TSTP Solution File: SET681+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET681+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:22:07 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1015,plain,
$false,
inference(avatar_sat_refutation,[],[f290,f374,f564,f574,f595,f605,f707,f710,f712,f719,f724,f726,f884,f957,f964,f966,f992,f1014]) ).
fof(f1014,plain,
( ~ spl20_3
| ~ spl20_4 ),
inference(avatar_contradiction_clause,[],[f1013]) ).
fof(f1013,plain,
( $false
| ~ spl20_3
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f1010,f373]) ).
fof(f373,plain,
( member(sK7,range_of(sK6))
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f371,plain,
( spl20_4
<=> member(sK7,range_of(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f1010,plain,
( ~ member(sK7,range_of(sK6))
| ~ spl20_3
| ~ spl20_4 ),
inference(resolution,[],[f970,f768]) ).
fof(f768,plain,
( ~ member(sK13(sK7,sK6),sK5)
| ~ spl20_3
| ~ spl20_4 ),
inference(resolution,[],[f766,f406]) ).
fof(f406,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f405,f291]) ).
fof(f291,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f207,f135]) ).
fof(f135,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31) ).
fof(f207,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150]) ).
fof(f150,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK12(X0),X0)
& ilf_type(sK12(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f96,f97]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK12(X0),X0)
& ilf_type(sK12(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
fof(f206,plain,
! [X0] :
( empty(X0)
| ilf_type(sK12(X0),set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151]) ).
fof(f151,plain,
! [X0] :
( empty(X0)
| ilf_type(sK12(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f98]) ).
fof(f205,plain,
! [X0] :
( member(sK12(X0),X0)
| empty(X0) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152]) ).
fof(f152,plain,
! [X0] :
( empty(X0)
| member(sK12(X0),X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f98]) ).
fof(f204,plain,
! [X0] : sP1(X0),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149]) ).
fof(f149,plain,
! [X0] :
( sP1(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( sP1(X0)
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f42,f74,f73]) ).
fof(f73,plain,
! [X0] :
( sP0(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f74,plain,
! [X0] :
( ( relation_like(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f42,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( relation_like(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
=> ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24) ).
fof(f143,plain,
! [X0,X4] :
( ilf_type(sK10(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK9(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK9(X0),X0)
& ilf_type(sK9(X0),set_type) ) )
& ( ! [X4] :
( ( ordered_pair(sK10(X4),sK11(X4)) = X4
& ilf_type(sK11(X4),set_type)
& ilf_type(sK10(X4),set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f90,f93,f92,f91]) ).
fof(f91,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) )
=> ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK9(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK9(X0),X0)
& ilf_type(sK9(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
=> ( ? [X6] :
( ordered_pair(sK10(X4),X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(sK10(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X4] :
( ? [X6] :
( ordered_pair(sK10(X4),X6) = X4
& ilf_type(X6,set_type) )
=> ( ordered_pair(sK10(X4),sK11(X4)) = X4
& ilf_type(sK11(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f144,plain,
! [X0,X4] :
( ilf_type(sK11(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f145,plain,
! [X0,X4] :
( ordered_pair(sK10(X4),sK11(X4)) = X4
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f146,plain,
! [X0] :
( sP0(X0)
| ilf_type(sK9(X0),set_type) ),
inference(cnf_transformation,[],[f94]) ).
fof(f147,plain,
! [X0] :
( member(sK9(X0),X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f148,plain,
! [X2,X3,X0] :
( sP0(X0)
| ordered_pair(X2,X3) != sK9(X0)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f94]) ).
fof(f141,plain,
! [X0] :
( sP0(X0)
| ~ relation_like(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( ( relation_like(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ relation_like(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f74]) ).
fof(f142,plain,
! [X0] :
( relation_like(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f203,plain,
! [X0] : ~ empty(power_set(X0)),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139]) ).
fof(f139,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23) ).
fof(f202,plain,
! [X0] : ilf_type(power_set(X0),set_type),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140]) ).
fof(f140,plain,
! [X0] :
( ilf_type(power_set(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f40]) ).
fof(f201,plain,
! [X0] : ilf_type(singleton(X0),set_type),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138]) ).
fof(f138,plain,
! [X0] :
( ilf_type(singleton(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ilf_type(singleton(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(singleton(X0),set_type) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).
fof(f137,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(range_of(X0),set_type) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14) ).
fof(f136,plain,
! [X0] :
( ilf_type(domain_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ilf_type(domain_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(domain_of(X0),set_type) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11) ).
fof(f126,plain,
~ empty(sK4),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( ! [X4] :
( ~ member(ordered_pair(X4,sK7),sK6)
| ~ ilf_type(X4,member_type(sK5)) )
| ~ member(sK7,range(sK5,sK4,sK6)) )
& ( ( member(ordered_pair(sK8,sK7),sK6)
& ilf_type(sK8,member_type(sK5)) )
| member(sK7,range(sK5,sK4,sK6)) )
& ilf_type(sK7,member_type(sK4))
& ilf_type(sK6,relation_type(sK5,sK4))
& ilf_type(sK5,set_type)
& ~ empty(sK5)
& ilf_type(sK4,set_type)
& ~ empty(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f81,f86,f85,f84,f83,f82]) ).
fof(f82,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,member_type(X1)) )
| ~ member(X3,range(X1,X0,X2)) )
& ( ? [X5] :
( member(ordered_pair(X5,X3),X2)
& ilf_type(X5,member_type(X1)) )
| member(X3,range(X1,X0,X2)) )
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,member_type(X1)) )
| ~ member(X3,range(X1,sK4,X2)) )
& ( ? [X5] :
( member(ordered_pair(X5,X3),X2)
& ilf_type(X5,member_type(X1)) )
| member(X3,range(X1,sK4,X2)) )
& ilf_type(X3,member_type(sK4)) )
& ilf_type(X2,relation_type(X1,sK4)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(sK4,set_type)
& ~ empty(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,member_type(X1)) )
| ~ member(X3,range(X1,sK4,X2)) )
& ( ? [X5] :
( member(ordered_pair(X5,X3),X2)
& ilf_type(X5,member_type(X1)) )
| member(X3,range(X1,sK4,X2)) )
& ilf_type(X3,member_type(sK4)) )
& ilf_type(X2,relation_type(X1,sK4)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,member_type(sK5)) )
| ~ member(X3,range(sK5,sK4,X2)) )
& ( ? [X5] :
( member(ordered_pair(X5,X3),X2)
& ilf_type(X5,member_type(sK5)) )
| member(X3,range(sK5,sK4,X2)) )
& ilf_type(X3,member_type(sK4)) )
& ilf_type(X2,relation_type(sK5,sK4)) )
& ilf_type(sK5,set_type)
& ~ empty(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,member_type(sK5)) )
| ~ member(X3,range(sK5,sK4,X2)) )
& ( ? [X5] :
( member(ordered_pair(X5,X3),X2)
& ilf_type(X5,member_type(sK5)) )
| member(X3,range(sK5,sK4,X2)) )
& ilf_type(X3,member_type(sK4)) )
& ilf_type(X2,relation_type(sK5,sK4)) )
=> ( ? [X3] :
( ( ! [X4] :
( ~ member(ordered_pair(X4,X3),sK6)
| ~ ilf_type(X4,member_type(sK5)) )
| ~ member(X3,range(sK5,sK4,sK6)) )
& ( ? [X5] :
( member(ordered_pair(X5,X3),sK6)
& ilf_type(X5,member_type(sK5)) )
| member(X3,range(sK5,sK4,sK6)) )
& ilf_type(X3,member_type(sK4)) )
& ilf_type(sK6,relation_type(sK5,sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X3] :
( ( ! [X4] :
( ~ member(ordered_pair(X4,X3),sK6)
| ~ ilf_type(X4,member_type(sK5)) )
| ~ member(X3,range(sK5,sK4,sK6)) )
& ( ? [X5] :
( member(ordered_pair(X5,X3),sK6)
& ilf_type(X5,member_type(sK5)) )
| member(X3,range(sK5,sK4,sK6)) )
& ilf_type(X3,member_type(sK4)) )
=> ( ( ! [X4] :
( ~ member(ordered_pair(X4,sK7),sK6)
| ~ ilf_type(X4,member_type(sK5)) )
| ~ member(sK7,range(sK5,sK4,sK6)) )
& ( ? [X5] :
( member(ordered_pair(X5,sK7),sK6)
& ilf_type(X5,member_type(sK5)) )
| member(sK7,range(sK5,sK4,sK6)) )
& ilf_type(sK7,member_type(sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X5] :
( member(ordered_pair(X5,sK7),sK6)
& ilf_type(X5,member_type(sK5)) )
=> ( member(ordered_pair(sK8,sK7),sK6)
& ilf_type(sK8,member_type(sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,member_type(X1)) )
| ~ member(X3,range(X1,X0,X2)) )
& ( ? [X5] :
( member(ordered_pair(X5,X3),X2)
& ilf_type(X5,member_type(X1)) )
| member(X3,range(X1,X0,X2)) )
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,member_type(X1)) )
| ~ member(X3,range(X1,X0,X2)) )
& ( ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,member_type(X1)) )
| member(X3,range(X1,X0,X2)) )
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,member_type(X1)) )
| ~ member(X3,range(X1,X0,X2)) )
& ( ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,member_type(X1)) )
| member(X3,range(X1,X0,X2)) )
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( member(X3,range(X1,X0,X2))
<~> ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,member_type(X1)) ) )
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( member(X3,range(X1,X0,X2))
<~> ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,member_type(X1)) ) )
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ! [X3] :
( ilf_type(X3,member_type(X0))
=> ( member(X3,range(X1,X0,X2))
<=> ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ! [X3] :
( ilf_type(X3,member_type(X0))
=> ( member(X3,range(X1,X0,X2))
<=> ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_48) ).
fof(f127,plain,
ilf_type(sK4,set_type),
inference(cnf_transformation,[],[f87]) ).
fof(f128,plain,
~ empty(sK5),
inference(cnf_transformation,[],[f87]) ).
fof(f129,plain,
ilf_type(sK5,set_type),
inference(cnf_transformation,[],[f87]) ).
fof(f130,plain,
ilf_type(sK6,relation_type(sK5,sK4)),
inference(cnf_transformation,[],[f87]) ).
fof(f131,plain,
ilf_type(sK7,member_type(sK4)),
inference(cnf_transformation,[],[f87]) ).
fof(f132,plain,
( ilf_type(sK8,member_type(sK5))
| member(sK7,range(sK5,sK4,sK6)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f133,plain,
( member(ordered_pair(sK8,sK7),sK6)
| member(sK7,range(sK5,sK4,sK6)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f134,plain,
! [X4] :
( ~ member(ordered_pair(X4,sK7),sK6)
| ~ ilf_type(X4,member_type(sK5))
| ~ member(sK7,range(sK5,sK4,sK6)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f405,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f272,f135]) ).
fof(f272,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264,f265,f187,f266,f267,f188,f268,f269,f189,f190,f270,f271,f192]) ).
fof(f192,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8) ).
fof(f271,plain,
! [X0,X1] : ilf_type(sK16(X0,X1),relation_type(X1,X0)),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264,f265,f187,f266,f267,f188,f268,f269,f189,f190,f270]) ).
fof(f270,plain,
! [X0,X1] :
( ilf_type(sK16(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264,f265,f187,f266,f267,f188,f268,f269,f189,f190]) ).
fof(f190,plain,
! [X0,X1] :
( ilf_type(sK16(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ilf_type(sK16(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f65,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,X0))
=> ilf_type(sK16(X0,X1),relation_type(X1,X0)) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ? [X2] : ilf_type(X2,relation_type(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
fof(f189,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
fof(f269,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264,f265,f187,f266,f267,f188,f268]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264,f265,f187,f266,f267,f188]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30) ).
fof(f267,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264,f265,f187,f266]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264,f265,f187]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264]) ).
fof(f264,plain,
! [X2,X0,X1] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186]) ).
fof(f186,plain,
! [X2,X0,X1] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range_of(X2) = range(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29) ).
fof(f263,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain_of(X2) = domain(X0,X1,X2) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262]) ).
fof(f262,plain,
! [X2,X0,X1] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185]) ).
fof(f185,plain,
! [X2,X0,X1] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain_of(X2) = domain(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
fof(f261,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| member(X2,X0)
| ~ ilf_type(X4,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260]) ).
fof(f260,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259]) ).
fof(f259,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258]) ).
fof(f258,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183]) ).
fof(f183,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X1))
=> ( member(ordered_pair(X2,X3),X4)
=> ( member(X3,X1)
& member(X2,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| member(X3,X1)
| ~ ilf_type(X4,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X4] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255]) ).
fof(f255,plain,
! [X2,X3,X0,X1,X4] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254]) ).
fof(f254,plain,
! [X2,X3,X0,X1,X4] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184]) ).
fof(f184,plain,
! [X2,X3,X0,X1,X4] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f59]) ).
fof(f253,plain,
! [X2,X3] : ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2)),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252]) ).
fof(f252,plain,
! [X2,X3] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(X3,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251]) ).
fof(f251,plain,
! [X2,X3] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(ordered_pair(X2,X3),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250]) ).
fof(f250,plain,
! [X2,X3,X1] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(ordered_pair(X2,X3),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(ordered_pair(X2,X3),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,plain,
! [X2,X3,X0,X1,X4] :
( unordered_pair(unordered_pair(X2,X3),singleton(X2)) = X4
| ordered_pair(X2,X3) != X4
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ( ordered_pair(X2,X3) = X4
| unordered_pair(unordered_pair(X2,X3),singleton(X2)) != X4 )
& ( unordered_pair(unordered_pair(X2,X3),singleton(X2)) = X4
| ordered_pair(X2,X3) != X4 ) )
| ~ ilf_type(X4,set_type) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ordered_pair(X2,X3) = X4
<=> unordered_pair(unordered_pair(X2,X3),singleton(X2)) = X4 )
| ~ ilf_type(X4,set_type) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,set_type)
=> ( ordered_pair(X2,X3) = X4
<=> unordered_pair(unordered_pair(X2,X3),singleton(X2)) = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f249,plain,
! [X2,X3] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(unordered_pair(unordered_pair(X2,X3),singleton(X2)),set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248]) ).
fof(f248,plain,
! [X2,X3] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(unordered_pair(unordered_pair(X2,X3),singleton(X2)),set_type)
| ~ ilf_type(X3,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247]) ).
fof(f247,plain,
! [X2,X3] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(unordered_pair(unordered_pair(X2,X3),singleton(X2)),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246]) ).
fof(f246,plain,
! [X2,X3,X1] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(unordered_pair(unordered_pair(X2,X3),singleton(X2)),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(unordered_pair(unordered_pair(X2,X3),singleton(X2)),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X2,X3,X0,X1,X4] :
( ordered_pair(X2,X3) = X4
| unordered_pair(unordered_pair(X2,X3),singleton(X2)) != X4
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f116]) ).
fof(f245,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| member(X0,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244]) ).
fof(f244,plain,
! [X2,X0,X1] :
( member(X0,domain_of(X2))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179]) ).
fof(f179,plain,
! [X2,X0,X1] :
( member(X0,domain_of(X2))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),X2)
=> ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242]) ).
fof(f242,plain,
! [X2,X0,X1] :
( member(X1,range_of(X2))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180]) ).
fof(f180,plain,
! [X2,X0,X1] :
( member(X1,range_of(X2))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f56]) ).
fof(f241,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240]) ).
fof(f240,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177]) ).
fof(f177,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f239,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238]) ).
fof(f238,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178]) ).
fof(f178,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f115]) ).
fof(f237,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236]) ).
fof(f236,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235]) ).
fof(f235,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173]) ).
fof(f173,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK15(X0,X1),X1)
& member(sK15(X0,X1),X0)
& ilf_type(sK15(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f112,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK15(X0,X1),X1)
& member(sK15(X0,X1),X0)
& ilf_type(sK15(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f234,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK15(X0,X1),set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233]) ).
fof(f233,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK15(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174]) ).
fof(f174,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK15(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f114]) ).
fof(f232,plain,
! [X0,X1] :
( member(sK15(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231]) ).
fof(f231,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK15(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175]) ).
fof(f175,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK15(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f114]) ).
fof(f230,plain,
! [X0,X1] :
( ~ member(sK15(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229]) ).
fof(f229,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK15(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176]) ).
fof(f176,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK15(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f114]) ).
fof(f228,plain,
! [X0,X1] : sP3(X0,X1),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227]) ).
fof(f227,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172]) ).
fof(f172,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( sP3(X0,X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f51,f77,f76]) ).
fof(f76,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ! [X2] :
( ( member(X2,X0)
<=> member(X2,X1) )
| ~ ilf_type(X2,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f77,plain,
! [X0,X1] :
( ( X0 = X1
<=> sP2(X1,X0) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ! [X2] :
( ( member(X2,X0)
<=> member(X2,X1) )
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
<=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
fof(f226,plain,
! [X3,X0,X1] :
( ~ sP2(X0,X1)
| ~ member(X3,X1)
| member(X3,X0) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167]) ).
fof(f167,plain,
! [X3,X0,X1] :
( member(X3,X0)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ member(sK14(X0,X1),X0)
| ~ member(sK14(X0,X1),X1) )
& ( member(sK14(X0,X1),X0)
| member(sK14(X0,X1),X1) )
& ilf_type(sK14(X0,X1),set_type) ) )
& ( ! [X3] :
( ( ( member(X3,X1)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X1) ) )
| ~ ilf_type(X3,set_type) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f108,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) )
& ilf_type(X2,set_type) )
=> ( ( ~ member(sK14(X0,X1),X0)
| ~ member(sK14(X0,X1),X1) )
& ( member(sK14(X0,X1),X0)
| member(sK14(X0,X1),X1) )
& ilf_type(sK14(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) )
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( ( ( member(X3,X1)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X1) ) )
| ~ ilf_type(X3,set_type) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) )
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| ~ ilf_type(X2,set_type) )
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) )
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| ~ ilf_type(X2,set_type) )
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f76]) ).
fof(f225,plain,
! [X3,X0,X1] :
( ~ sP2(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168]) ).
fof(f168,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f169,plain,
! [X0,X1] :
( sP2(X0,X1)
| ilf_type(sK14(X0,X1),set_type) ),
inference(cnf_transformation,[],[f110]) ).
fof(f170,plain,
! [X0,X1] :
( member(sK14(X0,X1),X1)
| member(sK14(X0,X1),X0)
| sP2(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f171,plain,
! [X0,X1] :
( ~ member(sK14(X0,X1),X1)
| ~ member(sK14(X0,X1),X0)
| sP2(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f166,plain,
! [X0,X1] :
( X0 = X1
| ~ sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( ( X0 = X1
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| X0 != X1 ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f77]) ).
fof(f224,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223]) ).
fof(f223,plain,
! [X3,X0,X1] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163]) ).
fof(f163,plain,
! [X3,X0,X1] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
fof(f222,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f50]) ).
fof(f220,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219]) ).
fof(f219,plain,
! [X0,X1] :
( unordered_pair(X0,X1) = unordered_pair(X1,X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162]) ).
fof(f162,plain,
! [X0,X1] :
( unordered_pair(X0,X1) = unordered_pair(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( unordered_pair(X0,X1) = unordered_pair(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> unordered_pair(X0,X1) = unordered_pair(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16) ).
fof(f218,plain,
! [X0,X1] : ilf_type(ordered_pair(X0,X1),set_type),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217]) ).
fof(f217,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161]) ).
fof(f161,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(ordered_pair(X0,X1),set_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
fof(f216,plain,
! [X0,X1] : ilf_type(unordered_pair(X0,X1),set_type),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215]) ).
fof(f215,plain,
! [X0,X1] :
( ilf_type(unordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ilf_type(unordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ilf_type(unordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(unordered_pair(X0,X1),set_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
fof(f214,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),set_type),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213]) ).
fof(f213,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),set_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).
fof(f212,plain,
! [X0,X1] :
( ilf_type(sK13(X0,X1),set_type)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156]) ).
fof(f156,plain,
! [X0,X1] :
( ilf_type(sK13(X0,X1),set_type)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(sK13(X0,X1),X0),X1)
& ilf_type(sK13(X0,X1),set_type) )
| ~ member(X0,range_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f102,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X3,X0),X1)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(sK13(X0,X1),X0),X1)
& ilf_type(sK13(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X3] :
( member(ordered_pair(X3,X0),X1)
& ilf_type(X3,set_type) )
| ~ member(X0,range_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) )
| ~ member(X0,range_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f211,plain,
! [X0,X1] :
( member(ordered_pair(sK13(X0,X1),X0),X1)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157]) ).
fof(f157,plain,
! [X0,X1] :
( member(ordered_pair(sK13(X0,X1),X0),X1)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f104]) ).
fof(f210,plain,
! [X2,X0,X1] :
( member(X0,range_of(X1))
| ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( member(X0,range_of(X1))
| ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f104]) ).
fof(f209,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153]) ).
fof(f153,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).
fof(f208,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200]) ).
fof(f200,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f100]) ).
fof(f766,plain,
( ~ ilf_type(sK13(sK7,sK6),member_type(sK5))
| ~ spl20_3
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f765,f368]) ).
fof(f368,plain,
( ilf_type(sK6,binary_relation_type)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f367,plain,
( spl20_3
<=> ilf_type(sK6,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f765,plain,
( ~ ilf_type(sK6,binary_relation_type)
| ~ ilf_type(sK13(sK7,sK6),member_type(sK5))
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f753,f373]) ).
fof(f753,plain,
( ~ member(sK7,range_of(sK6))
| ~ ilf_type(sK6,binary_relation_type)
| ~ ilf_type(sK13(sK7,sK6),member_type(sK5))
| ~ spl20_4 ),
inference(resolution,[],[f211,f714]) ).
fof(f714,plain,
( ! [X4] :
( ~ member(ordered_pair(X4,sK7),sK6)
| ~ ilf_type(X4,member_type(sK5)) )
| ~ spl20_4 ),
inference(global_subsumption,[],[f134,f133,f136,f137,f138,f201,f140,f202,f139,f142,f141,f148,f146,f145,f144,f143,f149,f152,f151,f206,f150,f207,f200,f153,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f164,f221,f163,f223,f166,f169,f168,f167,f172,f227,f176,f229,f175,f231,f174,f233,f234,f173,f235,f236,f178,f238,f177,f240,f180,f242,f179,f244,f198,f246,f247,f248,f249,f199,f250,f251,f252,f184,f254,f255,f256,f183,f258,f259,f260,f185,f262,f186,f264,f187,f266,f188,f268,f189,f190,f270,f192,f272,f191,f273,f193,f194,f195,f126,f128,f204,f127,f129,f135,f196,f203,f228,f131,f130,f276,f208,f209,f277,f274,f279,f280,f147,f205,f220,f271,f275,f132,f291,f292,f297,f225,f226,f230,f232,f300,f299,f239,f305,f241,f237,f311,f312,f315,f253,f317,f318,f320,f321,f322,f316,f325,f326,f328,f329,f330,f331,f222,f319,f332,f333,f334,f335,f336,f337,f338,f303,f313,f340,f341,f339,f342,f314,f344,f345,f343,f327,f348,f349,f350,f351,f352,f353,f354,f224,f356,f357,f309,f358,f359,f360,f361,f362,f243,f364,f365,f245,f378,f379,f263,f382,f383,f380,f381,f265,f386,f387,f384,f267,f389,f392,f393,f394,f395,f396,f385,f269,f397,f400,f401,f402,f403,f404,f406,f407,f411,f413,f414,f408,f409,f415,f417,f420,f421,f418,f416,f431,f429,f438,f430,f444,f445,f446,f440,f447,f448,f449,f450,f451,f452,f170,f454,f455,f456,f457,f458,f460,f461,f462,f463,f464,f465,f467,f468,f469,f470,f471,f466,f410,f475,f419,f476,f477,f422,f478,f423,f479,f453,f481,f482,f483,f484,f485,f480,f488,f489,f490,f459,f492,f493,f494,f495,f496,f171,f502,f503,f509,f439,f514,f515,f516,f517,f518,f442,f520,f521,f526,f527,f529,f530,f533,f535,f536,f537,f539,f540,f541,f542,f543,f531,f545,f547,f548,f549,f551,f552,f553,f554,f555,f532,f534,f257,f579,f580,f581,f544,f546,f261,f611,f612,f613,f524,f665,f666,f667,f668,f669,f670,f672,f673,f674,f675,f676,f655,f685,f688,f689,f690,f694,f695,f687,f692,f693,f691,f686,f698,f699,f703,f701,f373,f713]) ).
fof(f713,plain,
! [X4] :
( ~ member(sK7,range_of(sK6))
| ~ member(ordered_pair(X4,sK7),sK6)
| ~ ilf_type(X4,member_type(sK5)) ),
inference(forward_demodulation,[],[f134,f384]) ).
fof(f701,plain,
relation_like(sK6),
inference(resolution,[],[f686,f130]) ).
fof(f703,plain,
! [X0,X1] : relation_like(sK16(X0,X1)),
inference(resolution,[],[f686,f271]) ).
fof(f699,plain,
! [X2,X0,X1] : relation_like(domain_of(sK16(X0,cross_product(X1,X2)))),
inference(resolution,[],[f686,f394]) ).
fof(f698,plain,
! [X2,X0,X1] : relation_like(range_of(sK16(cross_product(X0,X1),X2))),
inference(resolution,[],[f686,f402]) ).
fof(f686,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f685,f222]) ).
fof(f691,plain,
! [X0,X1] : relation_like(sK12(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f685,f415]) ).
fof(f693,plain,
! [X0,X1] : relation_like(sK18(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f685,f305]) ).
fof(f692,plain,
! [X0,X1] : relation_like(sK17(cross_product(X0,X1))),
inference(resolution,[],[f685,f274]) ).
fof(f687,plain,
! [X0,X1] : relation_like(cross_product(X0,X1)),
inference(resolution,[],[f685,f408]) ).
fof(f695,plain,
! [X2,X3,X0,X1] :
( relation_like(range(X0,cross_product(X1,X2),X3))
| ~ ilf_type(X3,relation_type(X0,cross_product(X1,X2))) ),
inference(resolution,[],[f685,f269]) ).
fof(f694,plain,
! [X2,X0,X1] : relation_like(domain_of(sK16(X0,cross_product(X1,X2)))),
inference(resolution,[],[f685,f393]) ).
fof(f690,plain,
! [X0,X1] :
( relation_like(sK9(power_set(cross_product(X0,X1))))
| sP0(power_set(cross_product(X0,X1))) ),
inference(resolution,[],[f685,f410]) ).
fof(f689,plain,
! [X2,X3,X0,X1] :
( relation_like(domain(cross_product(X0,X1),X2,X3))
| ~ ilf_type(X3,relation_type(cross_product(X0,X1),X2)) ),
inference(resolution,[],[f685,f267]) ).
fof(f688,plain,
! [X2,X0,X1] : relation_like(range_of(sK16(cross_product(X0,X1),X2))),
inference(resolution,[],[f685,f401]) ).
fof(f685,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f684,f135]) ).
fof(f684,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f189,f135]) ).
fof(f655,plain,
! [X2,X3,X0] :
( ordered_pair(X2,X3) != sK9(X0)
| sP0(X0) ),
inference(subsumption_resolution,[],[f654,f135]) ).
fof(f654,plain,
! [X2,X3,X0] :
( sP0(X0)
| ordered_pair(X2,X3) != sK9(X0)
| ~ ilf_type(X2,set_type) ),
inference(subsumption_resolution,[],[f148,f135]) ).
fof(f676,plain,
! [X0,X1] :
( member(sK14(X0,sK17(X1)),X1)
| member(sK14(X0,sK17(X1)),X0)
| sP2(X0,sK17(X1)) ),
inference(resolution,[],[f524,f170]) ).
fof(f675,plain,
! [X0,X1] :
( member(sK14(X0,sK17(X1)),X1)
| sP2(X0,sK17(X1))
| ~ empty(X0) ),
inference(resolution,[],[f524,f459]) ).
fof(f674,plain,
! [X0] :
( member(sK18(sK12(power_set(sK17(X0)))),X0)
| empty(sK12(power_set(sK17(X0)))) ),
inference(resolution,[],[f524,f439]) ).
fof(f673,plain,
! [X0] :
( member(sK18(sK17(X0)),X0)
| empty(sK17(X0)) ),
inference(resolution,[],[f524,f429]) ).
fof(f672,plain,
! [X0,X1] :
( member(sK15(sK17(X0),X1),X0)
| member(sK17(X0),power_set(X1)) ),
inference(resolution,[],[f524,f232]) ).
fof(f670,plain,
! [X0,X1] :
( member(sK14(sK17(X0),X1),X0)
| member(sK14(sK17(X0),X1),X1)
| sP2(sK17(X0),X1) ),
inference(resolution,[],[f524,f170]) ).
fof(f669,plain,
! [X0,X1] :
( member(sK14(sK17(X0),X1),X0)
| sP2(sK17(X0),X1)
| ~ empty(X1) ),
inference(resolution,[],[f524,f453]) ).
fof(f668,plain,
! [X0] :
( member(sK12(sK12(power_set(sK17(X0)))),X0)
| empty(sK12(power_set(sK17(X0)))) ),
inference(resolution,[],[f524,f314]) ).
fof(f667,plain,
! [X0] :
( member(sK12(sK17(X0)),X0)
| empty(sK17(X0)) ),
inference(resolution,[],[f524,f205]) ).
fof(f666,plain,
! [X0] :
( member(sK9(sK12(power_set(sK17(X0)))),X0)
| sP0(sK12(power_set(sK17(X0)))) ),
inference(resolution,[],[f524,f313]) ).
fof(f665,plain,
! [X0] :
( member(sK9(sK17(X0)),X0)
| sP0(sK17(X0)) ),
inference(resolution,[],[f524,f147]) ).
fof(f524,plain,
! [X0,X1] :
( ~ member(X0,sK17(X1))
| member(X0,X1) ),
inference(resolution,[],[f442,f274]) ).
fof(f613,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,X1)
| ~ ilf_type(power_set(X2),relation_type(X1,X3))
| ~ empty(ordered_pair(X0,X4)) ),
inference(resolution,[],[f261,f299]) ).
fof(f612,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,X1)
| ~ ilf_type(power_set(X2),relation_type(X1,X3))
| ~ ilf_type(ordered_pair(X0,X4),subset_type(X2)) ),
inference(resolution,[],[f261,f430]) ).
fof(f611,plain,
! [X2,X3,X0,X1] :
( member(X0,X1)
| ~ ilf_type(power_set(ordered_pair(X0,X2)),relation_type(X1,X3)) ),
inference(resolution,[],[f261,f300]) ).
fof(f546,plain,
( member(sK12(domain_of(sK6)),sK5)
| empty(domain_of(sK6)) ),
inference(resolution,[],[f531,f205]) ).
fof(f544,plain,
( member(sK9(domain_of(sK6)),sK5)
| sP0(domain_of(sK6)) ),
inference(resolution,[],[f531,f147]) ).
fof(f581,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,X1)
| ~ ilf_type(power_set(X2),relation_type(X3,X1))
| ~ empty(ordered_pair(X4,X0)) ),
inference(resolution,[],[f257,f299]) ).
fof(f580,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,X1)
| ~ ilf_type(power_set(X2),relation_type(X3,X1))
| ~ ilf_type(ordered_pair(X4,X0),subset_type(X2)) ),
inference(resolution,[],[f257,f430]) ).
fof(f579,plain,
! [X2,X3,X0,X1] :
( member(X0,X1)
| ~ ilf_type(power_set(ordered_pair(X2,X0)),relation_type(X3,X1)) ),
inference(resolution,[],[f257,f300]) ).
fof(f534,plain,
( member(sK12(range_of(sK6)),sK4)
| empty(range_of(sK6)) ),
inference(resolution,[],[f530,f205]) ).
fof(f532,plain,
( member(sK9(range_of(sK6)),sK4)
| sP0(range_of(sK6)) ),
inference(resolution,[],[f530,f147]) ).
fof(f555,plain,
! [X0] :
( member(sK14(X0,domain_of(sK6)),sK5)
| member(sK14(X0,domain_of(sK6)),X0)
| sP2(X0,domain_of(sK6)) ),
inference(resolution,[],[f531,f170]) ).
fof(f554,plain,
! [X0] :
( member(sK14(X0,domain_of(sK6)),sK5)
| sP2(X0,domain_of(sK6))
| ~ empty(X0) ),
inference(resolution,[],[f531,f459]) ).
fof(f553,plain,
( member(sK18(sK12(power_set(domain_of(sK6)))),sK5)
| empty(sK12(power_set(domain_of(sK6)))) ),
inference(resolution,[],[f531,f439]) ).
fof(f552,plain,
( member(sK18(domain_of(sK6)),sK5)
| empty(domain_of(sK6)) ),
inference(resolution,[],[f531,f429]) ).
fof(f551,plain,
! [X0] :
( member(sK15(domain_of(sK6),X0),sK5)
| member(domain_of(sK6),power_set(X0)) ),
inference(resolution,[],[f531,f232]) ).
fof(f549,plain,
! [X0] :
( member(sK14(domain_of(sK6),X0),sK5)
| member(sK14(domain_of(sK6),X0),X0)
| sP2(domain_of(sK6),X0) ),
inference(resolution,[],[f531,f170]) ).
fof(f548,plain,
! [X0] :
( member(sK14(domain_of(sK6),X0),sK5)
| sP2(domain_of(sK6),X0)
| ~ empty(X0) ),
inference(resolution,[],[f531,f453]) ).
fof(f547,plain,
( member(sK12(sK12(power_set(domain_of(sK6)))),sK5)
| empty(sK12(power_set(domain_of(sK6)))) ),
inference(resolution,[],[f531,f314]) ).
fof(f545,plain,
( member(sK9(sK12(power_set(domain_of(sK6)))),sK5)
| sP0(sK12(power_set(domain_of(sK6)))) ),
inference(resolution,[],[f531,f313]) ).
fof(f531,plain,
! [X0] :
( ~ member(X0,domain_of(sK6))
| member(X0,sK5) ),
inference(resolution,[],[f442,f392]) ).
fof(f543,plain,
! [X0] :
( member(sK14(X0,range_of(sK6)),sK4)
| member(sK14(X0,range_of(sK6)),X0)
| sP2(X0,range_of(sK6)) ),
inference(resolution,[],[f530,f170]) ).
fof(f542,plain,
! [X0] :
( member(sK14(X0,range_of(sK6)),sK4)
| sP2(X0,range_of(sK6))
| ~ empty(X0) ),
inference(resolution,[],[f530,f459]) ).
fof(f541,plain,
( member(sK18(sK12(power_set(range_of(sK6)))),sK4)
| empty(sK12(power_set(range_of(sK6)))) ),
inference(resolution,[],[f530,f439]) ).
fof(f540,plain,
( member(sK18(range_of(sK6)),sK4)
| empty(range_of(sK6)) ),
inference(resolution,[],[f530,f429]) ).
fof(f539,plain,
! [X0] :
( member(sK15(range_of(sK6),X0),sK4)
| member(range_of(sK6),power_set(X0)) ),
inference(resolution,[],[f530,f232]) ).
fof(f537,plain,
! [X0] :
( member(sK14(range_of(sK6),X0),sK4)
| member(sK14(range_of(sK6),X0),X0)
| sP2(range_of(sK6),X0) ),
inference(resolution,[],[f530,f170]) ).
fof(f536,plain,
! [X0] :
( member(sK14(range_of(sK6),X0),sK4)
| sP2(range_of(sK6),X0)
| ~ empty(X0) ),
inference(resolution,[],[f530,f453]) ).
fof(f535,plain,
( member(sK12(sK12(power_set(range_of(sK6)))),sK4)
| empty(sK12(power_set(range_of(sK6)))) ),
inference(resolution,[],[f530,f314]) ).
fof(f533,plain,
( member(sK9(sK12(power_set(range_of(sK6)))),sK4)
| sP0(sK12(power_set(range_of(sK6)))) ),
inference(resolution,[],[f530,f313]) ).
fof(f530,plain,
! [X0] :
( ~ member(X0,range_of(sK6))
| member(X0,sK4) ),
inference(resolution,[],[f442,f400]) ).
fof(f529,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| member(X0,cross_product(X2,X3))
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(resolution,[],[f442,f222]) ).
fof(f527,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,range(X1,X2,X3))
| member(X0,X2)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(resolution,[],[f442,f269]) ).
fof(f526,plain,
! [X2,X0,X1] :
( ~ member(X0,domain_of(sK16(X1,X2)))
| member(X0,X2) ),
inference(resolution,[],[f442,f393]) ).
fof(f521,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,domain(X1,X2,X3))
| member(X0,X1)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(resolution,[],[f442,f267]) ).
fof(f520,plain,
! [X2,X0,X1] :
( ~ member(X0,range_of(sK16(X1,X2)))
| member(X0,X1) ),
inference(resolution,[],[f442,f401]) ).
fof(f442,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(resolution,[],[f430,f237]) ).
fof(f518,plain,
! [X0] :
( empty(sK12(power_set(sK18(power_set(X0)))))
| member(sK18(sK12(power_set(sK18(power_set(X0))))),X0) ),
inference(resolution,[],[f439,f440]) ).
fof(f517,plain,
! [X0] :
( empty(sK12(power_set(sK12(power_set(X0)))))
| member(sK18(sK12(power_set(sK12(power_set(X0))))),X0) ),
inference(resolution,[],[f439,f312]) ).
fof(f516,plain,
! [X0] :
( empty(sK12(power_set(sK9(power_set(X0)))))
| member(sK18(sK12(power_set(sK9(power_set(X0))))),X0)
| sP0(power_set(X0)) ),
inference(resolution,[],[f439,f309]) ).
fof(f515,plain,
! [X0,X1] :
( empty(sK12(power_set(power_set(X0))))
| ~ member(X1,sK18(sK12(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f439,f237]) ).
fof(f514,plain,
! [X0] :
( empty(sK12(power_set(power_set(X0))))
| ilf_type(sK18(sK12(power_set(power_set(X0)))),subset_type(X0)) ),
inference(resolution,[],[f439,f407]) ).
fof(f439,plain,
! [X0] :
( member(sK18(sK12(power_set(X0))),X0)
| empty(sK12(power_set(X0))) ),
inference(resolution,[],[f429,f312]) ).
fof(f509,plain,
! [X0] : sP2(X0,X0),
inference(subsumption_resolution,[],[f506,f465]) ).
fof(f506,plain,
! [X0] :
( ~ member(sK14(X0,X0),X0)
| sP2(X0,X0) ),
inference(duplicate_literal_removal,[],[f499]) ).
fof(f499,plain,
! [X0] :
( ~ member(sK14(X0,X0),X0)
| sP2(X0,X0)
| sP2(X0,X0) ),
inference(resolution,[],[f171,f465]) ).
fof(f503,plain,
! [X0,X1] :
( ~ member(sK14(X0,power_set(X1)),X0)
| sP2(X0,power_set(X1))
| ~ empty(sK14(X0,power_set(X1))) ),
inference(resolution,[],[f171,f299]) ).
fof(f502,plain,
! [X0,X1] :
( ~ member(sK14(X0,power_set(X1)),X0)
| sP2(X0,power_set(X1))
| ~ ilf_type(sK14(X0,power_set(X1)),subset_type(X1)) ),
inference(resolution,[],[f171,f430]) ).
fof(f496,plain,
! [X0,X1] :
( sP2(X0,sK18(power_set(X1)))
| ~ empty(X0)
| member(sK14(X0,sK18(power_set(X1))),X1) ),
inference(resolution,[],[f459,f440]) ).
fof(f495,plain,
! [X0,X1] :
( sP2(X0,sK12(power_set(X1)))
| ~ empty(X0)
| member(sK14(X0,sK12(power_set(X1))),X1) ),
inference(resolution,[],[f459,f312]) ).
fof(f494,plain,
! [X0,X1] :
( sP2(X0,sK9(power_set(X1)))
| ~ empty(X0)
| member(sK14(X0,sK9(power_set(X1))),X1)
| sP0(power_set(X1)) ),
inference(resolution,[],[f459,f309]) ).
fof(f493,plain,
! [X2,X0,X1] :
( sP2(X0,power_set(X1))
| ~ empty(X0)
| ~ member(X2,sK14(X0,power_set(X1)))
| member(X2,X1) ),
inference(resolution,[],[f459,f237]) ).
fof(f492,plain,
! [X0,X1] :
( sP2(X0,power_set(X1))
| ~ empty(X0)
| ilf_type(sK14(X0,power_set(X1)),subset_type(X1)) ),
inference(resolution,[],[f459,f407]) ).
fof(f459,plain,
! [X0,X1] :
( member(sK14(X0,X1),X1)
| sP2(X0,X1)
| ~ empty(X0) ),
inference(resolution,[],[f170,f291]) ).
fof(f490,plain,
! [X0,X1] :
( sK12(power_set(sK12(power_set(X0)))) = X1
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f489,f343]) ).
fof(f489,plain,
! [X0,X1] :
( ~ empty(X1)
| sK12(power_set(X1)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f488,f343]) ).
fof(f488,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| X0 = X1 ),
inference(resolution,[],[f480,f297]) ).
fof(f480,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f453,f291]) ).
fof(f485,plain,
! [X0,X1] :
( sP2(sK18(power_set(X0)),X1)
| ~ empty(X1)
| member(sK14(sK18(power_set(X0)),X1),X0) ),
inference(resolution,[],[f453,f440]) ).
fof(f484,plain,
! [X0,X1] :
( sP2(sK12(power_set(X0)),X1)
| ~ empty(X1)
| member(sK14(sK12(power_set(X0)),X1),X0) ),
inference(resolution,[],[f453,f312]) ).
fof(f483,plain,
! [X0,X1] :
( sP2(sK9(power_set(X0)),X1)
| ~ empty(X1)
| member(sK14(sK9(power_set(X0)),X1),X0)
| sP0(power_set(X0)) ),
inference(resolution,[],[f453,f309]) ).
fof(f482,plain,
! [X2,X0,X1] :
( sP2(power_set(X0),X1)
| ~ empty(X1)
| ~ member(X2,sK14(power_set(X0),X1))
| member(X2,X0) ),
inference(resolution,[],[f453,f237]) ).
fof(f481,plain,
! [X0,X1] :
( sP2(power_set(X0),X1)
| ~ empty(X1)
| ilf_type(sK14(power_set(X0),X1),subset_type(X0)) ),
inference(resolution,[],[f453,f407]) ).
fof(f453,plain,
! [X0,X1] :
( member(sK14(X0,X1),X0)
| sP2(X0,X1)
| ~ empty(X1) ),
inference(resolution,[],[f170,f291]) ).
fof(f479,plain,
! [X2,X0,X1] :
( domain_of(sK12(power_set(X0))) = domain(X1,X2,sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f423,f343]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(X0) = domain(X1,X2,X0) ),
inference(resolution,[],[f418,f263]) ).
fof(f478,plain,
! [X2,X0,X1] :
( range_of(sK12(power_set(X0))) = range(X1,X2,sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f422,f343]) ).
fof(f422,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(X0) = range(X1,X2,X0) ),
inference(resolution,[],[f418,f265]) ).
fof(f477,plain,
! [X0,X1] : domain_of(sK12(power_set(cross_product(X0,X1)))) = domain(X0,X1,sK12(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f419,f263]) ).
fof(f476,plain,
! [X0,X1] : range_of(sK12(power_set(cross_product(X0,X1)))) = range(X0,X1,sK12(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f419,f265]) ).
fof(f419,plain,
! [X0,X1] : ilf_type(sK12(power_set(cross_product(X0,X1))),relation_type(X0,X1)),
inference(resolution,[],[f415,f224]) ).
fof(f475,plain,
! [X0,X1] :
( sP0(power_set(cross_product(X0,X1)))
| ilf_type(sK9(power_set(cross_product(X0,X1))),relation_type(X0,X1)) ),
inference(resolution,[],[f410,f224]) ).
fof(f410,plain,
! [X0] :
( ilf_type(sK9(power_set(X0)),subset_type(X0))
| sP0(power_set(X0)) ),
inference(resolution,[],[f407,f147]) ).
fof(f466,plain,
! [X0] :
( sP2(X0,X0)
| ~ empty(X0) ),
inference(resolution,[],[f465,f291]) ).
fof(f471,plain,
! [X0] :
( sP2(sK18(power_set(X0)),sK18(power_set(X0)))
| member(sK14(sK18(power_set(X0)),sK18(power_set(X0))),X0) ),
inference(resolution,[],[f465,f440]) ).
fof(f470,plain,
! [X0] :
( sP2(sK12(power_set(X0)),sK12(power_set(X0)))
| member(sK14(sK12(power_set(X0)),sK12(power_set(X0))),X0) ),
inference(resolution,[],[f465,f312]) ).
fof(f469,plain,
! [X0] :
( sP2(sK9(power_set(X0)),sK9(power_set(X0)))
| member(sK14(sK9(power_set(X0)),sK9(power_set(X0))),X0)
| sP0(power_set(X0)) ),
inference(resolution,[],[f465,f309]) ).
fof(f468,plain,
! [X0,X1] :
( sP2(power_set(X0),power_set(X0))
| ~ member(X1,sK14(power_set(X0),power_set(X0)))
| member(X1,X0) ),
inference(resolution,[],[f465,f237]) ).
fof(f467,plain,
! [X0] :
( sP2(power_set(X0),power_set(X0))
| ilf_type(sK14(power_set(X0),power_set(X0)),subset_type(X0)) ),
inference(resolution,[],[f465,f407]) ).
fof(f465,plain,
! [X0] :
( member(sK14(X0,X0),X0)
| sP2(X0,X0) ),
inference(factoring,[],[f170]) ).
fof(f464,plain,
! [X0,X1] :
( member(sK14(sK18(power_set(X0)),X1),X1)
| sP2(sK18(power_set(X0)),X1)
| member(sK14(sK18(power_set(X0)),X1),X0) ),
inference(resolution,[],[f170,f440]) ).
fof(f463,plain,
! [X0,X1] :
( member(sK14(sK12(power_set(X0)),X1),X1)
| sP2(sK12(power_set(X0)),X1)
| member(sK14(sK12(power_set(X0)),X1),X0) ),
inference(resolution,[],[f170,f312]) ).
fof(f462,plain,
! [X0,X1] :
( member(sK14(sK9(power_set(X0)),X1),X1)
| sP2(sK9(power_set(X0)),X1)
| member(sK14(sK9(power_set(X0)),X1),X0)
| sP0(power_set(X0)) ),
inference(resolution,[],[f170,f309]) ).
fof(f461,plain,
! [X2,X0,X1] :
( member(sK14(power_set(X0),X1),X1)
| sP2(power_set(X0),X1)
| ~ member(X2,sK14(power_set(X0),X1))
| member(X2,X0) ),
inference(resolution,[],[f170,f237]) ).
fof(f460,plain,
! [X0,X1] :
( member(sK14(power_set(X0),X1),X1)
| sP2(power_set(X0),X1)
| ilf_type(sK14(power_set(X0),X1),subset_type(X0)) ),
inference(resolution,[],[f170,f407]) ).
fof(f458,plain,
! [X0,X1] :
( member(sK14(X0,sK18(power_set(X1))),X0)
| sP2(X0,sK18(power_set(X1)))
| member(sK14(X0,sK18(power_set(X1))),X1) ),
inference(resolution,[],[f170,f440]) ).
fof(f457,plain,
! [X0,X1] :
( member(sK14(X0,sK12(power_set(X1))),X0)
| sP2(X0,sK12(power_set(X1)))
| member(sK14(X0,sK12(power_set(X1))),X1) ),
inference(resolution,[],[f170,f312]) ).
fof(f456,plain,
! [X0,X1] :
( member(sK14(X0,sK9(power_set(X1))),X0)
| sP2(X0,sK9(power_set(X1)))
| member(sK14(X0,sK9(power_set(X1))),X1)
| sP0(power_set(X1)) ),
inference(resolution,[],[f170,f309]) ).
fof(f455,plain,
! [X2,X0,X1] :
( member(sK14(X0,power_set(X1)),X0)
| sP2(X0,power_set(X1))
| ~ member(X2,sK14(X0,power_set(X1)))
| member(X2,X1) ),
inference(resolution,[],[f170,f237]) ).
fof(f454,plain,
! [X0,X1] :
( member(sK14(X0,power_set(X1)),X0)
| sP2(X0,power_set(X1))
| ilf_type(sK14(X0,power_set(X1)),subset_type(X1)) ),
inference(resolution,[],[f170,f407]) ).
fof(f452,plain,
! [X0] :
( member(sK18(sK18(power_set(X0))),X0)
| empty(sK18(power_set(X0))) ),
inference(resolution,[],[f440,f429]) ).
fof(f451,plain,
! [X0,X1] :
( member(sK15(sK18(power_set(X0)),X1),X0)
| member(sK18(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f440,f232]) ).
fof(f450,plain,
! [X0] :
( member(sK12(sK12(power_set(sK18(power_set(X0))))),X0)
| empty(sK12(power_set(sK18(power_set(X0))))) ),
inference(resolution,[],[f440,f314]) ).
fof(f449,plain,
! [X0] :
( member(sK12(sK18(power_set(X0))),X0)
| empty(sK18(power_set(X0))) ),
inference(resolution,[],[f440,f205]) ).
fof(f448,plain,
! [X0] :
( member(sK9(sK12(power_set(sK18(power_set(X0))))),X0)
| sP0(sK12(power_set(sK18(power_set(X0))))) ),
inference(resolution,[],[f440,f313]) ).
fof(f447,plain,
! [X0] :
( member(sK9(sK18(power_set(X0))),X0)
| sP0(sK18(power_set(X0))) ),
inference(resolution,[],[f440,f147]) ).
fof(f440,plain,
! [X0,X1] :
( ~ member(X1,sK18(power_set(X0)))
| member(X1,X0) ),
inference(subsumption_resolution,[],[f437,f203]) ).
fof(f437,plain,
! [X0,X1] :
( empty(power_set(X0))
| ~ member(X1,sK18(power_set(X0)))
| member(X1,X0) ),
inference(resolution,[],[f429,f237]) ).
fof(f446,plain,
! [X0,X1] :
( ~ ilf_type(sK15(X0,power_set(X1)),subset_type(X1))
| member(X0,power_set(power_set(X1))) ),
inference(resolution,[],[f430,f230]) ).
fof(f445,plain,
! [X2,X0,X1] :
( ~ ilf_type(ordered_pair(X0,X1),subset_type(X2))
| member(X1,range_of(power_set(X2)))
| ~ ilf_type(power_set(X2),binary_relation_type) ),
inference(resolution,[],[f430,f243]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ ilf_type(ordered_pair(X0,X1),subset_type(X2))
| member(X0,domain_of(power_set(X2)))
| ~ ilf_type(power_set(X2),binary_relation_type) ),
inference(resolution,[],[f430,f245]) ).
fof(f430,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(subsumption_resolution,[],[f424,f203]) ).
fof(f424,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| empty(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f416,f241]) ).
fof(f438,plain,
! [X0] :
( empty(sK9(power_set(X0)))
| member(sK18(sK9(power_set(X0))),X0)
| sP0(power_set(X0)) ),
inference(resolution,[],[f429,f309]) ).
fof(f429,plain,
! [X0] :
( member(sK18(X0),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f428]) ).
fof(f428,plain,
! [X0] :
( member(sK18(X0),X0)
| empty(X0)
| empty(X0) ),
inference(resolution,[],[f416,f275]) ).
fof(f431,plain,
member(sK7,sK4),
inference(subsumption_resolution,[],[f426,f126]) ).
fof(f426,plain,
( member(sK7,sK4)
| empty(sK4) ),
inference(resolution,[],[f416,f131]) ).
fof(f416,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f273,f135]) ).
fof(f418,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ empty(X0) ),
inference(resolution,[],[f409,f224]) ).
fof(f421,plain,
! [X0,X1] : domain_of(cross_product(X0,X1)) = domain(X0,X1,cross_product(X0,X1)),
inference(resolution,[],[f417,f263]) ).
fof(f420,plain,
! [X0,X1] : range_of(cross_product(X0,X1)) = range(X0,X1,cross_product(X0,X1)),
inference(resolution,[],[f417,f265]) ).
fof(f417,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),relation_type(X0,X1)),
inference(resolution,[],[f408,f224]) ).
fof(f415,plain,
! [X0] : ilf_type(sK12(power_set(X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f412,f203]) ).
fof(f412,plain,
! [X0] :
( ilf_type(sK12(power_set(X0)),subset_type(X0))
| empty(power_set(X0)) ),
inference(resolution,[],[f407,f205]) ).
fof(f409,plain,
! [X0,X1] :
( ilf_type(X0,subset_type(X1))
| ~ empty(X0) ),
inference(resolution,[],[f407,f299]) ).
fof(f408,plain,
! [X0] : ilf_type(X0,subset_type(X0)),
inference(resolution,[],[f407,f300]) ).
fof(f414,plain,
! [X0,X1] :
( ilf_type(sK15(power_set(X0),X1),subset_type(X0))
| member(power_set(X0),power_set(X1)) ),
inference(resolution,[],[f407,f232]) ).
fof(f413,plain,
! [X0] :
( ilf_type(sK12(sK12(power_set(power_set(X0)))),subset_type(X0))
| empty(sK12(power_set(power_set(X0)))) ),
inference(resolution,[],[f407,f314]) ).
fof(f411,plain,
! [X0] :
( ilf_type(sK9(sK12(power_set(power_set(X0)))),subset_type(X0))
| sP0(sK12(power_set(power_set(X0)))) ),
inference(resolution,[],[f407,f313]) ).
fof(f407,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f406,f239]) ).
fof(f404,plain,
! [X2,X0,X1] : domain_of(range_of(sK16(cross_product(X0,X1),X2))) = domain(X0,X1,range_of(sK16(cross_product(X0,X1),X2))),
inference(resolution,[],[f402,f263]) ).
fof(f403,plain,
! [X2,X0,X1] : range_of(range_of(sK16(cross_product(X0,X1),X2))) = range(X0,X1,range_of(sK16(cross_product(X0,X1),X2))),
inference(resolution,[],[f402,f265]) ).
fof(f402,plain,
! [X2,X0,X1] : ilf_type(range_of(sK16(cross_product(X0,X1),X2)),relation_type(X0,X1)),
inference(resolution,[],[f401,f224]) ).
fof(f401,plain,
! [X0,X1] : ilf_type(range_of(sK16(X1,X0)),subset_type(X1)),
inference(subsumption_resolution,[],[f399,f271]) ).
fof(f399,plain,
! [X0,X1] :
( ilf_type(range_of(sK16(X1,X0)),subset_type(X1))
| ~ ilf_type(sK16(X1,X0),relation_type(X0,X1)) ),
inference(superposition,[],[f269,f385]) ).
fof(f400,plain,
ilf_type(range_of(sK6),subset_type(sK4)),
inference(subsumption_resolution,[],[f398,f130]) ).
fof(f398,plain,
( ilf_type(range_of(sK6),subset_type(sK4))
| ~ ilf_type(sK6,relation_type(sK5,sK4)) ),
inference(superposition,[],[f269,f384]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,cross_product(X2,X3)))
| ilf_type(range(X1,cross_product(X2,X3),X0),relation_type(X2,X3)) ),
inference(resolution,[],[f269,f224]) ).
fof(f385,plain,
! [X0,X1] : range_of(sK16(X0,X1)) = range(X1,X0,sK16(X0,X1)),
inference(resolution,[],[f265,f271]) ).
fof(f396,plain,
! [X2,X0,X1] : domain_of(domain_of(sK16(X0,cross_product(X1,X2)))) = domain(X1,X2,domain_of(sK16(X0,cross_product(X1,X2)))),
inference(resolution,[],[f394,f263]) ).
fof(f395,plain,
! [X2,X0,X1] : range_of(domain_of(sK16(X0,cross_product(X1,X2)))) = range(X1,X2,domain_of(sK16(X0,cross_product(X1,X2)))),
inference(resolution,[],[f394,f265]) ).
fof(f394,plain,
! [X2,X0,X1] : ilf_type(domain_of(sK16(X0,cross_product(X1,X2))),relation_type(X1,X2)),
inference(resolution,[],[f393,f224]) ).
fof(f393,plain,
! [X0,X1] : ilf_type(domain_of(sK16(X1,X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f391,f271]) ).
fof(f391,plain,
! [X0,X1] :
( ilf_type(domain_of(sK16(X1,X0)),subset_type(X0))
| ~ ilf_type(sK16(X1,X0),relation_type(X0,X1)) ),
inference(superposition,[],[f267,f381]) ).
fof(f392,plain,
ilf_type(domain_of(sK6),subset_type(sK5)),
inference(subsumption_resolution,[],[f390,f130]) ).
fof(f390,plain,
( ilf_type(domain_of(sK6),subset_type(sK5))
| ~ ilf_type(sK6,relation_type(sK5,sK4)) ),
inference(superposition,[],[f267,f380]) ).
fof(f389,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,relation_type(cross_product(X1,X2),X3))
| ilf_type(domain(cross_product(X1,X2),X3,X0),relation_type(X1,X2)) ),
inference(resolution,[],[f267,f224]) ).
fof(f384,plain,
range(sK5,sK4,sK6) = range_of(sK6),
inference(resolution,[],[f265,f130]) ).
fof(f387,plain,
! [X0,X1] : range_of(sK18(power_set(cross_product(X0,X1)))) = range(X0,X1,sK18(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f265,f357]) ).
fof(f386,plain,
! [X0,X1] : range_of(sK17(cross_product(X0,X1))) = range(X0,X1,sK17(cross_product(X0,X1))),
inference(resolution,[],[f265,f356]) ).
fof(f381,plain,
! [X0,X1] : domain_of(sK16(X0,X1)) = domain(X1,X0,sK16(X0,X1)),
inference(resolution,[],[f263,f271]) ).
fof(f380,plain,
domain_of(sK6) = domain(sK5,sK4,sK6),
inference(resolution,[],[f263,f130]) ).
fof(f383,plain,
! [X0,X1] : domain_of(sK18(power_set(cross_product(X0,X1)))) = domain(X0,X1,sK18(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f263,f357]) ).
fof(f382,plain,
! [X0,X1] : domain_of(sK17(cross_product(X0,X1))) = domain(X0,X1,sK17(cross_product(X0,X1))),
inference(resolution,[],[f263,f356]) ).
fof(f379,plain,
! [X2,X0,X1] :
( member(X0,domain_of(power_set(X1)))
| ~ ilf_type(power_set(X1),binary_relation_type)
| ~ empty(ordered_pair(X0,X2)) ),
inference(resolution,[],[f245,f299]) ).
fof(f378,plain,
! [X0,X1] :
( member(X0,domain_of(power_set(ordered_pair(X0,X1))))
| ~ ilf_type(power_set(ordered_pair(X0,X1)),binary_relation_type) ),
inference(resolution,[],[f245,f300]) ).
fof(f365,plain,
! [X2,X0,X1] :
( member(X0,range_of(power_set(X1)))
| ~ ilf_type(power_set(X1),binary_relation_type)
| ~ empty(ordered_pair(X2,X0)) ),
inference(resolution,[],[f243,f299]) ).
fof(f364,plain,
! [X0,X1] :
( member(X0,range_of(power_set(ordered_pair(X1,X0))))
| ~ ilf_type(power_set(ordered_pair(X1,X0)),binary_relation_type) ),
inference(resolution,[],[f243,f300]) ).
fof(f362,plain,
! [X0,X1] :
( member(sK15(sK9(power_set(X0)),X1),X0)
| sP0(power_set(X0))
| member(sK9(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f309,f232]) ).
fof(f361,plain,
! [X0] :
( member(sK12(sK12(power_set(sK9(power_set(X0))))),X0)
| sP0(power_set(X0))
| empty(sK12(power_set(sK9(power_set(X0))))) ),
inference(resolution,[],[f309,f314]) ).
fof(f360,plain,
! [X0] :
( member(sK12(sK9(power_set(X0))),X0)
| sP0(power_set(X0))
| empty(sK9(power_set(X0))) ),
inference(resolution,[],[f309,f205]) ).
fof(f359,plain,
! [X0] :
( member(sK9(sK12(power_set(sK9(power_set(X0))))),X0)
| sP0(power_set(X0))
| sP0(sK12(power_set(sK9(power_set(X0))))) ),
inference(resolution,[],[f309,f313]) ).
fof(f358,plain,
! [X0] :
( member(sK9(sK9(power_set(X0))),X0)
| sP0(power_set(X0))
| sP0(sK9(power_set(X0))) ),
inference(resolution,[],[f309,f147]) ).
fof(f309,plain,
! [X0,X1] :
( ~ member(X0,sK9(power_set(X1)))
| member(X0,X1)
| sP0(power_set(X1)) ),
inference(resolution,[],[f237,f147]) ).
fof(f357,plain,
! [X0,X1] : ilf_type(sK18(power_set(cross_product(X0,X1))),relation_type(X0,X1)),
inference(resolution,[],[f224,f305]) ).
fof(f356,plain,
! [X0,X1] : ilf_type(sK17(cross_product(X0,X1)),relation_type(X0,X1)),
inference(resolution,[],[f224,f274]) ).
fof(f354,plain,
! [X0,X1] : unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f253,f327]) ).
fof(f353,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f316,f327]) ).
fof(f352,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f319,f327]) ).
fof(f351,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f327,f327]) ).
fof(f350,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),
inference(superposition,[],[f327,f319]) ).
fof(f349,plain,
! [X0,X1] : ordered_pair(singleton(X1),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X1)),ordered_pair(X1,X0)),
inference(superposition,[],[f327,f316]) ).
fof(f348,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f327,f253]) ).
fof(f327,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f316,f220]) ).
fof(f343,plain,
! [X0] :
( empty(sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f314,f291]) ).
fof(f345,plain,
! [X0] :
( empty(sK12(power_set(sK12(power_set(X0)))))
| member(sK12(sK12(power_set(sK12(power_set(X0))))),X0) ),
inference(resolution,[],[f314,f312]) ).
fof(f344,plain,
! [X0,X1] :
( empty(sK12(power_set(power_set(X0))))
| ~ member(X1,sK12(sK12(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f314,f237]) ).
fof(f314,plain,
! [X0] :
( member(sK12(sK12(power_set(X0))),X0)
| empty(sK12(power_set(X0))) ),
inference(resolution,[],[f312,f205]) ).
fof(f342,plain,
! [X0] :
( relation_like(sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f339,f280]) ).
fof(f339,plain,
! [X0] :
( sP0(sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f313,f291]) ).
fof(f341,plain,
! [X0] :
( sP0(sK12(power_set(sK12(power_set(X0)))))
| member(sK9(sK12(power_set(sK12(power_set(X0))))),X0) ),
inference(resolution,[],[f313,f312]) ).
fof(f340,plain,
! [X0,X1] :
( sP0(sK12(power_set(power_set(X0))))
| ~ member(X1,sK9(sK12(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f313,f237]) ).
fof(f313,plain,
! [X0] :
( member(sK9(sK12(power_set(X0))),X0)
| sP0(sK12(power_set(X0))) ),
inference(resolution,[],[f312,f147]) ).
fof(f303,plain,
! [X0,X1] :
( ~ empty(sK15(X0,power_set(X1)))
| member(X0,power_set(power_set(X1))) ),
inference(resolution,[],[f299,f230]) ).
fof(f338,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),
inference(superposition,[],[f253,f319]) ).
fof(f337,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f316,f319]) ).
fof(f336,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f319,f319]) ).
fof(f335,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X1)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X1,X0)),
inference(superposition,[],[f319,f316]) ).
fof(f334,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),
inference(superposition,[],[f319,f253]) ).
fof(f333,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f319,f220]) ).
fof(f332,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f319,f220]) ).
fof(f319,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f253,f220]) ).
fof(f331,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f220,f316]) ).
fof(f330,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f220,f316]) ).
fof(f329,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X1)) = unordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f253,f316]) ).
fof(f328,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f316,f220]) ).
fof(f326,plain,
! [X0,X1] : ordered_pair(singleton(X1),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X1,X0),singleton(singleton(X1))),
inference(superposition,[],[f316,f316]) ).
fof(f325,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),
inference(superposition,[],[f316,f253]) ).
fof(f316,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X1,X0),singleton(X0)),
inference(superposition,[],[f253,f220]) ).
fof(f322,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f220,f253]) ).
fof(f321,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f220,f253]) ).
fof(f320,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f253,f220]) ).
fof(f318,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f253,f253]) ).
fof(f317,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X1,X0),singleton(X0)),
inference(superposition,[],[f253,f220]) ).
fof(f315,plain,
! [X0,X1] :
( member(sK15(sK12(power_set(X0)),X1),X0)
| member(sK12(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f312,f232]) ).
fof(f312,plain,
! [X0,X1] :
( ~ member(X0,sK12(power_set(X1)))
| member(X0,X1) ),
inference(subsumption_resolution,[],[f310,f203]) ).
fof(f310,plain,
! [X0,X1] :
( ~ member(X0,sK12(power_set(X1)))
| member(X0,X1)
| empty(power_set(X1)) ),
inference(resolution,[],[f237,f205]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ member(X0,sK15(power_set(X1),X2))
| member(X0,X1)
| member(power_set(X1),power_set(X2)) ),
inference(resolution,[],[f237,f232]) ).
fof(f305,plain,
! [X0] : ilf_type(sK18(power_set(X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f304,f203]) ).
fof(f304,plain,
! [X0] :
( ilf_type(sK18(power_set(X0)),subset_type(X0))
| empty(power_set(X0)) ),
inference(resolution,[],[f239,f275]) ).
fof(f299,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f232,f291]) ).
fof(f300,plain,
! [X0] : member(X0,power_set(X0)),
inference(duplicate_literal_removal,[],[f298]) ).
fof(f298,plain,
! [X0] :
( member(X0,power_set(X0))
| member(X0,power_set(X0)) ),
inference(resolution,[],[f232,f230]) ).
fof(f297,plain,
! [X0,X1] :
( ~ sP2(X1,X0)
| X0 = X1 ),
inference(subsumption_resolution,[],[f166,f228]) ).
fof(f292,plain,
! [X0] :
( sP0(X0)
| ~ empty(X0) ),
inference(resolution,[],[f291,f147]) ).
fof(f275,plain,
! [X0] :
( ilf_type(sK18(X0),member_type(X0))
| empty(X0) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264,f265,f187,f266,f267,f188,f268,f269,f189,f190,f270,f271,f192,f272,f191,f273,f193,f274,f194]) ).
fof(f280,plain,
! [X0] :
( ~ sP0(X0)
| relation_like(X0) ),
inference(subsumption_resolution,[],[f142,f204]) ).
fof(f279,plain,
! [X0] :
( sP0(X0)
| ~ relation_like(X0) ),
inference(subsumption_resolution,[],[f141,f204]) ).
fof(f274,plain,
! [X0] : ilf_type(sK17(X0),subset_type(X0)),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264,f265,f187,f266,f267,f188,f268,f269,f189,f190,f270,f271,f192,f272,f191,f273,f193]) ).
fof(f277,plain,
relation_like(sK19),
inference(resolution,[],[f209,f196]) ).
fof(f276,plain,
! [X0] :
( relation_like(X0)
| ~ empty(X0) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264,f265,f187,f266,f267,f188,f268,f269,f189,f190,f270,f271,f192,f272,f191,f273,f193,f274,f194,f275,f195]) ).
fof(f196,plain,
ilf_type(sK19,binary_relation_type),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
ilf_type(sK19,binary_relation_type),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f18,f124]) ).
fof(f124,plain,
( ? [X0] : ilf_type(X0,binary_relation_type)
=> ilf_type(sK19,binary_relation_type) ),
introduced(choice_axiom,[]) ).
fof(f18,axiom,
? [X0] : ilf_type(X0,binary_relation_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18) ).
fof(f195,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ( ilf_type(X0,set_type)
& empty(X0) )
=> relation_like(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25) ).
fof(f194,plain,
! [X0] :
( ilf_type(sK18(X0),member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ilf_type(sK18(X0),member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f70,f122]) ).
fof(f122,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
=> ilf_type(sK18(X0),member_type(X0)) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ? [X1] : ilf_type(X1,member_type(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9) ).
fof(f193,plain,
! [X0] :
( ilf_type(sK17(X0),subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ilf_type(sK17(X0),subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f68,f120]) ).
fof(f120,plain,
! [X0] :
( ? [X1] : ilf_type(X1,subset_type(X0))
=> ilf_type(sK17(X0),subset_type(X0)) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ? [X1] : ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ? [X1] : ilf_type(X1,subset_type(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).
fof(f273,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(global_subsumption,[],[f134,f133,f132,f131,f130,f129,f128,f127,f126,f135,f136,f137,f138,f201,f140,f202,f139,f203,f142,f141,f148,f147,f146,f145,f144,f143,f149,f204,f152,f205,f151,f206,f150,f207,f200,f208,f153,f209,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f220,f164,f221,f222,f163,f223,f224,f166,f171,f170,f169,f168,f225,f167,f226,f172,f227,f228,f176,f229,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f237,f178,f238,f239,f177,f240,f241,f180,f242,f243,f179,f244,f245,f198,f246,f247,f248,f249,f199,f250,f251,f252,f253,f184,f254,f255,f256,f257,f183,f258,f259,f260,f261,f185,f262,f263,f186,f264,f265,f187,f266,f267,f188,f268,f269,f189,f190,f270,f271,f192,f272,f191]) ).
fof(f191,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f119]) ).
fof(f970,plain,
( ! [X0] :
( member(sK13(X0,sK6),sK5)
| ~ member(X0,range_of(sK6)) )
| ~ spl20_3 ),
inference(subsumption_resolution,[],[f967,f368]) ).
fof(f967,plain,
! [X0] :
( ~ ilf_type(sK6,binary_relation_type)
| ~ member(X0,range_of(sK6))
| member(sK13(X0,sK6),sK5) ),
inference(resolution,[],[f764,f531]) ).
fof(f764,plain,
! [X0,X1] :
( member(sK13(X0,X1),domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1)) ),
inference(duplicate_literal_removal,[],[f751]) ).
fof(f751,plain,
! [X0,X1] :
( ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| member(sK13(X0,X1),domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(resolution,[],[f211,f245]) ).
fof(f992,plain,
( ~ spl20_17
| spl20_18 ),
inference(avatar_split_clause,[],[f860,f989,f985]) ).
fof(f985,plain,
( spl20_17
<=> sP0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f989,plain,
( spl20_18
<=> sK7 = ordered_pair(sK10(sK7),sK11(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f860,plain,
( sK7 = ordered_pair(sK10(sK7),sK11(sK7))
| ~ sP0(sK4) ),
inference(resolution,[],[f800,f431]) ).
fof(f800,plain,
! [X0,X4] :
( ~ member(X4,X0)
| ordered_pair(sK10(X4),sK11(X4)) = X4
| ~ sP0(X0) ),
inference(subsumption_resolution,[],[f145,f135]) ).
fof(f966,plain,
( ~ spl20_5
| ~ spl20_4
| spl20_16 ),
inference(avatar_split_clause,[],[f965,f954,f371,f557]) ).
fof(f557,plain,
( spl20_5
<=> sP0(range_of(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f954,plain,
( spl20_16
<=> sP0(sK17(range_of(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f965,plain,
( ~ sP0(range_of(sK6))
| ~ spl20_4
| spl20_16 ),
inference(global_subsumption,[],[f855,f134,f133,f136,f137,f138,f201,f140,f202,f139,f142,f141,f148,f146,f145,f144,f143,f149,f152,f151,f206,f150,f207,f200,f153,f158,f210,f157,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f164,f221,f163,f223,f166,f169,f168,f167,f172,f227,f176,f229,f175,f231,f174,f233,f234,f173,f235,f236,f178,f238,f177,f240,f180,f242,f179,f244,f198,f246,f247,f248,f249,f199,f250,f251,f252,f184,f254,f255,f256,f183,f258,f259,f260,f185,f262,f186,f264,f187,f266,f188,f268,f189,f190,f270,f192,f272,f191,f273,f193,f194,f195,f126,f128,f204,f127,f129,f135,f196,f203,f228,f131,f130,f276,f208,f209,f277,f274,f279,f280,f147,f205,f220,f271,f275,f132,f291,f292,f297,f225,f226,f230,f232,f300,f299,f239,f305,f241,f237,f311,f312,f315,f253,f317,f318,f320,f321,f322,f316,f325,f326,f328,f329,f330,f331,f222,f319,f332,f333,f334,f335,f336,f337,f338,f303,f313,f340,f341,f339,f342,f314,f344,f345,f343,f327,f348,f349,f350,f351,f352,f353,f354,f224,f356,f357,f309,f358,f359,f360,f361,f362,f243,f364,f365,f245,f378,f379,f263,f382,f383,f380,f381,f265,f386,f387,f384,f267,f389,f392,f393,f394,f395,f396,f385,f269,f397,f400,f401,f402,f403,f404,f406,f407,f411,f413,f414,f408,f409,f415,f417,f420,f421,f418,f416,f431,f429,f438,f430,f444,f445,f446,f440,f447,f448,f449,f450,f451,f452,f170,f454,f455,f456,f457,f458,f460,f461,f462,f463,f464,f465,f467,f468,f469,f470,f471,f466,f410,f475,f419,f476,f477,f422,f478,f423,f479,f453,f481,f482,f483,f484,f485,f480,f488,f489,f490,f459,f492,f493,f494,f495,f496,f171,f502,f503,f509,f439,f514,f515,f516,f517,f518,f442,f520,f521,f526,f527,f529,f530,f533,f535,f536,f537,f539,f541,f542,f543,f531,f545,f547,f548,f549,f551,f552,f553,f554,f555,f532,f534,f257,f579,f580,f581,f544,f546,f261,f611,f612,f613,f524,f666,f667,f668,f669,f670,f672,f673,f674,f675,f676,f655,f685,f689,f690,f695,f687,f692,f693,f691,f686,f698,f699,f713,f715,f701,f540,f703,f211,f749,f750,f764,f754,f755,f756,f757,f758,f759,f760,f761,f762,f767,f775,f778,f779,f781,f782,f770,f772,f785,f786,f787,f788,f783,f777,f688,f694,f771,f773,f824,f825,f826,f827,f818,f839,f800,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f865,f856,f857,f858,f859,f864,f873,f822,f774,f780,f926,f922,f928,f929,f931,f665,f936,f937,f938,f939,f940,f941,f942,f933,f943,f944,f945,f935,f946,f934,f955,f961,f962,f959,f860]) ).
fof(f959,plain,
( ~ sP0(range_of(sK6))
| spl20_16 ),
inference(resolution,[],[f955,f943]) ).
fof(f962,plain,
( ~ relation_like(sK17(range_of(sK6)))
| spl20_16 ),
inference(resolution,[],[f955,f279]) ).
fof(f961,plain,
( ~ empty(sK17(range_of(sK6)))
| spl20_16 ),
inference(resolution,[],[f955,f292]) ).
fof(f955,plain,
( ~ sP0(sK17(range_of(sK6)))
| spl20_16 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f934,plain,
( sP0(sK17(range_of(sK6)))
| member(sK9(sK17(range_of(sK6))),sK4) ),
inference(resolution,[],[f665,f530]) ).
fof(f946,plain,
! [X0] :
( relation_like(sK17(range_of(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f935,f280]) ).
fof(f935,plain,
! [X0] :
( sP0(sK17(range_of(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f665,f767]) ).
fof(f945,plain,
! [X0] :
( relation_like(sK17(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f943,f280]) ).
fof(f944,plain,
! [X0] :
( relation_like(sK17(X0))
| ~ empty(X0) ),
inference(resolution,[],[f933,f280]) ).
fof(f943,plain,
! [X0] :
( sP0(sK17(X0))
| ~ sP0(X0) ),
inference(subsumption_resolution,[],[f932,f655]) ).
fof(f932,plain,
! [X0] :
( sP0(sK17(X0))
| sK9(sK17(X0)) = ordered_pair(sK10(sK9(sK17(X0))),sK11(sK9(sK17(X0))))
| ~ sP0(X0) ),
inference(resolution,[],[f665,f800]) ).
fof(f933,plain,
! [X0] :
( sP0(sK17(X0))
| ~ empty(X0) ),
inference(resolution,[],[f665,f291]) ).
fof(f942,plain,
! [X0] :
( sP0(sK17(sK18(power_set(X0))))
| member(sK9(sK17(sK18(power_set(X0)))),X0) ),
inference(resolution,[],[f665,f440]) ).
fof(f941,plain,
! [X0] :
( sP0(sK17(sK17(X0)))
| member(sK9(sK17(sK17(X0))),X0) ),
inference(resolution,[],[f665,f524]) ).
fof(f940,plain,
! [X0] :
( sP0(sK17(sK12(power_set(X0))))
| member(sK9(sK17(sK12(power_set(X0)))),X0) ),
inference(resolution,[],[f665,f312]) ).
fof(f939,plain,
! [X0] :
( sP0(sK17(sK9(power_set(X0))))
| member(sK9(sK17(sK9(power_set(X0)))),X0)
| sP0(power_set(X0)) ),
inference(resolution,[],[f665,f309]) ).
fof(f938,plain,
! [X0,X1] :
( sP0(sK17(power_set(X0)))
| ~ member(X1,sK9(sK17(power_set(X0))))
| member(X1,X0) ),
inference(resolution,[],[f665,f237]) ).
fof(f937,plain,
! [X0] :
( sP0(sK17(power_set(X0)))
| ilf_type(sK9(sK17(power_set(X0))),subset_type(X0)) ),
inference(resolution,[],[f665,f407]) ).
fof(f936,plain,
( sP0(sK17(domain_of(sK6)))
| member(sK9(sK17(domain_of(sK6))),sK5) ),
inference(resolution,[],[f665,f531]) ).
fof(f931,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X1) = range_of(X0)
| ~ empty(X1) ),
inference(resolution,[],[f922,f772]) ).
fof(f929,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X0) = sK12(power_set(range_of(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f922,f773]) ).
fof(f928,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X0) = sK12(power_set(X1))
| ~ empty(X1) ),
inference(resolution,[],[f922,f343]) ).
fof(f922,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| range_of(X0) = X1 ),
inference(resolution,[],[f774,f297]) ).
fof(f926,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| range_of(X0) = X1 ),
inference(resolution,[],[f780,f297]) ).
fof(f780,plain,
! [X0,X1] :
( sP2(X1,range_of(X0))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f767,f459]) ).
fof(f774,plain,
! [X0,X1] :
( sP2(range_of(X0),X1)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f767,f453]) ).
fof(f822,plain,
! [X0] :
( relation_like(sK12(power_set(range_of(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f771,f280]) ).
fof(f873,plain,
! [X0] :
( relation_like(sK12(power_set(X0)))
| ~ sP0(X0) ),
inference(resolution,[],[f864,f280]) ).
fof(f864,plain,
! [X0] :
( sP0(sK12(power_set(X0)))
| ~ sP0(X0) ),
inference(subsumption_resolution,[],[f843,f655]) ).
fof(f843,plain,
! [X0] :
( sK9(sK12(power_set(X0))) = ordered_pair(sK10(sK9(sK12(power_set(X0)))),sK11(sK9(sK12(power_set(X0)))))
| ~ sP0(X0)
| sP0(sK12(power_set(X0))) ),
inference(resolution,[],[f800,f313]) ).
fof(f859,plain,
! [X0,X1] :
( range_of(X0) = ordered_pair(sK10(range_of(X0)),sK11(range_of(X0)))
| ~ sP0(power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f800,f777]) ).
fof(f858,plain,
! [X0,X1] :
( ordered_pair(sK10(X0),sK11(X0)) = X0
| ~ sP0(power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f800,f299]) ).
fof(f857,plain,
! [X0,X1] :
( ordered_pair(sK10(X0),sK11(X0)) = X0
| ~ sP0(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f800,f430]) ).
fof(f856,plain,
! [X0] :
( ordered_pair(sK10(X0),sK11(X0)) = X0
| ~ sP0(power_set(X0)) ),
inference(resolution,[],[f800,f300]) ).
fof(f865,plain,
! [X0,X1] :
( ordered_pair(sK13(X0,X1),X0) = ordered_pair(sK10(ordered_pair(sK13(X0,X1),X0)),sK11(ordered_pair(sK13(X0,X1),X0)))
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f134,f133,f136,f137,f138,f201,f140,f202,f139,f142,f141,f148,f146,f145,f144,f143,f149,f152,f151,f206,f150,f207,f200,f153,f158,f210,f157,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f164,f221,f163,f223,f166,f169,f168,f167,f172,f227,f176,f229,f175,f231,f174,f233,f234,f173,f235,f236,f178,f238,f177,f240,f180,f242,f179,f244,f198,f246,f247,f248,f249,f199,f250,f251,f252,f184,f254,f255,f256,f183,f258,f259,f260,f185,f262,f186,f264,f187,f266,f188,f268,f189,f190,f270,f192,f272,f191,f273,f193,f194,f195,f126,f128,f204,f127,f129,f135,f196,f203,f228,f131,f130,f276,f208,f209,f277,f274,f279,f280,f147,f205,f220,f271,f275,f132,f291,f292,f297,f225,f226,f230,f232,f300,f299,f239,f305,f241,f237,f311,f312,f315,f253,f317,f318,f320,f321,f322,f316,f325,f326,f328,f329,f330,f331,f222,f319,f332,f333,f334,f335,f336,f337,f338,f303,f313,f340,f341,f339,f342,f314,f344,f345,f343,f327,f348,f349,f350,f351,f352,f353,f354,f224,f356,f357,f309,f358,f359,f360,f361,f362,f243,f364,f365,f245,f378,f379,f263,f382,f383,f380,f381,f265,f386,f387,f384,f267,f389,f392,f393,f394,f395,f396,f385,f269,f397,f400,f401,f402,f403,f404,f406,f407,f411,f413,f414,f408,f409,f415,f417,f420,f421,f418,f416,f431,f429,f438,f430,f444,f445,f446,f440,f447,f448,f449,f450,f451,f452,f170,f454,f455,f456,f457,f458,f460,f461,f462,f463,f464,f465,f467,f468,f469,f470,f471,f466,f410,f475,f419,f476,f477,f422,f478,f423,f479,f453,f481,f482,f483,f484,f485,f480,f488,f489,f490,f459,f492,f493,f494,f495,f496,f171,f502,f503,f509,f439,f514,f515,f516,f517,f518,f442,f520,f521,f526,f527,f529,f530,f533,f535,f536,f537,f539,f541,f542,f543,f531,f545,f547,f548,f549,f551,f552,f553,f554,f555,f532,f534,f257,f579,f580,f581,f544,f546,f261,f611,f612,f613,f524,f665,f666,f667,f668,f669,f670,f672,f673,f674,f675,f676,f655,f685,f689,f690,f695,f687,f692,f693,f691,f686,f698,f699,f713,f715,f701,f540,f703,f211,f749,f750,f764,f754,f755,f756,f757,f758,f759,f760,f761,f762,f767,f774,f775,f778,f779,f780,f781,f782,f770,f772,f785,f786,f787,f788,f783,f777,f688,f694,f771,f822,f773,f824,f825,f826,f827,f818,f839,f800,f864,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854]) ).
fof(f854,plain,
! [X0,X1] :
( ordered_pair(sK13(X0,X1),X0) = ordered_pair(sK10(ordered_pair(sK13(X0,X1),X0)),sK11(ordered_pair(sK13(X0,X1),X0)))
| ~ sP0(X1)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(resolution,[],[f800,f211]) ).
fof(f853,plain,
! [X0,X1] :
( sK14(X0,X1) = ordered_pair(sK10(sK14(X0,X1)),sK11(sK14(X0,X1)))
| ~ sP0(X1)
| member(sK14(X0,X1),X0)
| sP2(X0,X1) ),
inference(resolution,[],[f800,f170]) ).
fof(f852,plain,
! [X0,X1] :
( sK14(X0,X1) = ordered_pair(sK10(sK14(X0,X1)),sK11(sK14(X0,X1)))
| ~ sP0(X1)
| sP2(X0,X1)
| ~ empty(X0) ),
inference(resolution,[],[f800,f459]) ).
fof(f851,plain,
! [X0] :
( sK18(sK12(power_set(X0))) = ordered_pair(sK10(sK18(sK12(power_set(X0)))),sK11(sK18(sK12(power_set(X0)))))
| ~ sP0(X0)
| empty(sK12(power_set(X0))) ),
inference(resolution,[],[f800,f439]) ).
fof(f850,plain,
! [X0] :
( sK18(X0) = ordered_pair(sK10(sK18(X0)),sK11(sK18(X0)))
| ~ sP0(X0)
| empty(X0) ),
inference(resolution,[],[f800,f429]) ).
fof(f849,plain,
! [X0,X1] :
( sK15(X0,X1) = ordered_pair(sK10(sK15(X0,X1)),sK11(sK15(X0,X1)))
| ~ sP0(X0)
| member(X0,power_set(X1)) ),
inference(resolution,[],[f800,f232]) ).
fof(f847,plain,
! [X0,X1] :
( sK14(X0,X1) = ordered_pair(sK10(sK14(X0,X1)),sK11(sK14(X0,X1)))
| ~ sP0(X0)
| member(sK14(X0,X1),X1)
| sP2(X0,X1) ),
inference(resolution,[],[f800,f170]) ).
fof(f846,plain,
! [X0,X1] :
( sK14(X0,X1) = ordered_pair(sK10(sK14(X0,X1)),sK11(sK14(X0,X1)))
| ~ sP0(X0)
| sP2(X0,X1)
| ~ empty(X1) ),
inference(resolution,[],[f800,f453]) ).
fof(f845,plain,
! [X0] :
( sK12(sK12(power_set(X0))) = ordered_pair(sK10(sK12(sK12(power_set(X0)))),sK11(sK12(sK12(power_set(X0)))))
| ~ sP0(X0)
| empty(sK12(power_set(X0))) ),
inference(resolution,[],[f800,f314]) ).
fof(f844,plain,
! [X0] :
( sK12(X0) = ordered_pair(sK10(sK12(X0)),sK11(sK12(X0)))
| ~ sP0(X0)
| empty(X0) ),
inference(resolution,[],[f800,f205]) ).
fof(f839,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ilf_type(range_of(X0),relation_type(X1,X2)) ),
inference(resolution,[],[f818,f224]) ).
fof(f818,plain,
! [X0,X1] :
( ilf_type(range_of(X0),subset_type(X1))
| ~ empty(X0) ),
inference(resolution,[],[f777,f407]) ).
fof(f827,plain,
! [X0,X1] :
( ~ empty(X0)
| sK12(power_set(sK12(power_set(range_of(X0))))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f773,f489]) ).
fof(f826,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK12(power_set(range_of(X0))) = X1 ),
inference(resolution,[],[f773,f488]) ).
fof(f825,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(sK12(power_set(range_of(X0)))) = domain(X1,X2,sK12(power_set(range_of(X0)))) ),
inference(resolution,[],[f773,f423]) ).
fof(f824,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(sK12(power_set(range_of(X0)))) = range(X1,X2,sK12(power_set(range_of(X0)))) ),
inference(resolution,[],[f773,f422]) ).
fof(f773,plain,
! [X0] :
( empty(sK12(power_set(range_of(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f767,f314]) ).
fof(f771,plain,
! [X0] :
( sP0(sK12(power_set(range_of(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f767,f313]) ).
fof(f777,plain,
! [X0,X1] :
( member(range_of(X0),power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f767,f232]) ).
fof(f783,plain,
! [X0] :
( relation_like(range_of(X0))
| ~ empty(X0) ),
inference(resolution,[],[f770,f280]) ).
fof(f788,plain,
! [X0,X1] :
( ~ empty(X0)
| sK12(power_set(range_of(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f772,f489]) ).
fof(f787,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| range_of(X0) = X1 ),
inference(resolution,[],[f772,f488]) ).
fof(f786,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(range_of(X0)) = domain(X1,X2,range_of(X0)) ),
inference(resolution,[],[f772,f423]) ).
fof(f785,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(range_of(X0)) = range(X1,X2,range_of(X0)) ),
inference(resolution,[],[f772,f422]) ).
fof(f772,plain,
! [X0] :
( empty(range_of(X0))
| ~ empty(X0) ),
inference(resolution,[],[f767,f205]) ).
fof(f770,plain,
! [X0] :
( sP0(range_of(X0))
| ~ empty(X0) ),
inference(resolution,[],[f767,f147]) ).
fof(f782,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ member(X1,range_of(range_of(X0)))
| ~ ilf_type(range_of(X0),binary_relation_type) ),
inference(resolution,[],[f767,f211]) ).
fof(f781,plain,
! [X0,X1] :
( ~ empty(X0)
| member(sK14(X1,range_of(X0)),X1)
| sP2(X1,range_of(X0)) ),
inference(resolution,[],[f767,f170]) ).
fof(f779,plain,
! [X0] :
( ~ empty(X0)
| empty(sK12(power_set(range_of(X0)))) ),
inference(resolution,[],[f767,f439]) ).
fof(f778,plain,
! [X0] :
( ~ empty(X0)
| empty(range_of(X0)) ),
inference(resolution,[],[f767,f429]) ).
fof(f775,plain,
! [X0,X1] :
( ~ empty(X0)
| member(sK14(range_of(X0),X1),X1)
| sP2(range_of(X0),X1) ),
inference(resolution,[],[f767,f170]) ).
fof(f767,plain,
! [X0,X1] :
( ~ member(X0,range_of(X1))
| ~ empty(X1) ),
inference(global_subsumption,[],[f134,f133,f136,f137,f138,f201,f140,f202,f139,f142,f141,f148,f146,f145,f144,f143,f149,f152,f151,f206,f150,f207,f200,f153,f158,f210,f157,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f164,f221,f163,f223,f166,f169,f168,f167,f172,f227,f176,f229,f175,f231,f174,f233,f234,f173,f235,f236,f178,f238,f177,f240,f180,f242,f179,f244,f198,f246,f247,f248,f249,f199,f250,f251,f252,f184,f254,f255,f256,f183,f258,f259,f260,f185,f262,f186,f264,f187,f266,f188,f268,f189,f190,f270,f192,f272,f191,f273,f193,f194,f195,f126,f128,f204,f127,f129,f135,f196,f203,f228,f131,f130,f276,f208,f209,f277,f274,f279,f280,f147,f205,f220,f271,f275,f132,f291,f292,f297,f225,f226,f230,f232,f300,f299,f239,f305,f241,f237,f311,f312,f315,f253,f317,f318,f320,f321,f322,f316,f325,f326,f328,f329,f330,f331,f222,f319,f332,f333,f334,f335,f336,f337,f338,f303,f313,f340,f341,f339,f342,f314,f344,f345,f343,f327,f348,f349,f350,f351,f352,f353,f354,f224,f356,f357,f309,f358,f359,f360,f361,f362,f243,f364,f365,f245,f378,f379,f263,f382,f383,f380,f381,f265,f386,f387,f384,f267,f389,f392,f393,f394,f395,f396,f385,f269,f397,f400,f401,f402,f403,f404,f406,f407,f411,f413,f414,f408,f409,f415,f417,f420,f421,f418,f416,f431,f429,f438,f430,f444,f445,f446,f440,f447,f448,f449,f450,f451,f452,f170,f454,f455,f456,f457,f458,f460,f461,f462,f463,f464,f465,f467,f468,f469,f470,f471,f466,f410,f475,f419,f476,f477,f422,f478,f423,f479,f453,f481,f482,f483,f484,f485,f480,f488,f489,f490,f459,f492,f493,f494,f495,f496,f171,f502,f503,f509,f439,f514,f515,f516,f517,f518,f442,f520,f521,f526,f527,f529,f530,f533,f535,f536,f537,f539,f541,f542,f543,f531,f545,f547,f548,f549,f551,f552,f553,f554,f555,f532,f534,f257,f579,f580,f581,f544,f546,f261,f611,f612,f613,f524,f665,f666,f667,f668,f669,f670,f672,f673,f674,f675,f676,f655,f685,f688,f689,f690,f694,f695,f687,f692,f693,f691,f686,f698,f699,f713,f715,f701,f540,f703,f211,f749,f750,f764,f754]) ).
fof(f762,plain,
! [X0,X1] :
( ~ member(X0,range_of(sK18(power_set(X1))))
| ~ ilf_type(sK18(power_set(X1)),binary_relation_type)
| member(ordered_pair(sK13(X0,sK18(power_set(X1))),X0),X1) ),
inference(resolution,[],[f211,f440]) ).
fof(f761,plain,
! [X0,X1] :
( ~ member(X0,range_of(sK17(X1)))
| ~ ilf_type(sK17(X1),binary_relation_type)
| member(ordered_pair(sK13(X0,sK17(X1)),X0),X1) ),
inference(resolution,[],[f211,f524]) ).
fof(f760,plain,
! [X0,X1] :
( ~ member(X0,range_of(sK12(power_set(X1))))
| ~ ilf_type(sK12(power_set(X1)),binary_relation_type)
| member(ordered_pair(sK13(X0,sK12(power_set(X1))),X0),X1) ),
inference(resolution,[],[f211,f312]) ).
fof(f759,plain,
! [X0,X1] :
( ~ member(X0,range_of(sK9(power_set(X1))))
| ~ ilf_type(sK9(power_set(X1)),binary_relation_type)
| member(ordered_pair(sK13(X0,sK9(power_set(X1))),X0),X1)
| sP0(power_set(X1)) ),
inference(resolution,[],[f211,f309]) ).
fof(f758,plain,
! [X2,X0,X1] :
( ~ member(X0,range_of(power_set(X1)))
| ~ ilf_type(power_set(X1),binary_relation_type)
| ~ member(X2,ordered_pair(sK13(X0,power_set(X1)),X0))
| member(X2,X1) ),
inference(resolution,[],[f211,f237]) ).
fof(f757,plain,
! [X0,X1] :
( ~ member(X0,range_of(power_set(X1)))
| ~ ilf_type(power_set(X1),binary_relation_type)
| ilf_type(ordered_pair(sK13(X0,power_set(X1)),X0),subset_type(X1)) ),
inference(resolution,[],[f211,f407]) ).
fof(f756,plain,
! [X0] :
( ~ member(X0,range_of(domain_of(sK6)))
| ~ ilf_type(domain_of(sK6),binary_relation_type)
| member(ordered_pair(sK13(X0,domain_of(sK6)),X0),sK5) ),
inference(resolution,[],[f211,f531]) ).
fof(f755,plain,
! [X0] :
( ~ member(X0,range_of(range_of(sK6)))
| ~ ilf_type(range_of(sK6),binary_relation_type)
| member(ordered_pair(sK13(X0,range_of(sK6)),X0),sK4) ),
inference(resolution,[],[f211,f530]) ).
fof(f754,plain,
! [X0,X1] :
( ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ empty(X1) ),
inference(resolution,[],[f211,f291]) ).
fof(f750,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| member(X0,X2)
| ~ ilf_type(X1,relation_type(X3,X2)) ),
inference(resolution,[],[f211,f257]) ).
fof(f749,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| member(sK13(X0,X1),X2)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(resolution,[],[f211,f261]) ).
fof(f715,plain,
( member(sK7,range_of(sK6))
| member(ordered_pair(sK8,sK7),sK6) ),
inference(forward_demodulation,[],[f133,f384]) ).
fof(f855,plain,
( sK7 = ordered_pair(sK10(sK7),sK11(sK7))
| ~ sP0(range_of(sK6))
| ~ spl20_4 ),
inference(resolution,[],[f800,f373]) ).
fof(f964,plain,
( ~ spl20_5
| spl20_16 ),
inference(avatar_contradiction_clause,[],[f963]) ).
fof(f963,plain,
( $false
| ~ spl20_5
| spl20_16 ),
inference(subsumption_resolution,[],[f959,f559]) ).
fof(f559,plain,
( sP0(range_of(sK6))
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f957,plain,
( spl20_15
| spl20_16 ),
inference(avatar_split_clause,[],[f934,f954,f950]) ).
fof(f950,plain,
( spl20_15
<=> member(sK9(sK17(range_of(sK6))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f884,plain,
( ~ spl20_13
| spl20_14
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f863,f287,f881,f877]) ).
fof(f877,plain,
( spl20_13
<=> sP0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f881,plain,
( spl20_14
<=> sK8 = ordered_pair(sK10(sK8),sK11(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
fof(f287,plain,
( spl20_2
<=> ilf_type(sK8,member_type(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f863,plain,
( sK8 = ordered_pair(sK10(sK8),sK11(sK8))
| ~ sP0(sK5)
| ~ spl20_2 ),
inference(resolution,[],[f800,f432]) ).
fof(f432,plain,
( member(sK8,sK5)
| ~ spl20_2 ),
inference(subsumption_resolution,[],[f427,f128]) ).
fof(f427,plain,
( member(sK8,sK5)
| empty(sK5)
| ~ spl20_2 ),
inference(resolution,[],[f416,f289]) ).
fof(f289,plain,
( ilf_type(sK8,member_type(sK5))
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f726,plain,
( ~ spl20_7
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f722,f371,f567]) ).
fof(f567,plain,
( spl20_7
<=> empty(range_of(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f722,plain,
( ~ empty(range_of(sK6))
| ~ spl20_4 ),
inference(resolution,[],[f373,f291]) ).
fof(f724,plain,
( ~ spl20_4
| ~ spl20_7 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f723,plain,
( $false
| ~ spl20_4
| ~ spl20_7 ),
inference(subsumption_resolution,[],[f722,f569]) ).
fof(f569,plain,
( empty(range_of(sK6))
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f719,plain,
( spl20_4
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f717,f283,f371]) ).
fof(f283,plain,
( spl20_1
<=> member(sK7,range(sK5,sK4,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f717,plain,
( member(sK7,range_of(sK6))
| ~ spl20_1 ),
inference(forward_demodulation,[],[f285,f384]) ).
fof(f285,plain,
( member(sK7,range(sK5,sK4,sK6))
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f712,plain,
( spl20_1
| ~ spl20_3
| ~ spl20_4 ),
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f711,plain,
( $false
| spl20_1
| ~ spl20_3
| ~ spl20_4 ),
inference(global_subsumption,[],[f368,f134,f133,f136,f137,f138,f201,f140,f202,f139,f142,f141,f148,f146,f145,f144,f143,f149,f152,f151,f206,f150,f207,f200,f153,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f164,f221,f163,f223,f166,f169,f168,f167,f172,f227,f176,f229,f175,f231,f174,f233,f234,f173,f235,f236,f178,f238,f177,f240,f180,f242,f179,f244,f198,f246,f247,f248,f249,f199,f250,f251,f252,f184,f254,f255,f256,f183,f258,f259,f260,f185,f262,f186,f264,f187,f266,f188,f268,f189,f190,f270,f192,f272,f191,f273,f193,f194,f195,f126,f128,f204,f127,f129,f135,f196,f203,f228,f131,f130,f276,f208,f209,f277,f274,f279,f280,f147,f205,f220,f271,f275,f132,f284,f291,f292,f295,f296,f297,f225,f226,f230,f232,f300,f299,f239,f305,f241,f237,f311,f312,f315,f253,f317,f318,f320,f321,f322,f316,f325,f326,f328,f329,f330,f331,f222,f319,f332,f333,f334,f335,f336,f337,f338,f303,f313,f340,f341,f339,f342,f314,f344,f345,f343,f327,f348,f349,f350,f351,f352,f353,f354,f224,f356,f357,f309,f358,f359,f360,f361,f362,f243,f364,f365,f363,f245,f378,f379,f263,f382,f383,f380,f381,f265,f386,f387,f384,f267,f389,f392,f393,f394,f395,f396,f385,f269,f397,f400,f401,f402,f403,f404,f406,f407,f411,f413,f414,f408,f409,f415,f417,f420,f421,f418,f416,f431,f429,f438,f430,f444,f445,f446,f440,f447,f448,f449,f450,f451,f452,f170,f454,f455,f456,f457,f458,f460,f461,f462,f463,f464,f465,f467,f468,f469,f470,f471,f466,f410,f475,f419,f476,f477,f422,f478,f423,f479,f453,f481,f482,f483,f484,f485,f480,f488,f489,f490,f459,f492,f493,f494,f495,f496,f171,f502,f503,f509,f439,f514,f515,f516,f517,f518,f442,f520,f521,f526,f527,f529,f530,f533,f535,f536,f537,f539,f540,f541,f542,f543,f531,f545,f547,f548,f549,f551,f552,f553,f554,f555,f532,f534,f257,f579,f580,f581,f582,f544,f546,f261,f611,f612,f613,f614,f524,f665,f666,f667,f668,f669,f670,f672,f673,f674,f675,f676,f655,f685,f688,f689,f690,f694,f695,f687,f692,f693,f691,f686,f698,f699,f703,f701,f388,f373]) ).
fof(f388,plain,
( ~ member(sK7,range_of(sK6))
| spl20_1 ),
inference(superposition,[],[f284,f384]) ).
fof(f614,plain,
( ! [X0,X1] :
( ~ ilf_type(sK6,relation_type(X0,X1))
| member(sK8,X0) )
| spl20_1 ),
inference(resolution,[],[f261,f295]) ).
fof(f582,plain,
( ! [X0,X1] :
( ~ ilf_type(sK6,relation_type(X1,X0))
| member(sK7,X0) )
| spl20_1 ),
inference(resolution,[],[f257,f295]) ).
fof(f363,plain,
( member(sK7,range_of(sK6))
| ~ ilf_type(sK6,binary_relation_type)
| spl20_1 ),
inference(resolution,[],[f243,f295]) ).
fof(f296,plain,
( ~ empty(sK6)
| spl20_1 ),
inference(resolution,[],[f295,f291]) ).
fof(f295,plain,
( member(ordered_pair(sK8,sK7),sK6)
| spl20_1 ),
inference(subsumption_resolution,[],[f133,f284]) ).
fof(f284,plain,
( ~ member(sK7,range(sK5,sK4,sK6))
| spl20_1 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f710,plain,
( spl20_1
| ~ spl20_4 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| spl20_1
| ~ spl20_4 ),
inference(global_subsumption,[],[f134,f133,f136,f137,f138,f201,f140,f202,f139,f142,f141,f148,f146,f145,f144,f143,f149,f152,f151,f206,f150,f207,f200,f153,f158,f210,f157,f211,f156,f212,f159,f213,f214,f160,f215,f216,f161,f217,f218,f162,f219,f164,f221,f163,f223,f166,f169,f168,f167,f172,f227,f176,f229,f175,f231,f174,f233,f234,f173,f235,f236,f178,f238,f177,f240,f180,f242,f179,f244,f198,f246,f247,f248,f249,f199,f250,f251,f252,f184,f254,f255,f256,f183,f258,f259,f260,f185,f262,f186,f264,f187,f266,f188,f268,f189,f190,f270,f192,f272,f191,f273,f193,f194,f195,f126,f128,f204,f127,f129,f135,f196,f203,f228,f131,f130,f276,f208,f209,f277,f274,f279,f280,f147,f205,f220,f271,f275,f132,f284,f291,f292,f295,f296,f297,f225,f226,f230,f232,f300,f299,f239,f305,f241,f237,f311,f312,f315,f253,f317,f318,f320,f321,f322,f316,f325,f326,f328,f329,f330,f331,f222,f319,f332,f333,f334,f335,f336,f337,f338,f303,f313,f340,f341,f339,f342,f314,f344,f345,f343,f327,f348,f349,f350,f351,f352,f353,f354,f224,f356,f357,f309,f358,f359,f360,f361,f362,f243,f364,f365,f363,f245,f378,f379,f263,f382,f383,f380,f381,f265,f386,f387,f384,f267,f389,f392,f393,f394,f395,f396,f385,f269,f397,f400,f401,f402,f403,f404,f406,f407,f411,f413,f414,f408,f409,f415,f417,f420,f421,f418,f416,f431,f429,f438,f430,f444,f445,f446,f440,f447,f448,f449,f450,f451,f452,f170,f454,f455,f456,f457,f458,f460,f461,f462,f463,f464,f465,f467,f468,f469,f470,f471,f466,f410,f475,f419,f476,f477,f422,f478,f423,f479,f453,f481,f482,f483,f484,f485,f480,f488,f489,f490,f459,f492,f493,f494,f495,f496,f171,f502,f503,f509,f439,f514,f515,f516,f517,f518,f442,f520,f521,f526,f527,f529,f530,f533,f535,f536,f537,f539,f540,f541,f542,f543,f531,f545,f547,f548,f549,f551,f552,f553,f554,f555,f532,f534,f257,f579,f580,f581,f582,f544,f546,f261,f611,f612,f613,f614,f524,f665,f666,f667,f668,f669,f670,f672,f673,f674,f675,f676,f655,f685,f688,f689,f690,f694,f695,f687,f692,f693,f691,f686,f698,f699,f703,f701,f388,f373]) ).
fof(f707,plain,
spl20_3,
inference(avatar_contradiction_clause,[],[f706]) ).
fof(f706,plain,
( $false
| spl20_3 ),
inference(subsumption_resolution,[],[f701,f375]) ).
fof(f375,plain,
( ~ relation_like(sK6)
| spl20_3 ),
inference(resolution,[],[f369,f208]) ).
fof(f369,plain,
( ~ ilf_type(sK6,binary_relation_type)
| spl20_3 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f605,plain,
( spl20_11
| spl20_12 ),
inference(avatar_split_clause,[],[f546,f602,f598]) ).
fof(f598,plain,
( spl20_11
<=> empty(domain_of(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f602,plain,
( spl20_12
<=> member(sK12(domain_of(sK6)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f595,plain,
( spl20_9
| spl20_10 ),
inference(avatar_split_clause,[],[f544,f592,f588]) ).
fof(f588,plain,
( spl20_9
<=> sP0(domain_of(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).
fof(f592,plain,
( spl20_10
<=> member(sK9(domain_of(sK6)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f574,plain,
( spl20_7
| spl20_8 ),
inference(avatar_split_clause,[],[f534,f571,f567]) ).
fof(f571,plain,
( spl20_8
<=> member(sK12(range_of(sK6)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f564,plain,
( spl20_5
| spl20_6 ),
inference(avatar_split_clause,[],[f532,f561,f557]) ).
fof(f561,plain,
( spl20_6
<=> member(sK9(range_of(sK6)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f374,plain,
( ~ spl20_3
| spl20_4
| spl20_1 ),
inference(avatar_split_clause,[],[f363,f283,f371,f367]) ).
fof(f290,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f132,f287,f283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET681+3 : TPTP v8.2.0. Released v2.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 12:39:37 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (21803)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (21806)WARNING: value z3 for option sas not known
% 0.14/0.37 % (21807)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (21804)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (21805)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (21808)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)
% 0.14/0.37 % (21809)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)
% 0.14/0.37 % (21806)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)
% 0.14/0.37 % (21810)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.20/0.40 TRYING [1]
% 0.20/0.40 TRYING [2]
% 0.20/0.41 % (21806)First to succeed.
% 0.20/0.42 TRYING [4]
% 0.20/0.42 % (21806)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21803"
% 0.20/0.42 % (21806)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (21806)------------------------------
% 0.20/0.43 % (21806)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.43 % (21806)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (21806)Memory used [KB]: 1473
% 0.20/0.43 % (21806)Time elapsed: 0.050 s
% 0.20/0.43 % (21806)Instructions burned: 87 (million)
% 0.20/0.43 % (21803)Success in time 0.06 s
%------------------------------------------------------------------------------