TSTP Solution File: SEU221+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU221+3 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 May 21 03:55:36 EDT 2024
% Result : Theorem 22.95s 3.60s
% Output : Refutation 22.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 83
% Syntax : Number of formulae : 5134 ( 410 unt; 0 def)
% Number of atoms : 12753 (4860 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 14889 (7270 ~;7352 |; 186 &)
% ( 35 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 38 ( 36 usr; 24 prp; 0-4 aty)
% Number of functors : 23 ( 23 usr; 10 con; 0-2 aty)
% Number of variables : 7153 (7112 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45353,plain,
$false,
inference(avatar_sat_refutation,[],[f630,f640,f641,f642,f643,f644,f15631,f15659,f15684,f15705,f15999,f21037,f23823,f23831,f23837,f23901,f24591,f25417,f45311,f45342,f45347,f45352]) ).
fof(f45352,plain,
spl21_23,
inference(avatar_contradiction_clause,[],[f45351]) ).
fof(f45351,plain,
( $false
| spl21_23 ),
inference(subsumption_resolution,[],[f45350,f132]) ).
fof(f132,plain,
relation(sK5),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ~ one_to_one(function_inverse(sK5))
& one_to_one(sK5)
& function(sK5)
& relation(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f48,f94]) ).
fof(f94,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(f48,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f38,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(f45350,plain,
( ~ relation(sK5)
| spl21_23 ),
inference(subsumption_resolution,[],[f45348,f133]) ).
fof(f133,plain,
function(sK5),
inference(cnf_transformation,[],[f95]) ).
fof(f45348,plain,
( ~ function(sK5)
| ~ relation(sK5)
| spl21_23 ),
inference(resolution,[],[f45341,f153]) ).
fof(f153,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,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(f45341,plain,
( ~ relation(function_inverse(sK5))
| spl21_23 ),
inference(avatar_component_clause,[],[f45339]) ).
fof(f45339,plain,
( spl21_23
<=> relation(function_inverse(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).
fof(f45347,plain,
spl21_22,
inference(avatar_contradiction_clause,[],[f45346]) ).
fof(f45346,plain,
( $false
| spl21_22 ),
inference(subsumption_resolution,[],[f45345,f132]) ).
fof(f45345,plain,
( ~ relation(sK5)
| spl21_22 ),
inference(subsumption_resolution,[],[f45343,f133]) ).
fof(f45343,plain,
( ~ function(sK5)
| ~ relation(sK5)
| spl21_22 ),
inference(resolution,[],[f45337,f154]) ).
fof(f154,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f45337,plain,
( ~ function(function_inverse(sK5))
| spl21_22 ),
inference(avatar_component_clause,[],[f45335]) ).
fof(f45335,plain,
( spl21_22
<=> function(function_inverse(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_22])]) ).
fof(f45342,plain,
( ~ spl21_22
| ~ spl21_23
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f45333,f15624,f45339,f45335]) ).
fof(f15624,plain,
( spl21_3
<=> sP3(function_inverse(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f45333,plain,
( ~ relation(function_inverse(sK5))
| ~ function(function_inverse(sK5))
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f45332,f135]) ).
fof(f135,plain,
~ one_to_one(function_inverse(sK5)),
inference(cnf_transformation,[],[f95]) ).
fof(f45332,plain,
( ~ relation(function_inverse(sK5))
| ~ function(function_inverse(sK5))
| one_to_one(function_inverse(sK5))
| ~ spl21_3 ),
inference(resolution,[],[f15626,f239]) ).
fof(f239,plain,
! [X0] :
( ~ sP3(X0)
| ~ relation(X0)
| ~ function(X0)
| one_to_one(X0) ),
inference(resolution,[],[f177,f171]) ).
fof(f171,plain,
! [X0] :
( ~ sP4(X0)
| ~ sP3(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ( ( one_to_one(X0)
| ~ sP3(X0) )
& ( sP3(X0)
| ~ one_to_one(X0) ) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ( one_to_one(X0)
<=> sP3(X0) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f177,plain,
! [X0] :
( sP4(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( sP4(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f64,f92,f91]) ).
fof(f91,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(f64,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,[],[f63]) ).
fof(f63,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(f15626,plain,
( sP3(function_inverse(sK5))
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f15624]) ).
fof(f45311,plain,
spl21_3,
inference(avatar_contradiction_clause,[],[f45310]) ).
fof(f45310,plain,
( $false
| spl21_3 ),
inference(subsumption_resolution,[],[f45309,f15625]) ).
fof(f15625,plain,
( ~ sP3(function_inverse(sK5))
| spl21_3 ),
inference(avatar_component_clause,[],[f15624]) ).
fof(f45309,plain,
( sP3(function_inverse(sK5))
| spl21_3 ),
inference(trivial_inequality_removal,[],[f45307]) ).
fof(f45307,plain,
( sK9(function_inverse(sK5)) != sK9(function_inverse(sK5))
| sP3(function_inverse(sK5))
| spl21_3 ),
inference(superposition,[],[f176,f45302]) ).
fof(f45302,plain,
( sK9(function_inverse(sK5)) = sK10(function_inverse(sK5))
| spl21_3 ),
inference(forward_demodulation,[],[f45301,f15697]) ).
fof(f15697,plain,
( sK9(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK9(function_inverse(sK5))))
| spl21_3 ),
inference(subsumption_resolution,[],[f15696,f132]) ).
fof(f15696,plain,
( sK9(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK9(function_inverse(sK5))))
| ~ relation(sK5)
| spl21_3 ),
inference(subsumption_resolution,[],[f15695,f133]) ).
fof(f15695,plain,
( sK9(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK9(function_inverse(sK5))))
| ~ function(sK5)
| ~ relation(sK5)
| spl21_3 ),
inference(subsumption_resolution,[],[f15689,f134]) ).
fof(f134,plain,
one_to_one(sK5),
inference(cnf_transformation,[],[f95]) ).
fof(f15689,plain,
( sK9(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK9(function_inverse(sK5))))
| ~ one_to_one(sK5)
| ~ function(sK5)
| ~ relation(sK5)
| spl21_3 ),
inference(resolution,[],[f15685,f194]) ).
fof(f194,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,[],[f78]) ).
fof(f78,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,[],[f77]) ).
fof(f77,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,[],[f36]) ).
fof(f36,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(f15685,plain,
( in(sK9(function_inverse(sK5)),relation_rng(sK5))
| spl21_3 ),
inference(subsumption_resolution,[],[f15610,f15625]) ).
fof(f15610,plain,
( in(sK9(function_inverse(sK5)),relation_rng(sK5))
| sP3(function_inverse(sK5)) ),
inference(superposition,[],[f173,f15604]) ).
fof(f15604,plain,
relation_rng(sK5) = relation_dom(function_inverse(sK5)),
inference(subsumption_resolution,[],[f15603,f133]) ).
fof(f15603,plain,
( ~ function(sK5)
| relation_rng(sK5) = relation_dom(function_inverse(sK5)) ),
inference(subsumption_resolution,[],[f15595,f132]) ).
fof(f15595,plain,
( ~ relation(sK5)
| ~ function(sK5)
| relation_rng(sK5) = relation_dom(function_inverse(sK5)) ),
inference(resolution,[],[f4411,f134]) ).
fof(f4411,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0)) ),
inference(resolution,[],[f1487,f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| relation_dom(X0) = relation_rng(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( sK8(X0,X1) != apply(X0,sK7(X0,X1))
| ~ in(sK7(X0,X1),relation_rng(X1)) )
& sK7(X0,X1) = apply(X1,sK8(X0,X1))
& in(sK8(X0,X1),relation_dom(X1)) )
| ~ sP0(sK7(X0,X1),sK8(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,[sK7,sK8])],[f101,f102]) ).
fof(f102,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) )
=> ( ( ( sK8(X0,X1) != apply(X0,sK7(X0,X1))
| ~ in(sK7(X0,X1),relation_rng(X1)) )
& sK7(X0,X1) = apply(X1,sK8(X0,X1))
& in(sK8(X0,X1),relation_dom(X1)) )
| ~ sP0(sK7(X0,X1),sK8(X0,X1),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f101,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,[],[f100]) ).
fof(f100,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,[],[f99]) ).
fof(f99,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,[],[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) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1487,plain,
! [X0] :
( sP1(function_inverse(X0),X0)
| ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0) ),
inference(subsumption_resolution,[],[f1486,f153]) ).
fof(f1486,plain,
! [X0] :
( ~ relation(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| sP1(function_inverse(X0),X0) ),
inference(subsumption_resolution,[],[f1484,f154]) ).
fof(f1484,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,[],[f169,f217]) ).
fof(f217,plain,
! [X0] :
( ~ sP2(X0,function_inverse(X0))
| sP1(function_inverse(X0),X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( sP1(X1,X0)
| function_inverse(X0) != X1
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( ( function_inverse(X0) = X1
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| function_inverse(X0) != X1 ) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ( function_inverse(X0) = X1
<=> sP1(X1,X0) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f169,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( sP2(X0,X1)
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f62,f89,f88,f87]) ).
fof(f87,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(f62,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,[],[f61]) ).
fof(f61,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,[],[f35]) ).
fof(f35,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(f173,plain,
! [X0] :
( in(sK9(X0),relation_dom(X0))
| sP3(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( sP3(X0)
| ( sK9(X0) != sK10(X0)
& apply(X0,sK9(X0)) = apply(X0,sK10(X0))
& in(sK10(X0),relation_dom(X0))
& in(sK9(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,[sK9,sK10])],[f109,f110]) ).
fof(f110,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK9(X0) != sK10(X0)
& apply(X0,sK9(X0)) = apply(X0,sK10(X0))
& in(sK10(X0),relation_dom(X0))
& in(sK9(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,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,[],[f108]) ).
fof(f108,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,[],[f91]) ).
fof(f45301,plain,
( sK10(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK9(function_inverse(sK5))))
| spl21_3 ),
inference(forward_demodulation,[],[f15734,f17101]) ).
fof(f17101,plain,
( apply(function_inverse(sK5),sK9(function_inverse(sK5))) = apply(function_inverse(sK5),sK10(function_inverse(sK5)))
| spl21_3 ),
inference(global_subsumption,[],[f137,f140,f139,f180,f223,f182,f192,f132,f133,f134,f136,f138,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f135,f141,f183,f184,f144,f145,f181,f143,f146,f226,f227,f228,f232,f225,f147,f148,f149,f150,f238,f199,f170,f171,f177,f185,f186,f241,f242,f236,f250,f251,f252,f253,f244,f237,f263,f264,f265,f266,f257,f142,f151,f152,f153,f154,f173,f275,f274,f278,f276,f174,f176,f197,f198,f273,f279,f243,f245,f256,f258,f157,f158,f187,f365,f367,f363,f369,f364,f366,f371,f373,f188,f380,f381,f382,f383,f189,f190,f388,f389,f390,f391,f191,f196,f217,f239,f395,f240,f282,f284,f295,f435,f436,f297,f458,f459,f311,f481,f482,f166,f313,f504,f505,f327,f527,f528,f329,f550,f551,f343,f573,f574,f345,f596,f597,f375,f618,f201,f621,f156,f623,f646,f655,f656,f657,f658,f659,f660,f661,f662,f663,f664,f647,f666,f667,f675,f676,f677,f678,f668,f619,f649,f686,f687,f690,f650,f705,f706,f709,f167,f665,f723,f724,f725,f727,f728,f669,f742,f743,f744,f746,f747,f376,f776,f777,f769,f788,f789,f790,f791,f781,f778,f798,f799,f782,f817,f818,f200,f783,f841,f842,f797,f860,f861,f801,f884,f885,f816,f908,f909,f820,f932,f933,f767,f956,f957,f965,f966,f967,f968,f958,f175,f770,f977,f978,f986,f987,f988,f989,f979,f772,f996,f997,f1005,f1006,f1007,f1008,f998,f220,f773,f1015,f1016,f1024,f1025,f1026,f1027,f1017,f774,f1034,f1035,f1043,f1044,f1045,f1046,f1036,f802,f1053,f1054,f1057,f821,f1077,f1078,f1081,f840,f1101,f1102,f1105,f844,f1125,f1126,f1129,f859,f1149,f1150,f1153,f863,f1178,f1179,f1182,f883,f1207,f1208,f1211,f193,f887,f1243,f1244,f1247,f907,f1272,f1273,f1276,f911,f1301,f1302,f1305,f931,f1330,f1331,f1334,f935,f1359,f1360,f1363,f839,f955,f1390,f1391,f1394,f959,f1409,f1410,f1413,f976,f1428,f1429,f1432,f980,f1447,f1448,f1451,f995,f1466,f1467,f1470,f169,f999,f1489,f1490,f1493,f1014,f1508,f1509,f1512,f1018,f1527,f1528,f1531,f1033,f1546,f1547,f1550,f1037,f1564,f1565,f1566,f1568,f1569,f779,f1584,f1585,f1586,f1587,f1588,f1590,f1598,f1599,f1589,f1601,f1602,f1591,f1620,f1621,f1629,f1630,f1631,f1632,f1622,f219,f1592,f1644,f1645,f1653,f1654,f1655,f1656,f1646,f1594,f1664,f1665,f1673,f1674,f1675,f1676,f1666,f218,f1685,f1595,f1688,f1689,f1697,f1698,f1699,f1700,f1690,f1596,f1708,f1709,f1717,f1718,f1719,f1720,f1710,f222,f1600,f1731,f1732,f1735,f1604,f1755,f1756,f1759,f1619,f1779,f1780,f1783,f1623,f1798,f1799,f1802,f1643,f1817,f1818,f1821,f194,f1835,f1647,f1838,f1839,f1842,f1663,f1857,f1858,f1861,f1667,f1876,f1877,f1880,f1687,f1895,f1896,f1899,f1691,f1914,f1915,f1918,f1707,f1933,f1934,f1937,f1711,f1952,f1953,f1956,f780,f1970,f1971,f1972,f1973,f1974,f1975,f1977,f1985,f1986,f1976,f1988,f1989,f1978,f2007,f2008,f1979,f2026,f2027,f195,f2044,f1981,f2047,f2048,f1982,f2066,f2067,f1983,f2085,f2086,f1987,f2104,f2105,f2108,f1991,f2128,f2129,f2132,f2006,f2152,f2153,f2156,f2010,f2176,f2177,f2180,f2025,f2200,f2201,f2204,f2029,f2224,f2225,f2228,f221,f2046,f2251,f2252,f2255,f2050,f2275,f2276,f2279,f2065,f2299,f2300,f2303,f2069,f2323,f2324,f2327,f2084,f2347,f2348,f2351,f2088,f2371,f2372,f2375,f845,f2394,f2395,f2396,f2398,f2399,f1583,f2418,f2419,f2420,f2422,f2423,f864,f2432,f2433,f2434,f2436,f2437,f888,f2461,f2462,f2463,f2465,f2466,f172,f912,f2492,f2493,f2494,f2496,f2497,f936,f2521,f2522,f2523,f2525,f2526,f1052,f2550,f2551,f2552,f2554,f2555,f1056,f2579,f2580,f2581,f2583,f2584,f1076,f2608,f2609,f2610,f2612,f2613,f1080,f2637,f2638,f2639,f2641,f2642,f1100,f2666,f2667,f2668,f2670,f2671,f1104,f2695,f2696,f2697,f2699,f2700,f1124,f2724,f2725,f2726,f2728,f2729,f1128,f2753,f2754,f2755,f2757,f2758,f1605,f2782,f2783,f2784,f2786,f2787,f161,f1624,f2809,f2810,f2811,f2813,f2814,f1648,f2828,f2829,f2830,f2832,f2833,f1668,f2847,f2848,f2849,f2851,f2852,f1692,f2866,f2867,f2868,f2870,f2871,f1712,f2885,f2886,f2887,f2889,f2890,f1992,f2904,f2905,f2906,f2908,f2909,f2011,f2928,f2929,f2930,f2932,f2933,f2030,f2952,f2953,f2954,f2956,f2957,f2051,f2976,f2977,f2978,f2980,f2981,f2070,f3000,f3001,f3002,f3004,f3005,f2089,f3024,f3025,f3026,f3028,f3029,f162,f1148,f3051,f3052,f3053,f3055,f3056,f1152,f3085,f3086,f3087,f3089,f3090,f1177,f3119,f3120,f3121,f3123,f3124,f1181,f3153,f3154,f3155,f3157,f3158,f1206,f3187,f3188,f3189,f3191,f3192,f1210,f3221,f3222,f3223,f3225,f3226,f1242,f3255,f3256,f3257,f3259,f3260,f1246,f3289,f3290,f3291,f3293,f3294,f1271,f3323,f3324,f3325,f3327,f3328,f1275,f3357,f3358,f3359,f3361,f3362,f1300,f3391,f3392,f3393,f3395,f3396,f163,f1304,f3428,f3429,f3430,f3432,f3433,f1329,f3462,f3463,f3464,f3466,f3467,f1333,f3496,f3497,f3498,f3500,f3501,f1358,f3530,f3531,f3532,f3534,f3535,f1362,f3564,f3565,f3566,f3568,f3569,f1730,f3598,f3599,f3600,f3602,f3603,f1734,f3627,f3628,f3629,f3631,f3632,f1754,f3656,f3657,f3658,f3660,f3661,f1758,f3685,f3686,f3687,f3689,f3690,f1778,f3714,f3715,f3716,f3718,f3719,f1782,f3738,f3739,f3740,f3742,f3743,f384,f3762,f3777,f3778,f3770,f3789,f3790,f3791,f3792,f3782,f3779,f3801,f3802,f3783,f3820,f3821,f3784,f3839,f3840,f3800,f3858,f3859,f3804,f3882,f3883,f620,f3819,f3910,f3911,f3823,f3934,f3935,f3768,f3958,f3959,f3771,f3972,f3973,f3981,f3982,f3983,f3984,f3974,f3773,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524,f15525,f15527,f15528,f15529,f15345,f15543,f15544,f15545,f15547,f15548,f15549,f15349,f15568,f15569,f15570,f15572,f15573,f15574,f4411,f15604,f15622,f15610,f15611,f15612,f15613,f15614,f15616,f15617,f15618,f15619,f15620,f15615,f15625,f15632,f15606,f15637,f15638,f15639,f15640,f15641,f15642,f15643,f15644,f15645,f15646,f15647,f15648,f15649,f15636,f4605,f15661,f15662,f15663,f15665,f15666,f15667,f15685,f15687,f15694,f15697,f15686,f15690,f4611,f15708,f15709,f15710,f15712,f15713,f15714,f15707,f15724,f15731,f15734,f15727,f15483,f15735,f15736,f15737,f15739,f15740,f15741,f15487,f15760,f15761,f15762,f15764,f15765,f15766,f15503,f15785,f15786,f15787,f15789,f15790,f15791,f15507,f15810,f15811,f15812,f15814,f15815,f15816,f15299,f15835,f15836,f15837,f15839,f15840,f15841,f15846,f15847,f15848,f15849,f15838,f4875,f15856,f15857,f15858,f15860,f15861,f15862,f15300,f15871,f15872,f15873,f15875,f15876,f15877,f15882,f15883,f15884,f15885,f15874,f15457,f15892,f15893,f15894,f15896,f15897,f15898,f15903,f15904,f15905,f15906,f15895,f4881,f15913,f15914,f15915,f15917,f15918,f15919,f15458,f15928,f15929,f15930,f15932,f15933,f15934,f15939,f15940,f15941,f15942,f15931,f15598,f15949,f15950,f15951,f15953,f15954,f15955,f764,f15974,f15975,f15976,f15977,f15978,f15979,f15980,f15981,f15983,f15989,f15985,f15986,f15987,f15990,f15982,f16000,f16001,f16002,f16003,f16004,f16005,f16007,f16008,f16021,f16022,f16025,f16026,f16031,f16032,f16033,f16034,f16023,f16009,f16042,f16043,f16046,f16047,f16052,f16053,f16054,f16055,f765,f16056,f16057,f16058,f16059,f16060,f16061,f16062,f16063,f16065,f16071,f16067,f16068,f16069,f16072,f16044,f16011,f16080,f16081,f16084,f16085,f16090,f16091,f16092,f16093,f16082,f766,f16100,f16101,f16102,f16103,f16104,f16105,f16106,f16107,f16109,f16115,f16111,f16112,f16113,f16116,f16012,f16118,f16119,f16122,f16123,f16128,f16129,f16130,f16131,f16120,f16013,f16139,f16140,f16143,f16144,f16149,f16150,f16151,f16152,f16141,f3765,f16159,f16160,f16161,f16162,f16163,f16164,f16165,f16166,f16168,f16174,f16170,f16171,f16172,f16175,f16020,f16176,f16177,f16178,f16180,f16181,f16182,f16024,f16196,f16197,f16198,f16200,f16201,f16202,f16041,f16216,f16217,f16218,f16220,f16221,f16222,f16045,f16236,f16237,f16238,f16240,f16241,f16242,f16079,f16256,f16257,f16258,f16260,f16261,f16262,f16083,f16276,f16277,f16278,f16280,f16281,f16282,f16117,f16296,f16297,f16298,f16300,f16301,f16302,f16121,f16316,f16317,f16318,f16320,f16321,f16322,f16138,f16336,f16337,f16338,f16340,f16341,f16342,f16142,f16356,f16357,f16358,f16360,f16361,f16362,f3766,f16376,f16377,f16378,f16379,f16380,f16381,f16382,f16383,f16385,f16391,f16387,f16388,f16389,f16392,f16064,f16393,f16394,f16395,f16397,f16398,f16399,f16108,f16413,f16414,f16415,f16417,f16418,f16419,f16167,f16433,f16434,f16435,f16436,f16437,f16438,f16440,f16441,f16454,f16455,f16458,f16459,f16464,f16465,f16466,f16467,f16456,f16442,f16475,f16476,f16479,f16480,f16485,f16486,f16487,f16488,f16477,f3767,f16495,f16496,f16497,f16498,f16499,f16500,f16501,f16502,f16504,f16510,f16506,f16507,f16508,f16511,f16444,f16513,f16514,f16517,f16518,f16523,f16524,f16525,f16526,f16515,f16445,f16534,f16535,f16538,f16539,f16544,f16545,f16546,f16547,f5256,f16549,f16550,f16536,f16446,f16559,f16560,f16563,f16564,f16569,f16570,f16571,f16572,f16561,f1641,f16579,f16453,f16584,f16585,f16586,f16588,f16589,f16590,f16457,f16604,f16605,f16606,f16608,f16609,f16610,f16474,f16624,f16625,f16626,f16628,f16629,f16630,f16478,f16644,f16645,f16646,f16648,f16649,f16650,f16512,f16664,f16665,f16666,f16668,f16669,f16670,f16516,f16684,f16685,f16686,f16688,f16689,f16690,f16533,f16704,f16705,f16706,f16708,f16709,f16710,f16537,f16724,f16725,f16726,f16728,f16729,f16730,f16558,f16744,f16745,f16746,f16748,f16749,f16750,f16562,f16764,f16765,f16766,f16768,f16769,f16770,f16384,f16784,f16785,f16786,f16788,f16789,f16790,f16795,f16796,f16797,f16798,f4606,f16814,f16800,f16815,f16802,f16803,f16804,f16806,f16808,f16810,f16821,f16822,f16787,f16827,f16828,f16831,f16832,f16818,f16847,f16848,f16851,f16852,f16826,f16861,f16862,f16863,f16865,f16866,f16867,f16830,f16886,f16887,f16888,f16890,f16891,f16892,f16503,f16911,f16912,f16913,f16915,f16916,f16917,f16922,f16923,f16924,f16925,f16914,f16927,f16928,f16931,f16932,f4876,f16961,f16947,f16962,f16949,f16950,f16951,f16953,f16955,f16957,f16968,f16969,f16965,f16974,f16975,f16977,f16978,f16979,f16926,f16988,f16989,f16990,f16992,f16993,f16994,f16930,f17013,f17014,f17015,f17017,f17018,f17019,f16846,f17038,f17039,f17040,f17042,f17043,f17044,f16850,f17058,f17059,f17060,f17062,f17063,f17064,f16973,f17078,f17079,f17080,f17082,f17083,f17084,f975,f17098]) ).
fof(f17098,plain,
( ~ relation(function_inverse(sK5))
| ~ function(function_inverse(sK5))
| apply(function_inverse(sK5),sK9(function_inverse(sK5))) = apply(function_inverse(sK5),sK10(function_inverse(sK5))) ),
inference(resolution,[],[f975,f135]) ).
fof(f975,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| apply(X0,sK9(X0)) = apply(X0,sK10(X0)) ),
inference(resolution,[],[f175,f239]) ).
fof(f17084,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(sK6(powerset(X1)))) = relation_composition(function_inverse(sK5),X0)
| ~ empty(X1) ),
inference(resolution,[],[f16973,f4602]) ).
fof(f17083,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(powerset(X1))) = relation_composition(function_inverse(sK5),X0)
| ~ empty(X1) ),
inference(resolution,[],[f16973,f646]) ).
fof(f17082,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(relation_rng(X1)) = relation_composition(function_inverse(sK5),X0)
| ~ empty(X1) ),
inference(resolution,[],[f16973,f147]) ).
fof(f17080,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(function_inverse(sK5),X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f16973,f188]) ).
fof(f17079,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(function_inverse(sK5),X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f16973,f190]) ).
fof(f17078,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(relation_dom(X1)) = relation_composition(function_inverse(sK5),X0)
| ~ empty(X1) ),
inference(resolution,[],[f16973,f149]) ).
fof(f16973,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(function_inverse(sK5),X0) ),
inference(resolution,[],[f16965,f149]) ).
fof(f17064,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(sK6(powerset(X1)))) = relation_composition(X0,function_inverse(sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16850,f4602]) ).
fof(f17063,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(powerset(X1))) = relation_composition(X0,function_inverse(sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16850,f646]) ).
fof(f17062,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(relation_rng(X1)) = relation_composition(X0,function_inverse(sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16850,f147]) ).
fof(f17060,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_composition(X0,function_inverse(sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f16850,f188]) ).
fof(f17059,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_composition(X0,function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f16850,f190]) ).
fof(f17058,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(relation_dom(X1)) = relation_composition(X0,function_inverse(sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16850,f149]) ).
fof(f16850,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,function_inverse(sK5)) ),
inference(resolution,[],[f16818,f147]) ).
fof(f17044,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(sK6(powerset(X1)))) = relation_composition(X0,function_inverse(sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16846,f4602]) ).
fof(f17043,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(powerset(X1))) = relation_composition(X0,function_inverse(sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16846,f646]) ).
fof(f17042,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(relation_rng(X1)) = relation_composition(X0,function_inverse(sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16846,f147]) ).
fof(f17040,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(X0,function_inverse(sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f16846,f188]) ).
fof(f17039,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(X0,function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f16846,f190]) ).
fof(f17038,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(relation_dom(X1)) = relation_composition(X0,function_inverse(sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16846,f149]) ).
fof(f16846,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,function_inverse(sK5)) ),
inference(resolution,[],[f16818,f149]) ).
fof(f17019,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK5),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f16930,f4602]) ).
fof(f17018,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(sK11(powerset(X0))),sK5),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f16930,f646]) ).
fof(f17017,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),sK5),empty_set) ),
inference(resolution,[],[f16930,f147]) ).
fof(f17015,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK5),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16930,f188]) ).
fof(f17014,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK5),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16930,f190]) ).
fof(f17013,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),sK5),empty_set) ),
inference(resolution,[],[f16930,f149]) ).
fof(f16930,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),sK5),empty_set) ),
inference(resolution,[],[f16914,f147]) ).
fof(f16994,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK5),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f16926,f4602]) ).
fof(f16993,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(sK11(powerset(X0))),sK5),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f16926,f646]) ).
fof(f16992,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),sK5),empty_set) ),
inference(resolution,[],[f16926,f147]) ).
fof(f16990,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK5),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16926,f188]) ).
fof(f16989,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK5),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16926,f190]) ).
fof(f16988,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),sK5),empty_set) ),
inference(resolution,[],[f16926,f149]) ).
fof(f16926,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),sK5),empty_set) ),
inference(resolution,[],[f16914,f149]) ).
fof(f16979,plain,
! [X0,X1] :
( sK11(sK6(powerset(X1))) = relation_composition(function_inverse(sK5),X0)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16965,f4602]) ).
fof(f16978,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK11(powerset(X1)) = relation_composition(function_inverse(sK5),X0) ),
inference(resolution,[],[f16965,f646]) ).
fof(f16977,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(function_inverse(sK5),X0) ),
inference(resolution,[],[f16965,f147]) ).
fof(f16975,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(function_inverse(sK5),X0)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f16965,f188]) ).
fof(f16974,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(function_inverse(sK5),X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f16965,f190]) ).
fof(f16965,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(function_inverse(sK5),X0) = X1
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f16954,f133]) ).
fof(f16954,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK5),X0) = X1
| ~ empty(X1)
| ~ function(sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4876,f132]) ).
fof(f16969,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK19),X0) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f16959,f212]) ).
fof(f16959,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK19),X0) = X1
| ~ empty(X1)
| ~ function(sK19)
| ~ empty(X0) ),
inference(resolution,[],[f4876,f211]) ).
fof(f16968,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK18),X0) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f16958,f210]) ).
fof(f16958,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK18),X0) = X1
| ~ empty(X1)
| ~ function(sK18)
| ~ empty(X0) ),
inference(resolution,[],[f4876,f209]) ).
fof(f16957,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK17),X0) = X1
| ~ empty(X1)
| ~ function(sK17)
| ~ empty(X0) ),
inference(resolution,[],[f4876,f208]) ).
fof(f16955,plain,
! [X0,X1] :
( relation_composition(function_inverse(sK15),X0) = X1
| ~ empty(X1)
| ~ function(sK15)
| ~ empty(X0) ),
inference(resolution,[],[f4876,f205]) ).
fof(f16953,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,[],[f4876,f148]) ).
fof(f16951,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,[],[f4876,f189]) ).
fof(f16950,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,[],[f4876,f191]) ).
fof(f16949,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,[],[f4876,f196]) ).
fof(f16962,plain,
! [X2,X0,X1] :
( relation_composition(function_inverse(function_inverse(X0)),X1) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f16948,f154]) ).
fof(f16948,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,[],[f4876,f153]) ).
fof(f16947,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,[],[f4876,f150]) ).
fof(f16961,plain,
! [X2,X0,X1] :
( relation_composition(function_inverse(X0),X1) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f16946,f144]) ).
fof(f16946,plain,
! [X2,X0,X1] :
( relation_composition(function_inverse(X0),X1) = X2
| ~ empty(X2)
| ~ function(X0)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4876,f145]) ).
fof(f4876,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| relation_composition(function_inverse(X1),X0) = X2
| ~ empty(X2)
| ~ function(X1)
| ~ empty(X0) ),
inference(resolution,[],[f385,f153]) ).
fof(f16932,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(sK6(powerset(X0))),sK5),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f16914,f4602]) ).
fof(f16931,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(X0)),sK5),empty_set) ),
inference(resolution,[],[f16914,f646]) ).
fof(f16928,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK5),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16914,f188]) ).
fof(f16927,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK5),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16914,f190]) ).
fof(f16914,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK5),empty_set) ),
inference(resolution,[],[f16503,f136]) ).
fof(f16925,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,sK5),empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16921,f228]) ).
fof(f16921,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,sK5),sK20)
| ~ empty(X0) ),
inference(resolution,[],[f16503,f215]) ).
fof(f16924,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,sK5),empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16920,f227]) ).
fof(f16920,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,sK5),sK16)
| ~ empty(X0) ),
inference(resolution,[],[f16503,f206]) ).
fof(f16923,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,sK5),empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16919,f226]) ).
fof(f16919,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,sK5),sK14)
| ~ empty(X0) ),
inference(resolution,[],[f16503,f203]) ).
fof(f16922,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,sK5),empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16918,f225]) ).
fof(f16918,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK5),sK12(X1))
| ~ empty(X0) ),
inference(resolution,[],[f16503,f183]) ).
fof(f16917,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK5),sK11(sK6(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16503,f4602]) ).
fof(f16916,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK5),sK11(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16503,f646]) ).
fof(f16915,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK5),relation_rng(X1)) ),
inference(resolution,[],[f16503,f147]) ).
fof(f16913,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK5),relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f16503,f188]) ).
fof(f16912,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK5),relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f16503,f190]) ).
fof(f16911,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK5),relation_dom(X1)) ),
inference(resolution,[],[f16503,f149]) ).
fof(f16503,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_composition(X0,sK5),X1)
| ~ empty(X0) ),
inference(resolution,[],[f3767,f132]) ).
fof(f16892,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(sK11(sK6(powerset(X0))))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f16830,f4602]) ).
fof(f16891,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(sK11(powerset(X0)))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f16830,f646]) ).
fof(f16890,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_rng(X0))),empty_set) ),
inference(resolution,[],[f16830,f147]) ).
fof(f16888,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_composition(X0,X1))),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16830,f188]) ).
fof(f16887,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_composition(X0,X1))),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16830,f190]) ).
fof(f16886,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_dom(X0))),empty_set) ),
inference(resolution,[],[f16830,f149]) ).
fof(f16830,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_rng(X0)),empty_set) ),
inference(resolution,[],[f16787,f147]) ).
fof(f16867,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(sK11(sK6(powerset(X0))))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f16826,f4602]) ).
fof(f16866,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(sK11(powerset(X0)))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f16826,f646]) ).
fof(f16865,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_rng(X0))),empty_set) ),
inference(resolution,[],[f16826,f147]) ).
fof(f16863,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_composition(X0,X1))),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16826,f188]) ).
fof(f16862,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_composition(X0,X1))),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16826,f190]) ).
fof(f16861,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_dom(X0))),empty_set) ),
inference(resolution,[],[f16826,f149]) ).
fof(f16826,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(X0)),empty_set) ),
inference(resolution,[],[f16787,f149]) ).
fof(f16852,plain,
! [X0,X1] :
( sK11(sK6(powerset(X1))) = relation_composition(X0,function_inverse(sK5))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16818,f4602]) ).
fof(f16851,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK11(powerset(X1)) = relation_composition(X0,function_inverse(sK5)) ),
inference(resolution,[],[f16818,f646]) ).
fof(f16848,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,function_inverse(sK5))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f16818,f188]) ).
fof(f16847,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,function_inverse(sK5))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f16818,f190]) ).
fof(f16818,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,function_inverse(sK5)) = X1
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f16807,f133]) ).
fof(f16807,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK5)) = X1
| ~ empty(X1)
| ~ function(sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4606,f132]) ).
fof(f16832,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,sK11(sK6(powerset(X0)))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f16787,f4602]) ).
fof(f16831,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK11(powerset(X0))),empty_set) ),
inference(resolution,[],[f16787,f646]) ).
fof(f16828,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_composition(X0,X1)),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16787,f188]) ).
fof(f16827,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_composition(X0,X1)),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16787,f190]) ).
fof(f16787,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,X0),empty_set) ),
inference(resolution,[],[f16384,f136]) ).
fof(f16822,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK19)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f16812,f212]) ).
fof(f16812,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK19)) = X1
| ~ empty(X1)
| ~ function(sK19)
| ~ empty(X0) ),
inference(resolution,[],[f4606,f211]) ).
fof(f16821,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK18)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f16811,f210]) ).
fof(f16811,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK18)) = X1
| ~ empty(X1)
| ~ function(sK18)
| ~ empty(X0) ),
inference(resolution,[],[f4606,f209]) ).
fof(f16810,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK17)) = X1
| ~ empty(X1)
| ~ function(sK17)
| ~ empty(X0) ),
inference(resolution,[],[f4606,f208]) ).
fof(f16808,plain,
! [X0,X1] :
( relation_composition(X0,function_inverse(sK15)) = X1
| ~ empty(X1)
| ~ function(sK15)
| ~ empty(X0) ),
inference(resolution,[],[f4606,f205]) ).
fof(f16806,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,[],[f4606,f148]) ).
fof(f16804,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,[],[f4606,f189]) ).
fof(f16803,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,[],[f4606,f191]) ).
fof(f16802,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,[],[f4606,f196]) ).
fof(f16815,plain,
! [X2,X0,X1] :
( relation_composition(X0,function_inverse(function_inverse(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(subsumption_resolution,[],[f16801,f154]) ).
fof(f16801,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,[],[f4606,f153]) ).
fof(f16800,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,[],[f4606,f150]) ).
fof(f16814,plain,
! [X2,X0,X1] :
( relation_composition(X0,function_inverse(X1)) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(subsumption_resolution,[],[f16799,f144]) ).
fof(f16799,plain,
! [X2,X0,X1] :
( relation_composition(X0,function_inverse(X1)) = X2
| ~ empty(X2)
| ~ function(X1)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4606,f145]) ).
fof(f4606,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| relation_composition(X0,function_inverse(X1)) = X2
| ~ empty(X2)
| ~ function(X1)
| ~ empty(X0) ),
inference(resolution,[],[f377,f153]) ).
fof(f16798,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,X0),empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16794,f228]) ).
fof(f16794,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,X0),sK20)
| ~ empty(X0) ),
inference(resolution,[],[f16384,f215]) ).
fof(f16797,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,X0),empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16793,f227]) ).
fof(f16793,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,X0),sK16)
| ~ empty(X0) ),
inference(resolution,[],[f16384,f206]) ).
fof(f16796,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,X0),empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16792,f226]) ).
fof(f16792,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,X0),sK14)
| ~ empty(X0) ),
inference(resolution,[],[f16384,f203]) ).
fof(f16795,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,X0),empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16791,f225]) ).
fof(f16791,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,X0),sK12(X1))
| ~ empty(X0) ),
inference(resolution,[],[f16384,f183]) ).
fof(f16790,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,X0),sK11(sK6(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16384,f4602]) ).
fof(f16789,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,X0),sK11(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16384,f646]) ).
fof(f16788,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,X0),relation_rng(X1)) ),
inference(resolution,[],[f16384,f147]) ).
fof(f16786,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,X0),relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f16384,f188]) ).
fof(f16785,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,X0),relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f16384,f190]) ).
fof(f16784,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,X0),relation_dom(X1)) ),
inference(resolution,[],[f16384,f149]) ).
fof(f16384,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_composition(sK5,X0),X1)
| ~ empty(X0) ),
inference(resolution,[],[f3766,f132]) ).
fof(f16770,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,sK5),relation_rng(sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f16562,f4602]) ).
fof(f16769,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,sK5),relation_rng(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16562,f646]) ).
fof(f16768,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,sK5),relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f16562,f147]) ).
fof(f16766,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16562,f188]) ).
fof(f16765,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16562,f190]) ).
fof(f16764,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,sK5),relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f16562,f149]) ).
fof(f16562,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,sK5),relation_rng(X0)) ),
inference(resolution,[],[f16446,f147]) ).
fof(f16750,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,sK5),relation_dom(sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f16558,f4602]) ).
fof(f16749,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,sK5),relation_dom(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16558,f646]) ).
fof(f16748,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,sK5),relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f16558,f147]) ).
fof(f16746,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16558,f188]) ).
fof(f16745,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16558,f190]) ).
fof(f16744,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,sK5),relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f16558,f149]) ).
fof(f16558,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,sK5),relation_dom(X0)) ),
inference(resolution,[],[f16446,f149]) ).
fof(f16730,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,sK5),relation_rng(sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f16537,f4602]) ).
fof(f16729,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,sK5),relation_rng(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16537,f646]) ).
fof(f16728,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,sK5),relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f16537,f147]) ).
fof(f16726,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16537,f188]) ).
fof(f16725,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16537,f190]) ).
fof(f16724,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,sK5),relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f16537,f149]) ).
fof(f16537,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,sK5),relation_rng(X0)) ),
inference(resolution,[],[f16445,f147]) ).
fof(f16710,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,sK5),relation_dom(sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f16533,f4602]) ).
fof(f16709,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,sK5),relation_dom(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16533,f646]) ).
fof(f16708,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,sK5),relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f16533,f147]) ).
fof(f16706,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16533,f188]) ).
fof(f16705,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16533,f190]) ).
fof(f16704,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,sK5),relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f16533,f149]) ).
fof(f16533,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,sK5),relation_dom(X0)) ),
inference(resolution,[],[f16445,f149]) ).
fof(f16690,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,sK5),relation_rng(sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f16516,f4602]) ).
fof(f16689,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,sK5),relation_rng(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16516,f646]) ).
fof(f16688,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,sK5),relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f16516,f147]) ).
fof(f16686,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16516,f188]) ).
fof(f16685,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16516,f190]) ).
fof(f16684,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,sK5),relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f16516,f149]) ).
fof(f16516,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,sK5),relation_rng(X0)) ),
inference(resolution,[],[f16444,f147]) ).
fof(f16670,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,sK5),relation_dom(sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f16512,f4602]) ).
fof(f16669,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,sK5),relation_dom(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16512,f646]) ).
fof(f16668,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,sK5),relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f16512,f147]) ).
fof(f16666,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16512,f188]) ).
fof(f16665,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16512,f190]) ).
fof(f16664,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,sK5),relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f16512,f149]) ).
fof(f16512,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,sK5),relation_dom(X0)) ),
inference(resolution,[],[f16444,f149]) ).
fof(f16650,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,sK5),relation_rng(sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f16478,f4602]) ).
fof(f16649,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,sK5),relation_rng(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16478,f646]) ).
fof(f16648,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,sK5),relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f16478,f147]) ).
fof(f16646,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16478,f188]) ).
fof(f16645,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16478,f190]) ).
fof(f16644,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,sK5),relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f16478,f149]) ).
fof(f16478,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,sK5),relation_rng(X0)) ),
inference(resolution,[],[f16442,f147]) ).
fof(f16630,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,sK5),relation_dom(sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f16474,f4602]) ).
fof(f16629,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,sK5),relation_dom(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16474,f646]) ).
fof(f16628,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,sK5),relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f16474,f147]) ).
fof(f16626,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16474,f188]) ).
fof(f16625,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16474,f190]) ).
fof(f16624,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,sK5),relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f16474,f149]) ).
fof(f16474,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,sK5),relation_dom(X0)) ),
inference(resolution,[],[f16442,f149]) ).
fof(f16610,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,sK5),relation_rng(sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f16457,f4602]) ).
fof(f16609,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,sK5),relation_rng(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16457,f646]) ).
fof(f16608,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK5),relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f16457,f147]) ).
fof(f16606,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16457,f188]) ).
fof(f16605,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16457,f190]) ).
fof(f16604,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK5),relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f16457,f149]) ).
fof(f16457,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK5),relation_rng(X0)) ),
inference(resolution,[],[f16441,f147]) ).
fof(f16590,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,sK5),relation_dom(sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f16453,f4602]) ).
fof(f16589,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,sK5),relation_dom(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16453,f646]) ).
fof(f16588,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK5),relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f16453,f147]) ).
fof(f16586,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16453,f188]) ).
fof(f16585,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16453,f190]) ).
fof(f16584,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK5),relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f16453,f149]) ).
fof(f16453,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK5),relation_dom(X0)) ),
inference(resolution,[],[f16441,f149]) ).
fof(f16579,plain,
! [X0] :
( in(apply(X0,sK11(relation_dom(X0))),relation_rng(X0))
| empty(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0) ),
inference(resolution,[],[f1641,f1487]) ).
fof(f1641,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| in(apply(X0,sK11(relation_dom(X0))),relation_rng(X0))
| empty(relation_dom(X0)) ),
inference(resolution,[],[f219,f363]) ).
fof(f16561,plain,
empty_set = relation_composition(relation_composition(sK19,sK5),empty_set),
inference(resolution,[],[f16446,f136]) ).
fof(f16572,plain,
empty_set = relation_composition(relation_composition(sK19,sK5),empty_set),
inference(forward_demodulation,[],[f16568,f228]) ).
fof(f16568,plain,
empty_set = relation_composition(relation_composition(sK19,sK5),sK20),
inference(resolution,[],[f16446,f215]) ).
fof(f16571,plain,
empty_set = relation_composition(relation_composition(sK19,sK5),empty_set),
inference(forward_demodulation,[],[f16567,f227]) ).
fof(f16567,plain,
empty_set = relation_composition(relation_composition(sK19,sK5),sK16),
inference(resolution,[],[f16446,f206]) ).
fof(f16570,plain,
empty_set = relation_composition(relation_composition(sK19,sK5),empty_set),
inference(forward_demodulation,[],[f16566,f226]) ).
fof(f16566,plain,
empty_set = relation_composition(relation_composition(sK19,sK5),sK14),
inference(resolution,[],[f16446,f203]) ).
fof(f16569,plain,
empty_set = relation_composition(relation_composition(sK19,sK5),empty_set),
inference(forward_demodulation,[],[f16565,f225]) ).
fof(f16565,plain,
! [X0] : empty_set = relation_composition(relation_composition(sK19,sK5),sK12(X0)),
inference(resolution,[],[f16446,f183]) ).
fof(f16564,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,sK5),sK11(sK6(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16446,f4602]) ).
fof(f16563,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,sK5),sK11(powerset(X0))) ),
inference(resolution,[],[f16446,f646]) ).
fof(f16560,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,sK5),relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16446,f188]) ).
fof(f16559,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,sK5),relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16446,f190]) ).
fof(f16446,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,sK5),X0) ),
inference(resolution,[],[f16167,f211]) ).
fof(f16536,plain,
empty_set = relation_composition(relation_composition(sK18,sK5),empty_set),
inference(resolution,[],[f16445,f136]) ).
fof(f16550,plain,
! [X0,X1] :
( ~ in(relation_rng(sK19),apply(X0,X1))
| ~ sP1(X0,function_inverse(sK19))
| ~ in(X1,relation_rng(function_inverse(sK19))) ),
inference(superposition,[],[f5256,f15606]) ).
fof(f16549,plain,
! [X0,X1] :
( ~ in(relation_rng(sK5),apply(X0,X1))
| ~ sP1(X0,function_inverse(sK5))
| ~ in(X1,relation_rng(function_inverse(sK5))) ),
inference(superposition,[],[f5256,f15604]) ).
fof(f5256,plain,
! [X2,X0,X1] :
( ~ in(relation_dom(X1),apply(X2,X0))
| ~ sP1(X2,X1)
| ~ in(X0,relation_rng(X1)) ),
inference(resolution,[],[f1729,f185]) ).
fof(f16547,plain,
empty_set = relation_composition(relation_composition(sK18,sK5),empty_set),
inference(forward_demodulation,[],[f16543,f228]) ).
fof(f16543,plain,
empty_set = relation_composition(relation_composition(sK18,sK5),sK20),
inference(resolution,[],[f16445,f215]) ).
fof(f16546,plain,
empty_set = relation_composition(relation_composition(sK18,sK5),empty_set),
inference(forward_demodulation,[],[f16542,f227]) ).
fof(f16542,plain,
empty_set = relation_composition(relation_composition(sK18,sK5),sK16),
inference(resolution,[],[f16445,f206]) ).
fof(f16545,plain,
empty_set = relation_composition(relation_composition(sK18,sK5),empty_set),
inference(forward_demodulation,[],[f16541,f226]) ).
fof(f16541,plain,
empty_set = relation_composition(relation_composition(sK18,sK5),sK14),
inference(resolution,[],[f16445,f203]) ).
fof(f16544,plain,
empty_set = relation_composition(relation_composition(sK18,sK5),empty_set),
inference(forward_demodulation,[],[f16540,f225]) ).
fof(f16540,plain,
! [X0] : empty_set = relation_composition(relation_composition(sK18,sK5),sK12(X0)),
inference(resolution,[],[f16445,f183]) ).
fof(f16539,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,sK5),sK11(sK6(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16445,f4602]) ).
fof(f16538,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,sK5),sK11(powerset(X0))) ),
inference(resolution,[],[f16445,f646]) ).
fof(f16535,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,sK5),relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16445,f188]) ).
fof(f16534,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,sK5),relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16445,f190]) ).
fof(f16445,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,sK5),X0) ),
inference(resolution,[],[f16167,f209]) ).
fof(f16515,plain,
empty_set = relation_composition(relation_composition(sK17,sK5),empty_set),
inference(resolution,[],[f16444,f136]) ).
fof(f16526,plain,
empty_set = relation_composition(relation_composition(sK17,sK5),empty_set),
inference(forward_demodulation,[],[f16522,f228]) ).
fof(f16522,plain,
empty_set = relation_composition(relation_composition(sK17,sK5),sK20),
inference(resolution,[],[f16444,f215]) ).
fof(f16525,plain,
empty_set = relation_composition(relation_composition(sK17,sK5),empty_set),
inference(forward_demodulation,[],[f16521,f227]) ).
fof(f16521,plain,
empty_set = relation_composition(relation_composition(sK17,sK5),sK16),
inference(resolution,[],[f16444,f206]) ).
fof(f16524,plain,
empty_set = relation_composition(relation_composition(sK17,sK5),empty_set),
inference(forward_demodulation,[],[f16520,f226]) ).
fof(f16520,plain,
empty_set = relation_composition(relation_composition(sK17,sK5),sK14),
inference(resolution,[],[f16444,f203]) ).
fof(f16523,plain,
empty_set = relation_composition(relation_composition(sK17,sK5),empty_set),
inference(forward_demodulation,[],[f16519,f225]) ).
fof(f16519,plain,
! [X0] : empty_set = relation_composition(relation_composition(sK17,sK5),sK12(X0)),
inference(resolution,[],[f16444,f183]) ).
fof(f16518,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,sK5),sK11(sK6(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16444,f4602]) ).
fof(f16517,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,sK5),sK11(powerset(X0))) ),
inference(resolution,[],[f16444,f646]) ).
fof(f16514,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,sK5),relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16444,f188]) ).
fof(f16513,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,sK5),relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16444,f190]) ).
fof(f16444,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,sK5),X0) ),
inference(resolution,[],[f16167,f208]) ).
fof(f16511,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16509,f228]) ).
fof(f16509,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK20),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3767,f214]) ).
fof(f16508,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK19),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3767,f211]) ).
fof(f16507,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK18),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3767,f209]) ).
fof(f16506,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK17),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3767,f208]) ).
fof(f16510,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16505,f227]) ).
fof(f16505,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK16),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3767,f207]) ).
fof(f16504,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK15),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3767,f205]) ).
fof(f16502,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_rng(X1)),X2)
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3767,f148]) ).
fof(f16501,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3767,f138]) ).
fof(f16500,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,[],[f3767,f189]) ).
fof(f16499,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,[],[f3767,f191]) ).
fof(f16498,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,[],[f3767,f196]) ).
fof(f16497,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,[],[f3767,f153]) ).
fof(f16496,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_dom(X1)),X2)
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3767,f150]) ).
fof(f16495,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),X2)
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3767,f145]) ).
fof(f3767,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| empty_set = relation_composition(relation_composition(X1,X2),X0)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f384,f189]) ).
fof(f16477,plain,
empty_set = relation_composition(relation_composition(sK15,sK5),empty_set),
inference(resolution,[],[f16442,f136]) ).
fof(f16488,plain,
empty_set = relation_composition(relation_composition(sK15,sK5),empty_set),
inference(forward_demodulation,[],[f16484,f228]) ).
fof(f16484,plain,
empty_set = relation_composition(relation_composition(sK15,sK5),sK20),
inference(resolution,[],[f16442,f215]) ).
fof(f16487,plain,
empty_set = relation_composition(relation_composition(sK15,sK5),empty_set),
inference(forward_demodulation,[],[f16483,f227]) ).
fof(f16483,plain,
empty_set = relation_composition(relation_composition(sK15,sK5),sK16),
inference(resolution,[],[f16442,f206]) ).
fof(f16486,plain,
empty_set = relation_composition(relation_composition(sK15,sK5),empty_set),
inference(forward_demodulation,[],[f16482,f226]) ).
fof(f16482,plain,
empty_set = relation_composition(relation_composition(sK15,sK5),sK14),
inference(resolution,[],[f16442,f203]) ).
fof(f16485,plain,
empty_set = relation_composition(relation_composition(sK15,sK5),empty_set),
inference(forward_demodulation,[],[f16481,f225]) ).
fof(f16481,plain,
! [X0] : empty_set = relation_composition(relation_composition(sK15,sK5),sK12(X0)),
inference(resolution,[],[f16442,f183]) ).
fof(f16480,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,sK5),sK11(sK6(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16442,f4602]) ).
fof(f16479,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,sK5),sK11(powerset(X0))) ),
inference(resolution,[],[f16442,f646]) ).
fof(f16476,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,sK5),relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16442,f188]) ).
fof(f16475,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,sK5),relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16442,f190]) ).
fof(f16442,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,sK5),X0) ),
inference(resolution,[],[f16167,f205]) ).
fof(f16456,plain,
empty_set = relation_composition(relation_composition(sK5,sK5),empty_set),
inference(resolution,[],[f16441,f136]) ).
fof(f16467,plain,
empty_set = relation_composition(relation_composition(sK5,sK5),empty_set),
inference(forward_demodulation,[],[f16463,f228]) ).
fof(f16463,plain,
empty_set = relation_composition(relation_composition(sK5,sK5),sK20),
inference(resolution,[],[f16441,f215]) ).
fof(f16466,plain,
empty_set = relation_composition(relation_composition(sK5,sK5),empty_set),
inference(forward_demodulation,[],[f16462,f227]) ).
fof(f16462,plain,
empty_set = relation_composition(relation_composition(sK5,sK5),sK16),
inference(resolution,[],[f16441,f206]) ).
fof(f16465,plain,
empty_set = relation_composition(relation_composition(sK5,sK5),empty_set),
inference(forward_demodulation,[],[f16461,f226]) ).
fof(f16461,plain,
empty_set = relation_composition(relation_composition(sK5,sK5),sK14),
inference(resolution,[],[f16441,f203]) ).
fof(f16464,plain,
empty_set = relation_composition(relation_composition(sK5,sK5),empty_set),
inference(forward_demodulation,[],[f16460,f225]) ).
fof(f16460,plain,
! [X0] : empty_set = relation_composition(relation_composition(sK5,sK5),sK12(X0)),
inference(resolution,[],[f16441,f183]) ).
fof(f16459,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,sK5),sK11(sK6(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f16441,f4602]) ).
fof(f16458,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK5),sK11(powerset(X0))) ),
inference(resolution,[],[f16441,f646]) ).
fof(f16455,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,sK5),relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16441,f188]) ).
fof(f16454,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,sK5),relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16441,f190]) ).
fof(f16441,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK5),X0) ),
inference(resolution,[],[f16167,f132]) ).
fof(f16440,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_composition(relation_rng(X1),sK5),X0)
| ~ empty(X0) ),
inference(resolution,[],[f16167,f148]) ).
fof(f16438,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_composition(X1,X2),sK5),X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f16167,f189]) ).
fof(f16437,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_composition(X1,X2),sK5),X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f16167,f191]) ).
fof(f16436,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_composition(X1,X2),sK5),X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f16167,f196]) ).
fof(f16435,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(function_inverse(X1),sK5),X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f16167,f153]) ).
fof(f16434,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_composition(relation_dom(X1),sK5),X0)
| ~ empty(X0) ),
inference(resolution,[],[f16167,f150]) ).
fof(f16433,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X1,sK5),X0)
| ~ empty(X1) ),
inference(resolution,[],[f16167,f145]) ).
fof(f16167,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_composition(relation_composition(X0,sK5),X1) ),
inference(resolution,[],[f3765,f132]) ).
fof(f16419,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK11(sK6(powerset(X1))),sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16108,f4602]) ).
fof(f16418,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK11(powerset(X1)),sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16108,f646]) ).
fof(f16417,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(relation_rng(X1),sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16108,f147]) ).
fof(f16415,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(relation_composition(X1,X2),sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f16108,f188]) ).
fof(f16414,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(relation_composition(X1,X2),sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f16108,f190]) ).
fof(f16413,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(relation_dom(X1),sK5))
| ~ empty(X1) ),
inference(resolution,[],[f16108,f149]) ).
fof(f16108,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(X1,sK5)) ),
inference(resolution,[],[f766,f132]) ).
fof(f16399,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK5,sK11(sK6(powerset(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f16064,f4602]) ).
fof(f16398,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK5,sK11(powerset(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f16064,f646]) ).
fof(f16397,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(X0,relation_composition(sK5,relation_rng(X1)))
| ~ empty(X0) ),
inference(resolution,[],[f16064,f147]) ).
fof(f16395,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK5,relation_composition(X1,X2)))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f16064,f188]) ).
fof(f16394,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK5,relation_composition(X1,X2)))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f16064,f190]) ).
fof(f16393,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(X0,relation_composition(sK5,relation_dom(X1)))
| ~ empty(X0) ),
inference(resolution,[],[f16064,f149]) ).
fof(f16064,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK5,X1)) ),
inference(resolution,[],[f765,f132]) ).
fof(f16392,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16390,f228]) ).
fof(f16390,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK20,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3766,f214]) ).
fof(f16389,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3766,f211]) ).
fof(f16388,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3766,f209]) ).
fof(f16387,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3766,f208]) ).
fof(f16391,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f16386,f227]) ).
fof(f16386,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK16,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3766,f207]) ).
fof(f16385,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3766,f205]) ).
fof(f16383,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(X0),X1),X2)
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3766,f148]) ).
fof(f16382,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3766,f138]) ).
fof(f16381,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,[],[f3766,f189]) ).
fof(f16380,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,[],[f3766,f191]) ).
fof(f16379,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,[],[f3766,f196]) ).
fof(f16378,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,[],[f3766,f153]) ).
fof(f16377,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(X0),X1),X2)
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3766,f150]) ).
fof(f16376,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),X2)
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3766,f145]) ).
fof(f3766,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(relation_composition(X1,X2),X0)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f384,f191]) ).
fof(f16362,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),relation_composition(sK19,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16142,f4602]) ).
fof(f16361,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(X0))),relation_composition(sK19,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16142,f646]) ).
fof(f16360,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),relation_composition(sK19,sK5)) ),
inference(resolution,[],[f16142,f147]) ).
fof(f16358,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),relation_composition(sK19,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16142,f188]) ).
fof(f16357,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),relation_composition(sK19,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16142,f190]) ).
fof(f16356,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),relation_composition(sK19,sK5)) ),
inference(resolution,[],[f16142,f149]) ).
fof(f16142,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),relation_composition(sK19,sK5)) ),
inference(resolution,[],[f16013,f147]) ).
fof(f16342,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),relation_composition(sK19,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16138,f4602]) ).
fof(f16341,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(X0))),relation_composition(sK19,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16138,f646]) ).
fof(f16340,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),relation_composition(sK19,sK5)) ),
inference(resolution,[],[f16138,f147]) ).
fof(f16338,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),relation_composition(sK19,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16138,f188]) ).
fof(f16337,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),relation_composition(sK19,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16138,f190]) ).
fof(f16336,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),relation_composition(sK19,sK5)) ),
inference(resolution,[],[f16138,f149]) ).
fof(f16138,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),relation_composition(sK19,sK5)) ),
inference(resolution,[],[f16013,f149]) ).
fof(f16322,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),relation_composition(sK18,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16121,f4602]) ).
fof(f16321,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(X0))),relation_composition(sK18,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16121,f646]) ).
fof(f16320,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),relation_composition(sK18,sK5)) ),
inference(resolution,[],[f16121,f147]) ).
fof(f16318,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),relation_composition(sK18,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16121,f188]) ).
fof(f16317,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),relation_composition(sK18,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16121,f190]) ).
fof(f16316,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),relation_composition(sK18,sK5)) ),
inference(resolution,[],[f16121,f149]) ).
fof(f16121,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),relation_composition(sK18,sK5)) ),
inference(resolution,[],[f16012,f147]) ).
fof(f16302,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),relation_composition(sK18,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16117,f4602]) ).
fof(f16301,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(X0))),relation_composition(sK18,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16117,f646]) ).
fof(f16300,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),relation_composition(sK18,sK5)) ),
inference(resolution,[],[f16117,f147]) ).
fof(f16298,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),relation_composition(sK18,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16117,f188]) ).
fof(f16297,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),relation_composition(sK18,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16117,f190]) ).
fof(f16296,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),relation_composition(sK18,sK5)) ),
inference(resolution,[],[f16117,f149]) ).
fof(f16117,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),relation_composition(sK18,sK5)) ),
inference(resolution,[],[f16012,f149]) ).
fof(f16282,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),relation_composition(sK17,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16083,f4602]) ).
fof(f16281,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(X0))),relation_composition(sK17,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16083,f646]) ).
fof(f16280,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),relation_composition(sK17,sK5)) ),
inference(resolution,[],[f16083,f147]) ).
fof(f16278,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),relation_composition(sK17,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16083,f188]) ).
fof(f16277,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),relation_composition(sK17,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16083,f190]) ).
fof(f16276,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),relation_composition(sK17,sK5)) ),
inference(resolution,[],[f16083,f149]) ).
fof(f16083,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),relation_composition(sK17,sK5)) ),
inference(resolution,[],[f16011,f147]) ).
fof(f16262,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),relation_composition(sK17,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16079,f4602]) ).
fof(f16261,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(X0))),relation_composition(sK17,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16079,f646]) ).
fof(f16260,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),relation_composition(sK17,sK5)) ),
inference(resolution,[],[f16079,f147]) ).
fof(f16258,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),relation_composition(sK17,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16079,f188]) ).
fof(f16257,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),relation_composition(sK17,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16079,f190]) ).
fof(f16256,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),relation_composition(sK17,sK5)) ),
inference(resolution,[],[f16079,f149]) ).
fof(f16079,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),relation_composition(sK17,sK5)) ),
inference(resolution,[],[f16011,f149]) ).
fof(f16242,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),relation_composition(sK15,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16045,f4602]) ).
fof(f16241,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(X0))),relation_composition(sK15,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16045,f646]) ).
fof(f16240,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),relation_composition(sK15,sK5)) ),
inference(resolution,[],[f16045,f147]) ).
fof(f16238,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),relation_composition(sK15,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16045,f188]) ).
fof(f16237,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),relation_composition(sK15,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16045,f190]) ).
fof(f16236,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),relation_composition(sK15,sK5)) ),
inference(resolution,[],[f16045,f149]) ).
fof(f16045,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),relation_composition(sK15,sK5)) ),
inference(resolution,[],[f16009,f147]) ).
fof(f16222,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),relation_composition(sK15,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16041,f4602]) ).
fof(f16221,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(X0))),relation_composition(sK15,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16041,f646]) ).
fof(f16220,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),relation_composition(sK15,sK5)) ),
inference(resolution,[],[f16041,f147]) ).
fof(f16218,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),relation_composition(sK15,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16041,f188]) ).
fof(f16217,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),relation_composition(sK15,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16041,f190]) ).
fof(f16216,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),relation_composition(sK15,sK5)) ),
inference(resolution,[],[f16041,f149]) ).
fof(f16041,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),relation_composition(sK15,sK5)) ),
inference(resolution,[],[f16009,f149]) ).
fof(f16202,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),relation_composition(sK5,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16024,f4602]) ).
fof(f16201,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(X0))),relation_composition(sK5,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16024,f646]) ).
fof(f16200,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),relation_composition(sK5,sK5)) ),
inference(resolution,[],[f16024,f147]) ).
fof(f16198,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),relation_composition(sK5,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16024,f188]) ).
fof(f16197,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),relation_composition(sK5,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16024,f190]) ).
fof(f16196,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),relation_composition(sK5,sK5)) ),
inference(resolution,[],[f16024,f149]) ).
fof(f16024,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),relation_composition(sK5,sK5)) ),
inference(resolution,[],[f16008,f147]) ).
fof(f16182,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),relation_composition(sK5,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16020,f4602]) ).
fof(f16181,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(X0))),relation_composition(sK5,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16020,f646]) ).
fof(f16180,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),relation_composition(sK5,sK5)) ),
inference(resolution,[],[f16020,f147]) ).
fof(f16178,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),relation_composition(sK5,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16020,f188]) ).
fof(f16177,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),relation_composition(sK5,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16020,f190]) ).
fof(f16176,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),relation_composition(sK5,sK5)) ),
inference(resolution,[],[f16020,f149]) ).
fof(f16020,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),relation_composition(sK5,sK5)) ),
inference(resolution,[],[f16008,f149]) ).
fof(f16175,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f16173,f228]) ).
fof(f16173,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK20),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f3765,f214]) ).
fof(f16172,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK19),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f3765,f211]) ).
fof(f16171,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK18),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f3765,f209]) ).
fof(f16170,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK17),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f3765,f208]) ).
fof(f16174,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f16169,f227]) ).
fof(f16169,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK16),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f3765,f207]) ).
fof(f16168,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK15),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f3765,f205]) ).
fof(f16166,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_rng(X1)),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3765,f148]) ).
fof(f16165,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,empty_set),X1)
| ~ empty(X1)
| ~ relation(X0) ),
inference(resolution,[],[f3765,f138]) ).
fof(f16164,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,[],[f3765,f189]) ).
fof(f16163,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,[],[f3765,f191]) ).
fof(f16162,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,[],[f3765,f196]) ).
fof(f16161,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,[],[f3765,f153]) ).
fof(f16160,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_dom(X1)),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3765,f150]) ).
fof(f16159,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3765,f145]) ).
fof(f3765,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| empty_set = relation_composition(relation_composition(X1,X2),X0)
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f384,f196]) ).
fof(f16141,plain,
empty_set = relation_composition(empty_set,relation_composition(sK19,sK5)),
inference(resolution,[],[f16013,f136]) ).
fof(f16152,plain,
empty_set = relation_composition(empty_set,relation_composition(sK19,sK5)),
inference(forward_demodulation,[],[f16148,f228]) ).
fof(f16148,plain,
empty_set = relation_composition(sK20,relation_composition(sK19,sK5)),
inference(resolution,[],[f16013,f215]) ).
fof(f16151,plain,
empty_set = relation_composition(empty_set,relation_composition(sK19,sK5)),
inference(forward_demodulation,[],[f16147,f227]) ).
fof(f16147,plain,
empty_set = relation_composition(sK16,relation_composition(sK19,sK5)),
inference(resolution,[],[f16013,f206]) ).
fof(f16150,plain,
empty_set = relation_composition(empty_set,relation_composition(sK19,sK5)),
inference(forward_demodulation,[],[f16146,f226]) ).
fof(f16146,plain,
empty_set = relation_composition(sK14,relation_composition(sK19,sK5)),
inference(resolution,[],[f16013,f203]) ).
fof(f16149,plain,
empty_set = relation_composition(empty_set,relation_composition(sK19,sK5)),
inference(forward_demodulation,[],[f16145,f225]) ).
fof(f16145,plain,
! [X0] : empty_set = relation_composition(sK12(X0),relation_composition(sK19,sK5)),
inference(resolution,[],[f16013,f183]) ).
fof(f16144,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(X0))),relation_composition(sK19,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16013,f4602]) ).
fof(f16143,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),relation_composition(sK19,sK5)) ),
inference(resolution,[],[f16013,f646]) ).
fof(f16140,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),relation_composition(sK19,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16013,f188]) ).
fof(f16139,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),relation_composition(sK19,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16013,f190]) ).
fof(f16013,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK19,sK5)) ),
inference(resolution,[],[f15982,f211]) ).
fof(f16120,plain,
empty_set = relation_composition(empty_set,relation_composition(sK18,sK5)),
inference(resolution,[],[f16012,f136]) ).
fof(f16131,plain,
empty_set = relation_composition(empty_set,relation_composition(sK18,sK5)),
inference(forward_demodulation,[],[f16127,f228]) ).
fof(f16127,plain,
empty_set = relation_composition(sK20,relation_composition(sK18,sK5)),
inference(resolution,[],[f16012,f215]) ).
fof(f16130,plain,
empty_set = relation_composition(empty_set,relation_composition(sK18,sK5)),
inference(forward_demodulation,[],[f16126,f227]) ).
fof(f16126,plain,
empty_set = relation_composition(sK16,relation_composition(sK18,sK5)),
inference(resolution,[],[f16012,f206]) ).
fof(f16129,plain,
empty_set = relation_composition(empty_set,relation_composition(sK18,sK5)),
inference(forward_demodulation,[],[f16125,f226]) ).
fof(f16125,plain,
empty_set = relation_composition(sK14,relation_composition(sK18,sK5)),
inference(resolution,[],[f16012,f203]) ).
fof(f16128,plain,
empty_set = relation_composition(empty_set,relation_composition(sK18,sK5)),
inference(forward_demodulation,[],[f16124,f225]) ).
fof(f16124,plain,
! [X0] : empty_set = relation_composition(sK12(X0),relation_composition(sK18,sK5)),
inference(resolution,[],[f16012,f183]) ).
fof(f16123,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(X0))),relation_composition(sK18,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16012,f4602]) ).
fof(f16122,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),relation_composition(sK18,sK5)) ),
inference(resolution,[],[f16012,f646]) ).
fof(f16119,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),relation_composition(sK18,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16012,f188]) ).
fof(f16118,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),relation_composition(sK18,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16012,f190]) ).
fof(f16012,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK18,sK5)) ),
inference(resolution,[],[f15982,f209]) ).
fof(f16116,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f16114,f228]) ).
fof(f16114,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK20))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f766,f214]) ).
fof(f16113,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK19))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f766,f211]) ).
fof(f16112,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK18))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f766,f209]) ).
fof(f16111,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK17))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f766,f208]) ).
fof(f16115,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f16110,f227]) ).
fof(f16110,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK16))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f766,f207]) ).
fof(f16109,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK15))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f766,f205]) ).
fof(f16107,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_rng(X2)))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f766,f148]) ).
fof(f16106,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f766,f138]) ).
fof(f16105,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,[],[f766,f189]) ).
fof(f16104,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,[],[f766,f191]) ).
fof(f16103,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,[],[f766,f196]) ).
fof(f16102,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,[],[f766,f153]) ).
fof(f16101,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_dom(X2)))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f766,f150]) ).
fof(f16100,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f766,f145]) ).
fof(f766,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f376,f189]) ).
fof(f16082,plain,
empty_set = relation_composition(empty_set,relation_composition(sK17,sK5)),
inference(resolution,[],[f16011,f136]) ).
fof(f16093,plain,
empty_set = relation_composition(empty_set,relation_composition(sK17,sK5)),
inference(forward_demodulation,[],[f16089,f228]) ).
fof(f16089,plain,
empty_set = relation_composition(sK20,relation_composition(sK17,sK5)),
inference(resolution,[],[f16011,f215]) ).
fof(f16092,plain,
empty_set = relation_composition(empty_set,relation_composition(sK17,sK5)),
inference(forward_demodulation,[],[f16088,f227]) ).
fof(f16088,plain,
empty_set = relation_composition(sK16,relation_composition(sK17,sK5)),
inference(resolution,[],[f16011,f206]) ).
fof(f16091,plain,
empty_set = relation_composition(empty_set,relation_composition(sK17,sK5)),
inference(forward_demodulation,[],[f16087,f226]) ).
fof(f16087,plain,
empty_set = relation_composition(sK14,relation_composition(sK17,sK5)),
inference(resolution,[],[f16011,f203]) ).
fof(f16090,plain,
empty_set = relation_composition(empty_set,relation_composition(sK17,sK5)),
inference(forward_demodulation,[],[f16086,f225]) ).
fof(f16086,plain,
! [X0] : empty_set = relation_composition(sK12(X0),relation_composition(sK17,sK5)),
inference(resolution,[],[f16011,f183]) ).
fof(f16085,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(X0))),relation_composition(sK17,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16011,f4602]) ).
fof(f16084,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),relation_composition(sK17,sK5)) ),
inference(resolution,[],[f16011,f646]) ).
fof(f16081,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),relation_composition(sK17,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16011,f188]) ).
fof(f16080,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),relation_composition(sK17,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16011,f190]) ).
fof(f16011,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK17,sK5)) ),
inference(resolution,[],[f15982,f208]) ).
fof(f16044,plain,
empty_set = relation_composition(empty_set,relation_composition(sK15,sK5)),
inference(resolution,[],[f16009,f136]) ).
fof(f16072,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(empty_set,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f16070,f228]) ).
fof(f16070,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK20,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f765,f214]) ).
fof(f16069,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK19,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f765,f211]) ).
fof(f16068,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK18,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f765,f209]) ).
fof(f16067,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK17,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f765,f208]) ).
fof(f16071,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(empty_set,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f16066,f227]) ).
fof(f16066,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK16,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f765,f207]) ).
fof(f16065,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(sK15,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f765,f205]) ).
fof(f16063,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(relation_rng(X1),X2))
| ~ empty(X0)
| ~ empty(X2)
| ~ empty(X1) ),
inference(resolution,[],[f765,f148]) ).
fof(f16062,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(empty_set,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f765,f138]) ).
fof(f16061,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,[],[f765,f189]) ).
fof(f16060,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,[],[f765,f191]) ).
fof(f16059,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,[],[f765,f196]) ).
fof(f16058,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,[],[f765,f153]) ).
fof(f16057,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(relation_dom(X1),X2))
| ~ empty(X0)
| ~ empty(X2)
| ~ empty(X1) ),
inference(resolution,[],[f765,f150]) ).
fof(f16056,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ empty(X2)
| ~ empty(X1) ),
inference(resolution,[],[f765,f145]) ).
fof(f765,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f376,f191]) ).
fof(f16055,plain,
empty_set = relation_composition(empty_set,relation_composition(sK15,sK5)),
inference(forward_demodulation,[],[f16051,f228]) ).
fof(f16051,plain,
empty_set = relation_composition(sK20,relation_composition(sK15,sK5)),
inference(resolution,[],[f16009,f215]) ).
fof(f16054,plain,
empty_set = relation_composition(empty_set,relation_composition(sK15,sK5)),
inference(forward_demodulation,[],[f16050,f227]) ).
fof(f16050,plain,
empty_set = relation_composition(sK16,relation_composition(sK15,sK5)),
inference(resolution,[],[f16009,f206]) ).
fof(f16053,plain,
empty_set = relation_composition(empty_set,relation_composition(sK15,sK5)),
inference(forward_demodulation,[],[f16049,f226]) ).
fof(f16049,plain,
empty_set = relation_composition(sK14,relation_composition(sK15,sK5)),
inference(resolution,[],[f16009,f203]) ).
fof(f16052,plain,
empty_set = relation_composition(empty_set,relation_composition(sK15,sK5)),
inference(forward_demodulation,[],[f16048,f225]) ).
fof(f16048,plain,
! [X0] : empty_set = relation_composition(sK12(X0),relation_composition(sK15,sK5)),
inference(resolution,[],[f16009,f183]) ).
fof(f16047,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(X0))),relation_composition(sK15,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16009,f4602]) ).
fof(f16046,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),relation_composition(sK15,sK5)) ),
inference(resolution,[],[f16009,f646]) ).
fof(f16043,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),relation_composition(sK15,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16009,f188]) ).
fof(f16042,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),relation_composition(sK15,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16009,f190]) ).
fof(f16009,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK15,sK5)) ),
inference(resolution,[],[f15982,f205]) ).
fof(f16023,plain,
empty_set = relation_composition(empty_set,relation_composition(sK5,sK5)),
inference(resolution,[],[f16008,f136]) ).
fof(f16034,plain,
empty_set = relation_composition(empty_set,relation_composition(sK5,sK5)),
inference(forward_demodulation,[],[f16030,f228]) ).
fof(f16030,plain,
empty_set = relation_composition(sK20,relation_composition(sK5,sK5)),
inference(resolution,[],[f16008,f215]) ).
fof(f16033,plain,
empty_set = relation_composition(empty_set,relation_composition(sK5,sK5)),
inference(forward_demodulation,[],[f16029,f227]) ).
fof(f16029,plain,
empty_set = relation_composition(sK16,relation_composition(sK5,sK5)),
inference(resolution,[],[f16008,f206]) ).
fof(f16032,plain,
empty_set = relation_composition(empty_set,relation_composition(sK5,sK5)),
inference(forward_demodulation,[],[f16028,f226]) ).
fof(f16028,plain,
empty_set = relation_composition(sK14,relation_composition(sK5,sK5)),
inference(resolution,[],[f16008,f203]) ).
fof(f16031,plain,
empty_set = relation_composition(empty_set,relation_composition(sK5,sK5)),
inference(forward_demodulation,[],[f16027,f225]) ).
fof(f16027,plain,
! [X0] : empty_set = relation_composition(sK12(X0),relation_composition(sK5,sK5)),
inference(resolution,[],[f16008,f183]) ).
fof(f16026,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(X0))),relation_composition(sK5,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f16008,f4602]) ).
fof(f16025,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),relation_composition(sK5,sK5)) ),
inference(resolution,[],[f16008,f646]) ).
fof(f16022,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),relation_composition(sK5,sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f16008,f188]) ).
fof(f16021,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),relation_composition(sK5,sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f16008,f190]) ).
fof(f16008,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(sK5,sK5)) ),
inference(resolution,[],[f15982,f132]) ).
fof(f16007,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(X0,relation_composition(relation_rng(X1),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15982,f148]) ).
fof(f16005,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(relation_composition(X1,X2),sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f15982,f189]) ).
fof(f16004,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(relation_composition(X1,X2),sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f15982,f191]) ).
fof(f16003,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(relation_composition(X1,X2),sK5))
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f15982,f196]) ).
fof(f16002,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(function_inverse(X1),sK5))
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f15982,f153]) ).
fof(f16001,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(X0,relation_composition(relation_dom(X1),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15982,f150]) ).
fof(f16000,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(X1,sK5))
| ~ empty(X1) ),
inference(resolution,[],[f15982,f145]) ).
fof(f15982,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ empty(X0)
| empty_set = relation_composition(X0,relation_composition(X1,sK5)) ),
inference(resolution,[],[f764,f132]) ).
fof(f15990,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ relation(X1) ),
inference(forward_demodulation,[],[f15988,f228]) ).
fof(f15988,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK20))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f764,f214]) ).
fof(f15987,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK19))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f764,f211]) ).
fof(f15986,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK18))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f764,f209]) ).
fof(f15985,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK17))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f764,f208]) ).
fof(f15989,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ relation(X1) ),
inference(forward_demodulation,[],[f15984,f227]) ).
fof(f15984,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK16))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f764,f207]) ).
fof(f15983,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,sK15))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f764,f205]) ).
fof(f15981,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_rng(X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f764,f148]) ).
fof(f15980,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,empty_set))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f764,f138]) ).
fof(f15979,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,[],[f764,f189]) ).
fof(f15978,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,[],[f764,f191]) ).
fof(f15977,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,[],[f764,f196]) ).
fof(f15976,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,[],[f764,f153]) ).
fof(f15975,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,relation_dom(X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f764,f150]) ).
fof(f15974,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f764,f145]) ).
fof(f764,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f376,f196]) ).
fof(f15955,plain,
! [X0] :
( relation_rng(sK11(sK6(powerset(X0)))) = relation_dom(function_inverse(sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f15598,f4602]) ).
fof(f15954,plain,
! [X0] :
( relation_rng(sK11(powerset(X0))) = relation_dom(function_inverse(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f15598,f646]) ).
fof(f15953,plain,
! [X0] :
( relation_rng(relation_rng(X0)) = relation_dom(function_inverse(relation_rng(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f15598,f147]) ).
fof(f15951,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,X1)) = relation_dom(function_inverse(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15598,f188]) ).
fof(f15950,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,X1)) = relation_dom(function_inverse(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15598,f190]) ).
fof(f15949,plain,
! [X0] :
( relation_rng(relation_dom(X0)) = relation_dom(function_inverse(relation_dom(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f15598,f149]) ).
fof(f15598,plain,
! [X0] :
( ~ empty(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0)) ),
inference(subsumption_resolution,[],[f15597,f145]) ).
fof(f15597,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f15593,f144]) ).
fof(f15593,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ empty(X0) ),
inference(resolution,[],[f4411,f241]) ).
fof(f15931,plain,
empty_set = relation_composition(function_inverse(sK19),empty_set),
inference(resolution,[],[f15458,f136]) ).
fof(f15942,plain,
empty_set = relation_composition(function_inverse(sK19),empty_set),
inference(forward_demodulation,[],[f15938,f228]) ).
fof(f15938,plain,
empty_set = relation_composition(function_inverse(sK19),sK20),
inference(resolution,[],[f15458,f215]) ).
fof(f15941,plain,
empty_set = relation_composition(function_inverse(sK19),empty_set),
inference(forward_demodulation,[],[f15937,f227]) ).
fof(f15937,plain,
empty_set = relation_composition(function_inverse(sK19),sK16),
inference(resolution,[],[f15458,f206]) ).
fof(f15940,plain,
empty_set = relation_composition(function_inverse(sK19),empty_set),
inference(forward_demodulation,[],[f15936,f226]) ).
fof(f15936,plain,
empty_set = relation_composition(function_inverse(sK19),sK14),
inference(resolution,[],[f15458,f203]) ).
fof(f15939,plain,
empty_set = relation_composition(function_inverse(sK19),empty_set),
inference(forward_demodulation,[],[f15935,f225]) ).
fof(f15935,plain,
! [X0] : empty_set = relation_composition(function_inverse(sK19),sK12(X0)),
inference(resolution,[],[f15458,f183]) ).
fof(f15934,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK19),sK11(sK6(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f15458,f4602]) ).
fof(f15933,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK19),sK11(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f15458,f646]) ).
fof(f15932,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK19),relation_rng(X0)) ),
inference(resolution,[],[f15458,f147]) ).
fof(f15930,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK19),relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15458,f188]) ).
fof(f15929,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK19),relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15458,f190]) ).
fof(f15928,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK19),relation_dom(X0)) ),
inference(resolution,[],[f15458,f149]) ).
fof(f15458,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK19),X0) ),
inference(subsumption_resolution,[],[f15448,f212]) ).
fof(f15448,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK19),X0)
| ~ function(sK19)
| ~ empty(X0) ),
inference(resolution,[],[f3764,f211]) ).
fof(f15919,plain,
! [X2,X0,X1] :
( relation_composition(relation_rng(X0),X1) = sK11(sK6(powerset(X2)))
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f4881,f4602]) ).
fof(f15918,plain,
! [X2,X0,X1] :
( relation_composition(relation_rng(X0),X1) = sK11(powerset(X2))
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f4881,f646]) ).
fof(f15917,plain,
! [X2,X0,X1] :
( relation_rng(X2) = relation_composition(relation_rng(X0),X1)
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f4881,f147]) ).
fof(f15915,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,[],[f4881,f188]) ).
fof(f15914,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,[],[f4881,f190]) ).
fof(f15913,plain,
! [X2,X0,X1] :
( relation_dom(X2) = relation_composition(relation_rng(X0),X1)
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f4881,f149]) ).
fof(f4881,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| relation_composition(relation_rng(X1),X0) = X2
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f385,f148]) ).
fof(f15895,plain,
empty_set = relation_composition(function_inverse(sK18),empty_set),
inference(resolution,[],[f15457,f136]) ).
fof(f15906,plain,
empty_set = relation_composition(function_inverse(sK18),empty_set),
inference(forward_demodulation,[],[f15902,f228]) ).
fof(f15902,plain,
empty_set = relation_composition(function_inverse(sK18),sK20),
inference(resolution,[],[f15457,f215]) ).
fof(f15905,plain,
empty_set = relation_composition(function_inverse(sK18),empty_set),
inference(forward_demodulation,[],[f15901,f227]) ).
fof(f15901,plain,
empty_set = relation_composition(function_inverse(sK18),sK16),
inference(resolution,[],[f15457,f206]) ).
fof(f15904,plain,
empty_set = relation_composition(function_inverse(sK18),empty_set),
inference(forward_demodulation,[],[f15900,f226]) ).
fof(f15900,plain,
empty_set = relation_composition(function_inverse(sK18),sK14),
inference(resolution,[],[f15457,f203]) ).
fof(f15903,plain,
empty_set = relation_composition(function_inverse(sK18),empty_set),
inference(forward_demodulation,[],[f15899,f225]) ).
fof(f15899,plain,
! [X0] : empty_set = relation_composition(function_inverse(sK18),sK12(X0)),
inference(resolution,[],[f15457,f183]) ).
fof(f15898,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK18),sK11(sK6(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f15457,f4602]) ).
fof(f15897,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK18),sK11(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f15457,f646]) ).
fof(f15896,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK18),relation_rng(X0)) ),
inference(resolution,[],[f15457,f147]) ).
fof(f15894,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK18),relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15457,f188]) ).
fof(f15893,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK18),relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15457,f190]) ).
fof(f15892,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK18),relation_dom(X0)) ),
inference(resolution,[],[f15457,f149]) ).
fof(f15457,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK18),X0) ),
inference(subsumption_resolution,[],[f15447,f210]) ).
fof(f15447,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK18),X0)
| ~ function(sK18)
| ~ empty(X0) ),
inference(resolution,[],[f3764,f209]) ).
fof(f15874,plain,
empty_set = relation_composition(empty_set,function_inverse(sK19)),
inference(resolution,[],[f15300,f136]) ).
fof(f15885,plain,
empty_set = relation_composition(empty_set,function_inverse(sK19)),
inference(forward_demodulation,[],[f15881,f228]) ).
fof(f15881,plain,
empty_set = relation_composition(sK20,function_inverse(sK19)),
inference(resolution,[],[f15300,f215]) ).
fof(f15884,plain,
empty_set = relation_composition(empty_set,function_inverse(sK19)),
inference(forward_demodulation,[],[f15880,f227]) ).
fof(f15880,plain,
empty_set = relation_composition(sK16,function_inverse(sK19)),
inference(resolution,[],[f15300,f206]) ).
fof(f15883,plain,
empty_set = relation_composition(empty_set,function_inverse(sK19)),
inference(forward_demodulation,[],[f15879,f226]) ).
fof(f15879,plain,
empty_set = relation_composition(sK14,function_inverse(sK19)),
inference(resolution,[],[f15300,f203]) ).
fof(f15882,plain,
empty_set = relation_composition(empty_set,function_inverse(sK19)),
inference(forward_demodulation,[],[f15878,f225]) ).
fof(f15878,plain,
! [X0] : empty_set = relation_composition(sK12(X0),function_inverse(sK19)),
inference(resolution,[],[f15300,f183]) ).
fof(f15877,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(X0))),function_inverse(sK19))
| ~ empty(X0) ),
inference(resolution,[],[f15300,f4602]) ).
fof(f15876,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(X0)),function_inverse(sK19))
| ~ empty(X0) ),
inference(resolution,[],[f15300,f646]) ).
fof(f15875,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),function_inverse(sK19)) ),
inference(resolution,[],[f15300,f147]) ).
fof(f15873,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),function_inverse(sK19))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15300,f188]) ).
fof(f15872,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),function_inverse(sK19))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15300,f190]) ).
fof(f15871,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),function_inverse(sK19)) ),
inference(resolution,[],[f15300,f149]) ).
fof(f15300,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,function_inverse(sK19)) ),
inference(subsumption_resolution,[],[f15290,f212]) ).
fof(f15290,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK19))
| ~ function(sK19)
| ~ empty(X0) ),
inference(resolution,[],[f763,f211]) ).
fof(f15862,plain,
! [X2,X0,X1] :
( relation_composition(relation_dom(X0),X1) = sK11(sK6(powerset(X2)))
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f4875,f4602]) ).
fof(f15861,plain,
! [X2,X0,X1] :
( relation_composition(relation_dom(X0),X1) = sK11(powerset(X2))
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f4875,f646]) ).
fof(f15860,plain,
! [X2,X0,X1] :
( relation_rng(X2) = relation_composition(relation_dom(X0),X1)
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f4875,f147]) ).
fof(f15858,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,[],[f4875,f188]) ).
fof(f15857,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,[],[f4875,f190]) ).
fof(f15856,plain,
! [X2,X0,X1] :
( relation_dom(X2) = relation_composition(relation_dom(X0),X1)
| ~ empty(X1)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f4875,f149]) ).
fof(f4875,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| relation_composition(relation_dom(X1),X0) = X2
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f385,f150]) ).
fof(f15838,plain,
empty_set = relation_composition(empty_set,function_inverse(sK18)),
inference(resolution,[],[f15299,f136]) ).
fof(f15849,plain,
empty_set = relation_composition(empty_set,function_inverse(sK18)),
inference(forward_demodulation,[],[f15845,f228]) ).
fof(f15845,plain,
empty_set = relation_composition(sK20,function_inverse(sK18)),
inference(resolution,[],[f15299,f215]) ).
fof(f15848,plain,
empty_set = relation_composition(empty_set,function_inverse(sK18)),
inference(forward_demodulation,[],[f15844,f227]) ).
fof(f15844,plain,
empty_set = relation_composition(sK16,function_inverse(sK18)),
inference(resolution,[],[f15299,f206]) ).
fof(f15847,plain,
empty_set = relation_composition(empty_set,function_inverse(sK18)),
inference(forward_demodulation,[],[f15843,f226]) ).
fof(f15843,plain,
empty_set = relation_composition(sK14,function_inverse(sK18)),
inference(resolution,[],[f15299,f203]) ).
fof(f15846,plain,
empty_set = relation_composition(empty_set,function_inverse(sK18)),
inference(forward_demodulation,[],[f15842,f225]) ).
fof(f15842,plain,
! [X0] : empty_set = relation_composition(sK12(X0),function_inverse(sK18)),
inference(resolution,[],[f15299,f183]) ).
fof(f15841,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(X0))),function_inverse(sK18))
| ~ empty(X0) ),
inference(resolution,[],[f15299,f4602]) ).
fof(f15840,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(X0)),function_inverse(sK18))
| ~ empty(X0) ),
inference(resolution,[],[f15299,f646]) ).
fof(f15839,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),function_inverse(sK18)) ),
inference(resolution,[],[f15299,f147]) ).
fof(f15837,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),function_inverse(sK18))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15299,f188]) ).
fof(f15836,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),function_inverse(sK18))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15299,f190]) ).
fof(f15835,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),function_inverse(sK18)) ),
inference(resolution,[],[f15299,f149]) ).
fof(f15299,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,function_inverse(sK18)) ),
inference(subsumption_resolution,[],[f15289,f210]) ).
fof(f15289,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK18))
| ~ function(sK18)
| ~ empty(X0) ),
inference(resolution,[],[f763,f209]) ).
fof(f15816,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f15507,f4602]) ).
fof(f15815,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f15507,f646]) ).
fof(f15814,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f15507,f147]) ).
fof(f15812,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15507,f188]) ).
fof(f15811,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15507,f190]) ).
fof(f15810,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f15507,f149]) ).
fof(f15507,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f15466,f147]) ).
fof(f15791,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f15503,f4602]) ).
fof(f15790,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f15503,f646]) ).
fof(f15789,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f15503,f147]) ).
fof(f15787,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15503,f188]) ).
fof(f15786,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15503,f190]) ).
fof(f15785,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f15503,f149]) ).
fof(f15503,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f15466,f149]) ).
fof(f15766,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f15487,f4602]) ).
fof(f15765,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f15487,f646]) ).
fof(f15764,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f15487,f147]) ).
fof(f15762,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15487,f188]) ).
fof(f15761,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15487,f190]) ).
fof(f15760,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f15487,f149]) ).
fof(f15487,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f15462,f147]) ).
fof(f15741,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f15483,f4602]) ).
fof(f15740,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f15483,f646]) ).
fof(f15739,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f15483,f147]) ).
fof(f15737,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15483,f188]) ).
fof(f15736,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15483,f190]) ).
fof(f15735,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f15483,f149]) ).
fof(f15483,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f15462,f149]) ).
fof(f15727,plain,
( ~ in(relation_rng(sK5),sK10(function_inverse(sK5)))
| spl21_3 ),
inference(resolution,[],[f15707,f185]) ).
fof(f15731,plain,
( sK10(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK10(function_inverse(sK5)))
| spl21_3 ),
inference(subsumption_resolution,[],[f15730,f132]) ).
fof(f15730,plain,
( sK10(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK10(function_inverse(sK5)))
| ~ relation(sK5)
| spl21_3 ),
inference(subsumption_resolution,[],[f15729,f133]) ).
fof(f15729,plain,
( sK10(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK10(function_inverse(sK5)))
| ~ function(sK5)
| ~ relation(sK5)
| spl21_3 ),
inference(subsumption_resolution,[],[f15725,f134]) ).
fof(f15725,plain,
( sK10(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK10(function_inverse(sK5)))
| ~ one_to_one(sK5)
| ~ function(sK5)
| ~ relation(sK5)
| spl21_3 ),
inference(resolution,[],[f15707,f195]) ).
fof(f15724,plain,
( ! [X0] :
( sK10(function_inverse(sK5)) = apply(sK5,apply(X0,sK10(function_inverse(sK5))))
| ~ sP1(X0,sK5) )
| spl21_3 ),
inference(resolution,[],[f15707,f2249]) ).
fof(f15707,plain,
( in(sK10(function_inverse(sK5)),relation_rng(sK5))
| spl21_3 ),
inference(subsumption_resolution,[],[f15611,f15625]) ).
fof(f15714,plain,
! [X2,X0,X1] :
( relation_composition(X0,relation_rng(X1)) = sK11(sK6(powerset(X2)))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4611,f4602]) ).
fof(f15713,plain,
! [X2,X0,X1] :
( relation_composition(X0,relation_rng(X1)) = sK11(powerset(X2))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4611,f646]) ).
fof(f15712,plain,
! [X2,X0,X1] :
( relation_rng(X2) = relation_composition(X0,relation_rng(X1))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4611,f147]) ).
fof(f15710,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,[],[f4611,f188]) ).
fof(f15709,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,[],[f4611,f190]) ).
fof(f15708,plain,
! [X2,X0,X1] :
( relation_dom(X2) = relation_composition(X0,relation_rng(X1))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4611,f149]) ).
fof(f4611,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| relation_composition(X0,relation_rng(X1)) = X2
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f377,f148]) ).
fof(f15690,plain,
( ~ in(relation_rng(sK5),sK9(function_inverse(sK5)))
| spl21_3 ),
inference(resolution,[],[f15685,f185]) ).
fof(f15686,plain,
( ! [X0] :
( ~ sP1(X0,sK5)
| ~ empty(relation_dom(sK5)) )
| spl21_3 ),
inference(resolution,[],[f15685,f5257]) ).
fof(f15694,plain,
( sK9(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK9(function_inverse(sK5)))
| spl21_3 ),
inference(subsumption_resolution,[],[f15693,f132]) ).
fof(f15693,plain,
( sK9(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK9(function_inverse(sK5)))
| ~ relation(sK5)
| spl21_3 ),
inference(subsumption_resolution,[],[f15692,f133]) ).
fof(f15692,plain,
( sK9(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK9(function_inverse(sK5)))
| ~ function(sK5)
| ~ relation(sK5)
| spl21_3 ),
inference(subsumption_resolution,[],[f15688,f134]) ).
fof(f15688,plain,
( sK9(function_inverse(sK5)) = apply(relation_composition(function_inverse(sK5),sK5),sK9(function_inverse(sK5)))
| ~ one_to_one(sK5)
| ~ function(sK5)
| ~ relation(sK5)
| spl21_3 ),
inference(resolution,[],[f15685,f195]) ).
fof(f15687,plain,
( ! [X0] :
( sK9(function_inverse(sK5)) = apply(sK5,apply(X0,sK9(function_inverse(sK5))))
| ~ sP1(X0,sK5) )
| spl21_3 ),
inference(resolution,[],[f15685,f2249]) ).
fof(f15667,plain,
! [X2,X0,X1] :
( relation_composition(X0,relation_dom(X1)) = sK11(sK6(powerset(X2)))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4605,f4602]) ).
fof(f15666,plain,
! [X2,X0,X1] :
( relation_composition(X0,relation_dom(X1)) = sK11(powerset(X2))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4605,f646]) ).
fof(f15665,plain,
! [X2,X0,X1] :
( relation_rng(X2) = relation_composition(X0,relation_dom(X1))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4605,f147]) ).
fof(f15663,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,[],[f4605,f188]) ).
fof(f15662,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,[],[f4605,f190]) ).
fof(f15661,plain,
! [X2,X0,X1] :
( relation_dom(X2) = relation_composition(X0,relation_dom(X1))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4605,f149]) ).
fof(f4605,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| relation_composition(X0,relation_dom(X1)) = X2
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f377,f150]) ).
fof(f15636,plain,
( empty(relation_rng(sK19))
| ~ empty(function_inverse(sK19)) ),
inference(superposition,[],[f149,f15606]) ).
fof(f15649,plain,
! [X0] :
( relation_rng(X0) != relation_rng(sK19)
| sP1(function_inverse(sK19),X0)
| sK7(function_inverse(sK19),X0) = apply(X0,sK8(function_inverse(sK19),X0))
| sK8(function_inverse(sK19),X0) = apply(function_inverse(sK19),sK7(function_inverse(sK19),X0)) ),
inference(superposition,[],[f3048,f15606]) ).
fof(f15648,plain,
! [X0] :
( in(sK8(X0,function_inverse(sK19)),relation_rng(sK19))
| sP1(X0,function_inverse(sK19))
| relation_dom(X0) != relation_rng(function_inverse(sK19))
| in(sK7(X0,function_inverse(sK19)),relation_rng(function_inverse(sK19))) ),
inference(superposition,[],[f2807,f15606]) ).
fof(f15647,plain,
! [X0] :
( in(sK8(X0,function_inverse(sK19)),relation_rng(sK19))
| sP1(X0,function_inverse(sK19))
| relation_dom(X0) != relation_rng(function_inverse(sK19))
| sK8(X0,function_inverse(sK19)) = apply(X0,sK7(X0,function_inverse(sK19))) ),
inference(superposition,[],[f2806,f15606]) ).
fof(f15646,plain,
! [X0,X1] :
( in(apply(X0,X1),relation_rng(sK19))
| ~ in(X1,relation_rng(function_inverse(sK19)))
| ~ sP1(X0,function_inverse(sK19)) ),
inference(superposition,[],[f1729,f15606]) ).
fof(f15645,plain,
( ~ in(relation_rng(sK19),sK10(function_inverse(sK19)))
| sP3(function_inverse(sK19)) ),
inference(superposition,[],[f279,f15606]) ).
fof(f15644,plain,
( ~ empty(relation_rng(sK19))
| sP3(function_inverse(sK19)) ),
inference(superposition,[],[f274,f15606]) ).
fof(f15643,plain,
( ~ in(relation_rng(sK19),sK9(function_inverse(sK19)))
| sP3(function_inverse(sK19)) ),
inference(superposition,[],[f273,f15606]) ).
fof(f15642,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(sK19))
| in(apply(function_inverse(sK19),X0),relation_rng(function_inverse(sK19)))
| ~ sP1(X1,function_inverse(sK19)) ),
inference(superposition,[],[f219,f15606]) ).
fof(f15641,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(sK19))
| apply(X1,apply(function_inverse(sK19),X0)) = X0
| ~ sP1(X1,function_inverse(sK19)) ),
inference(superposition,[],[f218,f15606]) ).
fof(f15640,plain,
( in(sK10(function_inverse(sK19)),relation_rng(sK19))
| sP3(function_inverse(sK19)) ),
inference(superposition,[],[f174,f15606]) ).
fof(f15639,plain,
( in(sK9(function_inverse(sK19)),relation_rng(sK19))
| sP3(function_inverse(sK19)) ),
inference(superposition,[],[f173,f15606]) ).
fof(f15638,plain,
( ~ empty(relation_rng(sK19))
| ~ relation(function_inverse(sK19))
| empty(function_inverse(sK19)) ),
inference(superposition,[],[f152,f15606]) ).
fof(f15637,plain,
( relation(relation_rng(sK19))
| ~ empty(function_inverse(sK19)) ),
inference(superposition,[],[f150,f15606]) ).
fof(f15606,plain,
relation_rng(sK19) = relation_dom(function_inverse(sK19)),
inference(subsumption_resolution,[],[f15605,f212]) ).
fof(f15605,plain,
( ~ function(sK19)
| relation_rng(sK19) = relation_dom(function_inverse(sK19)) ),
inference(subsumption_resolution,[],[f15596,f211]) ).
fof(f15596,plain,
( ~ relation(sK19)
| ~ function(sK19)
| relation_rng(sK19) = relation_dom(function_inverse(sK19)) ),
inference(resolution,[],[f4411,f213]) ).
fof(f15632,plain,
( apply(function_inverse(sK5),sK9(function_inverse(sK5))) = apply(function_inverse(sK5),sK10(function_inverse(sK5)))
| spl21_3 ),
inference(resolution,[],[f15625,f175]) ).
fof(f15615,plain,
( ~ empty(relation_rng(sK5))
| sP3(function_inverse(sK5)) ),
inference(superposition,[],[f274,f15604]) ).
fof(f15620,plain,
! [X0] :
( relation_rng(X0) != relation_rng(sK5)
| sP1(function_inverse(sK5),X0)
| sK7(function_inverse(sK5),X0) = apply(X0,sK8(function_inverse(sK5),X0))
| sK8(function_inverse(sK5),X0) = apply(function_inverse(sK5),sK7(function_inverse(sK5),X0)) ),
inference(superposition,[],[f3048,f15604]) ).
fof(f15619,plain,
! [X0] :
( in(sK8(X0,function_inverse(sK5)),relation_rng(sK5))
| sP1(X0,function_inverse(sK5))
| relation_dom(X0) != relation_rng(function_inverse(sK5))
| in(sK7(X0,function_inverse(sK5)),relation_rng(function_inverse(sK5))) ),
inference(superposition,[],[f2807,f15604]) ).
fof(f15618,plain,
! [X0] :
( in(sK8(X0,function_inverse(sK5)),relation_rng(sK5))
| sP1(X0,function_inverse(sK5))
| relation_dom(X0) != relation_rng(function_inverse(sK5))
| sK8(X0,function_inverse(sK5)) = apply(X0,sK7(X0,function_inverse(sK5))) ),
inference(superposition,[],[f2806,f15604]) ).
fof(f15617,plain,
! [X0,X1] :
( in(apply(X0,X1),relation_rng(sK5))
| ~ in(X1,relation_rng(function_inverse(sK5)))
| ~ sP1(X0,function_inverse(sK5)) ),
inference(superposition,[],[f1729,f15604]) ).
fof(f15616,plain,
( ~ in(relation_rng(sK5),sK10(function_inverse(sK5)))
| sP3(function_inverse(sK5)) ),
inference(superposition,[],[f279,f15604]) ).
fof(f15614,plain,
( ~ in(relation_rng(sK5),sK9(function_inverse(sK5)))
| sP3(function_inverse(sK5)) ),
inference(superposition,[],[f273,f15604]) ).
fof(f15613,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,[],[f219,f15604]) ).
fof(f15612,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(sK5))
| apply(X1,apply(function_inverse(sK5),X0)) = X0
| ~ sP1(X1,function_inverse(sK5)) ),
inference(superposition,[],[f218,f15604]) ).
fof(f15611,plain,
( in(sK10(function_inverse(sK5)),relation_rng(sK5))
| sP3(function_inverse(sK5)) ),
inference(superposition,[],[f174,f15604]) ).
fof(f15622,plain,
( ~ empty(relation_rng(sK5))
| ~ relation(function_inverse(sK5)) ),
inference(subsumption_resolution,[],[f15609,f242]) ).
fof(f15609,plain,
( ~ empty(relation_rng(sK5))
| ~ relation(function_inverse(sK5))
| empty(function_inverse(sK5)) ),
inference(superposition,[],[f152,f15604]) ).
fof(f15574,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),function_inverse(sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15349,f4602]) ).
fof(f15573,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),function_inverse(sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15349,f646]) ).
fof(f15572,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15349,f147]) ).
fof(f15570,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15349,f188]) ).
fof(f15569,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15349,f190]) ).
fof(f15568,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15349,f149]) ).
fof(f15349,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),function_inverse(sK5)) ),
inference(resolution,[],[f15308,f147]) ).
fof(f15549,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),function_inverse(sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15345,f4602]) ).
fof(f15548,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),function_inverse(sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15345,f646]) ).
fof(f15547,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15345,f147]) ).
fof(f15545,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15345,f188]) ).
fof(f15544,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15345,f190]) ).
fof(f15543,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15345,f149]) ).
fof(f15345,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),function_inverse(sK5)) ),
inference(resolution,[],[f15308,f149]) ).
fof(f15529,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK5),sK11(powerset(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f15467,f4602]) ).
fof(f15528,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),sK11(powerset(sK11(powerset(X0))))) ),
inference(resolution,[],[f15467,f646]) ).
fof(f15527,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),sK11(powerset(relation_rng(X0)))) ),
inference(resolution,[],[f15467,f147]) ).
fof(f15525,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15467,f188]) ).
fof(f15524,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15467,f190]) ).
fof(f15523,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),sK11(powerset(relation_dom(X0)))) ),
inference(resolution,[],[f15467,f149]) ).
fof(f15467,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),sK11(powerset(X0))) ),
inference(resolution,[],[f15454,f646]) ).
fof(f15509,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f15466,f4602]) ).
fof(f15508,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(sK11(powerset(X0)))) ),
inference(resolution,[],[f15466,f646]) ).
fof(f15505,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15466,f188]) ).
fof(f15504,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15466,f190]) ).
fof(f15466,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_rng(X0)) ),
inference(resolution,[],[f15454,f147]) ).
fof(f15489,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f15462,f4602]) ).
fof(f15488,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(sK11(powerset(X0)))) ),
inference(resolution,[],[f15462,f646]) ).
fof(f15485,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15462,f188]) ).
fof(f15484,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(sK5),relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15462,f190]) ).
fof(f15462,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_dom(X0)) ),
inference(resolution,[],[f15454,f149]) ).
fof(f15465,plain,
empty_set = relation_composition(function_inverse(sK5),empty_set),
inference(resolution,[],[f15454,f136]) ).
fof(f15476,plain,
empty_set = relation_composition(function_inverse(sK5),empty_set),
inference(forward_demodulation,[],[f15472,f228]) ).
fof(f15472,plain,
empty_set = relation_composition(function_inverse(sK5),sK20),
inference(resolution,[],[f15454,f215]) ).
fof(f15475,plain,
empty_set = relation_composition(function_inverse(sK5),empty_set),
inference(forward_demodulation,[],[f15471,f227]) ).
fof(f15471,plain,
empty_set = relation_composition(function_inverse(sK5),sK16),
inference(resolution,[],[f15454,f206]) ).
fof(f15474,plain,
empty_set = relation_composition(function_inverse(sK5),empty_set),
inference(forward_demodulation,[],[f15470,f226]) ).
fof(f15470,plain,
empty_set = relation_composition(function_inverse(sK5),sK14),
inference(resolution,[],[f15454,f203]) ).
fof(f15473,plain,
empty_set = relation_composition(function_inverse(sK5),empty_set),
inference(forward_demodulation,[],[f15469,f225]) ).
fof(f15469,plain,
! [X0] : empty_set = relation_composition(function_inverse(sK5),sK12(X0)),
inference(resolution,[],[f15454,f183]) ).
fof(f15468,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f15454,f4602]) ).
fof(f15464,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(function_inverse(sK5),relation_composition(X0,X1))
| ~ empty(X0) ),
inference(resolution,[],[f15454,f188]) ).
fof(f15463,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(function_inverse(sK5),relation_composition(X0,X1))
| ~ empty(X1) ),
inference(resolution,[],[f15454,f190]) ).
fof(f15454,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(function_inverse(sK5),X0) ),
inference(subsumption_resolution,[],[f15443,f133]) ).
fof(f15443,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK5),X0)
| ~ function(sK5)
| ~ empty(X0) ),
inference(resolution,[],[f3764,f132]) ).
fof(f15446,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK17),X0)
| ~ function(sK17)
| ~ empty(X0) ),
inference(resolution,[],[f3764,f208]) ).
fof(f15444,plain,
! [X0] :
( empty_set = relation_composition(function_inverse(sK15),X0)
| ~ function(sK15)
| ~ empty(X0) ),
inference(resolution,[],[f3764,f205]) ).
fof(f15442,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(relation_rng(X0)),X1)
| ~ function(relation_rng(X0))
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3764,f148]) ).
fof(f15440,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,[],[f3764,f189]) ).
fof(f15439,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,[],[f3764,f191]) ).
fof(f15438,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,[],[f3764,f196]) ).
fof(f15451,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(function_inverse(X0)),X1)
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f15437,f154]) ).
fof(f15437,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,[],[f3764,f153]) ).
fof(f15436,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(relation_dom(X0)),X1)
| ~ function(relation_dom(X0))
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3764,f150]) ).
fof(f15450,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(X0),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f15435,f144]) ).
fof(f15435,plain,
! [X0,X1] :
( empty_set = relation_composition(function_inverse(X0),X1)
| ~ function(X0)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3764,f145]) ).
fof(f3764,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(function_inverse(X1),X0)
| ~ function(X1)
| ~ empty(X0) ),
inference(resolution,[],[f384,f153]) ).
fof(f15416,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),function_inverse(sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15329,f4602]) ).
fof(f15415,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),function_inverse(sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15329,f646]) ).
fof(f15414,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15329,f147]) ).
fof(f15412,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15329,f188]) ).
fof(f15411,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15329,f190]) ).
fof(f15410,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15329,f149]) ).
fof(f15329,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),function_inverse(sK5)) ),
inference(resolution,[],[f15304,f147]) ).
fof(f15391,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),function_inverse(sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15325,f4602]) ).
fof(f15390,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),function_inverse(sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15325,f646]) ).
fof(f15389,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15325,f147]) ).
fof(f15387,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15325,f188]) ).
fof(f15386,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15325,f190]) ).
fof(f15385,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15325,f149]) ).
fof(f15325,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),function_inverse(sK5)) ),
inference(resolution,[],[f15304,f149]) ).
fof(f15371,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),function_inverse(sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15309,f4602]) ).
fof(f15370,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(sK11(powerset(X0)))),function_inverse(sK5)) ),
inference(resolution,[],[f15309,f646]) ).
fof(f15369,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_rng(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15309,f147]) ).
fof(f15367,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15309,f188]) ).
fof(f15366,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15309,f190]) ).
fof(f15365,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_dom(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15309,f149]) ).
fof(f15309,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),function_inverse(sK5)) ),
inference(resolution,[],[f15296,f646]) ).
fof(f15351,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),function_inverse(sK5)) ),
inference(resolution,[],[f15308,f4602]) ).
fof(f15350,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(powerset(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15308,f646]) ).
fof(f15347,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15308,f188]) ).
fof(f15346,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15308,f190]) ).
fof(f15308,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),function_inverse(sK5)) ),
inference(resolution,[],[f15296,f147]) ).
fof(f15331,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),function_inverse(sK5)) ),
inference(resolution,[],[f15304,f4602]) ).
fof(f15330,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(powerset(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15304,f646]) ).
fof(f15327,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),function_inverse(sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f15304,f188]) ).
fof(f15326,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),function_inverse(sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15304,f190]) ).
fof(f15304,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),function_inverse(sK5)) ),
inference(resolution,[],[f15296,f149]) ).
fof(f15307,plain,
empty_set = relation_composition(empty_set,function_inverse(sK5)),
inference(resolution,[],[f15296,f136]) ).
fof(f15318,plain,
empty_set = relation_composition(empty_set,function_inverse(sK5)),
inference(forward_demodulation,[],[f15314,f228]) ).
fof(f15314,plain,
empty_set = relation_composition(sK20,function_inverse(sK5)),
inference(resolution,[],[f15296,f215]) ).
fof(f15317,plain,
empty_set = relation_composition(empty_set,function_inverse(sK5)),
inference(forward_demodulation,[],[f15313,f227]) ).
fof(f15313,plain,
empty_set = relation_composition(sK16,function_inverse(sK5)),
inference(resolution,[],[f15296,f206]) ).
fof(f15316,plain,
empty_set = relation_composition(empty_set,function_inverse(sK5)),
inference(forward_demodulation,[],[f15312,f226]) ).
fof(f15312,plain,
empty_set = relation_composition(sK14,function_inverse(sK5)),
inference(resolution,[],[f15296,f203]) ).
fof(f15315,plain,
empty_set = relation_composition(empty_set,function_inverse(sK5)),
inference(forward_demodulation,[],[f15311,f225]) ).
fof(f15311,plain,
! [X0] : empty_set = relation_composition(sK12(X0),function_inverse(sK5)),
inference(resolution,[],[f15296,f183]) ).
fof(f15310,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(sK6(powerset(X0))),function_inverse(sK5)) ),
inference(resolution,[],[f15296,f4602]) ).
fof(f15306,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(relation_composition(X0,X1),function_inverse(sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15296,f188]) ).
fof(f15305,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(relation_composition(X0,X1),function_inverse(sK5))
| ~ empty(X1) ),
inference(resolution,[],[f15296,f190]) ).
fof(f15296,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,function_inverse(sK5)) ),
inference(subsumption_resolution,[],[f15285,f133]) ).
fof(f15285,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK5))
| ~ function(sK5)
| ~ empty(X0) ),
inference(resolution,[],[f763,f132]) ).
fof(f15288,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK17))
| ~ function(sK17)
| ~ empty(X0) ),
inference(resolution,[],[f763,f208]) ).
fof(f15286,plain,
! [X0] :
( empty_set = relation_composition(X0,function_inverse(sK15))
| ~ function(sK15)
| ~ empty(X0) ),
inference(resolution,[],[f763,f205]) ).
fof(f15284,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,function_inverse(relation_rng(X1)))
| ~ function(relation_rng(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f763,f148]) ).
fof(f15282,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,[],[f763,f189]) ).
fof(f15281,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,[],[f763,f191]) ).
fof(f15280,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,[],[f763,f196]) ).
fof(f15293,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,function_inverse(function_inverse(X1)))
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(subsumption_resolution,[],[f15279,f154]) ).
fof(f15279,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,[],[f763,f153]) ).
fof(f15278,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,function_inverse(relation_dom(X1)))
| ~ function(relation_dom(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f763,f150]) ).
fof(f15292,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,function_inverse(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(subsumption_resolution,[],[f15277,f144]) ).
fof(f15277,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,function_inverse(X1))
| ~ function(X1)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f763,f145]) ).
fof(f763,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(X0,function_inverse(X1))
| ~ function(X1)
| ~ empty(X0) ),
inference(resolution,[],[f376,f153]) ).
fof(f15258,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1549,f4602]) ).
fof(f15257,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1549,f646]) ).
fof(f15256,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1549,f147]) ).
fof(f15254,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK19)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1549,f188]) ).
fof(f15253,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK19)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1549,f190]) ).
fof(f15252,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1549,f149]) ).
fof(f1549,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),sK19) ),
inference(resolution,[],[f1033,f147]) ).
fof(f15233,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1545,f4602]) ).
fof(f15232,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1545,f646]) ).
fof(f15231,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1545,f147]) ).
fof(f15229,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK19)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1545,f188]) ).
fof(f15228,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK19)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1545,f190]) ).
fof(f15227,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1545,f149]) ).
fof(f1545,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),sK19) ),
inference(resolution,[],[f1033,f149]) ).
fof(f15208,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1530,f4602]) ).
fof(f15207,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1530,f646]) ).
fof(f15206,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1530,f147]) ).
fof(f15204,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK18)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1530,f188]) ).
fof(f15203,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK18)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1530,f190]) ).
fof(f15202,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1530,f149]) ).
fof(f1530,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),sK18) ),
inference(resolution,[],[f1018,f147]) ).
fof(f15183,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1526,f4602]) ).
fof(f15182,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1526,f646]) ).
fof(f15181,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1526,f147]) ).
fof(f15179,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK18)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1526,f188]) ).
fof(f15178,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK18)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1526,f190]) ).
fof(f15177,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1526,f149]) ).
fof(f1526,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),sK18) ),
inference(resolution,[],[f1018,f149]) ).
fof(f15158,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1511,f4602]) ).
fof(f15157,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1511,f646]) ).
fof(f15156,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1511,f147]) ).
fof(f15154,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK18)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1511,f188]) ).
fof(f15153,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK18)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1511,f190]) ).
fof(f15152,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1511,f149]) ).
fof(f1511,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),sK18) ),
inference(resolution,[],[f1014,f147]) ).
fof(f15133,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1507,f4602]) ).
fof(f15132,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1507,f646]) ).
fof(f15131,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1507,f147]) ).
fof(f15129,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK18)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1507,f188]) ).
fof(f15128,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK18)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1507,f190]) ).
fof(f15127,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1507,f149]) ).
fof(f1507,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),sK18) ),
inference(resolution,[],[f1014,f149]) ).
fof(f15108,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1492,f4602]) ).
fof(f15107,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1492,f646]) ).
fof(f15106,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1492,f147]) ).
fof(f15104,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1492,f188]) ).
fof(f15103,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1492,f190]) ).
fof(f15102,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1492,f149]) ).
fof(f1492,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),sK17) ),
inference(resolution,[],[f999,f147]) ).
fof(f15083,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1488,f4602]) ).
fof(f15082,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1488,f646]) ).
fof(f15081,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1488,f147]) ).
fof(f15079,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1488,f188]) ).
fof(f15078,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1488,f190]) ).
fof(f15077,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1488,f149]) ).
fof(f1488,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),sK17) ),
inference(resolution,[],[f999,f149]) ).
fof(f15063,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(sK6(powerset(X1)))) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X1) ),
inference(resolution,[],[f15026,f4602]) ).
fof(f15062,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(powerset(X1))) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X1) ),
inference(resolution,[],[f15026,f646]) ).
fof(f15061,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15026,f147]) ).
fof(f15059,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_rng(relation_composition(X0,sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f15026,f188]) ).
fof(f15058,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_rng(relation_composition(X0,sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f15026,f190]) ).
fof(f15057,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15026,f149]) ).
fof(f15026,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_rng(relation_composition(X0,sK5)) ),
inference(resolution,[],[f15013,f147]) ).
fof(f15043,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(sK6(powerset(X1)))) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X1) ),
inference(resolution,[],[f15022,f4602]) ).
fof(f15042,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(powerset(X1))) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X1) ),
inference(resolution,[],[f15022,f646]) ).
fof(f15041,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15022,f147]) ).
fof(f15039,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_rng(relation_composition(X0,sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f15022,f188]) ).
fof(f15038,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_rng(relation_composition(X0,sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f15022,f190]) ).
fof(f15037,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f15022,f149]) ).
fof(f15022,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_rng(relation_composition(X0,sK5)) ),
inference(resolution,[],[f15013,f149]) ).
fof(f15028,plain,
! [X0,X1] :
( sK11(sK6(powerset(X1))) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f15013,f4602]) ).
fof(f15027,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK11(powerset(X1)) = relation_rng(relation_composition(X0,sK5)) ),
inference(resolution,[],[f15013,f646]) ).
fof(f15024,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f15013,f188]) ).
fof(f15023,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_rng(relation_composition(X0,sK5))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f15013,f190]) ).
fof(f15013,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_composition(X0,sK5)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f418,f132]) ).
fof(f15021,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,empty_set)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f15019,f228]) ).
fof(f15019,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,sK20)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f418,f214]) ).
fof(f15018,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,sK19)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f418,f211]) ).
fof(f15017,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,sK18)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f418,f209]) ).
fof(f15016,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,sK17)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f418,f208]) ).
fof(f15020,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,empty_set)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f15015,f227]) ).
fof(f15015,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,sK16)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f418,f207]) ).
fof(f15014,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,sK15)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f418,f205]) ).
fof(f15012,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(X0,relation_rng(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f418,f148]) ).
fof(f15011,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,empty_set)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f418,f138]) ).
fof(f15010,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,[],[f418,f189]) ).
fof(f15009,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,[],[f418,f191]) ).
fof(f15008,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,[],[f418,f196]) ).
fof(f15007,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(X0,function_inverse(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f418,f153]) ).
fof(f15006,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(X0,relation_dom(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f418,f150]) ).
fof(f15005,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(X0,X1)) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f418,f145]) ).
fof(f418,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| relation_rng(relation_composition(X1,X2)) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f284,f188]) ).
fof(f14986,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1469,f4602]) ).
fof(f14985,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1469,f646]) ).
fof(f14984,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1469,f147]) ).
fof(f14982,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1469,f188]) ).
fof(f14981,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1469,f190]) ).
fof(f14980,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1469,f149]) ).
fof(f1469,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),sK17) ),
inference(resolution,[],[f995,f147]) ).
fof(f14961,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1465,f4602]) ).
fof(f14960,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1465,f646]) ).
fof(f14959,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1465,f147]) ).
fof(f14957,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1465,f188]) ).
fof(f14956,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1465,f190]) ).
fof(f14955,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1465,f149]) ).
fof(f1465,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),sK17) ),
inference(resolution,[],[f995,f149]) ).
fof(f14936,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1450,f4602]) ).
fof(f14935,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1450,f646]) ).
fof(f14934,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1450,f147]) ).
fof(f14932,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1450,f188]) ).
fof(f14931,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1450,f190]) ).
fof(f14930,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1450,f149]) ).
fof(f1450,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),sK15) ),
inference(resolution,[],[f980,f147]) ).
fof(f14911,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1446,f4602]) ).
fof(f14910,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1446,f646]) ).
fof(f14909,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1446,f147]) ).
fof(f14907,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1446,f188]) ).
fof(f14906,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1446,f190]) ).
fof(f14905,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1446,f149]) ).
fof(f1446,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),sK15) ),
inference(resolution,[],[f980,f149]) ).
fof(f14886,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1431,f4602]) ).
fof(f14885,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1431,f646]) ).
fof(f14884,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1431,f147]) ).
fof(f14882,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1431,f188]) ).
fof(f14881,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1431,f190]) ).
fof(f14880,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1431,f149]) ).
fof(f1431,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),sK15) ),
inference(resolution,[],[f976,f147]) ).
fof(f14861,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1427,f4602]) ).
fof(f14860,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1427,f646]) ).
fof(f14859,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1427,f147]) ).
fof(f14857,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1427,f188]) ).
fof(f14856,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1427,f190]) ).
fof(f14855,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f1427,f149]) ).
fof(f1427,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),sK15) ),
inference(resolution,[],[f976,f149]) ).
fof(f14836,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1412,f4602]) ).
fof(f14835,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1412,f646]) ).
fof(f14834,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1412,f147]) ).
fof(f14832,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1412,f188]) ).
fof(f14831,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1412,f190]) ).
fof(f14830,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1412,f149]) ).
fof(f1412,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),empty_set) ),
inference(resolution,[],[f959,f147]) ).
fof(f14811,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1408,f4602]) ).
fof(f14810,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1408,f646]) ).
fof(f14809,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1408,f147]) ).
fof(f14807,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1408,f188]) ).
fof(f14806,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1408,f190]) ).
fof(f14805,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1408,f149]) ).
fof(f1408,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),empty_set) ),
inference(resolution,[],[f959,f149]) ).
fof(f14791,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(sK6(powerset(X1)))) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X1) ),
inference(resolution,[],[f14754,f4602]) ).
fof(f14790,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(powerset(X1))) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X1) ),
inference(resolution,[],[f14754,f646]) ).
fof(f14789,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f14754,f147]) ).
fof(f14787,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_rng(relation_composition(sK5,X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f14754,f188]) ).
fof(f14786,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_rng(relation_composition(sK5,X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f14754,f190]) ).
fof(f14785,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f14754,f149]) ).
fof(f14754,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_rng(relation_composition(sK5,X0)) ),
inference(resolution,[],[f14741,f147]) ).
fof(f14771,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(sK6(powerset(X1)))) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X1) ),
inference(resolution,[],[f14750,f4602]) ).
fof(f14770,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(powerset(X1))) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X1) ),
inference(resolution,[],[f14750,f646]) ).
fof(f14769,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f14750,f147]) ).
fof(f14767,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_rng(relation_composition(sK5,X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f14750,f188]) ).
fof(f14766,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_rng(relation_composition(sK5,X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f14750,f190]) ).
fof(f14765,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f14750,f149]) ).
fof(f14750,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_rng(relation_composition(sK5,X0)) ),
inference(resolution,[],[f14741,f149]) ).
fof(f14756,plain,
! [X0,X1] :
( sK11(sK6(powerset(X1))) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f14741,f4602]) ).
fof(f14755,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK11(powerset(X1)) = relation_rng(relation_composition(sK5,X0)) ),
inference(resolution,[],[f14741,f646]) ).
fof(f14752,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f14741,f188]) ).
fof(f14751,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_rng(relation_composition(sK5,X0))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f14741,f190]) ).
fof(f14741,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_composition(sK5,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f417,f132]) ).
fof(f14749,plain,
! [X0,X1] :
( relation_rng(relation_composition(empty_set,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f14747,f228]) ).
fof(f14747,plain,
! [X0,X1] :
( relation_rng(relation_composition(sK20,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f417,f214]) ).
fof(f14746,plain,
! [X0,X1] :
( relation_rng(relation_composition(sK19,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f417,f211]) ).
fof(f14745,plain,
! [X0,X1] :
( relation_rng(relation_composition(sK18,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f417,f209]) ).
fof(f14744,plain,
! [X0,X1] :
( relation_rng(relation_composition(sK17,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f417,f208]) ).
fof(f14748,plain,
! [X0,X1] :
( relation_rng(relation_composition(empty_set,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f14743,f227]) ).
fof(f14743,plain,
! [X0,X1] :
( relation_rng(relation_composition(sK16,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f417,f207]) ).
fof(f14742,plain,
! [X0,X1] :
( relation_rng(relation_composition(sK15,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f417,f205]) ).
fof(f14740,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(relation_rng(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f417,f148]) ).
fof(f14739,plain,
! [X0,X1] :
( relation_rng(relation_composition(empty_set,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f417,f138]) ).
fof(f14738,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,[],[f417,f189]) ).
fof(f14737,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,[],[f417,f191]) ).
fof(f14736,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,[],[f417,f196]) ).
fof(f14735,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(function_inverse(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f417,f153]) ).
fof(f14734,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(relation_dom(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f417,f150]) ).
fof(f14733,plain,
! [X2,X0,X1] :
( relation_rng(relation_composition(X0,X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f417,f145]) ).
fof(f417,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| relation_rng(relation_composition(X1,X2)) = X0
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f284,f190]) ).
fof(f14714,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1393,f4602]) ).
fof(f14713,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1393,f646]) ).
fof(f14712,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1393,f147]) ).
fof(f14710,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1393,f188]) ).
fof(f14709,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1393,f190]) ).
fof(f14708,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1393,f149]) ).
fof(f1393,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),empty_set) ),
inference(resolution,[],[f955,f147]) ).
fof(f14689,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1389,f4602]) ).
fof(f14688,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1389,f646]) ).
fof(f14687,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1389,f147]) ).
fof(f14685,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1389,f188]) ).
fof(f14684,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1389,f190]) ).
fof(f14683,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f1389,f149]) ).
fof(f1389,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),empty_set) ),
inference(resolution,[],[f955,f149]) ).
fof(f14664,plain,
! [X0] :
( empty_set = relation_dom(sK11(powerset(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f708,f4602]) ).
fof(f14663,plain,
! [X0] :
( empty_set = relation_dom(sK11(powerset(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f708,f646]) ).
fof(f14662,plain,
! [X0] :
( empty_set = relation_dom(sK11(powerset(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f708,f147]) ).
fof(f14660,plain,
! [X0,X1] :
( empty_set = relation_dom(sK11(powerset(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f708,f188]) ).
fof(f14659,plain,
! [X0,X1] :
( empty_set = relation_dom(sK11(powerset(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f708,f190]) ).
fof(f14658,plain,
! [X0] :
( empty_set = relation_dom(sK11(powerset(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f708,f149]) ).
fof(f708,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(sK11(powerset(relation_rng(X0)))) ),
inference(resolution,[],[f650,f147]) ).
fof(f14639,plain,
! [X0] :
( empty_set = relation_dom(sK11(powerset(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f704,f4602]) ).
fof(f14638,plain,
! [X0] :
( empty_set = relation_dom(sK11(powerset(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f704,f646]) ).
fof(f14637,plain,
! [X0] :
( empty_set = relation_dom(sK11(powerset(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f704,f147]) ).
fof(f14635,plain,
! [X0,X1] :
( empty_set = relation_dom(sK11(powerset(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f704,f188]) ).
fof(f14634,plain,
! [X0,X1] :
( empty_set = relation_dom(sK11(powerset(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f704,f190]) ).
fof(f14633,plain,
! [X0] :
( empty_set = relation_dom(sK11(powerset(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f704,f149]) ).
fof(f704,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(sK11(powerset(relation_dom(X0)))) ),
inference(resolution,[],[f650,f149]) ).
fof(f14614,plain,
! [X0] :
( empty_set = relation_rng(sK11(powerset(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f689,f4602]) ).
fof(f14613,plain,
! [X0] :
( empty_set = relation_rng(sK11(powerset(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f689,f646]) ).
fof(f14612,plain,
! [X0] :
( empty_set = relation_rng(sK11(powerset(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f689,f147]) ).
fof(f14610,plain,
! [X0,X1] :
( empty_set = relation_rng(sK11(powerset(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f689,f188]) ).
fof(f14609,plain,
! [X0,X1] :
( empty_set = relation_rng(sK11(powerset(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f689,f190]) ).
fof(f14608,plain,
! [X0] :
( empty_set = relation_rng(sK11(powerset(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f689,f149]) ).
fof(f689,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(sK11(powerset(relation_rng(X0)))) ),
inference(resolution,[],[f649,f147]) ).
fof(f14589,plain,
! [X0] :
( empty_set = relation_rng(sK11(powerset(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f685,f4602]) ).
fof(f14588,plain,
! [X0] :
( empty_set = relation_rng(sK11(powerset(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f685,f646]) ).
fof(f14587,plain,
! [X0] :
( empty_set = relation_rng(sK11(powerset(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f685,f147]) ).
fof(f14585,plain,
! [X0,X1] :
( empty_set = relation_rng(sK11(powerset(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f685,f188]) ).
fof(f14584,plain,
! [X0,X1] :
( empty_set = relation_rng(sK11(powerset(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f685,f190]) ).
fof(f14583,plain,
! [X0] :
( empty_set = relation_rng(sK11(powerset(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f685,f149]) ).
fof(f685,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(sK11(powerset(relation_dom(X0)))) ),
inference(resolution,[],[f649,f149]) ).
fof(f14569,plain,
! [X0] :
( empty_set = sK11(powerset(sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f670,f4602]) ).
fof(f14568,plain,
! [X0] :
( empty_set = sK11(powerset(sK11(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f670,f646]) ).
fof(f14567,plain,
! [X0] :
( empty_set = sK11(powerset(sK11(powerset(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f670,f147]) ).
fof(f14565,plain,
! [X0,X1] :
( empty_set = sK11(powerset(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f670,f188]) ).
fof(f14564,plain,
! [X0,X1] :
( empty_set = sK11(powerset(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f670,f190]) ).
fof(f14563,plain,
! [X0] :
( empty_set = sK11(powerset(sK11(powerset(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f670,f149]) ).
fof(f670,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(powerset(sK11(powerset(X0)))) ),
inference(resolution,[],[f647,f646]) ).
fof(f14539,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f599,f4602]) ).
fof(f14538,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f599,f646]) ).
fof(f14537,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f599,f147]) ).
fof(f14535,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f599,f188]) ).
fof(f14534,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f599,f190]) ).
fof(f14533,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f599,f149]) ).
fof(f599,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f345,f147]) ).
fof(f14519,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(sK6(powerset(X1)))) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X1) ),
inference(resolution,[],[f14482,f4602]) ).
fof(f14518,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(powerset(X1))) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X1) ),
inference(resolution,[],[f14482,f646]) ).
fof(f14517,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f14482,f147]) ).
fof(f14515,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_dom(relation_composition(X0,sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f14482,f188]) ).
fof(f14514,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_dom(relation_composition(X0,sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f14482,f190]) ).
fof(f14513,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f14482,f149]) ).
fof(f14482,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_dom(relation_composition(X0,sK5)) ),
inference(resolution,[],[f14469,f147]) ).
fof(f14499,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(sK6(powerset(X1)))) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X1) ),
inference(resolution,[],[f14478,f4602]) ).
fof(f14498,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(powerset(X1))) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X1) ),
inference(resolution,[],[f14478,f646]) ).
fof(f14497,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f14478,f147]) ).
fof(f14495,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_dom(relation_composition(X0,sK5))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f14478,f188]) ).
fof(f14494,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_dom(relation_composition(X0,sK5))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f14478,f190]) ).
fof(f14493,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0) ),
inference(resolution,[],[f14478,f149]) ).
fof(f14478,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_dom(relation_composition(X0,sK5)) ),
inference(resolution,[],[f14469,f149]) ).
fof(f14484,plain,
! [X0,X1] :
( sK11(sK6(powerset(X1))) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f14469,f4602]) ).
fof(f14483,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK11(powerset(X1)) = relation_dom(relation_composition(X0,sK5)) ),
inference(resolution,[],[f14469,f646]) ).
fof(f14480,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f14469,f188]) ).
fof(f14479,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_dom(relation_composition(X0,sK5))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f14469,f190]) ).
fof(f14469,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(X0,sK5)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f400,f132]) ).
fof(f14477,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,empty_set)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f14475,f228]) ).
fof(f14475,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,sK20)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f400,f214]) ).
fof(f14474,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,sK19)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f400,f211]) ).
fof(f14473,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,sK18)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f400,f209]) ).
fof(f14472,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,sK17)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f400,f208]) ).
fof(f14476,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,empty_set)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f14471,f227]) ).
fof(f14471,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,sK16)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f400,f207]) ).
fof(f14470,plain,
! [X0,X1] :
( relation_dom(relation_composition(X0,sK15)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f400,f205]) ).
fof(f14468,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(X0,relation_rng(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f400,f148]) ).
fof(f14467,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(X0,empty_set)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f400,f138]) ).
fof(f14466,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,[],[f400,f189]) ).
fof(f14465,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,[],[f400,f191]) ).
fof(f14464,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,[],[f400,f196]) ).
fof(f14463,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(X0,function_inverse(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f400,f153]) ).
fof(f14462,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(X0,relation_dom(X1))) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f400,f150]) ).
fof(f14461,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(X0,X1)) = X2
| ~ empty(X2)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f400,f145]) ).
fof(f400,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| relation_dom(relation_composition(X1,X2)) = X0
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f282,f188]) ).
fof(f14437,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f595,f4602]) ).
fof(f14436,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f595,f646]) ).
fof(f14435,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f595,f147]) ).
fof(f14433,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f595,f188]) ).
fof(f14432,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f595,f190]) ).
fof(f14431,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f595,f149]) ).
fof(f595,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f345,f149]) ).
fof(f14407,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f576,f4602]) ).
fof(f14406,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f576,f646]) ).
fof(f14405,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f576,f147]) ).
fof(f14403,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f576,f188]) ).
fof(f14402,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f576,f190]) ).
fof(f14401,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f576,f149]) ).
fof(f576,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f343,f147]) ).
fof(f14377,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f572,f4602]) ).
fof(f14376,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f572,f646]) ).
fof(f14375,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f572,f147]) ).
fof(f14373,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f572,f188]) ).
fof(f14372,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f572,f190]) ).
fof(f14371,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f572,f149]) ).
fof(f572,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f343,f149]) ).
fof(f14347,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f553,f4602]) ).
fof(f14346,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f553,f646]) ).
fof(f14345,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f553,f147]) ).
fof(f14343,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f553,f188]) ).
fof(f14342,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f553,f190]) ).
fof(f14341,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f553,f149]) ).
fof(f553,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f329,f147]) ).
fof(f14317,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f549,f4602]) ).
fof(f14316,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f549,f646]) ).
fof(f14315,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f549,f147]) ).
fof(f14313,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f549,f188]) ).
fof(f14312,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f549,f190]) ).
fof(f14311,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f549,f149]) ).
fof(f549,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f329,f149]) ).
fof(f14287,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f530,f4602]) ).
fof(f14286,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f530,f646]) ).
fof(f14285,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f530,f147]) ).
fof(f14283,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f530,f188]) ).
fof(f14282,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f530,f190]) ).
fof(f14281,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f530,f149]) ).
fof(f530,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f327,f147]) ).
fof(f14257,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f526,f4602]) ).
fof(f14256,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f526,f646]) ).
fof(f14255,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f526,f147]) ).
fof(f14253,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f526,f188]) ).
fof(f14252,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f526,f190]) ).
fof(f14251,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f526,f149]) ).
fof(f526,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f327,f149]) ).
fof(f14227,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f507,f4602]) ).
fof(f14226,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f507,f646]) ).
fof(f14225,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f507,f147]) ).
fof(f14223,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f507,f188]) ).
fof(f14222,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f507,f190]) ).
fof(f14221,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f507,f149]) ).
fof(f507,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f313,f147]) ).
fof(f14207,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(sK6(powerset(X1)))) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X1) ),
inference(resolution,[],[f14170,f4602]) ).
fof(f14206,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(powerset(X1))) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X1) ),
inference(resolution,[],[f14170,f646]) ).
fof(f14205,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f14170,f147]) ).
fof(f14203,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_dom(relation_composition(sK5,X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f14170,f188]) ).
fof(f14202,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_dom(relation_composition(sK5,X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f14170,f190]) ).
fof(f14201,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f14170,f149]) ).
fof(f14170,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_dom(relation_composition(sK5,X0)) ),
inference(resolution,[],[f14157,f147]) ).
fof(f14187,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(sK6(powerset(X1)))) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X1) ),
inference(resolution,[],[f14166,f4602]) ).
fof(f14186,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_dom(sK11(powerset(X1))) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X1) ),
inference(resolution,[],[f14166,f646]) ).
fof(f14185,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f14166,f147]) ).
fof(f14183,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_dom(relation_composition(sK5,X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f14166,f188]) ).
fof(f14182,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_dom(relation_composition(sK5,X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f14166,f190]) ).
fof(f14181,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0) ),
inference(resolution,[],[f14166,f149]) ).
fof(f14166,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_dom(relation_composition(sK5,X0)) ),
inference(resolution,[],[f14157,f149]) ).
fof(f14172,plain,
! [X0,X1] :
( sK11(sK6(powerset(X1))) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f14157,f4602]) ).
fof(f14171,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK11(powerset(X1)) = relation_dom(relation_composition(sK5,X0)) ),
inference(resolution,[],[f14157,f646]) ).
fof(f14168,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f14157,f188]) ).
fof(f14167,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_dom(relation_composition(sK5,X0))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f14157,f190]) ).
fof(f14157,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(sK5,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f399,f132]) ).
fof(f14165,plain,
! [X0,X1] :
( relation_dom(relation_composition(empty_set,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f14163,f228]) ).
fof(f14163,plain,
! [X0,X1] :
( relation_dom(relation_composition(sK20,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f399,f214]) ).
fof(f14162,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(sK19,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f399,f211]) ).
fof(f14161,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(sK18,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f399,f209]) ).
fof(f14160,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(sK17,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f399,f208]) ).
fof(f14164,plain,
! [X0,X1] :
( relation_dom(relation_composition(empty_set,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f14159,f227]) ).
fof(f14159,plain,
! [X0,X1] :
( relation_dom(relation_composition(sK16,X0)) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f399,f207]) ).
fof(f14158,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(sK15,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f399,f205]) ).
fof(f14156,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(relation_rng(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f399,f148]) ).
fof(f14155,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_composition(empty_set,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f399,f138]) ).
fof(f14154,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,[],[f399,f189]) ).
fof(f14153,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,[],[f399,f191]) ).
fof(f14152,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,[],[f399,f196]) ).
fof(f14151,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(function_inverse(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f399,f153]) ).
fof(f14150,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(relation_dom(X0),X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f399,f150]) ).
fof(f14149,plain,
! [X2,X0,X1] :
( relation_dom(relation_composition(X0,X1)) = X2
| ~ empty(X2)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f399,f145]) ).
fof(f399,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| relation_dom(relation_composition(X1,X2)) = X0
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f282,f190]) ).
fof(f14125,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f503,f4602]) ).
fof(f14124,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f503,f646]) ).
fof(f14123,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f503,f147]) ).
fof(f14121,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f503,f188]) ).
fof(f14120,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f503,f190]) ).
fof(f14119,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f503,f149]) ).
fof(f503,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f313,f149]) ).
fof(f14095,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f484,f4602]) ).
fof(f14094,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f484,f646]) ).
fof(f14093,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f484,f147]) ).
fof(f14091,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f484,f188]) ).
fof(f14090,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f484,f190]) ).
fof(f14089,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f484,f149]) ).
fof(f484,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f311,f147]) ).
fof(f14065,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f480,f4602]) ).
fof(f14064,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f480,f646]) ).
fof(f14063,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f480,f147]) ).
fof(f14061,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f480,f188]) ).
fof(f14060,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f480,f190]) ).
fof(f14059,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f480,f149]) ).
fof(f480,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f311,f149]) ).
fof(f14035,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f461,f4602]) ).
fof(f14034,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f461,f646]) ).
fof(f14033,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f461,f147]) ).
fof(f14031,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f461,f188]) ).
fof(f14030,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f461,f190]) ).
fof(f14029,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f461,f149]) ).
fof(f461,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f297,f147]) ).
fof(f14005,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f457,f4602]) ).
fof(f14004,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f457,f646]) ).
fof(f14003,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f457,f147]) ).
fof(f14001,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f457,f188]) ).
fof(f14000,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f457,f190]) ).
fof(f13999,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f457,f149]) ).
fof(f457,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f297,f149]) ).
fof(f13975,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f438,f4602]) ).
fof(f13974,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f438,f646]) ).
fof(f13973,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f438,f147]) ).
fof(f13971,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f438,f188]) ).
fof(f13970,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f438,f190]) ).
fof(f13969,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f438,f149]) ).
fof(f438,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f295,f147]) ).
fof(f13945,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f434,f4602]) ).
fof(f13944,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f434,f646]) ).
fof(f13943,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f434,f147]) ).
fof(f13941,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f434,f188]) ).
fof(f13940,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f434,f190]) ).
fof(f13939,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f434,f149]) ).
fof(f434,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f295,f149]) ).
fof(f13936,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(relation_rng(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0) ),
inference(resolution,[],[f13233,f1487]) ).
fof(f13233,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ empty(relation_dom(X1))
| empty(relation_rng(X1)) ),
inference(resolution,[],[f5257,f363]) ).
fof(f13934,plain,
! [X0] :
( element(sK11(sK6(sK6(sK11(sK6(powerset(X0)))))),X0)
| empty(sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4062,f4970]) ).
fof(f13933,plain,
! [X0] :
( element(sK11(sK6(sK11(sK6(powerset(X0))))),X0)
| empty(sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4062,f4061]) ).
fof(f13932,plain,
! [X0] :
( element(sK11(sK11(sK6(powerset(X0)))),X0)
| empty(sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4062,f363]) ).
fof(f4062,plain,
! [X0,X1] :
( ~ in(X1,sK11(sK6(powerset(X0))))
| element(X1,X0) ),
inference(subsumption_resolution,[],[f4059,f141]) ).
fof(f4059,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4050,f200]) ).
fof(f13918,plain,
! [X0] :
( empty_set = relation_composition(sK19,sK11(powerset(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4040,f4602]) ).
fof(f13917,plain,
! [X0] :
( empty_set = relation_composition(sK19,sK11(powerset(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f4040,f646]) ).
fof(f13916,plain,
! [X0] :
( empty_set = relation_composition(sK19,sK11(powerset(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f4040,f147]) ).
fof(f13914,plain,
! [X0,X1] :
( empty_set = relation_composition(sK19,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4040,f188]) ).
fof(f13913,plain,
! [X0,X1] :
( empty_set = relation_composition(sK19,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4040,f190]) ).
fof(f13912,plain,
! [X0] :
( empty_set = relation_composition(sK19,sK11(powerset(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f4040,f149]) ).
fof(f4040,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK19,sK11(powerset(X0))) ),
inference(resolution,[],[f3775,f646]) ).
fof(f13898,plain,
! [X0] :
( empty_set = relation_composition(sK18,sK11(powerset(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4019,f4602]) ).
fof(f13897,plain,
! [X0] :
( empty_set = relation_composition(sK18,sK11(powerset(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f4019,f646]) ).
fof(f13896,plain,
! [X0] :
( empty_set = relation_composition(sK18,sK11(powerset(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f4019,f147]) ).
fof(f13894,plain,
! [X0,X1] :
( empty_set = relation_composition(sK18,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4019,f188]) ).
fof(f13893,plain,
! [X0,X1] :
( empty_set = relation_composition(sK18,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4019,f190]) ).
fof(f13892,plain,
! [X0] :
( empty_set = relation_composition(sK18,sK11(powerset(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f4019,f149]) ).
fof(f4019,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,sK11(powerset(X0))) ),
inference(resolution,[],[f3774,f646]) ).
fof(f13878,plain,
! [X0] :
( empty_set = relation_composition(sK17,sK11(powerset(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3997,f4602]) ).
fof(f13877,plain,
! [X0] :
( empty_set = relation_composition(sK17,sK11(powerset(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f3997,f646]) ).
fof(f13876,plain,
! [X0] :
( empty_set = relation_composition(sK17,sK11(powerset(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3997,f147]) ).
fof(f13874,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3997,f188]) ).
fof(f13873,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3997,f190]) ).
fof(f13872,plain,
! [X0] :
( empty_set = relation_composition(sK17,sK11(powerset(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3997,f149]) ).
fof(f3997,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,sK11(powerset(X0))) ),
inference(resolution,[],[f3773,f646]) ).
fof(f13858,plain,
! [X0] :
( empty_set = relation_composition(sK15,sK11(powerset(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3976,f4602]) ).
fof(f13857,plain,
! [X0] :
( empty_set = relation_composition(sK15,sK11(powerset(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f3976,f646]) ).
fof(f13856,plain,
! [X0] :
( empty_set = relation_composition(sK15,sK11(powerset(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3976,f147]) ).
fof(f13854,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3976,f188]) ).
fof(f13853,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3976,f190]) ).
fof(f13852,plain,
! [X0] :
( empty_set = relation_composition(sK15,sK11(powerset(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3976,f149]) ).
fof(f3976,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,sK11(powerset(X0))) ),
inference(resolution,[],[f3771,f646]) ).
fof(f13838,plain,
! [X0] :
( empty_set = relation_composition(empty_set,sK11(powerset(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3962,f4602]) ).
fof(f13837,plain,
! [X0] :
( empty_set = relation_composition(empty_set,sK11(powerset(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f3962,f646]) ).
fof(f13836,plain,
! [X0] :
( empty_set = relation_composition(empty_set,sK11(powerset(relation_rng(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3962,f147]) ).
fof(f13834,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3962,f188]) ).
fof(f13833,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3962,f190]) ).
fof(f13832,plain,
! [X0] :
( empty_set = relation_composition(empty_set,sK11(powerset(relation_dom(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3962,f149]) ).
fof(f3962,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,sK11(powerset(X0))) ),
inference(resolution,[],[f3768,f646]) ).
fof(f13818,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1038,f4602]) ).
fof(f13817,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(powerset(X0)))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1038,f646]) ).
fof(f13816,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_rng(X0))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1038,f147]) ).
fof(f13814,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),sK19)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1038,f188]) ).
fof(f13813,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),sK19)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1038,f190]) ).
fof(f13812,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_dom(X0))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1038,f149]) ).
fof(f1038,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),sK19) ),
inference(resolution,[],[f774,f646]) ).
fof(f13798,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1019,f4602]) ).
fof(f13797,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(powerset(X0)))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1019,f646]) ).
fof(f13796,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_rng(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1019,f147]) ).
fof(f13794,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),sK18)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1019,f188]) ).
fof(f13793,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),sK18)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1019,f190]) ).
fof(f13792,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_dom(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1019,f149]) ).
fof(f1019,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),sK18) ),
inference(resolution,[],[f773,f646]) ).
fof(f13778,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1000,f4602]) ).
fof(f13777,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(powerset(X0)))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1000,f646]) ).
fof(f13776,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_rng(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1000,f147]) ).
fof(f13774,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1000,f188]) ).
fof(f13773,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1000,f190]) ).
fof(f13772,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_dom(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f1000,f149]) ).
fof(f1000,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),sK17) ),
inference(resolution,[],[f772,f646]) ).
fof(f13758,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f981,f4602]) ).
fof(f13757,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(powerset(X0)))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f981,f646]) ).
fof(f13756,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_rng(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f981,f147]) ).
fof(f13754,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f981,f188]) ).
fof(f13753,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f981,f190]) ).
fof(f13752,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_dom(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f981,f149]) ).
fof(f981,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),sK15) ),
inference(resolution,[],[f770,f646]) ).
fof(f13738,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f960,f4602]) ).
fof(f13737,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(powerset(X0)))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f960,f646]) ).
fof(f13736,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_rng(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f960,f147]) ).
fof(f13734,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f960,f188]) ).
fof(f13733,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f960,f190]) ).
fof(f13732,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_dom(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f960,f149]) ).
fof(f960,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),empty_set) ),
inference(resolution,[],[f767,f646]) ).
fof(f13713,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f654,f4602]) ).
fof(f13712,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(sK11(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f654,f646]) ).
fof(f13711,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(sK11(powerset(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f654,f147]) ).
fof(f13709,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f654,f188]) ).
fof(f13708,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f654,f190]) ).
fof(f13707,plain,
! [X0] :
( empty_set = relation_dom(relation_rng(sK11(powerset(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f654,f149]) ).
fof(f654,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(sK11(powerset(X0)))) ),
inference(resolution,[],[f646,f258]) ).
fof(f13678,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11636,f4602]) ).
fof(f13677,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11636,f646]) ).
fof(f13676,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11636,f147]) ).
fof(f13674,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,[],[f11636,f188]) ).
fof(f13673,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,[],[f11636,f190]) ).
fof(f13672,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11636,f149]) ).
fof(f11636,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f11496,f147]) ).
fof(f13643,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11632,f4602]) ).
fof(f13642,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11632,f646]) ).
fof(f13641,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11632,f147]) ).
fof(f13639,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,[],[f11632,f188]) ).
fof(f13638,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,[],[f11632,f190]) ).
fof(f13637,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11632,f149]) ).
fof(f11632,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f11496,f149]) ).
fof(f13628,plain,
! [X2,X0,X1] :
( relation_composition(X0,X1) = sK11(sK6(powerset(X2)))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4604,f4602]) ).
fof(f13627,plain,
! [X2,X0,X1] :
( relation_composition(X0,X1) = sK11(powerset(X2))
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4604,f646]) ).
fof(f13626,plain,
! [X2,X0,X1] :
( relation_composition(X0,X1) = relation_rng(X2)
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4604,f147]) ).
fof(f13624,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,X1) = relation_composition(X2,X3)
| ~ empty(X0)
| ~ empty(X1)
| ~ relation(X3)
| ~ empty(X2) ),
inference(resolution,[],[f4604,f188]) ).
fof(f13623,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,X1) = relation_composition(X2,X3)
| ~ empty(X0)
| ~ empty(X1)
| ~ relation(X2)
| ~ empty(X3) ),
inference(resolution,[],[f4604,f190]) ).
fof(f13622,plain,
! [X2,X0,X1] :
( relation_composition(X0,X1) = relation_dom(X2)
| ~ empty(X0)
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4604,f149]) ).
fof(f4604,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| relation_composition(X0,X1) = X2
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f377,f145]) ).
fof(f13593,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11606,f4602]) ).
fof(f13592,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11606,f646]) ).
fof(f13591,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11606,f147]) ).
fof(f13589,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,[],[f11606,f188]) ).
fof(f13588,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,[],[f11606,f190]) ).
fof(f13587,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11606,f149]) ).
fof(f11606,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f11492,f147]) ).
fof(f13558,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11602,f4602]) ).
fof(f13557,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11602,f646]) ).
fof(f13556,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11602,f147]) ).
fof(f13554,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,[],[f11602,f188]) ).
fof(f13553,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,[],[f11602,f190]) ).
fof(f13552,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11602,f149]) ).
fof(f11602,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f11492,f149]) ).
fof(f13523,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11576,f4602]) ).
fof(f13522,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11576,f646]) ).
fof(f13521,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11576,f147]) ).
fof(f13519,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,[],[f11576,f188]) ).
fof(f13518,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,[],[f11576,f190]) ).
fof(f13517,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11576,f149]) ).
fof(f11576,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f11471,f147]) ).
fof(f13488,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11572,f4602]) ).
fof(f13487,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11572,f646]) ).
fof(f13486,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11572,f147]) ).
fof(f13484,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,[],[f11572,f188]) ).
fof(f13483,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,[],[f11572,f190]) ).
fof(f13482,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11572,f149]) ).
fof(f11572,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f11471,f149]) ).
fof(f13453,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11546,f4602]) ).
fof(f13452,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11546,f646]) ).
fof(f13451,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11546,f147]) ).
fof(f13449,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,[],[f11546,f188]) ).
fof(f13448,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,[],[f11546,f190]) ).
fof(f13447,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11546,f149]) ).
fof(f11546,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f11467,f147]) ).
fof(f13418,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11542,f4602]) ).
fof(f13417,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11542,f646]) ).
fof(f13416,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11542,f147]) ).
fof(f13414,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,[],[f11542,f188]) ).
fof(f13413,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,[],[f11542,f190]) ).
fof(f13412,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11542,f149]) ).
fof(f11542,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f11467,f149]) ).
fof(f13383,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11364,f4602]) ).
fof(f13382,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11364,f646]) ).
fof(f13381,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11364,f147]) ).
fof(f13379,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,[],[f11364,f188]) ).
fof(f13378,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,[],[f11364,f190]) ).
fof(f13377,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11364,f149]) ).
fof(f11364,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f11224,f147]) ).
fof(f13348,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11360,f4602]) ).
fof(f13347,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11360,f646]) ).
fof(f13346,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11360,f147]) ).
fof(f13344,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,[],[f11360,f188]) ).
fof(f13343,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,[],[f11360,f190]) ).
fof(f13342,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11360,f149]) ).
fof(f11360,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f11224,f149]) ).
fof(f13313,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11334,f4602]) ).
fof(f13312,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11334,f646]) ).
fof(f13311,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11334,f147]) ).
fof(f13309,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,[],[f11334,f188]) ).
fof(f13308,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,[],[f11334,f190]) ).
fof(f13307,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11334,f149]) ).
fof(f11334,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f11220,f147]) ).
fof(f13278,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11330,f4602]) ).
fof(f13277,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11330,f646]) ).
fof(f13276,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11330,f147]) ).
fof(f13274,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,[],[f11330,f188]) ).
fof(f13273,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,[],[f11330,f190]) ).
fof(f13272,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11330,f149]) ).
fof(f11330,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f11220,f149]) ).
fof(f13243,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11304,f4602]) ).
fof(f13242,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11304,f646]) ).
fof(f13241,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11304,f147]) ).
fof(f13239,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,[],[f11304,f188]) ).
fof(f13238,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,[],[f11304,f190]) ).
fof(f13237,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11304,f149]) ).
fof(f11304,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f11199,f147]) ).
fof(f13235,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ empty(relation_dom(X1))
| empty(relation_rng(X1)) ),
inference(resolution,[],[f5257,f4970]) ).
fof(f13234,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ empty(relation_dom(X1))
| empty(relation_rng(X1)) ),
inference(resolution,[],[f5257,f4061]) ).
fof(f13232,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| ~ empty(relation_dom(X1))
| sP1(X2,X1)
| relation_rng(X1) != relation_dom(X2)
| sK7(X2,X1) = apply(X1,sK8(X2,X1)) ),
inference(resolution,[],[f5257,f3049]) ).
fof(f5257,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ sP1(X2,X1)
| ~ empty(relation_dom(X1)) ),
inference(resolution,[],[f1729,f199]) ).
fof(f13203,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11300,f4602]) ).
fof(f13202,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11300,f646]) ).
fof(f13201,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11300,f147]) ).
fof(f13199,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,[],[f11300,f188]) ).
fof(f13198,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,[],[f11300,f190]) ).
fof(f13197,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11300,f149]) ).
fof(f11300,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f11199,f149]) ).
fof(f13168,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11274,f4602]) ).
fof(f13167,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11274,f646]) ).
fof(f13166,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11274,f147]) ).
fof(f13164,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,[],[f11274,f188]) ).
fof(f13163,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,[],[f11274,f190]) ).
fof(f13162,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11274,f149]) ).
fof(f11274,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f11195,f147]) ).
fof(f13133,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11270,f4602]) ).
fof(f13132,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11270,f646]) ).
fof(f13131,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11270,f147]) ).
fof(f13129,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,[],[f11270,f188]) ).
fof(f13128,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,[],[f11270,f190]) ).
fof(f13127,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11270,f149]) ).
fof(f11270,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f11195,f149]) ).
fof(f13098,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11092,f4602]) ).
fof(f13097,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_rng(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11092,f646]) ).
fof(f13096,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11092,f147]) ).
fof(f13094,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,[],[f11092,f188]) ).
fof(f13093,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,[],[f11092,f190]) ).
fof(f13092,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11092,f149]) ).
fof(f11092,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f10952,f147]) ).
fof(f13063,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11088,f4602]) ).
fof(f13062,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_dom(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11088,f646]) ).
fof(f13061,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11088,f147]) ).
fof(f13059,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,[],[f11088,f188]) ).
fof(f13058,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,[],[f11088,f190]) ).
fof(f13057,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11088,f149]) ).
fof(f11088,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f10952,f149]) ).
fof(f13028,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11062,f4602]) ).
fof(f13027,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_rng(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11062,f646]) ).
fof(f13026,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11062,f147]) ).
fof(f13024,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,[],[f11062,f188]) ).
fof(f13023,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,[],[f11062,f190]) ).
fof(f13022,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11062,f149]) ).
fof(f11062,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f10948,f147]) ).
fof(f12993,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11058,f4602]) ).
fof(f12992,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_dom(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11058,f646]) ).
fof(f12991,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11058,f147]) ).
fof(f12989,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,[],[f11058,f188]) ).
fof(f12988,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,[],[f11058,f190]) ).
fof(f12987,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11058,f149]) ).
fof(f11058,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f10948,f149]) ).
fof(f12958,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11032,f4602]) ).
fof(f12957,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_rng(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11032,f646]) ).
fof(f12956,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11032,f147]) ).
fof(f12954,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,[],[f11032,f188]) ).
fof(f12953,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,[],[f11032,f190]) ).
fof(f12952,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11032,f149]) ).
fof(f11032,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f10927,f147]) ).
fof(f12923,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11028,f4602]) ).
fof(f12922,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_dom(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11028,f646]) ).
fof(f12921,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11028,f147]) ).
fof(f12919,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,[],[f11028,f188]) ).
fof(f12918,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,[],[f11028,f190]) ).
fof(f12917,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11028,f149]) ).
fof(f11028,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f10927,f149]) ).
fof(f12888,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11002,f4602]) ).
fof(f12887,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_rng(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11002,f646]) ).
fof(f12886,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11002,f147]) ).
fof(f12884,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,[],[f11002,f188]) ).
fof(f12883,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,[],[f11002,f190]) ).
fof(f12882,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f11002,f149]) ).
fof(f11002,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f10923,f147]) ).
fof(f12853,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10998,f4602]) ).
fof(f12852,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_dom(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10998,f646]) ).
fof(f12851,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10998,f147]) ).
fof(f12849,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,[],[f10998,f188]) ).
fof(f12848,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,[],[f10998,f190]) ).
fof(f12847,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10998,f149]) ).
fof(f10998,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f10923,f149]) ).
fof(f12833,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3769,f4602]) ).
fof(f12832,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(sK11(powerset(X0))),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3769,f646]) ).
fof(f12831,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(X0)),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3769,f147]) ).
fof(f12829,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3769,f188]) ).
fof(f12828,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3769,f190]) ).
fof(f12827,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(X0)),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3769,f149]) ).
fof(f3769,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_rng(X1),X0)
| ~ empty(X0) ),
inference(resolution,[],[f384,f148]) ).
fof(f12798,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10800,f4602]) ).
fof(f12797,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_rng(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10800,f646]) ).
fof(f12796,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10800,f147]) ).
fof(f12794,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,[],[f10800,f188]) ).
fof(f12793,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,[],[f10800,f190]) ).
fof(f12792,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10800,f149]) ).
fof(f10800,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f10660,f147]) ).
fof(f12763,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10796,f4602]) ).
fof(f12762,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_dom(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10796,f646]) ).
fof(f12761,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10796,f147]) ).
fof(f12759,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,[],[f10796,f188]) ).
fof(f12758,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,[],[f10796,f190]) ).
fof(f12757,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10796,f149]) ).
fof(f10796,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f10660,f149]) ).
fof(f12728,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10770,f4602]) ).
fof(f12727,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_rng(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10770,f646]) ).
fof(f12726,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10770,f147]) ).
fof(f12724,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,[],[f10770,f188]) ).
fof(f12723,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,[],[f10770,f190]) ).
fof(f12722,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10770,f149]) ).
fof(f10770,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f10656,f147]) ).
fof(f12693,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10766,f4602]) ).
fof(f12692,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_dom(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10766,f646]) ).
fof(f12691,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10766,f147]) ).
fof(f12689,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,[],[f10766,f188]) ).
fof(f12688,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,[],[f10766,f190]) ).
fof(f12687,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10766,f149]) ).
fof(f10766,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f10656,f149]) ).
fof(f12658,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10740,f4602]) ).
fof(f12657,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_rng(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10740,f646]) ).
fof(f12656,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10740,f147]) ).
fof(f12654,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,[],[f10740,f188]) ).
fof(f12653,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,[],[f10740,f190]) ).
fof(f12652,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10740,f149]) ).
fof(f10740,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f10635,f147]) ).
fof(f12623,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10736,f4602]) ).
fof(f12622,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_dom(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10736,f646]) ).
fof(f12621,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10736,f147]) ).
fof(f12619,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,[],[f10736,f188]) ).
fof(f12618,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,[],[f10736,f190]) ).
fof(f12617,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10736,f149]) ).
fof(f10736,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f10635,f149]) ).
fof(f12588,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10710,f4602]) ).
fof(f12587,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_rng(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10710,f646]) ).
fof(f12586,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10710,f147]) ).
fof(f12584,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,[],[f10710,f188]) ).
fof(f12583,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,[],[f10710,f190]) ).
fof(f12582,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10710,f149]) ).
fof(f10710,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f10631,f147]) ).
fof(f12553,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10706,f4602]) ).
fof(f12552,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_dom(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10706,f646]) ).
fof(f12551,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10706,f147]) ).
fof(f12549,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,[],[f10706,f188]) ).
fof(f12548,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,[],[f10706,f190]) ).
fof(f12547,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10706,f149]) ).
fof(f10706,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f10631,f149]) ).
fof(f12523,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11521,f4602]) ).
fof(f12522,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11521,f646]) ).
fof(f12521,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11521,f147]) ).
fof(f12519,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11521,f188]) ).
fof(f12518,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11521,f190]) ).
fof(f12517,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11521,f149]) ).
fof(f11521,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_rng(X0))))) ),
inference(resolution,[],[f11452,f147]) ).
fof(f12493,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11517,f4602]) ).
fof(f12492,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11517,f646]) ).
fof(f12491,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11517,f147]) ).
fof(f12489,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11517,f188]) ).
fof(f12488,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11517,f190]) ).
fof(f12487,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11517,f149]) ).
fof(f11517,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_dom(X0))))) ),
inference(resolution,[],[f11452,f149]) ).
fof(f12463,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(sK11(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11497,f4602]) ).
fof(f12462,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(sK11(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11497,f646]) ).
fof(f12461,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(sK11(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11497,f147]) ).
fof(f12459,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11497,f188]) ).
fof(f12458,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11497,f190]) ).
fof(f12457,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(sK11(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11497,f149]) ).
fof(f11497,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(sK11(powerset(X0))))) ),
inference(resolution,[],[f11451,f646]) ).
fof(f12443,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3763,f4602]) ).
fof(f12442,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(sK11(powerset(X0))),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3763,f646]) ).
fof(f12441,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(X0)),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3763,f147]) ).
fof(f12439,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3763,f188]) ).
fof(f12438,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3763,f190]) ).
fof(f12437,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(X0)),X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3763,f149]) ).
fof(f3763,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_dom(X1),X0)
| ~ empty(X0) ),
inference(resolution,[],[f384,f150]) ).
fof(f12413,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(sK11(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11472,f4602]) ).
fof(f12412,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(sK11(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11472,f646]) ).
fof(f12411,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(sK11(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11472,f147]) ).
fof(f12409,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11472,f188]) ).
fof(f12408,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11472,f190]) ).
fof(f12407,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(sK11(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11472,f149]) ).
fof(f11472,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(sK11(powerset(X0))))) ),
inference(resolution,[],[f11447,f646]) ).
fof(f12393,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(sK6(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11453,f4602]) ).
fof(f12392,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(sK6(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11453,f646]) ).
fof(f12391,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(sK6(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11453,f147]) ).
fof(f12389,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,sK11(sK6(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11453,f188]) ).
fof(f12388,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,sK11(sK6(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11453,f190]) ).
fof(f12387,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(sK6(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11453,f149]) ).
fof(f11453,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f11438,f4602]) ).
fof(f12363,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11249,f4602]) ).
fof(f12362,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11249,f646]) ).
fof(f12361,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11249,f147]) ).
fof(f12359,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11249,f188]) ).
fof(f12358,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11249,f190]) ).
fof(f12357,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11249,f149]) ).
fof(f11249,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_rng(X0))))) ),
inference(resolution,[],[f11180,f147]) ).
fof(f12333,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11245,f4602]) ).
fof(f12332,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11245,f646]) ).
fof(f12331,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11245,f147]) ).
fof(f12329,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11245,f188]) ).
fof(f12328,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11245,f190]) ).
fof(f12327,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11245,f149]) ).
fof(f11245,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_dom(X0))))) ),
inference(resolution,[],[f11180,f149]) ).
fof(f12303,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(sK11(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11225,f4602]) ).
fof(f12302,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(sK11(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11225,f646]) ).
fof(f12301,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(sK11(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11225,f147]) ).
fof(f12299,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11225,f188]) ).
fof(f12298,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11225,f190]) ).
fof(f12297,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(sK11(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11225,f149]) ).
fof(f11225,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(sK11(powerset(X0))))) ),
inference(resolution,[],[f11179,f646]) ).
fof(f12273,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(sK11(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11200,f4602]) ).
fof(f12272,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(sK11(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11200,f646]) ).
fof(f12271,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(sK11(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11200,f147]) ).
fof(f12269,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11200,f188]) ).
fof(f12268,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11200,f190]) ).
fof(f12267,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(sK11(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11200,f149]) ).
fof(f11200,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(sK11(powerset(X0))))) ),
inference(resolution,[],[f11175,f646]) ).
fof(f12253,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(sK6(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f11181,f4602]) ).
fof(f12252,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(sK6(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11181,f646]) ).
fof(f12251,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(sK6(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11181,f147]) ).
fof(f12249,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,sK11(sK6(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11181,f188]) ).
fof(f12248,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,sK11(sK6(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11181,f190]) ).
fof(f12247,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(sK6(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11181,f149]) ).
fof(f11181,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f11166,f4602]) ).
fof(f12223,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_rng(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10977,f4602]) ).
fof(f12222,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_rng(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10977,f646]) ).
fof(f12221,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10977,f147]) ).
fof(f12219,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10977,f188]) ).
fof(f12218,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10977,f190]) ).
fof(f12217,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10977,f149]) ).
fof(f10977,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK11(powerset(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f10908,f147]) ).
fof(f12193,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_dom(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10973,f4602]) ).
fof(f12192,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_dom(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10973,f646]) ).
fof(f12191,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10973,f147]) ).
fof(f12189,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10973,f188]) ).
fof(f12188,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10973,f190]) ).
fof(f12187,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10973,f149]) ).
fof(f10973,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK11(powerset(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f10908,f149]) ).
fof(f12163,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(sK11(powerset(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10953,f4602]) ).
fof(f12162,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(sK11(powerset(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10953,f646]) ).
fof(f12161,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(sK11(powerset(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10953,f147]) ).
fof(f12159,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(sK11(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10953,f188]) ).
fof(f12158,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(sK11(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10953,f190]) ).
fof(f12157,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(sK11(powerset(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10953,f149]) ).
fof(f10953,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(sK11(powerset(X0))),sK5)) ),
inference(resolution,[],[f10907,f646]) ).
fof(f12133,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(sK11(powerset(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10928,f4602]) ).
fof(f12132,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(sK11(powerset(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10928,f646]) ).
fof(f12131,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(sK11(powerset(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10928,f147]) ).
fof(f12129,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(sK11(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10928,f188]) ).
fof(f12128,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(sK11(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10928,f190]) ).
fof(f12127,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(sK11(powerset(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10928,f149]) ).
fof(f10928,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(sK11(powerset(X0))),sK5)) ),
inference(resolution,[],[f10903,f646]) ).
fof(f12124,plain,
! [X0,X1] :
( empty(sK11(powerset(powerset(X0))))
| ~ empty(X0)
| ~ in(X1,sK11(sK11(powerset(powerset(X0))))) ),
inference(resolution,[],[f1387,f201]) ).
fof(f12123,plain,
! [X0,X1] :
( empty(sK11(powerset(powerset(X0))))
| element(X1,X0)
| ~ in(X1,sK11(sK11(powerset(powerset(X0))))) ),
inference(resolution,[],[f1387,f200]) ).
fof(f12126,plain,
! [X0] :
( in(sK11(sK11(powerset(X0))),X0)
| empty(sK11(powerset(X0))) ),
inference(subsumption_resolution,[],[f12122,f646]) ).
fof(f12122,plain,
! [X0] :
( empty(sK11(powerset(X0)))
| empty(X0)
| in(sK11(sK11(powerset(X0))),X0) ),
inference(resolution,[],[f1387,f187]) ).
fof(f1387,plain,
! [X0] :
( element(sK11(sK11(powerset(X0))),X0)
| empty(sK11(powerset(X0))) ),
inference(resolution,[],[f839,f363]) ).
fof(f12108,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(sK6(powerset(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10909,f4602]) ).
fof(f12107,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(sK6(powerset(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10909,f646]) ).
fof(f12106,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(sK6(powerset(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10909,f147]) ).
fof(f12104,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK11(sK6(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10909,f188]) ).
fof(f12103,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK11(sK6(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10909,f190]) ).
fof(f12102,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(sK6(powerset(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10909,f149]) ).
fof(f10909,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK11(sK6(powerset(X0))),sK5)) ),
inference(resolution,[],[f10894,f4602]) ).
fof(f12078,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_rng(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10685,f4602]) ).
fof(f12077,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_rng(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10685,f646]) ).
fof(f12076,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_rng(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10685,f147]) ).
fof(f12074,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10685,f188]) ).
fof(f12073,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_rng(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10685,f190]) ).
fof(f12072,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_rng(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10685,f149]) ).
fof(f10685,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK11(powerset(relation_rng(X0))),sK5)) ),
inference(resolution,[],[f10616,f147]) ).
fof(f12048,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_dom(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10681,f4602]) ).
fof(f12047,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_dom(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10681,f646]) ).
fof(f12046,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_dom(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10681,f147]) ).
fof(f12044,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10681,f188]) ).
fof(f12043,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_dom(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10681,f190]) ).
fof(f12042,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_dom(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10681,f149]) ).
fof(f10681,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK11(powerset(relation_dom(X0))),sK5)) ),
inference(resolution,[],[f10616,f149]) ).
fof(f12018,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(sK11(powerset(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10661,f4602]) ).
fof(f12017,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(sK11(powerset(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10661,f646]) ).
fof(f12016,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(sK11(powerset(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10661,f147]) ).
fof(f12014,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(sK11(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10661,f188]) ).
fof(f12013,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(sK11(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10661,f190]) ).
fof(f12012,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(sK11(powerset(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10661,f149]) ).
fof(f10661,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(sK11(powerset(X0))),sK5)) ),
inference(resolution,[],[f10615,f646]) ).
fof(f11988,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(sK11(powerset(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10636,f4602]) ).
fof(f11987,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(sK11(powerset(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10636,f646]) ).
fof(f11986,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(sK11(powerset(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10636,f147]) ).
fof(f11984,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(sK11(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10636,f188]) ).
fof(f11983,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(sK11(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10636,f190]) ).
fof(f11982,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(sK11(powerset(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10636,f149]) ).
fof(f10636,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(sK11(powerset(X0))),sK5)) ),
inference(resolution,[],[f10611,f646]) ).
fof(f11968,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(sK6(powerset(sK11(sK6(powerset(X0)))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10617,f4602]) ).
fof(f11967,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(sK6(powerset(sK11(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10617,f646]) ).
fof(f11966,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(sK6(powerset(relation_rng(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10617,f147]) ).
fof(f11964,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK11(sK6(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10617,f188]) ).
fof(f11963,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK11(sK6(powerset(relation_composition(X0,X1)))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10617,f190]) ).
fof(f11962,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(sK6(powerset(relation_dom(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10617,f149]) ).
fof(f10617,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK11(sK6(powerset(X0))),sK5)) ),
inference(resolution,[],[f10602,f4602]) ).
fof(f11948,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK19,sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f11443,f4602]) ).
fof(f11947,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK19,sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f11443,f646]) ).
fof(f11946,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK19,relation_rng(X0))) ),
inference(resolution,[],[f11443,f147]) ).
fof(f11944,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK19,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11443,f188]) ).
fof(f11943,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK19,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11443,f190]) ).
fof(f11942,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK19,relation_dom(X0))) ),
inference(resolution,[],[f11443,f149]) ).
fof(f11443,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK19,X0)) ),
inference(resolution,[],[f387,f211]) ).
fof(f11928,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK18,sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f11442,f4602]) ).
fof(f11927,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK18,sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f11442,f646]) ).
fof(f11926,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK18,relation_rng(X0))) ),
inference(resolution,[],[f11442,f147]) ).
fof(f11924,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK18,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11442,f188]) ).
fof(f11923,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK18,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11442,f190]) ).
fof(f11922,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK18,relation_dom(X0))) ),
inference(resolution,[],[f11442,f149]) ).
fof(f11442,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK18,X0)) ),
inference(resolution,[],[f387,f209]) ).
fof(f11908,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK17,sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f11441,f4602]) ).
fof(f11907,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK17,sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f11441,f646]) ).
fof(f11906,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK17,relation_rng(X0))) ),
inference(resolution,[],[f11441,f147]) ).
fof(f11904,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11441,f188]) ).
fof(f11903,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11441,f190]) ).
fof(f11902,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK17,relation_dom(X0))) ),
inference(resolution,[],[f11441,f149]) ).
fof(f11441,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK17,X0)) ),
inference(resolution,[],[f387,f208]) ).
fof(f11888,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_rng(sK11(sK6(powerset(X1)))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f768,f4602]) ).
fof(f11887,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_rng(sK11(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f768,f646]) ).
fof(f11886,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_rng(relation_rng(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f768,f147]) ).
fof(f11884,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_rng(relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f768,f188]) ).
fof(f11883,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_rng(relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f768,f190]) ).
fof(f11882,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_rng(relation_dom(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f768,f149]) ).
fof(f768,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(X0,relation_rng(X1))
| ~ empty(X0) ),
inference(resolution,[],[f376,f148]) ).
fof(f11868,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK15,sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f11439,f4602]) ).
fof(f11867,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK15,sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f11439,f646]) ).
fof(f11866,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK15,relation_rng(X0))) ),
inference(resolution,[],[f11439,f147]) ).
fof(f11864,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11439,f188]) ).
fof(f11863,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11439,f190]) ).
fof(f11862,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK15,relation_dom(X0))) ),
inference(resolution,[],[f11439,f149]) ).
fof(f11439,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK15,X0)) ),
inference(resolution,[],[f387,f205]) ).
fof(f11848,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(empty_set,sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f11436,f4602]) ).
fof(f11847,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(empty_set,sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f11436,f646]) ).
fof(f11846,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(empty_set,relation_rng(X0))) ),
inference(resolution,[],[f11436,f147]) ).
fof(f11844,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11436,f188]) ).
fof(f11843,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11436,f190]) ).
fof(f11842,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(empty_set,relation_dom(X0))) ),
inference(resolution,[],[f11436,f149]) ).
fof(f11436,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(empty_set,X0)) ),
inference(resolution,[],[f387,f138]) ).
fof(f11828,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK19,sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f11171,f4602]) ).
fof(f11827,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK19,sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f11171,f646]) ).
fof(f11826,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK19,relation_rng(X0))) ),
inference(resolution,[],[f11171,f147]) ).
fof(f11824,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK19,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11171,f188]) ).
fof(f11823,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK19,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11171,f190]) ).
fof(f11822,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK19,relation_dom(X0))) ),
inference(resolution,[],[f11171,f149]) ).
fof(f11171,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK19,X0)) ),
inference(resolution,[],[f386,f211]) ).
fof(f11808,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK18,sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f11170,f4602]) ).
fof(f11807,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK18,sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f11170,f646]) ).
fof(f11806,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK18,relation_rng(X0))) ),
inference(resolution,[],[f11170,f147]) ).
fof(f11804,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK18,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11170,f188]) ).
fof(f11803,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK18,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11170,f190]) ).
fof(f11802,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK18,relation_dom(X0))) ),
inference(resolution,[],[f11170,f149]) ).
fof(f11170,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK18,X0)) ),
inference(resolution,[],[f386,f209]) ).
fof(f11788,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK17,sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f11169,f4602]) ).
fof(f11787,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK17,sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f11169,f646]) ).
fof(f11786,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK17,relation_rng(X0))) ),
inference(resolution,[],[f11169,f147]) ).
fof(f11784,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11169,f188]) ).
fof(f11783,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11169,f190]) ).
fof(f11782,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK17,relation_dom(X0))) ),
inference(resolution,[],[f11169,f149]) ).
fof(f11169,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK17,X0)) ),
inference(resolution,[],[f386,f208]) ).
fof(f11768,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK15,sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f11167,f4602]) ).
fof(f11767,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK15,sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f11167,f646]) ).
fof(f11766,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK15,relation_rng(X0))) ),
inference(resolution,[],[f11167,f147]) ).
fof(f11764,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11167,f188]) ).
fof(f11763,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11167,f190]) ).
fof(f11762,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK15,relation_dom(X0))) ),
inference(resolution,[],[f11167,f149]) ).
fof(f11167,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK15,X0)) ),
inference(resolution,[],[f386,f205]) ).
fof(f11748,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(empty_set,sK11(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f11164,f4602]) ).
fof(f11747,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(empty_set,sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f11164,f646]) ).
fof(f11746,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(empty_set,relation_rng(X0))) ),
inference(resolution,[],[f11164,f147]) ).
fof(f11744,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11164,f188]) ).
fof(f11743,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11164,f190]) ).
fof(f11742,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(empty_set,relation_dom(X0))) ),
inference(resolution,[],[f11164,f149]) ).
fof(f11164,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(empty_set,X0)) ),
inference(resolution,[],[f386,f138]) ).
fof(f11728,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_dom(sK11(sK6(powerset(X1)))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f762,f4602]) ).
fof(f11727,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_dom(sK11(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f762,f646]) ).
fof(f11726,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_dom(relation_rng(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f762,f147]) ).
fof(f11724,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_dom(relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f762,f188]) ).
fof(f11723,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_dom(relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f762,f190]) ).
fof(f11722,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_dom(relation_dom(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f762,f149]) ).
fof(f762,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(X0,relation_dom(X1))
| ~ empty(X0) ),
inference(resolution,[],[f376,f150]) ).
fof(f11708,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(sK6(powerset(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f10899,f4602]) ).
fof(f11707,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(X0)),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f10899,f646]) ).
fof(f11706,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),sK19)) ),
inference(resolution,[],[f10899,f147]) ).
fof(f11704,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK19))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10899,f188]) ).
fof(f11703,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK19))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10899,f190]) ).
fof(f11702,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),sK19)) ),
inference(resolution,[],[f10899,f149]) ).
fof(f10899,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK19)) ),
inference(resolution,[],[f379,f211]) ).
fof(f11688,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(sK6(powerset(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f10898,f4602]) ).
fof(f11687,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(X0)),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f10898,f646]) ).
fof(f11686,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),sK18)) ),
inference(resolution,[],[f10898,f147]) ).
fof(f11684,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK18))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10898,f188]) ).
fof(f11683,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK18))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10898,f190]) ).
fof(f11682,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),sK18)) ),
inference(resolution,[],[f10898,f149]) ).
fof(f10898,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK18)) ),
inference(resolution,[],[f379,f209]) ).
fof(f11668,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(sK6(powerset(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f10897,f4602]) ).
fof(f11667,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(X0)),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f10897,f646]) ).
fof(f11666,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),sK17)) ),
inference(resolution,[],[f10897,f147]) ).
fof(f11664,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10897,f188]) ).
fof(f11663,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10897,f190]) ).
fof(f11662,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),sK17)) ),
inference(resolution,[],[f10897,f149]) ).
fof(f10897,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK17)) ),
inference(resolution,[],[f379,f208]) ).
fof(f11638,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11496,f4602]) ).
fof(f11637,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11496,f646]) ).
fof(f11634,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11496,f188]) ).
fof(f11633,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11496,f190]) ).
fof(f11496,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f11451,f147]) ).
fof(f11608,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11492,f4602]) ).
fof(f11607,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11492,f646]) ).
fof(f11604,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11492,f188]) ).
fof(f11603,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11492,f190]) ).
fof(f11492,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f11451,f149]) ).
fof(f11578,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11471,f4602]) ).
fof(f11577,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11471,f646]) ).
fof(f11574,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11471,f188]) ).
fof(f11573,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11471,f190]) ).
fof(f11471,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f11447,f147]) ).
fof(f11548,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11467,f4602]) ).
fof(f11547,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11467,f646]) ).
fof(f11544,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11467,f188]) ).
fof(f11543,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11467,f190]) ).
fof(f11467,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f11447,f149]) ).
fof(f11523,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11452,f4602]) ).
fof(f11522,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,sK11(powerset(sK11(powerset(X0)))))) ),
inference(resolution,[],[f11452,f646]) ).
fof(f11519,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11452,f188]) ).
fof(f11518,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11452,f190]) ).
fof(f11452,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,sK11(powerset(X0)))) ),
inference(resolution,[],[f11438,f646]) ).
fof(f11498,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f11451,f4602]) ).
fof(f11494,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11451,f188]) ).
fof(f11493,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11451,f190]) ).
fof(f11451,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_rng(X0))) ),
inference(resolution,[],[f11438,f147]) ).
fof(f11473,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f11447,f4602]) ).
fof(f11469,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11447,f188]) ).
fof(f11468,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11447,f190]) ).
fof(f11447,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_dom(X0))) ),
inference(resolution,[],[f11438,f149]) ).
fof(f11449,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_dom(relation_composition(sK5,relation_composition(X0,X1)))
| ~ empty(X0) ),
inference(resolution,[],[f11438,f188]) ).
fof(f11448,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_dom(relation_composition(sK5,relation_composition(X0,X1)))
| ~ empty(X1) ),
inference(resolution,[],[f11438,f190]) ).
fof(f11438,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK5,X0)) ),
inference(resolution,[],[f387,f132]) ).
fof(f11446,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f11444,f228]) ).
fof(f11444,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK20,X0)) ),
inference(resolution,[],[f387,f214]) ).
fof(f11445,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f11440,f227]) ).
fof(f11440,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK16,X0)) ),
inference(resolution,[],[f387,f207]) ).
fof(f11437,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X1),X0))
| ~ empty(X1) ),
inference(resolution,[],[f387,f148]) ).
fof(f11435,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f387,f189]) ).
fof(f11434,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f387,f191]) ).
fof(f11433,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f387,f196]) ).
fof(f11432,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(function_inverse(X1),X0))
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f387,f153]) ).
fof(f11431,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X1),X0))
| ~ empty(X1) ),
inference(resolution,[],[f387,f150]) ).
fof(f11430,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X1,X0))
| ~ empty(X1) ),
inference(resolution,[],[f387,f145]) ).
fof(f387,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_composition(X0,X1)) ),
inference(resolution,[],[f190,f237]) ).
fof(f11416,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(sK6(powerset(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f10895,f4602]) ).
fof(f11415,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(X0)),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f10895,f646]) ).
fof(f11414,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),sK15)) ),
inference(resolution,[],[f10895,f147]) ).
fof(f11412,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10895,f188]) ).
fof(f11411,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10895,f190]) ).
fof(f11410,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),sK15)) ),
inference(resolution,[],[f10895,f149]) ).
fof(f10895,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK15)) ),
inference(resolution,[],[f379,f205]) ).
fof(f11396,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(sK6(powerset(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f10892,f4602]) ).
fof(f11395,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(X0)),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f10892,f646]) ).
fof(f11394,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),empty_set)) ),
inference(resolution,[],[f10892,f147]) ).
fof(f11392,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10892,f188]) ).
fof(f11391,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10892,f190]) ).
fof(f11390,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),empty_set)) ),
inference(resolution,[],[f10892,f149]) ).
fof(f10892,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,empty_set)) ),
inference(resolution,[],[f379,f138]) ).
fof(f11366,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11224,f4602]) ).
fof(f11365,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11224,f646]) ).
fof(f11362,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11224,f188]) ).
fof(f11361,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11224,f190]) ).
fof(f11224,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f11179,f147]) ).
fof(f11336,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11220,f4602]) ).
fof(f11335,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11220,f646]) ).
fof(f11332,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11220,f188]) ).
fof(f11331,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11220,f190]) ).
fof(f11220,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f11179,f149]) ).
fof(f11306,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11199,f4602]) ).
fof(f11305,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11199,f646]) ).
fof(f11302,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11199,f188]) ).
fof(f11301,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11199,f190]) ).
fof(f11199,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f11175,f147]) ).
fof(f11276,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11195,f4602]) ).
fof(f11275,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f11195,f646]) ).
fof(f11272,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11195,f188]) ).
fof(f11271,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11195,f190]) ).
fof(f11195,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f11175,f149]) ).
fof(f11251,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f11180,f4602]) ).
fof(f11250,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,sK11(powerset(sK11(powerset(X0)))))) ),
inference(resolution,[],[f11180,f646]) ).
fof(f11247,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11180,f188]) ).
fof(f11246,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11180,f190]) ).
fof(f11180,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,sK11(powerset(X0)))) ),
inference(resolution,[],[f11166,f646]) ).
fof(f11226,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f11179,f4602]) ).
fof(f11222,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11179,f188]) ).
fof(f11221,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11179,f190]) ).
fof(f11179,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_rng(X0))) ),
inference(resolution,[],[f11166,f147]) ).
fof(f11201,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f11175,f4602]) ).
fof(f11197,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f11175,f188]) ).
fof(f11196,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f11175,f190]) ).
fof(f11175,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_dom(X0))) ),
inference(resolution,[],[f11166,f149]) ).
fof(f11177,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_rng(relation_composition(sK5,relation_composition(X0,X1)))
| ~ empty(X0) ),
inference(resolution,[],[f11166,f188]) ).
fof(f11176,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_rng(relation_composition(sK5,relation_composition(X0,X1)))
| ~ empty(X1) ),
inference(resolution,[],[f11166,f190]) ).
fof(f11166,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK5,X0)) ),
inference(resolution,[],[f386,f132]) ).
fof(f11174,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f11172,f228]) ).
fof(f11172,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK20,X0)) ),
inference(resolution,[],[f386,f214]) ).
fof(f11173,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f11168,f227]) ).
fof(f11168,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK16,X0)) ),
inference(resolution,[],[f386,f207]) ).
fof(f11165,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X1),X0))
| ~ empty(X1) ),
inference(resolution,[],[f386,f148]) ).
fof(f11163,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f386,f189]) ).
fof(f11162,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f386,f191]) ).
fof(f11161,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_composition(X1,X2),X0))
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f386,f196]) ).
fof(f11160,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(function_inverse(X1),X0))
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f386,f153]) ).
fof(f11159,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X1),X0))
| ~ empty(X1) ),
inference(resolution,[],[f386,f150]) ).
fof(f11158,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X1,X0))
| ~ empty(X1) ),
inference(resolution,[],[f386,f145]) ).
fof(f386,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_composition(X0,X1)) ),
inference(resolution,[],[f190,f236]) ).
fof(f11144,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(sK6(powerset(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f10607,f4602]) ).
fof(f11143,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(X0)),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f10607,f646]) ).
fof(f11142,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),sK19)) ),
inference(resolution,[],[f10607,f147]) ).
fof(f11140,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK19))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10607,f188]) ).
fof(f11139,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK19))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10607,f190]) ).
fof(f11138,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),sK19)) ),
inference(resolution,[],[f10607,f149]) ).
fof(f10607,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK19)) ),
inference(resolution,[],[f378,f211]) ).
fof(f11124,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(sK6(powerset(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f10606,f4602]) ).
fof(f11123,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(X0)),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f10606,f646]) ).
fof(f11122,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),sK18)) ),
inference(resolution,[],[f10606,f147]) ).
fof(f11120,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK18))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10606,f188]) ).
fof(f11119,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK18))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10606,f190]) ).
fof(f11118,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),sK18)) ),
inference(resolution,[],[f10606,f149]) ).
fof(f10606,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK18)) ),
inference(resolution,[],[f378,f209]) ).
fof(f11094,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10952,f4602]) ).
fof(f11093,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10952,f646]) ).
fof(f11090,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10952,f188]) ).
fof(f11089,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10952,f190]) ).
fof(f10952,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f10907,f147]) ).
fof(f11064,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10948,f4602]) ).
fof(f11063,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10948,f646]) ).
fof(f11060,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10948,f188]) ).
fof(f11059,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10948,f190]) ).
fof(f10948,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f10907,f149]) ).
fof(f11034,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10927,f4602]) ).
fof(f11033,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10927,f646]) ).
fof(f11030,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10927,f188]) ).
fof(f11029,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10927,f190]) ).
fof(f10927,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f10903,f147]) ).
fof(f11004,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10923,f4602]) ).
fof(f11003,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10923,f646]) ).
fof(f11000,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10923,f188]) ).
fof(f10999,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10923,f190]) ).
fof(f10923,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f10903,f149]) ).
fof(f10979,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10908,f4602]) ).
fof(f10978,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK11(powerset(sK11(powerset(X0)))),sK5)) ),
inference(resolution,[],[f10908,f646]) ).
fof(f10975,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10908,f188]) ).
fof(f10974,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10908,f190]) ).
fof(f10908,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(sK11(powerset(X0)),sK5)) ),
inference(resolution,[],[f10894,f646]) ).
fof(f10954,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK5)) ),
inference(resolution,[],[f10907,f4602]) ).
fof(f10950,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10907,f188]) ).
fof(f10949,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10907,f190]) ).
fof(f10907,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_rng(X0),sK5)) ),
inference(resolution,[],[f10894,f147]) ).
fof(f10929,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK5)) ),
inference(resolution,[],[f10903,f4602]) ).
fof(f10925,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10903,f188]) ).
fof(f10924,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10903,f190]) ).
fof(f10903,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(relation_dom(X0),sK5)) ),
inference(resolution,[],[f10894,f149]) ).
fof(f10905,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10894,f188]) ).
fof(f10904,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_dom(relation_composition(relation_composition(X0,X1),sK5))
| ~ empty(X1) ),
inference(resolution,[],[f10894,f190]) ).
fof(f10894,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK5)) ),
inference(resolution,[],[f379,f132]) ).
fof(f10902,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f10900,f228]) ).
fof(f10900,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK20)) ),
inference(resolution,[],[f379,f214]) ).
fof(f10901,plain,
! [X0] :
( empty_set = relation_dom(relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f10896,f227]) ).
fof(f10896,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,sK16)) ),
inference(resolution,[],[f379,f207]) ).
fof(f10893,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,relation_rng(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f379,f148]) ).
fof(f10891,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f379,f189]) ).
fof(f10890,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f379,f191]) ).
fof(f10889,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f379,f196]) ).
fof(f10888,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,function_inverse(X1)))
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f379,f153]) ).
fof(f10887,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_dom(relation_composition(X0,relation_dom(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f379,f150]) ).
fof(f10886,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_dom(relation_composition(X0,X1))
| ~ empty(X0) ),
inference(resolution,[],[f379,f145]) ).
fof(f379,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_composition(X1,X0)) ),
inference(resolution,[],[f188,f237]) ).
fof(f10872,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(sK6(powerset(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f10605,f4602]) ).
fof(f10871,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(X0)),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f10605,f646]) ).
fof(f10870,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),sK17)) ),
inference(resolution,[],[f10605,f147]) ).
fof(f10868,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10605,f188]) ).
fof(f10867,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10605,f190]) ).
fof(f10866,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),sK17)) ),
inference(resolution,[],[f10605,f149]) ).
fof(f10605,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK17)) ),
inference(resolution,[],[f378,f208]) ).
fof(f10852,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(sK6(powerset(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f10603,f4602]) ).
fof(f10851,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(X0)),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f10603,f646]) ).
fof(f10850,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),sK15)) ),
inference(resolution,[],[f10603,f147]) ).
fof(f10848,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10603,f188]) ).
fof(f10847,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10603,f190]) ).
fof(f10846,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),sK15)) ),
inference(resolution,[],[f10603,f149]) ).
fof(f10603,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK15)) ),
inference(resolution,[],[f378,f205]) ).
fof(f10832,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(sK6(powerset(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f10600,f4602]) ).
fof(f10831,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(X0)),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f10600,f646]) ).
fof(f10830,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),empty_set)) ),
inference(resolution,[],[f10600,f147]) ).
fof(f10828,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10600,f188]) ).
fof(f10827,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10600,f190]) ).
fof(f10826,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),empty_set)) ),
inference(resolution,[],[f10600,f149]) ).
fof(f10600,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,empty_set)) ),
inference(resolution,[],[f378,f138]) ).
fof(f10802,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10660,f4602]) ).
fof(f10801,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10660,f646]) ).
fof(f10798,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10660,f188]) ).
fof(f10797,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10660,f190]) ).
fof(f10660,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f10615,f147]) ).
fof(f10772,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10656,f4602]) ).
fof(f10771,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10656,f646]) ).
fof(f10768,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10656,f188]) ).
fof(f10767,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10656,f190]) ).
fof(f10656,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f10615,f149]) ).
fof(f10742,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10635,f4602]) ).
fof(f10741,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10635,f646]) ).
fof(f10738,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10635,f188]) ).
fof(f10737,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10635,f190]) ).
fof(f10635,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f10611,f147]) ).
fof(f10712,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10631,f4602]) ).
fof(f10711,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10631,f646]) ).
fof(f10708,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10631,f188]) ).
fof(f10707,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10631,f190]) ).
fof(f10631,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f10611,f149]) ).
fof(f10687,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10616,f4602]) ).
fof(f10686,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK11(powerset(sK11(powerset(X0)))),sK5)) ),
inference(resolution,[],[f10616,f646]) ).
fof(f10683,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10616,f188]) ).
fof(f10682,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10616,f190]) ).
fof(f10616,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(sK11(powerset(X0)),sK5)) ),
inference(resolution,[],[f10602,f646]) ).
fof(f10662,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK5)) ),
inference(resolution,[],[f10615,f4602]) ).
fof(f10658,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10615,f188]) ).
fof(f10657,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10615,f190]) ).
fof(f10615,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_rng(X0),sK5)) ),
inference(resolution,[],[f10602,f147]) ).
fof(f10637,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK5)) ),
inference(resolution,[],[f10611,f4602]) ).
fof(f10633,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f10611,f188]) ).
fof(f10632,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f10611,f190]) ).
fof(f10611,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(relation_dom(X0),sK5)) ),
inference(resolution,[],[f10602,f149]) ).
fof(f10613,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f10602,f188]) ).
fof(f10612,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_rng(relation_composition(relation_composition(X0,X1),sK5))
| ~ empty(X1) ),
inference(resolution,[],[f10602,f190]) ).
fof(f10602,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK5)) ),
inference(resolution,[],[f378,f132]) ).
fof(f10610,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f10608,f228]) ).
fof(f10608,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK20)) ),
inference(resolution,[],[f378,f214]) ).
fof(f10609,plain,
! [X0] :
( empty_set = relation_rng(relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f10604,f227]) ).
fof(f10604,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,sK16)) ),
inference(resolution,[],[f378,f207]) ).
fof(f10601,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,relation_rng(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f378,f148]) ).
fof(f10599,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f378,f189]) ).
fof(f10598,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f378,f191]) ).
fof(f10597,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f378,f196]) ).
fof(f10596,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,function_inverse(X1)))
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f378,f153]) ).
fof(f10595,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(relation_composition(X0,relation_dom(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f378,f150]) ).
fof(f10594,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_rng(relation_composition(X0,X1))
| ~ empty(X0) ),
inference(resolution,[],[f378,f145]) ).
fof(f378,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_composition(X1,X0)) ),
inference(resolution,[],[f188,f236]) ).
fof(f10575,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f653,f4602]) ).
fof(f10574,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(sK11(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f653,f646]) ).
fof(f10573,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(sK11(powerset(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f653,f147]) ).
fof(f10571,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f653,f188]) ).
fof(f10570,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f653,f190]) ).
fof(f10569,plain,
! [X0] :
( empty_set = relation_dom(relation_dom(sK11(powerset(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f653,f149]) ).
fof(f653,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(sK11(powerset(X0)))) ),
inference(resolution,[],[f646,f256]) ).
fof(f10550,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f652,f4602]) ).
fof(f10549,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(sK11(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f652,f646]) ).
fof(f10548,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(sK11(powerset(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f652,f147]) ).
fof(f10546,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f652,f188]) ).
fof(f10545,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f652,f190]) ).
fof(f10544,plain,
! [X0] :
( empty_set = relation_rng(relation_rng(sK11(powerset(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f652,f149]) ).
fof(f652,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(sK11(powerset(X0)))) ),
inference(resolution,[],[f646,f245]) ).
fof(f10525,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f651,f4602]) ).
fof(f10524,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(sK11(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f651,f646]) ).
fof(f10523,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(sK11(powerset(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f651,f147]) ).
fof(f10521,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f651,f188]) ).
fof(f10520,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f651,f190]) ).
fof(f10519,plain,
! [X0] :
( empty_set = relation_rng(relation_dom(sK11(powerset(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f651,f149]) ).
fof(f651,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(sK11(powerset(X0)))) ),
inference(resolution,[],[f646,f243]) ).
fof(f10510,plain,
! [X0,X1] :
( sK11(powerset(X0)) = sK11(sK6(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f648,f4602]) ).
fof(f10509,plain,
! [X0,X1] :
( sK11(powerset(X0)) = sK11(powerset(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f648,f646]) ).
fof(f10508,plain,
! [X0,X1] :
( relation_rng(X1) = sK11(powerset(X0))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f648,f147]) ).
fof(f10506,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = sK11(powerset(X0))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f648,f188]) ).
fof(f10505,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = sK11(powerset(X0))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f648,f190]) ).
fof(f10504,plain,
! [X0,X1] :
( relation_dom(X1) = sK11(powerset(X0))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f648,f149]) ).
fof(f648,plain,
! [X0,X1] :
( ~ empty(X1)
| sK11(powerset(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f646,f198]) ).
fof(f10495,plain,
! [X0,X1] :
( relation_composition(sK19,X0) = sK11(sK6(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4887,f4602]) ).
fof(f10494,plain,
! [X0,X1] :
( sK11(powerset(X1)) = relation_composition(sK19,X0)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4887,f646]) ).
fof(f10493,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(sK19,X0) ),
inference(resolution,[],[f4887,f147]) ).
fof(f10491,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK19,X0)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4887,f188]) ).
fof(f10490,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK19,X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4887,f190]) ).
fof(f10489,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(sK19,X0) ),
inference(resolution,[],[f4887,f149]) ).
fof(f4887,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK19,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f385,f211]) ).
fof(f10480,plain,
! [X0,X1] :
( relation_composition(sK18,X0) = sK11(sK6(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4886,f4602]) ).
fof(f10479,plain,
! [X0,X1] :
( sK11(powerset(X1)) = relation_composition(sK18,X0)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4886,f646]) ).
fof(f10478,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(sK18,X0) ),
inference(resolution,[],[f4886,f147]) ).
fof(f10476,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK18,X0)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4886,f188]) ).
fof(f10475,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK18,X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4886,f190]) ).
fof(f10474,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(sK18,X0) ),
inference(resolution,[],[f4886,f149]) ).
fof(f4886,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK18,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f385,f209]) ).
fof(f10465,plain,
! [X0,X1] :
( relation_composition(sK17,X0) = sK11(sK6(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4885,f4602]) ).
fof(f10464,plain,
! [X0,X1] :
( sK11(powerset(X1)) = relation_composition(sK17,X0)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4885,f646]) ).
fof(f10463,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(sK17,X0) ),
inference(resolution,[],[f4885,f147]) ).
fof(f10461,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK17,X0)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4885,f188]) ).
fof(f10460,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK17,X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4885,f190]) ).
fof(f10459,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(sK17,X0) ),
inference(resolution,[],[f4885,f149]) ).
fof(f4885,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK17,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f385,f208]) ).
fof(f10450,plain,
! [X0,X1] :
( relation_composition(sK15,X0) = sK11(sK6(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4883,f4602]) ).
fof(f10449,plain,
! [X0,X1] :
( sK11(powerset(X1)) = relation_composition(sK15,X0)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4883,f646]) ).
fof(f10448,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(sK15,X0) ),
inference(resolution,[],[f4883,f147]) ).
fof(f10446,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK15,X0)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4883,f188]) ).
fof(f10445,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(sK15,X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4883,f190]) ).
fof(f10444,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(sK15,X0) ),
inference(resolution,[],[f4883,f149]) ).
fof(f4883,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK15,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f385,f205]) ).
fof(f10435,plain,
! [X0,X1] :
( relation_composition(empty_set,X0) = sK11(sK6(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4880,f4602]) ).
fof(f10434,plain,
! [X0,X1] :
( sK11(powerset(X1)) = relation_composition(empty_set,X0)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4880,f646]) ).
fof(f10433,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(empty_set,X0) ),
inference(resolution,[],[f4880,f147]) ).
fof(f10431,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(empty_set,X0)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4880,f188]) ).
fof(f10430,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(empty_set,X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4880,f190]) ).
fof(f10429,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(empty_set,X0) ),
inference(resolution,[],[f4880,f149]) ).
fof(f4880,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(empty_set,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f385,f138]) ).
fof(f10420,plain,
! [X0,X1] :
( relation_composition(X0,sK19) = sK11(sK6(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4617,f4602]) ).
fof(f10419,plain,
! [X0,X1] :
( sK11(powerset(X1)) = relation_composition(X0,sK19)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4617,f646]) ).
fof(f10418,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,sK19) ),
inference(resolution,[],[f4617,f147]) ).
fof(f10416,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK19)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4617,f188]) ).
fof(f10415,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK19)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4617,f190]) ).
fof(f10414,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,sK19) ),
inference(resolution,[],[f4617,f149]) ).
fof(f4617,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK19) = X1
| ~ empty(X0) ),
inference(resolution,[],[f377,f211]) ).
fof(f10405,plain,
! [X0,X1] :
( relation_composition(X0,sK18) = sK11(sK6(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4616,f4602]) ).
fof(f10404,plain,
! [X0,X1] :
( sK11(powerset(X1)) = relation_composition(X0,sK18)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4616,f646]) ).
fof(f10403,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,sK18) ),
inference(resolution,[],[f4616,f147]) ).
fof(f10401,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK18)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4616,f188]) ).
fof(f10400,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK18)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4616,f190]) ).
fof(f10399,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,sK18) ),
inference(resolution,[],[f4616,f149]) ).
fof(f4616,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK18) = X1
| ~ empty(X0) ),
inference(resolution,[],[f377,f209]) ).
fof(f10390,plain,
! [X0,X1] :
( relation_composition(X0,sK17) = sK11(sK6(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4615,f4602]) ).
fof(f10389,plain,
! [X0,X1] :
( sK11(powerset(X1)) = relation_composition(X0,sK17)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4615,f646]) ).
fof(f10388,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,sK17) ),
inference(resolution,[],[f4615,f147]) ).
fof(f10386,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK17)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4615,f188]) ).
fof(f10385,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK17)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4615,f190]) ).
fof(f10384,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,sK17) ),
inference(resolution,[],[f4615,f149]) ).
fof(f4615,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK17) = X1
| ~ empty(X0) ),
inference(resolution,[],[f377,f208]) ).
fof(f10360,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5879,f4602]) ).
fof(f10359,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5879,f646]) ).
fof(f10358,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5879,f147]) ).
fof(f10356,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK19))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5879,f188]) ).
fof(f10355,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK19))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5879,f190]) ).
fof(f10354,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5879,f149]) ).
fof(f5879,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),sK19)) ),
inference(resolution,[],[f5583,f147]) ).
fof(f10330,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5875,f4602]) ).
fof(f10329,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5875,f646]) ).
fof(f10328,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5875,f147]) ).
fof(f10326,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK19))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5875,f188]) ).
fof(f10325,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK19))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5875,f190]) ).
fof(f10324,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5875,f149]) ).
fof(f5875,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),sK19)) ),
inference(resolution,[],[f5583,f149]) ).
fof(f10300,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5854,f4602]) ).
fof(f10299,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5854,f646]) ).
fof(f10298,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5854,f147]) ).
fof(f10296,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK19))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5854,f188]) ).
fof(f10295,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK19))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5854,f190]) ).
fof(f10294,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5854,f149]) ).
fof(f5854,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),sK19)) ),
inference(resolution,[],[f5579,f147]) ).
fof(f10270,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5850,f4602]) ).
fof(f10269,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5850,f646]) ).
fof(f10268,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5850,f147]) ).
fof(f10266,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK19))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5850,f188]) ).
fof(f10265,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK19))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5850,f190]) ).
fof(f10264,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5850,f149]) ).
fof(f5850,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),sK19)) ),
inference(resolution,[],[f5579,f149]) ).
fof(f10240,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5829,f4602]) ).
fof(f10239,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5829,f646]) ).
fof(f10238,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5829,f147]) ).
fof(f10236,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK18))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5829,f188]) ).
fof(f10235,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK18))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5829,f190]) ).
fof(f10234,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5829,f149]) ).
fof(f5829,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),sK18)) ),
inference(resolution,[],[f5563,f147]) ).
fof(f10210,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5825,f4602]) ).
fof(f10209,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5825,f646]) ).
fof(f10208,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5825,f147]) ).
fof(f10206,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK18))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5825,f188]) ).
fof(f10205,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK18))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5825,f190]) ).
fof(f10204,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5825,f149]) ).
fof(f5825,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),sK18)) ),
inference(resolution,[],[f5563,f149]) ).
fof(f10180,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5804,f4602]) ).
fof(f10179,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5804,f646]) ).
fof(f10178,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5804,f147]) ).
fof(f10176,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK18))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5804,f188]) ).
fof(f10175,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK18))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5804,f190]) ).
fof(f10174,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5804,f149]) ).
fof(f5804,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),sK18)) ),
inference(resolution,[],[f5559,f147]) ).
fof(f10165,plain,
! [X0,X1] :
( relation_composition(X0,sK15) = sK11(sK6(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4613,f4602]) ).
fof(f10164,plain,
! [X0,X1] :
( sK11(powerset(X1)) = relation_composition(X0,sK15)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4613,f646]) ).
fof(f10163,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,sK15) ),
inference(resolution,[],[f4613,f147]) ).
fof(f10161,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK15)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4613,f188]) ).
fof(f10160,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,sK15)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4613,f190]) ).
fof(f10159,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,sK15) ),
inference(resolution,[],[f4613,f149]) ).
fof(f4613,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK15) = X1
| ~ empty(X0) ),
inference(resolution,[],[f377,f205]) ).
fof(f10135,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5800,f4602]) ).
fof(f10134,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5800,f646]) ).
fof(f10133,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5800,f147]) ).
fof(f10131,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK18))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5800,f188]) ).
fof(f10130,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK18))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5800,f190]) ).
fof(f10129,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5800,f149]) ).
fof(f5800,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),sK18)) ),
inference(resolution,[],[f5559,f149]) ).
fof(f10105,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5779,f4602]) ).
fof(f10104,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5779,f646]) ).
fof(f10103,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5779,f147]) ).
fof(f10101,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,[],[f5779,f188]) ).
fof(f10100,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,[],[f5779,f190]) ).
fof(f10099,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5779,f149]) ).
fof(f5779,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),sK17)) ),
inference(resolution,[],[f5543,f147]) ).
fof(f10075,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5775,f4602]) ).
fof(f10074,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5775,f646]) ).
fof(f10073,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5775,f147]) ).
fof(f10071,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,[],[f5775,f188]) ).
fof(f10070,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,[],[f5775,f190]) ).
fof(f10069,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5775,f149]) ).
fof(f5775,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),sK17)) ),
inference(resolution,[],[f5543,f149]) ).
fof(f10045,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5754,f4602]) ).
fof(f10044,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5754,f646]) ).
fof(f10043,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5754,f147]) ).
fof(f10041,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,[],[f5754,f188]) ).
fof(f10040,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,[],[f5754,f190]) ).
fof(f10039,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5754,f149]) ).
fof(f5754,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),sK17)) ),
inference(resolution,[],[f5539,f147]) ).
fof(f10015,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5750,f4602]) ).
fof(f10014,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5750,f646]) ).
fof(f10013,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5750,f147]) ).
fof(f10011,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,[],[f5750,f188]) ).
fof(f10010,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,[],[f5750,f190]) ).
fof(f10009,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5750,f149]) ).
fof(f5750,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),sK17)) ),
inference(resolution,[],[f5539,f149]) ).
fof(f9985,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5729,f4602]) ).
fof(f9984,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5729,f646]) ).
fof(f9983,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5729,f147]) ).
fof(f9981,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,[],[f5729,f188]) ).
fof(f9980,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,[],[f5729,f190]) ).
fof(f9979,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5729,f149]) ).
fof(f5729,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),sK15)) ),
inference(resolution,[],[f5523,f147]) ).
fof(f9955,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5725,f4602]) ).
fof(f9954,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5725,f646]) ).
fof(f9953,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5725,f147]) ).
fof(f9951,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,[],[f5725,f188]) ).
fof(f9950,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,[],[f5725,f190]) ).
fof(f9949,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5725,f149]) ).
fof(f5725,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),sK15)) ),
inference(resolution,[],[f5523,f149]) ).
fof(f9925,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5703,f4602]) ).
fof(f9924,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5703,f646]) ).
fof(f9923,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5703,f147]) ).
fof(f9921,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,[],[f5703,f188]) ).
fof(f9920,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,[],[f5703,f190]) ).
fof(f9919,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5703,f149]) ).
fof(f5703,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),sK15)) ),
inference(resolution,[],[f5519,f147]) ).
fof(f9895,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5699,f4602]) ).
fof(f9894,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5699,f646]) ).
fof(f9893,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5699,f147]) ).
fof(f9891,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,[],[f5699,f188]) ).
fof(f9890,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,[],[f5699,f190]) ).
fof(f9889,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5699,f149]) ).
fof(f5699,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),sK15)) ),
inference(resolution,[],[f5519,f149]) ).
fof(f9865,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5678,f4602]) ).
fof(f9864,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5678,f646]) ).
fof(f9863,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5678,f147]) ).
fof(f9861,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,[],[f5678,f188]) ).
fof(f9860,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,[],[f5678,f190]) ).
fof(f9859,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5678,f149]) ).
fof(f5678,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f5502,f147]) ).
fof(f9835,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5674,f4602]) ).
fof(f9834,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5674,f646]) ).
fof(f9833,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5674,f147]) ).
fof(f9831,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,[],[f5674,f188]) ).
fof(f9830,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,[],[f5674,f190]) ).
fof(f9829,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5674,f149]) ).
fof(f5674,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f5502,f149]) ).
fof(f9820,plain,
! [X0,X1] :
( relation_composition(X0,empty_set) = sK11(sK6(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4610,f4602]) ).
fof(f9819,plain,
! [X0,X1] :
( sK11(powerset(X1)) = relation_composition(X0,empty_set)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4610,f646]) ).
fof(f9818,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,empty_set) ),
inference(resolution,[],[f4610,f147]) ).
fof(f9816,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,empty_set)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4610,f188]) ).
fof(f9815,plain,
! [X2,X0,X1] :
( relation_composition(X1,X2) = relation_composition(X0,empty_set)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4610,f190]) ).
fof(f9814,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,empty_set) ),
inference(resolution,[],[f4610,f149]) ).
fof(f4610,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,empty_set) = X1
| ~ empty(X0) ),
inference(resolution,[],[f377,f138]) ).
fof(f9790,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5653,f4602]) ).
fof(f9789,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5653,f646]) ).
fof(f9788,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5653,f147]) ).
fof(f9786,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,[],[f5653,f188]) ).
fof(f9785,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,[],[f5653,f190]) ).
fof(f9784,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5653,f149]) ).
fof(f5653,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),sK5)) ),
inference(resolution,[],[f5498,f147]) ).
fof(f9760,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5649,f4602]) ).
fof(f9759,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5649,f646]) ).
fof(f9758,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5649,f147]) ).
fof(f9756,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,[],[f5649,f188]) ).
fof(f9755,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,[],[f5649,f190]) ).
fof(f9754,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5649,f149]) ).
fof(f5649,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),sK5)) ),
inference(resolution,[],[f5498,f149]) ).
fof(f9730,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5628,f4602]) ).
fof(f9729,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5628,f646]) ).
fof(f9728,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_rng(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5628,f147]) ).
fof(f9726,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,[],[f5628,f188]) ).
fof(f9725,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,[],[f5628,f190]) ).
fof(f9724,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(relation_dom(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5628,f149]) ).
fof(f5628,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_rng(X0)),empty_set)) ),
inference(resolution,[],[f5482,f147]) ).
fof(f9700,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5624,f4602]) ).
fof(f9699,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5624,f646]) ).
fof(f9698,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_rng(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5624,f147]) ).
fof(f9696,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,[],[f5624,f188]) ).
fof(f9695,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,[],[f5624,f190]) ).
fof(f9694,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(relation_dom(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5624,f149]) ).
fof(f5624,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_dom(X0)),empty_set)) ),
inference(resolution,[],[f5482,f149]) ).
fof(f9670,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5603,f4602]) ).
fof(f9669,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5603,f646]) ).
fof(f9668,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_rng(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5603,f147]) ).
fof(f9666,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,[],[f5603,f188]) ).
fof(f9665,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,[],[f5603,f190]) ).
fof(f9664,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(relation_dom(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5603,f149]) ).
fof(f5603,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_rng(X0)),empty_set)) ),
inference(resolution,[],[f5478,f147]) ).
fof(f9640,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5599,f4602]) ).
fof(f9639,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5599,f646]) ).
fof(f9638,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_rng(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5599,f147]) ).
fof(f9636,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,[],[f5599,f188]) ).
fof(f9635,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,[],[f5599,f190]) ).
fof(f9634,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(relation_dom(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5599,f149]) ).
fof(f5599,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_dom(X0)),empty_set)) ),
inference(resolution,[],[f5478,f149]) ).
fof(f9610,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5440,f4602]) ).
fof(f9609,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5440,f646]) ).
fof(f9608,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5440,f147]) ).
fof(f9606,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5440,f188]) ).
fof(f9605,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5440,f190]) ).
fof(f9604,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5440,f149]) ).
fof(f5440,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f5138,f147]) ).
fof(f9580,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5436,f4602]) ).
fof(f9579,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5436,f646]) ).
fof(f9578,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5436,f147]) ).
fof(f9576,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5436,f188]) ).
fof(f9575,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5436,f190]) ).
fof(f9574,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5436,f149]) ).
fof(f5436,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f5138,f149]) ).
fof(f9550,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5415,f4602]) ).
fof(f9549,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5415,f646]) ).
fof(f9548,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5415,f147]) ).
fof(f9546,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5415,f188]) ).
fof(f9545,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5415,f190]) ).
fof(f9544,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5415,f149]) ).
fof(f5415,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f5134,f147]) ).
fof(f9520,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5411,f4602]) ).
fof(f9519,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5411,f646]) ).
fof(f9518,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5411,f147]) ).
fof(f9516,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5411,f188]) ).
fof(f9515,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5411,f190]) ).
fof(f9514,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5411,f149]) ).
fof(f5411,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f5134,f149]) ).
fof(f9490,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5390,f4602]) ).
fof(f9489,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5390,f646]) ).
fof(f9488,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5390,f147]) ).
fof(f9486,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5390,f188]) ).
fof(f9485,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5390,f190]) ).
fof(f9484,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5390,f149]) ).
fof(f5390,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f5118,f147]) ).
fof(f9460,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5386,f4602]) ).
fof(f9459,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5386,f646]) ).
fof(f9458,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5386,f147]) ).
fof(f9456,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5386,f188]) ).
fof(f9455,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5386,f190]) ).
fof(f9454,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5386,f149]) ).
fof(f5386,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f5118,f149]) ).
fof(f9430,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5365,f4602]) ).
fof(f9429,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5365,f646]) ).
fof(f9428,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5365,f147]) ).
fof(f9426,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5365,f188]) ).
fof(f9425,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5365,f190]) ).
fof(f9424,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5365,f149]) ).
fof(f5365,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f5114,f147]) ).
fof(f9400,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5361,f4602]) ).
fof(f9399,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5361,f646]) ).
fof(f9398,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5361,f147]) ).
fof(f9396,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5361,f188]) ).
fof(f9395,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5361,f190]) ).
fof(f9394,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5361,f149]) ).
fof(f5361,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f5114,f149]) ).
fof(f9370,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5340,f4602]) ).
fof(f9369,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5340,f646]) ).
fof(f9368,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5340,f147]) ).
fof(f9366,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,[],[f5340,f188]) ).
fof(f9365,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,[],[f5340,f190]) ).
fof(f9364,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5340,f149]) ).
fof(f5340,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f5098,f147]) ).
fof(f9340,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5336,f4602]) ).
fof(f9339,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5336,f646]) ).
fof(f9338,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5336,f147]) ).
fof(f9336,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,[],[f5336,f188]) ).
fof(f9335,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,[],[f5336,f190]) ).
fof(f9334,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5336,f149]) ).
fof(f5336,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f5098,f149]) ).
fof(f9310,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5315,f4602]) ).
fof(f9309,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5315,f646]) ).
fof(f9308,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5315,f147]) ).
fof(f9306,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,[],[f5315,f188]) ).
fof(f9305,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,[],[f5315,f190]) ).
fof(f9304,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5315,f149]) ).
fof(f5315,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f5094,f147]) ).
fof(f9280,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5311,f4602]) ).
fof(f9279,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5311,f646]) ).
fof(f9278,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5311,f147]) ).
fof(f9276,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,[],[f5311,f188]) ).
fof(f9275,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,[],[f5311,f190]) ).
fof(f9274,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5311,f149]) ).
fof(f5311,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f5094,f149]) ).
fof(f9250,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5290,f4602]) ).
fof(f9249,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5290,f646]) ).
fof(f9248,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5290,f147]) ).
fof(f9246,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,[],[f5290,f188]) ).
fof(f9245,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,[],[f5290,f190]) ).
fof(f9244,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5290,f149]) ).
fof(f5290,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f5078,f147]) ).
fof(f9220,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5286,f4602]) ).
fof(f9219,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5286,f646]) ).
fof(f9218,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5286,f147]) ).
fof(f9216,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,[],[f5286,f188]) ).
fof(f9215,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,[],[f5286,f190]) ).
fof(f9214,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5286,f149]) ).
fof(f5286,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f5078,f149]) ).
fof(f9190,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5265,f4602]) ).
fof(f9189,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5265,f646]) ).
fof(f9188,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5265,f147]) ).
fof(f9186,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,[],[f5265,f188]) ).
fof(f9185,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,[],[f5265,f190]) ).
fof(f9184,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5265,f149]) ).
fof(f5265,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f5074,f147]) ).
fof(f9160,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5261,f4602]) ).
fof(f9159,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5261,f646]) ).
fof(f9158,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5261,f147]) ).
fof(f9156,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,[],[f5261,f188]) ).
fof(f9155,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,[],[f5261,f190]) ).
fof(f9154,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5261,f149]) ).
fof(f5261,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f5074,f149]) ).
fof(f9145,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,sK11(sK6(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f761,f4602]) ).
fof(f9144,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,sK11(powerset(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f761,f646]) ).
fof(f9143,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_rng(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f761,f147]) ).
fof(f9141,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f761,f188]) ).
fof(f9140,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(X0,relation_composition(X1,X2))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f761,f190]) ).
fof(f9139,plain,
! [X0,X1] :
( empty_set = relation_composition(X0,relation_dom(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f761,f149]) ).
fof(f761,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,X1) = empty_set
| ~ empty(X0) ),
inference(resolution,[],[f376,f145]) ).
fof(f9115,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5233,f4602]) ).
fof(f9114,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5233,f646]) ).
fof(f9113,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5233,f147]) ).
fof(f9111,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,[],[f5233,f188]) ).
fof(f9110,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,[],[f5233,f190]) ).
fof(f9109,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5233,f149]) ).
fof(f5233,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f5058,f147]) ).
fof(f9085,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5229,f4602]) ).
fof(f9084,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5229,f646]) ).
fof(f9083,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5229,f147]) ).
fof(f9081,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,[],[f5229,f188]) ).
fof(f9080,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,[],[f5229,f190]) ).
fof(f9079,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5229,f149]) ).
fof(f5229,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f5058,f149]) ).
fof(f9055,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5208,f4602]) ).
fof(f9054,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5208,f646]) ).
fof(f9053,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5208,f147]) ).
fof(f9051,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,[],[f5208,f188]) ).
fof(f9050,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,[],[f5208,f190]) ).
fof(f9049,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5208,f149]) ).
fof(f5208,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f5054,f147]) ).
fof(f9025,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5204,f4602]) ).
fof(f9024,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5204,f646]) ).
fof(f9023,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5204,f147]) ).
fof(f9021,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,[],[f5204,f188]) ).
fof(f9020,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,[],[f5204,f190]) ).
fof(f9019,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5204,f149]) ).
fof(f5204,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f5054,f149]) ).
fof(f8995,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5183,f4602]) ).
fof(f8994,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5183,f646]) ).
fof(f8993,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5183,f147]) ).
fof(f8991,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,[],[f5183,f188]) ).
fof(f8990,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,[],[f5183,f190]) ).
fof(f8989,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5183,f149]) ).
fof(f5183,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f5037,f147]) ).
fof(f8965,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5179,f4602]) ).
fof(f8964,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5179,f646]) ).
fof(f8963,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5179,f147]) ).
fof(f8961,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,[],[f5179,f188]) ).
fof(f8960,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,[],[f5179,f190]) ).
fof(f8959,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5179,f149]) ).
fof(f5179,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f5037,f149]) ).
fof(f8935,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5158,f4602]) ).
fof(f8934,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5158,f646]) ).
fof(f8933,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_rng(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5158,f147]) ).
fof(f8931,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,[],[f5158,f188]) ).
fof(f8930,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,[],[f5158,f190]) ).
fof(f8929,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_rng(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5158,f149]) ).
fof(f5158,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f5033,f147]) ).
fof(f8905,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5154,f4602]) ).
fof(f8904,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5154,f646]) ).
fof(f8903,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_dom(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5154,f147]) ).
fof(f8901,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,[],[f5154,f188]) ).
fof(f8900,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,[],[f5154,f190]) ).
fof(f8899,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_dom(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5154,f149]) ).
fof(f5154,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f5033,f149]) ).
fof(f8885,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4950,f4602]) ).
fof(f8884,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4950,f646]) ).
fof(f8883,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4950,f147]) ).
fof(f8881,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4950,f188]) ).
fof(f8880,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4950,f190]) ).
fof(f8879,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4950,f149]) ).
fof(f4950,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_rng(X0))))) ),
inference(resolution,[],[f4778,f147]) ).
fof(f8865,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4946,f4602]) ).
fof(f8864,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4946,f646]) ).
fof(f8863,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4946,f147]) ).
fof(f8861,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4946,f188]) ).
fof(f8860,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4946,f190]) ).
fof(f8859,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4946,f149]) ).
fof(f4946,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_dom(X0))))) ),
inference(resolution,[],[f4778,f149]) ).
fof(f8845,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_rng(sK11(sK6(powerset(X0))))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4857,f4602]) ).
fof(f8844,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4857,f646]) ).
fof(f8843,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4857,f147]) ).
fof(f8841,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4857,f188]) ).
fof(f8840,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4857,f190]) ).
fof(f8839,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4857,f149]) ).
fof(f4857,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(sK6(powerset(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f4659,f147]) ).
fof(f8820,plain,
! [X0,X1] :
( relation_rng(relation_rng(sK11(sK6(powerset(X0))))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f420,f4602]) ).
fof(f8819,plain,
! [X0,X1] :
( relation_rng(relation_rng(sK11(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f420,f646]) ).
fof(f8818,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_rng(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f420,f147]) ).
fof(f8816,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f420,f188]) ).
fof(f8815,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f420,f190]) ).
fof(f8814,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_dom(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f420,f149]) ).
fof(f420,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f284,f147]) ).
fof(f8800,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_dom(sK11(sK6(powerset(X0))))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4853,f4602]) ).
fof(f8799,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4853,f646]) ).
fof(f8798,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4853,f147]) ).
fof(f8796,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4853,f188]) ).
fof(f8795,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4853,f190]) ).
fof(f8794,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4853,f149]) ).
fof(f4853,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(sK6(powerset(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f4659,f149]) ).
fof(f8765,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4386,f4602]) ).
fof(f8764,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4386,f646]) ).
fof(f8763,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4386,f147]) ).
fof(f8761,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,[],[f4386,f188]) ).
fof(f8760,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,[],[f4386,f190]) ).
fof(f8759,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4386,f149]) ).
fof(f4386,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f3937,f147]) ).
fof(f8730,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4382,f4602]) ).
fof(f8729,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4382,f646]) ).
fof(f8728,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4382,f147]) ).
fof(f8726,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,[],[f4382,f188]) ).
fof(f8725,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,[],[f4382,f190]) ).
fof(f8724,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4382,f149]) ).
fof(f4382,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f3937,f149]) ).
fof(f8695,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4357,f4602]) ).
fof(f8694,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4357,f646]) ).
fof(f8693,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4357,f147]) ).
fof(f8691,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,[],[f4357,f188]) ).
fof(f8690,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,[],[f4357,f190]) ).
fof(f8689,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4357,f149]) ).
fof(f4357,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f3933,f147]) ).
fof(f8660,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4353,f4602]) ).
fof(f8659,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4353,f646]) ).
fof(f8658,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4353,f147]) ).
fof(f8656,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,[],[f4353,f188]) ).
fof(f8655,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,[],[f4353,f190]) ).
fof(f8654,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4353,f149]) ).
fof(f4353,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f3933,f149]) ).
fof(f8625,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4328,f4602]) ).
fof(f8624,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4328,f646]) ).
fof(f8623,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4328,f147]) ).
fof(f8621,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,[],[f4328,f188]) ).
fof(f8620,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,[],[f4328,f190]) ).
fof(f8619,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4328,f149]) ).
fof(f4328,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f3913,f147]) ).
fof(f8590,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4324,f4602]) ).
fof(f8589,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4324,f646]) ).
fof(f8588,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4324,f147]) ).
fof(f8586,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,[],[f4324,f188]) ).
fof(f8585,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,[],[f4324,f190]) ).
fof(f8584,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4324,f149]) ).
fof(f4324,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f3913,f149]) ).
fof(f8555,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4299,f4602]) ).
fof(f8554,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4299,f646]) ).
fof(f8553,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4299,f147]) ).
fof(f8551,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,[],[f4299,f188]) ).
fof(f8550,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,[],[f4299,f190]) ).
fof(f8549,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4299,f149]) ).
fof(f4299,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f3909,f147]) ).
fof(f8520,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4295,f4602]) ).
fof(f8519,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4295,f646]) ).
fof(f8518,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4295,f147]) ).
fof(f8516,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,[],[f4295,f188]) ).
fof(f8515,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,[],[f4295,f190]) ).
fof(f8514,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4295,f149]) ).
fof(f4295,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f3909,f149]) ).
fof(f8485,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4270,f4602]) ).
fof(f8484,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4270,f646]) ).
fof(f8483,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4270,f147]) ).
fof(f8481,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,[],[f4270,f188]) ).
fof(f8480,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,[],[f4270,f190]) ).
fof(f8479,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4270,f149]) ).
fof(f4270,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f3885,f147]) ).
fof(f8450,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4266,f4602]) ).
fof(f8449,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4266,f646]) ).
fof(f8448,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4266,f147]) ).
fof(f8446,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,[],[f4266,f188]) ).
fof(f8445,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,[],[f4266,f190]) ).
fof(f8444,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4266,f149]) ).
fof(f4266,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f3885,f149]) ).
fof(f8425,plain,
! [X0,X1] :
( relation_rng(relation_dom(sK11(sK6(powerset(X0))))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f416,f4602]) ).
fof(f8424,plain,
! [X0,X1] :
( relation_rng(relation_dom(sK11(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f416,f646]) ).
fof(f8423,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_rng(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f416,f147]) ).
fof(f8421,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f416,f188]) ).
fof(f8420,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f416,f190]) ).
fof(f8419,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_dom(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f416,f149]) ).
fof(f416,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f284,f149]) ).
fof(f8390,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4241,f4602]) ).
fof(f8389,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4241,f646]) ).
fof(f8388,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4241,f147]) ).
fof(f8386,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,[],[f4241,f188]) ).
fof(f8385,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,[],[f4241,f190]) ).
fof(f8384,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4241,f149]) ).
fof(f4241,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f3881,f147]) ).
fof(f8355,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4237,f4602]) ).
fof(f8354,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4237,f646]) ).
fof(f8353,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4237,f147]) ).
fof(f8351,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,[],[f4237,f188]) ).
fof(f8350,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,[],[f4237,f190]) ).
fof(f8349,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4237,f149]) ).
fof(f4237,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f3881,f149]) ).
fof(f8320,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4212,f4602]) ).
fof(f8319,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4212,f646]) ).
fof(f8318,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4212,f147]) ).
fof(f8316,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,[],[f4212,f188]) ).
fof(f8315,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,[],[f4212,f190]) ).
fof(f8314,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4212,f149]) ).
fof(f4212,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f3861,f147]) ).
fof(f8285,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4208,f4602]) ).
fof(f8284,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4208,f646]) ).
fof(f8283,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4208,f147]) ).
fof(f8281,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,[],[f4208,f188]) ).
fof(f8280,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,[],[f4208,f190]) ).
fof(f8279,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4208,f149]) ).
fof(f4208,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f3861,f149]) ).
fof(f8250,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4183,f4602]) ).
fof(f8249,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4183,f646]) ).
fof(f8248,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4183,f147]) ).
fof(f8246,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,[],[f4183,f188]) ).
fof(f8245,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,[],[f4183,f190]) ).
fof(f8244,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4183,f149]) ).
fof(f4183,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f3857,f147]) ).
fof(f8215,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4179,f4602]) ).
fof(f8214,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4179,f646]) ).
fof(f8213,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4179,f147]) ).
fof(f8211,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,[],[f4179,f188]) ).
fof(f8210,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,[],[f4179,f190]) ).
fof(f8209,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4179,f149]) ).
fof(f4179,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f3857,f149]) ).
fof(f8185,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2374,f4602]) ).
fof(f8184,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2374,f646]) ).
fof(f8183,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2374,f147]) ).
fof(f8181,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK19),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2374,f188]) ).
fof(f8180,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK19),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2374,f190]) ).
fof(f8179,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2374,f149]) ).
fof(f2374,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),sK19),sK5) ),
inference(resolution,[],[f2088,f147]) ).
fof(f8155,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2370,f4602]) ).
fof(f8154,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2370,f646]) ).
fof(f8153,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2370,f147]) ).
fof(f8151,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK19),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2370,f188]) ).
fof(f8150,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK19),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2370,f190]) ).
fof(f8149,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2370,f149]) ).
fof(f2370,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),sK19),sK5) ),
inference(resolution,[],[f2088,f149]) ).
fof(f8125,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2350,f4602]) ).
fof(f8124,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2350,f646]) ).
fof(f8123,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2350,f147]) ).
fof(f8121,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK19),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2350,f188]) ).
fof(f8120,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK19),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2350,f190]) ).
fof(f8119,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2350,f149]) ).
fof(f2350,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),sK19),sK5) ),
inference(resolution,[],[f2084,f147]) ).
fof(f8095,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2346,f4602]) ).
fof(f8094,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2346,f646]) ).
fof(f8093,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2346,f147]) ).
fof(f8091,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK19),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2346,f188]) ).
fof(f8090,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK19),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2346,f190]) ).
fof(f8089,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2346,f149]) ).
fof(f2346,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),sK19),sK5) ),
inference(resolution,[],[f2084,f149]) ).
fof(f8065,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2326,f4602]) ).
fof(f8064,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2326,f646]) ).
fof(f8063,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2326,f147]) ).
fof(f8061,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK18),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2326,f188]) ).
fof(f8060,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK18),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2326,f190]) ).
fof(f8059,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2326,f149]) ).
fof(f2326,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),sK18),sK5) ),
inference(resolution,[],[f2069,f147]) ).
fof(f8040,plain,
! [X0,X1] :
( relation_dom(relation_rng(sK11(sK6(powerset(X0))))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f402,f4602]) ).
fof(f8039,plain,
! [X0,X1] :
( relation_dom(relation_rng(sK11(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f402,f646]) ).
fof(f8038,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_rng(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f402,f147]) ).
fof(f8036,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f402,f188]) ).
fof(f8035,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f402,f190]) ).
fof(f8034,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_dom(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f402,f149]) ).
fof(f402,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f282,f147]) ).
fof(f8010,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2322,f4602]) ).
fof(f8009,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2322,f646]) ).
fof(f8008,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2322,f147]) ).
fof(f8006,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK18),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2322,f188]) ).
fof(f8005,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK18),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2322,f190]) ).
fof(f8004,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2322,f149]) ).
fof(f2322,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),sK18),sK5) ),
inference(resolution,[],[f2069,f149]) ).
fof(f7980,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2302,f4602]) ).
fof(f7979,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2302,f646]) ).
fof(f7978,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2302,f147]) ).
fof(f7976,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK18),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2302,f188]) ).
fof(f7975,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK18),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2302,f190]) ).
fof(f7974,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2302,f149]) ).
fof(f2302,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),sK18),sK5) ),
inference(resolution,[],[f2065,f147]) ).
fof(f7950,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2298,f4602]) ).
fof(f7949,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2298,f646]) ).
fof(f7948,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2298,f147]) ).
fof(f7946,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK18),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2298,f188]) ).
fof(f7945,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK18),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2298,f190]) ).
fof(f7944,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2298,f149]) ).
fof(f2298,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),sK18),sK5) ),
inference(resolution,[],[f2065,f149]) ).
fof(f7920,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2278,f4602]) ).
fof(f7919,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2278,f646]) ).
fof(f7918,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2278,f147]) ).
fof(f7916,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,[],[f2278,f188]) ).
fof(f7915,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,[],[f2278,f190]) ).
fof(f7914,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2278,f149]) ).
fof(f2278,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),sK17),sK5) ),
inference(resolution,[],[f2050,f147]) ).
fof(f7890,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2274,f4602]) ).
fof(f7889,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2274,f646]) ).
fof(f7888,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2274,f147]) ).
fof(f7886,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,[],[f2274,f188]) ).
fof(f7885,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,[],[f2274,f190]) ).
fof(f7884,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2274,f149]) ).
fof(f2274,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),sK17),sK5) ),
inference(resolution,[],[f2050,f149]) ).
fof(f7860,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2254,f4602]) ).
fof(f7859,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2254,f646]) ).
fof(f7858,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2254,f147]) ).
fof(f7856,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,[],[f2254,f188]) ).
fof(f7855,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,[],[f2254,f190]) ).
fof(f7854,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2254,f149]) ).
fof(f2254,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),sK17),sK5) ),
inference(resolution,[],[f2046,f147]) ).
fof(f7830,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2250,f4602]) ).
fof(f7829,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2250,f646]) ).
fof(f7828,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2250,f147]) ).
fof(f7826,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,[],[f2250,f188]) ).
fof(f7825,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,[],[f2250,f190]) ).
fof(f7824,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2250,f149]) ).
fof(f2250,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),sK17),sK5) ),
inference(resolution,[],[f2046,f149]) ).
fof(f7800,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2227,f4602]) ).
fof(f7799,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2227,f646]) ).
fof(f7798,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2227,f147]) ).
fof(f7796,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,[],[f2227,f188]) ).
fof(f7795,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,[],[f2227,f190]) ).
fof(f7794,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2227,f149]) ).
fof(f2227,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),sK15),sK5) ),
inference(resolution,[],[f2029,f147]) ).
fof(f7770,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2223,f4602]) ).
fof(f7769,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2223,f646]) ).
fof(f7768,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2223,f147]) ).
fof(f7766,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,[],[f2223,f188]) ).
fof(f7765,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,[],[f2223,f190]) ).
fof(f7764,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2223,f149]) ).
fof(f2223,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),sK15),sK5) ),
inference(resolution,[],[f2029,f149]) ).
fof(f7740,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2203,f4602]) ).
fof(f7739,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2203,f646]) ).
fof(f7738,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2203,f147]) ).
fof(f7736,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,[],[f2203,f188]) ).
fof(f7735,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,[],[f2203,f190]) ).
fof(f7734,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2203,f149]) ).
fof(f2203,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),sK15),sK5) ),
inference(resolution,[],[f2025,f147]) ).
fof(f7710,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2199,f4602]) ).
fof(f7709,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2199,f646]) ).
fof(f7708,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2199,f147]) ).
fof(f7706,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,[],[f2199,f188]) ).
fof(f7705,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,[],[f2199,f190]) ).
fof(f7704,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2199,f149]) ).
fof(f2199,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),sK15),sK5) ),
inference(resolution,[],[f2025,f149]) ).
fof(f7685,plain,
! [X0,X1] :
( relation_dom(relation_dom(sK11(sK6(powerset(X0))))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f398,f4602]) ).
fof(f7684,plain,
! [X0,X1] :
( relation_dom(relation_dom(sK11(powerset(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f398,f646]) ).
fof(f7683,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_rng(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f398,f147]) ).
fof(f7681,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f398,f188]) ).
fof(f7680,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = X2
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f398,f190]) ).
fof(f7679,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_dom(X0))) = X1
| ~ empty(X0) ),
inference(resolution,[],[f398,f149]) ).
fof(f398,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f282,f149]) ).
fof(f7655,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2179,f4602]) ).
fof(f7654,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2179,f646]) ).
fof(f7653,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2179,f147]) ).
fof(f7651,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,[],[f2179,f188]) ).
fof(f7650,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,[],[f2179,f190]) ).
fof(f7649,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2179,f149]) ).
fof(f2179,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),sK5),sK5) ),
inference(resolution,[],[f2010,f147]) ).
fof(f7625,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2175,f4602]) ).
fof(f7624,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2175,f646]) ).
fof(f7623,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2175,f147]) ).
fof(f7621,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,[],[f2175,f188]) ).
fof(f7620,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,[],[f2175,f190]) ).
fof(f7619,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2175,f149]) ).
fof(f2175,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),sK5),sK5) ),
inference(resolution,[],[f2010,f149]) ).
fof(f7595,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2155,f4602]) ).
fof(f7594,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2155,f646]) ).
fof(f7593,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2155,f147]) ).
fof(f7591,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,[],[f2155,f188]) ).
fof(f7590,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,[],[f2155,f190]) ).
fof(f7589,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2155,f149]) ).
fof(f2155,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),sK5),sK5) ),
inference(resolution,[],[f2006,f147]) ).
fof(f7565,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2151,f4602]) ).
fof(f7564,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2151,f646]) ).
fof(f7563,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2151,f147]) ).
fof(f7561,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,[],[f2151,f188]) ).
fof(f7560,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,[],[f2151,f190]) ).
fof(f7559,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2151,f149]) ).
fof(f2151,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),sK5),sK5) ),
inference(resolution,[],[f2006,f149]) ).
fof(f7535,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2131,f4602]) ).
fof(f7534,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2131,f646]) ).
fof(f7533,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_rng(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2131,f147]) ).
fof(f7531,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,[],[f2131,f188]) ).
fof(f7530,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,[],[f2131,f190]) ).
fof(f7529,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_rng(relation_dom(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2131,f149]) ).
fof(f2131,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_rng(X0)),empty_set),sK5) ),
inference(resolution,[],[f1991,f147]) ).
fof(f7505,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2127,f4602]) ).
fof(f7504,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2127,f646]) ).
fof(f7503,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_rng(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2127,f147]) ).
fof(f7501,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,[],[f2127,f188]) ).
fof(f7500,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,[],[f2127,f190]) ).
fof(f7499,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_dom(relation_dom(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2127,f149]) ).
fof(f2127,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(relation_dom(X0)),empty_set),sK5) ),
inference(resolution,[],[f1991,f149]) ).
fof(f7475,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2107,f4602]) ).
fof(f7474,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2107,f646]) ).
fof(f7473,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_rng(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2107,f147]) ).
fof(f7471,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,[],[f2107,f188]) ).
fof(f7470,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,[],[f2107,f190]) ).
fof(f7469,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_rng(relation_dom(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2107,f149]) ).
fof(f2107,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_rng(X0)),empty_set),sK5) ),
inference(resolution,[],[f1987,f147]) ).
fof(f7445,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2103,f4602]) ).
fof(f7444,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2103,f646]) ).
fof(f7443,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_rng(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2103,f147]) ).
fof(f7441,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,[],[f2103,f188]) ).
fof(f7440,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,[],[f2103,f190]) ).
fof(f7439,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_dom(relation_dom(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2103,f149]) ).
fof(f2103,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(relation_dom(X0)),empty_set),sK5) ),
inference(resolution,[],[f1987,f149]) ).
fof(f7420,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1955,f4602]) ).
fof(f7419,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1955,f646]) ).
fof(f7418,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1955,f147]) ).
fof(f7416,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1955,f188]) ).
fof(f7415,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1955,f190]) ).
fof(f7414,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1955,f149]) ).
fof(f1955,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1711,f147]) ).
fof(f7395,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1951,f4602]) ).
fof(f7394,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1951,f646]) ).
fof(f7393,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1951,f147]) ).
fof(f7391,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1951,f188]) ).
fof(f7390,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1951,f190]) ).
fof(f7389,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1951,f149]) ).
fof(f1951,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1711,f149]) ).
fof(f7370,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1936,f4602]) ).
fof(f7369,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1936,f646]) ).
fof(f7368,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1936,f147]) ).
fof(f7366,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1936,f188]) ).
fof(f7365,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1936,f190]) ).
fof(f7364,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1936,f149]) ).
fof(f1936,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1707,f147]) ).
fof(f3048,plain,
! [X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK7(X0,X1) = apply(X1,sK8(X0,X1))
| sK8(X0,X1) = apply(X0,sK7(X0,X1)) ),
inference(resolution,[],[f162,f167]) ).
fof(f7344,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1932,f4602]) ).
fof(f7343,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1932,f646]) ).
fof(f7342,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1932,f147]) ).
fof(f7340,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1932,f188]) ).
fof(f7339,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1932,f190]) ).
fof(f7338,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1932,f149]) ).
fof(f1932,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1707,f149]) ).
fof(f7319,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1917,f4602]) ).
fof(f7318,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1917,f646]) ).
fof(f7317,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1917,f147]) ).
fof(f7315,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1917,f188]) ).
fof(f7314,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1917,f190]) ).
fof(f7313,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1917,f149]) ).
fof(f1917,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1691,f147]) ).
fof(f7294,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1913,f4602]) ).
fof(f7293,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1913,f646]) ).
fof(f7292,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1913,f147]) ).
fof(f7290,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1913,f188]) ).
fof(f7289,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1913,f190]) ).
fof(f7288,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1913,f149]) ).
fof(f1913,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1691,f149]) ).
fof(f7269,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1898,f4602]) ).
fof(f7268,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1898,f646]) ).
fof(f7267,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1898,f147]) ).
fof(f7265,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1898,f188]) ).
fof(f7264,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1898,f190]) ).
fof(f7263,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1898,f149]) ).
fof(f1898,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1687,f147]) ).
fof(f7244,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1894,f4602]) ).
fof(f7243,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1894,f646]) ).
fof(f7242,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1894,f147]) ).
fof(f7240,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1894,f188]) ).
fof(f7239,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1894,f190]) ).
fof(f7238,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1894,f149]) ).
fof(f1894,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1687,f149]) ).
fof(f7219,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1879,f4602]) ).
fof(f7218,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1879,f646]) ).
fof(f7217,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1879,f147]) ).
fof(f7215,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,[],[f1879,f188]) ).
fof(f7214,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,[],[f1879,f190]) ).
fof(f7213,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1879,f149]) ).
fof(f1879,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1667,f147]) ).
fof(f7194,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1875,f4602]) ).
fof(f7193,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1875,f646]) ).
fof(f7192,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1875,f147]) ).
fof(f7190,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,[],[f1875,f188]) ).
fof(f7189,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,[],[f1875,f190]) ).
fof(f7188,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1875,f149]) ).
fof(f1875,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1667,f149]) ).
fof(f7169,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1860,f4602]) ).
fof(f7168,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1860,f646]) ).
fof(f7167,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1860,f147]) ).
fof(f7165,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,[],[f1860,f188]) ).
fof(f7164,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,[],[f1860,f190]) ).
fof(f7163,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1860,f149]) ).
fof(f1860,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1663,f147]) ).
fof(f7144,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1856,f4602]) ).
fof(f7143,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1856,f646]) ).
fof(f7142,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1856,f147]) ).
fof(f7140,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,[],[f1856,f188]) ).
fof(f7139,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,[],[f1856,f190]) ).
fof(f7138,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1856,f149]) ).
fof(f1856,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1663,f149]) ).
fof(f7119,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1841,f4602]) ).
fof(f7118,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1841,f646]) ).
fof(f7117,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1841,f147]) ).
fof(f7115,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,[],[f1841,f188]) ).
fof(f7114,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,[],[f1841,f190]) ).
fof(f7113,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1841,f149]) ).
fof(f1841,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1647,f147]) ).
fof(f7094,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1837,f4602]) ).
fof(f7093,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1837,f646]) ).
fof(f7092,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1837,f147]) ).
fof(f7090,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,[],[f1837,f188]) ).
fof(f7089,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,[],[f1837,f190]) ).
fof(f7088,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1837,f149]) ).
fof(f1837,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1647,f149]) ).
fof(f7084,plain,
! [X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK7(X0,X1) = apply(X1,sK8(X0,X1))
| ~ empty(relation_rng(X1)) ),
inference(resolution,[],[f3049,f199]) ).
fof(f7083,plain,
! [X0,X1] :
( ~ in(relation_rng(X1),sK7(X0,X1))
| relation_dom(X0) != relation_rng(X1)
| sK7(X0,X1) = apply(X1,sK8(X0,X1))
| sP1(X0,X1) ),
inference(resolution,[],[f3049,f185]) ).
fof(f7082,plain,
! [X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK7(X0,X1) = apply(X1,sK8(X0,X1))
| sK7(X0,X1) = apply(X1,apply(function_inverse(X1),sK7(X0,X1)))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f3049,f194]) ).
fof(f7081,plain,
! [X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK7(X0,X1) = apply(X1,sK8(X0,X1))
| sK7(X0,X1) = apply(relation_composition(function_inverse(X1),X1),sK7(X0,X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f3049,f195]) ).
fof(f7080,plain,
! [X2,X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK7(X0,X1) = apply(X1,sK8(X0,X1))
| sK7(X0,X1) = apply(X1,apply(X2,sK7(X0,X1)))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f3049,f2249]) ).
fof(f3049,plain,
! [X0,X1] :
( in(sK7(X0,X1),relation_rng(X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1)
| sK7(X0,X1) = apply(X1,sK8(X0,X1)) ),
inference(resolution,[],[f162,f166]) ).
fof(f7061,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1820,f4602]) ).
fof(f7060,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1820,f646]) ).
fof(f7059,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1820,f147]) ).
fof(f7057,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,[],[f1820,f188]) ).
fof(f7056,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,[],[f1820,f190]) ).
fof(f7055,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1820,f149]) ).
fof(f1820,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1643,f147]) ).
fof(f7036,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1816,f4602]) ).
fof(f7035,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1816,f646]) ).
fof(f7034,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1816,f147]) ).
fof(f7032,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,[],[f1816,f188]) ).
fof(f7031,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,[],[f1816,f190]) ).
fof(f7030,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1816,f149]) ).
fof(f1816,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1643,f149]) ).
fof(f7011,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1801,f4602]) ).
fof(f7010,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1801,f646]) ).
fof(f7009,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1801,f147]) ).
fof(f7007,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,[],[f1801,f188]) ).
fof(f7006,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,[],[f1801,f190]) ).
fof(f7005,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1801,f149]) ).
fof(f1801,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1623,f147]) ).
fof(f6986,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1797,f4602]) ).
fof(f6985,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1797,f646]) ).
fof(f6984,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1797,f147]) ).
fof(f6982,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,[],[f1797,f188]) ).
fof(f6981,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,[],[f1797,f190]) ).
fof(f6980,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1797,f149]) ).
fof(f1797,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1623,f149]) ).
fof(f6961,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5584,f4602]) ).
fof(f6960,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(powerset(X0)))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5584,f646]) ).
fof(f6959,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_rng(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5584,f147]) ).
fof(f6957,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),sK19))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5584,f188]) ).
fof(f6956,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),sK19))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5584,f190]) ).
fof(f6955,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_dom(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5584,f149]) ).
fof(f5584,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(powerset(X0)),sK19)) ),
inference(resolution,[],[f5474,f646]) ).
fof(f6936,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5564,f4602]) ).
fof(f6935,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(powerset(X0)))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5564,f646]) ).
fof(f6934,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_rng(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5564,f147]) ).
fof(f6932,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),sK18))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5564,f188]) ).
fof(f6931,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),sK18))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5564,f190]) ).
fof(f6930,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_dom(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5564,f149]) ).
fof(f5564,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(powerset(X0)),sK18)) ),
inference(resolution,[],[f5473,f646]) ).
fof(f6911,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5544,f4602]) ).
fof(f6910,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(powerset(X0)))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5544,f646]) ).
fof(f6909,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_rng(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5544,f147]) ).
fof(f6907,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5544,f188]) ).
fof(f6906,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5544,f190]) ).
fof(f6905,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_dom(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5544,f149]) ).
fof(f5544,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(powerset(X0)),sK17)) ),
inference(resolution,[],[f5472,f646]) ).
fof(f6886,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5524,f4602]) ).
fof(f6885,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(powerset(X0)))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5524,f646]) ).
fof(f6884,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_rng(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5524,f147]) ).
fof(f6882,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5524,f188]) ).
fof(f6881,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5524,f190]) ).
fof(f6880,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_dom(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5524,f149]) ).
fof(f5524,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(powerset(X0)),sK15)) ),
inference(resolution,[],[f5470,f646]) ).
fof(f6861,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5503,f4602]) ).
fof(f6860,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5503,f646]) ).
fof(f6859,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_rng(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5503,f147]) ).
fof(f6857,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5503,f188]) ).
fof(f6856,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5503,f190]) ).
fof(f6855,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_dom(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5503,f149]) ).
fof(f5503,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(powerset(X0)),sK5)) ),
inference(resolution,[],[f5469,f646]) ).
fof(f6836,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5483,f4602]) ).
fof(f6835,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(sK11(powerset(X0)))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5483,f646]) ).
fof(f6834,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_rng(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5483,f147]) ).
fof(f6832,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5483,f188]) ).
fof(f6831,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_composition(X0,X1))),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5483,f190]) ).
fof(f6830,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK11(powerset(relation_dom(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5483,f149]) ).
fof(f5483,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(powerset(X0)),empty_set)) ),
inference(resolution,[],[f5467,f646]) ).
fof(f6811,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5139,f4602]) ).
fof(f6810,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,sK11(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5139,f646]) ).
fof(f6809,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,sK11(powerset(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5139,f147]) ).
fof(f6807,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5139,f188]) ).
fof(f6806,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5139,f190]) ).
fof(f6805,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,sK11(powerset(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5139,f149]) ).
fof(f5139,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK19,sK11(powerset(X0)))) ),
inference(resolution,[],[f5029,f646]) ).
fof(f6801,plain,
! [X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK8(X0,X1) = apply(X0,sK7(X0,X1))
| ~ empty(relation_dom(X1)) ),
inference(resolution,[],[f2806,f199]) ).
fof(f6800,plain,
! [X0,X1] :
( ~ in(relation_dom(X1),sK8(X0,X1))
| relation_dom(X0) != relation_rng(X1)
| sK8(X0,X1) = apply(X0,sK7(X0,X1))
| sP1(X0,X1) ),
inference(resolution,[],[f2806,f185]) ).
fof(f6799,plain,
! [X2,X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK8(X0,X1) = apply(X0,sK7(X0,X1))
| in(apply(X1,sK8(X0,X1)),relation_rng(X1))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f2806,f219]) ).
fof(f6798,plain,
! [X2,X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| sK8(X0,X1) = apply(X0,sK7(X0,X1))
| sK8(X0,X1) = apply(X2,apply(X1,sK8(X0,X1)))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f2806,f218]) ).
fof(f2806,plain,
! [X0,X1] :
( in(sK8(X0,X1),relation_dom(X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1)
| sK8(X0,X1) = apply(X0,sK7(X0,X1)) ),
inference(resolution,[],[f161,f167]) ).
fof(f6779,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5119,f4602]) ).
fof(f6778,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,sK11(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5119,f646]) ).
fof(f6777,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,sK11(powerset(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5119,f147]) ).
fof(f6775,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5119,f188]) ).
fof(f6774,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5119,f190]) ).
fof(f6773,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,sK11(powerset(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5119,f149]) ).
fof(f5119,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK18,sK11(powerset(X0)))) ),
inference(resolution,[],[f5028,f646]) ).
fof(f6754,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5099,f4602]) ).
fof(f6753,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,sK11(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5099,f646]) ).
fof(f6752,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,sK11(powerset(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5099,f147]) ).
fof(f6750,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5099,f188]) ).
fof(f6749,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5099,f190]) ).
fof(f6748,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,sK11(powerset(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5099,f149]) ).
fof(f5099,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,sK11(powerset(X0)))) ),
inference(resolution,[],[f5027,f646]) ).
fof(f6729,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5079,f4602]) ).
fof(f6728,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,sK11(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5079,f646]) ).
fof(f6727,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,sK11(powerset(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5079,f147]) ).
fof(f6725,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5079,f188]) ).
fof(f6724,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5079,f190]) ).
fof(f6723,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,sK11(powerset(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5079,f149]) ).
fof(f5079,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,sK11(powerset(X0)))) ),
inference(resolution,[],[f5025,f646]) ).
fof(f6704,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5059,f4602]) ).
fof(f6703,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,sK11(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5059,f646]) ).
fof(f6702,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,sK11(powerset(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5059,f147]) ).
fof(f6700,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5059,f188]) ).
fof(f6699,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5059,f190]) ).
fof(f6698,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,sK11(powerset(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5059,f149]) ).
fof(f5059,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,sK11(powerset(X0)))) ),
inference(resolution,[],[f5024,f646]) ).
fof(f6679,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,sK11(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f5038,f4602]) ).
fof(f6678,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,sK11(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5038,f646]) ).
fof(f6677,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,sK11(powerset(relation_rng(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5038,f147]) ).
fof(f6675,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5038,f188]) ).
fof(f6674,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5038,f190]) ).
fof(f6673,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,sK11(powerset(relation_dom(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5038,f149]) ).
fof(f5038,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,sK11(powerset(X0)))) ),
inference(resolution,[],[f5022,f646]) ).
fof(f6654,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(sK6(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4784,f4602]) ).
fof(f6653,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(sK6(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4784,f646]) ).
fof(f6652,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(sK6(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4784,f147]) ).
fof(f6650,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(sK11(sK6(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4784,f188]) ).
fof(f6649,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(sK11(sK6(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4784,f190]) ).
fof(f6648,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(sK6(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4784,f149]) ).
fof(f4784,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f3783]) ).
fof(f6629,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(sK6(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4783,f4602]) ).
fof(f6628,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(sK6(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4783,f646]) ).
fof(f6627,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(sK6(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4783,f147]) ).
fof(f6625,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(sK11(sK6(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4783,f188]) ).
fof(f6624,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(sK11(sK6(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4783,f190]) ).
fof(f6623,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(sK6(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4783,f149]) ).
fof(f4783,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f3779]) ).
fof(f6604,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(sK11(sK6(powerset(X0))))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4665,f4602]) ).
fof(f6603,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4665,f646]) ).
fof(f6602,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4665,f147]) ).
fof(f6600,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4665,f188]) ).
fof(f6599,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4665,f190]) ).
fof(f6598,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(sK6(powerset(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4665,f149]) ).
fof(f4665,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK5) ),
inference(resolution,[],[f4602,f782]) ).
fof(f6574,plain,
! [X0,X1] :
( in(sK7(X0,X1),relation_rng(X1))
| relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| ~ empty(relation_dom(X1)) ),
inference(resolution,[],[f2807,f199]) ).
fof(f6573,plain,
! [X0,X1] :
( in(sK7(X0,X1),relation_rng(X1))
| relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| ~ in(relation_dom(X1),sK8(X0,X1)) ),
inference(resolution,[],[f2807,f185]) ).
fof(f6572,plain,
! [X2,X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| in(sK7(X0,X1),relation_rng(X1))
| in(apply(X1,sK8(X0,X1)),relation_rng(X1))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f2807,f219]) ).
fof(f6571,plain,
! [X2,X0,X1] :
( relation_dom(X0) != relation_rng(X1)
| sP1(X0,X1)
| in(sK7(X0,X1),relation_rng(X1))
| sK8(X0,X1) = apply(X2,apply(X1,sK8(X0,X1)))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f2807,f218]) ).
fof(f2807,plain,
! [X0,X1] :
( in(sK8(X0,X1),relation_dom(X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1)
| in(sK7(X0,X1),relation_rng(X1)) ),
inference(resolution,[],[f161,f166]) ).
fof(f6552,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(sK11(sK6(powerset(X0))))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4664,f4602]) ).
fof(f6551,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4664,f646]) ).
fof(f6550,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4664,f147]) ).
fof(f6548,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4664,f188]) ).
fof(f6547,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4664,f190]) ).
fof(f6546,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(sK6(powerset(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4664,f149]) ).
fof(f4664,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK5) ),
inference(resolution,[],[f4602,f778]) ).
fof(f6522,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4159,f4602]) ).
fof(f6521,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4159,f646]) ).
fof(f6520,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4159,f147]) ).
fof(f6518,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4159,f188]) ).
fof(f6517,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4159,f190]) ).
fof(f6516,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4159,f149]) ).
fof(f4159,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_rng(X0))))) ),
inference(resolution,[],[f3842,f147]) ).
fof(f6492,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4155,f4602]) ).
fof(f6491,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4155,f646]) ).
fof(f6490,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4155,f147]) ).
fof(f6488,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4155,f188]) ).
fof(f6487,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4155,f190]) ).
fof(f6486,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4155,f149]) ).
fof(f4155,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_dom(X0))))) ),
inference(resolution,[],[f3842,f149]) ).
fof(f6462,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4135,f4602]) ).
fof(f6461,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4135,f646]) ).
fof(f6460,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4135,f147]) ).
fof(f6458,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4135,f188]) ).
fof(f6457,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4135,f190]) ).
fof(f6456,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4135,f149]) ).
fof(f4135,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_rng(X0))))) ),
inference(resolution,[],[f3838,f147]) ).
fof(f6432,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4131,f4602]) ).
fof(f6431,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4131,f646]) ).
fof(f6430,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4131,f147]) ).
fof(f6428,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4131,f188]) ).
fof(f6427,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4131,f190]) ).
fof(f6426,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4131,f149]) ).
fof(f4131,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_dom(X0))))) ),
inference(resolution,[],[f3838,f149]) ).
fof(f6402,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4111,f4602]) ).
fof(f6401,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4111,f646]) ).
fof(f6400,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4111,f147]) ).
fof(f6398,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4111,f188]) ).
fof(f6397,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4111,f190]) ).
fof(f6396,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4111,f149]) ).
fof(f4111,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_rng(X0))))) ),
inference(resolution,[],[f3824,f147]) ).
fof(f6372,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4107,f4602]) ).
fof(f6371,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4107,f646]) ).
fof(f6370,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4107,f147]) ).
fof(f6368,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4107,f188]) ).
fof(f6367,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4107,f190]) ).
fof(f6366,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4107,f149]) ).
fof(f4107,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_dom(X0))))) ),
inference(resolution,[],[f3824,f149]) ).
fof(f6342,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_rng(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4081,f4602]) ).
fof(f6341,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_rng(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4081,f646]) ).
fof(f6340,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_rng(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4081,f147]) ).
fof(f6338,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4081,f188]) ).
fof(f6337,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_rng(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4081,f190]) ).
fof(f6336,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_rng(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4081,f149]) ).
fof(f4081,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_rng(X0))))) ),
inference(resolution,[],[f3805,f147]) ).
fof(f6312,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_dom(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f4077,f4602]) ).
fof(f6311,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_dom(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4077,f646]) ).
fof(f6310,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_dom(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4077,f147]) ).
fof(f6308,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4077,f188]) ).
fof(f6307,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_dom(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4077,f190]) ).
fof(f6306,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_dom(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4077,f149]) ).
fof(f4077,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_dom(X0))))) ),
inference(resolution,[],[f3805,f149]) ).
fof(f6282,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(sK11(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f3938,f4602]) ).
fof(f6281,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(sK11(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f3938,f646]) ).
fof(f6280,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(sK11(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3938,f147]) ).
fof(f6278,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3938,f188]) ).
fof(f6277,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3938,f190]) ).
fof(f6276,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(sK11(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3938,f149]) ).
fof(f3938,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(sK11(powerset(X0))))) ),
inference(resolution,[],[f3823,f646]) ).
fof(f6252,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(sK11(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f3914,f4602]) ).
fof(f6251,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(sK11(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f3914,f646]) ).
fof(f6250,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(sK11(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3914,f147]) ).
fof(f6248,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3914,f188]) ).
fof(f6247,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3914,f190]) ).
fof(f6246,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(sK11(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3914,f149]) ).
fof(f3914,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(sK11(powerset(X0))))) ),
inference(resolution,[],[f3819,f646]) ).
fof(f1485,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ relation(X0)
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| function_inverse(X1) = X0 ),
inference(resolution,[],[f169,f156]) ).
fof(f6220,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(sK11(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f3886,f4602]) ).
fof(f6219,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(sK11(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f3886,f646]) ).
fof(f6218,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(sK11(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3886,f147]) ).
fof(f6216,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3886,f188]) ).
fof(f6215,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3886,f190]) ).
fof(f6214,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(sK11(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3886,f149]) ).
fof(f3886,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(sK11(powerset(X0))))) ),
inference(resolution,[],[f3804,f646]) ).
fof(f6190,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(sK11(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f3862,f4602]) ).
fof(f6189,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(sK11(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f3862,f646]) ).
fof(f6188,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(sK11(powerset(relation_rng(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3862,f147]) ).
fof(f6186,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3862,f188]) ).
fof(f6185,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3862,f190]) ).
fof(f6184,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(sK11(powerset(relation_dom(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3862,f149]) ).
fof(f3862,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(sK11(powerset(X0))))) ),
inference(resolution,[],[f3800,f646]) ).
fof(f6175,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,sK11(sK6(powerset(X1)))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5016,f4602]) ).
fof(f6174,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,sK11(powerset(X1))))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5016,f646]) ).
fof(f6173,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,relation_rng(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5016,f147]) ).
fof(f6171,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f5016,f188]) ).
fof(f6170,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f5016,f190]) ).
fof(f6169,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,relation_dom(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5016,f149]) ).
fof(f5016,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(sK5,relation_composition(X0,X1))
| ~ empty(X0) ),
inference(resolution,[],[f3780,f145]) ).
fof(f6150,plain,
! [X0,X1] :
( relation_rng(relation_rng(sK11(sK6(powerset(X0))))) = relation_composition(sK5,X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4930,f4602]) ).
fof(f6149,plain,
! [X0,X1] :
( relation_rng(relation_rng(sK11(powerset(X0)))) = relation_composition(sK5,X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4930,f646]) ).
fof(f6148,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_rng(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f4930,f147]) ).
fof(f6146,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4930,f188]) ).
fof(f6145,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4930,f190]) ).
fof(f6144,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_dom(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f4930,f149]) ).
fof(f4930,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_composition(sK5,X0)
| ~ empty(X0) ),
inference(resolution,[],[f4895,f147]) ).
fof(f6125,plain,
! [X0,X1] :
( relation_rng(relation_dom(sK11(sK6(powerset(X0))))) = relation_composition(sK5,X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4926,f4602]) ).
fof(f6124,plain,
! [X0,X1] :
( relation_rng(relation_dom(sK11(powerset(X0)))) = relation_composition(sK5,X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4926,f646]) ).
fof(f6123,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_rng(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f4926,f147]) ).
fof(f6121,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4926,f188]) ).
fof(f6120,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4926,f190]) ).
fof(f6119,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_dom(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f4926,f149]) ).
fof(f4926,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_composition(sK5,X0)
| ~ empty(X0) ),
inference(resolution,[],[f4895,f149]) ).
fof(f6100,plain,
! [X0,X1] :
( relation_dom(relation_rng(sK11(sK6(powerset(X0))))) = relation_composition(sK5,X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4910,f4602]) ).
fof(f6099,plain,
! [X0,X1] :
( relation_dom(relation_rng(sK11(powerset(X0)))) = relation_composition(sK5,X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4910,f646]) ).
fof(f6098,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_rng(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f4910,f147]) ).
fof(f6096,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4910,f188]) ).
fof(f6095,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4910,f190]) ).
fof(f6094,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_dom(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f4910,f149]) ).
fof(f4910,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_composition(sK5,X0)
| ~ empty(X0) ),
inference(resolution,[],[f4891,f147]) ).
fof(f6075,plain,
! [X0,X1] :
( relation_dom(relation_dom(sK11(sK6(powerset(X0))))) = relation_composition(sK5,X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4906,f4602]) ).
fof(f6074,plain,
! [X0,X1] :
( relation_dom(relation_dom(sK11(powerset(X0)))) = relation_composition(sK5,X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4906,f646]) ).
fof(f6073,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_rng(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f4906,f147]) ).
fof(f6071,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4906,f188]) ).
fof(f6070,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = relation_composition(sK5,X2)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4906,f190]) ).
fof(f6069,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_dom(X0))) = relation_composition(sK5,X1)
| ~ empty(X0) ),
inference(resolution,[],[f4906,f149]) ).
fof(f4906,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_composition(sK5,X0)
| ~ empty(X0) ),
inference(resolution,[],[f4891,f149]) ).
fof(f6050,plain,
! [X0,X1] :
( relation_rng(relation_rng(sK11(sK6(powerset(X0))))) = relation_composition(X1,sK5)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4837,f4602]) ).
fof(f6049,plain,
! [X0,X1] :
( relation_rng(relation_rng(sK11(powerset(X0)))) = relation_composition(X1,sK5)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4837,f646]) ).
fof(f6048,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_rng(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4837,f147]) ).
fof(f6046,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4837,f188]) ).
fof(f6045,plain,
! [X2,X0,X1] :
( relation_rng(relation_rng(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4837,f190]) ).
fof(f6044,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(relation_dom(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4837,f149]) ).
fof(f4837,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_rng(X1)) = relation_composition(X0,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4625,f147]) ).
fof(f6025,plain,
! [X0,X1] :
( relation_rng(relation_dom(sK11(sK6(powerset(X0))))) = relation_composition(X1,sK5)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4833,f4602]) ).
fof(f6024,plain,
! [X0,X1] :
( relation_rng(relation_dom(sK11(powerset(X0)))) = relation_composition(X1,sK5)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4833,f646]) ).
fof(f6023,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_rng(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4833,f147]) ).
fof(f6021,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4833,f188]) ).
fof(f6020,plain,
! [X2,X0,X1] :
( relation_rng(relation_dom(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4833,f190]) ).
fof(f6019,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(relation_dom(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4833,f149]) ).
fof(f4833,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(relation_dom(X1)) = relation_composition(X0,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4625,f149]) ).
fof(f6000,plain,
! [X0,X1] :
( relation_dom(relation_rng(sK11(sK6(powerset(X0))))) = relation_composition(X1,sK5)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4817,f4602]) ).
fof(f5999,plain,
! [X0,X1] :
( relation_dom(relation_rng(sK11(powerset(X0)))) = relation_composition(X1,sK5)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4817,f646]) ).
fof(f5998,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_rng(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4817,f147]) ).
fof(f5996,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4817,f188]) ).
fof(f5995,plain,
! [X2,X0,X1] :
( relation_dom(relation_rng(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4817,f190]) ).
fof(f5994,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(relation_dom(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4817,f149]) ).
fof(f4817,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_rng(X1)) = relation_composition(X0,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4621,f147]) ).
fof(f5992,plain,
! [X0,X1] :
( sK11(sK6(sK6(relation_rng(X0)))) = apply(X0,apply(X1,sK11(sK6(sK6(relation_rng(X0))))))
| ~ sP1(X1,X0)
| empty(relation_rng(X0)) ),
inference(resolution,[],[f2249,f4970]) ).
fof(f5991,plain,
! [X0,X1] :
( sK11(sK6(relation_rng(X0))) = apply(X0,apply(X1,sK11(sK6(relation_rng(X0)))))
| ~ sP1(X1,X0)
| empty(relation_rng(X0)) ),
inference(resolution,[],[f2249,f4061]) ).
fof(f5990,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| sK11(relation_rng(X0)) = apply(X0,apply(X1,sK11(relation_rng(X0))))
| empty(relation_rng(X0)) ),
inference(resolution,[],[f2249,f363]) ).
fof(f2249,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(X1))
| apply(X1,apply(X2,X0)) = X0
| ~ sP1(X2,X1) ),
inference(resolution,[],[f221,f158]) ).
fof(f5971,plain,
! [X0,X1] :
( relation_dom(relation_dom(sK11(sK6(powerset(X0))))) = relation_composition(X1,sK5)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4813,f4602]) ).
fof(f5970,plain,
! [X0,X1] :
( relation_dom(relation_dom(sK11(powerset(X0)))) = relation_composition(X1,sK5)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4813,f646]) ).
fof(f5969,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_rng(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4813,f147]) ).
fof(f5967,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4813,f188]) ).
fof(f5966,plain,
! [X2,X0,X1] :
( relation_dom(relation_dom(relation_composition(X0,X1))) = relation_composition(X2,sK5)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4813,f190]) ).
fof(f5965,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(relation_dom(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4813,f149]) ).
fof(f4813,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_dom(relation_dom(X1)) = relation_composition(X0,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4621,f149]) ).
fof(f5946,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(sK11(powerset(sK11(sK6(powerset(X0))))))))
| ~ empty(X0) ),
inference(resolution,[],[f3843,f4602]) ).
fof(f5945,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(powerset(sK11(powerset(sK11(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f3843,f646]) ).
fof(f5944,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(sK11(powerset(relation_rng(X0)))))) ),
inference(resolution,[],[f3843,f147]) ).
fof(f5942,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3843,f188]) ).
fof(f5941,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(sK11(powerset(relation_composition(X0,X1))))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3843,f190]) ).
fof(f5940,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(sK11(powerset(relation_dom(X0)))))) ),
inference(resolution,[],[f3843,f149]) ).
fof(f3843,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(sK11(powerset(X0))))) ),
inference(resolution,[],[f3784,f646]) ).
fof(f5926,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(sK5,X0) = sK11(powerset(sK11(sK6(powerset(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f4896,f4602]) ).
fof(f5925,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(sK5,X0) = sK11(powerset(sK11(powerset(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f4896,f646]) ).
fof(f5924,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK5,X0) = sK11(powerset(relation_rng(X1)))
| ~ empty(X0) ),
inference(resolution,[],[f4896,f147]) ).
fof(f5922,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_composition(sK5,X0) = sK11(powerset(relation_composition(X1,X2)))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4896,f188]) ).
fof(f5921,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_composition(sK5,X0) = sK11(powerset(relation_composition(X1,X2)))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4896,f190]) ).
fof(f5920,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK5,X0) = sK11(powerset(relation_dom(X1)))
| ~ empty(X0) ),
inference(resolution,[],[f4896,f149]) ).
fof(f4896,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK11(powerset(X1)) = relation_composition(sK5,X0) ),
inference(resolution,[],[f4882,f646]) ).
fof(f5906,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(X0,sK5) = sK11(powerset(sK11(sK6(powerset(X1)))))
| ~ empty(X1) ),
inference(resolution,[],[f4626,f4602]) ).
fof(f5905,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(X0,sK5) = sK11(powerset(sK11(powerset(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f4626,f646]) ).
fof(f5904,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK5) = sK11(powerset(relation_rng(X1)))
| ~ empty(X0) ),
inference(resolution,[],[f4626,f147]) ).
fof(f5902,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_composition(X0,sK5) = sK11(powerset(relation_composition(X1,X2)))
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4626,f188]) ).
fof(f5901,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_composition(X0,sK5) = sK11(powerset(relation_composition(X1,X2)))
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4626,f190]) ).
fof(f5900,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK5) = sK11(powerset(relation_dom(X1)))
| ~ empty(X0) ),
inference(resolution,[],[f4626,f149]) ).
fof(f4626,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK11(powerset(X1)) = relation_composition(X0,sK5) ),
inference(resolution,[],[f4612,f646]) ).
fof(f5881,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5583,f4602]) ).
fof(f5880,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(powerset(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5583,f646]) ).
fof(f5877,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK19))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5583,f188]) ).
fof(f5876,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK19))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5583,f190]) ).
fof(f5583,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),sK19)) ),
inference(resolution,[],[f5474,f147]) ).
fof(f5856,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5579,f4602]) ).
fof(f5855,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(powerset(X0))),sK19))
| ~ empty(X0) ),
inference(resolution,[],[f5579,f646]) ).
fof(f5852,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK19))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5579,f188]) ).
fof(f5851,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK19))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5579,f190]) ).
fof(f5579,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),sK19)) ),
inference(resolution,[],[f5474,f149]) ).
fof(f5831,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5563,f4602]) ).
fof(f5830,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(powerset(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5563,f646]) ).
fof(f5827,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK18))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5563,f188]) ).
fof(f5826,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK18))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5563,f190]) ).
fof(f5563,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),sK18)) ),
inference(resolution,[],[f5473,f147]) ).
fof(f5806,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5559,f4602]) ).
fof(f5805,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(powerset(X0))),sK18))
| ~ empty(X0) ),
inference(resolution,[],[f5559,f646]) ).
fof(f5802,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK18))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5559,f188]) ).
fof(f5801,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK18))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5559,f190]) ).
fof(f5559,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),sK18)) ),
inference(resolution,[],[f5473,f149]) ).
fof(f5781,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5543,f4602]) ).
fof(f5780,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(powerset(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5543,f646]) ).
fof(f5777,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5543,f188]) ).
fof(f5776,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5543,f190]) ).
fof(f5543,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),sK17)) ),
inference(resolution,[],[f5472,f147]) ).
fof(f5756,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5539,f4602]) ).
fof(f5755,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(powerset(X0))),sK17))
| ~ empty(X0) ),
inference(resolution,[],[f5539,f646]) ).
fof(f5752,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5539,f188]) ).
fof(f5751,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5539,f190]) ).
fof(f5539,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),sK17)) ),
inference(resolution,[],[f5472,f149]) ).
fof(f5731,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5523,f4602]) ).
fof(f5730,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(powerset(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5523,f646]) ).
fof(f5727,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5523,f188]) ).
fof(f5726,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5523,f190]) ).
fof(f5523,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),sK15)) ),
inference(resolution,[],[f5470,f147]) ).
fof(f1684,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK10(X1) = apply(X0,apply(X1,sK10(X1)))
| sP3(X1) ),
inference(resolution,[],[f218,f174]) ).
fof(f5705,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5519,f4602]) ).
fof(f5704,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(powerset(X0))),sK15))
| ~ empty(X0) ),
inference(resolution,[],[f5519,f646]) ).
fof(f5701,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5519,f188]) ).
fof(f5700,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5519,f190]) ).
fof(f5519,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),sK15)) ),
inference(resolution,[],[f5470,f149]) ).
fof(f5680,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5502,f4602]) ).
fof(f5679,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(powerset(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5502,f646]) ).
fof(f5676,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5502,f188]) ).
fof(f5675,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5502,f190]) ).
fof(f5502,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),sK5)) ),
inference(resolution,[],[f5469,f147]) ).
fof(f5655,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5498,f4602]) ).
fof(f5654,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(powerset(X0))),sK5))
| ~ empty(X0) ),
inference(resolution,[],[f5498,f646]) ).
fof(f5651,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5498,f188]) ).
fof(f5650,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5498,f190]) ).
fof(f5498,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),sK5)) ),
inference(resolution,[],[f5469,f149]) ).
fof(f5630,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(sK6(powerset(X0)))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5482,f4602]) ).
fof(f5629,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(sK11(powerset(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5482,f646]) ).
fof(f5626,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5482,f188]) ).
fof(f5625,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_rng(relation_composition(X0,X1)),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5482,f190]) ).
fof(f5482,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),empty_set)) ),
inference(resolution,[],[f5467,f147]) ).
fof(f5605,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(sK6(powerset(X0)))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5478,f4602]) ).
fof(f5604,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(sK11(powerset(X0))),empty_set))
| ~ empty(X0) ),
inference(resolution,[],[f5478,f646]) ).
fof(f5601,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5478,f188]) ).
fof(f5600,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_dom(relation_composition(X0,X1)),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5478,f190]) ).
fof(f5478,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),empty_set)) ),
inference(resolution,[],[f5467,f149]) ).
fof(f5585,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(sK6(powerset(X0))),sK19)) ),
inference(resolution,[],[f5474,f4602]) ).
fof(f5581,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK19))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5474,f188]) ).
fof(f5580,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK19))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5474,f190]) ).
fof(f5474,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,sK19)) ),
inference(resolution,[],[f3781,f211]) ).
fof(f5565,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(sK6(powerset(X0))),sK18)) ),
inference(resolution,[],[f5473,f4602]) ).
fof(f5561,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK18))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5473,f188]) ).
fof(f5560,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK18))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5473,f190]) ).
fof(f5473,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,sK18)) ),
inference(resolution,[],[f3781,f209]) ).
fof(f5545,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(sK6(powerset(X0))),sK17)) ),
inference(resolution,[],[f5472,f4602]) ).
fof(f5541,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5472,f188]) ).
fof(f5540,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK17))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5472,f190]) ).
fof(f5472,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,sK17)) ),
inference(resolution,[],[f3781,f208]) ).
fof(f5525,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(sK6(powerset(X0))),sK15)) ),
inference(resolution,[],[f5470,f4602]) ).
fof(f5521,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5470,f188]) ).
fof(f5520,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK15))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5470,f190]) ).
fof(f5470,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,sK15)) ),
inference(resolution,[],[f3781,f205]) ).
fof(f1683,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK9(X1) = apply(X0,apply(X1,sK9(X1)))
| sP3(X1) ),
inference(resolution,[],[f218,f173]) ).
fof(f5504,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(sK6(powerset(X0))),sK5)) ),
inference(resolution,[],[f5469,f4602]) ).
fof(f5500,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK5))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5469,f188]) ).
fof(f5499,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),sK5))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5469,f190]) ).
fof(f5469,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,sK5)) ),
inference(resolution,[],[f3781,f132]) ).
fof(f5484,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK11(sK6(powerset(X0))),empty_set)) ),
inference(resolution,[],[f5467,f4602]) ).
fof(f5480,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5467,f188]) ).
fof(f5479,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),empty_set))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5467,f190]) ).
fof(f5467,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,empty_set)) ),
inference(resolution,[],[f3781,f138]) ).
fof(f5477,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f5475,f228]) ).
fof(f5475,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(X0,sK20))
| ~ empty(X0) ),
inference(resolution,[],[f3781,f214]) ).
fof(f5476,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(X0,empty_set))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f5471,f227]) ).
fof(f5471,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(X0,sK16))
| ~ empty(X0) ),
inference(resolution,[],[f3781,f207]) ).
fof(f5468,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,relation_rng(X1))) ),
inference(resolution,[],[f3781,f148]) ).
fof(f5466,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f3781,f189]) ).
fof(f5465,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f3781,f191]) ).
fof(f5464,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,relation_composition(X1,X2)))
| ~ empty(X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f3781,f196]) ).
fof(f5463,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,function_inverse(X1)))
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f3781,f153]) ).
fof(f5462,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,relation_dom(X1))) ),
inference(resolution,[],[f3781,f150]) ).
fof(f5461,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(X0,X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3781,f145]) ).
fof(f3781,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(sK5,relation_composition(X0,X1))
| ~ empty(X0) ),
inference(resolution,[],[f3770,f188]) ).
fof(f5442,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5138,f4602]) ).
fof(f5441,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5138,f646]) ).
fof(f5438,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5138,f188]) ).
fof(f5437,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5138,f190]) ).
fof(f5138,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK19,relation_rng(X0))) ),
inference(resolution,[],[f5029,f147]) ).
fof(f5417,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5134,f4602]) ).
fof(f5416,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5134,f646]) ).
fof(f5413,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5134,f188]) ).
fof(f5412,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5134,f190]) ).
fof(f5134,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK19,relation_dom(X0))) ),
inference(resolution,[],[f5029,f149]) ).
fof(f5392,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5118,f4602]) ).
fof(f5391,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5118,f646]) ).
fof(f5388,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5118,f188]) ).
fof(f5387,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5118,f190]) ).
fof(f5118,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK18,relation_rng(X0))) ),
inference(resolution,[],[f5028,f147]) ).
fof(f5367,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5114,f4602]) ).
fof(f5366,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5114,f646]) ).
fof(f5363,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5114,f188]) ).
fof(f5362,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5114,f190]) ).
fof(f5114,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK18,relation_dom(X0))) ),
inference(resolution,[],[f5028,f149]) ).
fof(f5342,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5098,f4602]) ).
fof(f5341,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5098,f646]) ).
fof(f5338,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5098,f188]) ).
fof(f5337,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5098,f190]) ).
fof(f5098,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_rng(X0))) ),
inference(resolution,[],[f5027,f147]) ).
fof(f5317,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5094,f4602]) ).
fof(f5316,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5094,f646]) ).
fof(f5313,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5094,f188]) ).
fof(f5312,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5094,f190]) ).
fof(f5094,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,relation_dom(X0))) ),
inference(resolution,[],[f5027,f149]) ).
fof(f5292,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5078,f4602]) ).
fof(f5291,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5078,f646]) ).
fof(f5288,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5078,f188]) ).
fof(f5287,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5078,f190]) ).
fof(f5078,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_rng(X0))) ),
inference(resolution,[],[f5025,f147]) ).
fof(f5267,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5074,f4602]) ).
fof(f5266,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5074,f646]) ).
fof(f5263,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5074,f188]) ).
fof(f5262,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5074,f190]) ).
fof(f5074,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,relation_dom(X0))) ),
inference(resolution,[],[f5025,f149]) ).
fof(f5255,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,[],[f1729,f219]) ).
fof(f5254,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,[],[f1729,f218]) ).
fof(f1729,plain,
! [X2,X0,X1] :
( in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_rng(X1))
| ~ sP1(X2,X1) ),
inference(resolution,[],[f222,f158]) ).
fof(f5235,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5058,f4602]) ).
fof(f5234,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5058,f646]) ).
fof(f5231,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5058,f188]) ).
fof(f5230,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5058,f190]) ).
fof(f5058,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_rng(X0))) ),
inference(resolution,[],[f5024,f147]) ).
fof(f5210,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5054,f4602]) ).
fof(f5209,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5054,f646]) ).
fof(f5206,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5054,f188]) ).
fof(f5205,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5054,f190]) ).
fof(f5054,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,relation_dom(X0))) ),
inference(resolution,[],[f5024,f149]) ).
fof(f5185,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5037,f4602]) ).
fof(f5184,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5037,f646]) ).
fof(f5181,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5037,f188]) ).
fof(f5180,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5037,f190]) ).
fof(f5037,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_rng(X0))) ),
inference(resolution,[],[f5022,f147]) ).
fof(f5160,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f5033,f4602]) ).
fof(f5159,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f5033,f646]) ).
fof(f5156,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5033,f188]) ).
fof(f5155,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5033,f190]) ).
fof(f5033,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,relation_dom(X0))) ),
inference(resolution,[],[f5022,f149]) ).
fof(f5140,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK19,sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f5029,f4602]) ).
fof(f5136,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5029,f188]) ).
fof(f5135,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK19,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5029,f190]) ).
fof(f5029,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK19,X0)) ),
inference(resolution,[],[f3780,f211]) ).
fof(f5120,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK18,sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f5028,f4602]) ).
fof(f5116,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5028,f188]) ).
fof(f5115,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK18,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5028,f190]) ).
fof(f5028,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK18,X0)) ),
inference(resolution,[],[f3780,f209]) ).
fof(f5100,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f5027,f4602]) ).
fof(f5096,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5027,f188]) ).
fof(f5095,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK17,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5027,f190]) ).
fof(f5027,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK17,X0)) ),
inference(resolution,[],[f3780,f208]) ).
fof(f5080,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f5025,f4602]) ).
fof(f5076,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5025,f188]) ).
fof(f5075,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK15,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5025,f190]) ).
fof(f5025,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK15,X0)) ),
inference(resolution,[],[f3780,f205]) ).
fof(f5060,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f5024,f4602]) ).
fof(f5056,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5024,f188]) ).
fof(f5055,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(sK5,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5024,f190]) ).
fof(f5024,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(sK5,X0)) ),
inference(resolution,[],[f3780,f132]) ).
fof(f1640,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| in(apply(X0,sK10(X0)),relation_rng(X0))
| sP3(X0) ),
inference(resolution,[],[f219,f174]) ).
fof(f5039,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f5022,f4602]) ).
fof(f5035,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f5022,f188]) ).
fof(f5034,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f5022,f190]) ).
fof(f5022,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_composition(empty_set,X0)) ),
inference(resolution,[],[f3780,f138]) ).
fof(f5032,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f5030,f228]) ).
fof(f5030,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK20,X0))
| ~ empty(X0) ),
inference(resolution,[],[f3780,f214]) ).
fof(f5031,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(empty_set,X0))
| ~ empty(X0) ),
inference(forward_demodulation,[],[f5026,f227]) ).
fof(f5026,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_composition(sK16,X0))
| ~ empty(X0) ),
inference(resolution,[],[f3780,f207]) ).
fof(f5023,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(sK5,relation_composition(relation_rng(X0),X1))
| ~ empty(X0) ),
inference(resolution,[],[f3780,f148]) ).
fof(f5021,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),X2))
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3780,f189]) ).
fof(f5020,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),X2))
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3780,f191]) ).
fof(f5019,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(relation_composition(X0,X1),X2))
| ~ empty(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f3780,f196]) ).
fof(f5018,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_composition(function_inverse(X0),X1))
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f3780,f153]) ).
fof(f5017,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(sK5,relation_composition(relation_dom(X0),X1))
| ~ empty(X0) ),
inference(resolution,[],[f3780,f150]) ).
fof(f3780,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(sK5,relation_composition(X0,X1))
| ~ empty(X1) ),
inference(resolution,[],[f3770,f190]) ).
fof(f5000,plain,
! [X0] :
( ~ in(X0,sK11(sK6(sK6(X0))))
| empty(X0) ),
inference(resolution,[],[f4970,f185]) ).
fof(f5010,plain,
! [X0] :
( empty(sK11(powerset(X0)))
| element(sK11(sK6(sK6(sK11(powerset(X0))))),X0) ),
inference(resolution,[],[f4970,f839]) ).
fof(f5015,plain,
! [X0] :
( element(sK11(sK6(sK6(sK6(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f5009,f143]) ).
fof(f5009,plain,
! [X0] :
( empty(sK6(X0))
| element(sK11(sK6(sK6(sK6(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f4970,f838]) ).
fof(f5008,plain,
! [X0] :
( empty(relation_rng(X0))
| sK11(sK6(sK6(relation_rng(X0)))) = apply(X0,apply(function_inverse(X0),sK11(sK6(sK6(relation_rng(X0))))))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f4970,f194]) ).
fof(f5007,plain,
! [X0] :
( empty(relation_rng(X0))
| sK11(sK6(sK6(relation_rng(X0)))) = apply(relation_composition(function_inverse(X0),X0),sK11(sK6(sK6(relation_rng(X0)))))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f4970,f195]) ).
fof(f5014,plain,
! [X0,X1] :
( ~ in(X1,sK11(sK6(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f5006,f141]) ).
fof(f5006,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK11(sK6(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f4970,f620]) ).
fof(f5013,plain,
! [X0,X1] :
( ~ in(X1,sK11(sK6(sK6(powerset(X0)))))
| element(X1,X0) ),
inference(subsumption_resolution,[],[f5005,f141]) ).
fof(f5005,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK11(sK6(sK6(powerset(X0)))))
| element(X1,X0) ),
inference(resolution,[],[f4970,f836]) ).
fof(f5003,plain,
! [X0,X1] :
( empty(relation_dom(X0))
| in(apply(X0,sK11(sK6(sK6(relation_dom(X0))))),relation_rng(X0))
| ~ sP1(X1,X0) ),
inference(resolution,[],[f4970,f219]) ).
fof(f5002,plain,
! [X0,X1] :
( empty(relation_dom(X0))
| sK11(sK6(sK6(relation_dom(X0)))) = apply(X1,apply(X0,sK11(sK6(sK6(relation_dom(X0))))))
| ~ sP1(X1,X0) ),
inference(resolution,[],[f4970,f218]) ).
fof(f4970,plain,
! [X0] :
( in(sK11(sK6(sK6(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f4967]) ).
fof(f4967,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK11(sK6(sK6(X0))),X0) ),
inference(resolution,[],[f4076,f187]) ).
fof(f4999,plain,
( empty(sK6(powerset(empty_set)))
| in(empty_set,sK6(powerset(empty_set))) ),
inference(resolution,[],[f4998,f187]) ).
fof(f4998,plain,
element(empty_set,sK6(powerset(empty_set))),
inference(superposition,[],[f181,f4977]) ).
fof(f4997,plain,
( in(empty_set,sK6(powerset(empty_set)))
| empty(sK6(powerset(empty_set))) ),
inference(superposition,[],[f363,f4977]) ).
fof(f4977,plain,
empty_set = sK11(sK6(powerset(empty_set))),
inference(resolution,[],[f4635,f136]) ).
fof(f4988,plain,
empty_set = sK11(sK6(powerset(empty_set))),
inference(forward_demodulation,[],[f4984,f228]) ).
fof(f4984,plain,
empty_set = sK11(sK6(powerset(sK20))),
inference(resolution,[],[f4635,f215]) ).
fof(f4987,plain,
empty_set = sK11(sK6(powerset(empty_set))),
inference(forward_demodulation,[],[f4983,f227]) ).
fof(f4983,plain,
empty_set = sK11(sK6(powerset(sK16))),
inference(resolution,[],[f4635,f206]) ).
fof(f4986,plain,
empty_set = sK11(sK6(powerset(empty_set))),
inference(forward_demodulation,[],[f4982,f226]) ).
fof(f4982,plain,
empty_set = sK11(sK6(powerset(sK14))),
inference(resolution,[],[f4635,f203]) ).
fof(f4985,plain,
empty_set = sK11(sK6(powerset(empty_set))),
inference(forward_demodulation,[],[f4981,f225]) ).
fof(f4981,plain,
! [X0] : empty_set = sK11(sK6(powerset(sK12(X0)))),
inference(resolution,[],[f4635,f183]) ).
fof(f4980,plain,
! [X0] :
( empty_set = sK11(sK6(powerset(sK11(sK6(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4635,f4602]) ).
fof(f4979,plain,
! [X0] :
( empty_set = sK11(sK6(powerset(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f4635,f646]) ).
fof(f4978,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(sK6(powerset(relation_rng(X0)))) ),
inference(resolution,[],[f4635,f147]) ).
fof(f4976,plain,
! [X0,X1] :
( empty_set = sK11(sK6(powerset(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4635,f188]) ).
fof(f4975,plain,
! [X0,X1] :
( empty_set = sK11(sK6(powerset(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4635,f190]) ).
fof(f4974,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(sK6(powerset(relation_dom(X0)))) ),
inference(resolution,[],[f4635,f149]) ).
fof(f4635,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(sK6(powerset(X0))) ),
inference(resolution,[],[f4602,f146]) ).
fof(f1639,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| in(apply(X0,sK9(X0)),relation_rng(X0))
| sP3(X0) ),
inference(resolution,[],[f219,f173]) ).
fof(f4972,plain,
! [X0,X1] :
( ~ in(X1,sK11(sK6(sK6(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f4969,f141]) ).
fof(f4969,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK11(sK6(sK6(powerset(X0))))) ),
inference(resolution,[],[f4076,f201]) ).
fof(f4971,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,sK11(sK6(sK6(powerset(X0))))) ),
inference(subsumption_resolution,[],[f4968,f141]) ).
fof(f4968,plain,
! [X0,X1] :
( empty(powerset(X0))
| element(X1,X0)
| ~ in(X1,sK11(sK6(sK6(powerset(X0))))) ),
inference(resolution,[],[f4076,f200]) ).
fof(f4076,plain,
! [X0] :
( element(sK11(sK6(sK6(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f4072,f143]) ).
fof(f4072,plain,
! [X0] :
( empty(sK6(X0))
| element(sK11(sK6(sK6(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f4061,f838]) ).
fof(f4949,plain,
empty_set = relation_composition(sK5,sK11(sK6(powerset(empty_set)))),
inference(resolution,[],[f4778,f136]) ).
fof(f4960,plain,
empty_set = relation_composition(sK5,sK11(sK6(powerset(empty_set)))),
inference(forward_demodulation,[],[f4956,f228]) ).
fof(f4956,plain,
empty_set = relation_composition(sK5,sK11(sK6(powerset(sK20)))),
inference(resolution,[],[f4778,f215]) ).
fof(f4959,plain,
empty_set = relation_composition(sK5,sK11(sK6(powerset(empty_set)))),
inference(forward_demodulation,[],[f4955,f227]) ).
fof(f4955,plain,
empty_set = relation_composition(sK5,sK11(sK6(powerset(sK16)))),
inference(resolution,[],[f4778,f206]) ).
fof(f4958,plain,
empty_set = relation_composition(sK5,sK11(sK6(powerset(empty_set)))),
inference(forward_demodulation,[],[f4954,f226]) ).
fof(f4954,plain,
empty_set = relation_composition(sK5,sK11(sK6(powerset(sK14)))),
inference(resolution,[],[f4778,f203]) ).
fof(f4957,plain,
empty_set = relation_composition(sK5,sK11(sK6(powerset(empty_set)))),
inference(forward_demodulation,[],[f4953,f225]) ).
fof(f4953,plain,
! [X0] : empty_set = relation_composition(sK5,sK11(sK6(powerset(sK12(X0))))),
inference(resolution,[],[f4778,f183]) ).
fof(f4952,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(sK11(sK6(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f4778,f4602]) ).
fof(f4951,plain,
! [X0] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f4778,f646]) ).
fof(f4948,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4778,f188]) ).
fof(f4947,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(sK6(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4778,f190]) ).
fof(f4778,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4602,f3770]) ).
fof(f4932,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(sK5,X0) = relation_rng(sK11(sK6(powerset(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f4895,f4602]) ).
fof(f4931,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK5,X0) = relation_rng(sK11(powerset(X1)))
| ~ empty(X0) ),
inference(resolution,[],[f4895,f646]) ).
fof(f4928,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_composition(sK5,X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4895,f188]) ).
fof(f4927,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_composition(sK5,X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4895,f190]) ).
fof(f4895,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(sK5,X0) ),
inference(resolution,[],[f4882,f147]) ).
fof(f4912,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(sK5,X0) = relation_dom(sK11(sK6(powerset(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f4891,f4602]) ).
fof(f4911,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK5,X0) = relation_dom(sK11(powerset(X1)))
| ~ empty(X0) ),
inference(resolution,[],[f4891,f646]) ).
fof(f4908,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(sK5,X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4891,f188]) ).
fof(f4907,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(sK5,X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4891,f190]) ).
fof(f4891,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(sK5,X0) ),
inference(resolution,[],[f4882,f149]) ).
fof(f4897,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_composition(sK5,X0) = sK11(sK6(powerset(X1))) ),
inference(resolution,[],[f4882,f4602]) ).
fof(f4893,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ empty(X0)
| relation_composition(X1,X2) = relation_composition(sK5,X0)
| ~ empty(X1) ),
inference(resolution,[],[f4882,f188]) ).
fof(f4892,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| ~ empty(X0)
| relation_composition(X1,X2) = relation_composition(sK5,X0)
| ~ empty(X2) ),
inference(resolution,[],[f4882,f190]) ).
fof(f4882,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(sK5,X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f385,f132]) ).
fof(f4890,plain,
! [X0,X1] :
( relation_composition(empty_set,X0) = X1
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f4888,f228]) ).
fof(f4888,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(sK20,X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f385,f214]) ).
fof(f4889,plain,
! [X0,X1] :
( relation_composition(empty_set,X0) = X1
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f4884,f227]) ).
fof(f4884,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(sK16,X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f385,f207]) ).
fof(f4879,plain,
! [X2,X3,X0,X1] :
( ~ relation(X2)
| relation_composition(relation_composition(X1,X2),X0) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f385,f189]) ).
fof(f4878,plain,
! [X2,X3,X0,X1] :
( ~ relation(X1)
| relation_composition(relation_composition(X1,X2),X0) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f385,f191]) ).
fof(f4877,plain,
! [X2,X3,X0,X1] :
( ~ relation(X2)
| relation_composition(relation_composition(X1,X2),X0) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f385,f196]) ).
fof(f4874,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_composition(X1,X0) = X2
| ~ empty(X2)
| ~ empty(X1) ),
inference(resolution,[],[f385,f145]) ).
fof(f385,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| relation_composition(X0,X1) = X2
| ~ empty(X2) ),
inference(resolution,[],[f190,f198]) ).
fof(f4856,plain,
empty_set = relation_composition(sK11(sK6(powerset(empty_set))),sK5),
inference(resolution,[],[f4659,f136]) ).
fof(f4867,plain,
empty_set = relation_composition(sK11(sK6(powerset(empty_set))),sK5),
inference(forward_demodulation,[],[f4863,f228]) ).
fof(f4863,plain,
empty_set = relation_composition(sK11(sK6(powerset(sK20))),sK5),
inference(resolution,[],[f4659,f215]) ).
fof(f4866,plain,
empty_set = relation_composition(sK11(sK6(powerset(empty_set))),sK5),
inference(forward_demodulation,[],[f4862,f227]) ).
fof(f4862,plain,
empty_set = relation_composition(sK11(sK6(powerset(sK16))),sK5),
inference(resolution,[],[f4659,f206]) ).
fof(f4865,plain,
empty_set = relation_composition(sK11(sK6(powerset(empty_set))),sK5),
inference(forward_demodulation,[],[f4861,f226]) ).
fof(f4861,plain,
empty_set = relation_composition(sK11(sK6(powerset(sK14))),sK5),
inference(resolution,[],[f4659,f203]) ).
fof(f4864,plain,
empty_set = relation_composition(sK11(sK6(powerset(empty_set))),sK5),
inference(forward_demodulation,[],[f4860,f225]) ).
fof(f4860,plain,
! [X0] : empty_set = relation_composition(sK11(sK6(powerset(sK12(X0)))),sK5),
inference(resolution,[],[f4659,f183]) ).
fof(f4859,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(sK11(sK6(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4659,f4602]) ).
fof(f4858,plain,
! [X0] :
( empty_set = relation_composition(sK11(sK6(powerset(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4659,f646]) ).
fof(f4855,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4659,f188]) ).
fof(f4854,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(sK6(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4659,f190]) ).
fof(f4659,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(sK6(powerset(X0))),sK5) ),
inference(resolution,[],[f4602,f769]) ).
fof(f4839,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(X0,sK5) = relation_rng(sK11(sK6(powerset(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f4625,f4602]) ).
fof(f4838,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK5) = relation_rng(sK11(powerset(X1)))
| ~ empty(X0) ),
inference(resolution,[],[f4625,f646]) ).
fof(f4835,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_composition(X0,sK5)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4625,f188]) ).
fof(f4834,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_composition(X1,X2)) = relation_composition(X0,sK5)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4625,f190]) ).
fof(f4625,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = relation_composition(X0,sK5) ),
inference(resolution,[],[f4612,f147]) ).
fof(f4819,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(X0,sK5) = relation_dom(sK11(sK6(powerset(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f4621,f4602]) ).
fof(f4818,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK5) = relation_dom(sK11(powerset(X1)))
| ~ empty(X0) ),
inference(resolution,[],[f4621,f646]) ).
fof(f4815,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(X0,sK5)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f4621,f188]) ).
fof(f4814,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_dom(relation_composition(X1,X2)) = relation_composition(X0,sK5)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f4621,f190]) ).
fof(f4621,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = relation_composition(X0,sK5) ),
inference(resolution,[],[f4612,f149]) ).
fof(f4812,plain,
! [X0,X1] :
( ~ empty(X1)
| sK11(sK6(powerset(X0))) = relation_composition(X1,sK5)
| ~ empty(X0) ),
inference(resolution,[],[f4602,f4612]) ).
fof(f4811,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK19,relation_rng(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f4039]) ).
fof(f4810,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK19,relation_dom(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f4035]) ).
fof(f4809,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,relation_rng(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f4018]) ).
fof(f4808,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,relation_dom(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f4014]) ).
fof(f4807,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_rng(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f3996]) ).
fof(f4806,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_dom(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f3992]) ).
fof(f4805,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_rng(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f3975]) ).
fof(f4804,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_dom(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f3971]) ).
fof(f4803,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_rng(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f3961]) ).
fof(f4802,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_dom(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f3957]) ).
fof(f4801,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3937]) ).
fof(f4800,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3933]) ).
fof(f4799,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3913]) ).
fof(f4798,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3909]) ).
fof(f4797,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3885]) ).
fof(f4796,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3881]) ).
fof(f4795,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3861]) ).
fof(f4794,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3857]) ).
fof(f4793,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(relation_rng(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3842]) ).
fof(f4792,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(relation_dom(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3838]) ).
fof(f4791,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(sK11(powerset(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3824]) ).
fof(f4790,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f3823]) ).
fof(f4789,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f3819]) ).
fof(f4788,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(sK11(powerset(sK11(sK6(powerset(X0))))))) ),
inference(resolution,[],[f4602,f3805]) ).
fof(f4787,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f3804]) ).
fof(f4786,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f3800]) ).
fof(f4785,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f3784]) ).
fof(f4782,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK19,sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4602,f3775]) ).
fof(f4781,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4602,f3774]) ).
fof(f4780,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4602,f3773]) ).
fof(f4779,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4602,f3771]) ).
fof(f4777,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4602,f3768]) ).
fof(f4776,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK19),sK5) ),
inference(resolution,[],[f4602,f2089]) ).
fof(f4775,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK19),sK5) ),
inference(resolution,[],[f4602,f2088]) ).
fof(f4774,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK19),sK5) ),
inference(resolution,[],[f4602,f2084]) ).
fof(f4773,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK18),sK5) ),
inference(resolution,[],[f4602,f2070]) ).
fof(f4772,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK18),sK5) ),
inference(resolution,[],[f4602,f2069]) ).
fof(f4771,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK18),sK5) ),
inference(resolution,[],[f4602,f2065]) ).
fof(f4770,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK17),sK5) ),
inference(resolution,[],[f4602,f2051]) ).
fof(f4769,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK17),sK5) ),
inference(resolution,[],[f4602,f2050]) ).
fof(f4768,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK17),sK5) ),
inference(resolution,[],[f4602,f2046]) ).
fof(f4767,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK15),sK5) ),
inference(resolution,[],[f4602,f2030]) ).
fof(f4766,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK15),sK5) ),
inference(resolution,[],[f4602,f2029]) ).
fof(f4765,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK15),sK5) ),
inference(resolution,[],[f4602,f2025]) ).
fof(f4764,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK5),sK5) ),
inference(resolution,[],[f4602,f2011]) ).
fof(f4763,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK5),sK5) ),
inference(resolution,[],[f4602,f2010]) ).
fof(f4762,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK5),sK5) ),
inference(resolution,[],[f4602,f2006]) ).
fof(f4761,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),empty_set),sK5) ),
inference(resolution,[],[f4602,f1992]) ).
fof(f4760,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(sK11(sK6(powerset(X0)))),empty_set),sK5) ),
inference(resolution,[],[f4602,f1991]) ).
fof(f4759,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(sK11(sK6(powerset(X0)))),empty_set),sK5) ),
inference(resolution,[],[f4602,f1987]) ).
fof(f4758,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(sK6(powerset(X0))),sK19),sK5) ),
inference(resolution,[],[f4602,f1983]) ).
fof(f4757,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(sK6(powerset(X0))),sK18),sK5) ),
inference(resolution,[],[f4602,f1982]) ).
fof(f4756,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(sK6(powerset(X0))),sK17),sK5) ),
inference(resolution,[],[f4602,f1981]) ).
fof(f4755,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(sK6(powerset(X0))),sK15),sK5) ),
inference(resolution,[],[f4602,f1979]) ).
fof(f4754,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(sK6(powerset(X0))),sK5),sK5) ),
inference(resolution,[],[f4602,f1978]) ).
fof(f4753,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(sK6(powerset(X0))),empty_set),sK5) ),
inference(resolution,[],[f4602,f1976]) ).
fof(f4752,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1782]) ).
fof(f4751,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1778]) ).
fof(f4750,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1758]) ).
fof(f4749,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1754]) ).
fof(f4748,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1734]) ).
fof(f4747,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1730]) ).
fof(f4746,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,sK11(powerset(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1712]) ).
fof(f4745,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,relation_rng(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1711]) ).
fof(f4744,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,relation_dom(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1707]) ).
fof(f4743,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,sK11(powerset(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1692]) ).
fof(f4742,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,relation_rng(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1691]) ).
fof(f4741,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,relation_dom(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1687]) ).
fof(f4740,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,sK11(powerset(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1668]) ).
fof(f4739,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_rng(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1667]) ).
fof(f4738,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_dom(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1663]) ).
fof(f4737,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,sK11(powerset(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1648]) ).
fof(f4736,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_rng(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1647]) ).
fof(f4735,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_dom(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1643]) ).
fof(f4734,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK11(powerset(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1624]) ).
fof(f4733,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_rng(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1623]) ).
fof(f4732,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1619]) ).
fof(f4731,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,sK11(powerset(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f1605]) ).
fof(f4730,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_rng(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1604]) ).
fof(f4729,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_dom(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f1600]) ).
fof(f4728,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,sK11(sK6(powerset(X0)))),sK5) ),
inference(resolution,[],[f4602,f1596]) ).
fof(f4727,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,sK11(sK6(powerset(X0)))),sK5) ),
inference(resolution,[],[f4602,f1595]) ).
fof(f4726,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,sK11(sK6(powerset(X0)))),sK5) ),
inference(resolution,[],[f4602,f1594]) ).
fof(f4725,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,sK11(sK6(powerset(X0)))),sK5) ),
inference(resolution,[],[f4602,f1592]) ).
fof(f4724,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK11(sK6(powerset(X0)))),sK5) ),
inference(resolution,[],[f4602,f1591]) ).
fof(f4723,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,sK11(sK6(powerset(X0)))),sK5) ),
inference(resolution,[],[f4602,f1589]) ).
fof(f4722,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X1,sK11(sK6(powerset(X0)))),sK5)
| ~ empty(X1) ),
inference(resolution,[],[f4602,f1583]) ).
fof(f4721,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1362]) ).
fof(f4720,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1358]) ).
fof(f4719,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1333]) ).
fof(f4718,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1329]) ).
fof(f4717,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1304]) ).
fof(f4716,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1300]) ).
fof(f4715,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1275]) ).
fof(f4714,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1271]) ).
fof(f4713,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1246]) ).
fof(f4712,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1242]) ).
fof(f4711,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1210]) ).
fof(f4710,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1206]) ).
fof(f4709,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1181]) ).
fof(f4708,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1177]) ).
fof(f4707,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1152]) ).
fof(f4706,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1148]) ).
fof(f4705,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_rng(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1128]) ).
fof(f4704,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_rng(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1124]) ).
fof(f4703,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_dom(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1104]) ).
fof(f4702,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_dom(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1100]) ).
fof(f4701,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(powerset(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1080]) ).
fof(f4700,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(powerset(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1076]) ).
fof(f4699,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(powerset(relation_rng(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1056]) ).
fof(f4698,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(powerset(relation_dom(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f1052]) ).
fof(f4697,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK19) ),
inference(resolution,[],[f4602,f1037]) ).
fof(f4696,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK19) ),
inference(resolution,[],[f4602,f1033]) ).
fof(f4695,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK18) ),
inference(resolution,[],[f4602,f1018]) ).
fof(f4694,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK18) ),
inference(resolution,[],[f4602,f1014]) ).
fof(f4693,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK17) ),
inference(resolution,[],[f4602,f999]) ).
fof(f4692,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK17) ),
inference(resolution,[],[f4602,f995]) ).
fof(f4691,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),sK15) ),
inference(resolution,[],[f4602,f980]) ).
fof(f4690,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),sK15) ),
inference(resolution,[],[f4602,f976]) ).
fof(f4689,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(sK6(powerset(X0)))),empty_set) ),
inference(resolution,[],[f4602,f959]) ).
fof(f4688,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(sK6(powerset(X0)))),empty_set) ),
inference(resolution,[],[f4602,f955]) ).
fof(f4687,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f936]) ).
fof(f4686,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f935]) ).
fof(f4685,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f931]) ).
fof(f4684,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f912]) ).
fof(f4683,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f911]) ).
fof(f4682,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f907]) ).
fof(f4681,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f888]) ).
fof(f4680,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f887]) ).
fof(f4679,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f883]) ).
fof(f4678,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f864]) ).
fof(f4677,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f863]) ).
fof(f4676,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f859]) ).
fof(f4675,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(sK11(powerset(sK11(sK6(powerset(X0))))))),sK5) ),
inference(resolution,[],[f4602,f845]) ).
fof(f4674,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_rng(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f844]) ).
fof(f4673,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_dom(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f840]) ).
fof(f4672,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(powerset(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f821]) ).
fof(f4671,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f820]) ).
fof(f4670,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f816]) ).
fof(f4669,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(powerset(sK11(sK6(powerset(X0)))))),sK5) ),
inference(resolution,[],[f4602,f802]) ).
fof(f4668,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f801]) ).
fof(f4667,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f797]) ).
fof(f4666,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(sK11(sK6(powerset(X0))))),sK5) ),
inference(resolution,[],[f4602,f783]) ).
fof(f4663,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(sK6(powerset(X0))),sK19) ),
inference(resolution,[],[f4602,f774]) ).
fof(f4662,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(sK6(powerset(X0))),sK18) ),
inference(resolution,[],[f4602,f773]) ).
fof(f4661,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(sK6(powerset(X0))),sK17) ),
inference(resolution,[],[f4602,f772]) ).
fof(f4660,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(sK6(powerset(X0))),sK15) ),
inference(resolution,[],[f4602,f770]) ).
fof(f4658,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(sK6(powerset(X0))),empty_set) ),
inference(resolution,[],[f4602,f767]) ).
fof(f4657,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(powerset(relation_rng(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f669]) ).
fof(f4656,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(powerset(relation_dom(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f665]) ).
fof(f4655,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(sK11(powerset(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f650]) ).
fof(f4654,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(sK11(powerset(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f649]) ).
fof(f4653,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(powerset(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f647]) ).
fof(f4652,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f345]) ).
fof(f4651,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f343]) ).
fof(f4650,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f329]) ).
fof(f4649,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f327]) ).
fof(f4648,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_rng(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f313]) ).
fof(f4647,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_dom(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f311]) ).
fof(f4646,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_rng(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f297]) ).
fof(f4645,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_dom(sK11(sK6(powerset(X0)))))) ),
inference(resolution,[],[f4602,f295]) ).
fof(f4644,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| relation_rng(sK11(sK6(powerset(X0)))) = X1 ),
inference(resolution,[],[f4602,f284]) ).
fof(f4643,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| relation_dom(sK11(sK6(powerset(X0)))) = X1 ),
inference(resolution,[],[f4602,f282]) ).
fof(f4642,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f258]) ).
fof(f4641,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f256]) ).
fof(f4640,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f245]) ).
fof(f4639,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(sK11(sK6(powerset(X0))))) ),
inference(resolution,[],[f4602,f243]) ).
fof(f4638,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4602,f237]) ).
fof(f4637,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4602,f236]) ).
fof(f4636,plain,
! [X0,X1] :
( ~ empty(X0)
| sK11(sK6(powerset(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f4602,f198]) ).
fof(f4602,plain,
! [X0] :
( empty(sK11(sK6(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f4063,f363]) ).
fof(f4623,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ empty(X0)
| relation_composition(X1,X2) = relation_composition(X0,sK5)
| ~ empty(X1) ),
inference(resolution,[],[f4612,f188]) ).
fof(f4622,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| ~ empty(X0)
| relation_composition(X1,X2) = relation_composition(X0,sK5)
| ~ empty(X2) ),
inference(resolution,[],[f4612,f190]) ).
fof(f4612,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_composition(X0,sK5) = X1
| ~ empty(X0) ),
inference(resolution,[],[f377,f132]) ).
fof(f4620,plain,
! [X0,X1] :
( relation_composition(X0,empty_set) = X1
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f4618,f228]) ).
fof(f4618,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(X0,sK20) = X1
| ~ empty(X1) ),
inference(resolution,[],[f377,f214]) ).
fof(f4619,plain,
! [X0,X1] :
( relation_composition(X0,empty_set) = X1
| ~ empty(X0)
| ~ empty(X1) ),
inference(forward_demodulation,[],[f4614,f227]) ).
fof(f4614,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(X0,sK16) = X1
| ~ empty(X1) ),
inference(resolution,[],[f377,f207]) ).
fof(f4609,plain,
! [X2,X3,X0,X1] :
( ~ relation(X2)
| relation_composition(X0,relation_composition(X1,X2)) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f377,f189]) ).
fof(f4608,plain,
! [X2,X3,X0,X1] :
( ~ relation(X1)
| relation_composition(X0,relation_composition(X1,X2)) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f377,f191]) ).
fof(f4607,plain,
! [X2,X3,X0,X1] :
( ~ relation(X2)
| relation_composition(X0,relation_composition(X1,X2)) = X3
| ~ empty(X3)
| ~ empty(X0)
| ~ relation(X1) ),
inference(resolution,[],[f377,f196]) ).
fof(f377,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| relation_composition(X1,X0) = X2
| ~ empty(X2) ),
inference(resolution,[],[f188,f198]) ).
fof(f4603,plain,
! [X0] :
( ~ empty(X0)
| empty(sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4063,f4061]) ).
fof(f4063,plain,
! [X0,X1] :
( ~ in(X1,sK11(sK6(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f4060,f141]) ).
fof(f4060,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK11(sK6(powerset(X0)))) ),
inference(resolution,[],[f4050,f201]) ).
fof(f4588,plain,
! [X0] :
( empty_set = relation_composition(sK19,relation_rng(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f4039,f646]) ).
fof(f4587,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK19,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f4039,f147]) ).
fof(f4585,plain,
! [X0,X1] :
( empty_set = relation_composition(sK19,relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4039,f188]) ).
fof(f4584,plain,
! [X0,X1] :
( empty_set = relation_composition(sK19,relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4039,f190]) ).
fof(f4583,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK19,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f4039,f149]) ).
fof(f4039,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK19,relation_rng(X0)) ),
inference(resolution,[],[f3775,f147]) ).
fof(f4569,plain,
! [X0] :
( empty_set = relation_composition(sK19,relation_dom(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f4035,f646]) ).
fof(f4568,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK19,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f4035,f147]) ).
fof(f4566,plain,
! [X0,X1] :
( empty_set = relation_composition(sK19,relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4035,f188]) ).
fof(f4565,plain,
! [X0,X1] :
( empty_set = relation_composition(sK19,relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4035,f190]) ).
fof(f4564,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK19,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f4035,f149]) ).
fof(f4035,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK19,relation_dom(X0)) ),
inference(resolution,[],[f3775,f149]) ).
fof(f4550,plain,
! [X0] :
( empty_set = relation_composition(sK18,relation_rng(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f4018,f646]) ).
fof(f4549,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f4018,f147]) ).
fof(f4547,plain,
! [X0,X1] :
( empty_set = relation_composition(sK18,relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4018,f188]) ).
fof(f4546,plain,
! [X0,X1] :
( empty_set = relation_composition(sK18,relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4018,f190]) ).
fof(f4545,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f4018,f149]) ).
fof(f4018,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,relation_rng(X0)) ),
inference(resolution,[],[f3774,f147]) ).
fof(f4531,plain,
! [X0] :
( empty_set = relation_composition(sK18,relation_dom(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f4014,f646]) ).
fof(f4530,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f4014,f147]) ).
fof(f4528,plain,
! [X0,X1] :
( empty_set = relation_composition(sK18,relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f4014,f188]) ).
fof(f4527,plain,
! [X0,X1] :
( empty_set = relation_composition(sK18,relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f4014,f190]) ).
fof(f4526,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f4014,f149]) ).
fof(f4014,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,relation_dom(X0)) ),
inference(resolution,[],[f3774,f149]) ).
fof(f4512,plain,
! [X0] :
( empty_set = relation_composition(sK17,relation_rng(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3996,f646]) ).
fof(f4511,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f3996,f147]) ).
fof(f4509,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3996,f188]) ).
fof(f4508,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3996,f190]) ).
fof(f4507,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f3996,f149]) ).
fof(f3996,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_rng(X0)) ),
inference(resolution,[],[f3773,f147]) ).
fof(f4493,plain,
! [X0] :
( empty_set = relation_composition(sK17,relation_dom(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3992,f646]) ).
fof(f4492,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f3992,f147]) ).
fof(f4490,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3992,f188]) ).
fof(f4489,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3992,f190]) ).
fof(f4488,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f3992,f149]) ).
fof(f3992,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,relation_dom(X0)) ),
inference(resolution,[],[f3773,f149]) ).
fof(f4474,plain,
! [X0] :
( empty_set = relation_composition(sK15,relation_rng(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3975,f646]) ).
fof(f4473,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f3975,f147]) ).
fof(f4471,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3975,f188]) ).
fof(f4470,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3975,f190]) ).
fof(f4469,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f3975,f149]) ).
fof(f3975,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_rng(X0)) ),
inference(resolution,[],[f3771,f147]) ).
fof(f4455,plain,
! [X0] :
( empty_set = relation_composition(sK15,relation_dom(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3971,f646]) ).
fof(f4454,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f3971,f147]) ).
fof(f4452,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3971,f188]) ).
fof(f4451,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3971,f190]) ).
fof(f4450,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f3971,f149]) ).
fof(f3971,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,relation_dom(X0)) ),
inference(resolution,[],[f3771,f149]) ).
fof(f4436,plain,
! [X0] :
( empty_set = relation_composition(empty_set,relation_rng(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3961,f646]) ).
fof(f4435,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f3961,f147]) ).
fof(f4433,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_rng(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3961,f188]) ).
fof(f4432,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_rng(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3961,f190]) ).
fof(f4431,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f3961,f149]) ).
fof(f3961,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_rng(X0)) ),
inference(resolution,[],[f3768,f147]) ).
fof(f4417,plain,
! [X0] :
( empty_set = relation_composition(empty_set,relation_dom(sK11(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f3957,f646]) ).
fof(f4416,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f3957,f147]) ).
fof(f4414,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_dom(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3957,f188]) ).
fof(f4413,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_dom(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3957,f190]) ).
fof(f4412,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f3957,f149]) ).
fof(f3957,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,relation_dom(X0)) ),
inference(resolution,[],[f3768,f149]) ).
fof(f4387,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3937,f646]) ).
fof(f4384,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3937,f188]) ).
fof(f4383,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3937,f190]) ).
fof(f3937,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f3823,f147]) ).
fof(f4358,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3933,f646]) ).
fof(f4355,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3933,f188]) ).
fof(f4354,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3933,f190]) ).
fof(f3933,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f3823,f149]) ).
fof(f4329,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3913,f646]) ).
fof(f4326,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3913,f188]) ).
fof(f4325,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3913,f190]) ).
fof(f3913,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f3819,f147]) ).
fof(f4300,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3909,f646]) ).
fof(f4297,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3909,f188]) ).
fof(f4296,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3909,f190]) ).
fof(f3909,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f3819,f149]) ).
fof(f4271,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3885,f646]) ).
fof(f4268,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3885,f188]) ).
fof(f4267,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3885,f190]) ).
fof(f3885,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f3804,f147]) ).
fof(f4242,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3881,f646]) ).
fof(f4239,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3881,f188]) ).
fof(f4238,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3881,f190]) ).
fof(f3881,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f3804,f149]) ).
fof(f4213,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3861,f646]) ).
fof(f4210,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3861,f188]) ).
fof(f4209,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3861,f190]) ).
fof(f3861,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f3800,f147]) ).
fof(f4184,plain,
! [X0] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(sK11(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f3857,f646]) ).
fof(f4181,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3857,f188]) ).
fof(f4180,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3857,f190]) ).
fof(f3857,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f3800,f149]) ).
fof(f4160,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(relation_rng(sK11(powerset(X0)))))) ),
inference(resolution,[],[f3842,f646]) ).
fof(f4157,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3842,f188]) ).
fof(f4156,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_rng(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3842,f190]) ).
fof(f3842,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(relation_rng(X0)))) ),
inference(resolution,[],[f3784,f147]) ).
fof(f4136,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(relation_dom(sK11(powerset(X0)))))) ),
inference(resolution,[],[f3838,f646]) ).
fof(f4133,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3838,f188]) ).
fof(f4132,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_dom(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3838,f190]) ).
fof(f3838,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(relation_dom(X0)))) ),
inference(resolution,[],[f3784,f149]) ).
fof(f4112,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(sK11(powerset(sK11(powerset(X0)))))) ),
inference(resolution,[],[f3824,f646]) ).
fof(f4109,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3824,f188]) ).
fof(f4108,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3824,f190]) ).
fof(f3824,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(sK11(powerset(X0)))) ),
inference(resolution,[],[f3783,f646]) ).
fof(f4106,plain,
! [X0,X1] :
( ~ in(X0,sK11(sK6(powerset(X1))))
| element(X0,X1) ),
inference(subsumption_resolution,[],[f4105,f141]) ).
fof(f4105,plain,
! [X0,X1] :
( ~ in(X0,sK11(sK6(powerset(X1))))
| element(X0,X1)
| empty(powerset(X1)) ),
inference(resolution,[],[f836,f4061]) ).
fof(f836,plain,
! [X2,X0,X1] :
( ~ in(X2,powerset(X1))
| ~ in(X0,X2)
| element(X0,X1) ),
inference(resolution,[],[f200,f186]) ).
fof(f4082,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(sK11(powerset(sK11(powerset(X0)))))) ),
inference(resolution,[],[f3805,f646]) ).
fof(f4079,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3805,f188]) ).
fof(f4078,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(sK11(powerset(relation_composition(X0,X1)))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3805,f190]) ).
fof(f3805,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(sK11(powerset(X0)))) ),
inference(resolution,[],[f3779,f646]) ).
fof(f4064,plain,
! [X0] :
( ~ in(X0,sK11(sK6(X0)))
| empty(X0) ),
inference(resolution,[],[f4061,f185]) ).
fof(f4073,plain,
! [X0] :
( empty(sK11(powerset(X0)))
| element(sK11(sK6(sK11(powerset(X0)))),X0) ),
inference(resolution,[],[f4061,f839]) ).
fof(f4071,plain,
! [X0] :
( empty(relation_rng(X0))
| sK11(sK6(relation_rng(X0))) = apply(X0,apply(function_inverse(X0),sK11(sK6(relation_rng(X0)))))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f4061,f194]) ).
fof(f4070,plain,
! [X0] :
( empty(relation_rng(X0))
| sK11(sK6(relation_rng(X0))) = apply(relation_composition(function_inverse(X0),X0),sK11(sK6(relation_rng(X0))))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f4061,f195]) ).
fof(f4075,plain,
! [X0,X1] :
( ~ in(X1,sK11(sK6(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f4069,f141]) ).
fof(f4069,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ in(X1,sK11(sK6(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f4061,f620]) ).
fof(f4067,plain,
! [X0,X1] :
( empty(relation_dom(X0))
| in(apply(X0,sK11(sK6(relation_dom(X0)))),relation_rng(X0))
| ~ sP1(X1,X0) ),
inference(resolution,[],[f4061,f219]) ).
fof(f4066,plain,
! [X0,X1] :
( empty(relation_dom(X0))
| sK11(sK6(relation_dom(X0))) = apply(X1,apply(X0,sK11(sK6(relation_dom(X0)))))
| ~ sP1(X1,X0) ),
inference(resolution,[],[f4061,f218]) ).
fof(f4061,plain,
! [X0] :
( in(sK11(sK6(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f4058]) ).
fof(f4058,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK11(sK6(X0)),X0) ),
inference(resolution,[],[f4050,f187]) ).
fof(f4050,plain,
! [X0] :
( element(sK11(sK6(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f4049,f143]) ).
fof(f4049,plain,
! [X0] :
( element(sK11(sK6(X0)),X0)
| empty(X0)
| empty(sK6(X0)) ),
inference(resolution,[],[f838,f363]) ).
fof(f4038,plain,
empty_set = relation_composition(sK19,empty_set),
inference(resolution,[],[f3775,f136]) ).
fof(f838,plain,
! [X0,X1] :
( ~ in(X0,sK6(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f200,f142]) ).
fof(f4048,plain,
empty_set = relation_composition(sK19,empty_set),
inference(forward_demodulation,[],[f4044,f228]) ).
fof(f4044,plain,
empty_set = relation_composition(sK19,sK20),
inference(resolution,[],[f3775,f215]) ).
fof(f4047,plain,
empty_set = relation_composition(sK19,empty_set),
inference(forward_demodulation,[],[f4043,f227]) ).
fof(f4043,plain,
empty_set = relation_composition(sK19,sK16),
inference(resolution,[],[f3775,f206]) ).
fof(f4046,plain,
empty_set = relation_composition(sK19,empty_set),
inference(forward_demodulation,[],[f4042,f226]) ).
fof(f4042,plain,
empty_set = relation_composition(sK19,sK14),
inference(resolution,[],[f3775,f203]) ).
fof(f4045,plain,
empty_set = relation_composition(sK19,empty_set),
inference(forward_demodulation,[],[f4041,f225]) ).
fof(f4041,plain,
! [X0] : empty_set = relation_composition(sK19,sK12(X0)),
inference(resolution,[],[f3775,f183]) ).
fof(f4037,plain,
! [X0,X1] :
( empty_set = relation_composition(sK19,relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3775,f188]) ).
fof(f4036,plain,
! [X0,X1] :
( empty_set = relation_composition(sK19,relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3775,f190]) ).
fof(f3775,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK19,X0) ),
inference(resolution,[],[f384,f211]) ).
fof(f4017,plain,
empty_set = relation_composition(sK18,empty_set),
inference(resolution,[],[f3774,f136]) ).
fof(f4027,plain,
empty_set = relation_composition(sK18,empty_set),
inference(forward_demodulation,[],[f4023,f228]) ).
fof(f4023,plain,
empty_set = relation_composition(sK18,sK20),
inference(resolution,[],[f3774,f215]) ).
fof(f4026,plain,
empty_set = relation_composition(sK18,empty_set),
inference(forward_demodulation,[],[f4022,f227]) ).
fof(f4022,plain,
empty_set = relation_composition(sK18,sK16),
inference(resolution,[],[f3774,f206]) ).
fof(f4025,plain,
empty_set = relation_composition(sK18,empty_set),
inference(forward_demodulation,[],[f4021,f226]) ).
fof(f4021,plain,
empty_set = relation_composition(sK18,sK14),
inference(resolution,[],[f3774,f203]) ).
fof(f4024,plain,
empty_set = relation_composition(sK18,empty_set),
inference(forward_demodulation,[],[f4020,f225]) ).
fof(f4020,plain,
! [X0] : empty_set = relation_composition(sK18,sK12(X0)),
inference(resolution,[],[f3774,f183]) ).
fof(f4016,plain,
! [X0,X1] :
( empty_set = relation_composition(sK18,relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3774,f188]) ).
fof(f4015,plain,
! [X0,X1] :
( empty_set = relation_composition(sK18,relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3774,f190]) ).
fof(f3774,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK18,X0) ),
inference(resolution,[],[f384,f209]) ).
fof(f835,plain,
! [X2,X0,X1] :
( ~ subset(X2,X1)
| ~ in(X0,X2)
| element(X0,X1) ),
inference(resolution,[],[f200,f197]) ).
fof(f3995,plain,
empty_set = relation_composition(sK17,empty_set),
inference(resolution,[],[f3773,f136]) ).
fof(f4005,plain,
empty_set = relation_composition(sK17,empty_set),
inference(forward_demodulation,[],[f4001,f228]) ).
fof(f4001,plain,
empty_set = relation_composition(sK17,sK20),
inference(resolution,[],[f3773,f215]) ).
fof(f4004,plain,
empty_set = relation_composition(sK17,empty_set),
inference(forward_demodulation,[],[f4000,f227]) ).
fof(f4000,plain,
empty_set = relation_composition(sK17,sK16),
inference(resolution,[],[f3773,f206]) ).
fof(f4003,plain,
empty_set = relation_composition(sK17,empty_set),
inference(forward_demodulation,[],[f3999,f226]) ).
fof(f3999,plain,
empty_set = relation_composition(sK17,sK14),
inference(resolution,[],[f3773,f203]) ).
fof(f4002,plain,
empty_set = relation_composition(sK17,empty_set),
inference(forward_demodulation,[],[f3998,f225]) ).
fof(f3998,plain,
! [X0] : empty_set = relation_composition(sK17,sK12(X0)),
inference(resolution,[],[f3773,f183]) ).
fof(f3994,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3773,f188]) ).
fof(f3993,plain,
! [X0,X1] :
( empty_set = relation_composition(sK17,relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3773,f190]) ).
fof(f3773,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK17,X0) ),
inference(resolution,[],[f384,f208]) ).
fof(f3974,plain,
empty_set = relation_composition(sK15,empty_set),
inference(resolution,[],[f3771,f136]) ).
fof(f3984,plain,
empty_set = relation_composition(sK15,empty_set),
inference(forward_demodulation,[],[f3980,f228]) ).
fof(f3980,plain,
empty_set = relation_composition(sK15,sK20),
inference(resolution,[],[f3771,f215]) ).
fof(f3983,plain,
empty_set = relation_composition(sK15,empty_set),
inference(forward_demodulation,[],[f3979,f227]) ).
fof(f3979,plain,
empty_set = relation_composition(sK15,sK16),
inference(resolution,[],[f3771,f206]) ).
fof(f3982,plain,
empty_set = relation_composition(sK15,empty_set),
inference(forward_demodulation,[],[f3978,f226]) ).
fof(f3978,plain,
empty_set = relation_composition(sK15,sK14),
inference(resolution,[],[f3771,f203]) ).
fof(f3981,plain,
empty_set = relation_composition(sK15,empty_set),
inference(forward_demodulation,[],[f3977,f225]) ).
fof(f3977,plain,
! [X0] : empty_set = relation_composition(sK15,sK12(X0)),
inference(resolution,[],[f3771,f183]) ).
fof(f3973,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3771,f188]) ).
fof(f3972,plain,
! [X0,X1] :
( empty_set = relation_composition(sK15,relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3771,f190]) ).
fof(f3771,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK15,X0) ),
inference(resolution,[],[f384,f205]) ).
fof(f3959,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3768,f188]) ).
fof(f3958,plain,
! [X0,X1] :
( empty_set = relation_composition(empty_set,relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3768,f190]) ).
fof(f3768,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(empty_set,X0) ),
inference(resolution,[],[f384,f138]) ).
fof(f3935,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3823,f188]) ).
fof(f3934,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3823,f190]) ).
fof(f3823,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f3783,f147]) ).
fof(f3911,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3819,f188]) ).
fof(f3910,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3819,f190]) ).
fof(f3819,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f3783,f149]) ).
fof(f620,plain,
! [X2,X0,X1] :
( ~ in(X2,powerset(X0))
| ~ in(X1,X2)
| ~ empty(X0) ),
inference(resolution,[],[f201,f186]) ).
fof(f3883,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3804,f188]) ).
fof(f3882,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3804,f190]) ).
fof(f3804,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f3779,f147]) ).
fof(f3859,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3800,f188]) ).
fof(f3858,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3800,f190]) ).
fof(f3800,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f3779,f149]) ).
fof(f3840,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f3784,f188]) ).
fof(f3839,plain,
! [X0,X1] :
( empty_set = relation_composition(sK5,sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f3784,f190]) ).
fof(f3784,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,sK11(powerset(X0))) ),
inference(resolution,[],[f3770,f646]) ).
fof(f3821,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(sK5,relation_rng(relation_composition(X0,X1)))
| ~ empty(X0) ),
inference(resolution,[],[f3783,f188]) ).
fof(f3820,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(sK5,relation_rng(relation_composition(X0,X1)))
| ~ empty(X1) ),
inference(resolution,[],[f3783,f190]) ).
fof(f3783,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_rng(X0)) ),
inference(resolution,[],[f3770,f147]) ).
fof(f3802,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(sK5,relation_dom(relation_composition(X0,X1)))
| ~ empty(X0) ),
inference(resolution,[],[f3779,f188]) ).
fof(f3801,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(sK5,relation_dom(relation_composition(X0,X1)))
| ~ empty(X1) ),
inference(resolution,[],[f3779,f190]) ).
fof(f3779,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,relation_dom(X0)) ),
inference(resolution,[],[f3770,f149]) ).
fof(f3782,plain,
empty_set = relation_composition(sK5,empty_set),
inference(resolution,[],[f3770,f136]) ).
fof(f3792,plain,
empty_set = relation_composition(sK5,empty_set),
inference(forward_demodulation,[],[f3788,f228]) ).
fof(f3788,plain,
empty_set = relation_composition(sK5,sK20),
inference(resolution,[],[f3770,f215]) ).
fof(f3791,plain,
empty_set = relation_composition(sK5,empty_set),
inference(forward_demodulation,[],[f3787,f227]) ).
fof(f3787,plain,
empty_set = relation_composition(sK5,sK16),
inference(resolution,[],[f3770,f206]) ).
fof(f3790,plain,
empty_set = relation_composition(sK5,empty_set),
inference(forward_demodulation,[],[f3786,f226]) ).
fof(f3786,plain,
empty_set = relation_composition(sK5,sK14),
inference(resolution,[],[f3770,f203]) ).
fof(f3789,plain,
empty_set = relation_composition(sK5,empty_set),
inference(forward_demodulation,[],[f3785,f225]) ).
fof(f3785,plain,
! [X0] : empty_set = relation_composition(sK5,sK12(X0)),
inference(resolution,[],[f3770,f183]) ).
fof(f3770,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK5,X0) ),
inference(resolution,[],[f384,f132]) ).
fof(f3778,plain,
! [X0] :
( empty_set = relation_composition(empty_set,X0)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f3776,f228]) ).
fof(f3776,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK20,X0) ),
inference(resolution,[],[f384,f214]) ).
fof(f3777,plain,
! [X0] :
( empty_set = relation_composition(empty_set,X0)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f3772,f227]) ).
fof(f3772,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK16,X0) ),
inference(resolution,[],[f384,f207]) ).
fof(f3762,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(X1,X0) = empty_set
| ~ empty(X1) ),
inference(resolution,[],[f384,f145]) ).
fof(f384,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| relation_composition(X0,X1) = empty_set ),
inference(resolution,[],[f190,f146]) ).
fof(f3743,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1782,f646]) ).
fof(f3742,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1782,f147]) ).
fof(f3740,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,[],[f1782,f188]) ).
fof(f3739,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,[],[f1782,f190]) ).
fof(f3738,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1782,f149]) ).
fof(f1782,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1619,f147]) ).
fof(f3719,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1778,f646]) ).
fof(f3718,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1778,f147]) ).
fof(f3716,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,[],[f1778,f188]) ).
fof(f3715,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,[],[f1778,f190]) ).
fof(f3714,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1778,f149]) ).
fof(f1778,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1619,f149]) ).
fof(f3690,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1758,f646]) ).
fof(f3689,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1758,f147]) ).
fof(f3687,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,[],[f1758,f188]) ).
fof(f3686,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,[],[f1758,f190]) ).
fof(f3685,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1758,f149]) ).
fof(f1758,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1604,f147]) ).
fof(f3661,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1754,f646]) ).
fof(f3660,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1754,f147]) ).
fof(f3658,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,[],[f1754,f188]) ).
fof(f3657,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,[],[f1754,f190]) ).
fof(f3656,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1754,f149]) ).
fof(f1754,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1604,f149]) ).
fof(f3632,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1734,f646]) ).
fof(f3631,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_rng(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1734,f147]) ).
fof(f3629,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,[],[f1734,f188]) ).
fof(f3628,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,[],[f1734,f190]) ).
fof(f3627,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_rng(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1734,f149]) ).
fof(f1734,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f1600,f147]) ).
fof(f3603,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1730,f646]) ).
fof(f3602,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_dom(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1730,f147]) ).
fof(f3600,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,[],[f1730,f188]) ).
fof(f3599,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,[],[f1730,f190]) ).
fof(f3598,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_dom(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1730,f149]) ).
fof(f1730,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f1600,f149]) ).
fof(f3569,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1362,f646]) ).
fof(f3568,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1362,f147]) ).
fof(f3566,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,[],[f1362,f188]) ).
fof(f3565,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,[],[f1362,f190]) ).
fof(f3564,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1362,f149]) ).
fof(f1362,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f935,f147]) ).
fof(f3535,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1358,f646]) ).
fof(f3534,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1358,f147]) ).
fof(f3532,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,[],[f1358,f188]) ).
fof(f3531,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,[],[f1358,f190]) ).
fof(f3530,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1358,f149]) ).
fof(f1358,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f935,f149]) ).
fof(f3501,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1333,f646]) ).
fof(f3500,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1333,f147]) ).
fof(f3498,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,[],[f1333,f188]) ).
fof(f3497,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,[],[f1333,f190]) ).
fof(f3496,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1333,f149]) ).
fof(f1333,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f931,f147]) ).
fof(f3467,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1329,f646]) ).
fof(f3466,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1329,f147]) ).
fof(f3464,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,[],[f1329,f188]) ).
fof(f3463,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,[],[f1329,f190]) ).
fof(f3462,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1329,f149]) ).
fof(f1329,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f931,f149]) ).
fof(f3433,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1304,f646]) ).
fof(f3432,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1304,f147]) ).
fof(f3430,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,[],[f1304,f188]) ).
fof(f3429,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,[],[f1304,f190]) ).
fof(f3428,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1304,f149]) ).
fof(f1304,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f911,f147]) ).
fof(f163,plain,
! [X0,X1] :
( ~ sP0(sK7(X0,X1),sK8(X0,X1),X1,X0)
| sK8(X0,X1) != apply(X0,sK7(X0,X1))
| ~ in(sK7(X0,X1),relation_rng(X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f3396,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1300,f646]) ).
fof(f3395,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1300,f147]) ).
fof(f3393,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,[],[f1300,f188]) ).
fof(f3392,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,[],[f1300,f190]) ).
fof(f3391,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1300,f149]) ).
fof(f1300,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f911,f149]) ).
fof(f3362,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1275,f646]) ).
fof(f3361,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1275,f147]) ).
fof(f3359,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,[],[f1275,f188]) ).
fof(f3358,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,[],[f1275,f190]) ).
fof(f3357,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1275,f149]) ).
fof(f1275,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f907,f147]) ).
fof(f3328,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1271,f646]) ).
fof(f3327,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1271,f147]) ).
fof(f3325,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,[],[f1271,f188]) ).
fof(f3324,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,[],[f1271,f190]) ).
fof(f3323,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1271,f149]) ).
fof(f1271,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f907,f149]) ).
fof(f3294,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1246,f646]) ).
fof(f3293,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1246,f147]) ).
fof(f3291,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,[],[f1246,f188]) ).
fof(f3290,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,[],[f1246,f190]) ).
fof(f3289,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1246,f149]) ).
fof(f1246,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f887,f147]) ).
fof(f3260,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1242,f646]) ).
fof(f3259,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1242,f147]) ).
fof(f3257,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,[],[f1242,f188]) ).
fof(f3256,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,[],[f1242,f190]) ).
fof(f3255,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1242,f149]) ).
fof(f1242,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f887,f149]) ).
fof(f3226,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1210,f646]) ).
fof(f3225,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1210,f147]) ).
fof(f3223,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,[],[f1210,f188]) ).
fof(f3222,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,[],[f1210,f190]) ).
fof(f3221,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1210,f149]) ).
fof(f1210,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f883,f147]) ).
fof(f3192,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1206,f646]) ).
fof(f3191,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1206,f147]) ).
fof(f3189,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,[],[f1206,f188]) ).
fof(f3188,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,[],[f1206,f190]) ).
fof(f3187,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1206,f149]) ).
fof(f1206,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f883,f149]) ).
fof(f3158,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1181,f646]) ).
fof(f3157,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1181,f147]) ).
fof(f3155,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,[],[f1181,f188]) ).
fof(f3154,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,[],[f1181,f190]) ).
fof(f3153,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1181,f149]) ).
fof(f1181,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f863,f147]) ).
fof(f3124,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1177,f646]) ).
fof(f3123,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1177,f147]) ).
fof(f3121,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,[],[f1177,f188]) ).
fof(f3120,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,[],[f1177,f190]) ).
fof(f3119,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1177,f149]) ).
fof(f1177,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f863,f149]) ).
fof(f3090,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1152,f646]) ).
fof(f3089,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1152,f147]) ).
fof(f3087,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,[],[f1152,f188]) ).
fof(f3086,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,[],[f1152,f190]) ).
fof(f3085,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1152,f149]) ).
fof(f1152,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f859,f147]) ).
fof(f3056,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1148,f646]) ).
fof(f3055,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1148,f147]) ).
fof(f3053,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,[],[f1148,f188]) ).
fof(f3052,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,[],[f1148,f190]) ).
fof(f3051,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1148,f149]) ).
fof(f1148,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f859,f149]) ).
fof(f162,plain,
! [X0,X1] :
( ~ sP0(sK7(X0,X1),sK8(X0,X1),X1,X0)
| sK7(X0,X1) = apply(X1,sK8(X0,X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f3029,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(sK11(powerset(X0)))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2089,f646]) ).
fof(f3028,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_rng(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2089,f147]) ).
fof(f3026,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK19),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2089,f188]) ).
fof(f3025,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK19),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2089,f190]) ).
fof(f3024,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_dom(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2089,f149]) ).
fof(f2089,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(X0)),sK19),sK5) ),
inference(resolution,[],[f1983,f646]) ).
fof(f3005,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(sK11(powerset(X0)))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2070,f646]) ).
fof(f3004,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_rng(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2070,f147]) ).
fof(f3002,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK18),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2070,f188]) ).
fof(f3001,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK18),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2070,f190]) ).
fof(f3000,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_dom(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2070,f149]) ).
fof(f2070,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(X0)),sK18),sK5) ),
inference(resolution,[],[f1982,f646]) ).
fof(f2981,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(sK11(powerset(X0)))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2051,f646]) ).
fof(f2980,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_rng(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2051,f147]) ).
fof(f2978,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK17),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2051,f188]) ).
fof(f2977,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK17),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2051,f190]) ).
fof(f2976,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_dom(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2051,f149]) ).
fof(f2051,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(X0)),sK17),sK5) ),
inference(resolution,[],[f1981,f646]) ).
fof(f2957,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(sK11(powerset(X0)))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2030,f646]) ).
fof(f2956,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_rng(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2030,f147]) ).
fof(f2954,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK15),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2030,f188]) ).
fof(f2953,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK15),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2030,f190]) ).
fof(f2952,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_dom(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2030,f149]) ).
fof(f2030,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(X0)),sK15),sK5) ),
inference(resolution,[],[f1979,f646]) ).
fof(f2933,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(sK11(powerset(X0)))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2011,f646]) ).
fof(f2932,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_rng(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2011,f147]) ).
fof(f2930,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK5),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2011,f188]) ).
fof(f2929,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),sK5),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2011,f190]) ).
fof(f2928,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_dom(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2011,f149]) ).
fof(f2011,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(X0)),sK5),sK5) ),
inference(resolution,[],[f1978,f646]) ).
fof(f2909,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(sK11(powerset(X0)))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1992,f646]) ).
fof(f2908,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_rng(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1992,f147]) ).
fof(f2906,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),empty_set),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1992,f188]) ).
fof(f2905,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_composition(X0,X1))),empty_set),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1992,f190]) ).
fof(f2904,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK11(powerset(relation_dom(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1992,f149]) ).
fof(f1992,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK11(powerset(X0)),empty_set),sK5) ),
inference(resolution,[],[f1976,f646]) ).
fof(f2890,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,sK11(powerset(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1712,f646]) ).
fof(f2889,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,sK11(powerset(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1712,f147]) ).
fof(f2887,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1712,f188]) ).
fof(f2886,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1712,f190]) ).
fof(f2885,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,sK11(powerset(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1712,f149]) ).
fof(f1712,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,sK11(powerset(X0))),sK5) ),
inference(resolution,[],[f1596,f646]) ).
fof(f2871,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,sK11(powerset(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1692,f646]) ).
fof(f2870,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,sK11(powerset(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1692,f147]) ).
fof(f2868,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1692,f188]) ).
fof(f2867,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1692,f190]) ).
fof(f2866,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,sK11(powerset(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1692,f149]) ).
fof(f1692,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,sK11(powerset(X0))),sK5) ),
inference(resolution,[],[f1595,f646]) ).
fof(f2852,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,sK11(powerset(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1668,f646]) ).
fof(f2851,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,sK11(powerset(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1668,f147]) ).
fof(f2849,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1668,f188]) ).
fof(f2848,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1668,f190]) ).
fof(f2847,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,sK11(powerset(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1668,f149]) ).
fof(f1668,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,sK11(powerset(X0))),sK5) ),
inference(resolution,[],[f1594,f646]) ).
fof(f2833,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,sK11(powerset(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1648,f646]) ).
fof(f2832,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,sK11(powerset(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1648,f147]) ).
fof(f2830,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1648,f188]) ).
fof(f2829,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1648,f190]) ).
fof(f2828,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,sK11(powerset(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1648,f149]) ).
fof(f1648,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,sK11(powerset(X0))),sK5) ),
inference(resolution,[],[f1592,f646]) ).
fof(f2814,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,sK11(powerset(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1624,f646]) ).
fof(f2813,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,sK11(powerset(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1624,f147]) ).
fof(f2811,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1624,f188]) ).
fof(f2810,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1624,f190]) ).
fof(f2809,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,sK11(powerset(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1624,f149]) ).
fof(f1624,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,sK11(powerset(X0))),sK5) ),
inference(resolution,[],[f1591,f646]) ).
fof(f161,plain,
! [X0,X1] :
( ~ sP0(sK7(X0,X1),sK8(X0,X1),X1,X0)
| in(sK8(X0,X1),relation_dom(X1))
| sP1(X0,X1)
| relation_dom(X0) != relation_rng(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f2787,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,sK11(powerset(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1605,f646]) ).
fof(f2786,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,sK11(powerset(relation_rng(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1605,f147]) ).
fof(f2784,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1605,f188]) ).
fof(f2783,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1605,f190]) ).
fof(f2782,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,sK11(powerset(relation_dom(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1605,f149]) ).
fof(f1605,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,sK11(powerset(X0))),sK5) ),
inference(resolution,[],[f1589,f646]) ).
fof(f2758,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1128,f646]) ).
fof(f2757,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1128,f147]) ).
fof(f2755,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1128,f188]) ).
fof(f2754,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1128,f190]) ).
fof(f2753,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1128,f149]) ).
fof(f1128,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_rng(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f844,f147]) ).
fof(f2729,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1124,f646]) ).
fof(f2728,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1124,f147]) ).
fof(f2726,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1124,f188]) ).
fof(f2725,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1124,f190]) ).
fof(f2724,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1124,f149]) ).
fof(f1124,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_rng(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f844,f149]) ).
fof(f2700,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1104,f646]) ).
fof(f2699,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1104,f147]) ).
fof(f2697,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1104,f188]) ).
fof(f2696,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1104,f190]) ).
fof(f2695,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1104,f149]) ).
fof(f1104,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_dom(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f840,f147]) ).
fof(f2671,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1100,f646]) ).
fof(f2670,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1100,f147]) ).
fof(f2668,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1100,f188]) ).
fof(f2667,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1100,f190]) ).
fof(f2666,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1100,f149]) ).
fof(f1100,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_dom(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f840,f149]) ).
fof(f2642,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1080,f646]) ).
fof(f2641,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1080,f147]) ).
fof(f2639,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1080,f188]) ).
fof(f2638,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1080,f190]) ).
fof(f2637,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1080,f149]) ).
fof(f1080,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(powerset(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f821,f147]) ).
fof(f2613,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1076,f646]) ).
fof(f2612,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1076,f147]) ).
fof(f2610,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1076,f188]) ).
fof(f2609,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1076,f190]) ).
fof(f2608,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1076,f149]) ).
fof(f1076,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(powerset(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f821,f149]) ).
fof(f2584,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_rng(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1056,f646]) ).
fof(f2583,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_rng(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1056,f147]) ).
fof(f2581,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1056,f188]) ).
fof(f2580,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_rng(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1056,f190]) ).
fof(f2579,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_rng(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1056,f149]) ).
fof(f1056,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(powerset(relation_rng(X0)))),sK5) ),
inference(resolution,[],[f802,f147]) ).
fof(f2555,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_dom(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1052,f646]) ).
fof(f2554,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_dom(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1052,f147]) ).
fof(f2552,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1052,f188]) ).
fof(f2551,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_dom(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1052,f190]) ).
fof(f2550,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_dom(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1052,f149]) ).
fof(f1052,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(powerset(relation_dom(X0)))),sK5) ),
inference(resolution,[],[f802,f149]) ).
fof(f2526,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f936,f646]) ).
fof(f2525,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f936,f147]) ).
fof(f2523,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f936,f188]) ).
fof(f2522,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f936,f190]) ).
fof(f2521,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f936,f149]) ).
fof(f936,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(sK11(powerset(X0)))),sK5) ),
inference(resolution,[],[f820,f646]) ).
fof(f2497,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f912,f646]) ).
fof(f2496,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f912,f147]) ).
fof(f2494,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f912,f188]) ).
fof(f2493,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f912,f190]) ).
fof(f2492,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f912,f149]) ).
fof(f912,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(sK11(powerset(X0)))),sK5) ),
inference(resolution,[],[f816,f646]) ).
fof(f172,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,[],[f111]) ).
fof(f2466,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f888,f646]) ).
fof(f2465,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f888,f147]) ).
fof(f2463,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f888,f188]) ).
fof(f2462,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f888,f190]) ).
fof(f2461,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f888,f149]) ).
fof(f888,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(sK11(powerset(X0)))),sK5) ),
inference(resolution,[],[f801,f646]) ).
fof(f2437,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f864,f646]) ).
fof(f2436,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(relation_rng(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f864,f147]) ).
fof(f2434,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f864,f188]) ).
fof(f2433,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f864,f190]) ).
fof(f2432,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(relation_dom(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f864,f149]) ).
fof(f864,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(sK11(powerset(X0)))),sK5) ),
inference(resolution,[],[f797,f646]) ).
fof(f2423,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,sK11(powerset(X1))),sK5)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1583,f646]) ).
fof(f2422,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_rng(X1)),sK5)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1583,f147]) ).
fof(f2420,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),sK5)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f1583,f188]) ).
fof(f2419,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),sK5)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f1583,f190]) ).
fof(f2418,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_dom(X1)),sK5)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1583,f149]) ).
fof(f1583,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_composition(X0,X1),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f779,f145]) ).
fof(f2399,plain,
! [X0] :
( empty_set = relation_composition(sK11(powerset(sK11(powerset(sK11(powerset(X0)))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f845,f646]) ).
fof(f2398,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(sK11(powerset(relation_rng(X0))))),sK5) ),
inference(resolution,[],[f845,f147]) ).
fof(f2396,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(sK11(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f845,f188]) ).
fof(f2395,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(sK11(powerset(relation_composition(X0,X1))))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f845,f190]) ).
fof(f2394,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(sK11(powerset(relation_dom(X0))))),sK5) ),
inference(resolution,[],[f845,f149]) ).
fof(f845,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(sK11(powerset(X0)))),sK5) ),
inference(resolution,[],[f783,f646]) ).
fof(f2375,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(sK11(powerset(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2088,f646]) ).
fof(f2372,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK19),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2088,f188]) ).
fof(f2371,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK19),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2088,f190]) ).
fof(f2088,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),sK19),sK5) ),
inference(resolution,[],[f1983,f147]) ).
fof(f2351,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(sK11(powerset(X0))),sK19),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2084,f646]) ).
fof(f2348,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK19),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2084,f188]) ).
fof(f2347,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK19),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2084,f190]) ).
fof(f2084,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),sK19),sK5) ),
inference(resolution,[],[f1983,f149]) ).
fof(f2327,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(sK11(powerset(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2069,f646]) ).
fof(f2324,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK18),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2069,f188]) ).
fof(f2323,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK18),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2069,f190]) ).
fof(f2069,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),sK18),sK5) ),
inference(resolution,[],[f1982,f147]) ).
fof(f2303,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(sK11(powerset(X0))),sK18),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2065,f646]) ).
fof(f2300,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK18),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2065,f188]) ).
fof(f2299,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK18),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2065,f190]) ).
fof(f2065,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),sK18),sK5) ),
inference(resolution,[],[f1982,f149]) ).
fof(f2279,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(sK11(powerset(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2050,f646]) ).
fof(f2276,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK17),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2050,f188]) ).
fof(f2275,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK17),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2050,f190]) ).
fof(f2050,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),sK17),sK5) ),
inference(resolution,[],[f1981,f147]) ).
fof(f2255,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(sK11(powerset(X0))),sK17),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2046,f646]) ).
fof(f2252,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK17),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2046,f188]) ).
fof(f2251,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK17),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2046,f190]) ).
fof(f2046,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),sK17),sK5) ),
inference(resolution,[],[f1981,f149]) ).
fof(f221,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,[],[f165]) ).
fof(f165,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,[],[f106]) ).
fof(f106,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,[],[f105]) ).
fof(f105,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,[],[f104]) ).
fof(f104,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,[],[f87]) ).
fof(f2228,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(sK11(powerset(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2029,f646]) ).
fof(f2225,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK15),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2029,f188]) ).
fof(f2224,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK15),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2029,f190]) ).
fof(f2029,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),sK15),sK5) ),
inference(resolution,[],[f1979,f147]) ).
fof(f2204,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(sK11(powerset(X0))),sK15),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2025,f646]) ).
fof(f2201,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK15),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2025,f188]) ).
fof(f2200,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK15),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2025,f190]) ).
fof(f2025,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),sK15),sK5) ),
inference(resolution,[],[f1979,f149]) ).
fof(f2180,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(sK11(powerset(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2010,f646]) ).
fof(f2177,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK5),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2010,f188]) ).
fof(f2176,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),sK5),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2010,f190]) ).
fof(f2010,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),sK5),sK5) ),
inference(resolution,[],[f1978,f147]) ).
fof(f2156,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(sK11(powerset(X0))),sK5),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f2006,f646]) ).
fof(f2153,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK5),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f2006,f188]) ).
fof(f2152,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),sK5),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f2006,f190]) ).
fof(f2006,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),sK5),sK5) ),
inference(resolution,[],[f1978,f149]) ).
fof(f2132,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_rng(sK11(powerset(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1991,f646]) ).
fof(f2129,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),empty_set),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1991,f188]) ).
fof(f2128,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_rng(relation_composition(X0,X1)),empty_set),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1991,f190]) ).
fof(f1991,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_rng(X0),empty_set),sK5) ),
inference(resolution,[],[f1976,f147]) ).
fof(f2108,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(relation_dom(sK11(powerset(X0))),empty_set),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1987,f646]) ).
fof(f2105,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),empty_set),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1987,f188]) ).
fof(f2104,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_dom(relation_composition(X0,X1)),empty_set),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1987,f190]) ).
fof(f1987,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(relation_dom(X0),empty_set),sK5) ),
inference(resolution,[],[f1976,f149]) ).
fof(f2086,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK19),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1983,f188]) ).
fof(f2085,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK19),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1983,f190]) ).
fof(f1983,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK19),sK5) ),
inference(resolution,[],[f780,f211]) ).
fof(f2067,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK18),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1982,f188]) ).
fof(f2066,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK18),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1982,f190]) ).
fof(f1982,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK18),sK5) ),
inference(resolution,[],[f780,f209]) ).
fof(f2048,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK17),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1981,f188]) ).
fof(f2047,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK17),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1981,f190]) ).
fof(f1981,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK17),sK5) ),
inference(resolution,[],[f780,f208]) ).
fof(f2044,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| sK11(relation_rng(X0)) = apply(relation_composition(function_inverse(X0),X0),sK11(relation_rng(X0))) ),
inference(resolution,[],[f195,f363]) ).
fof(f195,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,[],[f78]) ).
fof(f2027,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK15),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1979,f188]) ).
fof(f2026,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK15),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1979,f190]) ).
fof(f1979,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK15),sK5) ),
inference(resolution,[],[f780,f205]) ).
fof(f2008,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK5),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1978,f188]) ).
fof(f2007,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),sK5),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1978,f190]) ).
fof(f1978,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,sK5),sK5) ),
inference(resolution,[],[f780,f132]) ).
fof(f1989,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),empty_set),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1976,f188]) ).
fof(f1988,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),empty_set),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1976,f190]) ).
fof(f1976,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,empty_set),sK5) ),
inference(resolution,[],[f780,f138]) ).
fof(f1986,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,empty_set),sK5)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f1984,f228]) ).
fof(f1984,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,sK20),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f780,f214]) ).
fof(f1985,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,empty_set),sK5)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f1980,f227]) ).
fof(f1980,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(X0,sK16),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f780,f207]) ).
fof(f1977,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,relation_rng(X1)),sK5) ),
inference(resolution,[],[f780,f148]) ).
fof(f1975,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),sK5)
| ~ empty(X0)
| ~ relation(X2)
| ~ empty(X1) ),
inference(resolution,[],[f780,f189]) ).
fof(f1974,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),sK5)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X2) ),
inference(resolution,[],[f780,f191]) ).
fof(f1973,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(X0,relation_composition(X1,X2)),sK5)
| ~ empty(X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(resolution,[],[f780,f196]) ).
fof(f1972,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,function_inverse(X1)),sK5)
| ~ empty(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f780,f153]) ).
fof(f1971,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| empty_set = relation_composition(relation_composition(X0,relation_dom(X1)),sK5) ),
inference(resolution,[],[f780,f150]) ).
fof(f1970,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK5)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f780,f145]) ).
fof(f780,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(relation_composition(X0,X1),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f769,f188]) ).
fof(f1956,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1711,f646]) ).
fof(f1953,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1711,f188]) ).
fof(f1952,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1711,f190]) ).
fof(f1711,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,relation_rng(X0)),sK5) ),
inference(resolution,[],[f1596,f147]) ).
fof(f1937,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1707,f646]) ).
fof(f1934,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1707,f188]) ).
fof(f1933,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1707,f190]) ).
fof(f1707,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,relation_dom(X0)),sK5) ),
inference(resolution,[],[f1596,f149]) ).
fof(f1918,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1691,f646]) ).
fof(f1915,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1691,f188]) ).
fof(f1914,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1691,f190]) ).
fof(f1691,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,relation_rng(X0)),sK5) ),
inference(resolution,[],[f1595,f147]) ).
fof(f1899,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1687,f646]) ).
fof(f1896,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1687,f188]) ).
fof(f1895,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1687,f190]) ).
fof(f1687,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,relation_dom(X0)),sK5) ),
inference(resolution,[],[f1595,f149]) ).
fof(f1880,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1667,f646]) ).
fof(f1877,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1667,f188]) ).
fof(f1876,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1667,f190]) ).
fof(f1667,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_rng(X0)),sK5) ),
inference(resolution,[],[f1594,f147]) ).
fof(f1861,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1663,f646]) ).
fof(f1858,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1663,f188]) ).
fof(f1857,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1663,f190]) ).
fof(f1663,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,relation_dom(X0)),sK5) ),
inference(resolution,[],[f1594,f149]) ).
fof(f1842,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1647,f646]) ).
fof(f1839,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1647,f188]) ).
fof(f1838,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1647,f190]) ).
fof(f1647,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_rng(X0)),sK5) ),
inference(resolution,[],[f1592,f147]) ).
fof(f1835,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| sK11(relation_rng(X0)) = apply(X0,apply(function_inverse(X0),sK11(relation_rng(X0)))) ),
inference(resolution,[],[f194,f363]) ).
fof(f1821,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1643,f646]) ).
fof(f1818,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1643,f188]) ).
fof(f1817,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1643,f190]) ).
fof(f1643,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,relation_dom(X0)),sK5) ),
inference(resolution,[],[f1592,f149]) ).
fof(f1802,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1623,f646]) ).
fof(f1799,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1623,f188]) ).
fof(f1798,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1623,f190]) ).
fof(f1623,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_rng(X0)),sK5) ),
inference(resolution,[],[f1591,f147]) ).
fof(f1783,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1619,f646]) ).
fof(f1780,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1619,f188]) ).
fof(f1779,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1619,f190]) ).
fof(f1619,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,relation_dom(X0)),sK5) ),
inference(resolution,[],[f1591,f149]) ).
fof(f1759,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1604,f646]) ).
fof(f1756,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1604,f188]) ).
fof(f1755,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1604,f190]) ).
fof(f1604,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_rng(X0)),sK5) ),
inference(resolution,[],[f1589,f147]) ).
fof(f1735,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(sK11(powerset(X0)))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f1600,f646]) ).
fof(f1732,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1600,f188]) ).
fof(f1731,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1600,f190]) ).
fof(f1600,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,relation_dom(X0)),sK5) ),
inference(resolution,[],[f1589,f149]) ).
fof(f222,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,[],[f164]) ).
fof(f164,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,[],[f106]) ).
fof(f1710,plain,
empty_set = relation_composition(relation_composition(sK19,empty_set),sK5),
inference(resolution,[],[f1596,f136]) ).
fof(f1720,plain,
empty_set = relation_composition(relation_composition(sK19,empty_set),sK5),
inference(forward_demodulation,[],[f1716,f228]) ).
fof(f1716,plain,
empty_set = relation_composition(relation_composition(sK19,sK20),sK5),
inference(resolution,[],[f1596,f215]) ).
fof(f1719,plain,
empty_set = relation_composition(relation_composition(sK19,empty_set),sK5),
inference(forward_demodulation,[],[f1715,f227]) ).
fof(f1715,plain,
empty_set = relation_composition(relation_composition(sK19,sK16),sK5),
inference(resolution,[],[f1596,f206]) ).
fof(f1718,plain,
empty_set = relation_composition(relation_composition(sK19,empty_set),sK5),
inference(forward_demodulation,[],[f1714,f226]) ).
fof(f1714,plain,
empty_set = relation_composition(relation_composition(sK19,sK14),sK5),
inference(resolution,[],[f1596,f203]) ).
fof(f1717,plain,
empty_set = relation_composition(relation_composition(sK19,empty_set),sK5),
inference(forward_demodulation,[],[f1713,f225]) ).
fof(f1713,plain,
! [X0] : empty_set = relation_composition(relation_composition(sK19,sK12(X0)),sK5),
inference(resolution,[],[f1596,f183]) ).
fof(f1709,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1596,f188]) ).
fof(f1708,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK19,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1596,f190]) ).
fof(f1596,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK19,X0),sK5) ),
inference(resolution,[],[f779,f211]) ).
fof(f1690,plain,
empty_set = relation_composition(relation_composition(sK18,empty_set),sK5),
inference(resolution,[],[f1595,f136]) ).
fof(f1700,plain,
empty_set = relation_composition(relation_composition(sK18,empty_set),sK5),
inference(forward_demodulation,[],[f1696,f228]) ).
fof(f1696,plain,
empty_set = relation_composition(relation_composition(sK18,sK20),sK5),
inference(resolution,[],[f1595,f215]) ).
fof(f1699,plain,
empty_set = relation_composition(relation_composition(sK18,empty_set),sK5),
inference(forward_demodulation,[],[f1695,f227]) ).
fof(f1695,plain,
empty_set = relation_composition(relation_composition(sK18,sK16),sK5),
inference(resolution,[],[f1595,f206]) ).
fof(f1698,plain,
empty_set = relation_composition(relation_composition(sK18,empty_set),sK5),
inference(forward_demodulation,[],[f1694,f226]) ).
fof(f1694,plain,
empty_set = relation_composition(relation_composition(sK18,sK14),sK5),
inference(resolution,[],[f1595,f203]) ).
fof(f1697,plain,
empty_set = relation_composition(relation_composition(sK18,empty_set),sK5),
inference(forward_demodulation,[],[f1693,f225]) ).
fof(f1693,plain,
! [X0] : empty_set = relation_composition(relation_composition(sK18,sK12(X0)),sK5),
inference(resolution,[],[f1595,f183]) ).
fof(f1689,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1595,f188]) ).
fof(f1688,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK18,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1595,f190]) ).
fof(f1595,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK18,X0),sK5) ),
inference(resolution,[],[f779,f209]) ).
fof(f1685,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK11(relation_dom(X1)) = apply(X0,apply(X1,sK11(relation_dom(X1))))
| empty(relation_dom(X1)) ),
inference(resolution,[],[f218,f363]) ).
fof(f218,plain,
! [X0,X1,X5] :
( ~ in(X5,relation_dom(X1))
| apply(X0,apply(X1,X5)) = X5
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X4,X5] :
( apply(X0,X4) = X5
| apply(X1,X5) != X4
| ~ in(X5,relation_dom(X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f1666,plain,
empty_set = relation_composition(relation_composition(sK17,empty_set),sK5),
inference(resolution,[],[f1594,f136]) ).
fof(f1676,plain,
empty_set = relation_composition(relation_composition(sK17,empty_set),sK5),
inference(forward_demodulation,[],[f1672,f228]) ).
fof(f1672,plain,
empty_set = relation_composition(relation_composition(sK17,sK20),sK5),
inference(resolution,[],[f1594,f215]) ).
fof(f1675,plain,
empty_set = relation_composition(relation_composition(sK17,empty_set),sK5),
inference(forward_demodulation,[],[f1671,f227]) ).
fof(f1671,plain,
empty_set = relation_composition(relation_composition(sK17,sK16),sK5),
inference(resolution,[],[f1594,f206]) ).
fof(f1674,plain,
empty_set = relation_composition(relation_composition(sK17,empty_set),sK5),
inference(forward_demodulation,[],[f1670,f226]) ).
fof(f1670,plain,
empty_set = relation_composition(relation_composition(sK17,sK14),sK5),
inference(resolution,[],[f1594,f203]) ).
fof(f1673,plain,
empty_set = relation_composition(relation_composition(sK17,empty_set),sK5),
inference(forward_demodulation,[],[f1669,f225]) ).
fof(f1669,plain,
! [X0] : empty_set = relation_composition(relation_composition(sK17,sK12(X0)),sK5),
inference(resolution,[],[f1594,f183]) ).
fof(f1665,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1594,f188]) ).
fof(f1664,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK17,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1594,f190]) ).
fof(f1594,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK17,X0),sK5) ),
inference(resolution,[],[f779,f208]) ).
fof(f1646,plain,
empty_set = relation_composition(relation_composition(sK15,empty_set),sK5),
inference(resolution,[],[f1592,f136]) ).
fof(f1656,plain,
empty_set = relation_composition(relation_composition(sK15,empty_set),sK5),
inference(forward_demodulation,[],[f1652,f228]) ).
fof(f1652,plain,
empty_set = relation_composition(relation_composition(sK15,sK20),sK5),
inference(resolution,[],[f1592,f215]) ).
fof(f1655,plain,
empty_set = relation_composition(relation_composition(sK15,empty_set),sK5),
inference(forward_demodulation,[],[f1651,f227]) ).
fof(f1651,plain,
empty_set = relation_composition(relation_composition(sK15,sK16),sK5),
inference(resolution,[],[f1592,f206]) ).
fof(f1654,plain,
empty_set = relation_composition(relation_composition(sK15,empty_set),sK5),
inference(forward_demodulation,[],[f1650,f226]) ).
fof(f1650,plain,
empty_set = relation_composition(relation_composition(sK15,sK14),sK5),
inference(resolution,[],[f1592,f203]) ).
fof(f1653,plain,
empty_set = relation_composition(relation_composition(sK15,empty_set),sK5),
inference(forward_demodulation,[],[f1649,f225]) ).
fof(f1649,plain,
! [X0] : empty_set = relation_composition(relation_composition(sK15,sK12(X0)),sK5),
inference(resolution,[],[f1592,f183]) ).
fof(f1645,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1592,f188]) ).
fof(f1644,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK15,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1592,f190]) ).
fof(f1592,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK15,X0),sK5) ),
inference(resolution,[],[f779,f205]) ).
fof(f219,plain,
! [X0,X1,X5] :
( ~ in(X5,relation_dom(X1))
| in(apply(X1,X5),relation_rng(X1))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f159]) ).
fof(f159,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,[],[f103]) ).
fof(f1622,plain,
empty_set = relation_composition(relation_composition(sK5,empty_set),sK5),
inference(resolution,[],[f1591,f136]) ).
fof(f1632,plain,
empty_set = relation_composition(relation_composition(sK5,empty_set),sK5),
inference(forward_demodulation,[],[f1628,f228]) ).
fof(f1628,plain,
empty_set = relation_composition(relation_composition(sK5,sK20),sK5),
inference(resolution,[],[f1591,f215]) ).
fof(f1631,plain,
empty_set = relation_composition(relation_composition(sK5,empty_set),sK5),
inference(forward_demodulation,[],[f1627,f227]) ).
fof(f1627,plain,
empty_set = relation_composition(relation_composition(sK5,sK16),sK5),
inference(resolution,[],[f1591,f206]) ).
fof(f1630,plain,
empty_set = relation_composition(relation_composition(sK5,empty_set),sK5),
inference(forward_demodulation,[],[f1626,f226]) ).
fof(f1626,plain,
empty_set = relation_composition(relation_composition(sK5,sK14),sK5),
inference(resolution,[],[f1591,f203]) ).
fof(f1629,plain,
empty_set = relation_composition(relation_composition(sK5,empty_set),sK5),
inference(forward_demodulation,[],[f1625,f225]) ).
fof(f1625,plain,
! [X0] : empty_set = relation_composition(relation_composition(sK5,sK12(X0)),sK5),
inference(resolution,[],[f1591,f183]) ).
fof(f1621,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1591,f188]) ).
fof(f1620,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(sK5,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1591,f190]) ).
fof(f1591,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(sK5,X0),sK5) ),
inference(resolution,[],[f779,f132]) ).
fof(f1602,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_composition(X0,X1)),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1589,f188]) ).
fof(f1601,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(empty_set,relation_composition(X0,X1)),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1589,f190]) ).
fof(f1589,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_composition(empty_set,X0),sK5) ),
inference(resolution,[],[f779,f138]) ).
fof(f1599,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,X0),sK5)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f1597,f228]) ).
fof(f1597,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK20,X0),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f779,f214]) ).
fof(f1598,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(empty_set,X0),sK5)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f1593,f227]) ).
fof(f1593,plain,
! [X0] :
( empty_set = relation_composition(relation_composition(sK16,X0),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f779,f207]) ).
fof(f1590,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_composition(relation_rng(X0),X1),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f779,f148]) ).
fof(f1588,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),X2),sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f779,f189]) ).
fof(f1587,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),X2),sK5)
| ~ empty(X2)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f779,f191]) ).
fof(f1586,plain,
! [X2,X0,X1] :
( empty_set = relation_composition(relation_composition(relation_composition(X0,X1),X2),sK5)
| ~ empty(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[],[f779,f196]) ).
fof(f1585,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(function_inverse(X0),X1),sK5)
| ~ empty(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f779,f153]) ).
fof(f1584,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_composition(relation_composition(relation_dom(X0),X1),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f779,f150]) ).
fof(f779,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(relation_composition(X0,X1),sK5)
| ~ empty(X1) ),
inference(resolution,[],[f769,f190]) ).
fof(f1569,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(X0))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1037,f646]) ).
fof(f1568,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),sK19) ),
inference(resolution,[],[f1037,f147]) ).
fof(f1566,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK19)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1037,f188]) ).
fof(f1565,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK19)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1037,f190]) ).
fof(f1564,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),sK19) ),
inference(resolution,[],[f1037,f149]) ).
fof(f1037,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),sK19) ),
inference(resolution,[],[f774,f147]) ).
fof(f1550,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(X0))),sK19)
| ~ empty(X0) ),
inference(resolution,[],[f1033,f646]) ).
fof(f1547,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK19)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1033,f188]) ).
fof(f1546,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK19)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1033,f190]) ).
fof(f1033,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),sK19) ),
inference(resolution,[],[f774,f149]) ).
fof(f1531,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1018,f646]) ).
fof(f1528,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK18)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1018,f188]) ).
fof(f1527,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK18)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1018,f190]) ).
fof(f1018,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),sK18) ),
inference(resolution,[],[f773,f147]) ).
fof(f1512,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(X0))),sK18)
| ~ empty(X0) ),
inference(resolution,[],[f1014,f646]) ).
fof(f1509,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK18)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f1014,f188]) ).
fof(f1508,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK18)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1014,f190]) ).
fof(f1014,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),sK18) ),
inference(resolution,[],[f773,f149]) ).
fof(f1493,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f999,f646]) ).
fof(f1490,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f999,f188]) ).
fof(f1489,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f999,f190]) ).
fof(f999,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),sK17) ),
inference(resolution,[],[f772,f147]) ).
fof(f1470,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(X0))),sK17)
| ~ empty(X0) ),
inference(resolution,[],[f995,f646]) ).
fof(f1467,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f995,f188]) ).
fof(f1466,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f995,f190]) ).
fof(f995,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),sK17) ),
inference(resolution,[],[f772,f149]) ).
fof(f1451,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f980,f646]) ).
fof(f1448,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f980,f188]) ).
fof(f1447,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f980,f190]) ).
fof(f980,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),sK15) ),
inference(resolution,[],[f770,f147]) ).
fof(f1432,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(X0))),sK15)
| ~ empty(X0) ),
inference(resolution,[],[f976,f646]) ).
fof(f1429,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f976,f188]) ).
fof(f1428,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f976,f190]) ).
fof(f976,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),sK15) ),
inference(resolution,[],[f770,f149]) ).
fof(f1413,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(sK11(powerset(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f959,f646]) ).
fof(f1410,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f959,f188]) ).
fof(f1409,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f959,f190]) ).
fof(f959,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),empty_set) ),
inference(resolution,[],[f767,f147]) ).
fof(f1394,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(sK11(powerset(X0))),empty_set)
| ~ empty(X0) ),
inference(resolution,[],[f955,f646]) ).
fof(f1391,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f955,f188]) ).
fof(f1390,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f955,f190]) ).
fof(f955,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),empty_set) ),
inference(resolution,[],[f767,f149]) ).
fof(f839,plain,
! [X0,X1] :
( ~ in(X0,sK11(powerset(X1)))
| element(X0,X1) ),
inference(resolution,[],[f200,f181]) ).
fof(f1363,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f935,f646]) ).
fof(f1360,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f935,f188]) ).
fof(f1359,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f935,f190]) ).
fof(f935,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f820,f147]) ).
fof(f1334,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f931,f646]) ).
fof(f1331,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f931,f188]) ).
fof(f1330,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f931,f190]) ).
fof(f931,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f820,f149]) ).
fof(f1305,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f911,f646]) ).
fof(f1302,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f911,f188]) ).
fof(f1301,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f911,f190]) ).
fof(f911,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f816,f147]) ).
fof(f1276,plain,
! [X0] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f907,f646]) ).
fof(f1273,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f907,f188]) ).
fof(f1272,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f907,f190]) ).
fof(f907,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f816,f149]) ).
fof(f1247,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f887,f646]) ).
fof(f1244,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f887,f188]) ).
fof(f1243,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f887,f190]) ).
fof(f887,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_rng(X0))),sK5) ),
inference(resolution,[],[f801,f147]) ).
fof(f193,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,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(f1211,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f883,f646]) ).
fof(f1208,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f883,f188]) ).
fof(f1207,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f883,f190]) ).
fof(f883,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(relation_dom(X0))),sK5) ),
inference(resolution,[],[f801,f149]) ).
fof(f1182,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f863,f646]) ).
fof(f1179,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f863,f188]) ).
fof(f1178,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f863,f190]) ).
fof(f863,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_rng(X0))),sK5) ),
inference(resolution,[],[f797,f147]) ).
fof(f1153,plain,
! [X0] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(sK11(powerset(X0))))),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f859,f646]) ).
fof(f1150,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f859,f188]) ).
fof(f1149,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f859,f190]) ).
fof(f859,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(relation_dom(X0))),sK5) ),
inference(resolution,[],[f797,f149]) ).
fof(f1129,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_rng(sK11(powerset(X0))))),sK5) ),
inference(resolution,[],[f844,f646]) ).
fof(f1126,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f844,f188]) ).
fof(f1125,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_rng(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f844,f190]) ).
fof(f844,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_rng(X0))),sK5) ),
inference(resolution,[],[f783,f147]) ).
fof(f1105,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_dom(sK11(powerset(X0))))),sK5) ),
inference(resolution,[],[f840,f646]) ).
fof(f1102,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f840,f188]) ).
fof(f1101,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_dom(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f840,f190]) ).
fof(f840,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(relation_dom(X0))),sK5) ),
inference(resolution,[],[f783,f149]) ).
fof(f1081,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(powerset(sK11(powerset(X0))))),sK5) ),
inference(resolution,[],[f821,f646]) ).
fof(f1078,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f821,f188]) ).
fof(f1077,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f821,f190]) ).
fof(f821,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(sK11(powerset(X0))),sK5) ),
inference(resolution,[],[f782,f646]) ).
fof(f1057,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(powerset(sK11(powerset(X0))))),sK5) ),
inference(resolution,[],[f802,f646]) ).
fof(f1054,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f802,f188]) ).
fof(f1053,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(sK11(powerset(relation_composition(X0,X1)))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f802,f190]) ).
fof(f802,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(sK11(powerset(X0))),sK5) ),
inference(resolution,[],[f778,f646]) ).
fof(f1036,plain,
empty_set = relation_composition(empty_set,sK19),
inference(resolution,[],[f774,f136]) ).
fof(f1046,plain,
empty_set = relation_composition(empty_set,sK19),
inference(forward_demodulation,[],[f1042,f228]) ).
fof(f1042,plain,
empty_set = relation_composition(sK20,sK19),
inference(resolution,[],[f774,f215]) ).
fof(f1045,plain,
empty_set = relation_composition(empty_set,sK19),
inference(forward_demodulation,[],[f1041,f227]) ).
fof(f1041,plain,
empty_set = relation_composition(sK16,sK19),
inference(resolution,[],[f774,f206]) ).
fof(f1044,plain,
empty_set = relation_composition(empty_set,sK19),
inference(forward_demodulation,[],[f1040,f226]) ).
fof(f1040,plain,
empty_set = relation_composition(sK14,sK19),
inference(resolution,[],[f774,f203]) ).
fof(f1043,plain,
empty_set = relation_composition(empty_set,sK19),
inference(forward_demodulation,[],[f1039,f225]) ).
fof(f1039,plain,
! [X0] : empty_set = relation_composition(sK12(X0),sK19),
inference(resolution,[],[f774,f183]) ).
fof(f1035,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK19)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f774,f188]) ).
fof(f1034,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK19)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f774,f190]) ).
fof(f774,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK19) ),
inference(resolution,[],[f376,f211]) ).
fof(f1017,plain,
empty_set = relation_composition(empty_set,sK18),
inference(resolution,[],[f773,f136]) ).
fof(f1027,plain,
empty_set = relation_composition(empty_set,sK18),
inference(forward_demodulation,[],[f1023,f228]) ).
fof(f1023,plain,
empty_set = relation_composition(sK20,sK18),
inference(resolution,[],[f773,f215]) ).
fof(f1026,plain,
empty_set = relation_composition(empty_set,sK18),
inference(forward_demodulation,[],[f1022,f227]) ).
fof(f1022,plain,
empty_set = relation_composition(sK16,sK18),
inference(resolution,[],[f773,f206]) ).
fof(f1025,plain,
empty_set = relation_composition(empty_set,sK18),
inference(forward_demodulation,[],[f1021,f226]) ).
fof(f1021,plain,
empty_set = relation_composition(sK14,sK18),
inference(resolution,[],[f773,f203]) ).
fof(f1024,plain,
empty_set = relation_composition(empty_set,sK18),
inference(forward_demodulation,[],[f1020,f225]) ).
fof(f1020,plain,
! [X0] : empty_set = relation_composition(sK12(X0),sK18),
inference(resolution,[],[f773,f183]) ).
fof(f1016,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK18)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f773,f188]) ).
fof(f1015,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK18)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f773,f190]) ).
fof(f773,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK18) ),
inference(resolution,[],[f376,f209]) ).
fof(f220,plain,
! [X2,X3,X1] :
( sP0(apply(X2,X1),X1,X2,X3)
| ~ in(X1,relation_dom(X2)) ),
inference(equality_resolution,[],[f168]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1,X2,X3)
| apply(X2,X1) != X0
| ~ in(X1,relation_dom(X2)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f998,plain,
empty_set = relation_composition(empty_set,sK17),
inference(resolution,[],[f772,f136]) ).
fof(f1008,plain,
empty_set = relation_composition(empty_set,sK17),
inference(forward_demodulation,[],[f1004,f228]) ).
fof(f1004,plain,
empty_set = relation_composition(sK20,sK17),
inference(resolution,[],[f772,f215]) ).
fof(f1007,plain,
empty_set = relation_composition(empty_set,sK17),
inference(forward_demodulation,[],[f1003,f227]) ).
fof(f1003,plain,
empty_set = relation_composition(sK16,sK17),
inference(resolution,[],[f772,f206]) ).
fof(f1006,plain,
empty_set = relation_composition(empty_set,sK17),
inference(forward_demodulation,[],[f1002,f226]) ).
fof(f1002,plain,
empty_set = relation_composition(sK14,sK17),
inference(resolution,[],[f772,f203]) ).
fof(f1005,plain,
empty_set = relation_composition(empty_set,sK17),
inference(forward_demodulation,[],[f1001,f225]) ).
fof(f1001,plain,
! [X0] : empty_set = relation_composition(sK12(X0),sK17),
inference(resolution,[],[f772,f183]) ).
fof(f997,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK17)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f772,f188]) ).
fof(f996,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK17)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f772,f190]) ).
fof(f772,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK17) ),
inference(resolution,[],[f376,f208]) ).
fof(f979,plain,
empty_set = relation_composition(empty_set,sK15),
inference(resolution,[],[f770,f136]) ).
fof(f989,plain,
empty_set = relation_composition(empty_set,sK15),
inference(forward_demodulation,[],[f985,f228]) ).
fof(f985,plain,
empty_set = relation_composition(sK20,sK15),
inference(resolution,[],[f770,f215]) ).
fof(f988,plain,
empty_set = relation_composition(empty_set,sK15),
inference(forward_demodulation,[],[f984,f227]) ).
fof(f984,plain,
empty_set = relation_composition(sK16,sK15),
inference(resolution,[],[f770,f206]) ).
fof(f987,plain,
empty_set = relation_composition(empty_set,sK15),
inference(forward_demodulation,[],[f983,f226]) ).
fof(f983,plain,
empty_set = relation_composition(sK14,sK15),
inference(resolution,[],[f770,f203]) ).
fof(f986,plain,
empty_set = relation_composition(empty_set,sK15),
inference(forward_demodulation,[],[f982,f225]) ).
fof(f982,plain,
! [X0] : empty_set = relation_composition(sK12(X0),sK15),
inference(resolution,[],[f770,f183]) ).
fof(f978,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK15)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f770,f188]) ).
fof(f977,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),sK15)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f770,f190]) ).
fof(f770,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK15) ),
inference(resolution,[],[f376,f205]) ).
fof(f175,plain,
! [X0] :
( sP3(X0)
| apply(X0,sK9(X0)) = apply(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f958,plain,
empty_set = relation_composition(empty_set,empty_set),
inference(resolution,[],[f767,f136]) ).
fof(f968,plain,
empty_set = relation_composition(empty_set,empty_set),
inference(forward_demodulation,[],[f964,f228]) ).
fof(f964,plain,
empty_set = relation_composition(sK20,empty_set),
inference(resolution,[],[f767,f215]) ).
fof(f967,plain,
empty_set = relation_composition(empty_set,empty_set),
inference(forward_demodulation,[],[f963,f227]) ).
fof(f963,plain,
empty_set = relation_composition(sK16,empty_set),
inference(resolution,[],[f767,f206]) ).
fof(f966,plain,
empty_set = relation_composition(empty_set,empty_set),
inference(forward_demodulation,[],[f962,f226]) ).
fof(f962,plain,
empty_set = relation_composition(sK14,empty_set),
inference(resolution,[],[f767,f203]) ).
fof(f965,plain,
empty_set = relation_composition(empty_set,empty_set),
inference(forward_demodulation,[],[f961,f225]) ).
fof(f961,plain,
! [X0] : empty_set = relation_composition(sK12(X0),empty_set),
inference(resolution,[],[f767,f183]) ).
fof(f957,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),empty_set)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f767,f188]) ).
fof(f956,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_composition(X0,X1),empty_set)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f767,f190]) ).
fof(f767,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,empty_set) ),
inference(resolution,[],[f376,f138]) ).
fof(f933,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f820,f188]) ).
fof(f932,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f820,f190]) ).
fof(f820,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_rng(X0)),sK5) ),
inference(resolution,[],[f782,f147]) ).
fof(f909,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f816,f188]) ).
fof(f908,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_rng(relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f816,f190]) ).
fof(f816,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(relation_dom(X0)),sK5) ),
inference(resolution,[],[f782,f149]) ).
fof(f885,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f801,f188]) ).
fof(f884,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_rng(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f801,f190]) ).
fof(f801,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_rng(X0)),sK5) ),
inference(resolution,[],[f778,f147]) ).
fof(f861,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f797,f188]) ).
fof(f860,plain,
! [X0,X1] :
( empty_set = relation_composition(relation_dom(relation_dom(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f797,f190]) ).
fof(f797,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(relation_dom(X0)),sK5) ),
inference(resolution,[],[f778,f149]) ).
fof(f842,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),sK5)
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f783,f188]) ).
fof(f841,plain,
! [X0,X1] :
( empty_set = relation_composition(sK11(powerset(relation_composition(X0,X1))),sK5)
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f783,f190]) ).
fof(f783,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(sK11(powerset(X0)),sK5) ),
inference(resolution,[],[f769,f646]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f818,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f782,f188]) ).
fof(f817,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(relation_rng(relation_composition(X0,X1)),sK5)
| ~ empty(X1) ),
inference(resolution,[],[f782,f190]) ).
fof(f782,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_rng(X0),sK5) ),
inference(resolution,[],[f769,f147]) ).
fof(f799,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK5)
| ~ empty(X0) ),
inference(resolution,[],[f778,f188]) ).
fof(f798,plain,
! [X0,X1] :
( ~ relation(X0)
| empty_set = relation_composition(relation_dom(relation_composition(X0,X1)),sK5)
| ~ empty(X1) ),
inference(resolution,[],[f778,f190]) ).
fof(f778,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(relation_dom(X0),sK5) ),
inference(resolution,[],[f769,f149]) ).
fof(f781,plain,
empty_set = relation_composition(empty_set,sK5),
inference(resolution,[],[f769,f136]) ).
fof(f791,plain,
empty_set = relation_composition(empty_set,sK5),
inference(forward_demodulation,[],[f787,f228]) ).
fof(f787,plain,
empty_set = relation_composition(sK20,sK5),
inference(resolution,[],[f769,f215]) ).
fof(f790,plain,
empty_set = relation_composition(empty_set,sK5),
inference(forward_demodulation,[],[f786,f227]) ).
fof(f786,plain,
empty_set = relation_composition(sK16,sK5),
inference(resolution,[],[f769,f206]) ).
fof(f789,plain,
empty_set = relation_composition(empty_set,sK5),
inference(forward_demodulation,[],[f785,f226]) ).
fof(f785,plain,
empty_set = relation_composition(sK14,sK5),
inference(resolution,[],[f769,f203]) ).
fof(f788,plain,
empty_set = relation_composition(empty_set,sK5),
inference(forward_demodulation,[],[f784,f225]) ).
fof(f784,plain,
! [X0] : empty_set = relation_composition(sK12(X0),sK5),
inference(resolution,[],[f769,f183]) ).
fof(f769,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK5) ),
inference(resolution,[],[f376,f132]) ).
fof(f777,plain,
! [X0] :
( empty_set = relation_composition(X0,empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f775,f228]) ).
fof(f775,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK20) ),
inference(resolution,[],[f376,f214]) ).
fof(f776,plain,
! [X0] :
( empty_set = relation_composition(X0,empty_set)
| ~ empty(X0) ),
inference(forward_demodulation,[],[f771,f227]) ).
fof(f771,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_composition(X0,sK16) ),
inference(resolution,[],[f376,f207]) ).
fof(f376,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| relation_composition(X1,X0) = empty_set ),
inference(resolution,[],[f188,f146]) ).
fof(f747,plain,
! [X0] :
( empty_set = sK11(powerset(relation_rng(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f669,f646]) ).
fof(f746,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(powerset(relation_rng(relation_rng(X0)))) ),
inference(resolution,[],[f669,f147]) ).
fof(f744,plain,
! [X0,X1] :
( empty_set = sK11(powerset(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f669,f188]) ).
fof(f743,plain,
! [X0,X1] :
( empty_set = sK11(powerset(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f669,f190]) ).
fof(f742,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(powerset(relation_rng(relation_dom(X0)))) ),
inference(resolution,[],[f669,f149]) ).
fof(f669,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(powerset(relation_rng(X0))) ),
inference(resolution,[],[f647,f147]) ).
fof(f728,plain,
! [X0] :
( empty_set = sK11(powerset(relation_dom(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f665,f646]) ).
fof(f727,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(powerset(relation_dom(relation_rng(X0)))) ),
inference(resolution,[],[f665,f147]) ).
fof(f725,plain,
! [X0,X1] :
( empty_set = sK11(powerset(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f665,f188]) ).
fof(f724,plain,
! [X0,X1] :
( empty_set = sK11(powerset(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f665,f190]) ).
fof(f723,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(powerset(relation_dom(relation_dom(X0)))) ),
inference(resolution,[],[f665,f149]) ).
fof(f665,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(powerset(relation_dom(X0))) ),
inference(resolution,[],[f647,f149]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1,X2,X3)
| apply(X3,X0) = X1 ),
inference(cnf_transformation,[],[f106]) ).
fof(f709,plain,
! [X0] :
( empty_set = relation_dom(sK11(powerset(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f650,f646]) ).
fof(f706,plain,
! [X0,X1] :
( empty_set = relation_dom(sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f650,f188]) ).
fof(f705,plain,
! [X0,X1] :
( empty_set = relation_dom(sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f650,f190]) ).
fof(f650,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(sK11(powerset(X0))) ),
inference(resolution,[],[f646,f237]) ).
fof(f690,plain,
! [X0] :
( empty_set = relation_rng(sK11(powerset(sK11(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f649,f646]) ).
fof(f687,plain,
! [X0,X1] :
( empty_set = relation_rng(sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f649,f188]) ).
fof(f686,plain,
! [X0,X1] :
( empty_set = relation_rng(sK11(powerset(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f649,f190]) ).
fof(f649,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(sK11(powerset(X0))) ),
inference(resolution,[],[f646,f236]) ).
fof(f619,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ in(X1,X2)
| ~ empty(X0) ),
inference(resolution,[],[f201,f197]) ).
fof(f668,plain,
empty_set = sK11(powerset(empty_set)),
inference(resolution,[],[f647,f136]) ).
fof(f678,plain,
empty_set = sK11(powerset(empty_set)),
inference(forward_demodulation,[],[f674,f228]) ).
fof(f674,plain,
empty_set = sK11(powerset(sK20)),
inference(resolution,[],[f647,f215]) ).
fof(f677,plain,
empty_set = sK11(powerset(empty_set)),
inference(forward_demodulation,[],[f673,f227]) ).
fof(f673,plain,
empty_set = sK11(powerset(sK16)),
inference(resolution,[],[f647,f206]) ).
fof(f676,plain,
empty_set = sK11(powerset(empty_set)),
inference(forward_demodulation,[],[f672,f226]) ).
fof(f672,plain,
empty_set = sK11(powerset(sK14)),
inference(resolution,[],[f647,f203]) ).
fof(f675,plain,
empty_set = sK11(powerset(empty_set)),
inference(forward_demodulation,[],[f671,f225]) ).
fof(f671,plain,
! [X0] : empty_set = sK11(powerset(sK12(X0))),
inference(resolution,[],[f647,f183]) ).
fof(f667,plain,
! [X0,X1] :
( empty_set = sK11(powerset(relation_composition(X0,X1)))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f647,f188]) ).
fof(f666,plain,
! [X0,X1] :
( empty_set = sK11(powerset(relation_composition(X0,X1)))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f647,f190]) ).
fof(f647,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK11(powerset(X0)) ),
inference(resolution,[],[f646,f146]) ).
fof(f664,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_rng(sK11(powerset(X0))))) ),
inference(resolution,[],[f646,f345]) ).
fof(f663,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_dom(sK11(powerset(X0))))) ),
inference(resolution,[],[f646,f343]) ).
fof(f662,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_rng(sK11(powerset(X0))))) ),
inference(resolution,[],[f646,f329]) ).
fof(f661,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_dom(sK11(powerset(X0))))) ),
inference(resolution,[],[f646,f327]) ).
fof(f660,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_rng(sK11(powerset(X0))))) ),
inference(resolution,[],[f646,f313]) ).
fof(f659,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_dom(sK11(powerset(X0))))) ),
inference(resolution,[],[f646,f311]) ).
fof(f658,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_rng(sK11(powerset(X0))))) ),
inference(resolution,[],[f646,f297]) ).
fof(f657,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_dom(sK11(powerset(X0))))) ),
inference(resolution,[],[f646,f295]) ).
fof(f656,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(sK11(powerset(X0))) = X1 ),
inference(resolution,[],[f646,f284]) ).
fof(f655,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(sK11(powerset(X0))) = X1 ),
inference(resolution,[],[f646,f282]) ).
fof(f646,plain,
! [X0] :
( empty(sK11(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f623,f363]) ).
fof(f623,plain,
! [X0,X1] :
( ~ in(X1,sK11(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f201,f181]) ).
fof(f156,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ sP1(X1,X0)
| function_inverse(X0) = X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f621,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,empty_set) ),
inference(resolution,[],[f201,f238]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f618,plain,
! [X0] : ~ subset(powerset(powerset(X0)),X0),
inference(resolution,[],[f375,f184]) ).
fof(f375,plain,
! [X0,X1] :
( ~ subset(powerset(X1),X0)
| ~ subset(powerset(X0),X1) ),
inference(resolution,[],[f371,f364]) ).
fof(f597,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f345,f188]) ).
fof(f596,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f345,f190]) ).
fof(f345,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f258,f147]) ).
fof(f574,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f343,f188]) ).
fof(f573,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f343,f190]) ).
fof(f343,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f258,f149]) ).
fof(f551,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f329,f188]) ).
fof(f550,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f329,f190]) ).
fof(f329,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f256,f147]) ).
fof(f528,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f327,f188]) ).
fof(f527,plain,
! [X0,X1] :
( empty_set = relation_dom(relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f327,f190]) ).
fof(f327,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f256,f149]) ).
fof(f505,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f313,f188]) ).
fof(f504,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f313,f190]) ).
fof(f313,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_rng(X0))) ),
inference(resolution,[],[f245,f147]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1,X2,X3)
| in(X0,relation_rng(X2)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f482,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f311,f188]) ).
fof(f481,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_rng(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f311,f190]) ).
fof(f311,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(relation_dom(X0))) ),
inference(resolution,[],[f245,f149]) ).
fof(f459,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f297,f188]) ).
fof(f458,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_rng(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f297,f190]) ).
fof(f297,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_rng(X0))) ),
inference(resolution,[],[f243,f147]) ).
fof(f436,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X1)
| ~ empty(X0) ),
inference(resolution,[],[f295,f188]) ).
fof(f435,plain,
! [X0,X1] :
( empty_set = relation_rng(relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(X0)
| ~ empty(X1) ),
inference(resolution,[],[f295,f190]) ).
fof(f295,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(relation_dom(X0))) ),
inference(resolution,[],[f243,f149]) ).
fof(f284,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_rng(X1) = X0 ),
inference(resolution,[],[f198,f147]) ).
fof(f282,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| relation_dom(X1) = X0 ),
inference(resolution,[],[f198,f149]) ).
fof(f240,plain,
! [X0] :
( sP3(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ~ function(X0) ),
inference(resolution,[],[f177,f170]) ).
fof(f395,plain,
one_to_one(empty_set),
inference(subsumption_resolution,[],[f394,f232]) ).
fof(f394,plain,
( ~ function(empty_set)
| one_to_one(empty_set) ),
inference(subsumption_resolution,[],[f392,f138]) ).
fof(f392,plain,
( ~ relation(empty_set)
| ~ function(empty_set)
| one_to_one(empty_set) ),
inference(resolution,[],[f239,f278]) ).
fof(f196,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f191,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( relation(relation_composition(X1,X0))
& empty(relation_composition(X1,X0)) )
| ~ relation(X1)
| ~ empty(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( relation(relation_composition(X1,X0))
& empty(relation_composition(X1,X0)) )
| ~ relation(X1)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,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(f391,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_rng(relation_composition(X0,X1))) ),
inference(resolution,[],[f190,f258]) ).
fof(f390,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_dom(relation_composition(X0,X1))) ),
inference(resolution,[],[f190,f256]) ).
fof(f389,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_rng(relation_composition(X0,X1))) ),
inference(resolution,[],[f190,f245]) ).
fof(f388,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_dom(relation_composition(X0,X1))) ),
inference(resolution,[],[f190,f243]) ).
fof(f190,plain,
! [X0,X1] :
( empty(relation_composition(X1,X0))
| ~ relation(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f189,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& empty(relation_composition(X0,X1)) )
| ~ relation(X1)
| ~ empty(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& empty(relation_composition(X0,X1)) )
| ~ relation(X1)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,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(f383,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_rng(relation_composition(X1,X0))) ),
inference(resolution,[],[f188,f258]) ).
fof(f382,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_dom(relation_dom(relation_composition(X1,X0))) ),
inference(resolution,[],[f188,f256]) ).
fof(f381,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_rng(relation_composition(X1,X0))) ),
inference(resolution,[],[f188,f245]) ).
fof(f380,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| empty_set = relation_rng(relation_dom(relation_composition(X1,X0))) ),
inference(resolution,[],[f188,f243]) ).
fof(f188,plain,
! [X0,X1] :
( empty(relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f373,plain,
! [X0] :
( ~ in(powerset(X0),sK6(X0))
| empty(X0) ),
inference(resolution,[],[f366,f185]) ).
fof(f371,plain,
! [X0,X1] :
( ~ in(powerset(X1),X0)
| ~ subset(X0,X1) ),
inference(resolution,[],[f364,f185]) ).
fof(f366,plain,
! [X0] :
( in(sK6(X0),powerset(X0))
| empty(X0) ),
inference(subsumption_resolution,[],[f362,f141]) ).
fof(f362,plain,
! [X0] :
( empty(powerset(X0))
| in(sK6(X0),powerset(X0))
| empty(X0) ),
inference(resolution,[],[f187,f142]) ).
fof(f364,plain,
! [X0,X1] :
( in(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(subsumption_resolution,[],[f360,f141]) ).
fof(f360,plain,
! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(resolution,[],[f187,f197]) ).
fof(f369,plain,
! [X0] :
( ~ in(X0,sK11(X0))
| empty(X0) ),
inference(resolution,[],[f363,f185]) ).
fof(f363,plain,
! [X0] :
( in(sK11(X0),X0)
| empty(X0) ),
inference(resolution,[],[f187,f181]) ).
fof(f367,plain,
! [X0] : ~ in(powerset(X0),empty_set),
inference(resolution,[],[f365,f185]) ).
fof(f365,plain,
! [X0] : in(empty_set,powerset(X0)),
inference(subsumption_resolution,[],[f361,f141]) ).
fof(f361,plain,
! [X0] :
( empty(powerset(X0))
| in(empty_set,powerset(X0)) ),
inference(resolution,[],[f187,f238]) ).
fof(f187,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f158,plain,
! [X0,X1,X4,X5] :
( sP0(X4,X5,X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f258,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_rng(X0)) ),
inference(resolution,[],[f237,f147]) ).
fof(f256,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(X0)) ),
inference(resolution,[],[f237,f149]) ).
fof(f245,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_rng(X0)) ),
inference(resolution,[],[f236,f147]) ).
fof(f243,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(relation_dom(X0)) ),
inference(resolution,[],[f236,f149]) ).
fof(f279,plain,
! [X0] :
( ~ in(relation_dom(X0),sK10(X0))
| sP3(X0) ),
inference(resolution,[],[f174,f185]) ).
fof(f273,plain,
! [X0] :
( ~ in(relation_dom(X0),sK9(X0))
| sP3(X0) ),
inference(resolution,[],[f173,f185]) ).
fof(f198,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f197,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f174,plain,
! [X0] :
( in(sK10(X0),relation_dom(X0))
| sP3(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f276,plain,
! [X0] :
( sP3(X0)
| ~ empty(X0) ),
inference(resolution,[],[f274,f149]) ).
fof(f278,plain,
sP3(empty_set),
inference(subsumption_resolution,[],[f277,f136]) ).
fof(f277,plain,
( ~ empty(empty_set)
| sP3(empty_set) ),
inference(superposition,[],[f274,f257]) ).
fof(f274,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| sP3(X0) ),
inference(resolution,[],[f173,f199]) ).
fof(f275,plain,
( in(sK9(empty_set),empty_set)
| sP3(empty_set) ),
inference(superposition,[],[f173,f257]) ).
fof(f152,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f151,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f142,plain,
! [X0] :
( element(sK6(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( ~ empty(sK6(X0))
& element(sK6(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f49,f96]) ).
fof(f96,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK6(X0))
& element(sK6(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f257,plain,
empty_set = relation_dom(empty_set),
inference(resolution,[],[f237,f136]) ).
fof(f266,plain,
empty_set = relation_dom(empty_set),
inference(forward_demodulation,[],[f262,f228]) ).
fof(f262,plain,
empty_set = relation_dom(sK20),
inference(resolution,[],[f237,f215]) ).
fof(f265,plain,
empty_set = relation_dom(empty_set),
inference(forward_demodulation,[],[f261,f227]) ).
fof(f261,plain,
empty_set = relation_dom(sK16),
inference(resolution,[],[f237,f206]) ).
fof(f264,plain,
empty_set = relation_dom(empty_set),
inference(forward_demodulation,[],[f260,f226]) ).
fof(f260,plain,
empty_set = relation_dom(sK14),
inference(resolution,[],[f237,f203]) ).
fof(f263,plain,
empty_set = relation_dom(empty_set),
inference(forward_demodulation,[],[f259,f225]) ).
fof(f259,plain,
! [X0] : empty_set = relation_dom(sK12(X0)),
inference(resolution,[],[f237,f183]) ).
fof(f237,plain,
! [X0] :
( ~ empty(X0)
| relation_dom(X0) = empty_set ),
inference(resolution,[],[f149,f146]) ).
fof(f244,plain,
empty_set = relation_rng(empty_set),
inference(resolution,[],[f236,f136]) ).
fof(f253,plain,
empty_set = relation_rng(empty_set),
inference(forward_demodulation,[],[f249,f228]) ).
fof(f249,plain,
empty_set = relation_rng(sK20),
inference(resolution,[],[f236,f215]) ).
fof(f252,plain,
empty_set = relation_rng(empty_set),
inference(forward_demodulation,[],[f248,f227]) ).
fof(f248,plain,
empty_set = relation_rng(sK16),
inference(resolution,[],[f236,f206]) ).
fof(f251,plain,
empty_set = relation_rng(empty_set),
inference(forward_demodulation,[],[f247,f226]) ).
fof(f247,plain,
empty_set = relation_rng(sK14),
inference(resolution,[],[f236,f203]) ).
fof(f250,plain,
empty_set = relation_rng(empty_set),
inference(forward_demodulation,[],[f246,f225]) ).
fof(f246,plain,
! [X0] : empty_set = relation_rng(sK12(X0)),
inference(resolution,[],[f236,f183]) ).
fof(f236,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(X0) ),
inference(resolution,[],[f147,f146]) ).
fof(f242,plain,
~ empty(function_inverse(sK5)),
inference(resolution,[],[f241,f135]) ).
fof(f241,plain,
! [X0] :
( one_to_one(X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f223,f145]) ).
fof(f186,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f185,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,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(f170,plain,
! [X0] :
( ~ sP4(X0)
| ~ one_to_one(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f199,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f238,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(forward_demodulation,[],[f182,f225]) ).
fof(f150,plain,
! [X0] :
( relation(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( relation(relation_dom(X0))
& empty(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f149,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f148,plain,
! [X0] :
( relation(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( relation(relation_rng(X0))
& empty(relation_rng(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_rng(X0))
& empty(relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(f147,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f225,plain,
! [X0] : empty_set = sK12(X0),
inference(resolution,[],[f146,f183]) ).
fof(f232,plain,
function(empty_set),
inference(superposition,[],[f216,f228]) ).
fof(f228,plain,
empty_set = sK20,
inference(resolution,[],[f146,f215]) ).
fof(f227,plain,
empty_set = sK16,
inference(resolution,[],[f146,f206]) ).
fof(f226,plain,
empty_set = sK14,
inference(resolution,[],[f146,f203]) ).
fof(f146,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f143,plain,
! [X0] :
( ~ empty(sK6(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f181,plain,
! [X0] : element(sK11(X0),X0),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] : element(sK11(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f8,f112]) ).
fof(f112,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK11(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f8,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f145,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,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(f144,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,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(f184,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f183,plain,
! [X0] : empty(sK12(X0)),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( empty(sK12(X0))
& element(sK12(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f26,f114]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK12(X0))
& element(sK12(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f141,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f216,plain,
function(sK20),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( function(sK20)
& empty(sK20)
& relation(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f24,f130]) ).
fof(f130,plain,
( ? [X0] :
( function(X0)
& empty(X0)
& relation(X0) )
=> ( function(sK20)
& empty(sK20)
& relation(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] :
( function(X0)
& empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f215,plain,
empty(sK20),
inference(cnf_transformation,[],[f131]) ).
fof(f214,plain,
relation(sK20),
inference(cnf_transformation,[],[f131]) ).
fof(f213,plain,
one_to_one(sK19),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( one_to_one(sK19)
& function(sK19)
& relation(sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f28,f128]) ).
fof(f128,plain,
( ? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( one_to_one(sK19)
& function(sK19)
& relation(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f212,plain,
function(sK19),
inference(cnf_transformation,[],[f129]) ).
fof(f211,plain,
relation(sK19),
inference(cnf_transformation,[],[f129]) ).
fof(f210,plain,
function(sK18),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( function(sK18)
& relation(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f20,f126]) ).
fof(f126,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK18)
& relation(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f20,axiom,
? [X0] :
( function(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f209,plain,
relation(sK18),
inference(cnf_transformation,[],[f127]) ).
fof(f208,plain,
relation(sK17),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
relation(sK17),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f46,f124]) ).
fof(f124,plain,
( ? [X0] : relation(X0)
=> relation(sK17) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0] : relation(X0),
inference(pure_predicate_removal,[],[f29]) ).
fof(f29,axiom,
? [X0] :
( relation_empty_yielding(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(f207,plain,
relation(sK16),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( relation(sK16)
& empty(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f21,f122]) ).
fof(f122,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK16)
& empty(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f21,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f206,plain,
empty(sK16),
inference(cnf_transformation,[],[f123]) ).
fof(f205,plain,
relation(sK15),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( relation(sK15)
& ~ empty(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f25,f120]) ).
fof(f120,plain,
( ? [X0] :
( relation(X0)
& ~ empty(X0) )
=> ( relation(sK15)
& ~ empty(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f204,plain,
~ empty(sK15),
inference(cnf_transformation,[],[f121]) ).
fof(f203,plain,
empty(sK14),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
empty(sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f23,f118]) ).
fof(f118,plain,
( ? [X0] : empty(X0)
=> empty(sK14) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f202,plain,
~ empty(sK13),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
~ empty(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f27,f116]) ).
fof(f116,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK13) ),
introduced(choice_axiom,[]) ).
fof(f27,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f138,plain,
relation(empty_set),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f136,plain,
empty(empty_set),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f192,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f182,plain,
! [X0] : element(sK12(X0),powerset(X0)),
inference(cnf_transformation,[],[f115]) ).
fof(f223,plain,
! [X0] :
( one_to_one(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(global_subsumption,[],[f135,f134,f133,f132,f136,f138,f137,f140,f139,f141,f143,f142,f144,f145,f146,f148,f147,f150,f149,f151,f152,f154,f153,f156,f217,f163,f162,f161,f218,f219,f158,f157,f220,f167,f166,f221,f222,f169,f171,f170,f176,f175,f174,f173,f172,f177,f180]) ).
fof(f180,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( one_to_one(X0)
& function(X0)
& relation(X0) )
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,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(f139,plain,
empty(empty_set),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(pure_predicate_removal,[],[f10]) ).
fof(f10,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f140,plain,
relation(empty_set),
inference(cnf_transformation,[],[f45]) ).
fof(f137,plain,
empty(empty_set),
inference(cnf_transformation,[],[f14]) ).
fof(f15734,plain,
( sK10(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK10(function_inverse(sK5))))
| spl21_3 ),
inference(subsumption_resolution,[],[f15733,f132]) ).
fof(f15733,plain,
( sK10(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK10(function_inverse(sK5))))
| ~ relation(sK5)
| spl21_3 ),
inference(subsumption_resolution,[],[f15732,f133]) ).
fof(f15732,plain,
( sK10(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK10(function_inverse(sK5))))
| ~ function(sK5)
| ~ relation(sK5)
| spl21_3 ),
inference(subsumption_resolution,[],[f15726,f134]) ).
fof(f15726,plain,
( sK10(function_inverse(sK5)) = apply(sK5,apply(function_inverse(sK5),sK10(function_inverse(sK5))))
| ~ one_to_one(sK5)
| ~ function(sK5)
| ~ relation(sK5)
| spl21_3 ),
inference(resolution,[],[f15707,f194]) ).
fof(f176,plain,
! [X0] :
( sK9(X0) != sK10(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f25417,plain,
~ spl21_20,
inference(avatar_contradiction_clause,[],[f25416]) ).
fof(f25416,plain,
( $false
| ~ spl21_20 ),
inference(subsumption_resolution,[],[f24592,f141]) ).
fof(f24592,plain,
( empty(powerset(empty_set))
| ~ spl21_20 ),
inference(resolution,[],[f24586,f143]) ).
fof(f24586,plain,
( empty(sK6(powerset(empty_set)))
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f24584]) ).
fof(f24584,plain,
( spl21_20
<=> empty(sK6(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_20])]) ).
fof(f24591,plain,
( spl21_20
| spl21_21 ),
inference(avatar_split_clause,[],[f4997,f24588,f24584]) ).
fof(f24588,plain,
( spl21_21
<=> in(empty_set,sK6(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_21])]) ).
fof(f23901,plain,
( ~ spl21_18
| spl21_19
| ~ spl21_14 ),
inference(avatar_split_clause,[],[f23882,f21034,f23899,f23895]) ).
fof(f23895,plain,
( spl21_18
<=> empty(relation_dom(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).
fof(f23899,plain,
( spl21_19
<=> ! [X0] : ~ sP1(X0,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_19])]) ).
fof(f21034,plain,
( spl21_14
<=> in(sK9(function_inverse(sK19)),relation_rng(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).
fof(f23882,plain,
( ! [X0] :
( ~ sP1(X0,sK19)
| ~ empty(relation_dom(sK19)) )
| ~ spl21_14 ),
inference(resolution,[],[f21036,f5257]) ).
fof(f21036,plain,
( in(sK9(function_inverse(sK19)),relation_rng(sK19))
| ~ spl21_14 ),
inference(avatar_component_clause,[],[f21034]) ).
fof(f23837,plain,
spl21_17,
inference(avatar_contradiction_clause,[],[f23836]) ).
fof(f23836,plain,
( $false
| spl21_17 ),
inference(subsumption_resolution,[],[f23835,f211]) ).
fof(f23835,plain,
( ~ relation(sK19)
| spl21_17 ),
inference(subsumption_resolution,[],[f23833,f212]) ).
fof(f23833,plain,
( ~ function(sK19)
| ~ relation(sK19)
| spl21_17 ),
inference(resolution,[],[f23822,f153]) ).
fof(f23822,plain,
( ~ relation(function_inverse(sK19))
| spl21_17 ),
inference(avatar_component_clause,[],[f23820]) ).
fof(f23820,plain,
( spl21_17
<=> relation(function_inverse(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).
fof(f23831,plain,
spl21_16,
inference(avatar_contradiction_clause,[],[f23830]) ).
fof(f23830,plain,
( $false
| spl21_16 ),
inference(subsumption_resolution,[],[f23829,f211]) ).
fof(f23829,plain,
( ~ relation(sK19)
| spl21_16 ),
inference(subsumption_resolution,[],[f23827,f212]) ).
fof(f23827,plain,
( ~ function(sK19)
| ~ relation(sK19)
| spl21_16 ),
inference(resolution,[],[f23818,f154]) ).
fof(f23818,plain,
( ~ function(function_inverse(sK19))
| spl21_16 ),
inference(avatar_component_clause,[],[f23816]) ).
fof(f23816,plain,
( spl21_16
<=> function(function_inverse(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
fof(f23823,plain,
( spl21_15
| ~ spl21_16
| ~ spl21_17
| ~ spl21_13 ),
inference(avatar_split_clause,[],[f21038,f21030,f23820,f23816,f23812]) ).
fof(f23812,plain,
( spl21_15
<=> one_to_one(function_inverse(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).
fof(f21030,plain,
( spl21_13
<=> sP3(function_inverse(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).
fof(f21038,plain,
( ~ relation(function_inverse(sK19))
| ~ function(function_inverse(sK19))
| one_to_one(function_inverse(sK19))
| ~ spl21_13 ),
inference(resolution,[],[f21032,f239]) ).
fof(f21032,plain,
( sP3(function_inverse(sK19))
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f21030]) ).
fof(f21037,plain,
( spl21_13
| spl21_14 ),
inference(avatar_split_clause,[],[f15639,f21034,f21030]) ).
fof(f15999,plain,
( spl21_11
| ~ spl21_12
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f15650,f625,f15996,f15992]) ).
fof(f15992,plain,
( spl21_11
<=> sP1(function_inverse(sK19),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f15996,plain,
( spl21_12
<=> empty_set = relation_rng(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f625,plain,
( spl21_1
<=> ! [X1] : ~ in(X1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f15650,plain,
( empty_set != relation_rng(sK19)
| sP1(function_inverse(sK19),empty_set)
| ~ spl21_1 ),
inference(superposition,[],[f6579,f15606]) ).
fof(f6579,plain,
( ! [X0] :
( relation_dom(X0) != empty_set
| sP1(X0,empty_set) )
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f6578,f626]) ).
fof(f626,plain,
( ! [X1] : ~ in(X1,empty_set)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f6578,plain,
( ! [X0] :
( in(sK7(X0,empty_set),empty_set)
| relation_dom(X0) != empty_set
| sP1(X0,empty_set) )
| ~ spl21_1 ),
inference(forward_demodulation,[],[f6577,f244]) ).
fof(f6577,plain,
( ! [X0] :
( relation_dom(X0) != empty_set
| sP1(X0,empty_set)
| in(sK7(X0,empty_set),relation_rng(empty_set)) )
| ~ spl21_1 ),
inference(forward_demodulation,[],[f6576,f244]) ).
fof(f6576,plain,
( ! [X0] :
( sP1(X0,empty_set)
| relation_dom(X0) != relation_rng(empty_set)
| in(sK7(X0,empty_set),relation_rng(empty_set)) )
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f6575,f626]) ).
fof(f6575,plain,
! [X0] :
( in(sK8(X0,empty_set),empty_set)
| sP1(X0,empty_set)
| relation_dom(X0) != relation_rng(empty_set)
| in(sK7(X0,empty_set),relation_rng(empty_set)) ),
inference(superposition,[],[f2807,f257]) ).
fof(f15705,plain,
( ~ spl21_9
| spl21_10
| spl21_3 ),
inference(avatar_split_clause,[],[f15686,f15624,f15703,f15699]) ).
fof(f15699,plain,
( spl21_9
<=> empty(relation_dom(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
fof(f15703,plain,
( spl21_10
<=> ! [X0] : ~ sP1(X0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f15684,plain,
( spl21_7
| ~ spl21_8
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f15621,f625,f15681,f15677]) ).
fof(f15677,plain,
( spl21_7
<=> sP1(function_inverse(sK5),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
fof(f15681,plain,
( spl21_8
<=> empty_set = relation_rng(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f15621,plain,
( empty_set != relation_rng(sK5)
| sP1(function_inverse(sK5),empty_set)
| ~ spl21_1 ),
inference(superposition,[],[f6579,f15604]) ).
fof(f15659,plain,
( ~ spl21_5
| spl21_6 ),
inference(avatar_split_clause,[],[f15636,f15656,f15652]) ).
fof(f15652,plain,
( spl21_5
<=> empty(function_inverse(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f15656,plain,
( spl21_6
<=> empty(relation_rng(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f15631,plain,
( spl21_3
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f15615,f15628,f15624]) ).
fof(f15628,plain,
( spl21_4
<=> empty(relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f644,plain,
~ spl21_2,
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f634,plain,
( $false
| ~ spl21_2 ),
inference(resolution,[],[f629,f136]) ).
fof(f629,plain,
( ! [X0] : ~ empty(X0)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f628,plain,
( spl21_2
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f643,plain,
~ spl21_2,
inference(avatar_contradiction_clause,[],[f636]) ).
fof(f636,plain,
( $false
| ~ spl21_2 ),
inference(resolution,[],[f629,f183]) ).
fof(f642,plain,
~ spl21_2,
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f637,plain,
( $false
| ~ spl21_2 ),
inference(resolution,[],[f629,f203]) ).
fof(f641,plain,
~ spl21_2,
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f638,plain,
( $false
| ~ spl21_2 ),
inference(resolution,[],[f629,f206]) ).
fof(f640,plain,
~ spl21_2,
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f639,plain,
( $false
| ~ spl21_2 ),
inference(resolution,[],[f629,f215]) ).
fof(f630,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f621,f628,f625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU221+3 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 18:10:08 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (8289)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (8292)WARNING: value z3 for option sas not known
% 0.11/0.35 % (8293)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (8291)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (8296)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)
% 0.11/0.35 % (8295)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)
% 0.11/0.35 % (8294)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)
% 0.11/0.35 % (8292)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)
% 0.11/0.35 % (8290)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.37 TRYING [1]
% 0.11/0.37 TRYING [4]
% 0.11/0.38 TRYING [2]
% 0.11/0.41 TRYING [5]
% 0.17/0.43 TRYING [3]
% 0.17/0.49 TRYING [4]
% 0.17/0.49 TRYING [6]
% 2.10/0.62 TRYING [7]
% 2.20/0.65 TRYING [5]
% 3.92/0.90 TRYING [8]
% 4.31/0.98 TRYING [6]
% 7.58/1.45 TRYING [1]
% 7.58/1.45 TRYING [2]
% 7.58/1.45 TRYING [3]
% 8.00/1.47 TRYING [4]
% 8.00/1.50 TRYING [5]
% 8.70/1.57 TRYING [6]
% 9.20/1.71 TRYING [7]
% 12.04/2.08 TRYING [8]
% 15.23/2.55 TRYING [7]
% 22.26/3.54 % (8292)First to succeed.
% 22.95/3.60 % (8292)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8289"
% 22.95/3.60 % (8292)Refutation found. Thanks to Tanya!
% 22.95/3.60 % SZS status Theorem for theBenchmark
% 22.95/3.60 % SZS output start Proof for theBenchmark
% See solution above
% 22.95/3.64 % (8292)------------------------------
% 22.95/3.64 % (8292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 22.95/3.64 % (8292)Termination reason: Refutation
% 22.95/3.64
% 22.95/3.64 % (8292)Memory used [KB]: 11476
% 22.95/3.64 % (8292)Time elapsed: 3.252 s
% 22.95/3.64 % (8292)Instructions burned: 10840 (million)
% 22.95/3.64 % (8289)Success in time 3.307 s
%------------------------------------------------------------------------------