[f545,f203]) ).
fof(f545,plain,
empty_set = relation_composition(sK5,sK12),
inference(resolution,[],[f531,f181]) ).
fof(f531,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,X0) ),
inference(resolution,[],[f319,f119]) ).
fof(f539,plain,
! [X0] :
( empty_set = relation_composition(empty_set,X0)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f537,f205]) ).
fof(f537,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,X0) ),
inference(resolution,[],[f319,f192]) ).
fof(f538,plain,
! [X0] :
( empty_set = relation_composition(empty_set,X0)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f533,f204]) ).
fof(f533,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK14,X0) ),
inference(resolution,[],[f319,f185]) ).
fof(f319,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| relation_composition(X0,X1) = empty_set ),
inference(resolution,[],[f169,f130]) ).
fof(f140,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ sP1(X1,X0)
| function_inverse(X0) = X1 ),
inference(cnf_transformation,[],[f87]) ).
fof(f506,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f305,f169]) ).
fof(f505,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f305,f171]) ).
fof(f305,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f233,f131]) ).
fof(f487,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f303,f169]) ).
fof(f486,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f303,f171]) ).
fof(f303,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f233,f133]) ).
fof(f468,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f292,f169]) ).
fof(f467,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f292,f171]) ).
fof(f292,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f231,f131]) ).
fof(f449,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f290,f169]) ).
fof(f448,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f290,f171]) ).
fof(f290,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f231,f133]) ).
fof(f430,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f279,f169]) ).
fof(f429,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f279,f171]) ).
fof(f279,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f220,f131]) ).
fof(f411,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f277,f169]) ).
fof(f410,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f277,f171]) ).
fof(f277,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f220,f133]) ).
fof(f392,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f266,f169]) ).
fof(f391,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f266,f171]) ).
fof(f266,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f218,f131]) ).
fof(f373,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f264,f169]) ).
fof(f372,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f264,f171]) ).
fof(f264,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f218,f133]) ).
fof(f255,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = X0 ),
inference(resolution,[],[f178,f131]) ).
fof(f253,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = X0 ),
inference(resolution,[],[f178,f133]) ).
fof(f215,plain,
! [X0] :
( sP3(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ~ function(X0) ),
inference(resolution,[],[f161,f154]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1,X2,X3)
| in(X0,relation_rng(X2)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f338,plain,
one_to_one(empty_set),
inference(subsumption_resolution,[],[f337,f209]) ).
fof(f337,plain,
( ~ function(empty_set)
| one_to_one(empty_set) ),
inference(subsumption_resolution,[],[f335,f125]) ).
fof(f335,plain,
( ~ relation(empty_set)
| ~ function(empty_set)
| one_to_one(empty_set) ),
inference(resolution,[],[f214,f249]) ).
fof(f177,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f172,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& empty(relation_composition(X0,X1)) )
| ~ relation(X1)
| ~ empty(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& empty(relation_composition(X0,X1)) )
| ~ relation(X1)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( relation(X1)
& empty(X0) )
=> ( relation(relation_composition(X0,X1))
& empty(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_relat_1) ).
fof(f334,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_rng(relation_composition(X1,X0))) ),
inference(resolution,[],[f171,f233]) ).
fof(f333,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_dom(relation_composition(X1,X0))) ),
inference(resolution,[],[f171,f231]) ).
fof(f332,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_rng(relation_composition(X1,X0))) ),
inference(resolution,[],[f171,f220]) ).
fof(f331,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_dom(relation_composition(X1,X0))) ),
inference(resolution,[],[f171,f218]) ).
fof(f171,plain,
! [X0,X1] :
( empty(relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f170,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( relation(relation_composition(X1,X0))
& empty(relation_composition(X1,X0)) )
| ~ relation(X1)
| ~ empty(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( relation(relation_composition(X1,X0))
& empty(relation_composition(X1,X0)) )
| ~ relation(X1)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ( relation(X1)
& empty(X0) )
=> ( relation(relation_composition(X1,X0))
& empty(relation_composition(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_relat_1) ).
fof(f326,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_rng(relation_composition(X0,X1))) ),
inference(resolution,[],[f169,f233]) ).
fof(f325,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_dom(relation_composition(X0,X1))) ),
inference(resolution,[],[f169,f231]) ).
fof(f324,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_rng(relation_composition(X0,X1))) ),
inference(resolution,[],[f169,f220]) ).
fof(f323,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_dom(relation_composition(X0,X1))) ),
inference(resolution,[],[f169,f218]) ).
fof(f169,plain,
! [X0,X1] :
( empty(relation_composition(X1,X0))
| ~ relation(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f317,plain,
! [X0] :
( ~ in(X0,sK10(X0))
| empty(X0) ),
inference(resolution,[],[f316,f166]) ).
fof(f316,plain,
! [X0] :
( in(sK10(X0),X0)
| empty(X0) ),
inference(resolution,[],[f168,f165]) ).
fof(f168,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f142,plain,
! [X0,X1,X4,X5] :
( sP0(X4,X5,X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f233,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(X0)) ),
inference(resolution,[],[f213,f131]) ).
fof(f231,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(X0)) ),
inference(resolution,[],[f213,f133]) ).
fof(f220,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(X0)) ),
inference(resolution,[],[f212,f131]) ).
fof(f218,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(X0)) ),
inference(resolution,[],[f212,f133]) ).
fof(f250,plain,
! [X0] :
( ~ in(relation_dom(X0),sK9(X0))
| sP3(X0) ),
inference(resolution,[],[f158,f166]) ).
fof(f244,plain,
! [X0] :
( ~ in(relation_dom(X0),sK8(X0))
| sP3(X0) ),
inference(resolution,[],[f157,f166]) ).
fof(f178,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f247,plain,
! [X0] :
( sP3(X0)
| ~ empty(X0) ),
inference(resolution,[],[f245,f133]) ).
fof(f158,plain,
! [X0] :
( in(sK9(X0),relation_dom(X0))
| sP3(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f249,plain,
sP3(empty_set),
inference(subsumption_resolution,[],[f248,f123]) ).
fof(f248,plain,
( ~ empty(empty_set)
| sP3(empty_set) ),
inference(superposition,[],[f245,f232]) ).
fof(f245,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| sP3(X0) ),
inference(resolution,[],[f157,f179]) ).
fof(f246,plain,
( in(sK8(empty_set),empty_set)
| sP3(empty_set) ),
inference(superposition,[],[f157,f232]) ).
fof(f136,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f232,plain,
empty_set = relation_dom(empty_set),
inference(resolution,[],[f213,f123]) ).
fof(f239,plain,
empty_set = relation_dom(empty_set),
inference(forward_demodulation,[],[f236,f205]) ).
fof(f236,plain,
empty_set = relation_dom(sK18),
inference(resolution,[],[f213,f193]) ).
fof(f238,plain,
empty_set = relation_dom(empty_set),
inference(forward_demodulation,[],[f235,f204]) ).
fof(f235,plain,
empty_set = relation_dom(sK14),
inference(resolution,[],[f213,f184]) ).
fof(f237,plain,
empty_set = relation_dom(empty_set),
inference(forward_demodulation,[],[f234,f203]) ).
fof(f234,plain,
empty_set = relation_dom(sK12),
inference(resolution,[],[f213,f181]) ).
fof(f213,plain,
! [X0] :
( ~ empty(X0)
| relation_dom(X0) = empty_set ),
inference(resolution,[],[f133,f130]) ).
fof(f135,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f219,plain,
empty_set = relation_rng(empty_set),
inference(resolution,[],[f212,f123]) ).
fof(f226,plain,
empty_set = relation_rng(empty_set),
inference(forward_demodulation,[],[f223,f205]) ).
fof(f223,plain,
empty_set = relation_rng(sK18),
inference(resolution,[],[f212,f193]) ).
fof(f225,plain,
empty_set = relation_rng(empty_set),
inference(forward_demodulation,[],[f222,f204]) ).
fof(f222,plain,
empty_set = relation_rng(sK14),
inference(resolution,[],[f212,f184]) ).
fof(f224,plain,
empty_set = relation_rng(empty_set),
inference(forward_demodulation,[],[f221,f203]) ).
fof(f221,plain,
empty_set = relation_rng(sK12),
inference(resolution,[],[f212,f181]) ).
fof(f212,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(X0) ),
inference(resolution,[],[f131,f130]) ).
fof(f217,plain,
~ empty(function_inverse(sK5)),
inference(resolution,[],[f216,f122]) ).
fof(f216,plain,
! [X0] :
( one_to_one(X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f201,f129]) ).
fof(f166,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f154,plain,
! [X0] :
( ~ sP4(X0)
| ~ one_to_one(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f179,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f134,plain,
! [X0] :
( relation(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( relation(relation_dom(X0))
& empty(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f133,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f132,plain,
! [X0] :
( relation(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( relation(relation_rng(X0))
& empty(relation_rng(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_rng(X0))
& empty(relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(f131,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f209,plain,
function(empty_set),
inference(superposition,[],[f194,f205]) ).
fof(f205,plain,
empty_set = sK18,
inference(resolution,[],[f130,f193]) ).
fof(f204,plain,
empty_set = sK14,
inference(resolution,[],[f130,f184]) ).
fof(f203,plain,
empty_set = sK12,
inference(resolution,[],[f130,f181]) ).
fof(f130,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f165,plain,
! [X0] : element(sK10(X0),X0),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] : element(sK10(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f13,f101]) ).
fof(f101,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK10(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f13,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f129,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( empty(X0)
=> relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(f128,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f194,plain,
function(sK18),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( function(sK18)
& empty(sK18)
& relation(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f27,f117]) ).
fof(f117,plain,
( ? [X0] :
( function(X0)
& empty(X0)
& relation(X0) )
=> ( function(sK18)
& empty(sK18)
& relation(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f27,axiom,
? [X0] :
( function(X0)
& empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f193,plain,
empty(sK18),
inference(cnf_transformation,[],[f118]) ).
fof(f192,plain,
relation(sK18),
inference(cnf_transformation,[],[f118]) ).
fof(f191,plain,
one_to_one(sK17),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( one_to_one(sK17)
& function(sK17)
& relation(sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f30,f115]) ).
fof(f115,plain,
( ? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( one_to_one(sK17)
& function(sK17)
& relation(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f190,plain,
function(sK17),
inference(cnf_transformation,[],[f116]) ).
fof(f189,plain,
relation(sK17),
inference(cnf_transformation,[],[f116]) ).
fof(f188,plain,
function(sK16),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( function(sK16)
& relation(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f24,f113]) ).
fof(f113,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK16)
& relation(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] :
( function(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f187,plain,
relation(sK16),
inference(cnf_transformation,[],[f114]) ).
fof(f186,plain,
relation(sK15),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
relation(sK15),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f41,f111]) ).
fof(f111,plain,
( ? [X0] : relation(X0)
=> relation(sK15) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0] : relation(X0),
inference(pure_predicate_removal,[],[f31]) ).
fof(f31,axiom,
? [X0] :
( relation_empty_yielding(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(f185,plain,
relation(sK14),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( relation(sK14)
& empty(sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f25,f109]) ).
fof(f109,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK14)
& empty(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f184,plain,
empty(sK14),
inference(cnf_transformation,[],[f110]) ).
fof(f183,plain,
relation(sK13),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( relation(sK13)
& ~ empty(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f28,f107]) ).
fof(f107,plain,
( ? [X0] :
( relation(X0)
& ~ empty(X0) )
=> ( relation(sK13)
& ~ empty(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f182,plain,
~ empty(sK13),
inference(cnf_transformation,[],[f108]) ).
fof(f181,plain,
empty(sK12),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
empty(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f26,f105]) ).
fof(f105,plain,
( ? [X0] : empty(X0)
=> empty(sK12) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f180,plain,
~ empty(sK11),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
~ empty(sK11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f29,f103]) ).
fof(f103,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK11) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f125,plain,
relation(empty_set),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f123,plain,
empty(empty_set),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f173,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f201,plain,
! [X0] :
( one_to_one(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(global_subsumption,[],[f122,f121,f120,f119,f123,f125,f124,f127,f126,f128,f129,f130,f132,f131,f134,f133,f135,f136,f138,f137,f140,f195,f147,f146,f145,f196,f197,f142,f141,f198,f151,f150,f199,f200,f153,f155,f154,f160,f159,f158,f157,f156,f161,f164]) ).
fof(f164,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( one_to_one(X0)
& function(X0)
& relation(X0) )
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( one_to_one(X0)
& function(X0)
& relation(X0) )
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( function(X0)
& empty(X0)
& relation(X0) )
=> ( one_to_one(X0)
& function(X0)
& relation(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(f126,plain,
empty(empty_set),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(pure_predicate_removal,[],[f15]) ).
fof(f15,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f127,plain,
relation(empty_set),
inference(cnf_transformation,[],[f42]) ).
fof(f124,plain,
empty(empty_set),
inference(cnf_transformation,[],[f18]) ).
fof(f11778,plain,
( sK9(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK9(function_inverse(sK5))))
| spl19_1 ),
inference(subsumption_resolution,[],[f11777,f119]) ).
fof(f11777,plain,
( sK9(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK9(function_inverse(sK5))))
| ~ relation(sK5)
| spl19_1 ),
inference(subsumption_resolution,[],[f11776,f120]) ).
fof(f11776,plain,
( sK9(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK9(function_inverse(sK5))))
| ~ function(sK5)
| ~ relation(sK5)
| spl19_1 ),
inference(subsumption_resolution,[],[f11770,f121]) ).
fof(f11770,plain,
( sK9(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK9(function_inverse(sK5))))
| ~ one_to_one(sK5)
| ~ function(sK5)
| ~ relation(sK5)
| spl19_1 ),
inference(resolution,[],[f11766,f175]) ).
fof(f160,plain,
! [X0] :
( sK8(X0) != sK9(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f18398,plain,
( ~ spl19_14
| spl19_15
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f18379,f18111,f18396,f18392]) ).
fof(f18392,plain,
( spl19_14
<=> empty(relation_dom(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_14])]) ).
fof(f18396,plain,
( spl19_15
<=> ! [X0] : ~ sP1(X0,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_15])]) ).
fof(f18111,plain,
( spl19_10
<=> in(sK8(function_inverse(sK17)),relation_rng(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).
fof(f18379,plain,
( ! [X0] :
( ~ sP1(X0,sK17)
| ~ empty(relation_dom(sK17)) )
| ~ spl19_10 ),
inference(resolution,[],[f18113,f3882]) ).
fof(f18113,plain,
( in(sK8(function_inverse(sK17)),relation_rng(sK17))
| ~ spl19_10 ),
inference(avatar_component_clause,[],[f18111]) ).
fof(f18328,plain,
spl19_13,
inference(avatar_contradiction_clause,[],[f18327]) ).
fof(f18327,plain,
( $false
| spl19_13 ),
inference(subsumption_resolution,[],[f18326,f189]) ).
fof(f18326,plain,
( ~ relation(sK17)
| spl19_13 ),
inference(subsumption_resolution,[],[f18324,f190]) ).
fof(f18324,plain,
( ~ function(sK17)
| ~ relation(sK17)
| spl19_13 ),
inference(resolution,[],[f18298,f137]) ).
fof(f18298,plain,
( ~ relation(function_inverse(sK17))
| spl19_13 ),
inference(avatar_component_clause,[],[f18296]) ).
fof(f18296,plain,
( spl19_13
<=> relation(function_inverse(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_13])]) ).
fof(f18307,plain,
spl19_12,
inference(avatar_contradiction_clause,[],[f18306]) ).
fof(f18306,plain,
( $false
| spl19_12 ),
inference(subsumption_resolution,[],[f18305,f189]) ).
fof(f18305,plain,
( ~ relation(sK17)
| spl19_12 ),
inference(subsumption_resolution,[],[f18303,f190]) ).
fof(f18303,plain,
( ~ function(sK17)
| ~ relation(sK17)
| spl19_12 ),
inference(resolution,[],[f18294,f138]) ).
fof(f18294,plain,
( ~ function(function_inverse(sK17))
| spl19_12 ),
inference(avatar_component_clause,[],[f18292]) ).
fof(f18292,plain,
( spl19_12
<=> function(function_inverse(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_12])]) ).
fof(f18299,plain,
( spl19_11
| ~ spl19_12
| ~ spl19_13
| ~ spl19_9 ),
inference(avatar_split_clause,[],[f18115,f18107,f18296,f18292,f18288]) ).
fof(f18288,plain,
( spl19_11
<=> one_to_one(function_inverse(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_11])]) ).
fof(f18107,plain,
( spl19_9
<=> sP3(function_inverse(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).
fof(f18115,plain,
( ~ relation(function_inverse(sK17))
| ~ function(function_inverse(sK17))
| one_to_one(function_inverse(sK17))
| ~ spl19_9 ),
inference(resolution,[],[f18109,f214]) ).
fof(f18109,plain,
( sP3(function_inverse(sK17))
| ~ spl19_9 ),
inference(avatar_component_clause,[],[f18107]) ).
fof(f18114,plain,
( spl19_9
| spl19_10 ),
inference(avatar_split_clause,[],[f10439,f18111,f18107]) ).
fof(f11745,plain,
( ~ spl19_7
| spl19_8
| spl19_1 ),
inference(avatar_split_clause,[],[f11726,f10406,f11743,f11739]) ).
fof(f11739,plain,
( spl19_7
<=> empty(relation_dom(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).
fof(f11743,plain,
( spl19_8
<=> ! [X0] : ~ sP1(X0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).
fof(f10484,plain,
spl19_6,
inference(avatar_contradiction_clause,[],[f10483]) ).
fof(f10483,plain,
( $false
| spl19_6 ),
inference(subsumption_resolution,[],[f10482,f125]) ).
fof(f10482,plain,
( ~ relation(empty_set)
| spl19_6 ),
inference(subsumption_resolution,[],[f10480,f209]) ).
fof(f10480,plain,
( ~ function(empty_set)
| ~ relation(empty_set)
| spl19_6 ),
inference(resolution,[],[f10478,f137]) ).
fof(f10478,plain,
( ~ relation(function_inverse(empty_set))
| spl19_6 ),
inference(avatar_component_clause,[],[f10476]) ).
fof(f10476,plain,
( spl19_6
<=> relation(function_inverse(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).
fof(f10479,plain,
( spl19_5
| ~ spl19_6 ),
inference(avatar_split_clause,[],[f10432,f10476,f10472]) ).
fof(f10472,plain,
( spl19_5
<=> empty(function_inverse(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).
fof(f10458,plain,
( ~ spl19_3
| spl19_4 ),
inference(avatar_split_clause,[],[f10436,f10455,f10451]) ).
fof(f10451,plain,
( spl19_3
<=> empty(function_inverse(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
fof(f10455,plain,
( spl19_4
<=> empty(relation_rng(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
fof(f10413,plain,
( spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f10398,f10410,f10406]) ).
fof(f10410,plain,
( spl19_2
<=> empty(relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU221+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Mon Apr 29 20:56:26 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (5596)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (5599)WARNING: value z3 for option sas not known
% 0.21/0.38 % (5597)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (5598)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (5599)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (5603)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.39 % (5600)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (5601)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.39 % (5602)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.42 TRYING [4]
% 0.21/0.44 TRYING [3]
% 0.21/0.47 TRYING [5]
% 0.21/0.50 TRYING [4]
% 1.31/0.55 TRYING [6]
% 1.93/0.63 TRYING [5]
% 2.26/0.70 TRYING [7]
% 4.06/0.95 TRYING [8]
% 6.35/1.25 TRYING [6]
% 6.87/1.36 % (5599)First to succeed.
% 7.18/1.39 % (5599)Refutation found. Thanks to Tanya!
% 7.18/1.39 % SZS status Theorem for theBenchmark
% 7.18/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 7.18/1.40 % (5599)------------------------------
% 7.18/1.40 % (5599)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 7.18/1.40 % (5599)Termination reason: Refutation
% 7.18/1.40
% 7.18/1.40 % (5599)Memory used [KB]: 8144
% 7.18/1.40 % (5599)Time elapsed: 1.009 s
% 7.18/1.40 % (5599)Instructions burned: 4575 (million)
% 7.18/1.40 % (5599)------------------------------
% 7.18/1.40 % (5599)------------------------------
% 7.18/1.40 % (5596)Success in time 1.034 s
%------------------------------------------------------------------------------