TSTP Solution File: SEU266+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU266+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : 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 : Sun May 5 09:30:32 EDT 2024
% Result : Theorem 0.15s 0.42s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 86
% Syntax : Number of formulae : 1105 ( 94 unt; 0 def)
% Number of atoms : 3386 ( 646 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 3906 (1625 ~;2148 |; 48 &)
% ( 55 <=>; 28 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 55 ( 53 usr; 47 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-3 aty)
% Number of variables : 1697 (1643 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2093,plain,
$false,
inference(avatar_sat_refutation,[],[f139,f188,f300,f311,f324,f363,f370,f409,f419,f434,f573,f582,f629,f700,f720,f747,f772,f774,f778,f780,f782,f784,f787,f789,f792,f795,f797,f802,f813,f814,f859,f887,f908,f954,f974,f978,f1049,f1054,f1068,f1079,f1160,f1234,f1496,f1498,f1500,f1503,f1506,f1508,f1510,f1512,f1514,f1516,f1518,f1520,f1554,f1555,f1664,f1673,f1749,f1825,f1931,f1946,f1950,f1952,f1954,f1958,f1960,f1962,f1965,f1967,f1969,f1971,f1973,f1975,f1977,f1979,f2065,f2085,f2090,f2092]) ).
fof(f2092,plain,
( ~ spl14_5
| spl14_16 ),
inference(avatar_contradiction_clause,[],[f2091]) ).
fof(f2091,plain,
( $false
| ~ spl14_5
| spl14_16 ),
inference(subsumption_resolution,[],[f2078,f428]) ).
fof(f428,plain,
( ~ empty(sK8(powerset(relation_rng(sK2))))
| spl14_16 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl14_16
<=> empty(sK8(powerset(relation_rng(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f2078,plain,
( empty(sK8(powerset(relation_rng(sK2))))
| ~ spl14_5 ),
inference(resolution,[],[f295,f251]) ).
fof(f251,plain,
! [X0] :
( in(sK8(sK8(powerset(X0))),X0)
| empty(sK8(powerset(X0))) ),
inference(subsumption_resolution,[],[f246,f159]) ).
fof(f159,plain,
! [X0] :
( empty(sK8(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f156,f143]) ).
fof(f143,plain,
! [X0] :
( in(sK8(X0),X0)
| empty(X0) ),
inference(resolution,[],[f106,f99]) ).
fof(f99,plain,
! [X0] : element(sK8(X0),X0),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] : element(sK8(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f19,f75]) ).
fof(f75,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK8(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f19,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f106,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f47]) ).
fof(f47,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(f156,plain,
! [X0,X1] :
( ~ in(X1,sK8(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f123,f99]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f246,plain,
! [X0] :
( empty(sK8(powerset(X0)))
| empty(X0)
| in(sK8(sK8(powerset(X0))),X0) ),
inference(resolution,[],[f219,f106]) ).
fof(f219,plain,
! [X0] :
( element(sK8(sK8(powerset(X0))),X0)
| empty(sK8(powerset(X0))) ),
inference(resolution,[],[f214,f143]) ).
fof(f214,plain,
! [X0,X1] :
( ~ in(X0,sK8(powerset(X1)))
| element(X0,X1) ),
inference(resolution,[],[f120,f99]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f295,plain,
( ! [X0] : ~ in(X0,relation_rng(sK2))
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl14_5
<=> ! [X0] : ~ in(X0,relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f2090,plain,
( ~ spl14_5
| spl14_9 ),
inference(avatar_contradiction_clause,[],[f2089]) ).
fof(f2089,plain,
( $false
| ~ spl14_5
| spl14_9 ),
inference(subsumption_resolution,[],[f2077,f318]) ).
fof(f318,plain,
( ~ empty(relation_rng(sK2))
| spl14_9 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl14_9
<=> empty(relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f2077,plain,
( empty(relation_rng(sK2))
| ~ spl14_5 ),
inference(resolution,[],[f295,f143]) ).
fof(f2085,plain,
( spl14_2
| ~ spl14_5
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f2076]) ).
fof(f2076,plain,
( $false
| spl14_2
| ~ spl14_5
| spl14_45 ),
inference(resolution,[],[f295,f1669]) ).
fof(f1669,plain,
( in(sK5(sK2,sK1),relation_rng(sK2))
| spl14_2
| spl14_45 ),
inference(subsumption_resolution,[],[f1668,f283]) ).
fof(f283,plain,
( sK1 != relation_rng(sK2)
| spl14_2 ),
inference(superposition,[],[f138,f281]) ).
fof(f281,plain,
relation_rng_as_subset(sK0,sK1,sK2) = relation_rng(sK2),
inference(resolution,[],[f116,f151]) ).
fof(f151,plain,
relation_of2(sK2,sK0,sK1),
inference(resolution,[],[f121,f89]) ).
fof(f89,plain,
relation_of2_as_subset(sK2,sK0,sK1),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( sK1 != relation_rng_as_subset(sK0,sK1,sK2)
| ( ! [X4] : ~ in(ordered_pair(X4,sK3),sK2)
& in(sK3,sK1) ) )
& ( sK1 = relation_rng_as_subset(sK0,sK1,sK2)
| ! [X5] :
( in(ordered_pair(sK4(X5),X5),sK2)
| ~ in(X5,sK1) ) )
& relation_of2_as_subset(sK2,sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f64,f67,f66,f65]) ).
fof(f65,plain,
( ? [X0,X1,X2] :
( ( relation_rng_as_subset(X0,X1,X2) != X1
| ? [X3] :
( ! [X4] : ~ in(ordered_pair(X4,X3),X2)
& in(X3,X1) ) )
& ( relation_rng_as_subset(X0,X1,X2) = X1
| ! [X5] :
( ? [X6] : in(ordered_pair(X6,X5),X2)
| ~ in(X5,X1) ) )
& relation_of2_as_subset(X2,X0,X1) )
=> ( ( sK1 != relation_rng_as_subset(sK0,sK1,sK2)
| ? [X3] :
( ! [X4] : ~ in(ordered_pair(X4,X3),sK2)
& in(X3,sK1) ) )
& ( sK1 = relation_rng_as_subset(sK0,sK1,sK2)
| ! [X5] :
( ? [X6] : in(ordered_pair(X6,X5),sK2)
| ~ in(X5,sK1) ) )
& relation_of2_as_subset(sK2,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ? [X3] :
( ! [X4] : ~ in(ordered_pair(X4,X3),sK2)
& in(X3,sK1) )
=> ( ! [X4] : ~ in(ordered_pair(X4,sK3),sK2)
& in(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X5] :
( ? [X6] : in(ordered_pair(X6,X5),sK2)
=> in(ordered_pair(sK4(X5),X5),sK2) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
? [X0,X1,X2] :
( ( relation_rng_as_subset(X0,X1,X2) != X1
| ? [X3] :
( ! [X4] : ~ in(ordered_pair(X4,X3),X2)
& in(X3,X1) ) )
& ( relation_rng_as_subset(X0,X1,X2) = X1
| ! [X5] :
( ? [X6] : in(ordered_pair(X6,X5),X2)
| ~ in(X5,X1) ) )
& relation_of2_as_subset(X2,X0,X1) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
? [X0,X1,X2] :
( ( relation_rng_as_subset(X0,X1,X2) != X1
| ? [X3] :
( ! [X4] : ~ in(ordered_pair(X4,X3),X2)
& in(X3,X1) ) )
& ( relation_rng_as_subset(X0,X1,X2) = X1
| ! [X3] :
( ? [X4] : in(ordered_pair(X4,X3),X2)
| ~ in(X3,X1) ) )
& relation_of2_as_subset(X2,X0,X1) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X0,X1,X2] :
( ( relation_rng_as_subset(X0,X1,X2) != X1
| ? [X3] :
( ! [X4] : ~ in(ordered_pair(X4,X3),X2)
& in(X3,X1) ) )
& ( relation_rng_as_subset(X0,X1,X2) = X1
| ! [X3] :
( ? [X4] : in(ordered_pair(X4,X3),X2)
| ~ in(X3,X1) ) )
& relation_of2_as_subset(X2,X0,X1) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] : in(ordered_pair(X4,X3),X2)
| ~ in(X3,X1) )
<~> relation_rng_as_subset(X0,X1,X2) = X1 )
& relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ! [X3] :
~ ( ! [X4] : ~ in(ordered_pair(X4,X3),X2)
& in(X3,X1) )
<=> relation_rng_as_subset(X0,X1,X2) = X1 ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ! [X3] :
~ ( ! [X4] : ~ in(ordered_pair(X4,X3),X2)
& in(X3,X1) )
<=> relation_rng_as_subset(X0,X1,X2) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_relset_1) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_rng_as_subset(X0,X1,X2) = relation_rng(X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( relation_rng_as_subset(X0,X1,X2) = relation_rng(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> relation_rng_as_subset(X0,X1,X2) = relation_rng(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_relset_1) ).
fof(f138,plain,
( sK1 != relation_rng_as_subset(sK0,sK1,sK2)
| spl14_2 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl14_2
<=> sK1 = relation_rng_as_subset(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f1668,plain,
( in(sK5(sK2,sK1),relation_rng(sK2))
| sK1 = relation_rng(sK2)
| spl14_45 ),
inference(subsumption_resolution,[],[f1665,f198]) ).
fof(f198,plain,
relation(sK2),
inference(resolution,[],[f195,f89]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f118,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f118,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1665,plain,
( in(sK5(sK2,sK1),relation_rng(sK2))
| ~ relation(sK2)
| sK1 = relation_rng(sK2)
| spl14_45 ),
inference(resolution,[],[f1659,f564]) ).
fof(f564,plain,
! [X0,X1] :
( in(sK5(X0,X1),relation_rng(X0))
| in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_rng(X0) = X1 ),
inference(duplicate_literal_removal,[],[f550]) ).
fof(f550,plain,
! [X0,X1] :
( relation_rng(X0) = X1
| in(sK5(X0,X1),X1)
| ~ relation(X0)
| in(sK5(X0,X1),relation_rng(X0))
| ~ relation(X0) ),
inference(resolution,[],[f96,f115]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X0,X1),X2)
| in(X1,relation_rng(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f96,plain,
! [X0,X1] :
( in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
| relation_rng(X0) = X1
| in(sK5(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK5(X0,X1)),X0)
| ~ in(sK5(X0,X1),X1) )
& ( in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
| in(sK5(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK7(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f70,f73,f72,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK5(X0,X1)),X0)
| ~ in(sK5(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK5(X0,X1)),X0)
| in(sK5(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK5(X0,X1)),X0)
=> in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK7(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f1659,plain,
( ~ in(sK5(sK2,sK1),sK1)
| spl14_45 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f1657,plain,
( spl14_45
<=> in(sK5(sK2,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_45])]) ).
fof(f2065,plain,
( spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(avatar_split_clause,[],[f1985,f304,f297,f294]) ).
fof(f297,plain,
( spl14_6
<=> empty(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f304,plain,
( spl14_7
<=> in(relation_rng(sK2),powerset(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f1985,plain,
( ! [X0] : ~ in(X0,relation_rng(sK2))
| ~ spl14_6
| ~ spl14_7 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f306,f314,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1676,f1678,f298,f313,f1980,f601,f1982,f618,f1983,f1963]) ).
fof(f1963,plain,
! [X0] :
( ~ in(X0,relation_rng(sK2))
| ~ empty(sK1) ),
inference(subsumption_resolution,[],[f811,f151]) ).
fof(f811,plain,
! [X0] :
( ~ in(X0,relation_rng(sK2))
| ~ empty(sK1)
| ~ relation_of2(sK2,sK0,sK1) ),
inference(superposition,[],[f286,f281]) ).
fof(f1983,plain,
( empty(sK1)
| ~ spl14_6 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1676,f1678,f1963,f298,f601,f1982,f618]) ).
fof(f618,plain,
! [X0] :
( ~ empty(X0)
| relation_rng(sK2) = X0
| empty(sK1)
| in(sK9(X0,relation_rng(sK2)),sK1) ),
inference(resolution,[],[f613,f106]) ).
fof(f1982,plain,
( empty(sK1)
| ~ spl14_6 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1676,f1678,f1963,f618,f298,f601]) ).
fof(f601,plain,
! [X0] :
( ~ empty(X0)
| relation_rng(sK2) = X0
| empty(sK1)
| in(sK9(relation_rng(sK2),X0),sK1) ),
inference(resolution,[],[f596,f106]) ).
fof(f1980,plain,
( ! [X0] : ~ in(X0,relation_rng(sK2))
| ~ spl14_6
| ~ spl14_7 ),
inference(global_subsumption,[],[f313,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1676,f1678,f1963,f618,f601,f298]) ).
fof(f313,plain,
( ! [X0] :
( ~ in(X0,relation_rng(sK2))
| ~ empty(sK1) )
| ~ spl14_7 ),
inference(resolution,[],[f306,f158]) ).
fof(f298,plain,
( empty(sK1)
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f1678,plain,
! [X4] :
( sK1 != relation_rng(sK2)
| ~ in(ordered_pair(X4,sK3),sK2) ),
inference(forward_demodulation,[],[f92,f281]) ).
fof(f1676,plain,
! [X5] :
( sK1 = relation_rng(sK2)
| in(ordered_pair(sK4(X5),X5),sK2)
| ~ in(X5,sK1) ),
inference(forward_demodulation,[],[f90,f281]) ).
fof(f553,plain,
! [X0,X1] :
( ~ in(X0,ordered_pair(sK6(X0,X1),sK5(X0,X1)))
| in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_rng(X0) = X1 ),
inference(resolution,[],[f96,f104]) ).
fof(f1584,plain,
! [X0,X1] :
( in(sK5(X0,sK8(powerset(X1))),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = sK8(powerset(X1))
| ~ empty(X1) ),
inference(resolution,[],[f564,f156]) ).
fof(f1583,plain,
! [X0,X1] :
( in(sK5(X0,sK8(powerset(X1))),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = sK8(powerset(X1))
| element(sK5(X0,sK8(powerset(X1))),X1) ),
inference(resolution,[],[f564,f214]) ).
fof(f1581,plain,
! [X2,X3,X0,X1] :
( in(sK5(X0,relation_rng_as_subset(X1,X2,X3)),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng_as_subset(X1,X2,X3)
| ~ empty(X2)
| ~ relation_of2(X3,X1,X2) ),
inference(resolution,[],[f564,f286]) ).
fof(f1580,plain,
! [X2,X3,X0,X1] :
( in(sK5(X0,relation_rng_as_subset(X1,X2,X3)),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng_as_subset(X1,X2,X3)
| element(sK5(X0,relation_rng_as_subset(X1,X2,X3)),X2)
| ~ relation_of2(X3,X1,X2) ),
inference(resolution,[],[f564,f285]) ).
fof(f1579,plain,
! [X2,X0,X1] :
( in(sK5(X0,relation_rng(sK11(X1,X2))),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(sK11(X1,X2))
| ~ empty(X2) ),
inference(resolution,[],[f564,f1169]) ).
fof(f1578,plain,
! [X2,X0,X1] :
( in(sK5(X0,relation_rng(sK11(X1,X2))),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(sK11(X1,X2))
| element(sK5(X0,relation_rng(sK11(X1,X2))),X2) ),
inference(resolution,[],[f564,f1168]) ).
fof(f1577,plain,
! [X2,X0,X1] :
( in(sK5(X0,relation_rng(sK10(X1,X2))),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(sK10(X1,X2))
| ~ empty(X2) ),
inference(resolution,[],[f564,f657]) ).
fof(f1576,plain,
! [X2,X0,X1] :
( in(sK5(X0,relation_rng(sK10(X1,X2))),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(sK10(X1,X2))
| element(sK5(X0,relation_rng(sK10(X1,X2))),X2) ),
inference(resolution,[],[f564,f656]) ).
fof(f1575,plain,
! [X0] :
( in(sK5(X0,relation_rng(sK2)),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(sK2)
| element(sK5(X0,relation_rng(sK2)),sK1) ),
inference(resolution,[],[f564,f290]) ).
fof(f1574,plain,
! [X0,X1] :
( in(sK5(X0,relation_rng(X1)),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(X1)
| ~ relation(X1)
| ~ empty(X1) ),
inference(resolution,[],[f564,f468]) ).
fof(f1573,plain,
! [X0,X1] :
( in(sK5(X0,relation_rng(X1)),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(X1)
| ~ relation(X1)
| ~ empty(relation_dom(X1)) ),
inference(resolution,[],[f564,f843]) ).
fof(f1572,plain,
! [X2,X0,X1] :
( in(sK5(X0,powerset(X1)),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = powerset(X1)
| ~ in(X2,sK5(X0,powerset(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f564,f158]) ).
fof(f1571,plain,
! [X2,X0,X1] :
( in(sK5(X0,powerset(X1)),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = powerset(X1)
| ~ in(X2,sK5(X0,powerset(X1)))
| element(X2,X1) ),
inference(resolution,[],[f564,f217]) ).
fof(f1570,plain,
! [X2,X0,X1] :
( in(sK5(X0,powerset(cartesian_product2(X1,X2))),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = powerset(cartesian_product2(X1,X2))
| relation(sK5(X0,powerset(cartesian_product2(X1,X2)))) ),
inference(resolution,[],[f564,f150]) ).
fof(f1569,plain,
! [X0,X1] :
( in(sK5(X0,X1),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f564,f111]) ).
fof(f1568,plain,
! [X0,X1] :
( in(sK5(X0,X1),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = X1
| ~ in(X1,sK5(X0,X1)) ),
inference(resolution,[],[f564,f104]) ).
fof(f1565,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_rng(X0) = X1
| ~ empty(relation_rng(X0)) ),
inference(resolution,[],[f564,f111]) ).
fof(f1564,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_rng(X0) = X1
| ~ in(relation_rng(X0),sK5(X0,X1)) ),
inference(resolution,[],[f564,f104]) ).
fof(f1599,plain,
! [X2,X0,X1] :
( in(sK5(sK11(X0,X1),X2),X2)
| relation_rng(sK11(X0,X1)) = X2
| ~ empty(X1) ),
inference(subsumption_resolution,[],[f1563,f199]) ).
fof(f1563,plain,
! [X2,X0,X1] :
( in(sK5(sK11(X0,X1),X2),X2)
| ~ relation(sK11(X0,X1))
| relation_rng(sK11(X0,X1)) = X2
| ~ empty(X1) ),
inference(resolution,[],[f564,f1169]) ).
fof(f1598,plain,
! [X2,X0,X1] :
( in(sK5(sK11(X0,X1),X2),X2)
| relation_rng(sK11(X0,X1)) = X2
| element(sK5(sK11(X0,X1),X2),X1) ),
inference(subsumption_resolution,[],[f1562,f199]) ).
fof(f1562,plain,
! [X2,X0,X1] :
( in(sK5(sK11(X0,X1),X2),X2)
| ~ relation(sK11(X0,X1))
| relation_rng(sK11(X0,X1)) = X2
| element(sK5(sK11(X0,X1),X2),X1) ),
inference(resolution,[],[f564,f1168]) ).
fof(f1597,plain,
! [X2,X0,X1] :
( in(sK5(sK10(X0,X1),X2),X2)
| relation_rng(sK10(X0,X1)) = X2
| ~ empty(X1) ),
inference(subsumption_resolution,[],[f1561,f201]) ).
fof(f1561,plain,
! [X2,X0,X1] :
( in(sK5(sK10(X0,X1),X2),X2)
| ~ relation(sK10(X0,X1))
| relation_rng(sK10(X0,X1)) = X2
| ~ empty(X1) ),
inference(resolution,[],[f564,f657]) ).
fof(f1596,plain,
! [X2,X0,X1] :
( in(sK5(sK10(X0,X1),X2),X2)
| relation_rng(sK10(X0,X1)) = X2
| element(sK5(sK10(X0,X1),X2),X1) ),
inference(subsumption_resolution,[],[f1560,f201]) ).
fof(f1560,plain,
! [X2,X0,X1] :
( in(sK5(sK10(X0,X1),X2),X2)
| ~ relation(sK10(X0,X1))
| relation_rng(sK10(X0,X1)) = X2
| element(sK5(sK10(X0,X1),X2),X1) ),
inference(resolution,[],[f564,f656]) ).
fof(f1595,plain,
! [X0] :
( in(sK5(sK2,X0),X0)
| relation_rng(sK2) = X0
| element(sK5(sK2,X0),sK1) ),
inference(subsumption_resolution,[],[f1559,f198]) ).
fof(f1559,plain,
! [X0] :
( in(sK5(sK2,X0),X0)
| ~ relation(sK2)
| relation_rng(sK2) = X0
| element(sK5(sK2,X0),sK1) ),
inference(resolution,[],[f564,f290]) ).
fof(f1593,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_rng(X0) = X1
| ~ empty(relation_dom(X0)) ),
inference(duplicate_literal_removal,[],[f1557]) ).
fof(f1557,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_rng(X0) = X1
| ~ relation(X0)
| ~ empty(relation_dom(X0)) ),
inference(resolution,[],[f564,f843]) ).
fof(f1547,plain,
! [X0,X1] :
( in(sK6(X0,sK8(powerset(X1))),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = sK8(powerset(X1))
| ~ empty(X1) ),
inference(resolution,[],[f563,f156]) ).
fof(f1546,plain,
! [X0,X1] :
( in(sK6(X0,sK8(powerset(X1))),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = sK8(powerset(X1))
| element(sK5(X0,sK8(powerset(X1))),X1) ),
inference(resolution,[],[f563,f214]) ).
fof(f1544,plain,
! [X2,X3,X0,X1] :
( in(sK6(X0,relation_rng_as_subset(X1,X2,X3)),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng_as_subset(X1,X2,X3)
| ~ empty(X2)
| ~ relation_of2(X3,X1,X2) ),
inference(resolution,[],[f563,f286]) ).
fof(f1543,plain,
! [X2,X3,X0,X1] :
( in(sK6(X0,relation_rng_as_subset(X1,X2,X3)),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng_as_subset(X1,X2,X3)
| element(sK5(X0,relation_rng_as_subset(X1,X2,X3)),X2)
| ~ relation_of2(X3,X1,X2) ),
inference(resolution,[],[f563,f285]) ).
fof(f1542,plain,
! [X2,X0,X1] :
( in(sK6(X0,relation_rng(sK11(X1,X2))),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(sK11(X1,X2))
| ~ empty(X2) ),
inference(resolution,[],[f563,f1169]) ).
fof(f1541,plain,
! [X2,X0,X1] :
( in(sK6(X0,relation_rng(sK11(X1,X2))),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(sK11(X1,X2))
| element(sK5(X0,relation_rng(sK11(X1,X2))),X2) ),
inference(resolution,[],[f563,f1168]) ).
fof(f1540,plain,
! [X2,X0,X1] :
( in(sK6(X0,relation_rng(sK10(X1,X2))),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(sK10(X1,X2))
| ~ empty(X2) ),
inference(resolution,[],[f563,f657]) ).
fof(f1539,plain,
! [X2,X0,X1] :
( in(sK6(X0,relation_rng(sK10(X1,X2))),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(sK10(X1,X2))
| element(sK5(X0,relation_rng(sK10(X1,X2))),X2) ),
inference(resolution,[],[f563,f656]) ).
fof(f1538,plain,
! [X0] :
( in(sK6(X0,relation_rng(sK2)),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(sK2)
| element(sK5(X0,relation_rng(sK2)),sK1) ),
inference(resolution,[],[f563,f290]) ).
fof(f1537,plain,
! [X0,X1] :
( in(sK6(X0,relation_rng(X1)),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(X1)
| ~ relation(X1)
| ~ empty(X1) ),
inference(resolution,[],[f563,f468]) ).
fof(f1536,plain,
! [X0,X1] :
( in(sK6(X0,relation_rng(X1)),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = relation_rng(X1)
| ~ relation(X1)
| ~ empty(relation_dom(X1)) ),
inference(resolution,[],[f563,f843]) ).
fof(f1535,plain,
! [X2,X0,X1] :
( in(sK6(X0,powerset(X1)),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = powerset(X1)
| ~ in(X2,sK5(X0,powerset(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f563,f158]) ).
fof(f1534,plain,
! [X2,X0,X1] :
( in(sK6(X0,powerset(X1)),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = powerset(X1)
| ~ in(X2,sK5(X0,powerset(X1)))
| element(X2,X1) ),
inference(resolution,[],[f563,f217]) ).
fof(f1533,plain,
! [X2,X0,X1] :
( in(sK6(X0,powerset(cartesian_product2(X1,X2))),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = powerset(cartesian_product2(X1,X2))
| relation(sK5(X0,powerset(cartesian_product2(X1,X2)))) ),
inference(resolution,[],[f563,f150]) ).
fof(f1532,plain,
! [X0,X1] :
( in(sK6(X0,X1),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f563,f111]) ).
fof(f1531,plain,
! [X0,X1] :
( in(sK6(X0,X1),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = X1
| ~ in(X1,sK5(X0,X1)) ),
inference(resolution,[],[f563,f104]) ).
fof(f1528,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_rng(X0) = X1
| ~ empty(relation_dom(X0)) ),
inference(resolution,[],[f563,f111]) ).
fof(f1527,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_rng(X0) = X1
| ~ in(relation_dom(X0),sK6(X0,X1)) ),
inference(resolution,[],[f563,f104]) ).
fof(f563,plain,
! [X0,X1] :
( in(sK6(X0,X1),relation_dom(X0))
| in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_rng(X0) = X1 ),
inference(duplicate_literal_removal,[],[f551]) ).
fof(f551,plain,
! [X0,X1] :
( relation_rng(X0) = X1
| in(sK5(X0,X1),X1)
| ~ relation(X0)
| in(sK6(X0,X1),relation_dom(X0))
| ~ relation(X0) ),
inference(resolution,[],[f96,f114]) ).
fof(f785,plain,
( empty_set = sK8(powerset(relation_rng(empty_set)))
| ~ relation(empty_set) ),
inference(forward_demodulation,[],[f648,f129]) ).
fof(f648,plain,
( ~ relation(empty_set)
| empty_set = sK8(powerset(relation_rng(sK13))) ),
inference(forward_demodulation,[],[f646,f129]) ).
fof(f646,plain,
( ~ relation(sK13)
| empty_set = sK8(powerset(relation_rng(sK13))) ),
inference(resolution,[],[f537,f125]) ).
fof(f641,plain,
( ~ relation(empty_set)
| empty_set = sK8(powerset(relation_rng(empty_set))) ),
inference(resolution,[],[f537,f93]) ).
fof(f541,plain,
( ~ relation(empty_set)
| empty_set = relation_rng(empty_set) ),
inference(resolution,[],[f539,f93]) ).
fof(f549,plain,
( empty_set = relation_rng(empty_set)
| ~ relation(empty_set) ),
inference(forward_demodulation,[],[f548,f129]) ).
fof(f548,plain,
( ~ relation(empty_set)
| empty_set = relation_rng(sK13) ),
inference(forward_demodulation,[],[f545,f129]) ).
fof(f545,plain,
( ~ relation(sK13)
| empty_set = relation_rng(sK13) ),
inference(resolution,[],[f539,f125]) ).
fof(f514,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),relation_rng(X0))
| ~ in(sK5(X0,X1),X1)
| ~ relation(X0)
| relation_rng(X0) = X1 ),
inference(duplicate_literal_removal,[],[f509]) ).
fof(f509,plain,
! [X0,X1] :
( relation_rng(X0) = X1
| ~ in(sK5(X0,X1),X1)
| ~ relation(X0)
| ~ in(sK5(X0,X1),relation_rng(X0))
| ~ relation(X0) ),
inference(resolution,[],[f97,f127]) ).
fof(f1361,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(sK11(X1,sK8(powerset(relation_rng(sK11(X2,X0)))))) ),
inference(resolution,[],[f1189,f1194]) ).
fof(f1360,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(sK10(X1,sK8(powerset(sK8(powerset(relation_rng(sK11(X2,X0)))))))) ),
inference(resolution,[],[f1189,f678]) ).
fof(f1359,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(relation_rng(sK10(X1,sK8(powerset(relation_rng(sK11(X2,X0)))))))) ),
inference(resolution,[],[f1189,f670]) ).
fof(f1358,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(sK10(X1,sK8(powerset(relation_rng(sK11(X2,X0)))))) ),
inference(resolution,[],[f1189,f667]) ).
fof(f1357,plain,
! [X2,X3,X0,X1] :
( ~ empty(X0)
| relation_rng(sK10(X1,X2)) = sK8(powerset(relation_rng(sK11(X3,X0))))
| ~ empty(X2) ),
inference(resolution,[],[f1189,f663]) ).
fof(f1356,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(X1) = sK8(powerset(relation_rng(sK11(X2,X0))))
| ~ relation(X1)
| ~ empty(X1) ),
inference(resolution,[],[f1189,f597]) ).
fof(f1355,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(sK8(powerset(relation_rng(sK11(X1,X0)))))
| empty_set = relation_rng(sK8(powerset(relation_rng(sK11(X1,X0))))) ),
inference(resolution,[],[f1189,f539]) ).
fof(f1354,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(sK8(powerset(relation_rng(sK11(X1,X0)))))
| empty_set = sK8(powerset(relation_rng(sK8(powerset(relation_rng(sK11(X1,X0))))))) ),
inference(resolution,[],[f1189,f537]) ).
fof(f1353,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(sK8(powerset(relation_rng(sK11(X1,X0)))))))) ),
inference(resolution,[],[f1189,f164]) ).
fof(f1352,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(relation_rng(sK11(X1,X0)))))) ),
inference(resolution,[],[f1189,f161]) ).
fof(f1351,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| sK8(powerset(X1)) = sK8(powerset(relation_rng(sK11(X2,X0))))
| ~ empty(X1) ),
inference(resolution,[],[f1189,f160]) ).
fof(f1350,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| sK8(powerset(relation_rng(sK11(X2,X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1189,f110]) ).
fof(f1349,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(relation_rng(sK11(X1,X0)))) ),
inference(resolution,[],[f1189,f98]) ).
fof(f1189,plain,
! [X0,X1] :
( empty(sK8(powerset(relation_rng(sK11(X1,X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f1169,f251]) ).
fof(f1345,plain,
! [X2,X0,X1] :
( element(sK9(relation_rng(sK11(X0,X1)),X2),X1)
| in(sK9(relation_rng(sK11(X0,X1)),X2),X2)
| relation_rng(sK11(X0,X1)) = X2 ),
inference(resolution,[],[f1168,f107]) ).
fof(f1344,plain,
! [X2,X0,X1] :
( element(sK9(relation_rng(sK11(X0,X1)),X2),X1)
| relation_rng(sK11(X0,X1)) = X2
| ~ empty(X2) ),
inference(resolution,[],[f1168,f387]) ).
fof(f1343,plain,
! [X2,X0,X1] :
( element(sK9(X0,relation_rng(sK11(X1,X2))),X2)
| in(sK9(X0,relation_rng(sK11(X1,X2))),X0)
| relation_rng(sK11(X1,X2)) = X0 ),
inference(resolution,[],[f1168,f107]) ).
fof(f1342,plain,
! [X2,X0,X1] :
( element(sK9(X0,relation_rng(sK11(X1,X2))),X2)
| relation_rng(sK11(X1,X2)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f1168,f395]) ).
fof(f1341,plain,
! [X0,X1] :
( element(sK8(sK8(powerset(relation_rng(sK11(X0,X1))))),X1)
| empty(sK8(powerset(relation_rng(sK11(X0,X1))))) ),
inference(resolution,[],[f1168,f251]) ).
fof(f1340,plain,
! [X0,X1] :
( element(sK8(relation_rng(sK11(X0,X1))),X1)
| empty(relation_rng(sK11(X0,X1))) ),
inference(resolution,[],[f1168,f143]) ).
fof(f1338,plain,
! [X2,X0,X1] :
( element(sK5(X0,relation_rng(sK11(X1,X2))),X2)
| relation_rng(X0) = relation_rng(sK11(X1,X2))
| ~ relation(X0)
| ~ empty(X0) ),
inference(resolution,[],[f1168,f554]) ).
fof(f1337,plain,
! [X2,X0,X1] :
( element(ordered_pair(sK6(relation_rng(sK11(X0,X1)),X2),sK5(relation_rng(sK11(X0,X1)),X2)),X1)
| relation_rng(relation_rng(sK11(X0,X1))) = X2
| in(sK5(relation_rng(sK11(X0,X1)),X2),X2)
| ~ relation(relation_rng(sK11(X0,X1))) ),
inference(resolution,[],[f1168,f96]) ).
fof(f1336,plain,
! [X2,X0,X1] :
( element(ordered_pair(sK7(relation_rng(sK11(X0,X1)),X2),X2),X1)
| ~ in(X2,relation_rng(relation_rng(sK11(X0,X1))))
| ~ relation(relation_rng(sK11(X0,X1))) ),
inference(resolution,[],[f1168,f127]) ).
fof(f1168,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_rng(sK11(X0,X1)))
| element(X2,X1) ),
inference(subsumption_resolution,[],[f1164,f152]) ).
fof(f1164,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_rng(sK11(X0,X1)))
| element(X2,X1)
| ~ relation_of2(sK11(X0,X1),X0,X1) ),
inference(superposition,[],[f285,f282]) ).
fof(f1335,plain,
! [X2,X0,X1] :
( empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(sK9(X2,powerset(cartesian_product2(X0,X1))),X0,X1)
| powerset(cartesian_product2(X0,X1)) = X2
| ~ in(sK9(X2,powerset(cartesian_product2(X0,X1))),X2) ),
inference(resolution,[],[f197,f108]) ).
fof(f1334,plain,
! [X2,X3,X0,X1] :
( empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(ordered_pair(X2,sK5(powerset(cartesian_product2(X0,X1)),X3)),X0,X1)
| relation_rng(powerset(cartesian_product2(X0,X1))) = X3
| ~ in(sK5(powerset(cartesian_product2(X0,X1)),X3),X3)
| ~ relation(powerset(cartesian_product2(X0,X1))) ),
inference(resolution,[],[f197,f97]) ).
fof(f1333,plain,
! [X2,X3,X0,X1] :
( empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(ordered_pair(X2,X3),X0,X1)
| in(X2,relation_dom(powerset(cartesian_product2(X0,X1))))
| ~ relation(powerset(cartesian_product2(X0,X1))) ),
inference(resolution,[],[f197,f114]) ).
fof(f1332,plain,
! [X2,X3,X0,X1] :
( empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(ordered_pair(X2,X3),X0,X1)
| in(X3,relation_rng(powerset(cartesian_product2(X0,X1))))
| ~ relation(powerset(cartesian_product2(X0,X1))) ),
inference(resolution,[],[f197,f115]) ).
fof(f1328,plain,
! [X2,X0,X1] :
( empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(powerset(X2),X0,X1)
| ~ subset(powerset(cartesian_product2(X0,X1)),X2)
| empty(powerset(X2)) ),
inference(resolution,[],[f197,f224]) ).
fof(f1325,plain,
! [X2,X0,X1] :
( empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1)
| ~ in(powerset(cartesian_product2(X0,X1)),X2) ),
inference(resolution,[],[f197,f104]) ).
fof(f197,plain,
! [X2,X0,X1] :
( in(X0,powerset(cartesian_product2(X1,X2)))
| empty(powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(resolution,[],[f118,f106]) ).
fof(f1259,plain,
! [X0,X1] : ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(unordered_pair(X0,X1))),ordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(superposition,[],[f231,f168]) ).
fof(f1258,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(superposition,[],[f169,f168]) ).
fof(f1257,plain,
! [X0,X1] : ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(singleton(unordered_pair(X0,X1)))),
inference(superposition,[],[f166,f168]) ).
fof(f1256,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f103,f168]) ).
fof(f1255,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f168,f231]) ).
fof(f1254,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f168,f169]) ).
fof(f1253,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))) = unordered_pair(ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),singleton(ordered_pair(unordered_pair(X0,X1),singleton(X0)))),
inference(superposition,[],[f168,f168]) ).
fof(f1252,plain,
! [X0,X1] : ordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X1)),singleton(ordered_pair(X1,X0))),
inference(superposition,[],[f168,f166]) ).
fof(f1251,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f168,f103]) ).
fof(f1250,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f168,f102]) ).
fof(f1249,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f168,f102]) ).
fof(f168,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f103,f103]) ).
fof(f1230,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| ~ empty(sK11(X0,empty_set)) ),
inference(subsumption_resolution,[],[f1224,f199]) ).
fof(f1224,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| ~ relation(sK11(X0,empty_set))
| ~ empty(sK11(X0,empty_set)) ),
inference(superposition,[],[f468,f1209]) ).
fof(f1227,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| ~ empty(relation_dom(sK11(X0,empty_set))) ),
inference(subsumption_resolution,[],[f1221,f199]) ).
fof(f1221,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| ~ relation(sK11(X0,empty_set))
| ~ empty(relation_dom(sK11(X0,empty_set))) ),
inference(superposition,[],[f843,f1209]) ).
fof(f1209,plain,
! [X0] : empty_set = relation_rng(sK11(X0,empty_set)),
inference(resolution,[],[f1194,f93]) ).
fof(f1216,plain,
! [X0] : empty_set = relation_rng(sK11(X0,empty_set)),
inference(forward_demodulation,[],[f1215,f129]) ).
fof(f1215,plain,
! [X0] : empty_set = relation_rng(sK11(X0,sK13)),
inference(resolution,[],[f1194,f125]) ).
fof(f1214,plain,
! [X2,X0,X1] :
( empty_set = relation_rng(sK11(X0,sK8(powerset(relation_rng(sK10(X1,X2))))))
| ~ empty(X2) ),
inference(resolution,[],[f1194,f662]) ).
fof(f1213,plain,
! [X0,X1] :
( empty_set = relation_rng(sK11(X0,sK8(powerset(relation_rng(X1)))))
| ~ empty(X1)
| ~ relation(X1) ),
inference(resolution,[],[f1194,f531]) ).
fof(f1212,plain,
! [X0,X1] :
( empty_set = relation_rng(sK11(X0,sK8(powerset(relation_rng(X1)))))
| ~ empty(relation_dom(X1))
| ~ relation(X1) ),
inference(resolution,[],[f1194,f961]) ).
fof(f1211,plain,
! [X0,X1] :
( empty_set = relation_rng(sK11(X0,sK8(powerset(sK8(powerset(X1))))))
| ~ empty(X1) ),
inference(resolution,[],[f1194,f266]) ).
fof(f1210,plain,
! [X0,X1] :
( empty_set = relation_rng(sK11(X0,sK8(powerset(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f1194,f159]) ).
fof(f1208,plain,
! [X2,X0,X1] :
( empty_set = relation_rng(sK11(X0,relation_rng(sK11(X1,X2))))
| ~ empty(X2) ),
inference(resolution,[],[f1194,f1188]) ).
fof(f1207,plain,
! [X2,X0,X1] :
( empty_set = relation_rng(sK11(X0,relation_rng(sK10(X1,X2))))
| ~ empty(X2) ),
inference(resolution,[],[f1194,f661]) ).
fof(f1206,plain,
! [X0,X1] :
( empty_set = relation_rng(sK11(X0,relation_rng(X1)))
| ~ empty(X1)
| ~ relation(X1) ),
inference(resolution,[],[f1194,f530]) ).
fof(f1194,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(sK11(X1,X0)) ),
inference(resolution,[],[f1188,f98]) ).
fof(f1205,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(sK10(X1,sK8(powerset(relation_rng(sK11(X2,X0)))))) ),
inference(resolution,[],[f1188,f678]) ).
fof(f1204,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(relation_rng(sK10(X1,relation_rng(sK11(X2,X0)))))) ),
inference(resolution,[],[f1188,f670]) ).
fof(f1203,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(sK10(X1,relation_rng(sK11(X2,X0)))) ),
inference(resolution,[],[f1188,f667]) ).
fof(f1202,plain,
! [X2,X3,X0,X1] :
( ~ empty(X0)
| relation_rng(sK10(X1,X2)) = relation_rng(sK11(X3,X0))
| ~ empty(X2) ),
inference(resolution,[],[f1188,f663]) ).
fof(f1201,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(X1) = relation_rng(sK11(X2,X0))
| ~ relation(X1)
| ~ empty(X1) ),
inference(resolution,[],[f1188,f597]) ).
fof(f1200,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(relation_rng(sK11(X1,X0)))
| empty_set = relation_rng(relation_rng(sK11(X1,X0))) ),
inference(resolution,[],[f1188,f539]) ).
fof(f1199,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(relation_rng(sK11(X1,X0)))
| empty_set = sK8(powerset(relation_rng(relation_rng(sK11(X1,X0))))) ),
inference(resolution,[],[f1188,f537]) ).
fof(f1198,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(relation_rng(sK11(X1,X0)))))) ),
inference(resolution,[],[f1188,f164]) ).
fof(f1197,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(relation_rng(sK11(X1,X0)))) ),
inference(resolution,[],[f1188,f161]) ).
fof(f1196,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| sK8(powerset(X1)) = relation_rng(sK11(X2,X0))
| ~ empty(X1) ),
inference(resolution,[],[f1188,f160]) ).
fof(f1195,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(X2,X0)) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1188,f110]) ).
fof(f1188,plain,
! [X0,X1] :
( empty(relation_rng(sK11(X1,X0)))
| ~ empty(X0) ),
inference(resolution,[],[f1169,f143]) ).
fof(f1193,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| in(sK9(relation_rng(sK11(X1,X0)),X2),X2)
| relation_rng(sK11(X1,X0)) = X2 ),
inference(resolution,[],[f1169,f107]) ).
fof(f1192,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(X1,X0)) = X2
| ~ empty(X2) ),
inference(resolution,[],[f1169,f387]) ).
fof(f1191,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| in(sK9(X1,relation_rng(sK11(X2,X0))),X1)
| relation_rng(sK11(X2,X0)) = X1 ),
inference(resolution,[],[f1169,f107]) ).
fof(f1190,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(sK11(X2,X0)) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1169,f395]) ).
fof(f1187,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(X1) = relation_rng(sK11(X2,X0))
| ~ relation(X1)
| ~ empty(X1) ),
inference(resolution,[],[f1169,f554]) ).
fof(f1186,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_rng(sK11(X1,X0))) = X2
| in(sK5(relation_rng(sK11(X1,X0)),X2),X2)
| ~ relation(relation_rng(sK11(X1,X0))) ),
inference(resolution,[],[f1169,f96]) ).
fof(f1185,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,relation_rng(relation_rng(sK11(X2,X0))))
| ~ relation(relation_rng(sK11(X2,X0))) ),
inference(resolution,[],[f1169,f127]) ).
fof(f1169,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_rng(sK11(X0,X1)))
| ~ empty(X1) ),
inference(subsumption_resolution,[],[f1165,f152]) ).
fof(f1165,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_rng(sK11(X0,X1)))
| ~ empty(X1)
| ~ relation_of2(sK11(X0,X1),X0,X1) ),
inference(superposition,[],[f286,f282]) ).
fof(f1171,plain,
! [X2,X0,X1] : relation(relation_rng(sK11(X0,cartesian_product2(X1,X2)))),
inference(subsumption_resolution,[],[f1167,f152]) ).
fof(f1167,plain,
! [X2,X0,X1] :
( relation(relation_rng(sK11(X0,cartesian_product2(X1,X2))))
| ~ relation_of2(sK11(X0,cartesian_product2(X1,X2)),X0,cartesian_product2(X1,X2)) ),
inference(superposition,[],[f284,f282]) ).
fof(f1184,plain,
! [X0,X1] :
( empty(powerset(X0))
| in(relation_rng(sK11(X1,X0)),powerset(X0)) ),
inference(resolution,[],[f1170,f106]) ).
fof(f1183,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,relation_rng(sK11(X2,X0))) ),
inference(resolution,[],[f1170,f123]) ).
fof(f1182,plain,
! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,relation_rng(sK11(X2,X1))) ),
inference(resolution,[],[f1170,f120]) ).
fof(f1181,plain,
! [X2,X0,X1] : relation(relation_rng(sK11(X0,cartesian_product2(X1,X2)))),
inference(resolution,[],[f1170,f119]) ).
fof(f1170,plain,
! [X0,X1] : element(relation_rng(sK11(X0,X1)),powerset(X1)),
inference(subsumption_resolution,[],[f1166,f152]) ).
fof(f1166,plain,
! [X0,X1] :
( element(relation_rng(sK11(X0,X1)),powerset(X1))
| ~ relation_of2(sK11(X0,X1),X0,X1) ),
inference(superposition,[],[f117,f282]) ).
fof(f1180,plain,
! [X0,X1] :
( in(relation_rng(sK11(X0,X1)),powerset(X1))
| empty(powerset(X1)) ),
inference(subsumption_resolution,[],[f1179,f152]) ).
fof(f1179,plain,
! [X0,X1] :
( in(relation_rng(sK11(X0,X1)),powerset(X1))
| empty(powerset(X1))
| ~ relation_of2(sK11(X0,X1),X0,X1) ),
inference(superposition,[],[f287,f282]) ).
fof(f1175,plain,
! [X2,X0,X1] :
( empty(powerset(X0))
| ~ relation_of2(X1,X2,X0)
| ~ in(powerset(X0),relation_rng_as_subset(X2,X0,X1)) ),
inference(resolution,[],[f287,f104]) ).
fof(f287,plain,
! [X2,X0,X1] :
( in(relation_rng_as_subset(X1,X2,X0),powerset(X2))
| empty(powerset(X2))
| ~ relation_of2(X0,X1,X2) ),
inference(resolution,[],[f117,f106]) ).
fof(f282,plain,
! [X0,X1] : relation_rng_as_subset(X0,X1,sK11(X0,X1)) = relation_rng(sK11(X0,X1)),
inference(resolution,[],[f116,f152]) ).
fof(f1147,plain,
! [X2,X0,X1] :
( empty_set = relation_rng(sK10(X0,sK8(powerset(sK8(powerset(relation_rng(sK10(X1,X2))))))))
| ~ empty(X2) ),
inference(resolution,[],[f678,f662]) ).
fof(f1146,plain,
! [X0,X1] :
( empty_set = relation_rng(sK10(X0,sK8(powerset(sK8(powerset(relation_rng(X1)))))))
| ~ empty(X1)
| ~ relation(X1) ),
inference(resolution,[],[f678,f531]) ).
fof(f1145,plain,
! [X0,X1] :
( empty_set = relation_rng(sK10(X0,sK8(powerset(sK8(powerset(relation_rng(X1)))))))
| ~ empty(relation_dom(X1))
| ~ relation(X1) ),
inference(resolution,[],[f678,f961]) ).
fof(f1144,plain,
! [X0,X1] :
( empty_set = relation_rng(sK10(X0,sK8(powerset(sK8(powerset(sK8(powerset(X1))))))))
| ~ empty(X1) ),
inference(resolution,[],[f678,f266]) ).
fof(f1143,plain,
! [X0,X1] :
( empty_set = relation_rng(sK10(X0,sK8(powerset(sK8(powerset(X1))))))
| ~ empty(X1) ),
inference(resolution,[],[f678,f159]) ).
fof(f1141,plain,
! [X2,X0,X1] :
( empty_set = relation_rng(sK10(X0,sK8(powerset(relation_rng(sK10(X1,X2))))))
| ~ empty(X2) ),
inference(resolution,[],[f678,f661]) ).
fof(f1140,plain,
! [X0,X1] :
( empty_set = relation_rng(sK10(X0,sK8(powerset(relation_rng(X1)))))
| ~ empty(X1)
| ~ relation(X1) ),
inference(resolution,[],[f678,f530]) ).
fof(f678,plain,
! [X0,X1] :
( ~ empty(X1)
| empty_set = relation_rng(sK10(X0,sK8(powerset(X1)))) ),
inference(resolution,[],[f667,f159]) ).
fof(f1137,plain,
! [X0,X1] :
( relation_rng(X0) = sK8(powerset(X1))
| ~ relation(X0)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f554,f156]) ).
fof(f1136,plain,
! [X0,X1] :
( relation_rng(X0) = sK8(powerset(X1))
| ~ relation(X0)
| ~ empty(X0)
| element(sK5(X0,sK8(powerset(X1))),X1) ),
inference(resolution,[],[f554,f214]) ).
fof(f1135,plain,
! [X2,X3,X0,X1] :
( relation_rng(X0) = relation_rng_as_subset(X1,X2,X3)
| ~ relation(X0)
| ~ empty(X0)
| ~ empty(X2)
| ~ relation_of2(X3,X1,X2) ),
inference(resolution,[],[f554,f286]) ).
fof(f1134,plain,
! [X2,X3,X0,X1] :
( relation_rng(X0) = relation_rng_as_subset(X1,X2,X3)
| ~ relation(X0)
| ~ empty(X0)
| element(sK5(X0,relation_rng_as_subset(X1,X2,X3)),X2)
| ~ relation_of2(X3,X1,X2) ),
inference(resolution,[],[f554,f285]) ).
fof(f1133,plain,
! [X2,X0,X1] :
( relation_rng(X0) = relation_rng(sK10(X1,X2))
| ~ relation(X0)
| ~ empty(X0)
| ~ empty(X2) ),
inference(resolution,[],[f554,f657]) ).
fof(f1132,plain,
! [X2,X0,X1] :
( relation_rng(X0) = relation_rng(sK10(X1,X2))
| ~ relation(X0)
| ~ empty(X0)
| element(sK5(X0,relation_rng(sK10(X1,X2))),X2) ),
inference(resolution,[],[f554,f656]) ).
fof(f1131,plain,
! [X0,X1] :
( relation_rng(X0) = relation_rng(X1)
| ~ relation(X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X1) ),
inference(resolution,[],[f554,f468]) ).
fof(f1130,plain,
! [X0,X1] :
( relation_rng(X0) = relation_rng(X1)
| ~ relation(X0)
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(relation_dom(X1)) ),
inference(resolution,[],[f554,f843]) ).
fof(f1129,plain,
! [X0] :
( relation_rng(X0) = relation_rng(sK2)
| ~ relation(X0)
| ~ empty(X0)
| element(sK5(X0,relation_rng(sK2)),sK1) ),
inference(resolution,[],[f554,f290]) ).
fof(f1128,plain,
! [X2,X0,X1] :
( relation_rng(X0) = powerset(X1)
| ~ relation(X0)
| ~ empty(X0)
| ~ in(X2,sK5(X0,powerset(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f554,f158]) ).
fof(f1127,plain,
! [X2,X0,X1] :
( relation_rng(X0) = powerset(X1)
| ~ relation(X0)
| ~ empty(X0)
| ~ in(X2,sK5(X0,powerset(X1)))
| element(X2,X1) ),
inference(resolution,[],[f554,f217]) ).
fof(f1126,plain,
! [X2,X0,X1] :
( relation_rng(X0) = powerset(cartesian_product2(X1,X2))
| ~ relation(X0)
| ~ empty(X0)
| relation(sK5(X0,powerset(cartesian_product2(X1,X2)))) ),
inference(resolution,[],[f554,f150]) ).
fof(f1124,plain,
! [X0,X1] :
( relation_rng(X0) = X1
| ~ relation(X0)
| ~ empty(X0)
| ~ in(X1,sK5(X0,X1)) ),
inference(resolution,[],[f554,f104]) ).
fof(f554,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| relation_rng(X0) = X1
| ~ relation(X0)
| ~ empty(X0) ),
inference(resolution,[],[f96,f111]) ).
fof(f1118,plain,
! [X2,X0,X1] :
( empty_set = sK8(powerset(relation_rng(sK10(X0,sK8(powerset(relation_rng(sK10(X1,X2))))))))
| ~ empty(X2) ),
inference(resolution,[],[f670,f662]) ).
fof(f1117,plain,
! [X0,X1] :
( empty_set = sK8(powerset(relation_rng(sK10(X0,sK8(powerset(relation_rng(X1)))))))
| ~ empty(X1)
| ~ relation(X1) ),
inference(resolution,[],[f670,f531]) ).
fof(f1116,plain,
! [X0,X1] :
( empty_set = sK8(powerset(relation_rng(sK10(X0,sK8(powerset(relation_rng(X1)))))))
| ~ empty(relation_dom(X1))
| ~ relation(X1) ),
inference(resolution,[],[f670,f961]) ).
fof(f1115,plain,
! [X0,X1] :
( empty_set = sK8(powerset(relation_rng(sK10(X0,sK8(powerset(sK8(powerset(X1))))))))
| ~ empty(X1) ),
inference(resolution,[],[f670,f266]) ).
fof(f1114,plain,
! [X0,X1] :
( empty_set = sK8(powerset(relation_rng(sK10(X0,sK8(powerset(X1))))))
| ~ empty(X1) ),
inference(resolution,[],[f670,f159]) ).
fof(f1112,plain,
! [X2,X0,X1] :
( empty_set = sK8(powerset(relation_rng(sK10(X0,relation_rng(sK10(X1,X2))))))
| ~ empty(X2) ),
inference(resolution,[],[f670,f661]) ).
fof(f1111,plain,
! [X0,X1] :
( empty_set = sK8(powerset(relation_rng(sK10(X0,relation_rng(X1)))))
| ~ empty(X1)
| ~ relation(X1) ),
inference(resolution,[],[f670,f530]) ).
fof(f670,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(relation_rng(sK10(X1,X0)))) ),
inference(resolution,[],[f661,f161]) ).
fof(f1085,plain,
! [X0,X1] :
( ~ in(powerset(X0),relation_rng(sK10(X1,X0)))
| empty(powerset(X0)) ),
inference(resolution,[],[f658,f104]) ).
fof(f1107,plain,
! [X0,X1] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty_set = relation_rng(sK10(X1,sK8(powerset(relation_rng(X0))))) ),
inference(resolution,[],[f961,f667]) ).
fof(f1106,plain,
! [X2,X0,X1] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| sK8(powerset(relation_rng(X0))) = relation_rng(sK10(X1,X2))
| ~ empty(X2) ),
inference(resolution,[],[f961,f663]) ).
fof(f1105,plain,
! [X0,X1] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| relation_rng(X1) = sK8(powerset(relation_rng(X0)))
| ~ relation(X1)
| ~ empty(X1) ),
inference(resolution,[],[f961,f597]) ).
fof(f1104,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| ~ relation(sK8(powerset(relation_rng(X0))))
| empty_set = relation_rng(sK8(powerset(relation_rng(X0)))) ),
inference(resolution,[],[f961,f539]) ).
fof(f1103,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| ~ relation(sK8(powerset(relation_rng(X0))))
| empty_set = sK8(powerset(relation_rng(sK8(powerset(relation_rng(X0)))))) ),
inference(resolution,[],[f961,f537]) ).
fof(f1102,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty_set = sK8(powerset(sK8(powerset(sK8(powerset(relation_rng(X0))))))) ),
inference(resolution,[],[f961,f164]) ).
fof(f1101,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty_set = sK8(powerset(sK8(powerset(relation_rng(X0))))) ),
inference(resolution,[],[f961,f161]) ).
fof(f1100,plain,
! [X0,X1] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| sK8(powerset(X1)) = sK8(powerset(relation_rng(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f961,f160]) ).
fof(f1099,plain,
! [X0,X1] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| sK8(powerset(relation_rng(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f961,f110]) ).
fof(f1098,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty_set = sK8(powerset(relation_rng(X0))) ),
inference(resolution,[],[f961,f98]) ).
fof(f961,plain,
! [X0] :
( empty(sK8(powerset(relation_rng(X0))))
| ~ empty(relation_dom(X0))
| ~ relation(X0) ),
inference(resolution,[],[f843,f251]) ).
fof(f1094,plain,
! [X2,X3,X0,X1] :
( relation_rng(sK10(X0,X1)) = sK8(powerset(relation_rng(sK10(X2,X3))))
| ~ empty(X1)
| ~ empty(X3) ),
inference(resolution,[],[f663,f662]) ).
fof(f1093,plain,
! [X2,X0,X1] :
( relation_rng(sK10(X0,X1)) = sK8(powerset(relation_rng(X2)))
| ~ empty(X1)
| ~ empty(X2)
| ~ relation(X2) ),
inference(resolution,[],[f663,f531]) ).
fof(f1092,plain,
! [X2,X0,X1] :
( relation_rng(sK10(X0,X1)) = sK8(powerset(sK8(powerset(X2))))
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f663,f266]) ).
fof(f1091,plain,
! [X2,X0,X1] :
( relation_rng(sK10(X0,X1)) = sK8(powerset(X2))
| ~ empty(X1)
| ~ empty(X2) ),
inference(resolution,[],[f663,f159]) ).
fof(f1089,plain,
! [X2,X3,X0,X1] :
( relation_rng(sK10(X0,X1)) = relation_rng(sK10(X2,X3))
| ~ empty(X1)
| ~ empty(X3) ),
inference(resolution,[],[f663,f661]) ).
fof(f1088,plain,
! [X2,X0,X1] :
( relation_rng(X2) = relation_rng(sK10(X0,X1))
| ~ empty(X1)
| ~ empty(X2)
| ~ relation(X2) ),
inference(resolution,[],[f663,f530]) ).
fof(f663,plain,
! [X2,X0,X1] :
( ~ empty(X1)
| relation_rng(sK10(X2,X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f657,f395]) ).
fof(f658,plain,
! [X0,X1] :
( in(relation_rng(sK10(X1,X0)),powerset(X0))
| empty(powerset(X0)) ),
inference(resolution,[],[f654,f106]) ).
fof(f1081,plain,
! [X2,X0,X1] :
( ~ in(X0,sK11(X1,X2))
| empty(cartesian_product2(X1,X2))
| in(X0,cartesian_product2(X1,X2)) ),
inference(resolution,[],[f708,f106]) ).
fof(f708,plain,
! [X2,X0,X1] :
( element(X0,cartesian_product2(X1,X2))
| ~ in(X0,sK11(X1,X2)) ),
inference(resolution,[],[f216,f113]) ).
fof(f467,plain,
! [X0,X1] :
( ~ in(X1,ordered_pair(sK7(X1,X0),X0))
| ~ relation(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(resolution,[],[f127,f104]) ).
fof(f394,plain,
! [X0,X1] :
( ~ in(X0,sK9(X0,X1))
| X0 = X1
| in(sK9(X0,X1),X1) ),
inference(resolution,[],[f107,f104]) ).
fof(f386,plain,
! [X0,X1] :
( ~ in(X1,sK9(X0,X1))
| X0 = X1
| in(sK9(X0,X1),X0) ),
inference(resolution,[],[f107,f104]) ).
fof(f968,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| ~ empty(relation_dom(sK10(X0,empty_set))) ),
inference(subsumption_resolution,[],[f966,f201]) ).
fof(f966,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| ~ relation(sK10(X0,empty_set))
| ~ empty(relation_dom(sK10(X0,empty_set))) ),
inference(superposition,[],[f843,f677]) ).
fof(f960,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(relation_rng(X0)) ),
inference(resolution,[],[f843,f143]) ).
fof(f965,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| in(sK9(relation_rng(X0),X1),X1)
| relation_rng(X0) = X1 ),
inference(resolution,[],[f843,f107]) ).
fof(f964,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| relation_rng(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f843,f387]) ).
fof(f963,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| in(sK9(X1,relation_rng(X0)),X1)
| relation_rng(X0) = X1 ),
inference(resolution,[],[f843,f107]) ).
fof(f962,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| relation_rng(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f843,f395]) ).
fof(f959,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| relation_rng(relation_rng(X0)) = X1
| in(sK5(relation_rng(X0),X1),X1)
| ~ relation(relation_rng(X0)) ),
inference(resolution,[],[f843,f96]) ).
fof(f958,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| ~ in(X1,relation_rng(relation_rng(X0)))
| ~ relation(relation_rng(X0)) ),
inference(resolution,[],[f843,f127]) ).
fof(f843,plain,
! [X0,X1] :
( ~ in(X1,relation_rng(X0))
| ~ relation(X0)
| ~ empty(relation_dom(X0)) ),
inference(resolution,[],[f475,f111]) ).
fof(f947,plain,
! [X2,X3,X0,X1] :
( element(sK9(relation_rng_as_subset(X0,X1,X2),X3),X1)
| ~ relation_of2(X2,X0,X1)
| in(sK9(relation_rng_as_subset(X0,X1,X2),X3),X3)
| relation_rng_as_subset(X0,X1,X2) = X3 ),
inference(resolution,[],[f285,f107]) ).
fof(f946,plain,
! [X2,X3,X0,X1] :
( element(sK9(relation_rng_as_subset(X0,X1,X2),X3),X1)
| ~ relation_of2(X2,X0,X1)
| relation_rng_as_subset(X0,X1,X2) = X3
| ~ empty(X3) ),
inference(resolution,[],[f285,f387]) ).
fof(f945,plain,
! [X2,X3,X0,X1] :
( element(sK9(X0,relation_rng_as_subset(X1,X2,X3)),X2)
| ~ relation_of2(X3,X1,X2)
| in(sK9(X0,relation_rng_as_subset(X1,X2,X3)),X0)
| relation_rng_as_subset(X1,X2,X3) = X0 ),
inference(resolution,[],[f285,f107]) ).
fof(f944,plain,
! [X2,X3,X0,X1] :
( element(sK9(X0,relation_rng_as_subset(X1,X2,X3)),X2)
| ~ relation_of2(X3,X1,X2)
| relation_rng_as_subset(X1,X2,X3) = X0
| ~ empty(X0) ),
inference(resolution,[],[f285,f395]) ).
fof(f943,plain,
! [X2,X0,X1] :
( element(sK8(sK8(powerset(relation_rng_as_subset(X0,X1,X2)))),X1)
| ~ relation_of2(X2,X0,X1)
| empty(sK8(powerset(relation_rng_as_subset(X0,X1,X2)))) ),
inference(resolution,[],[f285,f251]) ).
fof(f942,plain,
! [X2,X0,X1] :
( element(sK8(relation_rng_as_subset(X0,X1,X2)),X1)
| ~ relation_of2(X2,X0,X1)
| empty(relation_rng_as_subset(X0,X1,X2)) ),
inference(resolution,[],[f285,f143]) ).
fof(f941,plain,
! [X2,X3,X0,X1] :
( element(ordered_pair(sK6(relation_rng_as_subset(X0,X1,X2),X3),sK5(relation_rng_as_subset(X0,X1,X2),X3)),X1)
| ~ relation_of2(X2,X0,X1)
| relation_rng(relation_rng_as_subset(X0,X1,X2)) = X3
| in(sK5(relation_rng_as_subset(X0,X1,X2),X3),X3)
| ~ relation(relation_rng_as_subset(X0,X1,X2)) ),
inference(resolution,[],[f285,f96]) ).
fof(f940,plain,
! [X2,X3,X0,X1] :
( element(ordered_pair(sK7(relation_rng_as_subset(X0,X1,X2),X3),X3),X1)
| ~ relation_of2(X2,X0,X1)
| ~ in(X3,relation_rng(relation_rng_as_subset(X0,X1,X2)))
| ~ relation(relation_rng_as_subset(X0,X1,X2)) ),
inference(resolution,[],[f285,f127]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,relation_rng_as_subset(X1,X2,X0))
| element(X3,X2)
| ~ relation_of2(X0,X1,X2) ),
inference(resolution,[],[f117,f120]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( relation(relation_rng_as_subset(X1,cartesian_product2(X2,X3),X0))
| ~ relation_of2(X0,X1,cartesian_product2(X2,X3)) ),
inference(resolution,[],[f117,f119]) ).
fof(f842,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ in(X1,relation_rng(X0))
| ~ in(relation_dom(X0),sK7(X0,X1)) ),
inference(resolution,[],[f475,f104]) ).
fof(f475,plain,
! [X0,X1] :
( in(sK7(X1,X0),relation_dom(X1))
| ~ relation(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(duplicate_literal_removal,[],[f466]) ).
fof(f466,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(sK7(X1,X0),relation_dom(X1))
| ~ relation(X1) ),
inference(resolution,[],[f127,f114]) ).
fof(f810,plain,
! [X2,X3,X0,X1] :
( ~ empty(X0)
| ~ relation_of2(X1,X2,X0)
| in(sK9(relation_rng_as_subset(X2,X0,X1),X3),X3)
| relation_rng_as_subset(X2,X0,X1) = X3 ),
inference(resolution,[],[f286,f107]) ).
fof(f809,plain,
! [X2,X3,X0,X1] :
( ~ empty(X0)
| ~ relation_of2(X1,X2,X0)
| relation_rng_as_subset(X2,X0,X1) = X3
| ~ empty(X3) ),
inference(resolution,[],[f286,f387]) ).
fof(f808,plain,
! [X2,X3,X0,X1] :
( ~ empty(X0)
| ~ relation_of2(X1,X2,X0)
| in(sK9(X3,relation_rng_as_subset(X2,X0,X1)),X3)
| relation_rng_as_subset(X2,X0,X1) = X3 ),
inference(resolution,[],[f286,f107]) ).
fof(f807,plain,
! [X2,X3,X0,X1] :
( ~ empty(X0)
| ~ relation_of2(X1,X2,X0)
| relation_rng_as_subset(X2,X0,X1) = X3
| ~ empty(X3) ),
inference(resolution,[],[f286,f395]) ).
fof(f806,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ~ relation_of2(X1,X2,X0)
| empty(sK8(powerset(relation_rng_as_subset(X2,X0,X1)))) ),
inference(resolution,[],[f286,f251]) ).
fof(f805,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ~ relation_of2(X1,X2,X0)
| empty(relation_rng_as_subset(X2,X0,X1)) ),
inference(resolution,[],[f286,f143]) ).
fof(f804,plain,
! [X2,X3,X0,X1] :
( ~ empty(X0)
| ~ relation_of2(X1,X2,X0)
| relation_rng(relation_rng_as_subset(X2,X0,X1)) = X3
| in(sK5(relation_rng_as_subset(X2,X0,X1),X3),X3)
| ~ relation(relation_rng_as_subset(X2,X0,X1)) ),
inference(resolution,[],[f286,f96]) ).
fof(f803,plain,
! [X2,X3,X0,X1] :
( ~ empty(X0)
| ~ relation_of2(X1,X2,X0)
| ~ in(X3,relation_rng(relation_rng_as_subset(X2,X0,X1)))
| ~ relation(relation_rng_as_subset(X2,X0,X1)) ),
inference(resolution,[],[f286,f127]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,relation_rng_as_subset(X1,X2,X0))
| ~ empty(X2)
| ~ relation_of2(X0,X1,X2) ),
inference(resolution,[],[f117,f123]) ).
fof(f719,plain,
! [X0] :
( ~ in(X0,sK2)
| empty(cartesian_product2(sK0,sK1))
| in(X0,cartesian_product2(sK0,sK1)) ),
inference(resolution,[],[f707,f106]) ).
fof(f738,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(sK10(X1,sK8(powerset(relation_rng(sK10(X2,X0)))))) ),
inference(resolution,[],[f662,f667]) ).
fof(f737,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(X1) = sK8(powerset(relation_rng(sK10(X2,X0))))
| ~ relation(X1)
| ~ empty(X1) ),
inference(resolution,[],[f662,f597]) ).
fof(f736,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(sK8(powerset(relation_rng(sK10(X1,X0)))))
| empty_set = relation_rng(sK8(powerset(relation_rng(sK10(X1,X0))))) ),
inference(resolution,[],[f662,f539]) ).
fof(f735,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(sK8(powerset(relation_rng(sK10(X1,X0)))))
| empty_set = sK8(powerset(relation_rng(sK8(powerset(relation_rng(sK10(X1,X0))))))) ),
inference(resolution,[],[f662,f537]) ).
fof(f734,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(sK8(powerset(relation_rng(sK10(X1,X0)))))))) ),
inference(resolution,[],[f662,f164]) ).
fof(f733,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(relation_rng(sK10(X1,X0)))))) ),
inference(resolution,[],[f662,f161]) ).
fof(f732,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| sK8(powerset(X1)) = sK8(powerset(relation_rng(sK10(X2,X0))))
| ~ empty(X1) ),
inference(resolution,[],[f662,f160]) ).
fof(f731,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| sK8(powerset(relation_rng(sK10(X2,X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f662,f110]) ).
fof(f730,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(relation_rng(sK10(X1,X0)))) ),
inference(resolution,[],[f662,f98]) ).
fof(f662,plain,
! [X0,X1] :
( empty(sK8(powerset(relation_rng(sK10(X1,X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f657,f251]) ).
fof(f728,plain,
! [X2,X0,X1] :
( element(sK9(relation_rng(sK10(X0,X1)),X2),X1)
| in(sK9(relation_rng(sK10(X0,X1)),X2),X2)
| relation_rng(sK10(X0,X1)) = X2 ),
inference(resolution,[],[f656,f107]) ).
fof(f727,plain,
! [X2,X0,X1] :
( element(sK9(relation_rng(sK10(X0,X1)),X2),X1)
| relation_rng(sK10(X0,X1)) = X2
| ~ empty(X2) ),
inference(resolution,[],[f656,f387]) ).
fof(f726,plain,
! [X2,X0,X1] :
( element(sK9(X0,relation_rng(sK10(X1,X2))),X2)
| in(sK9(X0,relation_rng(sK10(X1,X2))),X0)
| relation_rng(sK10(X1,X2)) = X0 ),
inference(resolution,[],[f656,f107]) ).
fof(f725,plain,
! [X2,X0,X1] :
( element(sK9(X0,relation_rng(sK10(X1,X2))),X2)
| relation_rng(sK10(X1,X2)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f656,f395]) ).
fof(f724,plain,
! [X0,X1] :
( element(sK8(sK8(powerset(relation_rng(sK10(X0,X1))))),X1)
| empty(sK8(powerset(relation_rng(sK10(X0,X1))))) ),
inference(resolution,[],[f656,f251]) ).
fof(f723,plain,
! [X0,X1] :
( element(sK8(relation_rng(sK10(X0,X1))),X1)
| empty(relation_rng(sK10(X0,X1))) ),
inference(resolution,[],[f656,f143]) ).
fof(f722,plain,
! [X2,X0,X1] :
( element(ordered_pair(sK6(relation_rng(sK10(X0,X1)),X2),sK5(relation_rng(sK10(X0,X1)),X2)),X1)
| relation_rng(relation_rng(sK10(X0,X1))) = X2
| in(sK5(relation_rng(sK10(X0,X1)),X2),X2)
| ~ relation(relation_rng(sK10(X0,X1))) ),
inference(resolution,[],[f656,f96]) ).
fof(f721,plain,
! [X2,X0,X1] :
( element(ordered_pair(sK7(relation_rng(sK10(X0,X1)),X2),X2),X1)
| ~ in(X2,relation_rng(relation_rng(sK10(X0,X1))))
| ~ relation(relation_rng(sK10(X0,X1))) ),
inference(resolution,[],[f656,f127]) ).
fof(f656,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(sK10(X2,X1)))
| element(X0,X1) ),
inference(resolution,[],[f654,f120]) ).
fof(f718,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| ~ empty(sK10(X0,empty_set)) ),
inference(subsumption_resolution,[],[f715,f201]) ).
fof(f715,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| ~ relation(sK10(X0,empty_set))
| ~ empty(sK10(X0,empty_set)) ),
inference(superposition,[],[f468,f677]) ).
fof(f707,plain,
! [X0] :
( element(X0,cartesian_product2(sK0,sK1))
| ~ in(X0,sK2) ),
inference(resolution,[],[f216,f89]) ).
fof(f677,plain,
! [X0] : empty_set = relation_rng(sK10(X0,empty_set)),
inference(resolution,[],[f667,f93]) ).
fof(f709,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,X1)
| element(X0,cartesian_product2(X2,X3))
| ~ relation_of2(X1,X2,X3) ),
inference(resolution,[],[f216,f122]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X3,X1,X2)
| ~ in(X0,X3)
| element(X0,cartesian_product2(X1,X2)) ),
inference(resolution,[],[f120,f118]) ).
fof(f684,plain,
! [X0] : empty_set = relation_rng(sK10(X0,empty_set)),
inference(forward_demodulation,[],[f682,f129]) ).
fof(f682,plain,
! [X0] : empty_set = relation_rng(sK10(X0,sK13)),
inference(resolution,[],[f667,f125]) ).
fof(f681,plain,
! [X0,X1] :
( empty_set = relation_rng(sK10(X0,sK8(powerset(relation_rng(X1)))))
| ~ empty(X1)
| ~ relation(X1) ),
inference(resolution,[],[f667,f531]) ).
fof(f679,plain,
! [X0,X1] :
( empty_set = relation_rng(sK10(X0,sK8(powerset(sK8(powerset(X1))))))
| ~ empty(X1) ),
inference(resolution,[],[f667,f266]) ).
fof(f676,plain,
! [X2,X0,X1] :
( empty_set = relation_rng(sK10(X0,relation_rng(sK10(X1,X2))))
| ~ empty(X2) ),
inference(resolution,[],[f667,f661]) ).
fof(f675,plain,
! [X0,X1] :
( empty_set = relation_rng(sK10(X0,relation_rng(X1)))
| ~ empty(X1)
| ~ relation(X1) ),
inference(resolution,[],[f667,f530]) ).
fof(f667,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = relation_rng(sK10(X1,X0)) ),
inference(resolution,[],[f661,f98]) ).
fof(f674,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(X1) = relation_rng(sK10(X2,X0))
| ~ relation(X1)
| ~ empty(X1) ),
inference(resolution,[],[f661,f597]) ).
fof(f673,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(relation_rng(sK10(X1,X0)))
| empty_set = relation_rng(relation_rng(sK10(X1,X0))) ),
inference(resolution,[],[f661,f539]) ).
fof(f672,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(relation_rng(sK10(X1,X0)))
| empty_set = sK8(powerset(relation_rng(relation_rng(sK10(X1,X0))))) ),
inference(resolution,[],[f661,f537]) ).
fof(f671,plain,
! [X0,X1] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(relation_rng(sK10(X1,X0)))))) ),
inference(resolution,[],[f661,f164]) ).
fof(f669,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| sK8(powerset(X1)) = relation_rng(sK10(X2,X0))
| ~ empty(X1) ),
inference(resolution,[],[f661,f160]) ).
fof(f668,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(sK10(X2,X0)) = X1
| ~ empty(X1) ),
inference(resolution,[],[f661,f110]) ).
fof(f661,plain,
! [X0,X1] :
( empty(relation_rng(sK10(X1,X0)))
| ~ empty(X0) ),
inference(resolution,[],[f657,f143]) ).
fof(f666,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| in(sK9(relation_rng(sK10(X1,X0)),X2),X2)
| relation_rng(sK10(X1,X0)) = X2 ),
inference(resolution,[],[f657,f107]) ).
fof(f665,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(sK10(X1,X0)) = X2
| ~ empty(X2) ),
inference(resolution,[],[f657,f387]) ).
fof(f664,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| in(sK9(X1,relation_rng(sK10(X2,X0))),X1)
| relation_rng(sK10(X2,X0)) = X1 ),
inference(resolution,[],[f657,f107]) ).
fof(f660,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| relation_rng(relation_rng(sK10(X1,X0))) = X2
| in(sK5(relation_rng(sK10(X1,X0)),X2),X2)
| ~ relation(relation_rng(sK10(X1,X0))) ),
inference(resolution,[],[f657,f96]) ).
fof(f659,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,relation_rng(relation_rng(sK10(X2,X0))))
| ~ relation(relation_rng(sK10(X2,X0))) ),
inference(resolution,[],[f657,f127]) ).
fof(f657,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_rng(sK10(X2,X0)))
| ~ empty(X0) ),
inference(resolution,[],[f654,f123]) ).
fof(f655,plain,
! [X2,X0,X1] : relation(relation_rng(sK10(X0,cartesian_product2(X1,X2)))),
inference(resolution,[],[f654,f119]) ).
fof(f654,plain,
! [X0,X1] : element(relation_rng(sK10(X0,X1)),powerset(X1)),
inference(subsumption_resolution,[],[f653,f112]) ).
fof(f653,plain,
! [X0,X1] :
( element(relation_rng(sK10(X0,X1)),powerset(X1))
| ~ relation_of2(sK10(X0,X1),X0,X1) ),
inference(superposition,[],[f117,f280]) ).
fof(f280,plain,
! [X0,X1] : relation_rng_as_subset(X0,X1,sK10(X0,X1)) = relation_rng(sK10(X0,X1)),
inference(resolution,[],[f116,f112]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( ~ empty(cartesian_product2(X1,X2))
| ~ relation_of2_as_subset(X0,X1,X2)
| ~ in(X3,X0) ),
inference(resolution,[],[f118,f123]) ).
fof(f645,plain,
! [X0] :
( ~ relation(sK8(powerset(relation_rng(X0))))
| empty_set = sK8(powerset(relation_rng(sK8(powerset(relation_rng(X0))))))
| ~ empty(X0)
| ~ relation(X0) ),
inference(resolution,[],[f537,f531]) ).
fof(f643,plain,
! [X0] :
( ~ relation(sK8(powerset(sK8(powerset(X0)))))
| empty_set = sK8(powerset(relation_rng(sK8(powerset(sK8(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f537,f266]) ).
fof(f642,plain,
! [X0] :
( ~ relation(sK8(powerset(X0)))
| empty_set = sK8(powerset(relation_rng(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f537,f159]) ).
fof(f640,plain,
! [X0] :
( ~ relation(relation_rng(X0))
| empty_set = sK8(powerset(relation_rng(relation_rng(X0))))
| ~ empty(X0)
| ~ relation(X0) ),
inference(resolution,[],[f537,f530]) ).
fof(f537,plain,
! [X0] :
( ~ empty(X0)
| ~ relation(X0)
| empty_set = sK8(powerset(relation_rng(X0))) ),
inference(resolution,[],[f530,f161]) ).
fof(f608,plain,
! [X0,X1] :
( ~ in(X1,sK9(X0,X1))
| ~ empty(X0)
| X0 = X1 ),
inference(resolution,[],[f395,f104]) ).
fof(f636,plain,
! [X0,X1] :
( relation_rng(X0) = sK8(powerset(relation_rng(X1)))
| ~ relation(X0)
| ~ empty(X0)
| ~ empty(X1)
| ~ relation(X1) ),
inference(resolution,[],[f597,f531]) ).
fof(f634,plain,
! [X0,X1] :
( relation_rng(X0) = sK8(powerset(sK8(powerset(X1))))
| ~ relation(X0)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f597,f266]) ).
fof(f633,plain,
! [X0,X1] :
( relation_rng(X0) = sK8(powerset(X1))
| ~ relation(X0)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f597,f159]) ).
fof(f631,plain,
! [X0,X1] :
( relation_rng(X0) = relation_rng(X1)
| ~ relation(X0)
| ~ empty(X0)
| ~ empty(X1)
| ~ relation(X1) ),
inference(resolution,[],[f597,f530]) ).
fof(f597,plain,
! [X0,X1] :
( ~ empty(X1)
| relation_rng(X0) = X1
| ~ relation(X0)
| ~ empty(X0) ),
inference(resolution,[],[f387,f468]) ).
fof(f591,plain,
! [X0,X1] :
( ~ in(X0,sK9(X0,X1))
| ~ empty(X1)
| X0 = X1 ),
inference(resolution,[],[f387,f104]) ).
fof(f613,plain,
! [X0] :
( element(sK9(X0,relation_rng(sK2)),sK1)
| ~ empty(X0)
| relation_rng(sK2) = X0 ),
inference(resolution,[],[f395,f290]) ).
fof(f615,plain,
! [X0,X1] :
( sK8(powerset(X1)) = X0
| ~ empty(X0)
| element(sK9(X0,sK8(powerset(X1))),X1) ),
inference(resolution,[],[f395,f214]) ).
fof(f614,plain,
! [X0,X1] :
( relation_rng(X1) = X0
| ~ empty(X0)
| ~ relation(X1)
| ~ empty(X1) ),
inference(resolution,[],[f395,f468]) ).
fof(f612,plain,
! [X2,X0,X1] :
( powerset(X1) = X0
| ~ empty(X0)
| ~ in(X2,sK9(X0,powerset(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f395,f158]) ).
fof(f611,plain,
! [X2,X0,X1] :
( powerset(X1) = X0
| ~ empty(X0)
| ~ in(X2,sK9(X0,powerset(X1)))
| element(X2,X1) ),
inference(resolution,[],[f395,f217]) ).
fof(f610,plain,
! [X2,X0,X1] :
( powerset(cartesian_product2(X1,X2)) = X0
| ~ empty(X0)
| relation(sK9(X0,powerset(cartesian_product2(X1,X2)))) ),
inference(resolution,[],[f395,f150]) ).
fof(f395,plain,
! [X0,X1] :
( in(sK9(X0,X1),X1)
| X0 = X1
| ~ empty(X0) ),
inference(resolution,[],[f107,f111]) ).
fof(f596,plain,
! [X0] :
( element(sK9(relation_rng(sK2),X0),sK1)
| ~ empty(X0)
| relation_rng(sK2) = X0 ),
inference(resolution,[],[f387,f290]) ).
fof(f598,plain,
! [X0,X1] :
( sK8(powerset(X0)) = X1
| ~ empty(X1)
| element(sK9(sK8(powerset(X0)),X1),X0) ),
inference(resolution,[],[f387,f214]) ).
fof(f595,plain,
! [X2,X0,X1] :
( powerset(X0) = X1
| ~ empty(X1)
| ~ in(X2,sK9(powerset(X0),X1))
| ~ empty(X0) ),
inference(resolution,[],[f387,f158]) ).
fof(f594,plain,
! [X2,X0,X1] :
( powerset(X0) = X1
| ~ empty(X1)
| ~ in(X2,sK9(powerset(X0),X1))
| element(X2,X0) ),
inference(resolution,[],[f387,f217]) ).
fof(f593,plain,
! [X2,X0,X1] :
( powerset(cartesian_product2(X0,X1)) = X2
| ~ empty(X2)
| relation(sK9(powerset(cartesian_product2(X0,X1)),X2)) ),
inference(resolution,[],[f387,f150]) ).
fof(f387,plain,
! [X0,X1] :
( in(sK9(X0,X1),X0)
| X0 = X1
| ~ empty(X1) ),
inference(resolution,[],[f107,f111]) ).
fof(f588,plain,
! [X0] :
( ~ empty(X0)
| ~ relation(X0)
| empty_set = sK8(powerset(relation_rng(X0))) ),
inference(resolution,[],[f531,f98]) ).
fof(f587,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(X0)
| sK8(powerset(relation_rng(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f531,f110]) ).
fof(f586,plain,
! [X0] :
( ~ empty(X0)
| ~ relation(X0)
| empty_set = sK8(powerset(sK8(powerset(relation_rng(X0))))) ),
inference(resolution,[],[f531,f161]) ).
fof(f585,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(X0)
| sK8(powerset(X1)) = sK8(powerset(relation_rng(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f531,f160]) ).
fof(f584,plain,
! [X0] :
( ~ empty(X0)
| ~ relation(X0)
| empty_set = sK8(powerset(sK8(powerset(sK8(powerset(relation_rng(X0))))))) ),
inference(resolution,[],[f531,f164]) ).
fof(f583,plain,
! [X0] :
( ~ empty(X0)
| ~ relation(X0)
| ~ relation(sK8(powerset(relation_rng(X0))))
| empty_set = relation_rng(sK8(powerset(relation_rng(X0)))) ),
inference(resolution,[],[f531,f539]) ).
fof(f531,plain,
! [X0] :
( empty(sK8(powerset(relation_rng(X0))))
| ~ empty(X0)
| ~ relation(X0) ),
inference(resolution,[],[f468,f251]) ).
fof(f561,plain,
! [X0,X1] :
( relation_rng(sK8(powerset(X0))) = X1
| in(sK5(sK8(powerset(X0)),X1),X1)
| ~ relation(sK8(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f96,f156]) ).
fof(f560,plain,
! [X0,X1] :
( relation_rng(sK8(powerset(X0))) = X1
| in(sK5(sK8(powerset(X0)),X1),X1)
| ~ relation(sK8(powerset(X0)))
| element(ordered_pair(sK6(sK8(powerset(X0)),X1),sK5(sK8(powerset(X0)),X1)),X0) ),
inference(resolution,[],[f96,f214]) ).
fof(f559,plain,
! [X0,X1] :
( relation_rng(relation_rng(X0)) = X1
| in(sK5(relation_rng(X0),X1),X1)
| ~ relation(relation_rng(X0))
| ~ relation(X0)
| ~ empty(X0) ),
inference(resolution,[],[f96,f468]) ).
fof(f558,plain,
! [X0] :
( relation_rng(relation_rng(sK2)) = X0
| in(sK5(relation_rng(sK2),X0),X0)
| ~ relation(relation_rng(sK2))
| element(ordered_pair(sK6(relation_rng(sK2),X0),sK5(relation_rng(sK2),X0)),sK1) ),
inference(resolution,[],[f96,f290]) ).
fof(f557,plain,
! [X2,X0,X1] :
( relation_rng(powerset(X0)) = X1
| in(sK5(powerset(X0),X1),X1)
| ~ relation(powerset(X0))
| ~ in(X2,ordered_pair(sK6(powerset(X0),X1),sK5(powerset(X0),X1)))
| ~ empty(X0) ),
inference(resolution,[],[f96,f158]) ).
fof(f556,plain,
! [X2,X0,X1] :
( relation_rng(powerset(X0)) = X1
| in(sK5(powerset(X0),X1),X1)
| ~ relation(powerset(X0))
| ~ in(X2,ordered_pair(sK6(powerset(X0),X1),sK5(powerset(X0),X1)))
| element(X2,X0) ),
inference(resolution,[],[f96,f217]) ).
fof(f555,plain,
! [X2,X0,X1] :
( relation_rng(powerset(cartesian_product2(X0,X1))) = X2
| in(sK5(powerset(cartesian_product2(X0,X1)),X2),X2)
| ~ relation(powerset(cartesian_product2(X0,X1)))
| relation(ordered_pair(sK6(powerset(cartesian_product2(X0,X1)),X2),sK5(powerset(cartesian_product2(X0,X1)),X2))) ),
inference(resolution,[],[f96,f150]) ).
fof(f543,plain,
! [X0] :
( ~ relation(sK8(powerset(sK8(powerset(X0)))))
| empty_set = relation_rng(sK8(powerset(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f539,f266]) ).
fof(f542,plain,
! [X0] :
( ~ relation(sK8(powerset(X0)))
| empty_set = relation_rng(sK8(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f539,f159]) ).
fof(f540,plain,
! [X0] :
( ~ relation(relation_rng(X0))
| empty_set = relation_rng(relation_rng(X0))
| ~ empty(X0)
| ~ relation(X0) ),
inference(resolution,[],[f539,f530]) ).
fof(f539,plain,
! [X0] :
( ~ empty(X0)
| ~ relation(X0)
| relation_rng(X0) = empty_set ),
inference(resolution,[],[f530,f98]) ).
fof(f538,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(X0)
| relation_rng(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f530,f110]) ).
fof(f536,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(X0)
| relation_rng(X0) = sK8(powerset(X1))
| ~ empty(X1) ),
inference(resolution,[],[f530,f160]) ).
fof(f535,plain,
! [X0] :
( ~ empty(X0)
| ~ relation(X0)
| empty_set = sK8(powerset(sK8(powerset(relation_rng(X0))))) ),
inference(resolution,[],[f530,f164]) ).
fof(f530,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0)
| ~ relation(X0) ),
inference(resolution,[],[f468,f143]) ).
fof(f533,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X0)
| in(sK9(relation_rng(X0),X1),X1)
| relation_rng(X0) = X1 ),
inference(resolution,[],[f468,f107]) ).
fof(f532,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X0)
| in(sK9(X1,relation_rng(X0)),X1)
| relation_rng(X0) = X1 ),
inference(resolution,[],[f468,f107]) ).
fof(f529,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X0)
| ~ in(X1,relation_rng(relation_rng(X0)))
| ~ relation(relation_rng(X0)) ),
inference(resolution,[],[f468,f127]) ).
fof(f468,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| ~ empty(X1) ),
inference(resolution,[],[f127,f111]) ).
fof(f510,plain,
! [X2,X0,X1] :
( relation_rng(powerset(X0)) = X1
| ~ in(sK5(powerset(X0),X1),X1)
| ~ relation(powerset(X0))
| empty(powerset(X0))
| ~ subset(ordered_pair(X2,sK5(powerset(X0),X1)),X0) ),
inference(resolution,[],[f97,f145]) ).
fof(f97,plain,
! [X3,X0,X1] :
( ~ in(ordered_pair(X3,sK5(X0,X1)),X0)
| relation_rng(X0) = X1
| ~ in(sK5(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f474,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(sK8(powerset(X1))))
| ~ relation(sK8(powerset(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f127,f156]) ).
fof(f473,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(sK8(powerset(X1))))
| ~ relation(sK8(powerset(X1)))
| element(ordered_pair(sK7(sK8(powerset(X1)),X0),X0),X1) ),
inference(resolution,[],[f127,f214]) ).
fof(f472,plain,
! [X0] :
( ~ in(X0,relation_rng(relation_rng(sK2)))
| ~ relation(relation_rng(sK2))
| element(ordered_pair(sK7(relation_rng(sK2),X0),X0),sK1) ),
inference(resolution,[],[f127,f290]) ).
fof(f471,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(powerset(X1)))
| ~ relation(powerset(X1))
| ~ in(X2,ordered_pair(sK7(powerset(X1),X0),X0))
| ~ empty(X1) ),
inference(resolution,[],[f127,f158]) ).
fof(f470,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(powerset(X1)))
| ~ relation(powerset(X1))
| ~ in(X2,ordered_pair(sK7(powerset(X1),X0),X0))
| element(X2,X1) ),
inference(resolution,[],[f127,f217]) ).
fof(f469,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(powerset(cartesian_product2(X1,X2))))
| ~ relation(powerset(cartesian_product2(X1,X2)))
| relation(ordered_pair(sK7(powerset(cartesian_product2(X1,X2)),X0),X0)) ),
inference(resolution,[],[f127,f150]) ).
fof(f127,plain,
! [X0,X5] :
( in(ordered_pair(sK7(X0,X5),X5),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK7(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f302,plain,
( element(sK8(sK8(powerset(relation_rng(sK2)))),sK1)
| empty(sK8(powerset(relation_rng(sK2)))) ),
inference(resolution,[],[f290,f251]) ).
fof(f422,plain,
! [X0,X1] :
( powerset(X1) = X0
| ~ in(sK9(X0,powerset(X1)),X0)
| empty(powerset(X1))
| ~ subset(sK9(X0,powerset(X1)),X1) ),
inference(resolution,[],[f108,f145]) ).
fof(f108,plain,
! [X0,X1] :
( ~ in(sK9(X0,X1),X1)
| X0 = X1
| ~ in(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK9(X0,X1),X1)
| ~ in(sK9(X0,X1),X0) )
& ( in(sK9(X0,X1),X1)
| in(sK9(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f77,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK9(X0,X1),X1)
| ~ in(sK9(X0,X1),X0) )
& ( in(sK9(X0,X1),X1)
| in(sK9(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f401,plain,
! [X0,X1] :
( in(sK9(sK8(powerset(X0)),X1),X1)
| sK8(powerset(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f107,f156]) ).
fof(f400,plain,
! [X0,X1] :
( in(sK9(sK8(powerset(X0)),X1),X1)
| sK8(powerset(X0)) = X1
| element(sK9(sK8(powerset(X0)),X1),X0) ),
inference(resolution,[],[f107,f214]) ).
fof(f399,plain,
! [X0] :
( in(sK9(relation_rng(sK2),X0),X0)
| relation_rng(sK2) = X0
| element(sK9(relation_rng(sK2),X0),sK1) ),
inference(resolution,[],[f107,f290]) ).
fof(f398,plain,
! [X2,X0,X1] :
( in(sK9(powerset(X0),X1),X1)
| powerset(X0) = X1
| ~ in(X2,sK9(powerset(X0),X1))
| ~ empty(X0) ),
inference(resolution,[],[f107,f158]) ).
fof(f397,plain,
! [X2,X0,X1] :
( in(sK9(powerset(X0),X1),X1)
| powerset(X0) = X1
| ~ in(X2,sK9(powerset(X0),X1))
| element(X2,X0) ),
inference(resolution,[],[f107,f217]) ).
fof(f396,plain,
! [X2,X0,X1] :
( in(sK9(powerset(cartesian_product2(X0,X1)),X2),X2)
| powerset(cartesian_product2(X0,X1)) = X2
| relation(sK9(powerset(cartesian_product2(X0,X1)),X2)) ),
inference(resolution,[],[f107,f150]) ).
fof(f393,plain,
! [X0,X1] :
( in(sK9(X0,sK8(powerset(X1))),X0)
| sK8(powerset(X1)) = X0
| ~ empty(X1) ),
inference(resolution,[],[f107,f156]) ).
fof(f392,plain,
! [X0,X1] :
( in(sK9(X0,sK8(powerset(X1))),X0)
| sK8(powerset(X1)) = X0
| element(sK9(X0,sK8(powerset(X1))),X1) ),
inference(resolution,[],[f107,f214]) ).
fof(f391,plain,
! [X0] :
( in(sK9(X0,relation_rng(sK2)),X0)
| relation_rng(sK2) = X0
| element(sK9(X0,relation_rng(sK2)),sK1) ),
inference(resolution,[],[f107,f290]) ).
fof(f390,plain,
! [X2,X0,X1] :
( in(sK9(X0,powerset(X1)),X0)
| powerset(X1) = X0
| ~ in(X2,sK9(X0,powerset(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f107,f158]) ).
fof(f389,plain,
! [X2,X0,X1] :
( in(sK9(X0,powerset(X1)),X0)
| powerset(X1) = X0
| ~ in(X2,sK9(X0,powerset(X1)))
| element(X2,X1) ),
inference(resolution,[],[f107,f217]) ).
fof(f388,plain,
! [X2,X0,X1] :
( in(sK9(X0,powerset(cartesian_product2(X1,X2))),X0)
| powerset(cartesian_product2(X1,X2)) = X0
| relation(sK9(X0,powerset(cartesian_product2(X1,X2)))) ),
inference(resolution,[],[f107,f150]) ).
fof(f107,plain,
! [X0,X1] :
( in(sK9(X0,X1),X1)
| in(sK9(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f301,plain,
( element(sK8(relation_rng(sK2)),sK1)
| empty(relation_rng(sK2)) ),
inference(resolution,[],[f290,f143]) ).
fof(f314,plain,
( ~ in(powerset(sK1),relation_rng(sK2))
| ~ spl14_7 ),
inference(resolution,[],[f306,f104]) ).
fof(f306,plain,
( in(relation_rng(sK2),powerset(sK1))
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f292,plain,
( empty(powerset(sK1))
| in(relation_rng(sK2),powerset(sK1)) ),
inference(resolution,[],[f289,f106]) ).
fof(f290,plain,
! [X0] :
( ~ in(X0,relation_rng(sK2))
| element(X0,sK1) ),
inference(resolution,[],[f289,f120]) ).
fof(f291,plain,
! [X0] :
( ~ empty(sK1)
| ~ in(X0,relation_rng(sK2)) ),
inference(resolution,[],[f289,f123]) ).
fof(f289,plain,
element(relation_rng(sK2),powerset(sK1)),
inference(subsumption_resolution,[],[f288,f151]) ).
fof(f288,plain,
( element(relation_rng(sK2),powerset(sK1))
| ~ relation_of2(sK2,sK0,sK1) ),
inference(superposition,[],[f117,f281]) ).
fof(f117,plain,
! [X2,X0,X1] :
( element(relation_rng_as_subset(X0,X1,X2),powerset(X1))
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( element(relation_rng_as_subset(X0,X1,X2),powerset(X1))
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> element(relation_rng_as_subset(X0,X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relset_1) ).
fof(f263,plain,
! [X0] :
( ~ in(X0,sK8(sK8(powerset(X0))))
| empty(sK8(powerset(X0))) ),
inference(resolution,[],[f251,f104]) ).
fof(f275,plain,
! [X0,X1] :
( ~ empty(X0)
| sK8(powerset(sK8(powerset(X0)))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f266,f110]) ).
fof(f274,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(sK8(powerset(X0)))))) ),
inference(resolution,[],[f266,f161]) ).
fof(f273,plain,
! [X0,X1] :
( ~ empty(X0)
| sK8(powerset(X1)) = sK8(powerset(sK8(powerset(X0))))
| ~ empty(X1) ),
inference(resolution,[],[f266,f160]) ).
fof(f272,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(sK8(powerset(sK8(powerset(X0)))))))) ),
inference(resolution,[],[f266,f164]) ).
fof(f266,plain,
! [X0] :
( empty(sK8(powerset(sK8(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f251,f156]) ).
fof(f269,plain,
! [X0,X1] :
( empty(sK8(powerset(powerset(X0))))
| ~ in(X1,sK8(sK8(powerset(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f251,f158]) ).
fof(f268,plain,
! [X0,X1] :
( empty(sK8(powerset(powerset(X0))))
| ~ in(X1,sK8(sK8(powerset(powerset(X0)))))
| element(X1,X0) ),
inference(resolution,[],[f251,f217]) ).
fof(f267,plain,
! [X0,X1] :
( empty(sK8(powerset(powerset(cartesian_product2(X0,X1)))))
| relation(sK8(sK8(powerset(powerset(cartesian_product2(X0,X1)))))) ),
inference(resolution,[],[f251,f150]) ).
fof(f265,plain,
! [X0] :
( empty(sK8(powerset(sK8(powerset(X0)))))
| element(sK8(sK8(powerset(sK8(powerset(X0))))),X0) ),
inference(resolution,[],[f251,f214]) ).
fof(f262,plain,
! [X2,X0,X1] :
( in(X0,relation_rng(powerset(X1)))
| ~ relation(powerset(X1))
| empty(powerset(X1))
| ~ subset(ordered_pair(X2,X0),X1) ),
inference(resolution,[],[f115,f145]) ).
fof(f261,plain,
! [X0,X1] : unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f103,f231]) ).
fof(f260,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f166,f231]) ).
fof(f259,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f169,f231]) ).
fof(f258,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f231,f231]) ).
fof(f257,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),
inference(superposition,[],[f231,f169]) ).
fof(f256,plain,
! [X0,X1] : ordered_pair(singleton(X1),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X1)),ordered_pair(X1,X0)),
inference(superposition,[],[f231,f166]) ).
fof(f255,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f231,f103]) ).
fof(f231,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f166,f102]) ).
fof(f252,plain,
! [X0,X1] :
( ~ subset(powerset(X0),X1)
| empty(powerset(X1))
| empty(powerset(X0))
| ~ subset(powerset(X1),X0) ),
inference(resolution,[],[f224,f145]) ).
fof(f224,plain,
! [X0,X1] :
( ~ in(powerset(X0),X1)
| ~ subset(X1,X0)
| empty(powerset(X0)) ),
inference(resolution,[],[f145,f104]) ).
fof(f249,plain,
! [X0,X1] :
( empty(sK8(powerset(powerset(X0))))
| ~ empty(X0)
| ~ in(X1,sK8(sK8(powerset(powerset(X0))))) ),
inference(resolution,[],[f219,f123]) ).
fof(f248,plain,
! [X0,X1] :
( empty(sK8(powerset(powerset(X0))))
| element(X1,X0)
| ~ in(X1,sK8(sK8(powerset(powerset(X0))))) ),
inference(resolution,[],[f219,f120]) ).
fof(f247,plain,
! [X0,X1] :
( empty(sK8(powerset(powerset(cartesian_product2(X0,X1)))))
| relation(sK8(sK8(powerset(powerset(cartesian_product2(X0,X1)))))) ),
inference(resolution,[],[f219,f119]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ in(X2,powerset(X1))
| ~ in(X0,X2)
| element(X0,X1) ),
inference(resolution,[],[f120,f105]) ).
fof(f242,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),
inference(superposition,[],[f103,f169]) ).
fof(f241,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f166,f169]) ).
fof(f240,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f169,f169]) ).
fof(f239,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X1)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X1,X0)),
inference(superposition,[],[f169,f166]) ).
fof(f238,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),
inference(superposition,[],[f169,f103]) ).
fof(f237,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f169,f102]) ).
fof(f236,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f169,f102]) ).
fof(f169,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f103,f102]) ).
fof(f235,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f102,f166]) ).
fof(f234,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f102,f166]) ).
fof(f233,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X1)) = unordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f103,f166]) ).
fof(f232,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f166,f102]) ).
fof(f230,plain,
! [X0,X1] : ordered_pair(singleton(X1),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X1,X0),singleton(singleton(X1))),
inference(superposition,[],[f166,f166]) ).
fof(f229,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),
inference(superposition,[],[f166,f103]) ).
fof(f166,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X1,X0),singleton(X0)),
inference(superposition,[],[f103,f102]) ).
fof(f226,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(powerset(X1)))
| ~ relation(powerset(X1))
| empty(powerset(X1))
| ~ subset(ordered_pair(X0,X2),X1) ),
inference(resolution,[],[f114,f145]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X0,X1),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f145,plain,
! [X0,X1] :
( in(X1,powerset(X0))
| empty(powerset(X0))
| ~ subset(X1,X0) ),
inference(resolution,[],[f106,f109]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ subset(X2,X1)
| ~ in(X0,X2)
| element(X0,X1) ),
inference(resolution,[],[f120,f109]) ).
fof(f210,plain,
! [X0] :
( empty_set = sK8(powerset(sK8(powerset(sK8(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f164,f159]) ).
fof(f164,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK8(powerset(sK8(powerset(X0)))) ),
inference(resolution,[],[f161,f159]) ).
fof(f206,plain,
! [X0,X1] :
( sK8(powerset(X0)) = sK8(powerset(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f160,f159]) ).
fof(f160,plain,
! [X0,X1] :
( ~ empty(X1)
| sK8(powerset(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f159,f110]) ).
fof(f201,plain,
! [X0,X1] : relation(sK10(X0,X1)),
inference(resolution,[],[f200,f112]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ relation_of2(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f195,f122]) ).
fof(f199,plain,
! [X0,X1] : relation(sK11(X0,X1)),
inference(resolution,[],[f195,f113]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ in(X2,powerset(X0))
| ~ in(X1,X2)
| ~ empty(X0) ),
inference(resolution,[],[f123,f105]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ in(X1,X2)
| ~ empty(X0) ),
inference(resolution,[],[f123,f109]) ).
fof(f175,plain,
( ~ in(powerset(empty_set),empty_set)
| empty(powerset(empty_set)) ),
inference(superposition,[],[f146,f162]) ).
fof(f179,plain,
( empty(powerset(empty_set))
| in(empty_set,powerset(empty_set)) ),
inference(resolution,[],[f177,f106]) ).
fof(f177,plain,
element(empty_set,powerset(empty_set)),
inference(superposition,[],[f99,f162]) ).
fof(f176,plain,
( in(empty_set,powerset(empty_set))
| empty(powerset(empty_set)) ),
inference(superposition,[],[f143,f162]) ).
fof(f162,plain,
empty_set = sK8(powerset(empty_set)),
inference(resolution,[],[f161,f93]) ).
fof(f172,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f102,f103]) ).
fof(f171,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f102,f103]) ).
fof(f170,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f103,f102]) ).
fof(f167,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X1,X0),singleton(X0)),
inference(superposition,[],[f103,f102]) ).
fof(f103,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f165,plain,
empty_set = sK8(powerset(empty_set)),
inference(forward_demodulation,[],[f163,f129]) ).
fof(f163,plain,
empty_set = sK8(powerset(sK13)),
inference(resolution,[],[f161,f125]) ).
fof(f161,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK8(powerset(X0)) ),
inference(resolution,[],[f159,f98]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ in(X0,powerset(cartesian_product2(X1,X2)))
| relation(X0) ),
inference(resolution,[],[f119,f105]) ).
fof(f122,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f153,plain,
! [X0,X1] : relation(cartesian_product2(X0,X1)),
inference(resolution,[],[f149,f100]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ subset(X0,cartesian_product2(X1,X2))
| relation(X0) ),
inference(resolution,[],[f119,f109]) ).
fof(f152,plain,
! [X0,X1] : relation_of2(sK11(X0,X1),X0,X1),
inference(resolution,[],[f121,f113]) ).
fof(f148,plain,
! [X0,X1] : relation(sK8(powerset(cartesian_product2(X0,X1)))),
inference(resolution,[],[f119,f99]) ).
fof(f146,plain,
! [X0] :
( ~ in(X0,sK8(X0))
| empty(X0) ),
inference(resolution,[],[f143,f104]) ).
fof(f110,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f109,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f102,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f91,plain,
( sK1 != relation_rng_as_subset(sK0,sK1,sK2)
| in(sK3,sK1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f113,plain,
! [X0,X1] : relation_of2_as_subset(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : relation_of2_as_subset(sK11(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f20,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X2] : relation_of2_as_subset(X2,X0,X1)
=> relation_of2_as_subset(sK11(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f20,axiom,
! [X0,X1] :
? [X2] : relation_of2_as_subset(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f112,plain,
! [X0,X1] : relation_of2(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] : relation_of2(sK10(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f18,f80]) ).
fof(f80,plain,
! [X0,X1] :
( ? [X2] : relation_of2(X2,X0,X1)
=> relation_of2(sK10(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f18,axiom,
! [X0,X1] :
? [X2] : relation_of2(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f105,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f104,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,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(f111,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f129,plain,
empty_set = sK13,
inference(resolution,[],[f98,f125]) ).
fof(f98,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f101,plain,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
fof(f100,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f125,plain,
empty(sK13),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
empty(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f23,f87]) ).
fof(f87,plain,
( ? [X0] : empty(X0)
=> empty(sK13) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f124,plain,
~ empty(sK12),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
~ empty(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f24,f85]) ).
fof(f85,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK12) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f93,plain,
empty(empty_set),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f126,plain,
! [X0,X6,X5] :
( in(X5,relation_rng(X0))
| ~ in(ordered_pair(X6,X5),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f90,plain,
! [X5] :
( sK1 = relation_rng_as_subset(sK0,sK1,sK2)
| in(ordered_pair(sK4(X5),X5),sK2)
| ~ in(X5,sK1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f92,plain,
! [X4] :
( sK1 != relation_rng_as_subset(sK0,sK1,sK2)
| ~ in(ordered_pair(X4,sK3),sK2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f1979,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_25
| spl14_35 ),
inference(avatar_contradiction_clause,[],[f1978]) ).
fof(f1978,plain,
( $false
| ~ spl14_5
| ~ spl14_6
| ~ spl14_25
| spl14_35 ),
inference(global_subsumption,[],[f295,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f984,f995,f996,f997,f1001,f1003,f1004,f1006,f986,f1012,f1013,f1014,f1015,f1016,f1018,f1020,f1021,f1023,f386,f993,f1010,f999,f998,f1047,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f699,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1241,f1263,f1264,f1269,f1272,f1243,f1281,f1282,f1284,f1287,f1290,f1291,f1296,f1261,f1279,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1266,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1265,f1363,f1364,f1365,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1367,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1273,f514,f1275,f1409,f1405,f1406,f1407,f1283,f1410,f1411,f1412,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1414,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1293,f1440,f1436,f1437,f1438,f549,f541,f1236,f1235,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f1548,f1549,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f1585,f1586,f1602,f1609,f1610,f1611,f1615,f1617,f1619,f1622,f1624,f1625,f1626,f1605,f1634,f1635,f1636,f1640,f1642,f1644,f1647,f1649,f1650,f1651,f1607,f1632,f553,f1676,f1678,f1545,f1582,f1853,f1854,f1844,f1852,f1834,f1855,f1652,f1627,f1956,f1297,f1963,f618,f601,f298]) ).
fof(f1297,plain,
( empty(sK1)
| in(sK9(empty_set,relation_rng(sK2)),sK1)
| ~ spl14_25
| spl14_35 ),
inference(resolution,[],[f1296,f106]) ).
fof(f1956,plain,
( ~ empty(sK1)
| ~ spl14_25
| spl14_35 ),
inference(subsumption_resolution,[],[f1955,f1047]) ).
fof(f1955,plain,
( empty_set = relation_rng(sK2)
| ~ empty(sK1)
| ~ spl14_25 ),
inference(forward_demodulation,[],[f1389,f281]) ).
fof(f1389,plain,
( ~ empty(sK1)
| empty_set = relation_rng_as_subset(sK0,sK1,sK2)
| ~ spl14_25 ),
inference(resolution,[],[f1273,f151]) ).
fof(f1627,plain,
( ! [X0] :
( empty(sK1)
| in(sK5(sK10(X0,empty_set),relation_rng(sK2)),sK1) )
| ~ spl14_25
| spl14_35 ),
inference(resolution,[],[f1626,f106]) ).
fof(f1652,plain,
( ! [X0] :
( empty(sK1)
| in(sK5(sK11(X0,empty_set),relation_rng(sK2)),sK1) )
| ~ spl14_25
| spl14_35 ),
inference(resolution,[],[f1651,f106]) ).
fof(f1855,plain,
( empty(sK1)
| in(sK5(sK2,empty_set),sK1)
| ~ spl14_25
| spl14_35 ),
inference(resolution,[],[f1852,f106]) ).
fof(f1834,plain,
( ! [X0] :
( ~ in(relation_dom(X0),sK6(X0,empty_set))
| relation_rng(X0) = empty_set
| ~ relation(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1545,f104]) ).
fof(f1852,plain,
( element(sK5(sK2,empty_set),sK1)
| ~ spl14_25
| spl14_35 ),
inference(subsumption_resolution,[],[f1851,f1047]) ).
fof(f1851,plain,
( empty_set = relation_rng(sK2)
| element(sK5(sK2,empty_set),sK1)
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1839,f198]) ).
fof(f1839,plain,
( ~ relation(sK2)
| empty_set = relation_rng(sK2)
| element(sK5(sK2,empty_set),sK1)
| ~ spl14_25 ),
inference(resolution,[],[f1582,f290]) ).
fof(f1844,plain,
( ! [X0] :
( ~ relation(X0)
| relation_rng(X0) = empty_set
| ~ in(relation_rng(X0),sK5(X0,empty_set)) )
| ~ spl14_25 ),
inference(resolution,[],[f1582,f104]) ).
fof(f1854,plain,
( ! [X0,X1] :
( empty_set = relation_rng(sK11(X0,X1))
| element(sK5(sK11(X0,X1),empty_set),X1) )
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1842,f199]) ).
fof(f1842,plain,
( ! [X0,X1] :
( ~ relation(sK11(X0,X1))
| empty_set = relation_rng(sK11(X0,X1))
| element(sK5(sK11(X0,X1),empty_set),X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1582,f1168]) ).
fof(f1853,plain,
( ! [X0,X1] :
( empty_set = relation_rng(sK10(X0,X1))
| element(sK5(sK10(X0,X1),empty_set),X1) )
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1840,f201]) ).
fof(f1840,plain,
( ! [X0,X1] :
( ~ relation(sK10(X0,X1))
| empty_set = relation_rng(sK10(X0,X1))
| element(sK5(sK10(X0,X1),empty_set),X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1582,f656]) ).
fof(f1582,plain,
( ! [X0] :
( in(sK5(X0,empty_set),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = empty_set )
| ~ spl14_25 ),
inference(resolution,[],[f564,f699]) ).
fof(f1545,plain,
( ! [X0] :
( in(sK6(X0,empty_set),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = empty_set )
| ~ spl14_25 ),
inference(resolution,[],[f563,f699]) ).
fof(f1632,plain,
( ! [X0,X1] :
( ~ in(X0,sK5(sK11(X1,empty_set),X0))
| empty_set = X0 )
| ~ spl14_25 ),
inference(resolution,[],[f1605,f104]) ).
fof(f1607,plain,
( ! [X0,X1] :
( ~ in(X0,sK5(sK10(X1,empty_set),X0))
| empty_set = X0 )
| ~ spl14_25 ),
inference(resolution,[],[f1602,f104]) ).
fof(f1651,plain,
( ! [X0] : element(sK5(sK11(X0,empty_set),relation_rng(sK2)),sK1)
| ~ spl14_25
| spl14_35 ),
inference(subsumption_resolution,[],[f1639,f1047]) ).
fof(f1639,plain,
( ! [X0] :
( empty_set = relation_rng(sK2)
| element(sK5(sK11(X0,empty_set),relation_rng(sK2)),sK1) )
| ~ spl14_25 ),
inference(resolution,[],[f1605,f290]) ).
fof(f1650,plain,
( ! [X0] :
( empty_set = sK9(empty_set,powerset(X0))
| empty_set = powerset(X0)
| ~ empty(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1605,f1283]) ).
fof(f1649,plain,
( ! [X0] :
( empty_set = sK9(powerset(X0),empty_set)
| empty_set = powerset(X0)
| ~ empty(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1605,f1265]) ).
fof(f1647,plain,
( ! [X0,X1] :
( empty_set = sK8(powerset(X0))
| element(sK5(sK11(X1,empty_set),sK8(powerset(X0))),X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1605,f214]) ).
fof(f1644,plain,
( ! [X2,X3,X0,X1] :
( relation_rng_as_subset(X0,X1,X2) = empty_set
| element(sK5(sK11(X3,empty_set),relation_rng_as_subset(X0,X1,X2)),X1)
| ~ relation_of2(X2,X0,X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1605,f285]) ).
fof(f1642,plain,
( ! [X2,X0,X1] :
( empty_set = relation_rng(sK11(X0,X1))
| element(sK5(sK11(X2,empty_set),relation_rng(sK11(X0,X1))),X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1605,f1168]) ).
fof(f1640,plain,
( ! [X2,X0,X1] :
( empty_set = relation_rng(sK10(X0,X1))
| element(sK5(sK11(X2,empty_set),relation_rng(sK10(X0,X1))),X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1605,f656]) ).
fof(f1636,plain,
( ! [X2,X0,X1] :
( empty_set = powerset(X0)
| ~ in(X1,sK5(sK11(X2,empty_set),powerset(X0)))
| ~ empty(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1605,f158]) ).
fof(f1635,plain,
( ! [X2,X0,X1] :
( empty_set = powerset(X0)
| ~ in(X1,sK5(sK11(X2,empty_set),powerset(X0)))
| element(X1,X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1605,f217]) ).
fof(f1634,plain,
( ! [X2,X0,X1] :
( powerset(cartesian_product2(X0,X1)) = empty_set
| relation(sK5(sK11(X2,empty_set),powerset(cartesian_product2(X0,X1)))) )
| ~ spl14_25 ),
inference(resolution,[],[f1605,f150]) ).
fof(f1605,plain,
( ! [X0,X1] :
( in(sK5(sK11(X0,empty_set),X1),X1)
| empty_set = X1 )
| ~ spl14_25 ),
inference(forward_demodulation,[],[f1604,f1209]) ).
fof(f1604,plain,
( ! [X0,X1] :
( in(sK5(sK11(X0,empty_set),X1),X1)
| relation_rng(sK11(X0,empty_set)) = X1 )
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1603,f199]) ).
fof(f1603,plain,
( ! [X0,X1] :
( in(sK5(sK11(X0,empty_set),X1),X1)
| ~ relation(sK11(X0,empty_set))
| relation_rng(sK11(X0,empty_set)) = X1 )
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1589,f699]) ).
fof(f1589,plain,
! [X0,X1] :
( in(sK5(sK11(X0,empty_set),X1),empty_set)
| in(sK5(sK11(X0,empty_set),X1),X1)
| ~ relation(sK11(X0,empty_set))
| relation_rng(sK11(X0,empty_set)) = X1 ),
inference(superposition,[],[f564,f1209]) ).
fof(f1626,plain,
( ! [X0] : element(sK5(sK10(X0,empty_set),relation_rng(sK2)),sK1)
| ~ spl14_25
| spl14_35 ),
inference(subsumption_resolution,[],[f1614,f1047]) ).
fof(f1614,plain,
( ! [X0] :
( empty_set = relation_rng(sK2)
| element(sK5(sK10(X0,empty_set),relation_rng(sK2)),sK1) )
| ~ spl14_25 ),
inference(resolution,[],[f1602,f290]) ).
fof(f1625,plain,
( ! [X0] :
( empty_set = sK9(empty_set,powerset(X0))
| empty_set = powerset(X0)
| ~ empty(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1602,f1283]) ).
fof(f1624,plain,
( ! [X0] :
( empty_set = sK9(powerset(X0),empty_set)
| empty_set = powerset(X0)
| ~ empty(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1602,f1265]) ).
fof(f1622,plain,
( ! [X0,X1] :
( empty_set = sK8(powerset(X0))
| element(sK5(sK10(X1,empty_set),sK8(powerset(X0))),X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1602,f214]) ).
fof(f1619,plain,
( ! [X2,X3,X0,X1] :
( relation_rng_as_subset(X0,X1,X2) = empty_set
| element(sK5(sK10(X3,empty_set),relation_rng_as_subset(X0,X1,X2)),X1)
| ~ relation_of2(X2,X0,X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1602,f285]) ).
fof(f1617,plain,
( ! [X2,X0,X1] :
( empty_set = relation_rng(sK11(X0,X1))
| element(sK5(sK10(X2,empty_set),relation_rng(sK11(X0,X1))),X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1602,f1168]) ).
fof(f1615,plain,
( ! [X2,X0,X1] :
( empty_set = relation_rng(sK10(X0,X1))
| element(sK5(sK10(X2,empty_set),relation_rng(sK10(X0,X1))),X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1602,f656]) ).
fof(f1611,plain,
( ! [X2,X0,X1] :
( empty_set = powerset(X0)
| ~ in(X1,sK5(sK10(X2,empty_set),powerset(X0)))
| ~ empty(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1602,f158]) ).
fof(f1610,plain,
( ! [X2,X0,X1] :
( empty_set = powerset(X0)
| ~ in(X1,sK5(sK10(X2,empty_set),powerset(X0)))
| element(X1,X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1602,f217]) ).
fof(f1609,plain,
( ! [X2,X0,X1] :
( powerset(cartesian_product2(X0,X1)) = empty_set
| relation(sK5(sK10(X2,empty_set),powerset(cartesian_product2(X0,X1)))) )
| ~ spl14_25 ),
inference(resolution,[],[f1602,f150]) ).
fof(f1602,plain,
( ! [X0,X1] :
( in(sK5(sK10(X0,empty_set),X1),X1)
| empty_set = X1 )
| ~ spl14_25 ),
inference(forward_demodulation,[],[f1601,f677]) ).
fof(f1601,plain,
( ! [X0,X1] :
( in(sK5(sK10(X0,empty_set),X1),X1)
| relation_rng(sK10(X0,empty_set)) = X1 )
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1600,f201]) ).
fof(f1600,plain,
( ! [X0,X1] :
( in(sK5(sK10(X0,empty_set),X1),X1)
| ~ relation(sK10(X0,empty_set))
| relation_rng(sK10(X0,empty_set)) = X1 )
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1588,f699]) ).
fof(f1588,plain,
! [X0,X1] :
( in(sK5(sK10(X0,empty_set),X1),empty_set)
| in(sK5(sK10(X0,empty_set),X1),X1)
| ~ relation(sK10(X0,empty_set))
| relation_rng(sK10(X0,empty_set)) = X1 ),
inference(superposition,[],[f564,f677]) ).
fof(f1586,plain,
( ! [X0,X1] :
( in(sK5(X0,sK9(empty_set,powerset(X1))),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = sK9(empty_set,powerset(X1))
| powerset(X1) = empty_set
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f564,f1283]) ).
fof(f1585,plain,
( ! [X0,X1] :
( in(sK5(X0,sK9(powerset(X1),empty_set)),relation_rng(X0))
| ~ relation(X0)
| relation_rng(X0) = sK9(powerset(X1),empty_set)
| powerset(X1) = empty_set
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f564,f1265]) ).
fof(f1549,plain,
( ! [X0,X1] :
( in(sK6(X0,sK9(empty_set,powerset(X1))),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = sK9(empty_set,powerset(X1))
| powerset(X1) = empty_set
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f563,f1283]) ).
fof(f1548,plain,
( ! [X0,X1] :
( in(sK6(X0,sK9(powerset(X1),empty_set)),relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = sK9(powerset(X1),empty_set)
| powerset(X1) = empty_set
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f563,f1265]) ).
fof(f1235,plain,
( ! [X0] :
( ~ in(X0,relation_rng(empty_set))
| ~ relation(empty_set) )
| ~ spl14_25 ),
inference(resolution,[],[f699,f127]) ).
fof(f1236,plain,
( ! [X0] :
( relation_rng(empty_set) = X0
| in(sK5(empty_set,X0),X0)
| ~ relation(empty_set) )
| ~ spl14_25 ),
inference(resolution,[],[f699,f96]) ).
fof(f1438,plain,
( ! [X0,X1] :
( empty_set = sK8(powerset(powerset(X0)))
| ~ empty(X0)
| ~ in(X1,sK9(empty_set,sK8(powerset(powerset(X0))))) )
| ~ spl14_25 ),
inference(resolution,[],[f1293,f123]) ).
fof(f1437,plain,
( ! [X0,X1] :
( empty_set = sK8(powerset(powerset(X0)))
| element(X1,X0)
| ~ in(X1,sK9(empty_set,sK8(powerset(powerset(X0))))) )
| ~ spl14_25 ),
inference(resolution,[],[f1293,f120]) ).
fof(f1436,plain,
( ! [X0,X1] :
( empty_set = sK8(powerset(powerset(cartesian_product2(X0,X1))))
| relation(sK9(empty_set,sK8(powerset(powerset(cartesian_product2(X0,X1)))))) )
| ~ spl14_25 ),
inference(resolution,[],[f1293,f119]) ).
fof(f1440,plain,
( ! [X0] :
( empty_set = sK8(powerset(X0))
| in(sK9(empty_set,sK8(powerset(X0))),X0) )
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1435,f161]) ).
fof(f1435,plain,
( ! [X0] :
( empty_set = sK8(powerset(X0))
| empty(X0)
| in(sK9(empty_set,sK8(powerset(X0))),X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1293,f106]) ).
fof(f1293,plain,
( ! [X0] :
( element(sK9(empty_set,sK8(powerset(X0))),X0)
| empty_set = sK8(powerset(X0)) )
| ~ spl14_25 ),
inference(resolution,[],[f1243,f214]) ).
fof(f1434,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = relation_rng(sK11(X1,sK9(empty_set,powerset(X0)))) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f1194]) ).
fof(f1433,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = relation_rng(sK10(X1,sK8(powerset(sK9(empty_set,powerset(X0)))))) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f678]) ).
fof(f1432,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = sK8(powerset(relation_rng(sK10(X1,sK9(empty_set,powerset(X0)))))) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f670]) ).
fof(f1431,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = relation_rng(sK10(X1,sK9(empty_set,powerset(X0)))) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f667]) ).
fof(f1430,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| relation_rng(sK10(X1,X2)) = sK9(empty_set,powerset(X0))
| ~ empty(X2) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f663]) ).
fof(f1429,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| relation_rng(X1) = sK9(empty_set,powerset(X0))
| ~ relation(X1)
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f597]) ).
fof(f1428,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = powerset(X0)
| ~ relation(sK9(empty_set,powerset(X0)))
| empty_set = relation_rng(sK9(empty_set,powerset(X0))) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f539]) ).
fof(f1427,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = powerset(X0)
| ~ relation(sK9(empty_set,powerset(X0)))
| empty_set = sK8(powerset(relation_rng(sK9(empty_set,powerset(X0))))) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f537]) ).
fof(f1426,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = sK8(powerset(sK8(powerset(sK9(empty_set,powerset(X0)))))) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f164]) ).
fof(f1425,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = sK8(powerset(sK9(empty_set,powerset(X0)))) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f161]) ).
fof(f1424,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| sK8(powerset(X1)) = sK9(empty_set,powerset(X0))
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f160]) ).
fof(f1423,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| sK9(empty_set,powerset(X0)) = X1
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f110]) ).
fof(f1422,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = sK9(empty_set,powerset(X0)) )
| ~ spl14_25 ),
inference(resolution,[],[f1414,f98]) ).
fof(f1414,plain,
( ! [X0] :
( empty(sK9(empty_set,powerset(X0)))
| ~ empty(X0)
| empty_set = powerset(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1283,f143]) ).
fof(f1421,plain,
( ! [X0] :
( empty_set = powerset(X0)
| ~ empty(X0)
| empty_set = sK9(empty_set,powerset(X0)) )
| ~ spl14_25 ),
inference(resolution,[],[f1283,f1243]) ).
fof(f1420,plain,
( ! [X0] :
( empty_set = powerset(X0)
| ~ empty(X0)
| empty_set = sK9(empty_set,powerset(X0)) )
| ~ spl14_25 ),
inference(resolution,[],[f1283,f1241]) ).
fof(f1419,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| in(sK9(sK9(empty_set,powerset(X0)),X1),X1)
| sK9(empty_set,powerset(X0)) = X1 )
| ~ spl14_25 ),
inference(resolution,[],[f1283,f107]) ).
fof(f1418,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| sK9(empty_set,powerset(X0)) = X1
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1283,f387]) ).
fof(f1417,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| in(sK9(X1,sK9(empty_set,powerset(X0))),X1)
| sK9(empty_set,powerset(X0)) = X1 )
| ~ spl14_25 ),
inference(resolution,[],[f1283,f107]) ).
fof(f1416,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| sK9(empty_set,powerset(X0)) = X1
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1283,f395]) ).
fof(f1415,plain,
( ! [X0] :
( empty_set = powerset(X0)
| ~ empty(X0)
| empty(sK8(powerset(sK9(empty_set,powerset(X0))))) )
| ~ spl14_25 ),
inference(resolution,[],[f1283,f251]) ).
fof(f1412,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| relation_rng(X1) = sK9(empty_set,powerset(X0))
| ~ relation(X1)
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1283,f554]) ).
fof(f1411,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| relation_rng(sK9(empty_set,powerset(X0))) = X1
| in(sK5(sK9(empty_set,powerset(X0)),X1),X1)
| ~ relation(sK9(empty_set,powerset(X0))) )
| ~ spl14_25 ),
inference(resolution,[],[f1283,f96]) ).
fof(f1410,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| ~ in(X1,relation_rng(sK9(empty_set,powerset(X0))))
| ~ relation(sK9(empty_set,powerset(X0))) )
| ~ spl14_25 ),
inference(resolution,[],[f1283,f127]) ).
fof(f1283,plain,
( ! [X0,X1] :
( ~ in(X1,sK9(empty_set,powerset(X0)))
| empty_set = powerset(X0)
| ~ empty(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1243,f158]) ).
fof(f1407,plain,
( ! [X0,X1] :
( empty_set = sK8(powerset(powerset(X0)))
| ~ empty(X0)
| ~ in(X1,sK9(sK8(powerset(powerset(X0))),empty_set)) )
| ~ spl14_25 ),
inference(resolution,[],[f1275,f123]) ).
fof(f1406,plain,
( ! [X0,X1] :
( empty_set = sK8(powerset(powerset(X0)))
| element(X1,X0)
| ~ in(X1,sK9(sK8(powerset(powerset(X0))),empty_set)) )
| ~ spl14_25 ),
inference(resolution,[],[f1275,f120]) ).
fof(f1405,plain,
( ! [X0,X1] :
( empty_set = sK8(powerset(powerset(cartesian_product2(X0,X1))))
| relation(sK9(sK8(powerset(powerset(cartesian_product2(X0,X1)))),empty_set)) )
| ~ spl14_25 ),
inference(resolution,[],[f1275,f119]) ).
fof(f1409,plain,
( ! [X0] :
( empty_set = sK8(powerset(X0))
| in(sK9(sK8(powerset(X0)),empty_set),X0) )
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1404,f161]) ).
fof(f1404,plain,
( ! [X0] :
( empty_set = sK8(powerset(X0))
| empty(X0)
| in(sK9(sK8(powerset(X0)),empty_set),X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1275,f106]) ).
fof(f1275,plain,
( ! [X0] :
( element(sK9(sK8(powerset(X0)),empty_set),X0)
| empty_set = sK8(powerset(X0)) )
| ~ spl14_25 ),
inference(resolution,[],[f1241,f214]) ).
fof(f1273,plain,
( ! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| ~ empty(X1)
| relation_rng_as_subset(X0,X1,X2) = empty_set )
| ~ spl14_25 ),
inference(resolution,[],[f1241,f286]) ).
fof(f1387,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = relation_rng(sK11(X1,sK9(powerset(X0),empty_set))) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f1194]) ).
fof(f1386,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = relation_rng(sK10(X1,sK8(powerset(sK9(powerset(X0),empty_set))))) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f678]) ).
fof(f1385,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = sK8(powerset(relation_rng(sK10(X1,sK9(powerset(X0),empty_set))))) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f670]) ).
fof(f1384,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = relation_rng(sK10(X1,sK9(powerset(X0),empty_set))) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f667]) ).
fof(f1383,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| relation_rng(sK10(X1,X2)) = sK9(powerset(X0),empty_set)
| ~ empty(X2) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f663]) ).
fof(f1382,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| relation_rng(X1) = sK9(powerset(X0),empty_set)
| ~ relation(X1)
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f597]) ).
fof(f1381,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = powerset(X0)
| ~ relation(sK9(powerset(X0),empty_set))
| empty_set = relation_rng(sK9(powerset(X0),empty_set)) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f539]) ).
fof(f1380,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = powerset(X0)
| ~ relation(sK9(powerset(X0),empty_set))
| empty_set = sK8(powerset(relation_rng(sK9(powerset(X0),empty_set)))) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f537]) ).
fof(f1379,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = sK8(powerset(sK8(powerset(sK9(powerset(X0),empty_set))))) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f164]) ).
fof(f1378,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = sK8(powerset(sK9(powerset(X0),empty_set))) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f161]) ).
fof(f1377,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| sK8(powerset(X1)) = sK9(powerset(X0),empty_set)
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f160]) ).
fof(f1376,plain,
( ! [X0,X1] :
( ~ empty(X0)
| empty_set = powerset(X0)
| sK9(powerset(X0),empty_set) = X1
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f110]) ).
fof(f1375,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = sK9(powerset(X0),empty_set) )
| ~ spl14_25 ),
inference(resolution,[],[f1367,f98]) ).
fof(f1367,plain,
( ! [X0] :
( empty(sK9(powerset(X0),empty_set))
| ~ empty(X0)
| empty_set = powerset(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1265,f143]) ).
fof(f1374,plain,
( ! [X0] :
( empty_set = powerset(X0)
| ~ empty(X0)
| empty_set = sK9(powerset(X0),empty_set) )
| ~ spl14_25 ),
inference(resolution,[],[f1265,f1243]) ).
fof(f1373,plain,
( ! [X0] :
( empty_set = powerset(X0)
| ~ empty(X0)
| empty_set = sK9(powerset(X0),empty_set) )
| ~ spl14_25 ),
inference(resolution,[],[f1265,f1241]) ).
fof(f1372,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| in(sK9(sK9(powerset(X0),empty_set),X1),X1)
| sK9(powerset(X0),empty_set) = X1 )
| ~ spl14_25 ),
inference(resolution,[],[f1265,f107]) ).
fof(f1371,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| sK9(powerset(X0),empty_set) = X1
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1265,f387]) ).
fof(f1370,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| in(sK9(X1,sK9(powerset(X0),empty_set)),X1)
| sK9(powerset(X0),empty_set) = X1 )
| ~ spl14_25 ),
inference(resolution,[],[f1265,f107]) ).
fof(f1369,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| sK9(powerset(X0),empty_set) = X1
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1265,f395]) ).
fof(f1368,plain,
( ! [X0] :
( empty_set = powerset(X0)
| ~ empty(X0)
| empty(sK8(powerset(sK9(powerset(X0),empty_set)))) )
| ~ spl14_25 ),
inference(resolution,[],[f1265,f251]) ).
fof(f1365,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| relation_rng(X1) = sK9(powerset(X0),empty_set)
| ~ relation(X1)
| ~ empty(X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1265,f554]) ).
fof(f1364,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| relation_rng(sK9(powerset(X0),empty_set)) = X1
| in(sK5(sK9(powerset(X0),empty_set),X1),X1)
| ~ relation(sK9(powerset(X0),empty_set)) )
| ~ spl14_25 ),
inference(resolution,[],[f1265,f96]) ).
fof(f1363,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ empty(X0)
| ~ in(X1,relation_rng(sK9(powerset(X0),empty_set)))
| ~ relation(sK9(powerset(X0),empty_set)) )
| ~ spl14_25 ),
inference(resolution,[],[f1265,f127]) ).
fof(f1265,plain,
( ! [X0,X1] :
( ~ in(X1,sK9(powerset(X0),empty_set))
| empty_set = powerset(X0)
| ~ empty(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1241,f158]) ).
fof(f1347,plain,
( ! [X0,X1] :
( element(sK9(empty_set,relation_rng(sK11(X0,X1))),X1)
| empty_set = relation_rng(sK11(X0,X1)) )
| ~ spl14_25 ),
inference(resolution,[],[f1168,f1243]) ).
fof(f1346,plain,
( ! [X0,X1] :
( element(sK9(relation_rng(sK11(X0,X1)),empty_set),X1)
| empty_set = relation_rng(sK11(X0,X1)) )
| ~ spl14_25 ),
inference(resolution,[],[f1168,f1241]) ).
fof(f1266,plain,
( ! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = empty_set )
| ~ spl14_25 ),
inference(resolution,[],[f1241,f843]) ).
fof(f1279,plain,
( ! [X0] :
( ~ in(X0,sK9(empty_set,X0))
| empty_set = X0 )
| ~ spl14_25 ),
inference(resolution,[],[f1243,f104]) ).
fof(f1261,plain,
( ! [X0] :
( ~ in(X0,sK9(X0,empty_set))
| empty_set = X0 )
| ~ spl14_25 ),
inference(resolution,[],[f1241,f104]) ).
fof(f1296,plain,
( element(sK9(empty_set,relation_rng(sK2)),sK1)
| ~ spl14_25
| spl14_35 ),
inference(subsumption_resolution,[],[f1286,f1047]) ).
fof(f1286,plain,
( empty_set = relation_rng(sK2)
| element(sK9(empty_set,relation_rng(sK2)),sK1)
| ~ spl14_25 ),
inference(resolution,[],[f1243,f290]) ).
fof(f1291,plain,
( ! [X2,X0,X1] :
( relation_rng_as_subset(X0,X1,X2) = empty_set
| ~ empty(X1)
| ~ relation_of2(X2,X0,X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1243,f286]) ).
fof(f1290,plain,
( ! [X2,X0,X1] :
( relation_rng_as_subset(X0,X1,X2) = empty_set
| element(sK9(empty_set,relation_rng_as_subset(X0,X1,X2)),X1)
| ~ relation_of2(X2,X0,X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1243,f285]) ).
fof(f1287,plain,
( ! [X0,X1] :
( empty_set = relation_rng(sK10(X0,X1))
| element(sK9(empty_set,relation_rng(sK10(X0,X1))),X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1243,f656]) ).
fof(f1284,plain,
( ! [X0] :
( relation_rng(X0) = empty_set
| ~ relation(X0)
| ~ empty(relation_dom(X0)) )
| ~ spl14_25 ),
inference(resolution,[],[f1243,f843]) ).
fof(f1282,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ in(X1,sK9(empty_set,powerset(X0)))
| element(X1,X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1243,f217]) ).
fof(f1281,plain,
( ! [X0,X1] :
( powerset(cartesian_product2(X0,X1)) = empty_set
| relation(sK9(empty_set,powerset(cartesian_product2(X0,X1)))) )
| ~ spl14_25 ),
inference(resolution,[],[f1243,f150]) ).
fof(f1243,plain,
( ! [X0] :
( in(sK9(empty_set,X0),X0)
| empty_set = X0 )
| ~ spl14_25 ),
inference(resolution,[],[f699,f107]) ).
fof(f1272,plain,
( ! [X2,X0,X1] :
( relation_rng_as_subset(X0,X1,X2) = empty_set
| element(sK9(relation_rng_as_subset(X0,X1,X2),empty_set),X1)
| ~ relation_of2(X2,X0,X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1241,f285]) ).
fof(f1269,plain,
( ! [X0,X1] :
( empty_set = relation_rng(sK10(X0,X1))
| element(sK9(relation_rng(sK10(X0,X1)),empty_set),X1) )
| ~ spl14_25 ),
inference(resolution,[],[f1241,f656]) ).
fof(f1264,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ in(X1,sK9(powerset(X0),empty_set))
| element(X1,X0) )
| ~ spl14_25 ),
inference(resolution,[],[f1241,f217]) ).
fof(f1263,plain,
( ! [X0,X1] :
( powerset(cartesian_product2(X0,X1)) = empty_set
| relation(sK9(powerset(cartesian_product2(X0,X1)),empty_set)) )
| ~ spl14_25 ),
inference(resolution,[],[f1241,f150]) ).
fof(f1241,plain,
( ! [X0] :
( in(sK9(X0,empty_set),X0)
| empty_set = X0 )
| ~ spl14_25 ),
inference(resolution,[],[f699,f107]) ).
fof(f699,plain,
( ! [X1] : ~ in(X1,empty_set)
| ~ spl14_25 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f698,plain,
( spl14_25
<=> ! [X1] : ~ in(X1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f1047,plain,
( empty_set != relation_rng(sK2)
| spl14_35 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1046,plain,
( spl14_35
<=> empty_set = relation_rng(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f998,plain,
( empty_set = relation_rng(sK2)
| element(sK9(relation_rng(sK2),empty_set),sK1)
| ~ spl14_25 ),
inference(resolution,[],[f984,f290]) ).
fof(f999,plain,
( ! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| relation_rng(X0) = empty_set )
| ~ spl14_25 ),
inference(resolution,[],[f984,f843]) ).
fof(f1010,plain,
( ! [X0] :
( ~ in(X0,sK9(empty_set,X0))
| empty_set = X0 )
| ~ spl14_25 ),
inference(resolution,[],[f986,f104]) ).
fof(f993,plain,
( ! [X0] :
( ~ in(X0,sK9(X0,empty_set))
| empty_set = X0 )
| ~ spl14_25 ),
inference(resolution,[],[f984,f104]) ).
fof(f1023,plain,
( ! [X0] :
( empty_set = sK8(powerset(X0))
| element(sK9(empty_set,sK8(powerset(X0))),X0) )
| ~ spl14_25 ),
inference(resolution,[],[f986,f214]) ).
fof(f1021,plain,
( ! [X2,X0,X1] :
( relation_rng_as_subset(X0,X1,X2) = empty_set
| ~ empty(X1)
| ~ relation_of2(X2,X0,X1) )
| ~ spl14_25 ),
inference(resolution,[],[f986,f286]) ).
fof(f1020,plain,
( ! [X2,X0,X1] :
( relation_rng_as_subset(X0,X1,X2) = empty_set
| element(sK9(empty_set,relation_rng_as_subset(X0,X1,X2)),X1)
| ~ relation_of2(X2,X0,X1) )
| ~ spl14_25 ),
inference(resolution,[],[f986,f285]) ).
fof(f1018,plain,
( ! [X0,X1] :
( empty_set = relation_rng(sK10(X0,X1))
| element(sK9(empty_set,relation_rng(sK10(X0,X1))),X1) )
| ~ spl14_25 ),
inference(resolution,[],[f986,f656]) ).
fof(f1016,plain,
( ! [X0] :
( relation_rng(X0) = empty_set
| ~ relation(X0)
| ~ empty(relation_dom(X0)) )
| ~ spl14_25 ),
inference(resolution,[],[f986,f843]) ).
fof(f1015,plain,
( empty_set = relation_rng(sK2)
| element(sK9(empty_set,relation_rng(sK2)),sK1)
| ~ spl14_25 ),
inference(resolution,[],[f986,f290]) ).
fof(f1014,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ in(X1,sK9(empty_set,powerset(X0)))
| ~ empty(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f986,f158]) ).
fof(f1013,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ in(X1,sK9(empty_set,powerset(X0)))
| element(X1,X0) )
| ~ spl14_25 ),
inference(resolution,[],[f986,f217]) ).
fof(f1012,plain,
( ! [X0,X1] :
( powerset(cartesian_product2(X0,X1)) = empty_set
| relation(sK9(empty_set,powerset(cartesian_product2(X0,X1)))) )
| ~ spl14_25 ),
inference(resolution,[],[f986,f150]) ).
fof(f986,plain,
( ! [X0] :
( in(sK9(empty_set,X0),X0)
| empty_set = X0 )
| ~ spl14_25 ),
inference(resolution,[],[f699,f107]) ).
fof(f1006,plain,
( ! [X0] :
( empty_set = sK8(powerset(X0))
| element(sK9(sK8(powerset(X0)),empty_set),X0) )
| ~ spl14_25 ),
inference(resolution,[],[f984,f214]) ).
fof(f1004,plain,
( ! [X2,X0,X1] :
( relation_rng_as_subset(X0,X1,X2) = empty_set
| ~ empty(X1)
| ~ relation_of2(X2,X0,X1) )
| ~ spl14_25 ),
inference(resolution,[],[f984,f286]) ).
fof(f1003,plain,
( ! [X2,X0,X1] :
( relation_rng_as_subset(X0,X1,X2) = empty_set
| element(sK9(relation_rng_as_subset(X0,X1,X2),empty_set),X1)
| ~ relation_of2(X2,X0,X1) )
| ~ spl14_25 ),
inference(resolution,[],[f984,f285]) ).
fof(f1001,plain,
( ! [X0,X1] :
( empty_set = relation_rng(sK10(X0,X1))
| element(sK9(relation_rng(sK10(X0,X1)),empty_set),X1) )
| ~ spl14_25 ),
inference(resolution,[],[f984,f656]) ).
fof(f997,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ in(X1,sK9(powerset(X0),empty_set))
| ~ empty(X0) )
| ~ spl14_25 ),
inference(resolution,[],[f984,f158]) ).
fof(f996,plain,
( ! [X0,X1] :
( empty_set = powerset(X0)
| ~ in(X1,sK9(powerset(X0),empty_set))
| element(X1,X0) )
| ~ spl14_25 ),
inference(resolution,[],[f984,f217]) ).
fof(f995,plain,
( ! [X0,X1] :
( powerset(cartesian_product2(X0,X1)) = empty_set
| relation(sK9(powerset(cartesian_product2(X0,X1)),empty_set)) )
| ~ spl14_25 ),
inference(resolution,[],[f984,f150]) ).
fof(f984,plain,
( ! [X0] :
( in(sK9(X0,empty_set),X0)
| empty_set = X0 )
| ~ spl14_25 ),
inference(resolution,[],[f699,f107]) ).
fof(f1977,plain,
( ~ spl14_6
| ~ spl14_25
| spl14_35 ),
inference(avatar_contradiction_clause,[],[f1976]) ).
fof(f1976,plain,
( $false
| ~ spl14_6
| ~ spl14_25
| spl14_35 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f984,f995,f996,f997,f1001,f1003,f1004,f1006,f986,f1012,f1013,f1014,f1015,f1016,f1018,f1020,f1021,f1023,f386,f993,f1010,f999,f998,f1047,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f699,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1241,f1263,f1264,f1269,f1272,f1243,f1281,f1282,f1284,f1287,f1290,f1291,f1296,f1261,f1279,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1266,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1265,f1363,f1364,f1365,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1367,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1273,f514,f1275,f1409,f1405,f1406,f1407,f1283,f1410,f1411,f1412,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1414,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1293,f1440,f1436,f1437,f1438,f549,f541,f1236,f1235,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f1548,f1549,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f1585,f1586,f1602,f1609,f1610,f1611,f1615,f1617,f1619,f1622,f1624,f1625,f1626,f1605,f1634,f1635,f1636,f1640,f1642,f1644,f1647,f1649,f1650,f1651,f1607,f1632,f553,f1676,f1678,f1545,f1582,f1853,f1854,f1844,f1852,f1834,f1855,f1652,f1627,f1956,f1297,f1963,f618,f601,f298]) ).
fof(f1975,plain,
( spl14_2
| ~ spl14_7
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1974]) ).
fof(f1974,plain,
( $false
| spl14_2
| ~ spl14_7
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f313,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f984,f995,f996,f997,f1001,f1003,f1004,f1006,f986,f1012,f1013,f1014,f1015,f1016,f1018,f1020,f1021,f1023,f386,f993,f1010,f999,f998,f1047,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f699,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1241,f1263,f1264,f1269,f1272,f1243,f1281,f1282,f1284,f1287,f1290,f1291,f1296,f1261,f1279,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1266,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1265,f1363,f1364,f1365,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1367,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1273,f514,f1275,f1409,f1405,f1406,f1407,f1283,f1410,f1411,f1412,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1414,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1293,f1440,f1436,f1437,f1438,f549,f541,f1236,f1235,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f1548,f1549,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f1585,f1586,f1602,f1609,f1610,f1611,f1615,f1617,f1619,f1622,f1624,f1625,f1626,f1605,f1634,f1635,f1636,f1640,f1642,f1644,f1647,f1649,f1650,f1651,f1607,f1632,f553,f1553,f1671,f1670,f1668,f1676,f1678,f283,f1830,f138,f385,f1545,f1582,f1853,f1854,f1844,f1852,f1834,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1855,f1948,f1652,f1627,f1956,f1297,f1963,f618,f601]) ).
fof(f1948,plain,
( empty(sK1)
| spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f1855,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1553,f1671,f1670,f1668,f1676,f1678,f283,f1830,f138,f385,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947]) ).
fof(f1947,plain,
( empty(sK1)
| spl14_2
| spl14_45 ),
inference(subsumption_resolution,[],[f1943,f1659]) ).
fof(f1943,plain,
( empty(sK1)
| in(sK5(sK2,sK1),sK1)
| spl14_2
| spl14_45 ),
inference(resolution,[],[f1938,f106]) ).
fof(f1938,plain,
( element(sK5(sK2,sK1),sK1)
| spl14_2
| spl14_45 ),
inference(resolution,[],[f1669,f290]) ).
fof(f1941,plain,
( ~ in(relation_rng(sK2),sK5(sK2,sK1))
| spl14_2
| spl14_45 ),
inference(resolution,[],[f1669,f104]) ).
fof(f1936,plain,
( in(sK5(sK2,sK1),relation_rng(sK2))
| spl14_2
| spl14_45 ),
inference(subsumption_resolution,[],[f1935,f1830]) ).
fof(f1935,plain,
( in(sK5(sK2,sK1),relation_rng(sK2))
| sK1 = relation_rng(sK2)
| spl14_45 ),
inference(subsumption_resolution,[],[f1932,f198]) ).
fof(f1932,plain,
( in(sK5(sK2,sK1),relation_rng(sK2))
| ~ relation(sK2)
| sK1 = relation_rng(sK2)
| spl14_45 ),
inference(resolution,[],[f1659,f564]) ).
fof(f1869,plain,
( ! [X0] :
( ~ in(sK5(sK2,X0),sK1)
| relation_rng(sK2) = X0
| ~ in(sK5(sK2,X0),X0) )
| spl14_2 ),
inference(subsumption_resolution,[],[f1864,f198]) ).
fof(f1864,plain,
( ! [X0] :
( ~ in(sK5(sK2,X0),sK1)
| relation_rng(sK2) = X0
| ~ in(sK5(sK2,X0),X0)
| ~ relation(sK2) )
| spl14_2 ),
inference(resolution,[],[f1859,f97]) ).
fof(f1879,plain,
( ! [X0] :
( ~ subset(relation_rng(sK2),X0)
| ~ in(powerset(X0),sK1)
| empty(powerset(X0)) )
| spl14_2 ),
inference(resolution,[],[f1867,f224]) ).
fof(f1865,plain,
( ! [X0] :
( ~ in(sK2,ordered_pair(sK4(X0),X0))
| ~ in(X0,sK1) )
| spl14_2 ),
inference(resolution,[],[f1859,f104]) ).
fof(f1895,plain,
( ! [X0] :
( ~ in(relation_dom(sK2),sK4(X0))
| ~ in(X0,sK1) )
| spl14_2 ),
inference(resolution,[],[f1868,f104]) ).
fof(f1868,plain,
( ! [X0] :
( in(sK4(X0),relation_dom(sK2))
| ~ in(X0,sK1) )
| spl14_2 ),
inference(subsumption_resolution,[],[f1863,f198]) ).
fof(f1863,plain,
( ! [X0] :
( ~ in(X0,sK1)
| in(sK4(X0),relation_dom(sK2))
| ~ relation(sK2) )
| spl14_2 ),
inference(resolution,[],[f1859,f114]) ).
fof(f1890,plain,
( ! [X0,X1] :
( ~ in(powerset(cartesian_product2(X0,X1)),sK1)
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(relation_rng(sK2),X0,X1) )
| spl14_2 ),
inference(resolution,[],[f1873,f197]) ).
fof(f1889,plain,
( ! [X0] :
( ~ in(powerset(X0),sK1)
| empty(powerset(X0))
| ~ subset(relation_rng(sK2),X0) )
| spl14_2 ),
inference(resolution,[],[f1873,f145]) ).
fof(f1873,plain,
( ! [X0] :
( ~ in(relation_rng(sK2),X0)
| ~ in(X0,sK1) )
| spl14_2 ),
inference(resolution,[],[f1867,f104]) ).
fof(f1886,plain,
( ! [X0] :
( ~ in(sK9(X0,relation_rng(sK2)),sK1)
| relation_rng(sK2) = X0
| ~ in(sK9(X0,relation_rng(sK2)),X0) )
| spl14_2 ),
inference(resolution,[],[f1867,f108]) ).
fof(f1887,plain,
( ! [X0] :
( ~ in(sK5(sK2,X0),sK1)
| ~ in(sK5(sK2,X0),X0)
| relation_rng(sK2) = X0 )
| spl14_2 ),
inference(subsumption_resolution,[],[f1885,f198]) ).
fof(f1885,plain,
( ! [X0] :
( ~ in(sK5(sK2,X0),sK1)
| ~ in(sK5(sK2,X0),X0)
| ~ relation(sK2)
| relation_rng(sK2) = X0 )
| spl14_2 ),
inference(resolution,[],[f1867,f514]) ).
fof(f1867,plain,
( ! [X0] :
( in(X0,relation_rng(sK2))
| ~ in(X0,sK1) )
| spl14_2 ),
inference(subsumption_resolution,[],[f1862,f198]) ).
fof(f1862,plain,
( ! [X0] :
( ~ in(X0,sK1)
| in(X0,relation_rng(sK2))
| ~ relation(sK2) )
| spl14_2 ),
inference(resolution,[],[f1859,f115]) ).
fof(f1859,plain,
( ! [X5] :
( in(ordered_pair(sK4(X5),X5),sK2)
| ~ in(X5,sK1) )
| spl14_2 ),
inference(subsumption_resolution,[],[f1676,f1830]) ).
fof(f385,plain,
( ~ in(relation_rng(sK2),sK1)
| spl14_2 ),
inference(duplicate_literal_removal,[],[f384]) ).
fof(f384,plain,
( ~ in(relation_rng(sK2),sK1)
| ~ in(relation_rng(sK2),sK1)
| spl14_2 ),
inference(resolution,[],[f376,f353]) ).
fof(f1830,plain,
( sK1 != relation_rng(sK2)
| spl14_2 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f138,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f283,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f385,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1553,f1676,f1678]) ).
fof(f1670,plain,
( in(sK6(sK2,sK1),relation_dom(sK2))
| sK1 = relation_rng(sK2)
| spl14_45 ),
inference(subsumption_resolution,[],[f1666,f198]) ).
fof(f1666,plain,
( in(sK6(sK2,sK1),relation_dom(sK2))
| ~ relation(sK2)
| sK1 = relation_rng(sK2)
| spl14_45 ),
inference(resolution,[],[f1659,f563]) ).
fof(f1671,plain,
( in(sK6(sK2,sK1),relation_dom(sK2))
| spl14_2
| spl14_45 ),
inference(subsumption_resolution,[],[f1670,f283]) ).
fof(f1553,plain,
( in(sK6(sK2,sK1),relation_dom(sK2))
| ~ in(sK5(sK2,sK1),sK1)
| spl14_2 ),
inference(subsumption_resolution,[],[f1552,f283]) ).
fof(f1552,plain,
( in(sK6(sK2,sK1),relation_dom(sK2))
| sK1 = relation_rng(sK2)
| ~ in(sK5(sK2,sK1),sK1)
| spl14_2 ),
inference(subsumption_resolution,[],[f1551,f198]) ).
fof(f1551,plain,
( in(sK6(sK2,sK1),relation_dom(sK2))
| ~ relation(sK2)
| sK1 = relation_rng(sK2)
| ~ in(sK5(sK2,sK1),sK1)
| spl14_2 ),
inference(duplicate_literal_removal,[],[f1529]) ).
fof(f1529,plain,
( in(sK6(sK2,sK1),relation_dom(sK2))
| ~ relation(sK2)
| sK1 = relation_rng(sK2)
| ~ in(sK5(sK2,sK1),sK1)
| sK1 = relation_rng(sK2)
| spl14_2 ),
inference(resolution,[],[f563,f515]) ).
fof(f1329,plain,
( ! [X0,X1] :
( empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(relation_rng(sK2),X0,X1)
| ~ in(powerset(cartesian_product2(X0,X1)),sK1) )
| spl14_2 ),
inference(resolution,[],[f197,f376]) ).
fof(f515,plain,
( ! [X0] :
( ~ in(sK5(sK2,X0),sK1)
| ~ in(sK5(sK2,X0),X0)
| relation_rng(sK2) = X0 )
| spl14_2 ),
inference(subsumption_resolution,[],[f508,f198]) ).
fof(f508,plain,
( ! [X0] :
( relation_rng(sK2) = X0
| ~ in(sK5(sK2,X0),X0)
| ~ relation(sK2)
| ~ in(sK5(sK2,X0),sK1) )
| spl14_2 ),
inference(resolution,[],[f97,f336]) ).
fof(f380,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK1)
| in(X1,relation_rng(relation_rng(sK2)))
| ~ relation(relation_rng(sK2)) )
| spl14_2 ),
inference(resolution,[],[f353,f115]) ).
fof(f512,plain,
( ! [X0,X1] :
( relation_rng(relation_rng(sK2)) = X0
| ~ in(sK5(relation_rng(sK2),X0),X0)
| ~ relation(relation_rng(sK2))
| ~ in(ordered_pair(X1,sK5(relation_rng(sK2),X0)),sK1) )
| spl14_2 ),
inference(resolution,[],[f97,f353]) ).
fof(f423,plain,
( ! [X0] :
( relation_rng(sK2) = X0
| ~ in(sK9(X0,relation_rng(sK2)),X0)
| ~ in(sK9(X0,relation_rng(sK2)),sK1) )
| spl14_2 ),
inference(resolution,[],[f108,f353]) ).
fof(f410,plain,
( ~ in(powerset(relation_rng(sK2)),sK1)
| empty(powerset(relation_rng(sK2)))
| spl14_2 ),
inference(resolution,[],[f379,f100]) ).
fof(f379,plain,
( ! [X0] :
( ~ subset(relation_rng(sK2),X0)
| ~ in(powerset(X0),sK1)
| empty(powerset(X0)) )
| spl14_2 ),
inference(resolution,[],[f353,f224]) ).
fof(f351,plain,
( ! [X0] :
( ~ in(sK2,ordered_pair(sK4(X0),X0))
| ~ in(X0,sK1) )
| spl14_2 ),
inference(resolution,[],[f336,f104]) ).
fof(f403,plain,
( ! [X0] :
( ~ in(relation_dom(sK2),sK4(X0))
| ~ in(X0,sK1) )
| spl14_2 ),
inference(resolution,[],[f355,f104]) ).
fof(f404,plain,
( ! [X0] :
( ~ in(X0,sK1)
| ~ empty(relation_dom(sK2)) )
| spl14_2 ),
inference(resolution,[],[f355,f111]) ).
fof(f355,plain,
( ! [X0] :
( in(sK4(X0),relation_dom(sK2))
| ~ in(X0,sK1) )
| spl14_2 ),
inference(subsumption_resolution,[],[f350,f198]) ).
fof(f350,plain,
( ! [X0] :
( ~ in(X0,sK1)
| in(sK4(X0),relation_dom(sK2))
| ~ relation(sK2) )
| spl14_2 ),
inference(resolution,[],[f336,f114]) ).
fof(f383,plain,
( ! [X0] :
( ~ in(powerset(X0),sK1)
| empty(powerset(X0))
| ~ subset(relation_rng(sK2),X0) )
| spl14_2 ),
inference(resolution,[],[f376,f145]) ).
fof(f376,plain,
( ! [X0] :
( ~ in(relation_rng(sK2),X0)
| ~ in(X0,sK1) )
| spl14_2 ),
inference(resolution,[],[f353,f104]) ).
fof(f381,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK1)
| in(X0,relation_dom(relation_rng(sK2)))
| ~ relation(relation_rng(sK2)) )
| spl14_2 ),
inference(resolution,[],[f353,f114]) ).
fof(f353,plain,
( ! [X0] :
( in(X0,relation_rng(sK2))
| ~ in(X0,sK1) )
| spl14_2 ),
inference(subsumption_resolution,[],[f349,f198]) ).
fof(f349,plain,
( ! [X0] :
( ~ in(X0,sK1)
| in(X0,relation_rng(sK2))
| ~ relation(sK2) )
| spl14_2 ),
inference(resolution,[],[f336,f115]) ).
fof(f352,plain,
( ! [X0] :
( ~ in(X0,sK1)
| ~ empty(sK2) )
| spl14_2 ),
inference(resolution,[],[f336,f111]) ).
fof(f336,plain,
( ! [X5] :
( in(ordered_pair(sK4(X5),X5),sK2)
| ~ in(X5,sK1) )
| spl14_2 ),
inference(subsumption_resolution,[],[f90,f138]) ).
fof(f1973,plain,
( spl14_2
| ~ spl14_10
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1972]) ).
fof(f1972,plain,
( $false
| spl14_2
| ~ spl14_10
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f371,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f984,f995,f996,f997,f1001,f1003,f1004,f1006,f986,f1012,f1013,f1014,f1015,f1016,f1018,f1020,f1021,f1023,f386,f993,f1010,f999,f998,f1047,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f699,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1241,f1263,f1264,f1269,f1272,f1243,f1281,f1282,f1284,f1287,f1290,f1291,f1296,f1261,f1279,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1266,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1265,f1363,f1364,f1365,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1367,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1273,f514,f1275,f1409,f1405,f1406,f1407,f1283,f1410,f1411,f1412,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1414,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1293,f1440,f1436,f1437,f1438,f549,f541,f1236,f1235,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f1548,f1549,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f1585,f1586,f1602,f1609,f1610,f1611,f1615,f1617,f1619,f1622,f1624,f1625,f1626,f1605,f1634,f1635,f1636,f1640,f1642,f1644,f1647,f1649,f1650,f1651,f1607,f1632,f553,f1553,f1671,f1670,f1668,f1676,f1678,f283,f1830,f138,f385,f1545,f1582,f1853,f1854,f1844,f1852,f1834,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1855,f1948,f1652,f1627,f1956,f1297,f1963,f618,f601]) ).
fof(f371,plain,
( empty(sK1)
| in(sK8(relation_rng(sK2)),sK1)
| ~ spl14_10 ),
inference(resolution,[],[f323,f106]) ).
fof(f323,plain,
( element(sK8(relation_rng(sK2)),sK1)
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f321,plain,
( spl14_10
<=> element(sK8(relation_rng(sK2)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f1971,plain,
( spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1970]) ).
fof(f1970,plain,
( $false
| spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f984,f995,f996,f997,f1001,f1003,f1004,f1006,f986,f1012,f1013,f1014,f1015,f1016,f1018,f1020,f1021,f1023,f386,f993,f1010,f999,f998,f1047,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f699,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1241,f1263,f1264,f1269,f1272,f1243,f1281,f1282,f1284,f1287,f1290,f1291,f1296,f1261,f1279,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1266,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1265,f1363,f1364,f1365,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1367,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1273,f514,f1275,f1409,f1405,f1406,f1407,f1283,f1410,f1411,f1412,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1414,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1293,f1440,f1436,f1437,f1438,f549,f541,f1236,f1235,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f1548,f1549,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f1585,f1586,f1602,f1609,f1610,f1611,f1615,f1617,f1619,f1622,f1624,f1625,f1626,f1605,f1634,f1635,f1636,f1640,f1642,f1644,f1647,f1649,f1650,f1651,f1607,f1632,f553,f1553,f1671,f1670,f1668,f1676,f1678,f283,f1830,f138,f385,f1545,f1582,f1853,f1854,f1844,f1852,f1834,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1855,f1948,f1652,f1627,f1956,f1297,f1963,f618,f601]) ).
fof(f1969,plain,
( spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1968]) ).
fof(f1968,plain,
( $false
| spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f984,f995,f996,f997,f1001,f1003,f1004,f1006,f986,f1012,f1013,f1014,f1015,f1016,f1018,f1020,f1021,f1023,f386,f993,f1010,f999,f998,f1047,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f699,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1241,f1263,f1264,f1269,f1272,f1243,f1281,f1282,f1284,f1287,f1290,f1291,f1296,f1261,f1279,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1266,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1265,f1363,f1364,f1365,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1367,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1273,f514,f1275,f1409,f1405,f1406,f1407,f1283,f1410,f1411,f1412,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1414,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1293,f1440,f1436,f1437,f1438,f549,f541,f1236,f1235,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f1548,f1549,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f1585,f1586,f1602,f1609,f1610,f1611,f1615,f1617,f1619,f1622,f1624,f1625,f1626,f1605,f1634,f1635,f1636,f1640,f1642,f1644,f1647,f1649,f1650,f1651,f1607,f1632,f553,f1553,f1671,f1670,f1668,f1676,f1678,f283,f1830,f138,f385,f1545,f1582,f1853,f1854,f1844,f1852,f1834,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1855,f1948,f1652,f1627,f1956,f1297,f1963,f618]) ).
fof(f1967,plain,
( spl14_2
| ~ spl14_17
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1966]) ).
fof(f1966,plain,
( $false
| spl14_2
| ~ spl14_17
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f703,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f984,f995,f996,f997,f1001,f1003,f1004,f1006,f986,f1012,f1013,f1014,f1015,f1016,f1018,f1020,f1021,f1023,f386,f993,f1010,f999,f998,f1047,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f699,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1241,f1263,f1264,f1269,f1272,f1243,f1281,f1282,f1284,f1287,f1290,f1291,f1296,f1261,f1279,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1266,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1265,f1363,f1364,f1365,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1367,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1273,f514,f1275,f1409,f1405,f1406,f1407,f1283,f1410,f1411,f1412,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1414,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1293,f1440,f1436,f1437,f1438,f549,f541,f1236,f1235,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f1548,f1549,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f1585,f1586,f1602,f1609,f1610,f1611,f1615,f1617,f1619,f1622,f1624,f1625,f1626,f1605,f1634,f1635,f1636,f1640,f1642,f1644,f1647,f1649,f1650,f1651,f1607,f1632,f553,f1553,f1671,f1670,f1668,f1676,f1678,f283,f1830,f138,f385,f1545,f1582,f1853,f1854,f1844,f1852,f1834,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1855,f1948,f1652,f1627,f1956,f1297,f1963]) ).
fof(f703,plain,
( empty(sK1)
| in(sK8(sK8(powerset(relation_rng(sK2)))),sK1)
| ~ spl14_17 ),
inference(resolution,[],[f433,f106]) ).
fof(f433,plain,
( element(sK8(sK8(powerset(relation_rng(sK2)))),sK1)
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f431,plain,
( spl14_17
<=> element(sK8(sK8(powerset(relation_rng(sK2)))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f1965,plain,
( spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1964]) ).
fof(f1964,plain,
( $false
| spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f984,f995,f996,f997,f1001,f1003,f1004,f1006,f986,f1012,f1013,f1014,f1015,f1016,f1018,f1020,f1021,f1023,f386,f993,f1010,f999,f998,f1047,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f699,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1241,f1263,f1264,f1269,f1272,f1243,f1281,f1282,f1284,f1287,f1290,f1291,f1296,f1261,f1279,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1266,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1265,f1363,f1364,f1365,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1367,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1273,f514,f1275,f1409,f1405,f1406,f1407,f1283,f1410,f1411,f1412,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1414,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1293,f1440,f1436,f1437,f1438,f549,f541,f1236,f1235,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f1548,f1549,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f1585,f1586,f1602,f1609,f1610,f1611,f1615,f1617,f1619,f1622,f1624,f1625,f1626,f1605,f1634,f1635,f1636,f1640,f1642,f1644,f1647,f1649,f1650,f1651,f1607,f1632,f553,f1553,f1671,f1670,f1668,f1676,f1678,f283,f1830,f138,f385,f1545,f1582,f1853,f1854,f1844,f1852,f1834,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1855,f1948,f1652,f1627,f1956,f1297,f1963]) ).
fof(f1962,plain,
( spl14_2
| ~ spl14_25
| ~ spl14_34
| spl14_35
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1961]) ).
fof(f1961,plain,
( $false
| spl14_2
| ~ spl14_25
| ~ spl14_34
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f1055,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f984,f995,f996,f997,f1001,f1003,f1004,f1006,f986,f1012,f1013,f1014,f1015,f1016,f1018,f1020,f1021,f1023,f386,f993,f1010,f999,f998,f1047,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f699,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1241,f1263,f1264,f1269,f1272,f1243,f1281,f1282,f1284,f1287,f1290,f1291,f1296,f1261,f1279,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1266,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1265,f1363,f1364,f1365,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1367,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1273,f514,f1275,f1409,f1405,f1406,f1407,f1283,f1410,f1411,f1412,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1414,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1293,f1440,f1436,f1437,f1438,f549,f541,f1236,f1235,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f1548,f1549,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f1585,f1586,f1602,f1609,f1610,f1611,f1615,f1617,f1619,f1622,f1624,f1625,f1626,f1605,f1634,f1635,f1636,f1640,f1642,f1644,f1647,f1649,f1650,f1651,f1607,f1632,f553,f1553,f1671,f1670,f1668,f1676,f1678,f283,f1830,f138,f385,f1545,f1582,f1853,f1854,f1844,f1852,f1834,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1855,f1948,f1652,f1627,f1956,f1297]) ).
fof(f1055,plain,
( empty(sK1)
| in(sK9(relation_rng(sK2),empty_set),sK1)
| ~ spl14_34 ),
inference(resolution,[],[f1044,f106]) ).
fof(f1044,plain,
( element(sK9(relation_rng(sK2),empty_set),sK1)
| ~ spl14_34 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1042,plain,
( spl14_34
<=> element(sK9(relation_rng(sK2),empty_set),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f1960,plain,
( spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1959]) ).
fof(f1959,plain,
( $false
| spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f984,f995,f996,f997,f1001,f1003,f1004,f1006,f986,f1012,f1013,f1014,f1015,f1016,f1018,f1020,f1021,f1023,f386,f993,f1010,f999,f998,f1047,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f699,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1241,f1263,f1264,f1269,f1272,f1243,f1281,f1282,f1284,f1287,f1290,f1291,f1296,f1261,f1279,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1266,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1265,f1363,f1364,f1365,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1367,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1273,f514,f1275,f1409,f1405,f1406,f1407,f1283,f1410,f1411,f1412,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1414,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1293,f1440,f1436,f1437,f1438,f549,f541,f1236,f1235,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f1548,f1549,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f1585,f1586,f1602,f1609,f1610,f1611,f1615,f1617,f1619,f1622,f1624,f1625,f1626,f1605,f1634,f1635,f1636,f1640,f1642,f1644,f1647,f1649,f1650,f1651,f1607,f1632,f553,f1553,f1671,f1670,f1668,f1676,f1678,f283,f1830,f138,f385,f1545,f1582,f1853,f1854,f1844,f1852,f1834,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1855,f1948,f1652,f1627,f1956,f1297]) ).
fof(f1958,plain,
( spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1957]) ).
fof(f1957,plain,
( $false
| spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f984,f995,f996,f997,f1001,f1003,f1004,f1006,f986,f1012,f1013,f1014,f1015,f1016,f1018,f1020,f1021,f1023,f386,f993,f1010,f999,f998,f1047,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f699,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1241,f1263,f1264,f1269,f1272,f1243,f1281,f1282,f1284,f1287,f1290,f1291,f1296,f1261,f1279,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1266,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1265,f1363,f1364,f1365,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1367,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1273,f514,f1275,f1409,f1405,f1406,f1407,f1283,f1410,f1411,f1412,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1414,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1293,f1440,f1436,f1437,f1438,f549,f541,f1236,f1235,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f1548,f1549,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f1585,f1586,f1602,f1609,f1610,f1611,f1615,f1617,f1619,f1622,f1624,f1625,f1626,f1605,f1634,f1635,f1636,f1640,f1642,f1644,f1647,f1649,f1650,f1651,f1607,f1632,f553,f1553,f1671,f1670,f1668,f1676,f1678,f283,f1830,f138,f385,f1545,f1582,f1853,f1854,f1844,f1852,f1834,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1855,f1948,f1652,f1627,f1956]) ).
fof(f1954,plain,
( ~ spl14_1
| spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1953]) ).
fof(f1953,plain,
( $false
| ~ spl14_1
| spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f1627,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1553,f1671,f1670,f1668,f134,f1680,f1676,f1678,f283,f1830,f138,f385,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1681]) ).
fof(f1681,plain,
( ~ empty(sK1)
| ~ spl14_1 ),
inference(resolution,[],[f134,f111]) ).
fof(f1680,plain,
( ~ in(sK1,sK3)
| ~ spl14_1 ),
inference(resolution,[],[f134,f104]) ).
fof(f134,plain,
( in(sK3,sK1)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl14_1
<=> in(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f1952,plain,
( ~ spl14_1
| spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1951]) ).
fof(f1951,plain,
( $false
| ~ spl14_1
| spl14_2
| ~ spl14_25
| spl14_35
| spl14_45 ),
inference(global_subsumption,[],[f1652,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1553,f1671,f1670,f1668,f134,f1680,f1676,f1678,f283,f1830,f138,f385,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1681]) ).
fof(f1950,plain,
( ~ spl14_1
| spl14_2
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1949]) ).
fof(f1949,plain,
( $false
| ~ spl14_1
| spl14_2
| spl14_45 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1553,f1671,f1670,f1668,f134,f1680,f1676,f1678,f283,f1830,f138,f385,f1859,f1867,f1887,f1886,f1873,f1889,f1890,f1868,f1895,f1865,f1879,f1869,f1659,f1936,f1669,f1941,f1938,f1947,f1681]) ).
fof(f1946,plain,
( spl14_2
| spl14_6
| spl14_45 ),
inference(avatar_contradiction_clause,[],[f1945]) ).
fof(f1945,plain,
( $false
| spl14_2
| spl14_6
| spl14_45 ),
inference(subsumption_resolution,[],[f1944,f1659]) ).
fof(f1944,plain,
( in(sK5(sK2,sK1),sK1)
| spl14_2
| spl14_6
| spl14_45 ),
inference(subsumption_resolution,[],[f1943,f299]) ).
fof(f299,plain,
( ~ empty(sK1)
| spl14_6 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f1931,plain,
( spl14_2
| ~ spl14_45 ),
inference(avatar_contradiction_clause,[],[f1930]) ).
fof(f1930,plain,
( $false
| spl14_2
| ~ spl14_45 ),
inference(subsumption_resolution,[],[f1929,f1658]) ).
fof(f1658,plain,
( in(sK5(sK2,sK1),sK1)
| ~ spl14_45 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f1929,plain,
( ~ in(sK5(sK2,sK1),sK1)
| spl14_2
| ~ spl14_45 ),
inference(subsumption_resolution,[],[f1925,f1830]) ).
fof(f1925,plain,
( sK1 = relation_rng(sK2)
| ~ in(sK5(sK2,sK1),sK1)
| spl14_2
| ~ spl14_45 ),
inference(resolution,[],[f1869,f1658]) ).
fof(f1825,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_contradiction_clause,[],[f1824]) ).
fof(f1824,plain,
( $false
| ~ spl14_1
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f1810,f134]) ).
fof(f1810,plain,
( ~ in(sK3,sK1)
| ~ spl14_2 ),
inference(superposition,[],[f1752,f1755]) ).
fof(f1755,plain,
( sK1 = relation_rng(sK2)
| ~ spl14_2 ),
inference(superposition,[],[f137,f281]) ).
fof(f137,plain,
( sK1 = relation_rng_as_subset(sK0,sK1,sK2)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f1752,plain,
( ~ in(sK3,relation_rng(sK2))
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f1751,f198]) ).
fof(f1751,plain,
( ~ in(sK3,relation_rng(sK2))
| ~ relation(sK2)
| ~ spl14_2 ),
inference(resolution,[],[f1750,f127]) ).
fof(f1750,plain,
( ! [X4] : ~ in(ordered_pair(X4,sK3),sK2)
| ~ spl14_2 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1676,f137,f1678]) ).
fof(f1749,plain,
( ~ spl14_1
| spl14_45
| spl14_46 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
fof(f1748,plain,
( $false
| ~ spl14_1
| spl14_45
| spl14_46 ),
inference(subsumption_resolution,[],[f1747,f134]) ).
fof(f1747,plain,
( ~ in(sK3,sK1)
| spl14_45
| spl14_46 ),
inference(forward_demodulation,[],[f1746,f1677]) ).
fof(f1677,plain,
( sK1 = relation_rng(sK2)
| spl14_45
| spl14_46 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1662,f1659,f1670,f1674,f1668,f1675,f1676]) ).
fof(f1675,plain,
( sK1 = relation_rng(sK2)
| spl14_45
| spl14_46 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1662,f1659,f1670,f1674,f1668]) ).
fof(f1674,plain,
( sK1 = relation_rng(sK2)
| spl14_45
| spl14_46 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1662,f1659,f1670]) ).
fof(f1662,plain,
( ~ in(sK6(sK2,sK1),relation_dom(sK2))
| spl14_46 ),
inference(avatar_component_clause,[],[f1661]) ).
fof(f1661,plain,
( spl14_46
<=> in(sK6(sK2,sK1),relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_46])]) ).
fof(f1746,plain,
( ~ in(sK3,relation_rng(sK2))
| spl14_45
| spl14_46 ),
inference(subsumption_resolution,[],[f1745,f198]) ).
fof(f1745,plain,
( ~ in(sK3,relation_rng(sK2))
| ~ relation(sK2)
| spl14_45
| spl14_46 ),
inference(resolution,[],[f1679,f127]) ).
fof(f1679,plain,
( ! [X4] : ~ in(ordered_pair(X4,sK3),sK2)
| spl14_45
| spl14_46 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1662,f1659,f1670,f1674,f1668,f1675,f1676,f1677,f1678]) ).
fof(f1673,plain,
( spl14_2
| spl14_45
| spl14_46 ),
inference(avatar_contradiction_clause,[],[f1672]) ).
fof(f1672,plain,
( $false
| spl14_2
| spl14_45
| spl14_46 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f138,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f283,f117,f289,f291,f290,f292,f301,f336,f352,f353,f381,f376,f383,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f385,f355,f404,f403,f351,f379,f410,f108,f422,f423,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f512,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f380,f591,f515,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f286,f803,f804,f805,f806,f807,f808,f809,f810,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1329,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f549,f541,f641,f785,f563,f1527,f1528,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1546,f1547,f564,f1593,f1595,f1596,f1597,f1598,f1599,f1564,f1565,f1568,f1569,f1570,f1571,f1572,f1573,f1574,f1575,f1576,f1577,f1578,f1579,f1580,f1581,f1583,f1584,f553,f1553,f1662,f1659,f1669,f1671]) ).
fof(f1664,plain,
( ~ spl14_45
| spl14_46
| spl14_2 ),
inference(avatar_split_clause,[],[f1553,f136,f1661,f1657]) ).
fof(f1555,plain,
( ~ spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f793,f570,f566]) ).
fof(f566,plain,
( spl14_18
<=> relation(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f570,plain,
( spl14_19
<=> empty_set = relation_rng(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f793,plain,
( ~ relation(empty_set)
| spl14_19 ),
inference(subsumption_resolution,[],[f541,f571]) ).
fof(f571,plain,
( empty_set != relation_rng(empty_set)
| spl14_19 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f1554,plain,
( ~ spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f790,f570,f566]) ).
fof(f790,plain,
( ~ relation(empty_set)
| spl14_19 ),
inference(subsumption_resolution,[],[f549,f571]) ).
fof(f1520,plain,
( ~ spl14_18
| spl14_19 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1519,plain,
( $false
| ~ spl14_18
| spl14_19 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f564,f563,f553,f555,f556,f557,f558,f559,f560,f561,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f790,f793,f541,f549,f641,f785,f286,f803,f804,f805,f806,f807,f808,f809,f810,f567,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f1501,f1504,f862,f860,f571]) ).
fof(f860,plain,
( empty_set = sK8(powerset(relation_rng(empty_set)))
| ~ spl14_18 ),
inference(subsumption_resolution,[],[f785,f567]) ).
fof(f862,plain,
( empty_set = sK8(powerset(relation_rng(empty_set)))
| ~ spl14_18 ),
inference(subsumption_resolution,[],[f641,f567]) ).
fof(f1504,plain,
( empty_set = relation_rng(empty_set)
| ~ spl14_18 ),
inference(subsumption_resolution,[],[f549,f567]) ).
fof(f1501,plain,
( empty_set = relation_rng(empty_set)
| ~ spl14_18 ),
inference(subsumption_resolution,[],[f541,f567]) ).
fof(f567,plain,
( relation(empty_set)
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f1518,plain,
( ~ spl14_18
| spl14_19 ),
inference(avatar_contradiction_clause,[],[f1517]) ).
fof(f1517,plain,
( $false
| ~ spl14_18
| spl14_19 ),
inference(subsumption_resolution,[],[f790,f567]) ).
fof(f1516,plain,
( ~ spl14_18
| spl14_19 ),
inference(avatar_contradiction_clause,[],[f1515]) ).
fof(f1515,plain,
( $false
| ~ spl14_18
| spl14_19 ),
inference(subsumption_resolution,[],[f793,f567]) ).
fof(f1514,plain,
( ~ spl14_18
| spl14_19
| spl14_43 ),
inference(avatar_contradiction_clause,[],[f1513]) ).
fof(f1513,plain,
( $false
| ~ spl14_18
| spl14_19
| spl14_43 ),
inference(global_subsumption,[],[f1490,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f564,f563,f553,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f790,f793,f541,f549,f641,f785,f286,f803,f804,f805,f806,f807,f808,f809,f810,f567,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f1501,f1504,f862,f860]) ).
fof(f1490,plain,
( empty_set != sK9(powerset(empty_set),empty_set)
| spl14_43 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f1489,plain,
( spl14_43
<=> empty_set = sK9(powerset(empty_set),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
fof(f1512,plain,
( ~ spl14_18
| spl14_19
| spl14_44 ),
inference(avatar_contradiction_clause,[],[f1511]) ).
fof(f1511,plain,
( $false
| ~ spl14_18
| spl14_19
| spl14_44 ),
inference(global_subsumption,[],[f1494,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f564,f563,f553,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f790,f793,f541,f549,f641,f785,f286,f803,f804,f805,f806,f807,f808,f809,f810,f567,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f1501,f1504,f862,f860]) ).
fof(f1494,plain,
( empty_set != powerset(empty_set)
| spl14_44 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1493,plain,
( spl14_44
<=> empty_set = powerset(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_44])]) ).
fof(f1510,plain,
( ~ spl14_18
| spl14_19 ),
inference(avatar_contradiction_clause,[],[f1509]) ).
fof(f1509,plain,
( $false
| ~ spl14_18
| spl14_19 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f564,f563,f553,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f790,f793,f541,f549,f641,f785,f286,f803,f804,f805,f806,f807,f808,f809,f810,f567,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f1501,f1504,f862,f860]) ).
fof(f1508,plain,
( ~ spl14_18
| spl14_19 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1507,plain,
( $false
| ~ spl14_18
| spl14_19 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f564,f563,f553,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f790,f793,f541,f549,f641,f785,f286,f803,f804,f805,f806,f807,f808,f809,f810,f567,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f1501,f1504,f862]) ).
fof(f1506,plain,
( ~ spl14_18
| spl14_19 ),
inference(avatar_contradiction_clause,[],[f1505]) ).
fof(f1505,plain,
( $false
| ~ spl14_18
| spl14_19 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f564,f563,f553,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f790,f793,f541,f549,f641,f785,f286,f803,f804,f805,f806,f807,f808,f809,f810,f567,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f1501,f1504]) ).
fof(f1503,plain,
( ~ spl14_18
| spl14_19 ),
inference(avatar_contradiction_clause,[],[f1502]) ).
fof(f1502,plain,
( $false
| ~ spl14_18
| spl14_19 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f564,f563,f553,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f790,f793,f541,f549,f641,f785,f286,f803,f804,f805,f806,f807,f808,f809,f810,f567,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514,f1501]) ).
fof(f1500,plain,
( ~ spl14_18
| spl14_19
| ~ spl14_25 ),
inference(avatar_contradiction_clause,[],[f1499]) ).
fof(f1499,plain,
( $false
| ~ spl14_18
| spl14_19
| ~ spl14_25 ),
inference(global_subsumption,[],[f1244,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f564,f563,f553,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f790,f793,f541,f549,f641,f785,f286,f803,f804,f805,f806,f807,f808,f809,f810,f567,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514]) ).
fof(f1244,plain,
( ! [X0] : ~ in(X0,relation_rng(empty_set))
| ~ spl14_18
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1235,f567]) ).
fof(f1498,plain,
( ~ spl14_18
| spl14_19
| ~ spl14_25 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1497,plain,
( $false
| ~ spl14_18
| spl14_19
| ~ spl14_25 ),
inference(global_subsumption,[],[f1246,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f281,f117,f289,f291,f290,f292,f301,f107,f388,f389,f390,f391,f392,f393,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f469,f470,f471,f472,f473,f474,f97,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f542,f543,f96,f564,f563,f553,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f655,f657,f659,f660,f664,f665,f666,f661,f668,f669,f671,f672,f673,f674,f667,f675,f676,f679,f681,f684,f216,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f790,f793,f541,f549,f641,f785,f286,f803,f804,f805,f806,f807,f808,f809,f810,f567,f475,f842,f284,f285,f940,f941,f942,f943,f944,f945,f946,f947,f843,f958,f959,f962,f963,f964,f965,f960,f968,f386,f394,f467,f708,f1081,f658,f663,f1088,f1089,f1091,f1092,f1093,f1094,f961,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1085,f670,f1111,f1112,f1114,f1115,f1116,f1117,f1118,f554,f1124,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f678,f1140,f1141,f1143,f1144,f1145,f1146,f1147,f282,f287,f1175,f1180,f1170,f1181,f1182,f1183,f1184,f1171,f1169,f1185,f1186,f1187,f1190,f1191,f1192,f1193,f1188,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1194,f1206,f1207,f1208,f1210,f1211,f1212,f1213,f1214,f1216,f1209,f1227,f1230,f168,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f197,f1325,f1328,f1332,f1333,f1334,f1335,f1168,f1336,f1337,f1338,f1340,f1341,f1342,f1343,f1344,f1345,f1189,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f514]) ).
fof(f1246,plain,
( ! [X0] :
( relation_rng(empty_set) = X0
| in(sK5(empty_set,X0),X0) )
| ~ spl14_18
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1236,f567]) ).
fof(f1496,plain,
( spl14_43
| spl14_44
| ~ spl14_18
| ~ spl14_19
| ~ spl14_25 ),
inference(avatar_split_clause,[],[f1475,f698,f570,f566,f1493,f1489]) ).
fof(f1475,plain,
( empty_set = powerset(empty_set)
| empty_set = sK9(powerset(empty_set),empty_set)
| ~ spl14_18
| ~ spl14_19
| ~ spl14_25 ),
inference(resolution,[],[f1366,f93]) ).
fof(f1366,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = powerset(X0)
| empty_set = sK9(powerset(X0),empty_set) )
| ~ spl14_18
| ~ spl14_19
| ~ spl14_25 ),
inference(resolution,[],[f1265,f1247]) ).
fof(f1247,plain,
( ! [X0] :
( in(sK5(empty_set,X0),X0)
| empty_set = X0 )
| ~ spl14_18
| ~ spl14_19
| ~ spl14_25 ),
inference(forward_demodulation,[],[f1246,f572]) ).
fof(f572,plain,
( empty_set = relation_rng(empty_set)
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f1234,plain,
( spl14_42
| spl14_25 ),
inference(avatar_split_clause,[],[f1230,f698,f1232]) ).
fof(f1232,plain,
( spl14_42
<=> ! [X0] : ~ empty(sK11(X0,empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_42])]) ).
fof(f1160,plain,
( spl14_40
| ~ spl14_41
| spl14_2
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f1139,f745,f136,f1157,f1153]) ).
fof(f1153,plain,
( spl14_40
<=> empty(powerset(relation_rng(cartesian_product2(sK0,sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f1157,plain,
( spl14_41
<=> in(powerset(relation_rng(cartesian_product2(sK0,sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f745,plain,
( spl14_27
<=> ! [X0] :
( ~ in(X0,sK2)
| in(X0,cartesian_product2(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f1139,plain,
( ~ in(powerset(relation_rng(cartesian_product2(sK0,sK1))),sK1)
| empty(powerset(relation_rng(cartesian_product2(sK0,sK1))))
| spl14_2
| ~ spl14_27 ),
inference(resolution,[],[f898,f100]) ).
fof(f898,plain,
( ! [X0] :
( ~ subset(relation_rng(cartesian_product2(sK0,sK1)),X0)
| ~ in(powerset(X0),sK1)
| empty(powerset(X0)) )
| spl14_2
| ~ spl14_27 ),
inference(resolution,[],[f889,f224]) ).
fof(f889,plain,
( ! [X0] :
( in(X0,relation_rng(cartesian_product2(sK0,sK1)))
| ~ in(X0,sK1) )
| spl14_2
| ~ spl14_27 ),
inference(resolution,[],[f872,f336]) ).
fof(f872,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK2)
| in(X1,relation_rng(cartesian_product2(sK0,sK1))) )
| ~ spl14_27 ),
inference(subsumption_resolution,[],[f868,f153]) ).
fof(f868,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK2)
| in(X1,relation_rng(cartesian_product2(sK0,sK1)))
| ~ relation(cartesian_product2(sK0,sK1)) )
| ~ spl14_27 ),
inference(resolution,[],[f746,f115]) ).
fof(f746,plain,
( ! [X0] :
( in(X0,cartesian_product2(sK0,sK1))
| ~ in(X0,sK2) )
| ~ spl14_27 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f1079,plain,
( ~ spl14_38
| ~ spl14_39
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f918,f745,f1076,f1072]) ).
fof(f1072,plain,
( spl14_38
<=> in(relation_rng(cartesian_product2(sK0,sK1)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
fof(f1076,plain,
( spl14_39
<=> in(cartesian_product2(sK0,sK1),relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
fof(f918,plain,
( ~ in(cartesian_product2(sK0,sK1),relation_rng(sK2))
| ~ in(relation_rng(cartesian_product2(sK0,sK1)),sK2)
| ~ spl14_27 ),
inference(resolution,[],[f892,f864]) ).
fof(f864,plain,
( ! [X0] :
( ~ in(cartesian_product2(sK0,sK1),X0)
| ~ in(X0,sK2) )
| ~ spl14_27 ),
inference(resolution,[],[f746,f104]) ).
fof(f892,plain,
( ! [X0] :
( in(X0,relation_rng(cartesian_product2(sK0,sK1)))
| ~ in(X0,relation_rng(sK2)) )
| ~ spl14_27 ),
inference(subsumption_resolution,[],[f890,f198]) ).
fof(f890,plain,
( ! [X0] :
( in(X0,relation_rng(cartesian_product2(sK0,sK1)))
| ~ in(X0,relation_rng(sK2))
| ~ relation(sK2) )
| ~ spl14_27 ),
inference(resolution,[],[f872,f127]) ).
fof(f1068,plain,
( spl14_36
| ~ spl14_37
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f1059,f745,f1065,f1061]) ).
fof(f1061,plain,
( spl14_36
<=> empty(powerset(cartesian_product2(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f1065,plain,
( spl14_37
<=> in(powerset(cartesian_product2(sK0,sK1)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f1059,plain,
( ~ in(powerset(cartesian_product2(sK0,sK1)),sK2)
| empty(powerset(cartesian_product2(sK0,sK1)))
| ~ spl14_27 ),
inference(resolution,[],[f866,f100]) ).
fof(f866,plain,
( ! [X0] :
( ~ subset(cartesian_product2(sK0,sK1),X0)
| ~ in(powerset(X0),sK2)
| empty(powerset(X0)) )
| ~ spl14_27 ),
inference(resolution,[],[f746,f224]) ).
fof(f1054,plain,
( spl14_34
| spl14_35 ),
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1053,plain,
( $false
| spl14_34
| spl14_35 ),
inference(subsumption_resolution,[],[f1052,f1047]) ).
fof(f1052,plain,
( empty_set = relation_rng(sK2)
| spl14_34 ),
inference(subsumption_resolution,[],[f1050,f93]) ).
fof(f1050,plain,
( ~ empty(empty_set)
| empty_set = relation_rng(sK2)
| spl14_34 ),
inference(resolution,[],[f1043,f596]) ).
fof(f1043,plain,
( ~ element(sK9(relation_rng(sK2),empty_set),sK1)
| spl14_34 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1049,plain,
( spl14_34
| spl14_35
| ~ spl14_25 ),
inference(avatar_split_clause,[],[f998,f698,f1046,f1042]) ).
fof(f978,plain,
( spl14_33
| spl14_25 ),
inference(avatar_split_clause,[],[f968,f698,f976]) ).
fof(f976,plain,
( spl14_33
<=> ! [X0] : ~ empty(relation_dom(sK10(X0,empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
fof(f974,plain,
( ~ spl14_32
| spl14_25
| ~ spl14_18
| ~ spl14_19 ),
inference(avatar_split_clause,[],[f969,f570,f566,f698,f971]) ).
fof(f971,plain,
( spl14_32
<=> empty(relation_dom(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f969,plain,
( ! [X0] :
( ~ in(X0,empty_set)
| ~ empty(relation_dom(empty_set)) )
| ~ spl14_18
| ~ spl14_19 ),
inference(subsumption_resolution,[],[f967,f567]) ).
fof(f967,plain,
( ! [X0] :
( ~ in(X0,empty_set)
| ~ relation(empty_set)
| ~ empty(relation_dom(empty_set)) )
| ~ spl14_19 ),
inference(superposition,[],[f843,f572]) ).
fof(f954,plain,
( ~ spl14_31
| spl14_12
| spl14_2
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f939,f745,f136,f361,f951]) ).
fof(f951,plain,
( spl14_31
<=> empty(relation_dom(cartesian_product2(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).
fof(f361,plain,
( spl14_12
<=> ! [X0] : ~ in(X0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f939,plain,
( ! [X0] :
( ~ in(X0,sK1)
| ~ empty(relation_dom(cartesian_product2(sK0,sK1))) )
| spl14_2
| ~ spl14_27 ),
inference(resolution,[],[f933,f111]) ).
fof(f933,plain,
( ! [X0] :
( in(sK4(X0),relation_dom(cartesian_product2(sK0,sK1)))
| ~ in(X0,sK1) )
| spl14_2
| ~ spl14_27 ),
inference(resolution,[],[f873,f336]) ).
fof(f873,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK2)
| in(X0,relation_dom(cartesian_product2(sK0,sK1))) )
| ~ spl14_27 ),
inference(subsumption_resolution,[],[f869,f153]) ).
fof(f869,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK2)
| in(X0,relation_dom(cartesian_product2(sK0,sK1)))
| ~ relation(cartesian_product2(sK0,sK1)) )
| ~ spl14_27 ),
inference(resolution,[],[f746,f114]) ).
fof(f908,plain,
( ~ spl14_30
| spl14_12
| spl14_2
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f896,f745,f136,f361,f905]) ).
fof(f905,plain,
( spl14_30
<=> empty(relation_rng(cartesian_product2(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f896,plain,
( ! [X0] :
( ~ in(X0,sK1)
| ~ empty(relation_rng(cartesian_product2(sK0,sK1))) )
| spl14_2
| ~ spl14_27 ),
inference(resolution,[],[f889,f111]) ).
fof(f887,plain,
( ~ spl14_28
| ~ spl14_29
| spl14_2
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f867,f745,f136,f884,f880]) ).
fof(f880,plain,
( spl14_28
<=> in(cartesian_product2(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f884,plain,
( spl14_29
<=> in(relation_rng(sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f867,plain,
( ~ in(relation_rng(sK2),sK2)
| ~ in(cartesian_product2(sK0,sK1),sK1)
| spl14_2
| ~ spl14_27 ),
inference(resolution,[],[f746,f376]) ).
fof(f859,plain,
( spl14_11
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f858,plain,
( $false
| spl14_11
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f850,f359]) ).
fof(f359,plain,
( ~ empty(sK2)
| spl14_11 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl14_11
<=> empty(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f850,plain,
( empty(sK2)
| ~ spl14_26 ),
inference(resolution,[],[f844,f143]) ).
fof(f844,plain,
( ! [X0] : ~ in(X0,sK2)
| ~ spl14_26 ),
inference(resolution,[],[f748,f89]) ).
fof(f748,plain,
( ! [X0,X1] :
( ~ relation_of2_as_subset(X0,sK0,sK1)
| ~ in(X1,X0) )
| ~ spl14_26 ),
inference(resolution,[],[f743,f196]) ).
fof(f743,plain,
( empty(cartesian_product2(sK0,sK1))
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f741,plain,
( spl14_26
<=> empty(cartesian_product2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f814,plain,
( spl14_18
| ~ spl14_26 ),
inference(avatar_split_clause,[],[f776,f741,f566]) ).
fof(f776,plain,
( relation(empty_set)
| ~ spl14_26 ),
inference(forward_demodulation,[],[f769,f677]) ).
fof(f769,plain,
( ! [X0] : relation(relation_rng(sK10(X0,empty_set)))
| ~ spl14_26 ),
inference(superposition,[],[f655,f749]) ).
fof(f749,plain,
( empty_set = cartesian_product2(sK0,sK1)
| ~ spl14_26 ),
inference(resolution,[],[f743,f98]) ).
fof(f813,plain,
( spl14_18
| ~ spl14_26 ),
inference(avatar_split_clause,[],[f770,f741,f566]) ).
fof(f770,plain,
( relation(empty_set)
| ~ spl14_26 ),
inference(forward_demodulation,[],[f764,f162]) ).
fof(f764,plain,
( relation(sK8(powerset(empty_set)))
| ~ spl14_26 ),
inference(superposition,[],[f148,f749]) ).
fof(f802,plain,
( spl14_18
| ~ spl14_26 ),
inference(avatar_split_clause,[],[f767,f741,f566]) ).
fof(f767,plain,
( relation(empty_set)
| ~ spl14_26 ),
inference(superposition,[],[f153,f749]) ).
fof(f797,plain,
( ~ spl14_18
| spl14_19
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f796,plain,
( $false
| ~ spl14_18
| spl14_19
| ~ spl14_26 ),
inference(global_subsumption,[],[f567,f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f168,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f197,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f282,f281,f117,f284,f285,f286,f287,f289,f291,f290,f292,f301,f107,f386,f388,f389,f390,f391,f392,f393,f394,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f475,f467,f469,f470,f471,f472,f473,f474,f97,f514,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f541,f542,f543,f549,f96,f564,f563,f553,f554,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f658,f655,f657,f659,f660,f663,f664,f665,f666,f661,f668,f669,f670,f671,f672,f673,f674,f667,f675,f676,f678,f679,f681,f684,f216,f708,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f743,f748,f750,f751,f752,f753,f758,f759,f756,f757,f749,f761,f762,f763,f765,f766,f775,f776,f767,f770,f785,f641,f790,f793]) ).
fof(f775,plain,
( ! [X0,X1] :
( ~ relation_of2_as_subset(X0,sK0,sK1)
| ~ in(X1,X0) )
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f768,f93]) ).
fof(f768,plain,
( ! [X0,X1] :
( ~ empty(empty_set)
| ~ relation_of2_as_subset(X0,sK0,sK1)
| ~ in(X1,X0) )
| ~ spl14_26 ),
inference(superposition,[],[f196,f749]) ).
fof(f766,plain,
( ! [X0] :
( ~ in(X0,powerset(empty_set))
| relation(X0) )
| ~ spl14_26 ),
inference(superposition,[],[f150,f749]) ).
fof(f765,plain,
( ! [X0] :
( ~ subset(X0,empty_set)
| relation(X0) )
| ~ spl14_26 ),
inference(superposition,[],[f149,f749]) ).
fof(f763,plain,
( ! [X0] :
( ~ element(X0,powerset(empty_set))
| relation(X0) )
| ~ spl14_26 ),
inference(superposition,[],[f119,f749]) ).
fof(f762,plain,
( ! [X0] :
( element(X0,powerset(empty_set))
| ~ relation_of2_as_subset(X0,sK0,sK1) )
| ~ spl14_26 ),
inference(superposition,[],[f118,f749]) ).
fof(f761,plain,
( ! [X0] :
( element(X0,empty_set)
| ~ in(X0,sK2) )
| ~ spl14_26 ),
inference(superposition,[],[f707,f749]) ).
fof(f757,plain,
( ! [X0] : empty_set = relation_rng(sK10(X0,cartesian_product2(sK0,sK1)))
| ~ spl14_26 ),
inference(resolution,[],[f743,f667]) ).
fof(f756,plain,
( ! [X0] :
( relation_rng(X0) = cartesian_product2(sK0,sK1)
| ~ relation(X0)
| ~ empty(X0) )
| ~ spl14_26 ),
inference(resolution,[],[f743,f597]) ).
fof(f759,plain,
( empty_set = relation_rng(cartesian_product2(sK0,sK1))
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f755,f153]) ).
fof(f755,plain,
( ~ relation(cartesian_product2(sK0,sK1))
| empty_set = relation_rng(cartesian_product2(sK0,sK1))
| ~ spl14_26 ),
inference(resolution,[],[f743,f539]) ).
fof(f758,plain,
( empty_set = sK8(powerset(relation_rng(cartesian_product2(sK0,sK1))))
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f754,f153]) ).
fof(f754,plain,
( ~ relation(cartesian_product2(sK0,sK1))
| empty_set = sK8(powerset(relation_rng(cartesian_product2(sK0,sK1))))
| ~ spl14_26 ),
inference(resolution,[],[f743,f537]) ).
fof(f753,plain,
( empty_set = sK8(powerset(sK8(powerset(cartesian_product2(sK0,sK1)))))
| ~ spl14_26 ),
inference(resolution,[],[f743,f164]) ).
fof(f752,plain,
( empty_set = sK8(powerset(cartesian_product2(sK0,sK1)))
| ~ spl14_26 ),
inference(resolution,[],[f743,f161]) ).
fof(f751,plain,
( ! [X0] :
( cartesian_product2(sK0,sK1) = sK8(powerset(X0))
| ~ empty(X0) )
| ~ spl14_26 ),
inference(resolution,[],[f743,f160]) ).
fof(f750,plain,
( ! [X0] :
( cartesian_product2(sK0,sK1) = X0
| ~ empty(X0) )
| ~ spl14_26 ),
inference(resolution,[],[f743,f110]) ).
fof(f795,plain,
( spl14_19
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f794]) ).
fof(f794,plain,
( $false
| spl14_19
| ~ spl14_26 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f168,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f197,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f282,f281,f117,f284,f285,f286,f287,f289,f291,f290,f292,f301,f107,f386,f388,f389,f390,f391,f392,f393,f394,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f475,f467,f469,f470,f471,f472,f473,f474,f97,f514,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f541,f542,f543,f549,f96,f564,f563,f553,f554,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f658,f655,f657,f659,f660,f663,f664,f665,f666,f661,f668,f669,f670,f671,f672,f673,f674,f667,f675,f676,f678,f679,f681,f684,f216,f708,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f743,f748,f750,f751,f752,f753,f758,f759,f756,f757,f749,f761,f762,f763,f765,f766,f775,f776,f767,f770,f785,f641,f790,f793]) ).
fof(f792,plain,
( spl14_19
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f791]) ).
fof(f791,plain,
( $false
| spl14_19
| ~ spl14_26 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f168,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f197,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f282,f281,f117,f284,f285,f286,f287,f289,f291,f290,f292,f301,f107,f386,f388,f389,f390,f391,f392,f393,f394,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f475,f467,f469,f470,f471,f472,f473,f474,f97,f514,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f541,f542,f543,f549,f96,f564,f563,f553,f554,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f658,f655,f657,f659,f660,f663,f664,f665,f666,f661,f668,f669,f670,f671,f672,f673,f674,f667,f675,f676,f678,f679,f681,f684,f216,f708,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f743,f748,f750,f751,f752,f753,f758,f759,f756,f757,f749,f761,f762,f763,f765,f766,f775,f776,f767,f770,f785,f641,f790]) ).
fof(f789,plain,
( spl14_19
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f788,plain,
( $false
| spl14_19
| ~ spl14_26 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f168,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f197,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f282,f281,f117,f284,f285,f286,f287,f289,f291,f290,f292,f301,f107,f386,f388,f389,f390,f391,f392,f393,f394,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f475,f467,f469,f470,f471,f472,f473,f474,f97,f514,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f541,f542,f543,f549,f96,f564,f563,f553,f554,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f658,f655,f657,f659,f660,f663,f664,f665,f666,f661,f668,f669,f670,f671,f672,f673,f674,f667,f675,f676,f678,f679,f681,f684,f216,f708,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f743,f748,f750,f751,f752,f753,f758,f759,f756,f757,f749,f761,f762,f763,f765,f766,f775,f776,f767,f770,f785,f641]) ).
fof(f787,plain,
( spl14_19
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f786,plain,
( $false
| spl14_19
| ~ spl14_26 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f168,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f197,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f282,f281,f117,f284,f285,f286,f287,f289,f291,f290,f292,f301,f107,f386,f388,f389,f390,f391,f392,f393,f394,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f475,f467,f469,f470,f471,f472,f473,f474,f97,f514,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f541,f542,f543,f549,f96,f564,f563,f553,f554,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f658,f655,f657,f659,f660,f663,f664,f665,f666,f661,f668,f669,f670,f671,f672,f673,f674,f667,f675,f676,f678,f679,f681,f684,f216,f708,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f743,f748,f750,f751,f752,f753,f758,f759,f756,f757,f749,f761,f762,f763,f765,f766,f775,f776,f767,f770,f785]) ).
fof(f784,plain,
( spl14_19
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f783,plain,
( $false
| spl14_19
| ~ spl14_26 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f168,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f197,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f282,f281,f117,f284,f285,f286,f287,f289,f291,f290,f292,f301,f107,f386,f388,f389,f390,f391,f392,f393,f394,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f475,f467,f469,f470,f471,f472,f473,f474,f97,f514,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f541,f542,f543,f549,f96,f564,f563,f553,f554,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f658,f655,f657,f659,f660,f663,f664,f665,f666,f661,f668,f669,f670,f671,f672,f673,f674,f667,f675,f676,f678,f679,f681,f684,f216,f708,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f743,f748,f750,f751,f752,f753,f758,f759,f756,f757,f749,f761,f762,f763,f765,f766,f775,f776,f767,f770]) ).
fof(f782,plain,
( spl14_19
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f781,plain,
( $false
| spl14_19
| ~ spl14_26 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f168,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f197,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f282,f281,f117,f284,f285,f286,f287,f289,f291,f290,f292,f301,f107,f386,f388,f389,f390,f391,f392,f393,f394,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f475,f467,f469,f470,f471,f472,f473,f474,f97,f514,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f541,f542,f543,f549,f96,f564,f563,f553,f554,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f658,f655,f657,f659,f660,f663,f664,f665,f666,f661,f668,f669,f670,f671,f672,f673,f674,f667,f675,f676,f678,f679,f681,f684,f216,f708,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f743,f748,f750,f751,f752,f753,f758,f759,f756,f757,f749,f761,f762,f763,f765,f766,f775,f776,f767]) ).
fof(f780,plain,
( spl14_19
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f779]) ).
fof(f779,plain,
( $false
| spl14_19
| ~ spl14_26 ),
inference(global_subsumption,[],[f92,f90,f126,f93,f124,f125,f100,f89,f99,f101,f98,f129,f111,f104,f105,f112,f113,f91,f102,f109,f110,f106,f143,f146,f119,f148,f121,f151,f152,f149,f153,f122,f150,f123,f156,f159,f161,f165,f103,f167,f168,f170,f171,f172,f162,f176,f177,f179,f175,f157,f158,f118,f197,f195,f198,f199,f200,f201,f160,f206,f164,f210,f120,f214,f215,f145,f114,f226,f166,f229,f230,f232,f233,f234,f235,f169,f236,f237,f238,f239,f240,f241,f242,f217,f219,f247,f248,f249,f224,f252,f231,f255,f256,f257,f258,f259,f260,f261,f115,f262,f251,f265,f267,f268,f269,f266,f272,f273,f274,f275,f263,f116,f282,f281,f117,f284,f285,f286,f287,f289,f291,f290,f292,f301,f107,f386,f388,f389,f390,f391,f392,f393,f394,f396,f397,f398,f399,f400,f401,f108,f422,f302,f127,f475,f467,f469,f470,f471,f472,f473,f474,f97,f514,f510,f468,f529,f532,f533,f530,f535,f536,f538,f539,f540,f541,f542,f543,f549,f96,f564,f563,f553,f554,f555,f556,f557,f558,f559,f560,f561,f571,f531,f583,f584,f585,f586,f587,f588,f387,f593,f594,f595,f598,f596,f395,f610,f611,f612,f614,f615,f613,f591,f597,f631,f633,f634,f636,f608,f537,f640,f642,f643,f645,f196,f280,f654,f658,f655,f657,f659,f660,f663,f664,f665,f666,f661,f668,f669,f670,f671,f672,f673,f674,f667,f675,f676,f678,f679,f681,f684,f216,f708,f709,f677,f707,f718,f656,f721,f722,f723,f724,f725,f726,f727,f728,f662,f730,f731,f732,f733,f734,f735,f736,f737,f738,f719,f743,f748,f750,f751,f752,f753,f758,f759,f756,f757,f749,f761,f762,f763,f765,f766,f775,f776]) ).
fof(f778,plain,
( spl14_18
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f777]) ).
fof(f777,plain,
( $false
| spl14_18
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f776,f568]) ).
fof(f568,plain,
( ~ relation(empty_set)
| spl14_18 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f774,plain,
( spl14_18
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f773]) ).
fof(f773,plain,
( $false
| spl14_18
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f767,f568]) ).
fof(f772,plain,
( spl14_18
| ~ spl14_26 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f771,plain,
( $false
| spl14_18
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f770,f568]) ).
fof(f747,plain,
( spl14_26
| spl14_27 ),
inference(avatar_split_clause,[],[f719,f745,f741]) ).
fof(f720,plain,
( spl14_24
| spl14_25 ),
inference(avatar_split_clause,[],[f718,f698,f695]) ).
fof(f695,plain,
( spl14_24
<=> ! [X0] : ~ empty(sK10(X0,empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f700,plain,
( spl14_24
| spl14_25
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f693,f427,f698,f695]) ).
fof(f693,plain,
( ! [X0,X1] :
( ~ in(X1,empty_set)
| ~ empty(sK10(X0,empty_set)) )
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f690,f201]) ).
fof(f690,plain,
( ! [X0,X1] :
( ~ in(X1,empty_set)
| ~ relation(sK10(X0,empty_set))
| ~ empty(sK10(X0,empty_set)) )
| ~ spl14_16 ),
inference(superposition,[],[f468,f683]) ).
fof(f683,plain,
( ! [X0] : empty_set = relation_rng(sK10(X0,empty_set))
| ~ spl14_16 ),
inference(forward_demodulation,[],[f680,f439]) ).
fof(f439,plain,
( empty_set = sK8(powerset(relation_rng(sK2)))
| ~ spl14_16 ),
inference(resolution,[],[f429,f98]) ).
fof(f429,plain,
( empty(sK8(powerset(relation_rng(sK2))))
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f680,plain,
( ! [X0] : empty_set = relation_rng(sK10(X0,sK8(powerset(relation_rng(sK2)))))
| ~ spl14_16 ),
inference(resolution,[],[f667,f429]) ).
fof(f629,plain,
( ~ spl14_22
| spl14_23
| spl14_2 ),
inference(avatar_split_clause,[],[f380,f136,f627,f623]) ).
fof(f623,plain,
( spl14_22
<=> relation(relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f627,plain,
( spl14_23
<=> ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK1)
| in(X1,relation_rng(relation_rng(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f582,plain,
( ~ spl14_20
| spl14_21
| spl14_6
| spl14_9
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f497,f427,f317,f297,f580,f576]) ).
fof(f576,plain,
( spl14_20
<=> relation(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f580,plain,
( spl14_21
<=> ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),empty_set)
| in(X1,relation_rng(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f497,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),empty_set)
| in(X1,relation_rng(sK1))
| ~ relation(sK1) )
| spl14_6
| spl14_9
| ~ spl14_16 ),
inference(resolution,[],[f488,f115]) ).
fof(f488,plain,
( ! [X0] :
( in(X0,sK1)
| ~ in(X0,empty_set) )
| spl14_6
| spl14_9
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f486,f299]) ).
fof(f486,plain,
( ! [X0] :
( ~ in(X0,empty_set)
| empty(sK1)
| in(X0,sK1) )
| spl14_9
| ~ spl14_16 ),
inference(resolution,[],[f477,f106]) ).
fof(f477,plain,
( ! [X0] :
( element(X0,sK1)
| ~ in(X0,empty_set) )
| spl14_9
| ~ spl14_16 ),
inference(resolution,[],[f464,f290]) ).
fof(f464,plain,
( ! [X0] :
( in(X0,relation_rng(sK2))
| ~ in(X0,empty_set) )
| spl14_9
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f463,f318]) ).
fof(f463,plain,
( ! [X0] :
( ~ in(X0,empty_set)
| empty(relation_rng(sK2))
| in(X0,relation_rng(sK2)) )
| ~ spl14_16 ),
inference(resolution,[],[f443,f106]) ).
fof(f443,plain,
( ! [X0] :
( element(X0,relation_rng(sK2))
| ~ in(X0,empty_set) )
| ~ spl14_16 ),
inference(superposition,[],[f214,f439]) ).
fof(f573,plain,
( ~ spl14_18
| spl14_19
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f547,f427,f570,f566]) ).
fof(f547,plain,
( empty_set = relation_rng(empty_set)
| ~ relation(empty_set)
| ~ spl14_16 ),
inference(forward_demodulation,[],[f546,f439]) ).
fof(f546,plain,
( ~ relation(empty_set)
| empty_set = relation_rng(sK8(powerset(relation_rng(sK2))))
| ~ spl14_16 ),
inference(forward_demodulation,[],[f544,f439]) ).
fof(f544,plain,
( ~ relation(sK8(powerset(relation_rng(sK2))))
| empty_set = relation_rng(sK8(powerset(relation_rng(sK2))))
| ~ spl14_16 ),
inference(resolution,[],[f539,f429]) ).
fof(f434,plain,
( spl14_16
| spl14_17 ),
inference(avatar_split_clause,[],[f302,f431,f427]) ).
fof(f419,plain,
( spl14_14
| ~ spl14_15
| spl14_2 ),
inference(avatar_split_clause,[],[f410,f136,f416,f412]) ).
fof(f412,plain,
( spl14_14
<=> empty(powerset(relation_rng(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f416,plain,
( spl14_15
<=> in(powerset(relation_rng(sK2)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f409,plain,
( ~ spl14_13
| spl14_12
| spl14_2 ),
inference(avatar_split_clause,[],[f404,f136,f361,f406]) ).
fof(f406,plain,
( spl14_13
<=> empty(relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f370,plain,
( spl14_2
| spl14_6
| ~ spl14_9 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| spl14_2
| spl14_6
| ~ spl14_9 ),
inference(subsumption_resolution,[],[f368,f93]) ).
fof(f368,plain,
( ~ empty(empty_set)
| spl14_2
| spl14_6
| ~ spl14_9 ),
inference(resolution,[],[f366,f111]) ).
fof(f366,plain,
( in(sK8(sK1),empty_set)
| spl14_2
| spl14_6
| ~ spl14_9 ),
inference(subsumption_resolution,[],[f364,f299]) ).
fof(f364,plain,
( in(sK8(sK1),empty_set)
| empty(sK1)
| spl14_2
| ~ spl14_9 ),
inference(resolution,[],[f354,f143]) ).
fof(f354,plain,
( ! [X0] :
( ~ in(X0,sK1)
| in(X0,empty_set) )
| spl14_2
| ~ spl14_9 ),
inference(forward_demodulation,[],[f353,f329]) ).
fof(f329,plain,
( empty_set = relation_rng(sK2)
| ~ spl14_9 ),
inference(resolution,[],[f319,f98]) ).
fof(f319,plain,
( empty(relation_rng(sK2))
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f363,plain,
( ~ spl14_11
| spl14_12
| spl14_2 ),
inference(avatar_split_clause,[],[f352,f136,f361,f357]) ).
fof(f324,plain,
( spl14_9
| spl14_10 ),
inference(avatar_split_clause,[],[f301,f321,f317]) ).
fof(f311,plain,
( spl14_7
| spl14_8 ),
inference(avatar_split_clause,[],[f292,f308,f304]) ).
fof(f308,plain,
( spl14_8
<=> empty(powerset(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f300,plain,
( spl14_5
| ~ spl14_6 ),
inference(avatar_split_clause,[],[f291,f297,f294]) ).
fof(f188,plain,
( spl14_3
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f175,f185,f181]) ).
fof(f181,plain,
( spl14_3
<=> empty(powerset(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f185,plain,
( spl14_4
<=> in(powerset(empty_set),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f139,plain,
( spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f91,f136,f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SEU266+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 12:12:00 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (22458)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (22461)WARNING: value z3 for option sas not known
% 0.15/0.32 % (22461)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)
% 0.15/0.32 % (22464)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)
% 0.15/0.32 % (22460)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (22465)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)
% 0.15/0.32 % (22463)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)
% 0.15/0.32 % (22462)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (22459)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.35 TRYING [3]
% 0.15/0.36 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.40 % (22461)First to succeed.
% 0.15/0.42 % (22461)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22458"
% 0.15/0.42 % (22461)Refutation found. Thanks to Tanya!
% 0.15/0.42 % SZS status Theorem for theBenchmark
% 0.15/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.43 % (22461)------------------------------
% 0.15/0.43 % (22461)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.43 % (22461)Termination reason: Refutation
% 0.15/0.43
% 0.15/0.43 % (22461)Memory used [KB]: 2238
% 0.15/0.43 % (22461)Time elapsed: 0.098 s
% 0.15/0.43 % (22461)Instructions burned: 216 (million)
% 0.15/0.43 % (22458)Success in time 0.117 s
%------------------------------------------------------------------------------