TSTP Solution File: SEU401+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU401+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : 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 Apr 30 15:34:13 EDT 2024
% Result : Theorem 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 194
% Syntax : Number of formulae : 1329 ( 34 unt; 0 def)
% Number of atoms : 5817 ( 601 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 7639 (3151 ~;3480 |; 766 &)
% ( 116 <=>; 125 =>; 0 <=; 1 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 138 ( 136 usr; 105 prp; 0-3 aty)
% Number of functors : 41 ( 41 usr; 9 con; 0-4 aty)
% Number of variables : 1428 (1257 !; 171 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2768,plain,
$false,
inference(avatar_sat_refutation,[],[f412,f415,f580,f633,f640,f679,f690,f697,f716,f723,f733,f791,f807,f961,f963,f982,f984,f986,f988,f1042,f1054,f1062,f1068,f1070,f1072,f1074,f1083,f1085,f1087,f1123,f1164,f1173,f1221,f1252,f1305,f1312,f1335,f1342,f1431,f1435,f1464,f1486,f1523,f1532,f1561,f1571,f1592,f1687,f1692,f1697,f1718,f1723,f1728,f1828,f1855,f1867,f1909,f1994,f1998,f2002,f2065,f2076,f2086,f2144,f2163,f2219,f2278,f2287,f2320,f2336,f2360,f2376,f2399,f2440,f2463,f2505,f2528,f2570,f2621,f2625,f2629,f2635,f2637,f2639,f2763,f2767]) ).
fof(f2767,plain,
( spl33_9
| spl33_68 ),
inference(avatar_contradiction_clause,[],[f2766]) ).
fof(f2766,plain,
( $false
| spl33_9
| spl33_68 ),
inference(subsumption_resolution,[],[f1995,f698]) ).
fof(f698,plain,
( in(sK28(sK6,sK7),sK7)
| spl33_9 ),
inference(subsumption_resolution,[],[f693,f259]) ).
fof(f259,plain,
sK6 != sK7,
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( sK6 != sK7
& ! [X5] :
( ( in(X5,sK7)
| ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X7)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X7))) != X6
| X5 != X7
| topstr_closure(sK3,X6) != sK5
| ~ element(X7,the_carrier(sK4)) )
| ~ netstr_induced_subset(X6,sK3,sK4) )
| ~ in(X5,the_carrier(sK4)) )
& ( ( sK8(X5) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(X5))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(X5))))
& sK9(X5) = X5
& sK5 = topstr_closure(sK3,sK8(X5))
& element(sK9(X5),the_carrier(sK4))
& netstr_induced_subset(sK8(X5),sK3,sK4)
& in(X5,the_carrier(sK4)) )
| ~ in(X5,sK7) ) )
& ! [X10] :
( ( in(X10,sK6)
| ! [X11] :
( ! [X12] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X12)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X12))) != X11
| X10 != X12
| topstr_closure(sK3,X11) != sK5
| ~ element(X12,the_carrier(sK4)) )
| ~ netstr_induced_subset(X11,sK3,sK4) )
| ~ in(X10,the_carrier(sK4)) )
& ( ( sK10(X10) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(X10))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(X10))))
& sK11(X10) = X10
& sK5 = topstr_closure(sK3,sK10(X10))
& element(sK11(X10),the_carrier(sK4))
& netstr_induced_subset(sK10(X10),sK3,sK4)
& in(X10,the_carrier(sK4)) )
| ~ in(X10,sK6) ) )
& net_str(sK4,sK3)
& directed_relstr(sK4)
& transitive_relstr(sK4)
& ~ empty_carrier(sK4)
& top_str(sK3)
& topological_space(sK3)
& ~ empty_carrier(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f183,f189,f188,f187,f186,f185,f184]) ).
fof(f184,plain,
( ? [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ! [X5] :
( ( in(X5,X4)
| ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6
| X5 != X7
| topstr_closure(X0,X6) != X2
| ~ element(X7,the_carrier(X1)) )
| ~ netstr_induced_subset(X6,X0,X1) )
| ~ in(X5,the_carrier(X1)) )
& ( ( ? [X8] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X9)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X9))) = X8
& X5 = X9
& topstr_closure(X0,X8) = X2
& element(X9,the_carrier(X1)) )
& netstr_induced_subset(X8,X0,X1) )
& in(X5,the_carrier(X1)) )
| ~ in(X5,X4) ) )
& ! [X10] :
( ( in(X10,X3)
| ! [X11] :
( ! [X12] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X12)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X12))) != X11
| X10 != X12
| topstr_closure(X0,X11) != X2
| ~ element(X12,the_carrier(X1)) )
| ~ netstr_induced_subset(X11,X0,X1) )
| ~ in(X10,the_carrier(X1)) )
& ( ( ? [X13] :
( ? [X14] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X14)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X14))) = X13
& X10 = X14
& topstr_closure(X0,X13) = X2
& element(X14,the_carrier(X1)) )
& netstr_induced_subset(X13,X0,X1) )
& in(X10,the_carrier(X1)) )
| ~ in(X10,X3) ) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ( ? [X4,X3,X2] :
( X3 != X4
& ! [X5] :
( ( in(X5,X4)
| ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X7)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X7))) != X6
| X5 != X7
| topstr_closure(sK3,X6) != X2
| ~ element(X7,the_carrier(sK4)) )
| ~ netstr_induced_subset(X6,sK3,sK4) )
| ~ in(X5,the_carrier(sK4)) )
& ( ( ? [X8] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X9)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X9))) = X8
& X5 = X9
& topstr_closure(sK3,X8) = X2
& element(X9,the_carrier(sK4)) )
& netstr_induced_subset(X8,sK3,sK4) )
& in(X5,the_carrier(sK4)) )
| ~ in(X5,X4) ) )
& ! [X10] :
( ( in(X10,X3)
| ! [X11] :
( ! [X12] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X12)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X12))) != X11
| X10 != X12
| topstr_closure(sK3,X11) != X2
| ~ element(X12,the_carrier(sK4)) )
| ~ netstr_induced_subset(X11,sK3,sK4) )
| ~ in(X10,the_carrier(sK4)) )
& ( ( ? [X13] :
( ? [X14] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X14)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X14))) = X13
& X10 = X14
& topstr_closure(sK3,X13) = X2
& element(X14,the_carrier(sK4)) )
& netstr_induced_subset(X13,sK3,sK4) )
& in(X10,the_carrier(sK4)) )
| ~ in(X10,X3) ) ) )
& net_str(sK4,sK3)
& directed_relstr(sK4)
& transitive_relstr(sK4)
& ~ empty_carrier(sK4)
& top_str(sK3)
& topological_space(sK3)
& ~ empty_carrier(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ? [X4,X3,X2] :
( X3 != X4
& ! [X5] :
( ( in(X5,X4)
| ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X7)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X7))) != X6
| X5 != X7
| topstr_closure(sK3,X6) != X2
| ~ element(X7,the_carrier(sK4)) )
| ~ netstr_induced_subset(X6,sK3,sK4) )
| ~ in(X5,the_carrier(sK4)) )
& ( ( ? [X8] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X9)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X9))) = X8
& X5 = X9
& topstr_closure(sK3,X8) = X2
& element(X9,the_carrier(sK4)) )
& netstr_induced_subset(X8,sK3,sK4) )
& in(X5,the_carrier(sK4)) )
| ~ in(X5,X4) ) )
& ! [X10] :
( ( in(X10,X3)
| ! [X11] :
( ! [X12] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X12)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X12))) != X11
| X10 != X12
| topstr_closure(sK3,X11) != X2
| ~ element(X12,the_carrier(sK4)) )
| ~ netstr_induced_subset(X11,sK3,sK4) )
| ~ in(X10,the_carrier(sK4)) )
& ( ( ? [X13] :
( ? [X14] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X14)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X14))) = X13
& X10 = X14
& topstr_closure(sK3,X13) = X2
& element(X14,the_carrier(sK4)) )
& netstr_induced_subset(X13,sK3,sK4) )
& in(X10,the_carrier(sK4)) )
| ~ in(X10,X3) ) ) )
=> ( sK6 != sK7
& ! [X5] :
( ( in(X5,sK7)
| ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X7)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X7))) != X6
| X5 != X7
| topstr_closure(sK3,X6) != sK5
| ~ element(X7,the_carrier(sK4)) )
| ~ netstr_induced_subset(X6,sK3,sK4) )
| ~ in(X5,the_carrier(sK4)) )
& ( ( ? [X8] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X9)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X9))) = X8
& X5 = X9
& topstr_closure(sK3,X8) = sK5
& element(X9,the_carrier(sK4)) )
& netstr_induced_subset(X8,sK3,sK4) )
& in(X5,the_carrier(sK4)) )
| ~ in(X5,sK7) ) )
& ! [X10] :
( ( in(X10,sK6)
| ! [X11] :
( ! [X12] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X12)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X12))) != X11
| X10 != X12
| topstr_closure(sK3,X11) != sK5
| ~ element(X12,the_carrier(sK4)) )
| ~ netstr_induced_subset(X11,sK3,sK4) )
| ~ in(X10,the_carrier(sK4)) )
& ( ( ? [X13] :
( ? [X14] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X14)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X14))) = X13
& X10 = X14
& topstr_closure(sK3,X13) = sK5
& element(X14,the_carrier(sK4)) )
& netstr_induced_subset(X13,sK3,sK4) )
& in(X10,the_carrier(sK4)) )
| ~ in(X10,sK6) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X5] :
( ? [X8] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X9)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X9))) = X8
& X5 = X9
& topstr_closure(sK3,X8) = sK5
& element(X9,the_carrier(sK4)) )
& netstr_induced_subset(X8,sK3,sK4) )
=> ( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X9)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X9))) = sK8(X5)
& X5 = X9
& sK5 = topstr_closure(sK3,sK8(X5))
& element(X9,the_carrier(sK4)) )
& netstr_induced_subset(sK8(X5),sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
! [X5] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X9)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X9))) = sK8(X5)
& X5 = X9
& sK5 = topstr_closure(sK3,sK8(X5))
& element(X9,the_carrier(sK4)) )
=> ( sK8(X5) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(X5))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(X5))))
& sK9(X5) = X5
& sK5 = topstr_closure(sK3,sK8(X5))
& element(sK9(X5),the_carrier(sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X10] :
( ? [X13] :
( ? [X14] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X14)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X14))) = X13
& X10 = X14
& topstr_closure(sK3,X13) = sK5
& element(X14,the_carrier(sK4)) )
& netstr_induced_subset(X13,sK3,sK4) )
=> ( ? [X14] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X14)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X14))) = sK10(X10)
& X10 = X14
& sK5 = topstr_closure(sK3,sK10(X10))
& element(X14,the_carrier(sK4)) )
& netstr_induced_subset(sK10(X10),sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
! [X10] :
( ? [X14] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X14)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X14))) = sK10(X10)
& X10 = X14
& sK5 = topstr_closure(sK3,sK10(X10))
& element(X14,the_carrier(sK4)) )
=> ( sK10(X10) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(X10))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(X10))))
& sK11(X10) = X10
& sK5 = topstr_closure(sK3,sK10(X10))
& element(sK11(X10),the_carrier(sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
? [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ! [X5] :
( ( in(X5,X4)
| ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6
| X5 != X7
| topstr_closure(X0,X6) != X2
| ~ element(X7,the_carrier(X1)) )
| ~ netstr_induced_subset(X6,X0,X1) )
| ~ in(X5,the_carrier(X1)) )
& ( ( ? [X8] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X9)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X9))) = X8
& X5 = X9
& topstr_closure(X0,X8) = X2
& element(X9,the_carrier(X1)) )
& netstr_induced_subset(X8,X0,X1) )
& in(X5,the_carrier(X1)) )
| ~ in(X5,X4) ) )
& ! [X10] :
( ( in(X10,X3)
| ! [X11] :
( ! [X12] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X12)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X12))) != X11
| X10 != X12
| topstr_closure(X0,X11) != X2
| ~ element(X12,the_carrier(X1)) )
| ~ netstr_induced_subset(X11,X0,X1) )
| ~ in(X10,the_carrier(X1)) )
& ( ( ? [X13] :
( ? [X14] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X14)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X14))) = X13
& X10 = X14
& topstr_closure(X0,X13) = X2
& element(X14,the_carrier(X1)) )
& netstr_induced_subset(X13,X0,X1) )
& in(X10,the_carrier(X1)) )
| ~ in(X10,X3) ) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(rectify,[],[f182]) ).
fof(f182,plain,
? [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& ! [X6] :
( ( in(X6,X5)
| ! [X7] :
( ! [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) != X7
| X6 != X8
| topstr_closure(X0,X7) != X3
| ~ element(X8,the_carrier(X1)) )
| ~ netstr_induced_subset(X7,X0,X1) )
| ~ in(X6,the_carrier(X1)) )
& ( ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& in(X6,the_carrier(X1)) )
| ~ in(X6,X5) ) )
& ! [X9] :
( ( in(X9,X4)
| ! [X10] :
( ! [X11] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) != X10
| X9 != X11
| topstr_closure(X0,X10) != X3
| ~ element(X11,the_carrier(X1)) )
| ~ netstr_induced_subset(X10,X0,X1) )
| ~ in(X9,the_carrier(X1)) )
& ( ( ? [X10] :
( ? [X11] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) = X10
& X9 = X11
& topstr_closure(X0,X10) = X3
& element(X11,the_carrier(X1)) )
& netstr_induced_subset(X10,X0,X1) )
& in(X9,the_carrier(X1)) )
| ~ in(X9,X4) ) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
? [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& ! [X6] :
( ( in(X6,X5)
| ! [X7] :
( ! [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) != X7
| X6 != X8
| topstr_closure(X0,X7) != X3
| ~ element(X8,the_carrier(X1)) )
| ~ netstr_induced_subset(X7,X0,X1) )
| ~ in(X6,the_carrier(X1)) )
& ( ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& in(X6,the_carrier(X1)) )
| ~ in(X6,X5) ) )
& ! [X9] :
( ( in(X9,X4)
| ! [X10] :
( ! [X11] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) != X10
| X9 != X11
| topstr_closure(X0,X10) != X3
| ~ element(X11,the_carrier(X1)) )
| ~ netstr_induced_subset(X10,X0,X1) )
| ~ in(X9,the_carrier(X1)) )
& ( ( ? [X10] :
( ? [X11] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) = X10
& X9 = X11
& topstr_closure(X0,X10) = X3
& element(X11,the_carrier(X1)) )
& netstr_induced_subset(X10,X0,X1) )
& in(X9,the_carrier(X1)) )
| ~ in(X9,X4) ) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
? [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& ! [X6] :
( in(X6,X5)
<=> ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& in(X6,the_carrier(X1)) ) )
& ! [X9] :
( in(X9,X4)
<=> ( ? [X10] :
( ? [X11] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) = X10
& X9 = X11
& topstr_closure(X0,X10) = X3
& element(X11,the_carrier(X1)) )
& netstr_induced_subset(X10,X0,X1) )
& in(X9,the_carrier(X1)) ) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
? [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& ! [X6] :
( in(X6,X5)
<=> ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& in(X6,the_carrier(X1)) ) )
& ! [X9] :
( in(X9,X4)
<=> ( ? [X10] :
( ? [X11] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) = X10
& X9 = X11
& topstr_closure(X0,X10) = X3
& element(X11,the_carrier(X1)) )
& netstr_induced_subset(X10,X0,X1) )
& in(X9,the_carrier(X1)) ) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
~ ! [X0,X1] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X3,X4,X5] :
( ( ! [X6] :
( in(X6,X5)
<=> ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& in(X6,the_carrier(X1)) ) )
& ! [X9] :
( in(X9,X4)
<=> ( ? [X10] :
( ? [X11] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) = X10
& X9 = X11
& topstr_closure(X0,X10) = X3
& element(X11,the_carrier(X1)) )
& netstr_induced_subset(X10,X0,X1) )
& in(X9,the_carrier(X1)) ) ) )
=> X4 = X5 ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X3,X4,X5] :
( ( ! [X6] :
( in(X6,X5)
<=> ( ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X6 = X10
& topstr_closure(X0,X9) = X3
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& in(X6,the_carrier(X1)) ) )
& ! [X6] :
( in(X6,X4)
<=> ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& in(X6,the_carrier(X1)) ) ) )
=> X4 = X5 ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X3,X4,X5] :
( ( ! [X6] :
( in(X6,X5)
<=> ( ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X6 = X10
& topstr_closure(X0,X9) = X3
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& in(X6,the_carrier(X1)) ) )
& ! [X6] :
( in(X6,X4)
<=> ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& in(X6,the_carrier(X1)) ) ) )
=> X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_xboole_0__e6_39_3__yellow19__1) ).
fof(f693,plain,
( in(sK28(sK6,sK7),sK7)
| sK6 = sK7
| spl33_9 ),
inference(resolution,[],[f685,f353]) ).
fof(f353,plain,
! [X0,X1] :
( in(sK28(X0,X1),X1)
| in(sK28(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK28(X0,X1),X1)
| ~ in(sK28(X0,X1),X0) )
& ( in(sK28(X0,X1),X1)
| in(sK28(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f226,f227]) ).
fof(f227,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK28(X0,X1),X1)
| ~ in(sK28(X0,X1),X0) )
& ( in(sK28(X0,X1),X1)
| in(sK28(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f685,plain,
( ~ in(sK28(sK6,sK7),sK6)
| spl33_9 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl33_9
<=> in(sK28(sK6,sK7),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_9])]) ).
fof(f1995,plain,
( ~ in(sK28(sK6,sK7),sK7)
| spl33_68 ),
inference(resolution,[],[f1989,f252]) ).
fof(f252,plain,
! [X5] :
( in(X5,the_carrier(sK4))
| ~ in(X5,sK7) ),
inference(cnf_transformation,[],[f190]) ).
fof(f1989,plain,
( ~ in(sK28(sK6,sK7),the_carrier(sK4))
| spl33_68 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f1987,plain,
( spl33_68
<=> in(sK28(sK6,sK7),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_68])]) ).
fof(f2763,plain,
( ~ spl33_8
| spl33_9
| ~ spl33_10
| ~ spl33_68 ),
inference(avatar_contradiction_clause,[],[f2762]) ).
fof(f2762,plain,
( $false
| ~ spl33_8
| spl33_9
| ~ spl33_10
| ~ spl33_68 ),
inference(subsumption_resolution,[],[f2761,f698]) ).
fof(f2761,plain,
( ~ in(sK28(sK6,sK7),sK7)
| ~ spl33_8
| spl33_9
| ~ spl33_10
| ~ spl33_68 ),
inference(resolution,[],[f2746,f253]) ).
fof(f253,plain,
! [X5] :
( netstr_induced_subset(sK8(X5),sK3,sK4)
| ~ in(X5,sK7) ),
inference(cnf_transformation,[],[f190]) ).
fof(f2746,plain,
( ~ netstr_induced_subset(sK8(sK28(sK6,sK7)),sK3,sK4)
| ~ spl33_8
| spl33_9
| ~ spl33_10
| ~ spl33_68 ),
inference(forward_demodulation,[],[f2745,f2730]) ).
fof(f2730,plain,
( sK8(sK28(sK6,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))))
| spl33_9 ),
inference(forward_demodulation,[],[f2113,f2088]) ).
fof(f2088,plain,
( sK28(sK6,sK7) = sK9(sK28(sK6,sK7))
| spl33_9 ),
inference(global_subsumption,[],[f344,f343,f362,f360,f367,f373,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f685,f695,f517,f699,f698,f701,f702,f346,f703,f694,f347,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f475,f480,f439,f257,f795,f796,f738,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f507,f567,f768,f1075,f566,f489,f351,f1112,f368,f1150,f369,f334,f366,f858,f1255,f1259,f914,f1265,f836,f1253,f1114,f1281,f1282,f1278,f776,f1287,f361,f363,f1288,f1353,f1354,f1284,f743,f744,f861,f1392,f1395,f1397,f868,f1399,f1400,f922,f1402,f1176,f1403,f364,f1406,f1190,f1408,f1409,f1410,f1411,f1412,f774,f1419,f1417,f365,f1473,f1472,f1471,f1470,f816,f1490,f374,f1496,f1398,f1497,f1499,f1404,f1500,f1501,f1418,f1502,f1503,f1506,f1507,f1508,f375,f1529,f359,f1578,f1581,f372,f1665,f376,f1804,f1792,f377,f1846,f1834,f378,f1894,f1882,f379,f1944,f1932,f389,f391,f2087,f764]) ).
fof(f764,plain,
( sK10(sK28(sK6,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(sK28(sK6,sK7)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(sK28(sK6,sK7)))))
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7)) ),
inference(subsumption_resolution,[],[f756,f259]) ).
fof(f756,plain,
( sK10(sK28(sK6,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(sK28(sK6,sK7)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(sK28(sK6,sK7)))))
| sK6 = sK7
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7)) ),
inference(resolution,[],[f250,f474]) ).
fof(f2087,plain,
( sK8(sK28(sK6,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(sK28(sK6,sK7)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(sK28(sK6,sK7)))))
| sK28(sK6,sK7) = sK11(sK28(sK6,sK7)) ),
inference(subsumption_resolution,[],[f801,f259]) ).
fof(f801,plain,
( sK8(sK28(sK6,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(sK28(sK6,sK7)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(sK28(sK6,sK7)))))
| sK6 = sK7
| sK28(sK6,sK7) = sK11(sK28(sK6,sK7)) ),
inference(resolution,[],[f257,f477]) ).
fof(f391,plain,
! [X12] :
( sK5 != topstr_closure(sK3,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X12)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X12))))
| in(X12,sK6)
| ~ element(X12,the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X12)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X12))),sK3,sK4)
| ~ in(X12,the_carrier(sK4)) ),
inference(equality_resolution,[],[f390]) ).
fof(f390,plain,
! [X10,X12] :
( in(X10,sK6)
| X10 != X12
| sK5 != topstr_closure(sK3,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X12)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X12))))
| ~ element(X12,the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X12)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X12))),sK3,sK4)
| ~ in(X10,the_carrier(sK4)) ),
inference(equality_resolution,[],[f251]) ).
fof(f251,plain,
! [X10,X11,X12] :
( in(X10,sK6)
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X12)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X12))) != X11
| X10 != X12
| topstr_closure(sK3,X11) != sK5
| ~ element(X12,the_carrier(sK4))
| ~ netstr_induced_subset(X11,sK3,sK4)
| ~ in(X10,the_carrier(sK4)) ),
inference(cnf_transformation,[],[f190]) ).
fof(f389,plain,
! [X7] :
( sK5 != topstr_closure(sK3,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X7)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X7))))
| in(X7,sK7)
| ~ element(X7,the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X7)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X7))),sK3,sK4)
| ~ in(X7,the_carrier(sK4)) ),
inference(equality_resolution,[],[f388]) ).
fof(f388,plain,
! [X7,X5] :
( in(X5,sK7)
| X5 != X7
| sK5 != topstr_closure(sK3,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X7)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X7))))
| ~ element(X7,the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X7)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X7))),sK3,sK4)
| ~ in(X5,the_carrier(sK4)) ),
inference(equality_resolution,[],[f258]) ).
fof(f258,plain,
! [X6,X7,X5] :
( in(X5,sK7)
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X7)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X7))) != X6
| X5 != X7
| topstr_closure(sK3,X6) != sK5
| ~ element(X7,the_carrier(sK4))
| ~ netstr_induced_subset(X6,sK3,sK4)
| ~ in(X5,the_carrier(sK4)) ),
inference(cnf_transformation,[],[f190]) ).
fof(f1932,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| the_mapping(sK31,sK16(sK31)) = X3
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(superposition,[],[f379,f1282]) ).
fof(f1944,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| the_mapping(sK31,sK16(sK31)) = X3
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ quasi_total(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ function(the_mapping(sK31,sK16(sK31)))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(subsumption_resolution,[],[f1929,f384]) ).
fof(f1929,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| the_mapping(sK31,sK16(sK31)) = X3
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ quasi_total(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ function(the_mapping(sK31,sK16(sK31)))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31)))
| ~ one_sorted_str(sK31) ),
inference(superposition,[],[f379,f1282]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( net_str_of(X0,X1,X2,X3) != net_str_of(X4,X5,X6,X7)
| X3 = X7
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5,X6,X7] :
( ( X3 = X7
& X2 = X6
& X1 = X5
& X0 = X4 )
| net_str_of(X0,X1,X2,X3) != net_str_of(X4,X5,X6,X7) )
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5,X6,X7] :
( ( X3 = X7
& X2 = X6
& X1 = X5
& X0 = X4 )
| net_str_of(X0,X1,X2,X3) != net_str_of(X4,X5,X6,X7) )
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2,X3] :
( ( relation_of2(X3,X1,the_carrier(X0))
& quasi_total(X3,X1,the_carrier(X0))
& function(X3)
& relation_of2(X2,X1,X1)
& one_sorted_str(X0) )
=> ! [X4,X5,X6,X7] :
( net_str_of(X0,X1,X2,X3) = net_str_of(X4,X5,X6,X7)
=> ( X3 = X7
& X2 = X6
& X1 = X5
& X0 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_waybel_0) ).
fof(f1882,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| the_InternalRel(sK16(sK31)) = X2
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(superposition,[],[f378,f1282]) ).
fof(f1894,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| the_InternalRel(sK16(sK31)) = X2
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ quasi_total(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ function(the_mapping(sK31,sK16(sK31)))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(subsumption_resolution,[],[f1879,f384]) ).
fof(f1879,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| the_InternalRel(sK16(sK31)) = X2
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ quasi_total(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ function(the_mapping(sK31,sK16(sK31)))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31)))
| ~ one_sorted_str(sK31) ),
inference(superposition,[],[f378,f1282]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( net_str_of(X0,X1,X2,X3) != net_str_of(X4,X5,X6,X7)
| X2 = X6
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f1834,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| the_carrier(sK16(sK31)) = X1
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(superposition,[],[f377,f1282]) ).
fof(f1846,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| the_carrier(sK16(sK31)) = X1
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ quasi_total(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ function(the_mapping(sK31,sK16(sK31)))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(subsumption_resolution,[],[f1831,f384]) ).
fof(f1831,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| the_carrier(sK16(sK31)) = X1
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ quasi_total(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ function(the_mapping(sK31,sK16(sK31)))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31)))
| ~ one_sorted_str(sK31) ),
inference(superposition,[],[f377,f1282]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( net_str_of(X0,X1,X2,X3) != net_str_of(X4,X5,X6,X7)
| X1 = X5
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f1792,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| sK31 = X0
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(superposition,[],[f376,f1282]) ).
fof(f1804,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| sK31 = X0
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ quasi_total(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ function(the_mapping(sK31,sK16(sK31)))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(subsumption_resolution,[],[f1789,f384]) ).
fof(f1789,plain,
! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK31)
| sK31 = X0
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ quasi_total(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ function(the_mapping(sK31,sK16(sK31)))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31)))
| ~ one_sorted_str(sK31) ),
inference(superposition,[],[f376,f1282]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( net_str_of(X0,X1,X2,X3) != net_str_of(X4,X5,X6,X7)
| X0 = X4
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f1665,plain,
( ~ empty_carrier(sK16(sK31))
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ quasi_total(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ function(the_mapping(sK31,sK16(sK31)))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31)))
| empty(the_carrier(sK16(sK31))) ),
inference(subsumption_resolution,[],[f1656,f384]) ).
fof(f1656,plain,
( ~ empty_carrier(sK16(sK31))
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ quasi_total(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ function(the_mapping(sK31,sK16(sK31)))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31)))
| empty(the_carrier(sK16(sK31)))
| ~ one_sorted_str(sK31) ),
inference(superposition,[],[f372,f1282]) ).
fof(f372,plain,
! [X2,X3,X0,X1] :
( ~ empty_carrier(net_str_of(X0,X1,X2,X3))
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| empty(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ( strict_net_str(net_str_of(X0,X1,X2,X3),X0)
& ~ empty_carrier(net_str_of(X0,X1,X2,X3)) )
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| empty(X1)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ( strict_net_str(net_str_of(X0,X1,X2,X3),X0)
& ~ empty_carrier(net_str_of(X0,X1,X2,X3)) )
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| empty(X1)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2,X3] :
( ( relation_of2(X3,X1,the_carrier(X0))
& quasi_total(X3,X1,the_carrier(X0))
& function(X3)
& relation_of2(X2,X1,X1)
& ~ empty(X1)
& one_sorted_str(X0) )
=> ( strict_net_str(net_str_of(X0,X1,X2,X3),X0)
& ~ empty_carrier(net_str_of(X0,X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel_0) ).
fof(f1581,plain,
! [X0,X1] :
( ~ in(X1,sK7)
| ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,sK4,sK9(X1)) = subnetstr_of_element(X0,sK4,sK9(X1)) ),
inference(subsumption_resolution,[],[f1580,f241]) ).
fof(f1580,plain,
! [X0,X1] :
( netstr_restr_to_element(X0,sK4,sK9(X1)) = subnetstr_of_element(X0,sK4,sK9(X1))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ in(X1,sK7) ),
inference(subsumption_resolution,[],[f1579,f242]) ).
fof(f1579,plain,
! [X0,X1] :
( netstr_restr_to_element(X0,sK4,sK9(X1)) = subnetstr_of_element(X0,sK4,sK9(X1))
| ~ net_str(sK4,X0)
| ~ transitive_relstr(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ in(X1,sK7) ),
inference(subsumption_resolution,[],[f1573,f243]) ).
fof(f1573,plain,
! [X0,X1] :
( netstr_restr_to_element(X0,sK4,sK9(X1)) = subnetstr_of_element(X0,sK4,sK9(X1))
| ~ net_str(sK4,X0)
| ~ directed_relstr(sK4)
| ~ transitive_relstr(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ in(X1,sK7) ),
inference(resolution,[],[f359,f254]) ).
fof(f1578,plain,
! [X0,X1] :
( ~ in(X1,sK6)
| ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,sK4,sK11(X1)) = subnetstr_of_element(X0,sK4,sK11(X1)) ),
inference(subsumption_resolution,[],[f1577,f241]) ).
fof(f1577,plain,
! [X0,X1] :
( netstr_restr_to_element(X0,sK4,sK11(X1)) = subnetstr_of_element(X0,sK4,sK11(X1))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ in(X1,sK6) ),
inference(subsumption_resolution,[],[f1576,f242]) ).
fof(f1576,plain,
! [X0,X1] :
( netstr_restr_to_element(X0,sK4,sK11(X1)) = subnetstr_of_element(X0,sK4,sK11(X1))
| ~ net_str(sK4,X0)
| ~ transitive_relstr(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ in(X1,sK6) ),
inference(subsumption_resolution,[],[f1572,f243]) ).
fof(f1572,plain,
! [X0,X1] :
( netstr_restr_to_element(X0,sK4,sK11(X1)) = subnetstr_of_element(X0,sK4,sK11(X1))
| ~ net_str(sK4,X0)
| ~ directed_relstr(sK4)
| ~ transitive_relstr(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ in(X1,sK6) ),
inference(resolution,[],[f359,f247]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X1))
| netstr_restr_to_element(X0,X1,X2) = subnetstr_of_element(X0,X1,X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2] :
( netstr_restr_to_element(X0,X1,X2) = subnetstr_of_element(X0,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2] :
( netstr_restr_to_element(X0,X1,X2) = subnetstr_of_element(X0,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X1))
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> netstr_restr_to_element(X0,X1,X2) = subnetstr_of_element(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_waybel_9) ).
fof(f1529,plain,
! [X2,X0,X1] :
( net_str(net_str_of(X0,the_carrier(X1),X2,the_mapping(X0,X1)),X0)
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(subsumption_resolution,[],[f1528,f348]) ).
fof(f1528,plain,
! [X2,X0,X1] :
( net_str(net_str_of(X0,the_carrier(X1),X2,the_mapping(X0,X1)),X0)
| ~ function(the_mapping(X0,X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(subsumption_resolution,[],[f1527,f470]) ).
fof(f1527,plain,
! [X2,X0,X1] :
( ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| net_str(net_str_of(X0,the_carrier(X1),X2,the_mapping(X0,X1)),X0)
| ~ function(the_mapping(X0,X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(duplicate_literal_removal,[],[f1526]) ).
fof(f1526,plain,
! [X2,X0,X1] :
( ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| net_str(net_str_of(X0,the_carrier(X1),X2,the_mapping(X0,X1)),X0)
| ~ function(the_mapping(X0,X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f375,f349]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( ~ quasi_total(X3,X1,the_carrier(X0))
| ~ relation_of2(X3,X1,the_carrier(X0))
| net_str(net_str_of(X0,X1,X2,X3),X0)
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ( net_str(net_str_of(X0,X1,X2,X3),X0)
& strict_net_str(net_str_of(X0,X1,X2,X3),X0) )
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( ( net_str(net_str_of(X0,X1,X2,X3),X0)
& strict_net_str(net_str_of(X0,X1,X2,X3),X0) )
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2,X3] :
( ( relation_of2(X3,X1,the_carrier(X0))
& quasi_total(X3,X1,the_carrier(X0))
& function(X3)
& relation_of2(X2,X1,X1)
& one_sorted_str(X0) )
=> ( net_str(net_str_of(X0,X1,X2,X3),X0)
& strict_net_str(net_str_of(X0,X1,X2,X3),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_waybel_0) ).
fof(f1508,plain,
relation_rng(the_mapping(sK31,sK16(sK31))) = relation_rng_as_subset(the_carrier(sK16(sK31)),the_carrier(sK31),the_mapping(sK31,sK16(sK31))),
inference(resolution,[],[f1418,f384]) ).
fof(f1507,plain,
! [X0,X1] :
( relation_rng(the_mapping(sK27(X0,X1),sK16(sK27(X0,X1)))) = relation_rng_as_subset(the_carrier(sK16(sK27(X0,X1))),the_carrier(sK27(X0,X1)),the_mapping(sK27(X0,X1),sK16(sK27(X0,X1))))
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1) ),
inference(resolution,[],[f1418,f1410]) ).
fof(f1506,plain,
! [X0] :
( relation_rng(the_mapping(sK16(X0),sK16(sK16(X0)))) = relation_rng_as_subset(the_carrier(sK16(sK16(X0))),the_carrier(sK16(X0)),the_mapping(sK16(X0),sK16(sK16(X0))))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f1418,f417]) ).
fof(f1503,plain,
! [X2,X0,X1] :
( relation_rng(the_mapping(netstr_restr_to_element(X0,X1,X2),sK16(netstr_restr_to_element(X0,X1,X2)))) = relation_rng_as_subset(the_carrier(sK16(netstr_restr_to_element(X0,X1,X2))),the_carrier(netstr_restr_to_element(X0,X1,X2)),the_mapping(netstr_restr_to_element(X0,X1,X2),sK16(netstr_restr_to_element(X0,X1,X2))))
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0) ),
inference(resolution,[],[f1418,f1404]) ).
fof(f1502,plain,
! [X0] :
( ~ top_str(X0)
| relation_rng(the_mapping(X0,sK16(X0))) = relation_rng_as_subset(the_carrier(sK16(X0)),the_carrier(X0),the_mapping(X0,sK16(X0))) ),
inference(resolution,[],[f1418,f271]) ).
fof(f1418,plain,
! [X0] :
( ~ one_sorted_str(X0)
| relation_rng(the_mapping(X0,sK16(X0))) = relation_rng_as_subset(the_carrier(sK16(X0)),the_carrier(X0),the_mapping(X0,sK16(X0))) ),
inference(duplicate_literal_removal,[],[f1415]) ).
fof(f1415,plain,
! [X0] :
( ~ one_sorted_str(X0)
| relation_rng(the_mapping(X0,sK16(X0))) = relation_rng_as_subset(the_carrier(sK16(X0)),the_carrier(X0),the_mapping(X0,sK16(X0)))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f774,f277]) ).
fof(f1501,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X0))
| ~ net_str(X0,X1)
| sK16(netstr_restr_to_element(X1,X0,X2)) = net_str_of(netstr_restr_to_element(X1,X0,X2),the_carrier(sK16(netstr_restr_to_element(X1,X0,X2))),the_InternalRel(sK16(netstr_restr_to_element(X1,X0,X2))),the_mapping(netstr_restr_to_element(X1,X0,X2),sK16(netstr_restr_to_element(X1,X0,X2)))) ),
inference(resolution,[],[f1404,f1114]) ).
fof(f1500,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X0))
| ~ net_str(X0,X1)
| relation_rng_as_subset(the_carrier(sK16(netstr_restr_to_element(X1,X0,X2))),the_carrier(sK16(netstr_restr_to_element(X1,X0,X2))),the_InternalRel(sK16(netstr_restr_to_element(X1,X0,X2)))) = relation_rng(the_InternalRel(sK16(netstr_restr_to_element(X1,X0,X2)))) ),
inference(resolution,[],[f1404,f776]) ).
fof(f1404,plain,
! [X2,X0,X1] :
( one_sorted_str(netstr_restr_to_element(X1,X0,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X0))
| ~ net_str(X0,X1) ),
inference(resolution,[],[f1176,f269]) ).
fof(f1499,plain,
! [X0] :
( ~ closed_subset(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ open_subset(sK20(X0),X0)
| ~ boundary_set(sK20(X0),X0) ),
inference(duplicate_literal_removal,[],[f1498]) ).
fof(f1498,plain,
! [X0] :
( ~ open_subset(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ closed_subset(sK20(X0),X0)
| ~ boundary_set(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1497,f922]) ).
fof(f1497,plain,
! [X0] :
( ~ nowhere_dense(sK20(X0),X0)
| ~ open_subset(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(global_subsumption,[],[f389,f391,f344,f343,f359,f362,f360,f367,f373,f372,f375,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f347,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f475,f480,f439,f257,f795,f796,f738,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f507,f567,f768,f1075,f566,f489,f351,f1112,f368,f1150,f369,f334,f366,f858,f1255,f1259,f914,f1265,f836,f1253,f1114,f1281,f1282,f1278,f776,f1287,f361,f363,f1288,f1353,f1354,f1284,f743,f744,f861,f1392,f1395,f1397,f868,f1399,f1400,f922,f1402,f1176,f1403,f1404,f364,f1406,f1190,f1408,f1409,f1410,f1411,f1412,f774,f1419,f1418,f1417,f365,f1473,f1472,f1471,f1470,f816,f1490,f374,f1496,f1398]) ).
fof(f1398,plain,
! [X0] :
( ~ open_subset(sK20(X0),X0)
| ~ nowhere_dense(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| boundary_set(sK20(X0),X0) ),
inference(resolution,[],[f868,f305]) ).
fof(f1496,plain,
! [X2,X0,X1] :
( strict_net_str(net_str_of(X0,the_carrier(X1),X2,the_mapping(X0,X1)),X0)
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(subsumption_resolution,[],[f1495,f348]) ).
fof(f1495,plain,
! [X2,X0,X1] :
( strict_net_str(net_str_of(X0,the_carrier(X1),X2,the_mapping(X0,X1)),X0)
| ~ function(the_mapping(X0,X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(subsumption_resolution,[],[f1494,f470]) ).
fof(f1494,plain,
! [X2,X0,X1] :
( ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| strict_net_str(net_str_of(X0,the_carrier(X1),X2,the_mapping(X0,X1)),X0)
| ~ function(the_mapping(X0,X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(duplicate_literal_removal,[],[f1493]) ).
fof(f1493,plain,
! [X2,X0,X1] :
( ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| strict_net_str(net_str_of(X0,the_carrier(X1),X2,the_mapping(X0,X1)),X0)
| ~ function(the_mapping(X0,X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f374,f349]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( ~ quasi_total(X3,X1,the_carrier(X0))
| ~ relation_of2(X3,X1,the_carrier(X0))
| strict_net_str(net_str_of(X0,X1,X2,X3),X0)
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1490,plain,
( finite(topstr_closure(sK16(sK31),relation_rng(the_InternalRel(sK16(sK31)))))
| ~ top_str(sK16(sK31))
| ~ finite(the_carrier(sK16(sK31)))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(superposition,[],[f816,f1288]) ).
fof(f816,plain,
! [X2,X0,X1] :
( finite(topstr_closure(X0,relation_rng_as_subset(X1,the_carrier(X0),X2)))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| ~ relation_of2(X2,X1,the_carrier(X0)) ),
inference(resolution,[],[f738,f356]) ).
fof(f1470,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ empty_carrier(subnetstr_of_element(X2,X1,X0)) ),
inference(duplicate_literal_removal,[],[f1469]) ).
fof(f1469,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ empty_carrier(subnetstr_of_element(X2,X1,X0))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ),
inference(resolution,[],[f365,f331]) ).
fof(f1471,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| transitive_relstr(subnetstr_of_element(X2,X1,X0)) ),
inference(duplicate_literal_removal,[],[f1468]) ).
fof(f1468,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| transitive_relstr(subnetstr_of_element(X2,X1,X0))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ),
inference(resolution,[],[f365,f332]) ).
fof(f1472,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| directed_relstr(subnetstr_of_element(X2,X1,X0)) ),
inference(duplicate_literal_removal,[],[f1467]) ).
fof(f1467,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| directed_relstr(subnetstr_of_element(X2,X1,X0))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ),
inference(resolution,[],[f365,f333]) ).
fof(f1473,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| net_str(subnetstr_of_element(X2,X1,X0),X2) ),
inference(duplicate_literal_removal,[],[f1466]) ).
fof(f1466,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| net_str(subnetstr_of_element(X2,X1,X0),X2)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ),
inference(resolution,[],[f365,f334]) ).
fof(f365,plain,
! [X2,X0,X1] :
( subnet(subnetstr_of_element(X0,X1,X2),X0,X1)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ( subnet(subnetstr_of_element(X0,X1,X2),X0,X1)
& strict_net_str(subnetstr_of_element(X0,X1,X2),X0) )
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ( subnet(subnetstr_of_element(X0,X1,X2),X0,X1)
& strict_net_str(subnetstr_of_element(X0,X1,X2),X0) )
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X1))
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( subnet(subnetstr_of_element(X0,X1,X2),X0,X1)
& strict_net_str(subnetstr_of_element(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel_9) ).
fof(f1417,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| relation_rng(the_mapping(X0,sK27(X0,X1))) = relation_rng_as_subset(the_carrier(sK27(X0,X1)),the_carrier(X0),the_mapping(X0,sK27(X0,X1)))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f1416]) ).
fof(f1416,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| relation_rng(the_mapping(X0,sK27(X0,X1))) = relation_rng_as_subset(the_carrier(sK27(X0,X1)),the_carrier(X0),the_mapping(X0,sK27(X0,X1)))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f774,f1190]) ).
fof(f1419,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| relation_rng(the_mapping(X0,netstr_restr_to_element(X0,X1,X2))) = relation_rng_as_subset(the_carrier(netstr_restr_to_element(X0,X1,X2)),the_carrier(X0),the_mapping(X0,netstr_restr_to_element(X0,X1,X2)))
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f1413]) ).
fof(f1413,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| relation_rng(the_mapping(X0,netstr_restr_to_element(X0,X1,X2))) = relation_rng_as_subset(the_carrier(netstr_restr_to_element(X0,X1,X2)),the_carrier(X0),the_mapping(X0,netstr_restr_to_element(X0,X1,X2)))
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f774,f369]) ).
fof(f774,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| relation_rng(the_mapping(X0,X1)) = relation_rng_as_subset(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1)) ),
inference(resolution,[],[f470,f355]) ).
fof(f1412,plain,
! [X0,X1] :
( ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| sK16(sK27(X1,X0)) = net_str_of(sK27(X1,X0),the_carrier(sK16(sK27(X1,X0))),the_InternalRel(sK16(sK27(X1,X0))),the_mapping(sK27(X1,X0),sK16(sK27(X1,X0)))) ),
inference(resolution,[],[f1410,f1114]) ).
fof(f1411,plain,
! [X0,X1] :
( ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| relation_rng_as_subset(the_carrier(sK16(sK27(X1,X0))),the_carrier(sK16(sK27(X1,X0))),the_InternalRel(sK16(sK27(X1,X0)))) = relation_rng(the_InternalRel(sK16(sK27(X1,X0)))) ),
inference(resolution,[],[f1410,f776]) ).
fof(f1410,plain,
! [X0,X1] :
( one_sorted_str(sK27(X1,X0))
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ net_str(X0,X1)
| ~ directed_relstr(X0) ),
inference(resolution,[],[f1408,f269]) ).
fof(f1409,plain,
! [X0,X1] :
( ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ net_str(X0,X1)
| relation_rng_as_subset(the_carrier(sK27(X1,X0)),the_carrier(sK27(X1,X0)),the_InternalRel(sK27(X1,X0))) = relation_rng(the_InternalRel(sK27(X1,X0))) ),
inference(resolution,[],[f1408,f439]) ).
fof(f1408,plain,
! [X0,X1] :
( rel_str(sK27(X1,X0))
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ net_str(X0,X1) ),
inference(duplicate_literal_removal,[],[f1407]) ).
fof(f1407,plain,
! [X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| rel_str(sK27(X1,X0))
| ~ one_sorted_str(X1) ),
inference(resolution,[],[f1190,f276]) ).
fof(f1190,plain,
! [X0,X1] :
( net_str(sK27(X0,X1),X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f1189,f340]) ).
fof(f1189,plain,
! [X0,X1] :
( net_str(sK27(X0,X1),X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ sP2(X0,X1) ),
inference(resolution,[],[f334,f335]) ).
fof(f1406,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| subnetstr_of_element(X2,X1,X0) = net_str_of(X2,the_carrier(subnetstr_of_element(X2,X1,X0)),the_InternalRel(subnetstr_of_element(X2,X1,X0)),the_mapping(X2,subnetstr_of_element(X2,X1,X0)))
| ~ net_str(subnetstr_of_element(X2,X1,X0),X2) ),
inference(duplicate_literal_removal,[],[f1405]) ).
fof(f1405,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| subnetstr_of_element(X2,X1,X0) = net_str_of(X2,the_carrier(subnetstr_of_element(X2,X1,X0)),the_InternalRel(subnetstr_of_element(X2,X1,X0)),the_mapping(X2,subnetstr_of_element(X2,X1,X0)))
| ~ net_str(subnetstr_of_element(X2,X1,X0),X2)
| ~ one_sorted_str(X2) ),
inference(resolution,[],[f364,f351]) ).
fof(f364,plain,
! [X2,X0,X1] :
( strict_net_str(subnetstr_of_element(X0,X1,X2),X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f1403,plain,
! [X2,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X0))
| relation_rng_as_subset(the_carrier(netstr_restr_to_element(X1,X0,X2)),the_carrier(netstr_restr_to_element(X1,X0,X2)),the_InternalRel(netstr_restr_to_element(X1,X0,X2))) = relation_rng(the_InternalRel(netstr_restr_to_element(X1,X0,X2))) ),
inference(resolution,[],[f1176,f439]) ).
fof(f1176,plain,
! [X2,X0,X1] :
( rel_str(netstr_restr_to_element(X2,X1,X0))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X0,the_carrier(X1)) ),
inference(duplicate_literal_removal,[],[f1175]) ).
fof(f1175,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| rel_str(netstr_restr_to_element(X2,X1,X0))
| ~ one_sorted_str(X2) ),
inference(resolution,[],[f369,f276]) ).
fof(f1402,plain,
! [X0] :
( ~ closed_subset(sK20(X0),X0)
| ~ boundary_set(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ open_subset(sK20(X0),X0)
| empty(sK20(X0)) ),
inference(duplicate_literal_removal,[],[f1401]) ).
fof(f1401,plain,
! [X0] :
( ~ closed_subset(sK20(X0),X0)
| ~ boundary_set(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ open_subset(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(sK20(X0)) ),
inference(resolution,[],[f922,f1400]) ).
fof(f922,plain,
! [X0] :
( nowhere_dense(sK20(X0),X0)
| ~ closed_subset(sK20(X0),X0)
| ~ boundary_set(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f906,f271]) ).
fof(f906,plain,
! [X0] :
( ~ boundary_set(sK20(X0),X0)
| ~ closed_subset(sK20(X0),X0)
| nowhere_dense(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f309,f296]) ).
fof(f1400,plain,
! [X0] :
( ~ nowhere_dense(sK20(X0),X0)
| ~ open_subset(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(sK20(X0)) ),
inference(resolution,[],[f868,f302]) ).
fof(f1399,plain,
! [X0] :
( ~ open_subset(sK20(X0),X0)
| ~ nowhere_dense(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| closed_subset(sK20(X0),X0) ),
inference(resolution,[],[f868,f304]) ).
fof(f868,plain,
! [X0] :
( sP0(X0,sK20(X0))
| ~ open_subset(sK20(X0),X0)
| ~ nowhere_dense(sK20(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f852,f271]) ).
fof(f852,plain,
! [X0] :
( ~ nowhere_dense(sK20(X0),X0)
| ~ open_subset(sK20(X0),X0)
| sP0(X0,sK20(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f307,f296]) ).
fof(f1397,plain,
! [X0] :
( ~ open_subset(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ boundary_set(sK19(X0),X0) ),
inference(duplicate_literal_removal,[],[f1396]) ).
fof(f1396,plain,
! [X0] :
( ~ open_subset(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ boundary_set(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f1395,f921]) ).
fof(f1395,plain,
! [X0] :
( ~ nowhere_dense(sK19(X0),X0)
| ~ open_subset(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f1394,f293]) ).
fof(f1394,plain,
! [X0] :
( ~ open_subset(sK19(X0),X0)
| ~ nowhere_dense(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(sK19(X0)) ),
inference(resolution,[],[f861,f302]) ).
fof(f1392,plain,
! [X0] :
( ~ open_subset(sK19(X0),X0)
| ~ nowhere_dense(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| boundary_set(sK19(X0),X0) ),
inference(resolution,[],[f861,f305]) ).
fof(f861,plain,
! [X0] :
( sP0(X0,sK19(X0))
| ~ open_subset(sK19(X0),X0)
| ~ nowhere_dense(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f851]) ).
fof(f851,plain,
! [X0] :
( ~ nowhere_dense(sK19(X0),X0)
| ~ open_subset(sK19(X0),X0)
| sP0(X0,sK19(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f307,f292]) ).
fof(f744,plain,
! [X0,X1] :
( open_subset(topstr_closure(X1,X0),X1)
| ~ top_str(X1)
| ~ empty(topstr_closure(X1,X0))
| ~ element(X0,powerset(the_carrier(X1)))
| ~ topological_space(X1) ),
inference(duplicate_literal_removal,[],[f735]) ).
fof(f735,plain,
! [X0,X1] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ empty(topstr_closure(X1,X0))
| open_subset(topstr_closure(X1,X0),X1)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(resolution,[],[f347,f299]) ).
fof(f743,plain,
! [X0,X1] :
( nowhere_dense(topstr_closure(X1,X0),X1)
| ~ top_str(X1)
| ~ empty(topstr_closure(X1,X0))
| ~ element(X0,powerset(the_carrier(X1)))
| ~ topological_space(X1) ),
inference(duplicate_literal_removal,[],[f736]) ).
fof(f736,plain,
! [X0,X1] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ empty(topstr_closure(X1,X0))
| nowhere_dense(topstr_closure(X1,X0),X1)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(resolution,[],[f347,f298]) ).
fof(f1284,plain,
! [X0] :
( ~ top_str(X0)
| relation_rng_as_subset(the_carrier(sK16(X0)),the_carrier(sK16(X0)),the_InternalRel(sK16(X0))) = relation_rng(the_InternalRel(sK16(X0))) ),
inference(resolution,[],[f776,f271]) ).
fof(f1354,plain,
( element(relation_rng(the_InternalRel(sK16(sK31))),powerset(the_carrier(sK16(sK31))))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(superposition,[],[f356,f1288]) ).
fof(f1353,plain,
( finite(relation_rng(the_InternalRel(sK16(sK31))))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31)))
| ~ finite(the_carrier(sK16(sK31))) ),
inference(superposition,[],[f441,f1288]) ).
fof(f1288,plain,
relation_rng_as_subset(the_carrier(sK16(sK31)),the_carrier(sK16(sK31)),the_InternalRel(sK16(sK31))) = relation_rng(the_InternalRel(sK16(sK31))),
inference(resolution,[],[f776,f384]) ).
fof(f363,plain,
! [X2,X0,X1] :
( directed_relstr(netstr_restr_to_element(X0,X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ( directed_relstr(netstr_restr_to_element(X0,X1,X2))
& strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
& transitive_relstr(netstr_restr_to_element(X0,X1,X2))
& ~ empty_carrier(netstr_restr_to_element(X0,X1,X2)) )
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ( directed_relstr(netstr_restr_to_element(X0,X1,X2))
& strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
& transitive_relstr(netstr_restr_to_element(X0,X1,X2))
& ~ empty_carrier(netstr_restr_to_element(X0,X1,X2)) )
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X1))
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( directed_relstr(netstr_restr_to_element(X0,X1,X2))
& strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
& transitive_relstr(netstr_restr_to_element(X0,X1,X2))
& ~ empty_carrier(netstr_restr_to_element(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc26_waybel_9) ).
fof(f361,plain,
! [X2,X0,X1] :
( transitive_relstr(netstr_restr_to_element(X0,X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f1287,plain,
! [X0] :
( relation_rng_as_subset(the_carrier(sK16(sK16(X0))),the_carrier(sK16(sK16(X0))),the_InternalRel(sK16(sK16(X0)))) = relation_rng(the_InternalRel(sK16(sK16(X0))))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f776,f417]) ).
fof(f776,plain,
! [X0] :
( ~ one_sorted_str(X0)
| relation_rng_as_subset(the_carrier(sK16(X0)),the_carrier(sK16(X0)),the_InternalRel(sK16(X0))) = relation_rng(the_InternalRel(sK16(X0))) ),
inference(resolution,[],[f439,f403]) ).
fof(f1278,plain,
! [X0] :
( ~ top_str(X0)
| sK16(X0) = net_str_of(X0,the_carrier(sK16(X0)),the_InternalRel(sK16(X0)),the_mapping(X0,sK16(X0))) ),
inference(resolution,[],[f1114,f271]) ).
fof(f1282,plain,
sK16(sK31) = net_str_of(sK31,the_carrier(sK16(sK31)),the_InternalRel(sK16(sK31)),the_mapping(sK31,sK16(sK31))),
inference(resolution,[],[f1114,f384]) ).
fof(f1281,plain,
! [X0] :
( sK16(sK16(X0)) = net_str_of(sK16(X0),the_carrier(sK16(sK16(X0))),the_InternalRel(sK16(sK16(X0))),the_mapping(sK16(X0),sK16(sK16(X0))))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f1114,f417]) ).
fof(f1114,plain,
! [X0] :
( ~ one_sorted_str(X0)
| sK16(X0) = net_str_of(X0,the_carrier(sK16(X0)),the_InternalRel(sK16(X0)),the_mapping(X0,sK16(X0))) ),
inference(subsumption_resolution,[],[f1113,f277]) ).
fof(f1113,plain,
! [X0] :
( sK16(X0) = net_str_of(X0,the_carrier(sK16(X0)),the_InternalRel(sK16(X0)),the_mapping(X0,sK16(X0)))
| ~ net_str(sK16(X0),X0)
| ~ one_sorted_str(X0) ),
inference(duplicate_literal_removal,[],[f1111]) ).
fof(f1111,plain,
! [X0] :
( sK16(X0) = net_str_of(X0,the_carrier(sK16(X0)),the_InternalRel(sK16(X0)),the_mapping(X0,sK16(X0)))
| ~ net_str(sK16(X0),X0)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f351,f278]) ).
fof(f1253,plain,
! [X0] :
( ~ nowhere_dense(sK24(X0),X0)
| ~ open_subset(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| boundary_set(sK24(X0),X0) ),
inference(resolution,[],[f858,f305]) ).
fof(f836,plain,
! [X0,X1] :
( finite(topstr_closure(X0,topstr_closure(X0,X1)))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(duplicate_literal_removal,[],[f815]) ).
fof(f815,plain,
! [X0,X1] :
( ~ top_str(X0)
| finite(topstr_closure(X0,topstr_closure(X0,X1)))
| ~ finite(the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(resolution,[],[f738,f347]) ).
fof(f1265,plain,
! [X0] :
( ~ closed_subset(sK22(X0),X0)
| ~ boundary_set(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(sK22(X0)) ),
inference(duplicate_literal_removal,[],[f1264]) ).
fof(f1264,plain,
! [X0] :
( ~ closed_subset(sK22(X0),X0)
| ~ boundary_set(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(sK22(X0)) ),
inference(resolution,[],[f914,f887]) ).
fof(f914,plain,
! [X0] :
( nowhere_dense(sK22(X0),X0)
| ~ closed_subset(sK22(X0),X0)
| ~ boundary_set(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f908]) ).
fof(f908,plain,
! [X0] :
( ~ boundary_set(sK22(X0),X0)
| ~ closed_subset(sK22(X0),X0)
| nowhere_dense(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f309,f317]) ).
fof(f1259,plain,
! [X0] :
( ~ open_subset(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(sK24(X0))
| ~ boundary_set(sK24(X0),X0) ),
inference(duplicate_literal_removal,[],[f1256]) ).
fof(f1256,plain,
! [X0] :
( ~ open_subset(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(sK24(X0))
| ~ boundary_set(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f1255,f924]) ).
fof(f1255,plain,
! [X0] :
( ~ nowhere_dense(sK24(X0),X0)
| ~ open_subset(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(sK24(X0)) ),
inference(resolution,[],[f858,f302]) ).
fof(f858,plain,
! [X0] :
( sP0(X0,sK24(X0))
| ~ open_subset(sK24(X0),X0)
| ~ nowhere_dense(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f856]) ).
fof(f856,plain,
! [X0] :
( ~ nowhere_dense(sK24(X0),X0)
| ~ open_subset(sK24(X0),X0)
| sP0(X0,sK24(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f307,f322]) ).
fof(f366,plain,
! [X2,X0,X1] :
( ~ empty_carrier(netstr_restr_to_element(X0,X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
& ~ empty_carrier(netstr_restr_to_element(X0,X1,X2)) )
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
& ~ empty_carrier(netstr_restr_to_element(X0,X1,X2)) )
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X1))
& net_str(X1,X0)
& directed_relstr(X1)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
& ~ empty_carrier(netstr_restr_to_element(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc22_waybel_9) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ subnet(X2,X0,X1)
| net_str(X2,X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ! [X2] :
( ( net_str(X2,X0)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2) )
| ~ subnet(X2,X0,X1) )
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ! [X2] :
( ( net_str(X2,X0)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2) )
| ~ subnet(X2,X0,X1) )
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X2] :
( subnet(X2,X0,X1)
=> ( net_str(X2,X0)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_yellow_6) ).
fof(f369,plain,
! [X2,X0,X1] :
( net_str(netstr_restr_to_element(X0,X1,X2),X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ( net_str(netstr_restr_to_element(X0,X1,X2),X0)
& strict_net_str(netstr_restr_to_element(X0,X1,X2),X0) )
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ( net_str(netstr_restr_to_element(X0,X1,X2),X0)
& strict_net_str(netstr_restr_to_element(X0,X1,X2),X0) )
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X1))
& net_str(X1,X0)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( net_str(netstr_restr_to_element(X0,X1,X2),X0)
& strict_net_str(netstr_restr_to_element(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel_9) ).
fof(f1150,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| netstr_restr_to_element(X2,X1,X0) = net_str_of(X2,the_carrier(netstr_restr_to_element(X2,X1,X0)),the_InternalRel(netstr_restr_to_element(X2,X1,X0)),the_mapping(X2,netstr_restr_to_element(X2,X1,X0)))
| ~ net_str(netstr_restr_to_element(X2,X1,X0),X2) ),
inference(duplicate_literal_removal,[],[f1149]) ).
fof(f1149,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| netstr_restr_to_element(X2,X1,X0) = net_str_of(X2,the_carrier(netstr_restr_to_element(X2,X1,X0)),the_InternalRel(netstr_restr_to_element(X2,X1,X0)),the_mapping(X2,netstr_restr_to_element(X2,X1,X0)))
| ~ net_str(netstr_restr_to_element(X2,X1,X0),X2)
| ~ one_sorted_str(X2) ),
inference(resolution,[],[f368,f351]) ).
fof(f368,plain,
! [X2,X0,X1] :
( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f1112,plain,
! [X0,X1] :
( sK27(X0,X1) = net_str_of(X0,the_carrier(sK27(X0,X1)),the_InternalRel(sK27(X0,X1)),the_mapping(X0,sK27(X0,X1)))
| ~ net_str(sK27(X0,X1),X0)
| ~ one_sorted_str(X0)
| ~ sP2(X0,X1) ),
inference(resolution,[],[f351,f338]) ).
fof(f351,plain,
! [X0,X1] :
( ~ strict_net_str(X1,X0)
| net_str_of(X0,the_carrier(X1),the_InternalRel(X1),the_mapping(X0,X1)) = X1
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( net_str_of(X0,the_carrier(X1),the_InternalRel(X1),the_mapping(X0,X1)) = X1
| ~ strict_net_str(X1,X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( net_str_of(X0,the_carrier(X1),the_InternalRel(X1),the_mapping(X0,X1)) = X1
| ~ strict_net_str(X1,X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& one_sorted_str(X0) )
=> ( strict_net_str(X1,X0)
=> net_str_of(X0,the_carrier(X1),the_InternalRel(X1),the_mapping(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v6_waybel_0) ).
fof(f489,plain,
( sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6)))
| sK28(sK7,sK6) = sK9(sK28(sK7,sK6)) ),
inference(subsumption_resolution,[],[f485,f259]) ).
fof(f485,plain,
( sK6 = sK7
| sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6)))
| sK28(sK7,sK6) = sK9(sK28(sK7,sK6)) ),
inference(resolution,[],[f471,f256]) ).
fof(f566,plain,
( sK28(sK7,sK6) = sK9(sK28(sK7,sK6))
| sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6))) ),
inference(subsumption_resolution,[],[f559,f259]) ).
fof(f559,plain,
( sK6 = sK7
| sK28(sK7,sK6) = sK9(sK28(sK7,sK6))
| sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6))) ),
inference(resolution,[],[f479,f248]) ).
fof(f1075,plain,
( sK8(sK28(sK7,sK6)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(sK28(sK7,sK6)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(sK28(sK7,sK6)))))
| sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6))) ),
inference(subsumption_resolution,[],[f798,f259]) ).
fof(f798,plain,
( sK8(sK28(sK7,sK6)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(sK28(sK7,sK6)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(sK28(sK7,sK6)))))
| sK6 = sK7
| sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6))) ),
inference(resolution,[],[f257,f471]) ).
fof(f768,plain,
( sK10(sK28(sK7,sK6)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(sK28(sK7,sK6)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(sK28(sK7,sK6)))))
| sK28(sK7,sK6) = sK9(sK28(sK7,sK6)) ),
inference(subsumption_resolution,[],[f762,f259]) ).
fof(f762,plain,
( sK10(sK28(sK7,sK6)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(sK28(sK7,sK6)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(sK28(sK7,sK6)))))
| sK6 = sK7
| sK28(sK7,sK6) = sK9(sK28(sK7,sK6)) ),
inference(resolution,[],[f250,f479]) ).
fof(f567,plain,
( sK28(sK7,sK6) = sK9(sK28(sK7,sK6))
| sK28(sK7,sK6) = sK11(sK28(sK7,sK6)) ),
inference(subsumption_resolution,[],[f560,f259]) ).
fof(f560,plain,
( sK6 = sK7
| sK28(sK7,sK6) = sK9(sK28(sK7,sK6))
| sK28(sK7,sK6) = sK11(sK28(sK7,sK6)) ),
inference(resolution,[],[f479,f249]) ).
fof(f507,plain,
( sK28(sK7,sK6) = sK11(sK28(sK7,sK6))
| sK28(sK7,sK6) = sK9(sK28(sK7,sK6)) ),
inference(subsumption_resolution,[],[f502,f259]) ).
fof(f502,plain,
( sK6 = sK7
| sK28(sK7,sK6) = sK11(sK28(sK7,sK6))
| sK28(sK7,sK6) = sK9(sK28(sK7,sK6)) ),
inference(resolution,[],[f472,f256]) ).
fof(f333,plain,
! [X2,X0,X1] :
( ~ subnet(X2,X0,X1)
| directed_relstr(X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f332,plain,
! [X2,X0,X1] :
( ~ subnet(X2,X0,X1)
| transitive_relstr(X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f331,plain,
! [X2,X0,X1] :
( ~ subnet(X2,X0,X1)
| ~ empty_carrier(X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f526,plain,
( sK28(sK6,sK7) = sK9(sK28(sK6,sK7))
| sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7))) ),
inference(subsumption_resolution,[],[f519,f259]) ).
fof(f519,plain,
( sK6 = sK7
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7))
| sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7))) ),
inference(resolution,[],[f474,f248]) ).
fof(f537,plain,
( sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7)))
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7)) ),
inference(subsumption_resolution,[],[f532,f259]) ).
fof(f532,plain,
( sK6 = sK7
| sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7)))
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7)) ),
inference(resolution,[],[f476,f256]) ).
fof(f980,plain,
( sK8(sK28(sK6,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(sK28(sK6,sK7)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(sK28(sK6,sK7)))))
| sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7))) ),
inference(subsumption_resolution,[],[f802,f259]) ).
fof(f802,plain,
( sK8(sK28(sK6,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(sK28(sK6,sK7)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(sK28(sK6,sK7)))))
| sK6 = sK7
| sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7))) ),
inference(resolution,[],[f257,f476]) ).
fof(f506,plain,
( sK28(sK7,sK6) = sK11(sK28(sK7,sK6))
| sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6))) ),
inference(subsumption_resolution,[],[f501,f259]) ).
fof(f501,plain,
( sK6 = sK7
| sK28(sK7,sK6) = sK11(sK28(sK7,sK6))
| sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6))) ),
inference(resolution,[],[f472,f255]) ).
fof(f557,plain,
( sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6)))
| sK28(sK7,sK6) = sK11(sK28(sK7,sK6)) ),
inference(subsumption_resolution,[],[f550,f259]) ).
fof(f550,plain,
( sK6 = sK7
| sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6)))
| sK28(sK7,sK6) = sK11(sK28(sK7,sK6)) ),
inference(resolution,[],[f478,f249]) ).
fof(f771,plain,
( sK10(sK28(sK7,sK6)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(sK28(sK7,sK6)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(sK28(sK7,sK6)))))
| sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6))) ),
inference(subsumption_resolution,[],[f763,f259]) ).
fof(f763,plain,
( sK10(sK28(sK7,sK6)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(sK28(sK7,sK6)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(sK28(sK7,sK6)))))
| sK6 = sK7
| sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6))) ),
inference(resolution,[],[f250,f478]) ).
fof(f976,plain,
( sK8(sK28(sK7,sK6)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(sK28(sK7,sK6)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(sK28(sK7,sK6)))))
| sK28(sK7,sK6) = sK11(sK28(sK7,sK6)) ),
inference(subsumption_resolution,[],[f797,f259]) ).
fof(f797,plain,
( sK8(sK28(sK7,sK6)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(sK28(sK7,sK6)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(sK28(sK7,sK6)))))
| sK6 = sK7
| sK28(sK7,sK6) = sK11(sK28(sK7,sK6)) ),
inference(resolution,[],[f257,f472]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ netstr_induced_subset(X2,X0,X1)
| element(X2,powerset(the_carrier(X0)))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,powerset(the_carrier(X0)))
| ~ netstr_induced_subset(X2,X0,X1) )
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,powerset(the_carrier(X0)))
| ~ netstr_induced_subset(X2,X0,X1) )
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X2] :
( netstr_induced_subset(X2,X0,X1)
=> element(X2,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow19) ).
fof(f921,plain,
! [X0] :
( nowhere_dense(sK19(X0),X0)
| ~ boundary_set(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f915,f294]) ).
fof(f915,plain,
! [X0] :
( ~ boundary_set(sK19(X0),X0)
| ~ closed_subset(sK19(X0),X0)
| nowhere_dense(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f905]) ).
fof(f905,plain,
! [X0] :
( ~ boundary_set(sK19(X0),X0)
| ~ closed_subset(sK19(X0),X0)
| nowhere_dense(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f309,f292]) ).
fof(f939,plain,
! [X0] :
( ~ boundary_set(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f920,f938]) ).
fof(f938,plain,
! [X0] :
( ~ nowhere_dense(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f937,f289]) ).
fof(f937,plain,
! [X0] :
( ~ nowhere_dense(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty(sK18(X0)) ),
inference(resolution,[],[f867,f302]) ).
fof(f935,plain,
! [X0] :
( ~ nowhere_dense(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| boundary_set(sK18(X0),X0) ),
inference(resolution,[],[f867,f305]) ).
fof(f867,plain,
! [X0] :
( sP0(X0,sK18(X0))
| ~ nowhere_dense(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f862,f290]) ).
fof(f862,plain,
! [X0] :
( ~ nowhere_dense(sK18(X0),X0)
| ~ open_subset(sK18(X0),X0)
| sP0(X0,sK18(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f850]) ).
fof(f850,plain,
! [X0] :
( ~ nowhere_dense(sK18(X0),X0)
| ~ open_subset(sK18(X0),X0)
| sP0(X0,sK18(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f307,f288]) ).
fof(f890,plain,
! [X0] :
( ~ nowhere_dense(sK23(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| boundary_set(sK23(X0),X0) ),
inference(resolution,[],[f873,f305]) ).
fof(f886,plain,
! [X0] :
( ~ nowhere_dense(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| closed_subset(sK22(X0),X0) ),
inference(resolution,[],[f872,f304]) ).
fof(f924,plain,
! [X0] :
( nowhere_dense(sK24(X0),X0)
| ~ boundary_set(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f912,f323]) ).
fof(f912,plain,
! [X0] :
( ~ boundary_set(sK24(X0),X0)
| ~ closed_subset(sK24(X0),X0)
| nowhere_dense(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f910]) ).
fof(f910,plain,
! [X0] :
( ~ boundary_set(sK24(X0),X0)
| ~ closed_subset(sK24(X0),X0)
| nowhere_dense(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f309,f322]) ).
fof(f926,plain,
! [X0] :
( ~ boundary_set(sK23(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(sK23(X0)) ),
inference(duplicate_literal_removal,[],[f925]) ).
fof(f925,plain,
! [X0] :
( ~ boundary_set(sK23(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(sK23(X0)) ),
inference(resolution,[],[f923,f892]) ).
fof(f923,plain,
! [X0] :
( nowhere_dense(sK23(X0),X0)
| ~ boundary_set(sK23(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f913,f321]) ).
fof(f913,plain,
! [X0] :
( ~ boundary_set(sK23(X0),X0)
| ~ closed_subset(sK23(X0),X0)
| nowhere_dense(sK23(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f909]) ).
fof(f909,plain,
! [X0] :
( ~ boundary_set(sK23(X0),X0)
| ~ closed_subset(sK23(X0),X0)
| nowhere_dense(sK23(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f309,f319]) ).
fof(f920,plain,
! [X0] :
( ~ boundary_set(sK18(X0),X0)
| nowhere_dense(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f916,f291]) ).
fof(f916,plain,
! [X0] :
( ~ boundary_set(sK18(X0),X0)
| ~ closed_subset(sK18(X0),X0)
| nowhere_dense(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f904]) ).
fof(f904,plain,
! [X0] :
( ~ boundary_set(sK18(X0),X0)
| ~ closed_subset(sK18(X0),X0)
| nowhere_dense(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f309,f288]) ).
fof(f902,plain,
! [X0] :
( ~ boundary_set(sK14(the_carrier(X0)),X0)
| ~ closed_subset(sK14(the_carrier(X0)),X0)
| nowhere_dense(sK14(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f309,f266]) ).
fof(f901,plain,
! [X0] :
( ~ boundary_set(sK13(the_carrier(X0)),X0)
| ~ closed_subset(sK13(the_carrier(X0)),X0)
| nowhere_dense(sK13(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f309,f263]) ).
fof(f900,plain,
! [X0] :
( nowhere_dense(sK12(the_carrier(X0)),X0)
| ~ closed_subset(sK12(the_carrier(X0)),X0)
| ~ boundary_set(sK12(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f309,f261]) ).
fof(f898,plain,
! [X2,X0,X1] :
( ~ boundary_set(relation_rng_as_subset(X0,the_carrier(X1),X2),X1)
| ~ closed_subset(relation_rng_as_subset(X0,the_carrier(X1),X2),X1)
| nowhere_dense(relation_rng_as_subset(X0,the_carrier(X1),X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ relation_of2(X2,X0,the_carrier(X1)) ),
inference(resolution,[],[f309,f356]) ).
fof(f919,plain,
! [X0,X1] :
( nowhere_dense(topstr_closure(X0,X1),X0)
| ~ boundary_set(topstr_closure(X0,X1),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f918,f346]) ).
fof(f918,plain,
! [X0,X1] :
( ~ boundary_set(topstr_closure(X0,X1),X0)
| ~ closed_subset(topstr_closure(X0,X1),X0)
| nowhere_dense(topstr_closure(X0,X1),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(duplicate_literal_removal,[],[f897]) ).
fof(f897,plain,
! [X0,X1] :
( ~ boundary_set(topstr_closure(X0,X1),X0)
| ~ closed_subset(topstr_closure(X0,X1),X0)
| nowhere_dense(topstr_closure(X0,X1),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(resolution,[],[f309,f347]) ).
fof(f309,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ boundary_set(X1,X0)
| ~ closed_subset(X1,X0)
| nowhere_dense(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0) )
| ~ boundary_set(X1,X0)
| ~ closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0) )
| ~ boundary_set(X1,X0)
| ~ closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( boundary_set(X1,X0)
& closed_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_tops_1) ).
fof(f885,plain,
! [X0] :
( ~ nowhere_dense(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| boundary_set(sK22(X0),X0) ),
inference(resolution,[],[f872,f305]) ).
fof(f892,plain,
! [X0] :
( ~ nowhere_dense(sK23(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(sK23(X0)) ),
inference(resolution,[],[f873,f302]) ).
fof(f873,plain,
! [X0] :
( sP0(X0,sK23(X0))
| ~ nowhere_dense(sK23(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f859,f320]) ).
fof(f859,plain,
! [X0] :
( ~ nowhere_dense(sK23(X0),X0)
| ~ open_subset(sK23(X0),X0)
| sP0(X0,sK23(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f855]) ).
fof(f855,plain,
! [X0] :
( ~ nowhere_dense(sK23(X0),X0)
| ~ open_subset(sK23(X0),X0)
| sP0(X0,sK23(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f307,f319]) ).
fof(f887,plain,
! [X0] :
( ~ nowhere_dense(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(sK22(X0)) ),
inference(resolution,[],[f872,f302]) ).
fof(f872,plain,
! [X0] :
( sP0(X0,sK22(X0))
| ~ nowhere_dense(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f860,f318]) ).
fof(f860,plain,
! [X0] :
( ~ nowhere_dense(sK22(X0),X0)
| ~ open_subset(sK22(X0),X0)
| sP0(X0,sK22(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f854]) ).
fof(f854,plain,
! [X0] :
( ~ nowhere_dense(sK22(X0),X0)
| ~ open_subset(sK22(X0),X0)
| sP0(X0,sK22(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f307,f317]) ).
fof(f875,plain,
! [X0] :
( sP0(X0,sK25(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f874,f624]) ).
fof(f874,plain,
! [X0] :
( ~ open_subset(sK25(the_carrier(X0)),X0)
| sP0(X0,sK25(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f857,f601]) ).
fof(f857,plain,
! [X0] :
( ~ nowhere_dense(sK25(the_carrier(X0)),X0)
| ~ open_subset(sK25(the_carrier(X0)),X0)
| sP0(X0,sK25(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f307,f324]) ).
fof(f880,plain,
! [X0] :
( closed_subset(sK21(X0),X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f871,f304]) ).
fof(f879,plain,
! [X0] :
( boundary_set(sK21(X0),X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f871,f305]) ).
fof(f881,plain,
! [X0] :
( empty(sK21(X0))
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f871,f302]) ).
fof(f871,plain,
! [X0] :
( sP0(X0,sK21(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f870,f316]) ).
fof(f870,plain,
! [X0] :
( sP0(X0,sK21(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f869,f312]) ).
fof(f869,plain,
! [X0] :
( ~ open_subset(sK21(X0),X0)
| sP0(X0,sK21(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f853,f315]) ).
fof(f853,plain,
! [X0] :
( ~ nowhere_dense(sK21(X0),X0)
| ~ open_subset(sK21(X0),X0)
| sP0(X0,sK21(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f307,f310]) ).
fof(f866,plain,
! [X0] :
( sP0(X0,sK15(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f865,f623]) ).
fof(f865,plain,
! [X0] :
( ~ open_subset(sK15(X0),X0)
| sP0(X0,sK15(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f863,f600]) ).
fof(f863,plain,
! [X0] :
( ~ nowhere_dense(sK15(X0),X0)
| ~ open_subset(sK15(X0),X0)
| sP0(X0,sK15(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f849]) ).
fof(f849,plain,
! [X0] :
( ~ nowhere_dense(sK15(X0),X0)
| ~ open_subset(sK15(X0),X0)
| sP0(X0,sK15(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f307,f273]) ).
fof(f848,plain,
! [X0] :
( sP0(X0,sK14(the_carrier(X0)))
| ~ open_subset(sK14(the_carrier(X0)),X0)
| ~ nowhere_dense(sK14(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f307,f266]) ).
fof(f847,plain,
! [X0] :
( sP0(X0,sK13(the_carrier(X0)))
| ~ open_subset(sK13(the_carrier(X0)),X0)
| ~ nowhere_dense(sK13(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f307,f263]) ).
fof(f846,plain,
! [X0] :
( sP0(X0,sK12(the_carrier(X0)))
| ~ open_subset(sK12(the_carrier(X0)),X0)
| ~ nowhere_dense(sK12(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f307,f261]) ).
fof(f844,plain,
! [X2,X0,X1] :
( ~ nowhere_dense(relation_rng_as_subset(X0,the_carrier(X1),X2),X1)
| ~ open_subset(relation_rng_as_subset(X0,the_carrier(X1),X2),X1)
| sP0(X1,relation_rng_as_subset(X0,the_carrier(X1),X2))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ relation_of2(X2,X0,the_carrier(X1)) ),
inference(resolution,[],[f307,f356]) ).
fof(f864,plain,
! [X0,X1] :
( ~ nowhere_dense(topstr_closure(X0,X1),X0)
| ~ open_subset(topstr_closure(X0,X1),X0)
| sP0(X0,topstr_closure(X0,X1))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(duplicate_literal_removal,[],[f843]) ).
fof(f843,plain,
! [X0,X1] :
( ~ nowhere_dense(topstr_closure(X0,X1),X0)
| ~ open_subset(topstr_closure(X0,X1),X0)
| sP0(X0,topstr_closure(X0,X1))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(resolution,[],[f307,f347]) ).
fof(f307,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ nowhere_dense(X1,X0)
| ~ open_subset(X1,X0)
| sP0(X0,X1)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( sP0(X0,X1)
| ~ nowhere_dense(X1,X0)
| ~ open_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(definition_folding,[],[f122,f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) )
| ~ nowhere_dense(X1,X0)
| ~ open_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) )
| ~ nowhere_dense(X1,X0)
| ~ open_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
inference(pure_predicate_removal,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
inference(pure_predicate_removal,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
inference(pure_predicate_removal,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
inference(pure_predicate_removal,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
inference(pure_predicate_removal,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( nowhere_dense(X1,X0)
& open_subset(X1,X0) )
=> ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_tops_1) ).
fof(f742,plain,
! [X0,X1] :
( boundary_set(topstr_closure(X1,X0),X1)
| ~ top_str(X1)
| ~ empty(topstr_closure(X1,X0))
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(duplicate_literal_removal,[],[f737]) ).
fof(f737,plain,
! [X0,X1] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ empty(topstr_closure(X1,X0))
| boundary_set(topstr_closure(X1,X0),X1)
| ~ top_str(X1) ),
inference(resolution,[],[f347,f272]) ).
fof(f839,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(the_carrier(X1),the_carrier(X0)))
| finite(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f468,f284]) ).
fof(f838,plain,
! [X0,X1] :
( finite(the_mapping(X0,X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ finite(the_carrier(X0))
| ~ finite(the_carrier(X1)) ),
inference(resolution,[],[f468,f352]) ).
fof(f468,plain,
! [X0,X1] :
( ~ finite(cartesian_product2(the_carrier(X0),the_carrier(X1)))
| ~ one_sorted_str(X1)
| finite(the_mapping(X1,X0))
| ~ net_str(X0,X1) ),
inference(resolution,[],[f350,f437]) ).
fof(f834,plain,
! [X0] :
( finite(topstr_closure(X0,sK18(X0)))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f822]) ).
fof(f822,plain,
! [X0] :
( ~ top_str(X0)
| finite(topstr_closure(X0,sK18(X0)))
| ~ finite(the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f738,f288]) ).
fof(f833,plain,
! [X0] :
( finite(topstr_closure(X0,sK19(X0)))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f823]) ).
fof(f823,plain,
! [X0] :
( ~ top_str(X0)
| finite(topstr_closure(X0,sK19(X0)))
| ~ finite(the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f738,f292]) ).
fof(f820,plain,
! [X0] :
( finite(topstr_closure(X0,sK14(the_carrier(X0))))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| empty(the_carrier(X0)) ),
inference(resolution,[],[f738,f266]) ).
fof(f819,plain,
! [X0] :
( finite(topstr_closure(X0,sK13(the_carrier(X0))))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| empty(the_carrier(X0)) ),
inference(resolution,[],[f738,f263]) ).
fof(f818,plain,
! [X0] :
( finite(topstr_closure(X0,sK12(the_carrier(X0))))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| empty(the_carrier(X0)) ),
inference(resolution,[],[f738,f261]) ).
fof(f837,plain,
! [X0] :
( finite(topstr_closure(X0,sK20(X0)))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f824,f271]) ).
fof(f824,plain,
! [X0] :
( ~ top_str(X0)
| finite(topstr_closure(X0,sK20(X0)))
| ~ finite(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f738,f296]) ).
fof(f832,plain,
! [X0] :
( finite(topstr_closure(X0,sK22(X0)))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f826]) ).
fof(f826,plain,
! [X0] :
( ~ top_str(X0)
| finite(topstr_closure(X0,sK22(X0)))
| ~ finite(the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f738,f317]) ).
fof(f831,plain,
! [X0] :
( finite(topstr_closure(X0,sK23(X0)))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f827]) ).
fof(f827,plain,
! [X0] :
( ~ top_str(X0)
| finite(topstr_closure(X0,sK23(X0)))
| ~ finite(the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f738,f319]) ).
fof(f830,plain,
! [X0] :
( finite(topstr_closure(X0,sK24(X0)))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f828]) ).
fof(f828,plain,
! [X0] :
( ~ top_str(X0)
| finite(topstr_closure(X0,sK24(X0)))
| ~ finite(the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f738,f322]) ).
fof(f825,plain,
! [X0] :
( finite(topstr_closure(X0,sK21(X0)))
| ~ top_str(X0)
| ~ finite(the_carrier(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f738,f310]) ).
fof(f829,plain,
! [X0] :
( finite(topstr_closure(X0,sK25(the_carrier(X0))))
| ~ top_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f738,f324]) ).
fof(f835,plain,
! [X0] :
( finite(topstr_closure(X0,sK15(X0)))
| ~ top_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f821]) ).
fof(f821,plain,
! [X0] :
( ~ top_str(X0)
| finite(topstr_closure(X0,sK15(X0)))
| ~ finite(the_carrier(X0))
| ~ top_str(X0) ),
inference(resolution,[],[f738,f273]) ).
fof(f738,plain,
! [X0,X1] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ top_str(X1)
| finite(topstr_closure(X1,X0))
| ~ finite(the_carrier(X1)) ),
inference(resolution,[],[f347,f282]) ).
fof(f796,plain,
! [X0] :
( sK8(sK28(sK7,X0)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(sK28(sK7,X0)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(sK28(sK7,X0)))))
| in(sK28(sK7,X0),X0)
| sK7 = X0 ),
inference(resolution,[],[f257,f353]) ).
fof(f795,plain,
! [X0] :
( sK8(sK28(X0,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(sK28(X0,sK7)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(sK28(X0,sK7)))))
| in(sK28(X0,sK7),X0)
| sK7 = X0 ),
inference(resolution,[],[f257,f353]) ).
fof(f257,plain,
! [X5] :
( ~ in(X5,sK7)
| sK8(X5) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(X5))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(X5)))) ),
inference(cnf_transformation,[],[f190]) ).
fof(f439,plain,
! [X0] :
( ~ rel_str(X0)
| relation_rng_as_subset(the_carrier(X0),the_carrier(X0),the_InternalRel(X0)) = relation_rng(the_InternalRel(X0)) ),
inference(resolution,[],[f355,f430]) ).
fof(f480,plain,
! [X0,X1] :
( ~ in(X0,sK28(X0,X1))
| X0 = X1
| in(sK28(X0,X1),X1) ),
inference(resolution,[],[f353,f329]) ).
fof(f475,plain,
! [X0,X1] :
( ~ in(X1,sK28(X0,X1))
| X0 = X1
| in(sK28(X0,X1),X0) ),
inference(resolution,[],[f353,f329]) ).
fof(f470,plain,
! [X0,X1] :
( relation_of2(the_mapping(X1,X0),the_carrier(X0),the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1) ),
inference(resolution,[],[f350,f370]) ).
fof(f442,plain,
! [X2,X3,X0,X1] :
( relation(relation_rng_as_subset(X1,cartesian_product2(X2,X3),X0))
| ~ relation_of2(X0,X1,cartesian_product2(X2,X3)) ),
inference(resolution,[],[f356,f358]) ).
fof(f753,plain,
! [X0] :
( sK10(sK28(sK6,X0)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(sK28(sK6,X0)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(sK28(sK6,X0)))))
| in(sK28(sK6,X0),X0)
| sK6 = X0 ),
inference(resolution,[],[f250,f353]) ).
fof(f752,plain,
! [X0] :
( sK10(sK28(X0,sK6)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(sK28(X0,sK6)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(sK28(X0,sK6)))))
| in(sK28(X0,sK6),X0)
| sK6 = X0 ),
inference(resolution,[],[f250,f353]) ).
fof(f250,plain,
! [X10] :
( ~ in(X10,sK6)
| sK10(X10) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(X10))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(X10)))) ),
inference(cnf_transformation,[],[f190]) ).
fof(f563,plain,
! [X0] :
( ~ in(X0,sK28(sK7,X0))
| sK28(sK7,X0) = sK9(sK28(sK7,X0))
| sK7 = X0 ),
inference(resolution,[],[f479,f329]) ).
fof(f553,plain,
! [X0] :
( ~ in(X0,sK28(sK7,X0))
| sK5 = topstr_closure(sK3,sK8(sK28(sK7,X0)))
| sK7 = X0 ),
inference(resolution,[],[f478,f329]) ).
fof(f543,plain,
! [X0] :
( ~ in(X0,sK28(sK6,X0))
| sK28(sK6,X0) = sK11(sK28(sK6,X0))
| sK6 = X0 ),
inference(resolution,[],[f477,f329]) ).
fof(f340,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(definition_folding,[],[f139,f179]) ).
fof(f179,plain,
! [X0,X1] :
( ? [X2] :
( directed_relstr(X2)
& strict_net_str(X2,X0)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& subnet(X2,X0,X1) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f139,plain,
! [X0,X1] :
( ? [X2] :
( directed_relstr(X2)
& strict_net_str(X2,X0)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& subnet(X2,X0,X1) )
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ? [X2] :
( directed_relstr(X2)
& strict_net_str(X2,X0)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& subnet(X2,X0,X1) )
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ? [X2] :
( directed_relstr(X2)
& strict_net_str(X2,X0)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& subnet(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_waybel_9) ).
fof(f533,plain,
! [X0] :
( ~ in(X0,sK28(sK6,X0))
| sK5 = topstr_closure(sK3,sK10(sK28(sK6,X0)))
| sK6 = X0 ),
inference(resolution,[],[f476,f329]) ).
fof(f523,plain,
! [X0] :
( ~ in(X0,sK28(X0,sK7))
| sK28(X0,sK7) = sK9(sK28(X0,sK7))
| sK7 = X0 ),
inference(resolution,[],[f474,f329]) ).
fof(f347,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0) )
=> element(topstr_closure(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f694,plain,
( sK28(sK6,sK7) = sK9(sK28(sK6,sK7))
| spl33_9 ),
inference(subsumption_resolution,[],[f691,f259]) ).
fof(f691,plain,
( sK6 = sK7
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7))
| spl33_9 ),
inference(resolution,[],[f685,f474]) ).
fof(f703,plain,
( ~ in(sK7,sK28(sK6,sK7))
| spl33_9 ),
inference(resolution,[],[f698,f329]) ).
fof(f346,plain,
! [X0,X1] :
( closed_subset(topstr_closure(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( closed_subset(topstr_closure(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( closed_subset(topstr_closure(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> closed_subset(topstr_closure(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_tops_1) ).
fof(f702,plain,
( sK28(sK6,sK7) = sK9(sK28(sK6,sK7))
| spl33_9 ),
inference(resolution,[],[f698,f256]) ).
fof(f701,plain,
( sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7)))
| spl33_9 ),
inference(resolution,[],[f698,f255]) ).
fof(f699,plain,
( sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7)))
| spl33_9 ),
inference(global_subsumption,[],[f389,f257,f391,f250,f307,f309,f334,f333,f332,f331,f340,f344,f343,f345,f346,f347,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f439,f437,f356,f442,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f468,f470,f469,f353,f475,f480,f471,f489,f354,f472,f506,f507,f473,f474,f526,f527,f523,f476,f536,f537,f533,f477,f546,f547,f543,f478,f556,f557,f553,f479,f566,f567,f563,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f685,f694,f698,f695,f517]) ).
fof(f517,plain,
( sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7)))
| sK28(sK6,sK7) = sK11(sK28(sK6,sK7)) ),
inference(subsumption_resolution,[],[f510,f259]) ).
fof(f510,plain,
( sK6 = sK7
| sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7)))
| sK28(sK6,sK7) = sK11(sK28(sK6,sK7)) ),
inference(resolution,[],[f473,f249]) ).
fof(f695,plain,
( sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7)))
| spl33_9 ),
inference(subsumption_resolution,[],[f692,f259]) ).
fof(f692,plain,
( sK6 = sK7
| sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7)))
| spl33_9 ),
inference(resolution,[],[f685,f473]) ).
fof(f516,plain,
( sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7)))
| sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7))) ),
inference(subsumption_resolution,[],[f509,f259]) ).
fof(f509,plain,
( sK6 = sK7
| sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7)))
| sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7))) ),
inference(resolution,[],[f473,f248]) ).
fof(f665,plain,
! [X0] :
( closed_subset(sK22(X0),X0)
| ~ empty(sK22(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f659]) ).
fof(f659,plain,
! [X0] :
( ~ empty(sK22(X0))
| closed_subset(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f300,f317]) ).
fof(f670,plain,
! [X0] :
( closed_subset(sK25(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f662,f325]) ).
fof(f662,plain,
! [X0] :
( ~ empty(sK25(the_carrier(X0)))
| closed_subset(sK25(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f300,f324]) ).
fof(f669,plain,
! [X0] :
( closed_subset(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f668,f274]) ).
fof(f668,plain,
! [X0] :
( ~ empty(sK15(X0))
| closed_subset(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f654]) ).
fof(f654,plain,
! [X0] :
( ~ empty(sK15(X0))
| closed_subset(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f300,f273]) ).
fof(f650,plain,
! [X2,X0,X1] :
( closed_subset(relation_rng_as_subset(X0,the_carrier(X1),X2),X1)
| ~ empty(relation_rng_as_subset(X0,the_carrier(X1),X2))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ relation_of2(X2,X0,the_carrier(X1)) ),
inference(resolution,[],[f300,f356]) ).
fof(f300,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ empty(X1)
| closed_subset(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( closed_subset(X1,X0)
& open_subset(X1,X0) )
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ( closed_subset(X1,X0)
& open_subset(X1,X0) )
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( empty(X1)
=> ( closed_subset(X1,X0)
& open_subset(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_tops_1) ).
fof(f513,plain,
! [X0] :
( ~ in(X0,sK28(X0,sK7))
| sK5 = topstr_closure(sK3,sK8(sK28(X0,sK7)))
| sK7 = X0 ),
inference(resolution,[],[f473,f329]) ).
fof(f617,plain,
! [X0] :
( open_subset(sK24(X0),X0)
| ~ empty(sK24(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f615]) ).
fof(f615,plain,
! [X0] :
( ~ empty(sK24(X0))
| open_subset(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f299,f322]) ).
fof(f624,plain,
! [X0] :
( open_subset(sK25(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f616,f325]) ).
fof(f616,plain,
! [X0] :
( ~ empty(sK25(the_carrier(X0)))
| open_subset(sK25(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f299,f324]) ).
fof(f623,plain,
! [X0] :
( open_subset(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f622,f274]) ).
fof(f622,plain,
! [X0] :
( ~ empty(sK15(X0))
| open_subset(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f608]) ).
fof(f608,plain,
! [X0] :
( ~ empty(sK15(X0))
| open_subset(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f299,f273]) ).
fof(f604,plain,
! [X2,X0,X1] :
( open_subset(relation_rng_as_subset(X0,the_carrier(X1),X2),X1)
| ~ empty(relation_rng_as_subset(X0,the_carrier(X1),X2))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ relation_of2(X2,X0,the_carrier(X1)) ),
inference(resolution,[],[f299,f356]) ).
fof(f299,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ empty(X1)
| open_subset(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f503,plain,
! [X0] :
( ~ in(X0,sK28(X0,sK6))
| sK28(X0,sK6) = sK11(sK28(X0,sK6))
| sK6 = X0 ),
inference(resolution,[],[f472,f329]) ).
fof(f596,plain,
! [X0] :
( nowhere_dense(sK22(X0),X0)
| ~ empty(sK22(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f590]) ).
fof(f590,plain,
! [X0] :
( ~ empty(sK22(X0))
| nowhere_dense(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f298,f317]) ).
fof(f595,plain,
! [X0] :
( nowhere_dense(sK23(X0),X0)
| ~ empty(sK23(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f591]) ).
fof(f591,plain,
! [X0] :
( ~ empty(sK23(X0))
| nowhere_dense(sK23(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f298,f319]) ).
fof(f594,plain,
! [X0] :
( nowhere_dense(sK24(X0),X0)
| ~ empty(sK24(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f592]) ).
fof(f592,plain,
! [X0] :
( ~ empty(sK24(X0))
| nowhere_dense(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f298,f322]) ).
fof(f601,plain,
! [X0] :
( nowhere_dense(sK25(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f593,f325]) ).
fof(f593,plain,
! [X0] :
( ~ empty(sK25(the_carrier(X0)))
| nowhere_dense(sK25(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f298,f324]) ).
fof(f600,plain,
! [X0] :
( nowhere_dense(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f599,f274]) ).
fof(f599,plain,
! [X0] :
( ~ empty(sK15(X0))
| nowhere_dense(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f585]) ).
fof(f585,plain,
! [X0] :
( ~ empty(sK15(X0))
| nowhere_dense(sK15(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f298,f273]) ).
fof(f581,plain,
! [X2,X0,X1] :
( nowhere_dense(relation_rng_as_subset(X0,the_carrier(X1),X2),X1)
| ~ empty(relation_rng_as_subset(X0,the_carrier(X1),X2))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ relation_of2(X2,X0,the_carrier(X1)) ),
inference(resolution,[],[f298,f356]) ).
fof(f298,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ empty(X1)
| nowhere_dense(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( nowhere_dense(X1,X0)
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( nowhere_dense(X1,X0)
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( empty(X1)
=> nowhere_dense(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_tops_1) ).
fof(f488,plain,
( sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6)))
| sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6))) ),
inference(subsumption_resolution,[],[f484,f259]) ).
fof(f484,plain,
( sK6 = sK7
| sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6)))
| sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6))) ),
inference(resolution,[],[f471,f255]) ).
fof(f486,plain,
! [X0] :
( ~ in(X0,sK28(X0,sK6))
| sK5 = topstr_closure(sK3,sK10(sK28(X0,sK6)))
| sK6 = X0 ),
inference(resolution,[],[f471,f329]) ).
fof(f494,plain,
! [X0] :
( ~ in(sK28(X0,the_carrier(sK4)),sK6)
| ~ in(sK28(X0,the_carrier(sK4)),X0)
| the_carrier(sK4) = X0 ),
inference(resolution,[],[f354,f245]) ).
fof(f493,plain,
! [X0] :
( ~ in(sK28(X0,the_carrier(sK4)),sK7)
| ~ in(sK28(X0,the_carrier(sK4)),X0)
| the_carrier(sK4) = X0 ),
inference(resolution,[],[f354,f252]) ).
fof(f479,plain,
! [X0] :
( in(sK28(sK7,X0),X0)
| sK7 = X0
| sK28(sK7,X0) = sK9(sK28(sK7,X0)) ),
inference(resolution,[],[f353,f256]) ).
fof(f556,plain,
( sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6)))
| sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6))) ),
inference(subsumption_resolution,[],[f549,f259]) ).
fof(f549,plain,
( sK6 = sK7
| sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6)))
| sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6))) ),
inference(resolution,[],[f478,f248]) ).
fof(f478,plain,
! [X0] :
( in(sK28(sK7,X0),X0)
| sK7 = X0
| sK5 = topstr_closure(sK3,sK8(sK28(sK7,X0))) ),
inference(resolution,[],[f353,f255]) ).
fof(f547,plain,
( sK28(sK6,sK7) = sK11(sK28(sK6,sK7))
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7)) ),
inference(subsumption_resolution,[],[f542,f259]) ).
fof(f542,plain,
( sK6 = sK7
| sK28(sK6,sK7) = sK11(sK28(sK6,sK7))
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7)) ),
inference(resolution,[],[f477,f256]) ).
fof(f546,plain,
( sK28(sK6,sK7) = sK11(sK28(sK6,sK7))
| sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7))) ),
inference(subsumption_resolution,[],[f541,f259]) ).
fof(f541,plain,
( sK6 = sK7
| sK28(sK6,sK7) = sK11(sK28(sK6,sK7))
| sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7))) ),
inference(resolution,[],[f477,f255]) ).
fof(f477,plain,
! [X0] :
( in(sK28(sK6,X0),X0)
| sK6 = X0
| sK28(sK6,X0) = sK11(sK28(sK6,X0)) ),
inference(resolution,[],[f353,f249]) ).
fof(f536,plain,
( sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7)))
| sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7))) ),
inference(subsumption_resolution,[],[f531,f259]) ).
fof(f531,plain,
( sK6 = sK7
| sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7)))
| sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7))) ),
inference(resolution,[],[f476,f255]) ).
fof(f476,plain,
! [X0] :
( in(sK28(sK6,X0),X0)
| sK6 = X0
| sK5 = topstr_closure(sK3,sK10(sK28(sK6,X0))) ),
inference(resolution,[],[f353,f248]) ).
fof(f527,plain,
( sK28(sK6,sK7) = sK9(sK28(sK6,sK7))
| sK28(sK6,sK7) = sK11(sK28(sK6,sK7)) ),
inference(subsumption_resolution,[],[f520,f259]) ).
fof(f520,plain,
( sK6 = sK7
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7))
| sK28(sK6,sK7) = sK11(sK28(sK6,sK7)) ),
inference(resolution,[],[f474,f249]) ).
fof(f474,plain,
! [X0] :
( in(sK28(X0,sK7),X0)
| sK7 = X0
| sK28(X0,sK7) = sK9(sK28(X0,sK7)) ),
inference(resolution,[],[f353,f256]) ).
fof(f473,plain,
! [X0] :
( in(sK28(X0,sK7),X0)
| sK7 = X0
| sK5 = topstr_closure(sK3,sK8(sK28(X0,sK7))) ),
inference(resolution,[],[f353,f255]) ).
fof(f472,plain,
! [X0] :
( in(sK28(X0,sK6),X0)
| sK6 = X0
| sK28(X0,sK6) = sK11(sK28(X0,sK6)) ),
inference(resolution,[],[f353,f249]) ).
fof(f354,plain,
! [X0,X1] :
( ~ in(sK28(X0,X1),X1)
| X0 = X1
| ~ in(sK28(X0,X1),X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f471,plain,
! [X0] :
( in(sK28(X0,sK6),X0)
| sK6 = X0
| sK5 = topstr_closure(sK3,sK10(sK28(X0,sK6))) ),
inference(resolution,[],[f353,f248]) ).
fof(f469,plain,
! [X0,X1] :
( relation(the_mapping(X1,X0))
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1) ),
inference(resolution,[],[f350,f436]) ).
fof(f350,plain,
! [X0,X1] :
( relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ( relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& function(the_mapping(X0,X1)) )
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ( relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& function(the_mapping(X0,X1)) )
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& one_sorted_str(X0) )
=> ( relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& function(the_mapping(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_waybel_0) ).
fof(f349,plain,
! [X0,X1] :
( quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f342,plain,
! [X0,X1] :
( relation(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ( quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& function(the_mapping(X0,X1))
& relation(the_mapping(X0,X1))
& ~ empty(the_mapping(X0,X1)) )
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& function(the_mapping(X0,X1))
& relation(the_mapping(X0,X1))
& ~ empty(the_mapping(X0,X1)) )
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& function(the_mapping(X0,X1))
& relation(the_mapping(X0,X1))
& ~ empty(the_mapping(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc15_yellow_6) ).
fof(f341,plain,
! [X0,X1] :
( ~ empty(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f466,plain,
! [X0] :
( finite(sK19(X0))
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ top_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f292,f282]) ).
fof(f463,plain,
! [X0] :
( finite(sK18(X0))
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ top_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f288,f282]) ).
fof(f292,plain,
! [X0] :
( element(sK19(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ( closed_subset(sK19(X0),X0)
& ~ empty(sK19(X0))
& element(sK19(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f110,f205]) ).
fof(f205,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( closed_subset(sK19(X0),X0)
& ~ empty(sK19(X0))
& element(sK19(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( closed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc7_pre_topc) ).
fof(f288,plain,
! [X0] :
( element(sK18(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ( closed_subset(sK18(X0),X0)
& open_subset(sK18(X0),X0)
& ~ empty(sK18(X0))
& element(sK18(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f108,f203]) ).
fof(f203,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( closed_subset(sK18(X0),X0)
& open_subset(sK18(X0),X0)
& ~ empty(sK18(X0))
& element(sK18(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_tops_1) ).
fof(f459,plain,
! [X0] :
( boundary_set(sK22(X0),X0)
| ~ empty(sK22(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f453]) ).
fof(f453,plain,
! [X0] :
( ~ empty(sK22(X0))
| boundary_set(sK22(X0),X0)
| ~ top_str(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f272,f317]) ).
fof(f458,plain,
! [X0] :
( boundary_set(sK23(X0),X0)
| ~ empty(sK23(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f454]) ).
fof(f454,plain,
! [X0] :
( ~ empty(sK23(X0))
| boundary_set(sK23(X0),X0)
| ~ top_str(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f272,f319]) ).
fof(f457,plain,
! [X0] :
( boundary_set(sK24(X0),X0)
| ~ empty(sK24(X0))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f455]) ).
fof(f455,plain,
! [X0] :
( ~ empty(sK24(X0))
| boundary_set(sK24(X0),X0)
| ~ top_str(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(resolution,[],[f272,f322]) ).
fof(f461,plain,
! [X0] :
( boundary_set(sK25(the_carrier(X0)),X0)
| ~ top_str(X0) ),
inference(subsumption_resolution,[],[f456,f325]) ).
fof(f456,plain,
! [X0] :
( ~ empty(sK25(the_carrier(X0)))
| boundary_set(sK25(the_carrier(X0)),X0)
| ~ top_str(X0) ),
inference(resolution,[],[f272,f324]) ).
fof(f446,plain,
! [X2,X0,X1] :
( boundary_set(relation_rng_as_subset(X0,the_carrier(X1),X2),X1)
| ~ empty(relation_rng_as_subset(X0,the_carrier(X1),X2))
| ~ top_str(X1)
| ~ relation_of2(X2,X0,the_carrier(X1)) ),
inference(resolution,[],[f272,f356]) ).
fof(f272,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ empty(X1)
| boundary_set(X1,X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( boundary_set(X1,X0)
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( boundary_set(X1,X0)
| ~ empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( empty(X1)
=> boundary_set(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_tops_1) ).
fof(f444,plain,
! [X0] :
( ~ empty(cartesian_product2(the_carrier(X0),the_carrier(X0)))
| ~ rel_str(X0)
| finite(the_InternalRel(X0)) ),
inference(resolution,[],[f440,f284]) ).
fof(f445,plain,
! [X0] :
( finite(the_InternalRel(X0))
| ~ rel_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f443]) ).
fof(f443,plain,
! [X0] :
( finite(the_InternalRel(X0))
| ~ rel_str(X0)
| ~ finite(the_carrier(X0))
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f440,f352]) ).
fof(f440,plain,
! [X0] :
( ~ finite(cartesian_product2(the_carrier(X0),the_carrier(X0)))
| finite(the_InternalRel(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f437,f270]) ).
fof(f441,plain,
! [X2,X0,X1] :
( finite(relation_rng_as_subset(X1,X2,X0))
| ~ relation_of2(X0,X1,X2)
| ~ finite(X2) ),
inference(resolution,[],[f356,f282]) ).
fof(f356,plain,
! [X2,X0,X1] :
( element(relation_rng_as_subset(X0,X1,X2),powerset(X1))
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( element(relation_rng_as_subset(X0,X1,X2),powerset(X1))
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> element(relation_rng_as_subset(X0,X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relset_1) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| finite(X0)
| ~ finite(cartesian_product2(X1,X2)) ),
inference(resolution,[],[f357,f282]) ).
fof(f355,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_rng_as_subset(X0,X1,X2) = relation_rng(X2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( relation_rng_as_subset(X0,X1,X2) = relation_rng(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> relation_rng_as_subset(X0,X1,X2) = relation_rng(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_relset_1) ).
fof(f435,plain,
! [X0] :
( finite(sK24(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f322,f282]) ).
fof(f434,plain,
! [X0] :
( finite(sK23(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f319,f282]) ).
fof(f433,plain,
! [X0] :
( finite(sK22(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f317,f282]) ).
fof(f432,plain,
! [X0] :
( finite(sK20(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f296,f282]) ).
fof(f438,plain,
! [X0] :
( relation(the_InternalRel(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f436,f270]) ).
fof(f436,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f357,f358]) ).
fof(f357,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f322,plain,
! [X0] :
( element(sK24(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ( closed_subset(sK24(X0),X0)
& element(sK24(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f132,f217]) ).
fof(f217,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( closed_subset(sK24(X0),X0)
& element(sK24(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_pre_topc) ).
fof(f319,plain,
! [X0] :
( element(sK23(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ( closed_subset(sK23(X0),X0)
& open_subset(sK23(X0),X0)
& element(sK23(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f130,f215]) ).
fof(f215,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( closed_subset(sK23(X0),X0)
& open_subset(sK23(X0),X0)
& element(sK23(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( closed_subset(X1,X0)
& open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_tops_1) ).
fof(f317,plain,
! [X0] :
( element(sK22(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ( open_subset(sK22(X0),X0)
& element(sK22(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f128,f213]) ).
fof(f213,plain,
! [X0] :
( ? [X1] :
( open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( open_subset(sK22(X0),X0)
& element(sK22(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ? [X1] :
( open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_tops_1) ).
fof(f296,plain,
! [X0] :
( element(sK20(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ( ~ empty(sK20(X0))
& element(sK20(X0),powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f114,f207]) ).
fof(f207,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK20(X0))
& element(sK20(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f294,plain,
! [X0] :
( closed_subset(sK19(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f291,plain,
! [X0] :
( closed_subset(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f290,plain,
! [X0] :
( open_subset(sK18(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f430,plain,
! [X0] :
( relation_of2(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f270,f370]) ).
fof(f428,plain,
! [X0,X1] :
( relation(sK14(cartesian_product2(X0,X1)))
| empty(cartesian_product2(X0,X1)) ),
inference(resolution,[],[f358,f266]) ).
fof(f427,plain,
! [X0,X1] :
( relation(sK13(cartesian_product2(X0,X1)))
| empty(cartesian_product2(X0,X1)) ),
inference(resolution,[],[f358,f263]) ).
fof(f426,plain,
! [X0,X1] :
( relation(sK12(cartesian_product2(X0,X1)))
| empty(cartesian_product2(X0,X1)) ),
inference(resolution,[],[f358,f261]) ).
fof(f348,plain,
! [X0,X1] :
( function(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f335,plain,
! [X0,X1] :
( subnet(sK27(X0,X1),X0,X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( ( directed_relstr(sK27(X0,X1))
& strict_net_str(sK27(X0,X1),X0)
& transitive_relstr(sK27(X0,X1))
& ~ empty_carrier(sK27(X0,X1))
& subnet(sK27(X0,X1),X0,X1) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f223,f224]) ).
fof(f224,plain,
! [X0,X1] :
( ? [X2] :
( directed_relstr(X2)
& strict_net_str(X2,X0)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& subnet(X2,X0,X1) )
=> ( directed_relstr(sK27(X0,X1))
& strict_net_str(sK27(X0,X1),X0)
& transitive_relstr(sK27(X0,X1))
& ~ empty_carrier(sK27(X0,X1))
& subnet(sK27(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
! [X0,X1] :
( ? [X2] :
( directed_relstr(X2)
& strict_net_str(X2,X0)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& subnet(X2,X0,X1) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f179]) ).
fof(f293,plain,
! [X0] :
( ~ empty(sK19(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f289,plain,
! [X0] :
( ~ empty(sK18(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f279,plain,
! [X0] :
( element(sK17(X0),powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ( finite(sK17(X0))
& ~ empty(sK17(X0))
& element(sK17(X0),powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f100,f201]) ).
fof(f201,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ( finite(sK17(X0))
& ~ empty(sK17(X0))
& element(sK17(X0),powerset(powerset(the_carrier(X0)))) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( one_sorted_str(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(the_carrier(X0)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_waybel_7) ).
fof(f270,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( rel_str(X0)
=> relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f425,plain,
! [X0] :
( finite(sK21(X0))
| ~ sP1(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f310,f282]) ).
fof(f422,plain,
! [X0] :
( finite(sK15(X0))
| ~ finite(the_carrier(X0))
| ~ top_str(X0) ),
inference(resolution,[],[f282,f273]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f429,plain,
! [X0,X1] : relation(sK25(cartesian_product2(X0,X1))),
inference(resolution,[],[f358,f324]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f352,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_finset_1) ).
fof(f338,plain,
! [X0,X1] :
( strict_net_str(sK27(X0,X1),X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f330,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( ~ empty(X1)
& ~ empty(X0) )
=> ~ empty(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f323,plain,
! [X0] :
( closed_subset(sK24(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f321,plain,
! [X0] :
( closed_subset(sK23(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f320,plain,
! [X0] :
( open_subset(sK23(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f318,plain,
! [X0] :
( open_subset(sK22(X0),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f310,plain,
! [X0] :
( element(sK21(X0),powerset(the_carrier(X0)))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ( nowhere_dense(sK21(X0),X0)
& boundary_set(sK21(X0),X0)
& closed_subset(sK21(X0),X0)
& open_subset(sK21(X0),X0)
& empty(sK21(X0))
& element(sK21(X0),powerset(the_carrier(X0))) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f210,f211]) ).
fof(f211,plain,
! [X0] :
( ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( nowhere_dense(sK21(X0),X0)
& boundary_set(sK21(X0),X0)
& closed_subset(sK21(X0),X0)
& open_subset(sK21(X0),X0)
& empty(sK21(X0))
& element(sK21(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
! [X0] :
( ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f419,plain,
! [X0] :
( finite(sK12(X0))
| ~ finite(X0)
| empty(X0) ),
inference(resolution,[],[f282,f261]) ).
fof(f423,plain,
! [X0] :
( finite(sK25(X0))
| ~ finite(X0) ),
inference(resolution,[],[f282,f324]) ).
fof(f282,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(f273,plain,
! [X0] :
( element(sK15(X0),powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ( boundary_set(sK15(X0),X0)
& empty(sK15(X0))
& element(sK15(X0),powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f97,f197]) ).
fof(f197,plain,
! [X0] :
( ? [X1] :
( boundary_set(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( boundary_set(sK15(X0),X0)
& empty(sK15(X0))
& element(sK15(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( boundary_set(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f81]) ).
fof(f81,plain,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& v1_membered(X1)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f80]) ).
fof(f80,plain,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& v2_membered(X1)
& v1_membered(X1)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f75]) ).
fof(f75,plain,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f72]) ).
fof(f72,plain,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( top_str(X0)
=> ? [X1] :
( boundary_set(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_tops_1) ).
fof(f339,plain,
! [X0,X1] :
( directed_relstr(sK27(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f337,plain,
! [X0,X1] :
( transitive_relstr(sK27(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f336,plain,
! [X0,X1] :
( ~ empty_carrier(sK27(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f297,plain,
! [X0] :
( ~ empty(sK20(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f295,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f417,plain,
! [X0] :
( one_sorted_str(sK16(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f403,f269]) ).
fof(f287,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f403,plain,
! [X0] :
( rel_str(sK16(X0))
| ~ one_sorted_str(X0) ),
inference(duplicate_literal_removal,[],[f402]) ).
fof(f402,plain,
! [X0] :
( rel_str(sK16(X0))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f276,f277]) ).
fof(f401,plain,
( rel_str(sK4)
| ~ one_sorted_str(sK3) ),
inference(resolution,[],[f276,f244]) ).
fof(f276,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f266,plain,
! [X0] :
( element(sK14(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ( finite(sK14(X0))
& ~ empty(sK14(X0))
& element(sK14(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f91,f195]) ).
fof(f195,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK14(X0))
& ~ empty(sK14(X0))
& element(sK14(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(f263,plain,
! [X0] :
( element(sK13(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ( finite(sK13(X0))
& ~ empty(sK13(X0))
& element(sK13(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f90,f193]) ).
fof(f193,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK13(X0))
& ~ empty(sK13(X0))
& element(sK13(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(f261,plain,
! [X0] :
( element(sK12(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ( ~ empty(sK12(X0))
& element(sK12(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f89,f191]) ).
fof(f191,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK12(X0))
& element(sK12(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f255,plain,
! [X5] :
( ~ in(X5,sK7)
| sK5 = topstr_closure(sK3,sK8(X5)) ),
inference(cnf_transformation,[],[f190]) ).
fof(f248,plain,
! [X10] :
( ~ in(X10,sK6)
| sK5 = topstr_closure(sK3,sK10(X10)) ),
inference(cnf_transformation,[],[f190]) ).
fof(f254,plain,
! [X5] :
( element(sK9(X5),the_carrier(sK4))
| ~ in(X5,sK7) ),
inference(cnf_transformation,[],[f190]) ).
fof(f247,plain,
! [X10] :
( element(sK11(X10),the_carrier(sK4))
| ~ in(X10,sK6) ),
inference(cnf_transformation,[],[f190]) ).
fof(f246,plain,
! [X10] :
( netstr_induced_subset(sK10(X10),sK3,sK4)
| ~ in(X10,sK6) ),
inference(cnf_transformation,[],[f190]) ).
fof(f400,plain,
~ in(the_carrier(sK4),sK6),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f399,plain,
( ~ in(the_carrier(sK4),sK6)
| ~ in(the_carrier(sK4),sK6) ),
inference(resolution,[],[f393,f245]) ).
fof(f393,plain,
! [X0] :
( ~ in(the_carrier(sK4),X0)
| ~ in(X0,sK6) ),
inference(resolution,[],[f329,f245]) ).
fof(f396,plain,
~ in(the_carrier(sK4),sK7),
inference(duplicate_literal_removal,[],[f394]) ).
fof(f394,plain,
( ~ in(the_carrier(sK4),sK7)
| ~ in(the_carrier(sK4),sK7) ),
inference(resolution,[],[f392,f252]) ).
fof(f397,plain,
~ in(the_carrier(sK4),sK7),
inference(global_subsumption,[],[f389,f257,f255,f254,f253,f391,f250,f248,f247,f246,f261,f263,f266,f270,f272,f273,f276,f279,f282,f287,f291,f290,f289,f288,f294,f293,f292,f295,f297,f296,f298,f300,f299,f307,f309,f310,f318,f317,f321,f320,f319,f323,f322,f330,f334,f333,f332,f331,f339,f338,f337,f336,f335,f340,f344,f343,f342,f341,f345,f346,f347,f350,f349,f348,f351,f352,f354,f353,f355,f356,f357,f358,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f370,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f393,f392,f396,f395]) ).
fof(f395,plain,
( ~ in(the_carrier(sK4),sK7)
| ~ in(the_carrier(sK4),sK6) ),
inference(resolution,[],[f392,f245]) ).
fof(f392,plain,
! [X0] :
( ~ in(the_carrier(sK4),X0)
| ~ in(X0,sK7) ),
inference(resolution,[],[f329,f252]) ).
fof(f329,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f326,plain,
! [X0] : element(sK26(X0),powerset(powerset(X0))),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( finite(sK26(X0))
& ~ empty(sK26(X0))
& element(sK26(X0),powerset(powerset(X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f16,f221]) ).
fof(f221,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(X0))) )
=> ( finite(sK26(X0))
& ~ empty(sK26(X0))
& element(sK26(X0),powerset(powerset(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f16,axiom,
! [X0] :
? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(powerset(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_waybel_7) ).
fof(f316,plain,
! [X0] :
( sP1(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( sP1(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(definition_folding,[],[f126,f177]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_tops_1) ).
fof(f315,plain,
! [X0] :
( nowhere_dense(sK21(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f314,plain,
! [X0] :
( boundary_set(sK21(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f313,plain,
! [X0] :
( closed_subset(sK21(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f312,plain,
! [X0] :
( open_subset(sK21(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f305,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| boundary_set(X1,X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1] :
( ( nowhere_dense(X1,X0)
& boundary_set(X1,X0)
& closed_subset(X1,X0)
& open_subset(X1,X0)
& empty(X1) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f175]) ).
fof(f304,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| closed_subset(X1,X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f278,plain,
! [X0] :
( strict_net_str(sK16(X0),X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ( strict_net_str(sK16(X0),X0)
& net_str(sK16(X0),X0) )
| ~ one_sorted_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f99,f199]) ).
fof(f199,plain,
! [X0] :
( ? [X1] :
( strict_net_str(X1,X0)
& net_str(X1,X0) )
=> ( strict_net_str(sK16(X0),X0)
& net_str(sK16(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ? [X1] :
( strict_net_str(X1,X0)
& net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( one_sorted_str(X0)
=> ? [X1] :
( strict_net_str(X1,X0)
& net_str(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_waybel_0) ).
fof(f277,plain,
! [X0] :
( net_str(sK16(X0),X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f275,plain,
! [X0] :
( boundary_set(sK15(X0),X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f256,plain,
! [X5] :
( ~ in(X5,sK7)
| sK9(X5) = X5 ),
inference(cnf_transformation,[],[f190]) ).
fof(f249,plain,
! [X10] :
( ~ in(X10,sK6)
| sK11(X10) = X10 ),
inference(cnf_transformation,[],[f190]) ).
fof(f245,plain,
! [X10] :
( in(X10,the_carrier(sK4))
| ~ in(X10,sK6) ),
inference(cnf_transformation,[],[f190]) ).
fof(f324,plain,
! [X0] : element(sK25(X0),powerset(X0)),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0] :
( empty(sK25(X0))
& element(sK25(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f24,f219]) ).
fof(f219,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK25(X0))
& element(sK25(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f311,plain,
! [X0] :
( empty(sK21(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f302,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f286,plain,
! [X0] :
( relation(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( relation(relation_rng(X0))
& empty(relation_rng(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_rng(X0))
& empty(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(f285,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f281,plain,
! [X0] :
( finite(sK17(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f280,plain,
! [X0] :
( ~ empty(sK17(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f274,plain,
! [X0] :
( empty(sK15(X0))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f268,plain,
! [X0] :
( finite(sK14(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f267,plain,
! [X0] :
( ~ empty(sK14(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f265,plain,
! [X0] :
( finite(sK13(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f264,plain,
! [X0] :
( ~ empty(sK13(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f262,plain,
! [X0] :
( ~ empty(sK12(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f284,plain,
! [X0] :
( finite(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( finite(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( empty(X0)
=> finite(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(f271,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f269,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f328,plain,
! [X0] : finite(sK26(X0)),
inference(cnf_transformation,[],[f222]) ).
fof(f327,plain,
! [X0] : ~ empty(sK26(X0)),
inference(cnf_transformation,[],[f222]) ).
fof(f325,plain,
! [X0] : empty(sK25(X0)),
inference(cnf_transformation,[],[f220]) ).
fof(f260,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f244,plain,
net_str(sK4,sK3),
inference(cnf_transformation,[],[f190]) ).
fof(f387,plain,
relation(sK32),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
( relation(sK32)
& empty(sK32) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f34,f236]) ).
fof(f236,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK32)
& empty(sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f34,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f386,plain,
empty(sK32),
inference(cnf_transformation,[],[f237]) ).
fof(f385,plain,
~ empty_carrier(sK31),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( ~ empty_carrier(sK31)
& one_sorted_str(sK31) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f50,f234]) ).
fof(f234,plain,
( ? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ( ~ empty_carrier(sK31)
& one_sorted_str(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f50,axiom,
? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f384,plain,
one_sorted_str(sK31),
inference(cnf_transformation,[],[f235]) ).
fof(f383,plain,
finite(sK30),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
( finite(sK30)
& ~ empty(sK30) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f5,f232]) ).
fof(f232,plain,
( ? [X0] :
( finite(X0)
& ~ empty(X0) )
=> ( finite(sK30)
& ~ empty(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f5,axiom,
? [X0] :
( finite(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(f382,plain,
~ empty(sK30),
inference(cnf_transformation,[],[f233]) ).
fof(f381,plain,
relation(sK29),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( relation(sK29)
& ~ empty(sK29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f36,f230]) ).
fof(f230,plain,
( ? [X0] :
( relation(X0)
& ~ empty(X0) )
=> ( relation(sK29)
& ~ empty(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f380,plain,
~ empty(sK29),
inference(cnf_transformation,[],[f231]) ).
fof(f243,plain,
directed_relstr(sK4),
inference(cnf_transformation,[],[f190]) ).
fof(f242,plain,
transitive_relstr(sK4),
inference(cnf_transformation,[],[f190]) ).
fof(f241,plain,
~ empty_carrier(sK4),
inference(cnf_transformation,[],[f190]) ).
fof(f240,plain,
top_str(sK3),
inference(cnf_transformation,[],[f190]) ).
fof(f239,plain,
topological_space(sK3),
inference(cnf_transformation,[],[f190]) ).
fof(f238,plain,
~ empty_carrier(sK3),
inference(cnf_transformation,[],[f190]) ).
fof(f373,plain,
! [X2,X3,X0,X1] :
( strict_net_str(net_str_of(X0,X1,X2,X3),X0)
| ~ relation_of2(X3,X1,the_carrier(X0))
| ~ quasi_total(X3,X1,the_carrier(X0))
| ~ function(X3)
| ~ relation_of2(X2,X1,X1)
| empty(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f367,plain,
! [X2,X0,X1] :
( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f360,plain,
! [X2,X0,X1] :
( ~ empty_carrier(netstr_restr_to_element(X0,X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f362,plain,
! [X2,X0,X1] :
( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f343,plain,
! [X0,X1] :
( function(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f344,plain,
! [X0,X1] :
( quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f2113,plain,
( sK8(sK28(sK6,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK9(sK28(sK6,sK7)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK9(sK28(sK6,sK7)))))
| spl33_9 ),
inference(resolution,[],[f698,f257]) ).
fof(f2745,plain,
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))),sK3,sK4)
| ~ spl33_8
| spl33_9
| ~ spl33_10
| ~ spl33_68 ),
inference(subsumption_resolution,[],[f2744,f1988]) ).
fof(f1988,plain,
( in(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_68 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f2744,plain,
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))),sK3,sK4)
| ~ in(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_8
| spl33_9
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f2743,f689]) ).
fof(f689,plain,
( element(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_10 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f687,plain,
( spl33_10
<=> element(sK28(sK6,sK7),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_10])]) ).
fof(f2743,plain,
( ~ element(sK28(sK6,sK7),the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))),sK3,sK4)
| ~ in(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_8
| spl33_9 ),
inference(subsumption_resolution,[],[f2742,f685]) ).
fof(f2742,plain,
( in(sK28(sK6,sK7),sK6)
| ~ element(sK28(sK6,sK7),the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))),sK3,sK4)
| ~ in(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_8
| spl33_9 ),
inference(subsumption_resolution,[],[f2733,f678]) ).
fof(f678,plain,
( sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7)))
| ~ spl33_8 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl33_8
<=> sK5 = topstr_closure(sK3,sK8(sK28(sK6,sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_8])]) ).
fof(f2733,plain,
( sK5 != topstr_closure(sK3,sK8(sK28(sK6,sK7)))
| in(sK28(sK6,sK7),sK6)
| ~ element(sK28(sK6,sK7),the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))),sK3,sK4)
| ~ in(sK28(sK6,sK7),the_carrier(sK4))
| spl33_9 ),
inference(superposition,[],[f391,f2730]) ).
fof(f2639,plain,
( ~ spl33_5
| spl33_6 ),
inference(avatar_contradiction_clause,[],[f2638]) ).
fof(f2638,plain,
( $false
| ~ spl33_5
| spl33_6 ),
inference(global_subsumption,[],[f344,f343,f362,f360,f367,f373,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f354,f472,f473,f474,f476,f536,f477,f546,f478,f556,f479,f493,f494,f486,f488,f298,f600,f601,f594,f595,f596,f503,f299,f623,f624,f617,f513,f300,f669,f670,f665,f516,f517,f346,f347,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f475,f480,f439,f257,f795,f796,f738,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f847,f848,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f898,f900,f901,f902,f920,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f507,f567,f768,f1075,f566,f489,f627,f1081,f1077,f1080,f1078,f645,f646,f1109,f1110,f351,f1112,f368,f1150,f1079,f369,f334,f366,f858,f1255,f1259,f914,f1265,f836,f1253,f1114,f1281,f1282,f1278,f776,f1287,f361,f363,f1288,f1354,f1284,f743,f744,f861,f1392,f1395,f1397,f868,f1399,f1400,f922,f1402,f1176,f1403,f364,f1406,f1190,f1408,f1409,f1410,f1411,f1412,f774,f1419,f1417,f365,f1473,f1472,f1471,f1470,f816,f1490,f374,f1398,f1497,f1404,f1500,f1501,f1418,f1503,f1506,f1507,f375,f359,f372,f1665,f376,f1804,f1792,f377,f1846,f1834,f378,f1894,f1882,f379,f1944,f1932,f389,f391,f2087,f764,f547,f527,f1578,f2091,f2092,f2102,f1581,f2118,f2119,f919,f1508,f2204,f2206,f446,f2260,f2269,f1496,f2327,f1499,f1502,f1529,f2369,f2368,f581,f2420,f2433,f1353,f604,f2484,f2498,f2205,f650,f2561,f846,f2582,f2583,f2585,f2581,f2106,f2104,f2633,f631]) ).
fof(f631,plain,
( ~ element(sK28(sK7,sK6),the_carrier(sK4))
| spl33_6 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl33_6
<=> element(sK28(sK7,sK6),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_6])]) ).
fof(f2633,plain,
( element(sK28(sK7,sK6),the_carrier(sK4))
| ~ spl33_5 ),
inference(subsumption_resolution,[],[f1151,f627]) ).
fof(f1151,plain,
( element(sK28(sK7,sK6),the_carrier(sK4))
| ~ in(sK28(sK7,sK6),sK6)
| ~ spl33_5 ),
inference(superposition,[],[f247,f1079]) ).
fof(f2104,plain,
( ! [X0] :
( netstr_restr_to_element(X0,sK4,sK28(sK7,sK6)) = subnetstr_of_element(X0,sK4,sK28(sK7,sK6))
| ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl33_5 ),
inference(forward_demodulation,[],[f2099,f1079]) ).
fof(f2099,plain,
( ! [X0] :
( ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,sK4,sK11(sK28(sK7,sK6))) = subnetstr_of_element(X0,sK4,sK11(sK28(sK7,sK6))) )
| ~ spl33_5 ),
inference(resolution,[],[f1578,f627]) ).
fof(f2106,plain,
( ! [X0] :
( netstr_restr_to_element(X0,sK4,sK28(sK7,sK6)) = subnetstr_of_element(X0,sK4,sK28(sK7,sK6))
| ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sK28(sK7,sK6) = sK9(sK28(sK7,sK6)) )
| ~ spl33_5 ),
inference(forward_demodulation,[],[f2105,f1079]) ).
fof(f2105,plain,
! [X0] :
( ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,sK4,sK11(sK28(sK7,sK6))) = subnetstr_of_element(X0,sK4,sK11(sK28(sK7,sK6)))
| sK28(sK7,sK6) = sK9(sK28(sK7,sK6)) ),
inference(subsumption_resolution,[],[f2100,f259]) ).
fof(f2100,plain,
! [X0] :
( ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,sK4,sK11(sK28(sK7,sK6))) = subnetstr_of_element(X0,sK4,sK11(sK28(sK7,sK6)))
| sK6 = sK7
| sK28(sK7,sK6) = sK9(sK28(sK7,sK6)) ),
inference(resolution,[],[f1578,f479]) ).
fof(f2581,plain,
( sK10(sK28(sK7,sK6)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK7,sK6))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK7,sK6))))
| ~ spl33_5 ),
inference(forward_demodulation,[],[f1077,f1079]) ).
fof(f2585,plain,
! [X0] :
( ~ nowhere_dense(sK12(the_carrier(X0)),X0)
| ~ open_subset(sK12(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0)) ),
inference(subsumption_resolution,[],[f2584,f262]) ).
fof(f2584,plain,
! [X0] :
( ~ open_subset(sK12(the_carrier(X0)),X0)
| ~ nowhere_dense(sK12(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0))
| empty(sK12(the_carrier(X0))) ),
inference(resolution,[],[f846,f302]) ).
fof(f2583,plain,
! [X0] :
( ~ open_subset(sK12(the_carrier(X0)),X0)
| ~ nowhere_dense(sK12(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0))
| closed_subset(sK12(the_carrier(X0)),X0) ),
inference(resolution,[],[f846,f304]) ).
fof(f2582,plain,
! [X0] :
( ~ open_subset(sK12(the_carrier(X0)),X0)
| ~ nowhere_dense(sK12(the_carrier(X0)),X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty(the_carrier(X0))
| boundary_set(sK12(the_carrier(X0)),X0) ),
inference(resolution,[],[f846,f305]) ).
fof(f2561,plain,
( ~ empty(relation_rng(the_mapping(sK31,sK16(sK31))))
| closed_subset(relation_rng(the_mapping(sK31,sK16(sK31))),sK31)
| ~ top_str(sK31)
| ~ topological_space(sK31)
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31)) ),
inference(forward_demodulation,[],[f2540,f1508]) ).
fof(f2540,plain,
( closed_subset(relation_rng(the_mapping(sK31,sK16(sK31))),sK31)
| ~ empty(relation_rng_as_subset(the_carrier(sK16(sK31)),the_carrier(sK31),the_mapping(sK31,sK16(sK31))))
| ~ top_str(sK31)
| ~ topological_space(sK31)
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31)) ),
inference(superposition,[],[f650,f1508]) ).
fof(f2205,plain,
( finite(relation_rng(the_mapping(sK31,sK16(sK31))))
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| ~ finite(the_carrier(sK31)) ),
inference(superposition,[],[f441,f1508]) ).
fof(f2498,plain,
( ~ empty(relation_rng(the_mapping(sK31,sK16(sK31))))
| open_subset(relation_rng(the_mapping(sK31,sK16(sK31))),sK31)
| ~ top_str(sK31)
| ~ topological_space(sK31)
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31)) ),
inference(forward_demodulation,[],[f2475,f1508]) ).
fof(f2475,plain,
( open_subset(relation_rng(the_mapping(sK31,sK16(sK31))),sK31)
| ~ empty(relation_rng_as_subset(the_carrier(sK16(sK31)),the_carrier(sK31),the_mapping(sK31,sK16(sK31))))
| ~ top_str(sK31)
| ~ topological_space(sK31)
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31)) ),
inference(superposition,[],[f604,f1508]) ).
fof(f2484,plain,
( ~ empty(relation_rng(the_InternalRel(sK16(sK31))))
| open_subset(relation_rng(the_InternalRel(sK16(sK31))),sK16(sK31))
| ~ top_str(sK16(sK31))
| ~ topological_space(sK16(sK31))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(forward_demodulation,[],[f2469,f1288]) ).
fof(f2469,plain,
( open_subset(relation_rng(the_InternalRel(sK16(sK31))),sK16(sK31))
| ~ empty(relation_rng_as_subset(the_carrier(sK16(sK31)),the_carrier(sK16(sK31)),the_InternalRel(sK16(sK31))))
| ~ top_str(sK16(sK31))
| ~ topological_space(sK16(sK31))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(superposition,[],[f604,f1288]) ).
fof(f2433,plain,
( ~ empty(relation_rng(the_mapping(sK31,sK16(sK31))))
| nowhere_dense(relation_rng(the_mapping(sK31,sK16(sK31))),sK31)
| ~ top_str(sK31)
| ~ topological_space(sK31)
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31)) ),
inference(forward_demodulation,[],[f2411,f1508]) ).
fof(f2411,plain,
( nowhere_dense(relation_rng(the_mapping(sK31,sK16(sK31))),sK31)
| ~ empty(relation_rng_as_subset(the_carrier(sK16(sK31)),the_carrier(sK31),the_mapping(sK31,sK16(sK31))))
| ~ top_str(sK31)
| ~ topological_space(sK31)
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31)) ),
inference(superposition,[],[f581,f1508]) ).
fof(f2420,plain,
( ~ empty(relation_rng(the_InternalRel(sK16(sK31))))
| nowhere_dense(relation_rng(the_InternalRel(sK16(sK31))),sK16(sK31))
| ~ top_str(sK16(sK31))
| ~ topological_space(sK16(sK31))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(forward_demodulation,[],[f2405,f1288]) ).
fof(f2405,plain,
( nowhere_dense(relation_rng(the_InternalRel(sK16(sK31))),sK16(sK31))
| ~ empty(relation_rng_as_subset(the_carrier(sK16(sK31)),the_carrier(sK16(sK31)),the_InternalRel(sK16(sK31))))
| ~ top_str(sK16(sK31))
| ~ topological_space(sK16(sK31))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(superposition,[],[f581,f1288]) ).
fof(f2368,plain,
! [X2,X0,X1] :
( ~ relation_of2(X0,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| rel_str(net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1))) ),
inference(duplicate_literal_removal,[],[f2362]) ).
fof(f2362,plain,
! [X2,X0,X1] :
( ~ relation_of2(X0,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| rel_str(net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1)))
| ~ one_sorted_str(X2) ),
inference(resolution,[],[f1529,f276]) ).
fof(f2369,plain,
! [X2,X0,X1] :
( ~ relation_of2(X0,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| relation_rng(the_mapping(X2,net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1)))) = relation_rng_as_subset(the_carrier(net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1))),the_carrier(X2),the_mapping(X2,net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1)))) ),
inference(duplicate_literal_removal,[],[f2361]) ).
fof(f2361,plain,
! [X2,X0,X1] :
( ~ relation_of2(X0,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2)
| relation_rng(the_mapping(X2,net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1)))) = relation_rng_as_subset(the_carrier(net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1))),the_carrier(X2),the_mapping(X2,net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1)))) ),
inference(resolution,[],[f1529,f774]) ).
fof(f2327,plain,
! [X2,X0,X1] :
( ~ relation_of2(X0,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1)) = net_str_of(X2,the_carrier(net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1))),the_InternalRel(net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1))),the_mapping(X2,net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1))))
| ~ net_str(net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1)),X2) ),
inference(duplicate_literal_removal,[],[f2321]) ).
fof(f2321,plain,
! [X2,X0,X1] :
( ~ relation_of2(X0,the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1)) = net_str_of(X2,the_carrier(net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1))),the_InternalRel(net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1))),the_mapping(X2,net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1))))
| ~ net_str(net_str_of(X2,the_carrier(X1),X0,the_mapping(X2,X1)),X2)
| ~ one_sorted_str(X2) ),
inference(resolution,[],[f1496,f351]) ).
fof(f2269,plain,
( ~ empty(relation_rng(the_mapping(sK31,sK16(sK31))))
| boundary_set(relation_rng(the_mapping(sK31,sK16(sK31))),sK31)
| ~ top_str(sK31)
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31)) ),
inference(forward_demodulation,[],[f2253,f1508]) ).
fof(f2253,plain,
( boundary_set(relation_rng(the_mapping(sK31,sK16(sK31))),sK31)
| ~ empty(relation_rng_as_subset(the_carrier(sK16(sK31)),the_carrier(sK31),the_mapping(sK31,sK16(sK31))))
| ~ top_str(sK31)
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31)) ),
inference(superposition,[],[f446,f1508]) ).
fof(f2260,plain,
( ~ empty(relation_rng(the_InternalRel(sK16(sK31))))
| boundary_set(relation_rng(the_InternalRel(sK16(sK31))),sK16(sK31))
| ~ top_str(sK16(sK31))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(forward_demodulation,[],[f2249,f1288]) ).
fof(f2249,plain,
( boundary_set(relation_rng(the_InternalRel(sK16(sK31))),sK16(sK31))
| ~ empty(relation_rng_as_subset(the_carrier(sK16(sK31)),the_carrier(sK16(sK31)),the_InternalRel(sK16(sK31))))
| ~ top_str(sK16(sK31))
| ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
inference(superposition,[],[f446,f1288]) ).
fof(f2206,plain,
( element(relation_rng(the_mapping(sK31,sK16(sK31))),powerset(the_carrier(sK31)))
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31)) ),
inference(superposition,[],[f356,f1508]) ).
fof(f2204,plain,
( finite(topstr_closure(sK31,relation_rng(the_mapping(sK31,sK16(sK31)))))
| ~ top_str(sK31)
| ~ finite(the_carrier(sK31))
| ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31)) ),
inference(superposition,[],[f816,f1508]) ).
fof(f2119,plain,
! [X0,X1] :
( ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,sK4,sK9(sK28(sK7,X1))) = subnetstr_of_element(X0,sK4,sK9(sK28(sK7,X1)))
| in(sK28(sK7,X1),X1)
| sK7 = X1 ),
inference(resolution,[],[f1581,f353]) ).
fof(f2118,plain,
! [X0,X1] :
( ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,sK4,sK9(sK28(X1,sK7))) = subnetstr_of_element(X0,sK4,sK9(sK28(X1,sK7)))
| in(sK28(X1,sK7),X1)
| sK7 = X1 ),
inference(resolution,[],[f1581,f353]) ).
fof(f2102,plain,
! [X0] :
( ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,sK4,sK11(sK28(sK6,sK7))) = subnetstr_of_element(X0,sK4,sK11(sK28(sK6,sK7)))
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7)) ),
inference(subsumption_resolution,[],[f2095,f259]) ).
fof(f2095,plain,
! [X0] :
( ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,sK4,sK11(sK28(sK6,sK7))) = subnetstr_of_element(X0,sK4,sK11(sK28(sK6,sK7)))
| sK6 = sK7
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7)) ),
inference(resolution,[],[f1578,f474]) ).
fof(f2092,plain,
! [X0,X1] :
( ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,sK4,sK11(sK28(sK6,X1))) = subnetstr_of_element(X0,sK4,sK11(sK28(sK6,X1)))
| in(sK28(sK6,X1),X1)
| sK6 = X1 ),
inference(resolution,[],[f1578,f353]) ).
fof(f2091,plain,
! [X0,X1] :
( ~ net_str(sK4,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,sK4,sK11(sK28(X1,sK6))) = subnetstr_of_element(X0,sK4,sK11(sK28(X1,sK6)))
| in(sK28(X1,sK6),X1)
| sK6 = X1 ),
inference(resolution,[],[f1578,f353]) ).
fof(f1079,plain,
( sK28(sK7,sK6) = sK11(sK28(sK7,sK6))
| ~ spl33_5 ),
inference(resolution,[],[f627,f249]) ).
fof(f1110,plain,
( sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6)))
| ~ spl33_5 ),
inference(subsumption_resolution,[],[f1107,f259]) ).
fof(f1107,plain,
( sK6 = sK7
| sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6)))
| ~ spl33_5 ),
inference(resolution,[],[f646,f471]) ).
fof(f1109,plain,
( sK28(sK7,sK6) = sK11(sK28(sK7,sK6))
| ~ spl33_5 ),
inference(subsumption_resolution,[],[f1106,f259]) ).
fof(f1106,plain,
( sK6 = sK7
| sK28(sK7,sK6) = sK11(sK28(sK7,sK6))
| ~ spl33_5 ),
inference(resolution,[],[f646,f472]) ).
fof(f646,plain,
( ~ in(sK28(sK7,sK6),sK7)
| ~ spl33_5 ),
inference(subsumption_resolution,[],[f642,f259]) ).
fof(f642,plain,
( sK6 = sK7
| ~ in(sK28(sK7,sK6),sK7)
| ~ spl33_5 ),
inference(resolution,[],[f627,f354]) ).
fof(f645,plain,
( ~ in(sK6,sK28(sK7,sK6))
| ~ spl33_5 ),
inference(resolution,[],[f627,f329]) ).
fof(f1078,plain,
( sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6)))
| ~ spl33_5 ),
inference(resolution,[],[f627,f248]) ).
fof(f1080,plain,
( ~ in(sK6,sK28(sK7,sK6))
| ~ spl33_5 ),
inference(resolution,[],[f627,f329]) ).
fof(f1077,plain,
( sK10(sK28(sK7,sK6)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(sK28(sK7,sK6)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(sK28(sK7,sK6)))))
| ~ spl33_5 ),
inference(resolution,[],[f627,f250]) ).
fof(f1081,plain,
( ~ in(sK28(sK7,sK6),sK7)
| ~ spl33_5 ),
inference(subsumption_resolution,[],[f1076,f259]) ).
fof(f1076,plain,
( sK6 = sK7
| ~ in(sK28(sK7,sK6),sK7)
| ~ spl33_5 ),
inference(resolution,[],[f627,f354]) ).
fof(f627,plain,
( in(sK28(sK7,sK6),sK6)
| ~ spl33_5 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl33_5
<=> in(sK28(sK7,sK6),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_5])]) ).
fof(f2637,plain,
( ~ spl33_5
| spl33_6
| ~ spl33_104 ),
inference(avatar_contradiction_clause,[],[f2636]) ).
fof(f2636,plain,
( $false
| ~ spl33_5
| spl33_6
| ~ spl33_104 ),
inference(global_subsumption,[],[f2619,f344,f343,f362,f360,f367,f373,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f354,f472,f473,f474,f476,f536,f477,f546,f478,f556,f479,f493,f494,f486,f488,f298,f600,f601,f594,f595,f596,f503,f299,f623,f631,f624,f617,f513,f300,f669,f670,f665,f516,f517,f346,f347,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f475,f480,f439,f257,f795,f796,f738,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f847,f848,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f898,f900,f901,f902,f920,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f507,f567,f768,f1075,f566,f489,f627,f1081,f1077,f1080,f1078,f645,f646,f1109,f1110,f351,f1112,f368,f1150,f1079,f369,f334,f366,f858,f1255,f1259,f914,f1265,f836,f1253,f1114,f1281,f1282,f1278,f776,f1287,f361,f363,f1288,f1354,f1284,f743,f744,f861,f1392,f1395,f1397,f868,f1399,f1400,f922,f1402,f1176,f1403,f364,f1406,f1190,f1408,f1409,f1410,f1411,f1412,f774,f1419,f1417,f365,f1473,f1472,f1471,f1470,f816,f1490,f374,f1398,f1497,f1404,f1500,f1501,f1418,f1503,f1506,f1507,f375,f359,f372,f1665,f376,f1804,f1792,f377,f1846,f1834,f378,f1894,f1882,f379,f1944,f1932,f389,f391,f2087,f764,f547,f527,f1578,f2091,f2092,f2102,f1581,f2118,f2119,f919,f1508,f2204,f2206,f446,f2260,f2269,f1496,f2327,f1499,f1502,f1529,f2369,f2368,f581,f2420,f2433,f1353,f604,f2484,f2498,f2205,f650,f2561,f846,f2582,f2583,f2585,f2581,f2106,f2104,f2633]) ).
fof(f2619,plain,
( netstr_induced_subset(sK10(sK28(sK7,sK6)),sK3,sK4)
| ~ spl33_104 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f2618,plain,
( spl33_104
<=> netstr_induced_subset(sK10(sK28(sK7,sK6)),sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_104])]) ).
fof(f2635,plain,
( ~ spl33_5
| spl33_6 ),
inference(avatar_contradiction_clause,[],[f2634]) ).
fof(f2634,plain,
( $false
| ~ spl33_5
| spl33_6 ),
inference(global_subsumption,[],[f344,f343,f362,f360,f367,f373,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f354,f472,f473,f474,f476,f536,f477,f546,f478,f556,f479,f493,f494,f486,f488,f298,f600,f601,f594,f595,f596,f503,f299,f623,f631,f624,f617,f513,f300,f669,f670,f665,f516,f517,f346,f347,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f475,f480,f439,f257,f795,f796,f738,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f847,f848,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f898,f900,f901,f902,f920,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f507,f567,f768,f1075,f566,f489,f627,f1081,f1077,f1080,f1078,f645,f646,f1109,f1110,f351,f1112,f368,f1150,f1079,f369,f334,f366,f858,f1255,f1259,f914,f1265,f836,f1253,f1114,f1281,f1282,f1278,f776,f1287,f361,f363,f1288,f1354,f1284,f743,f744,f861,f1392,f1395,f1397,f868,f1399,f1400,f922,f1402,f1176,f1403,f364,f1406,f1190,f1408,f1409,f1410,f1411,f1412,f774,f1419,f1417,f365,f1473,f1472,f1471,f1470,f816,f1490,f374,f1398,f1497,f1404,f1500,f1501,f1418,f1503,f1506,f1507,f375,f359,f372,f1665,f376,f1804,f1792,f377,f1846,f1834,f378,f1894,f1882,f379,f1944,f1932,f389,f391,f2087,f764,f547,f527,f1578,f2091,f2092,f2102,f1581,f2118,f2119,f919,f1508,f2204,f2206,f446,f2260,f2269,f1496,f2327,f1499,f1502,f1529,f2369,f2368,f581,f2420,f2433,f1353,f604,f2484,f2498,f2205,f650,f2561,f846,f2582,f2583,f2585,f2581,f2106,f2104,f2633]) ).
fof(f2629,plain,
( ~ spl33_5
| spl33_104 ),
inference(avatar_contradiction_clause,[],[f2628]) ).
fof(f2628,plain,
( $false
| ~ spl33_5
| spl33_104 ),
inference(subsumption_resolution,[],[f2627,f627]) ).
fof(f2627,plain,
( ~ in(sK28(sK7,sK6),sK6)
| spl33_104 ),
inference(resolution,[],[f2620,f246]) ).
fof(f2620,plain,
( ~ netstr_induced_subset(sK10(sK28(sK7,sK6)),sK3,sK4)
| spl33_104 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f2625,plain,
( ~ spl33_5
| spl33_103 ),
inference(avatar_contradiction_clause,[],[f2624]) ).
fof(f2624,plain,
( $false
| ~ spl33_5
| spl33_103 ),
inference(subsumption_resolution,[],[f2623,f627]) ).
fof(f2623,plain,
( ~ in(sK28(sK7,sK6),sK6)
| spl33_103 ),
inference(resolution,[],[f2616,f245]) ).
fof(f2616,plain,
( ~ in(sK28(sK7,sK6),the_carrier(sK4))
| spl33_103 ),
inference(avatar_component_clause,[],[f2614]) ).
fof(f2614,plain,
( spl33_103
<=> in(sK28(sK7,sK6),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_103])]) ).
fof(f2621,plain,
( ~ spl33_103
| ~ spl33_104
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6 ),
inference(avatar_split_clause,[],[f2598,f630,f626,f577,f2618,f2614]) ).
fof(f577,plain,
( spl33_4
<=> sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).
fof(f2598,plain,
( ~ netstr_induced_subset(sK10(sK28(sK7,sK6)),sK3,sK4)
| ~ in(sK28(sK7,sK6),the_carrier(sK4))
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6 ),
inference(forward_demodulation,[],[f2597,f2581]) ).
fof(f2597,plain,
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK7,sK6))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK7,sK6)))),sK3,sK4)
| ~ in(sK28(sK7,sK6),the_carrier(sK4))
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6 ),
inference(subsumption_resolution,[],[f2596,f632]) ).
fof(f632,plain,
( element(sK28(sK7,sK6),the_carrier(sK4))
| ~ spl33_6 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f2596,plain,
( ~ element(sK28(sK7,sK6),the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK7,sK6))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK7,sK6)))),sK3,sK4)
| ~ in(sK28(sK7,sK6),the_carrier(sK4))
| ~ spl33_4
| ~ spl33_5 ),
inference(subsumption_resolution,[],[f2595,f646]) ).
fof(f2595,plain,
( in(sK28(sK7,sK6),sK7)
| ~ element(sK28(sK7,sK6),the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK7,sK6))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK7,sK6)))),sK3,sK4)
| ~ in(sK28(sK7,sK6),the_carrier(sK4))
| ~ spl33_4
| ~ spl33_5 ),
inference(subsumption_resolution,[],[f2587,f579]) ).
fof(f579,plain,
( sK5 = topstr_closure(sK3,sK10(sK28(sK7,sK6)))
| ~ spl33_4 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f2587,plain,
( sK5 != topstr_closure(sK3,sK10(sK28(sK7,sK6)))
| in(sK28(sK7,sK6),sK7)
| ~ element(sK28(sK7,sK6),the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK7,sK6))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK7,sK6)))),sK3,sK4)
| ~ in(sK28(sK7,sK6),the_carrier(sK4))
| ~ spl33_5 ),
inference(superposition,[],[f389,f2581]) ).
fof(f2570,plain,
spl33_101,
inference(avatar_contradiction_clause,[],[f2569]) ).
fof(f2569,plain,
( $false
| spl33_101 ),
inference(subsumption_resolution,[],[f2568,f384]) ).
fof(f2568,plain,
( ~ one_sorted_str(sK31)
| spl33_101 ),
inference(resolution,[],[f2567,f277]) ).
fof(f2567,plain,
( ~ net_str(sK16(sK31),sK31)
| spl33_101 ),
inference(subsumption_resolution,[],[f2566,f384]) ).
fof(f2566,plain,
( ~ one_sorted_str(sK31)
| ~ net_str(sK16(sK31),sK31)
| spl33_101 ),
inference(resolution,[],[f2523,f470]) ).
fof(f2523,plain,
( ~ relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31))
| spl33_101 ),
inference(avatar_component_clause,[],[f2521]) ).
fof(f2521,plain,
( spl33_101
<=> relation_of2(the_mapping(sK31,sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_101])]) ).
fof(f2528,plain,
( ~ spl33_100
| ~ spl33_101
| spl33_102 ),
inference(avatar_split_clause,[],[f2205,f2525,f2521,f2517]) ).
fof(f2517,plain,
( spl33_100
<=> finite(the_carrier(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_100])]) ).
fof(f2525,plain,
( spl33_102
<=> finite(relation_rng(the_mapping(sK31,sK16(sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_102])]) ).
fof(f2505,plain,
spl33_98,
inference(avatar_contradiction_clause,[],[f2504]) ).
fof(f2504,plain,
( $false
| spl33_98 ),
inference(subsumption_resolution,[],[f2503,f384]) ).
fof(f2503,plain,
( ~ one_sorted_str(sK31)
| spl33_98 ),
inference(resolution,[],[f2502,f403]) ).
fof(f2502,plain,
( ~ rel_str(sK16(sK31))
| spl33_98 ),
inference(resolution,[],[f2458,f430]) ).
fof(f2458,plain,
( ~ relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31)))
| spl33_98 ),
inference(avatar_component_clause,[],[f2456]) ).
fof(f2456,plain,
( spl33_98
<=> relation_of2(the_InternalRel(sK16(sK31)),the_carrier(sK16(sK31)),the_carrier(sK16(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_98])]) ).
fof(f2463,plain,
( ~ spl33_97
| ~ spl33_98
| spl33_99 ),
inference(avatar_split_clause,[],[f1353,f2460,f2456,f2452]) ).
fof(f2452,plain,
( spl33_97
<=> finite(the_carrier(sK16(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_97])]) ).
fof(f2460,plain,
( spl33_99
<=> finite(relation_rng(the_InternalRel(sK16(sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_99])]) ).
fof(f2440,plain,
( ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58
| spl33_95 ),
inference(avatar_contradiction_clause,[],[f2439]) ).
fof(f2439,plain,
( $false
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58
| spl33_95 ),
inference(subsumption_resolution,[],[f2438,f1977]) ).
fof(f1977,plain,
( one_sorted_str(sK16(sK4))
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(resolution,[],[f1975,f269]) ).
fof(f1975,plain,
( rel_str(sK16(sK4))
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(subsumption_resolution,[],[f1974,f1329]) ).
fof(f1329,plain,
( relation_of2(the_InternalRel(sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| ~ spl33_39 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1328,plain,
( spl33_39
<=> relation_of2(the_InternalRel(sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK16(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_39])]) ).
fof(f1974,plain,
( rel_str(sK16(sK4))
| ~ relation_of2(the_InternalRel(sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| ~ spl33_2
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(superposition,[],[f1968,f1280]) ).
fof(f1280,plain,
( sK16(sK4) = net_str_of(sK4,the_carrier(sK16(sK4)),the_InternalRel(sK16(sK4)),the_mapping(sK4,sK16(sK4)))
| ~ spl33_2 ),
inference(resolution,[],[f1114,f416]) ).
fof(f416,plain,
( one_sorted_str(sK4)
| ~ spl33_2 ),
inference(resolution,[],[f411,f269]) ).
fof(f411,plain,
( rel_str(sK4)
| ~ spl33_2 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f409,plain,
( spl33_2
<=> rel_str(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_2])]) ).
fof(f1968,plain,
( ! [X0] :
( rel_str(net_str_of(sK4,the_carrier(sK16(sK4)),X0,the_mapping(sK4,sK16(sK4))))
| ~ relation_of2(X0,the_carrier(sK16(sK4)),the_carrier(sK16(sK4))) )
| ~ spl33_2
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(subsumption_resolution,[],[f1965,f416]) ).
fof(f1965,plain,
( ! [X0] :
( ~ relation_of2(X0,the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| rel_str(net_str_of(sK4,the_carrier(sK16(sK4)),X0,the_mapping(sK4,sK16(sK4))))
| ~ one_sorted_str(sK4) )
| ~ spl33_2
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(resolution,[],[f1733,f276]) ).
fof(f1733,plain,
( ! [X0] :
( net_str(net_str_of(sK4,the_carrier(sK16(sK4)),X0,the_mapping(sK4,sK16(sK4))),sK4)
| ~ relation_of2(X0,the_carrier(sK16(sK4)),the_carrier(sK16(sK4))) )
| ~ spl33_2
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(subsumption_resolution,[],[f1732,f416]) ).
fof(f1732,plain,
( ! [X0] :
( net_str(net_str_of(sK4,the_carrier(sK16(sK4)),X0,the_mapping(sK4,sK16(sK4))),sK4)
| ~ relation_of2(X0,the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| ~ one_sorted_str(sK4) )
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(subsumption_resolution,[],[f1731,f1708]) ).
fof(f1708,plain,
( function(the_mapping(sK4,sK16(sK4)))
| ~ spl33_57 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f1707,plain,
( spl33_57
<=> function(the_mapping(sK4,sK16(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_57])]) ).
fof(f1731,plain,
( ! [X0] :
( net_str(net_str_of(sK4,the_carrier(sK16(sK4)),X0,the_mapping(sK4,sK16(sK4))),sK4)
| ~ function(the_mapping(sK4,sK16(sK4)))
| ~ relation_of2(X0,the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| ~ one_sorted_str(sK4) )
| ~ spl33_52
| ~ spl33_58 ),
inference(subsumption_resolution,[],[f1729,f1565]) ).
fof(f1565,plain,
( relation_of2(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ spl33_52 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f1564,plain,
( spl33_52
<=> relation_of2(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_52])]) ).
fof(f1729,plain,
( ! [X0] :
( ~ relation_of2(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| net_str(net_str_of(sK4,the_carrier(sK16(sK4)),X0,the_mapping(sK4,sK16(sK4))),sK4)
| ~ function(the_mapping(sK4,sK16(sK4)))
| ~ relation_of2(X0,the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| ~ one_sorted_str(sK4) )
| ~ spl33_58 ),
inference(resolution,[],[f1712,f375]) ).
fof(f1712,plain,
( quasi_total(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ spl33_58 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1711,plain,
( spl33_58
<=> quasi_total(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_58])]) ).
fof(f2438,plain,
( ~ one_sorted_str(sK16(sK4))
| spl33_95 ),
inference(resolution,[],[f2437,f403]) ).
fof(f2437,plain,
( ~ rel_str(sK16(sK16(sK4)))
| spl33_95 ),
inference(resolution,[],[f2394,f430]) ).
fof(f2394,plain,
( ~ relation_of2(the_InternalRel(sK16(sK16(sK4))),the_carrier(sK16(sK16(sK4))),the_carrier(sK16(sK16(sK4))))
| spl33_95 ),
inference(avatar_component_clause,[],[f2392]) ).
fof(f2392,plain,
( spl33_95
<=> relation_of2(the_InternalRel(sK16(sK16(sK4))),the_carrier(sK16(sK16(sK4))),the_carrier(sK16(sK16(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_95])]) ).
fof(f2399,plain,
( ~ spl33_94
| ~ spl33_95
| spl33_96
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f2196,f1711,f1707,f1564,f1328,f409,f2396,f2392,f2388]) ).
fof(f2388,plain,
( spl33_94
<=> finite(the_carrier(sK16(sK16(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_94])]) ).
fof(f2396,plain,
( spl33_96
<=> finite(relation_rng(the_InternalRel(sK16(sK16(sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_96])]) ).
fof(f2196,plain,
( finite(relation_rng(the_InternalRel(sK16(sK16(sK4)))))
| ~ relation_of2(the_InternalRel(sK16(sK16(sK4))),the_carrier(sK16(sK16(sK4))),the_carrier(sK16(sK16(sK4))))
| ~ finite(the_carrier(sK16(sK16(sK4))))
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(superposition,[],[f441,f1979]) ).
fof(f1979,plain,
( relation_rng_as_subset(the_carrier(sK16(sK16(sK4))),the_carrier(sK16(sK16(sK4))),the_InternalRel(sK16(sK16(sK4)))) = relation_rng(the_InternalRel(sK16(sK16(sK4))))
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(resolution,[],[f1977,f776]) ).
fof(f2376,plain,
( ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55
| spl33_92 ),
inference(avatar_contradiction_clause,[],[f2375]) ).
fof(f2375,plain,
( $false
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55
| spl33_92 ),
inference(subsumption_resolution,[],[f2374,f1923]) ).
fof(f1923,plain,
( one_sorted_str(sK16(sK3))
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(resolution,[],[f1921,f269]) ).
fof(f1921,plain,
( rel_str(sK16(sK3))
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(subsumption_resolution,[],[f1920,f1299]) ).
fof(f1299,plain,
( relation_of2(the_InternalRel(sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| ~ spl33_36 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1298,plain,
( spl33_36
<=> relation_of2(the_InternalRel(sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK16(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_36])]) ).
fof(f1920,plain,
( rel_str(sK16(sK3))
| ~ relation_of2(the_InternalRel(sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| ~ spl33_1
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(superposition,[],[f1914,f1279]) ).
fof(f1279,plain,
( sK16(sK3) = net_str_of(sK3,the_carrier(sK16(sK3)),the_InternalRel(sK16(sK3)),the_mapping(sK3,sK16(sK3)))
| ~ spl33_1 ),
inference(resolution,[],[f1114,f406]) ).
fof(f406,plain,
( one_sorted_str(sK3)
| ~ spl33_1 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f405,plain,
( spl33_1
<=> one_sorted_str(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).
fof(f1914,plain,
( ! [X0] :
( rel_str(net_str_of(sK3,the_carrier(sK16(sK3)),X0,the_mapping(sK3,sK16(sK3))))
| ~ relation_of2(X0,the_carrier(sK16(sK3)),the_carrier(sK16(sK3))) )
| ~ spl33_1
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(subsumption_resolution,[],[f1911,f406]) ).
fof(f1911,plain,
( ! [X0] :
( ~ relation_of2(X0,the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| rel_str(net_str_of(sK3,the_carrier(sK16(sK3)),X0,the_mapping(sK3,sK16(sK3))))
| ~ one_sorted_str(sK3) )
| ~ spl33_1
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(resolution,[],[f1702,f276]) ).
fof(f1702,plain,
( ! [X0] :
( net_str(net_str_of(sK3,the_carrier(sK16(sK3)),X0,the_mapping(sK3,sK16(sK3))),sK3)
| ~ relation_of2(X0,the_carrier(sK16(sK3)),the_carrier(sK16(sK3))) )
| ~ spl33_1
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(subsumption_resolution,[],[f1701,f406]) ).
fof(f1701,plain,
( ! [X0] :
( net_str(net_str_of(sK3,the_carrier(sK16(sK3)),X0,the_mapping(sK3,sK16(sK3))),sK3)
| ~ relation_of2(X0,the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| ~ one_sorted_str(sK3) )
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(subsumption_resolution,[],[f1700,f1677]) ).
fof(f1677,plain,
( function(the_mapping(sK3,sK16(sK3)))
| ~ spl33_54 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f1676,plain,
( spl33_54
<=> function(the_mapping(sK3,sK16(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_54])]) ).
fof(f1700,plain,
( ! [X0] :
( net_str(net_str_of(sK3,the_carrier(sK16(sK3)),X0,the_mapping(sK3,sK16(sK3))),sK3)
| ~ function(the_mapping(sK3,sK16(sK3)))
| ~ relation_of2(X0,the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| ~ one_sorted_str(sK3) )
| ~ spl33_48
| ~ spl33_55 ),
inference(subsumption_resolution,[],[f1698,f1517]) ).
fof(f1517,plain,
( relation_of2(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ spl33_48 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1516,plain,
( spl33_48
<=> relation_of2(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_48])]) ).
fof(f1698,plain,
( ! [X0] :
( ~ relation_of2(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| net_str(net_str_of(sK3,the_carrier(sK16(sK3)),X0,the_mapping(sK3,sK16(sK3))),sK3)
| ~ function(the_mapping(sK3,sK16(sK3)))
| ~ relation_of2(X0,the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| ~ one_sorted_str(sK3) )
| ~ spl33_55 ),
inference(resolution,[],[f1681,f375]) ).
fof(f1681,plain,
( quasi_total(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ spl33_55 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f1680,plain,
( spl33_55
<=> quasi_total(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_55])]) ).
fof(f2374,plain,
( ~ one_sorted_str(sK16(sK3))
| spl33_92 ),
inference(resolution,[],[f2373,f403]) ).
fof(f2373,plain,
( ~ rel_str(sK16(sK16(sK3)))
| spl33_92 ),
inference(resolution,[],[f2355,f430]) ).
fof(f2355,plain,
( ~ relation_of2(the_InternalRel(sK16(sK16(sK3))),the_carrier(sK16(sK16(sK3))),the_carrier(sK16(sK16(sK3))))
| spl33_92 ),
inference(avatar_component_clause,[],[f2353]) ).
fof(f2353,plain,
( spl33_92
<=> relation_of2(the_InternalRel(sK16(sK16(sK3))),the_carrier(sK16(sK16(sK3))),the_carrier(sK16(sK16(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_92])]) ).
fof(f2360,plain,
( ~ spl33_91
| ~ spl33_92
| spl33_93
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f1956,f1680,f1676,f1516,f1298,f405,f2357,f2353,f2349]) ).
fof(f2349,plain,
( spl33_91
<=> finite(the_carrier(sK16(sK16(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_91])]) ).
fof(f2357,plain,
( spl33_93
<=> finite(relation_rng(the_InternalRel(sK16(sK16(sK3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_93])]) ).
fof(f1956,plain,
( finite(relation_rng(the_InternalRel(sK16(sK16(sK3)))))
| ~ relation_of2(the_InternalRel(sK16(sK16(sK3))),the_carrier(sK16(sK16(sK3))),the_carrier(sK16(sK16(sK3))))
| ~ finite(the_carrier(sK16(sK16(sK3))))
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(superposition,[],[f441,f1925]) ).
fof(f1925,plain,
( relation_rng_as_subset(the_carrier(sK16(sK16(sK3))),the_carrier(sK16(sK16(sK3))),the_InternalRel(sK16(sK16(sK3)))) = relation_rng(the_InternalRel(sK16(sK16(sK3))))
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(resolution,[],[f1923,f776]) ).
fof(f2336,plain,
( spl33_89
| ~ spl33_90
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f2298,f1711,f1707,f1564,f1328,f409,f2333,f2329]) ).
fof(f2329,plain,
( spl33_89
<=> sK4 = sK16(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_89])]) ).
fof(f2333,plain,
( spl33_90
<=> sK16(sK4) = sK16(sK16(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_90])]) ).
fof(f2298,plain,
( sK16(sK4) != sK16(sK16(sK4))
| sK4 = sK16(sK4)
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(superposition,[],[f1803,f1980]) ).
fof(f1980,plain,
( sK16(sK16(sK4)) = net_str_of(sK16(sK4),the_carrier(sK16(sK16(sK4))),the_InternalRel(sK16(sK16(sK4))),the_mapping(sK16(sK4),sK16(sK16(sK4))))
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(resolution,[],[f1977,f1114]) ).
fof(f1803,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK4)
| sK4 = X0 )
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(subsumption_resolution,[],[f1802,f416]) ).
fof(f1802,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK4)
| sK4 = X0
| ~ one_sorted_str(sK4) )
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(subsumption_resolution,[],[f1801,f1329]) ).
fof(f1801,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK4)
| sK4 = X0
| ~ relation_of2(the_InternalRel(sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| ~ one_sorted_str(sK4) )
| ~ spl33_2
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(subsumption_resolution,[],[f1800,f1708]) ).
fof(f1800,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK4)
| sK4 = X0
| ~ function(the_mapping(sK4,sK16(sK4)))
| ~ relation_of2(the_InternalRel(sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| ~ one_sorted_str(sK4) )
| ~ spl33_2
| ~ spl33_52
| ~ spl33_58 ),
inference(subsumption_resolution,[],[f1799,f1712]) ).
fof(f1799,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK4)
| sK4 = X0
| ~ quasi_total(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK16(sK4)))
| ~ relation_of2(the_InternalRel(sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| ~ one_sorted_str(sK4) )
| ~ spl33_2
| ~ spl33_52 ),
inference(subsumption_resolution,[],[f1788,f1565]) ).
fof(f1788,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK4)
| sK4 = X0
| ~ relation_of2(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ quasi_total(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK16(sK4)))
| ~ relation_of2(the_InternalRel(sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| ~ one_sorted_str(sK4) )
| ~ spl33_2 ),
inference(superposition,[],[f376,f1280]) ).
fof(f2320,plain,
( spl33_87
| ~ spl33_88
| ~ spl33_1
| ~ spl33_2
| ~ spl33_36
| ~ spl33_39
| ~ spl33_48
| ~ spl33_52
| ~ spl33_54
| ~ spl33_55
| ~ spl33_57
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f2297,f1711,f1707,f1680,f1676,f1564,f1516,f1328,f1298,f409,f405,f2317,f2313]) ).
fof(f2313,plain,
( spl33_87
<=> sK3 = sK16(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_87])]) ).
fof(f2317,plain,
( spl33_88
<=> sK16(sK3) = sK16(sK16(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_88])]) ).
fof(f2297,plain,
( sK16(sK3) != sK16(sK16(sK4))
| sK3 = sK16(sK4)
| ~ spl33_1
| ~ spl33_2
| ~ spl33_36
| ~ spl33_39
| ~ spl33_48
| ~ spl33_52
| ~ spl33_54
| ~ spl33_55
| ~ spl33_57
| ~ spl33_58 ),
inference(superposition,[],[f1798,f1980]) ).
fof(f1798,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK3)
| sK3 = X0 )
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(subsumption_resolution,[],[f1797,f406]) ).
fof(f1797,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK3)
| sK3 = X0
| ~ one_sorted_str(sK3) )
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(subsumption_resolution,[],[f1796,f1299]) ).
fof(f1796,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK3)
| sK3 = X0
| ~ relation_of2(the_InternalRel(sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| ~ one_sorted_str(sK3) )
| ~ spl33_1
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(subsumption_resolution,[],[f1795,f1677]) ).
fof(f1795,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK3)
| sK3 = X0
| ~ function(the_mapping(sK3,sK16(sK3)))
| ~ relation_of2(the_InternalRel(sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| ~ one_sorted_str(sK3) )
| ~ spl33_1
| ~ spl33_48
| ~ spl33_55 ),
inference(subsumption_resolution,[],[f1794,f1681]) ).
fof(f1794,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK3)
| sK3 = X0
| ~ quasi_total(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ function(the_mapping(sK3,sK16(sK3)))
| ~ relation_of2(the_InternalRel(sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| ~ one_sorted_str(sK3) )
| ~ spl33_1
| ~ spl33_48 ),
inference(subsumption_resolution,[],[f1787,f1517]) ).
fof(f1787,plain,
( ! [X2,X3,X0,X1] :
( net_str_of(X0,X1,X2,X3) != sK16(sK3)
| sK3 = X0
| ~ relation_of2(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ quasi_total(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ function(the_mapping(sK3,sK16(sK3)))
| ~ relation_of2(the_InternalRel(sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| ~ one_sorted_str(sK3) )
| ~ spl33_1 ),
inference(superposition,[],[f376,f1279]) ).
fof(f2287,plain,
( spl33_85
| ~ spl33_86
| ~ spl33_1
| ~ spl33_2
| ~ spl33_36
| ~ spl33_39
| ~ spl33_48
| ~ spl33_52
| ~ spl33_54
| ~ spl33_55
| ~ spl33_57
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f2230,f1711,f1707,f1680,f1676,f1564,f1516,f1328,f1298,f409,f405,f2284,f2280]) ).
fof(f2280,plain,
( spl33_85
<=> sK4 = sK16(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_85])]) ).
fof(f2284,plain,
( spl33_86
<=> sK16(sK4) = sK16(sK16(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_86])]) ).
fof(f2230,plain,
( sK16(sK4) != sK16(sK16(sK3))
| sK4 = sK16(sK3)
| ~ spl33_1
| ~ spl33_2
| ~ spl33_36
| ~ spl33_39
| ~ spl33_48
| ~ spl33_52
| ~ spl33_54
| ~ spl33_55
| ~ spl33_57
| ~ spl33_58 ),
inference(superposition,[],[f1803,f1926]) ).
fof(f1926,plain,
( sK16(sK16(sK3)) = net_str_of(sK16(sK3),the_carrier(sK16(sK16(sK3))),the_InternalRel(sK16(sK16(sK3))),the_mapping(sK16(sK3),sK16(sK16(sK3))))
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(resolution,[],[f1923,f1114]) ).
fof(f2278,plain,
( spl33_83
| ~ spl33_84
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f2229,f1680,f1676,f1516,f1298,f405,f2275,f2271]) ).
fof(f2271,plain,
( spl33_83
<=> sK3 = sK16(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_83])]) ).
fof(f2275,plain,
( spl33_84
<=> sK16(sK3) = sK16(sK16(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_84])]) ).
fof(f2229,plain,
( sK16(sK3) != sK16(sK16(sK3))
| sK3 = sK16(sK3)
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(superposition,[],[f1798,f1926]) ).
fof(f2219,plain,
( spl33_80
| ~ spl33_81
| ~ spl33_82
| ~ spl33_49 ),
inference(avatar_split_clause,[],[f1549,f1520,f2216,f2212,f2208]) ).
fof(f2208,plain,
( spl33_80
<=> sP0(sK3,relation_rng(the_mapping(sK3,sK16(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_80])]) ).
fof(f2212,plain,
( spl33_81
<=> open_subset(relation_rng(the_mapping(sK3,sK16(sK3))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_81])]) ).
fof(f2216,plain,
( spl33_82
<=> nowhere_dense(relation_rng(the_mapping(sK3,sK16(sK3))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_82])]) ).
fof(f1520,plain,
( spl33_49
<=> element(relation_rng(the_mapping(sK3,sK16(sK3))),powerset(the_carrier(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_49])]) ).
fof(f1549,plain,
( ~ nowhere_dense(relation_rng(the_mapping(sK3,sK16(sK3))),sK3)
| ~ open_subset(relation_rng(the_mapping(sK3,sK16(sK3))),sK3)
| sP0(sK3,relation_rng(the_mapping(sK3,sK16(sK3))))
| ~ spl33_49 ),
inference(subsumption_resolution,[],[f1548,f239]) ).
fof(f1548,plain,
( ~ nowhere_dense(relation_rng(the_mapping(sK3,sK16(sK3))),sK3)
| ~ open_subset(relation_rng(the_mapping(sK3,sK16(sK3))),sK3)
| sP0(sK3,relation_rng(the_mapping(sK3,sK16(sK3))))
| ~ topological_space(sK3)
| ~ spl33_49 ),
inference(subsumption_resolution,[],[f1537,f240]) ).
fof(f1537,plain,
( ~ nowhere_dense(relation_rng(the_mapping(sK3,sK16(sK3))),sK3)
| ~ open_subset(relation_rng(the_mapping(sK3,sK16(sK3))),sK3)
| sP0(sK3,relation_rng(the_mapping(sK3,sK16(sK3))))
| ~ top_str(sK3)
| ~ topological_space(sK3)
| ~ spl33_49 ),
inference(resolution,[],[f1522,f307]) ).
fof(f1522,plain,
( element(relation_rng(the_mapping(sK3,sK16(sK3))),powerset(the_carrier(sK3)))
| ~ spl33_49 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f2163,plain,
( spl33_77
| ~ spl33_78
| ~ spl33_79
| ~ spl33_1
| ~ spl33_69 ),
inference(avatar_split_clause,[],[f2054,f1991,f405,f2160,f2156,f2152]) ).
fof(f2152,plain,
( spl33_77
<=> sP0(sK3,sK10(sK28(sK6,sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_77])]) ).
fof(f2156,plain,
( spl33_78
<=> open_subset(sK10(sK28(sK6,sK7)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_78])]) ).
fof(f2160,plain,
( spl33_79
<=> nowhere_dense(sK10(sK28(sK6,sK7)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_79])]) ).
fof(f1991,plain,
( spl33_69
<=> netstr_induced_subset(sK10(sK28(sK6,sK7)),sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_69])]) ).
fof(f2054,plain,
( ~ nowhere_dense(sK10(sK28(sK6,sK7)),sK3)
| ~ open_subset(sK10(sK28(sK6,sK7)),sK3)
| sP0(sK3,sK10(sK28(sK6,sK7)))
| ~ spl33_1
| ~ spl33_69 ),
inference(subsumption_resolution,[],[f2053,f239]) ).
fof(f2053,plain,
( ~ nowhere_dense(sK10(sK28(sK6,sK7)),sK3)
| ~ open_subset(sK10(sK28(sK6,sK7)),sK3)
| sP0(sK3,sK10(sK28(sK6,sK7)))
| ~ topological_space(sK3)
| ~ spl33_1
| ~ spl33_69 ),
inference(subsumption_resolution,[],[f2042,f240]) ).
fof(f2042,plain,
( ~ nowhere_dense(sK10(sK28(sK6,sK7)),sK3)
| ~ open_subset(sK10(sK28(sK6,sK7)),sK3)
| sP0(sK3,sK10(sK28(sK6,sK7)))
| ~ top_str(sK3)
| ~ topological_space(sK3)
| ~ spl33_1
| ~ spl33_69 ),
inference(resolution,[],[f2018,f307]) ).
fof(f2018,plain,
( element(sK10(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ spl33_1
| ~ spl33_69 ),
inference(subsumption_resolution,[],[f2017,f238]) ).
fof(f2017,plain,
( element(sK10(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| empty_carrier(sK3)
| ~ spl33_1
| ~ spl33_69 ),
inference(subsumption_resolution,[],[f2016,f406]) ).
fof(f2016,plain,
( element(sK10(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl33_69 ),
inference(subsumption_resolution,[],[f2015,f241]) ).
fof(f2015,plain,
( element(sK10(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| empty_carrier(sK4)
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl33_69 ),
inference(subsumption_resolution,[],[f2014,f244]) ).
fof(f2014,plain,
( element(sK10(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ net_str(sK4,sK3)
| empty_carrier(sK4)
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl33_69 ),
inference(resolution,[],[f1992,f345]) ).
fof(f1992,plain,
( netstr_induced_subset(sK10(sK28(sK6,sK7)),sK3,sK4)
| ~ spl33_69 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f2144,plain,
( spl33_74
| ~ spl33_75
| ~ spl33_76
| ~ spl33_18 ),
inference(avatar_split_clause,[],[f2035,f1047,f2141,f2137,f2133]) ).
fof(f2133,plain,
( spl33_74
<=> sP0(sK3,sK8(sK28(sK6,sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_74])]) ).
fof(f2137,plain,
( spl33_75
<=> open_subset(sK8(sK28(sK6,sK7)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_75])]) ).
fof(f2141,plain,
( spl33_76
<=> nowhere_dense(sK8(sK28(sK6,sK7)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_76])]) ).
fof(f1047,plain,
( spl33_18
<=> element(sK8(sK28(sK6,sK7)),powerset(the_carrier(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_18])]) ).
fof(f2035,plain,
( ~ nowhere_dense(sK8(sK28(sK6,sK7)),sK3)
| ~ open_subset(sK8(sK28(sK6,sK7)),sK3)
| sP0(sK3,sK8(sK28(sK6,sK7)))
| ~ spl33_18 ),
inference(subsumption_resolution,[],[f2034,f239]) ).
fof(f2034,plain,
( ~ nowhere_dense(sK8(sK28(sK6,sK7)),sK3)
| ~ open_subset(sK8(sK28(sK6,sK7)),sK3)
| sP0(sK3,sK8(sK28(sK6,sK7)))
| ~ topological_space(sK3)
| ~ spl33_18 ),
inference(subsumption_resolution,[],[f2023,f240]) ).
fof(f2023,plain,
( ~ nowhere_dense(sK8(sK28(sK6,sK7)),sK3)
| ~ open_subset(sK8(sK28(sK6,sK7)),sK3)
| sP0(sK3,sK8(sK28(sK6,sK7)))
| ~ top_str(sK3)
| ~ topological_space(sK3)
| ~ spl33_18 ),
inference(resolution,[],[f1048,f307]) ).
fof(f1048,plain,
( element(sK8(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ spl33_18 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f2086,plain,
( ~ spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_68
| ~ spl33_69 ),
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2085,plain,
( $false
| ~ spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_68
| ~ spl33_69 ),
inference(subsumption_resolution,[],[f2084,f684]) ).
fof(f684,plain,
( in(sK28(sK6,sK7),sK6)
| ~ spl33_9 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f2084,plain,
( ~ in(sK28(sK6,sK7),sK6)
| ~ spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_68
| ~ spl33_69 ),
inference(subsumption_resolution,[],[f2079,f259]) ).
fof(f2079,plain,
( sK6 = sK7
| ~ in(sK28(sK6,sK7),sK6)
| ~ spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_68
| ~ spl33_69 ),
inference(resolution,[],[f2078,f354]) ).
fof(f2078,plain,
( in(sK28(sK6,sK7),sK7)
| ~ spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_68
| ~ spl33_69 ),
inference(subsumption_resolution,[],[f2005,f1992]) ).
fof(f2005,plain,
( ~ netstr_induced_subset(sK10(sK28(sK6,sK7)),sK3,sK4)
| in(sK28(sK6,sK7),sK7)
| ~ spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_68 ),
inference(forward_demodulation,[],[f2004,f766]) ).
fof(f766,plain,
( sK10(sK28(sK6,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))))
| ~ spl33_9 ),
inference(forward_demodulation,[],[f758,f718]) ).
fof(f718,plain,
( sK28(sK6,sK7) = sK11(sK28(sK6,sK7))
| ~ spl33_9 ),
inference(resolution,[],[f684,f249]) ).
fof(f758,plain,
( sK10(sK28(sK6,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK11(sK28(sK6,sK7)))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK11(sK28(sK6,sK7)))))
| ~ spl33_9 ),
inference(resolution,[],[f250,f684]) ).
fof(f2004,plain,
( in(sK28(sK6,sK7),sK7)
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))),sK3,sK4)
| ~ spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_68 ),
inference(subsumption_resolution,[],[f2003,f1988]) ).
fof(f2003,plain,
( in(sK28(sK6,sK7),sK7)
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))),sK3,sK4)
| ~ in(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_7
| ~ spl33_9
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1982,f689]) ).
fof(f1982,plain,
( in(sK28(sK6,sK7),sK7)
| ~ element(sK28(sK6,sK7),the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))),sK3,sK4)
| ~ in(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_7
| ~ spl33_9 ),
inference(subsumption_resolution,[],[f1981,f674]) ).
fof(f674,plain,
( sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7)))
| ~ spl33_7 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f672,plain,
( spl33_7
<=> sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_7])]) ).
fof(f1981,plain,
( sK5 != topstr_closure(sK3,sK10(sK28(sK6,sK7)))
| in(sK28(sK6,sK7),sK7)
| ~ element(sK28(sK6,sK7),the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))),sK3,sK4)
| ~ in(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_9 ),
inference(superposition,[],[f389,f766]) ).
fof(f2076,plain,
( spl33_72
| ~ spl33_73
| ~ spl33_1
| ~ spl33_69 ),
inference(avatar_split_clause,[],[f2046,f1991,f405,f2073,f2069]) ).
fof(f2069,plain,
( spl33_72
<=> boundary_set(sK10(sK28(sK6,sK7)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_72])]) ).
fof(f2073,plain,
( spl33_73
<=> empty(sK10(sK28(sK6,sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_73])]) ).
fof(f2046,plain,
( ~ empty(sK10(sK28(sK6,sK7)))
| boundary_set(sK10(sK28(sK6,sK7)),sK3)
| ~ spl33_1
| ~ spl33_69 ),
inference(subsumption_resolution,[],[f2038,f240]) ).
fof(f2038,plain,
( ~ empty(sK10(sK28(sK6,sK7)))
| boundary_set(sK10(sK28(sK6,sK7)),sK3)
| ~ top_str(sK3)
| ~ spl33_1
| ~ spl33_69 ),
inference(resolution,[],[f2018,f272]) ).
fof(f2065,plain,
( spl33_70
| ~ spl33_71
| ~ spl33_18 ),
inference(avatar_split_clause,[],[f2027,f1047,f2062,f2058]) ).
fof(f2058,plain,
( spl33_70
<=> boundary_set(sK8(sK28(sK6,sK7)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_70])]) ).
fof(f2062,plain,
( spl33_71
<=> empty(sK8(sK28(sK6,sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_71])]) ).
fof(f2027,plain,
( ~ empty(sK8(sK28(sK6,sK7)))
| boundary_set(sK8(sK28(sK6,sK7)),sK3)
| ~ spl33_18 ),
inference(subsumption_resolution,[],[f2019,f240]) ).
fof(f2019,plain,
( ~ empty(sK8(sK28(sK6,sK7)))
| boundary_set(sK8(sK28(sK6,sK7)),sK3)
| ~ top_str(sK3)
| ~ spl33_18 ),
inference(resolution,[],[f1048,f272]) ).
fof(f2002,plain,
( ~ spl33_9
| spl33_69 ),
inference(avatar_contradiction_clause,[],[f2001]) ).
fof(f2001,plain,
( $false
| ~ spl33_9
| spl33_69 ),
inference(subsumption_resolution,[],[f2000,f684]) ).
fof(f2000,plain,
( ~ in(sK28(sK6,sK7),sK6)
| spl33_69 ),
inference(resolution,[],[f1993,f246]) ).
fof(f1993,plain,
( ~ netstr_induced_subset(sK10(sK28(sK6,sK7)),sK3,sK4)
| spl33_69 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f1998,plain,
( ~ spl33_9
| spl33_68 ),
inference(avatar_contradiction_clause,[],[f1997]) ).
fof(f1997,plain,
( $false
| ~ spl33_9
| spl33_68 ),
inference(subsumption_resolution,[],[f1996,f684]) ).
fof(f1996,plain,
( ~ in(sK28(sK6,sK7),sK6)
| spl33_68 ),
inference(resolution,[],[f1989,f245]) ).
fof(f1994,plain,
( ~ spl33_68
| ~ spl33_69
| ~ spl33_1
| ~ spl33_7
| ~ spl33_9
| ~ spl33_10
| spl33_18 ),
inference(avatar_split_clause,[],[f1985,f1047,f687,f683,f672,f405,f1991,f1987]) ).
fof(f1985,plain,
( ~ netstr_induced_subset(sK10(sK28(sK6,sK7)),sK3,sK4)
| ~ in(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_1
| ~ spl33_7
| ~ spl33_9
| ~ spl33_10
| spl33_18 ),
inference(forward_demodulation,[],[f1984,f766]) ).
fof(f1984,plain,
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))),sK3,sK4)
| ~ in(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_1
| ~ spl33_7
| ~ spl33_9
| ~ spl33_10
| spl33_18 ),
inference(subsumption_resolution,[],[f1983,f689]) ).
fof(f1983,plain,
( ~ element(sK28(sK6,sK7),the_carrier(sK4))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))),sK3,sK4)
| ~ in(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_1
| ~ spl33_7
| ~ spl33_9
| spl33_18 ),
inference(subsumption_resolution,[],[f1982,f1055]) ).
fof(f1055,plain,
( ~ in(sK28(sK6,sK7),sK7)
| ~ spl33_1
| spl33_18 ),
inference(resolution,[],[f1049,f949]) ).
fof(f949,plain,
( ! [X0] :
( element(sK8(X0),powerset(the_carrier(sK3)))
| ~ in(X0,sK7) )
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f948,f238]) ).
fof(f948,plain,
( ! [X0] :
( element(sK8(X0),powerset(the_carrier(sK3)))
| empty_carrier(sK3)
| ~ in(X0,sK7) )
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f947,f406]) ).
fof(f947,plain,
! [X0] :
( element(sK8(X0),powerset(the_carrier(sK3)))
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ in(X0,sK7) ),
inference(subsumption_resolution,[],[f946,f241]) ).
fof(f946,plain,
! [X0] :
( element(sK8(X0),powerset(the_carrier(sK3)))
| empty_carrier(sK4)
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ in(X0,sK7) ),
inference(subsumption_resolution,[],[f941,f244]) ).
fof(f941,plain,
! [X0] :
( element(sK8(X0),powerset(the_carrier(sK3)))
| ~ net_str(sK4,sK3)
| empty_carrier(sK4)
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ in(X0,sK7) ),
inference(resolution,[],[f345,f253]) ).
fof(f1049,plain,
( ~ element(sK8(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| spl33_18 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1909,plain,
( ~ spl33_66
| spl33_67
| ~ spl33_1
| ~ spl33_9
| ~ spl33_10 ),
inference(avatar_split_clause,[],[f1875,f687,f683,f405,f1906,f1902]) ).
fof(f1902,plain,
( spl33_66
<=> empty(the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_66])]) ).
fof(f1906,plain,
( spl33_67
<=> relation(sK10(sK28(sK6,sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_67])]) ).
fof(f1875,plain,
( relation(sK10(sK28(sK6,sK7)))
| ~ empty(the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))))
| ~ spl33_1
| ~ spl33_9
| ~ spl33_10 ),
inference(superposition,[],[f286,f1816]) ).
fof(f1816,plain,
( sK10(sK28(sK6,sK7)) = relation_rng(the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))))
| ~ spl33_1
| ~ spl33_9
| ~ spl33_10 ),
inference(forward_demodulation,[],[f1815,f766]) ).
fof(f1815,plain,
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))) = relation_rng(the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))))
| ~ spl33_1
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1813,f406]) ).
fof(f1813,plain,
( ~ one_sorted_str(sK3)
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)))) = relation_rng(the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))))
| ~ spl33_1
| ~ spl33_10 ),
inference(resolution,[],[f1776,f774]) ).
fof(f1776,plain,
( net_str(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)),sK3)
| ~ spl33_1
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1775,f238]) ).
fof(f1775,plain,
( net_str(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)),sK3)
| empty_carrier(sK3)
| ~ spl33_1
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1774,f406]) ).
fof(f1774,plain,
( net_str(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)),sK3)
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl33_1
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1773,f241]) ).
fof(f1773,plain,
( net_str(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)),sK3)
| empty_carrier(sK4)
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl33_1
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1772,f244]) ).
fof(f1772,plain,
( net_str(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)),sK3)
| ~ net_str(sK4,sK3)
| empty_carrier(sK4)
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl33_1
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1744,f689]) ).
fof(f1744,plain,
( net_str(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)),sK3)
| ~ element(sK28(sK6,sK7),the_carrier(sK4))
| ~ net_str(sK4,sK3)
| empty_carrier(sK4)
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl33_1
| ~ spl33_10 ),
inference(superposition,[],[f369,f1739]) ).
fof(f1739,plain,
( subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)) = netstr_restr_to_element(sK3,sK4,sK28(sK6,sK7))
| ~ spl33_1
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1738,f238]) ).
fof(f1738,plain,
( subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)) = netstr_restr_to_element(sK3,sK4,sK28(sK6,sK7))
| empty_carrier(sK3)
| ~ spl33_1
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1737,f406]) ).
fof(f1737,plain,
( subnetstr_of_element(sK3,sK4,sK28(sK6,sK7)) = netstr_restr_to_element(sK3,sK4,sK28(sK6,sK7))
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ spl33_10 ),
inference(resolution,[],[f1587,f244]) ).
fof(f1587,plain,
( ! [X0] :
( ~ net_str(sK4,X0)
| netstr_restr_to_element(X0,sK4,sK28(sK6,sK7)) = subnetstr_of_element(X0,sK4,sK28(sK6,sK7))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1586,f241]) ).
fof(f1586,plain,
( ! [X0] :
( netstr_restr_to_element(X0,sK4,sK28(sK6,sK7)) = subnetstr_of_element(X0,sK4,sK28(sK6,sK7))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1585,f242]) ).
fof(f1585,plain,
( ! [X0] :
( netstr_restr_to_element(X0,sK4,sK28(sK6,sK7)) = subnetstr_of_element(X0,sK4,sK28(sK6,sK7))
| ~ net_str(sK4,X0)
| ~ transitive_relstr(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f1575,f243]) ).
fof(f1575,plain,
( ! [X0] :
( netstr_restr_to_element(X0,sK4,sK28(sK6,sK7)) = subnetstr_of_element(X0,sK4,sK28(sK6,sK7))
| ~ net_str(sK4,X0)
| ~ directed_relstr(sK4)
| ~ transitive_relstr(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl33_10 ),
inference(resolution,[],[f359,f689]) ).
fof(f1867,plain,
( spl33_64
| ~ spl33_65
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(avatar_split_clause,[],[f1858,f1711,f1707,f1564,f1328,f409,f1864,f1860]) ).
fof(f1860,plain,
( spl33_64
<=> sK4 = sK31 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_64])]) ).
fof(f1864,plain,
( spl33_65
<=> sK16(sK4) = sK16(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_65])]) ).
fof(f1858,plain,
( sK16(sK4) != sK16(sK31)
| sK4 = sK31
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52
| ~ spl33_57
| ~ spl33_58 ),
inference(superposition,[],[f1803,f1282]) ).
fof(f1855,plain,
( spl33_62
| ~ spl33_63
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f1819,f1680,f1676,f1516,f1298,f405,f1852,f1848]) ).
fof(f1848,plain,
( spl33_62
<=> sK3 = sK31 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_62])]) ).
fof(f1852,plain,
( spl33_63
<=> sK16(sK3) = sK16(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_63])]) ).
fof(f1819,plain,
( sK16(sK3) != sK16(sK31)
| sK3 = sK31
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(superposition,[],[f1798,f1282]) ).
fof(f1828,plain,
( spl33_60
| ~ spl33_61
| ~ spl33_1
| ~ spl33_2
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f1818,f1680,f1676,f1516,f1298,f409,f405,f1825,f1821]) ).
fof(f1821,plain,
( spl33_60
<=> sK3 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_60])]) ).
fof(f1825,plain,
( spl33_61
<=> sK16(sK3) = sK16(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_61])]) ).
fof(f1818,plain,
( sK16(sK3) != sK16(sK4)
| sK3 = sK4
| ~ spl33_1
| ~ spl33_2
| ~ spl33_36
| ~ spl33_48
| ~ spl33_54
| ~ spl33_55 ),
inference(superposition,[],[f1798,f1280]) ).
fof(f1728,plain,
( ~ spl33_2
| spl33_58 ),
inference(avatar_contradiction_clause,[],[f1727]) ).
fof(f1727,plain,
( $false
| ~ spl33_2
| spl33_58 ),
inference(subsumption_resolution,[],[f1726,f416]) ).
fof(f1726,plain,
( ~ one_sorted_str(sK4)
| ~ spl33_2
| spl33_58 ),
inference(resolution,[],[f1725,f277]) ).
fof(f1725,plain,
( ~ net_str(sK16(sK4),sK4)
| ~ spl33_2
| spl33_58 ),
inference(subsumption_resolution,[],[f1724,f416]) ).
fof(f1724,plain,
( ~ net_str(sK16(sK4),sK4)
| ~ one_sorted_str(sK4)
| spl33_58 ),
inference(resolution,[],[f1713,f349]) ).
fof(f1713,plain,
( ~ quasi_total(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| spl33_58 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1723,plain,
( ~ spl33_2
| spl33_57 ),
inference(avatar_contradiction_clause,[],[f1722]) ).
fof(f1722,plain,
( $false
| ~ spl33_2
| spl33_57 ),
inference(subsumption_resolution,[],[f1721,f416]) ).
fof(f1721,plain,
( ~ one_sorted_str(sK4)
| ~ spl33_2
| spl33_57 ),
inference(resolution,[],[f1720,f277]) ).
fof(f1720,plain,
( ~ net_str(sK16(sK4),sK4)
| ~ spl33_2
| spl33_57 ),
inference(subsumption_resolution,[],[f1719,f416]) ).
fof(f1719,plain,
( ~ net_str(sK16(sK4),sK4)
| ~ one_sorted_str(sK4)
| spl33_57 ),
inference(resolution,[],[f1709,f348]) ).
fof(f1709,plain,
( ~ function(the_mapping(sK4,sK16(sK4)))
| spl33_57 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f1718,plain,
( ~ spl33_57
| ~ spl33_58
| ~ spl33_59
| ~ spl33_2
| spl33_38
| ~ spl33_39
| ~ spl33_52 ),
inference(avatar_split_clause,[],[f1664,f1564,f1328,f1324,f409,f1715,f1711,f1707]) ).
fof(f1715,plain,
( spl33_59
<=> empty_carrier(sK16(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_59])]) ).
fof(f1324,plain,
( spl33_38
<=> finite(the_carrier(sK16(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_38])]) ).
fof(f1664,plain,
( ~ empty_carrier(sK16(sK4))
| ~ quasi_total(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK16(sK4)))
| ~ spl33_2
| spl33_38
| ~ spl33_39
| ~ spl33_52 ),
inference(subsumption_resolution,[],[f1663,f416]) ).
fof(f1663,plain,
( ~ empty_carrier(sK16(sK4))
| ~ quasi_total(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK16(sK4)))
| ~ one_sorted_str(sK4)
| ~ spl33_2
| spl33_38
| ~ spl33_39
| ~ spl33_52 ),
inference(subsumption_resolution,[],[f1662,f1336]) ).
fof(f1336,plain,
( ~ empty(the_carrier(sK16(sK4)))
| spl33_38 ),
inference(resolution,[],[f1326,f284]) ).
fof(f1326,plain,
( ~ finite(the_carrier(sK16(sK4)))
| spl33_38 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1662,plain,
( ~ empty_carrier(sK16(sK4))
| ~ quasi_total(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK16(sK4)))
| empty(the_carrier(sK16(sK4)))
| ~ one_sorted_str(sK4)
| ~ spl33_2
| ~ spl33_39
| ~ spl33_52 ),
inference(subsumption_resolution,[],[f1661,f1329]) ).
fof(f1661,plain,
( ~ empty_carrier(sK16(sK4))
| ~ quasi_total(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK16(sK4)))
| ~ relation_of2(the_InternalRel(sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| empty(the_carrier(sK16(sK4)))
| ~ one_sorted_str(sK4)
| ~ spl33_2
| ~ spl33_52 ),
inference(subsumption_resolution,[],[f1655,f1565]) ).
fof(f1655,plain,
( ~ empty_carrier(sK16(sK4))
| ~ relation_of2(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ quasi_total(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK16(sK4)))
| ~ relation_of2(the_InternalRel(sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| empty(the_carrier(sK16(sK4)))
| ~ one_sorted_str(sK4)
| ~ spl33_2 ),
inference(superposition,[],[f372,f1280]) ).
fof(f1697,plain,
( ~ spl33_1
| spl33_55 ),
inference(avatar_contradiction_clause,[],[f1696]) ).
fof(f1696,plain,
( $false
| ~ spl33_1
| spl33_55 ),
inference(subsumption_resolution,[],[f1695,f406]) ).
fof(f1695,plain,
( ~ one_sorted_str(sK3)
| ~ spl33_1
| spl33_55 ),
inference(resolution,[],[f1694,f277]) ).
fof(f1694,plain,
( ~ net_str(sK16(sK3),sK3)
| ~ spl33_1
| spl33_55 ),
inference(subsumption_resolution,[],[f1693,f406]) ).
fof(f1693,plain,
( ~ net_str(sK16(sK3),sK3)
| ~ one_sorted_str(sK3)
| spl33_55 ),
inference(resolution,[],[f1682,f349]) ).
fof(f1682,plain,
( ~ quasi_total(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| spl33_55 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f1692,plain,
( ~ spl33_1
| spl33_54 ),
inference(avatar_contradiction_clause,[],[f1691]) ).
fof(f1691,plain,
( $false
| ~ spl33_1
| spl33_54 ),
inference(subsumption_resolution,[],[f1690,f406]) ).
fof(f1690,plain,
( ~ one_sorted_str(sK3)
| ~ spl33_1
| spl33_54 ),
inference(resolution,[],[f1689,f277]) ).
fof(f1689,plain,
( ~ net_str(sK16(sK3),sK3)
| ~ spl33_1
| spl33_54 ),
inference(subsumption_resolution,[],[f1688,f406]) ).
fof(f1688,plain,
( ~ net_str(sK16(sK3),sK3)
| ~ one_sorted_str(sK3)
| spl33_54 ),
inference(resolution,[],[f1678,f348]) ).
fof(f1678,plain,
( ~ function(the_mapping(sK3,sK16(sK3)))
| spl33_54 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f1687,plain,
( ~ spl33_54
| ~ spl33_55
| ~ spl33_56
| ~ spl33_1
| spl33_35
| ~ spl33_36
| ~ spl33_48 ),
inference(avatar_split_clause,[],[f1660,f1516,f1298,f1294,f405,f1684,f1680,f1676]) ).
fof(f1684,plain,
( spl33_56
<=> empty_carrier(sK16(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_56])]) ).
fof(f1294,plain,
( spl33_35
<=> finite(the_carrier(sK16(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_35])]) ).
fof(f1660,plain,
( ~ empty_carrier(sK16(sK3))
| ~ quasi_total(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ function(the_mapping(sK3,sK16(sK3)))
| ~ spl33_1
| spl33_35
| ~ spl33_36
| ~ spl33_48 ),
inference(subsumption_resolution,[],[f1659,f406]) ).
fof(f1659,plain,
( ~ empty_carrier(sK16(sK3))
| ~ quasi_total(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ function(the_mapping(sK3,sK16(sK3)))
| ~ one_sorted_str(sK3)
| ~ spl33_1
| spl33_35
| ~ spl33_36
| ~ spl33_48 ),
inference(subsumption_resolution,[],[f1658,f1306]) ).
fof(f1306,plain,
( ~ empty(the_carrier(sK16(sK3)))
| spl33_35 ),
inference(resolution,[],[f1296,f284]) ).
fof(f1296,plain,
( ~ finite(the_carrier(sK16(sK3)))
| spl33_35 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1658,plain,
( ~ empty_carrier(sK16(sK3))
| ~ quasi_total(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ function(the_mapping(sK3,sK16(sK3)))
| empty(the_carrier(sK16(sK3)))
| ~ one_sorted_str(sK3)
| ~ spl33_1
| ~ spl33_36
| ~ spl33_48 ),
inference(subsumption_resolution,[],[f1657,f1299]) ).
fof(f1657,plain,
( ~ empty_carrier(sK16(sK3))
| ~ quasi_total(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ function(the_mapping(sK3,sK16(sK3)))
| ~ relation_of2(the_InternalRel(sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| empty(the_carrier(sK16(sK3)))
| ~ one_sorted_str(sK3)
| ~ spl33_1
| ~ spl33_48 ),
inference(subsumption_resolution,[],[f1654,f1517]) ).
fof(f1654,plain,
( ~ empty_carrier(sK16(sK3))
| ~ relation_of2(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ quasi_total(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ function(the_mapping(sK3,sK16(sK3)))
| ~ relation_of2(the_InternalRel(sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| empty(the_carrier(sK16(sK3)))
| ~ one_sorted_str(sK3)
| ~ spl33_1 ),
inference(superposition,[],[f372,f1279]) ).
fof(f1592,plain,
( ~ spl33_2
| spl33_52 ),
inference(avatar_contradiction_clause,[],[f1591]) ).
fof(f1591,plain,
( $false
| ~ spl33_2
| spl33_52 ),
inference(subsumption_resolution,[],[f1590,f416]) ).
fof(f1590,plain,
( ~ one_sorted_str(sK4)
| ~ spl33_2
| spl33_52 ),
inference(resolution,[],[f1589,f277]) ).
fof(f1589,plain,
( ~ net_str(sK16(sK4),sK4)
| ~ spl33_2
| spl33_52 ),
inference(subsumption_resolution,[],[f1588,f416]) ).
fof(f1588,plain,
( ~ one_sorted_str(sK4)
| ~ net_str(sK16(sK4),sK4)
| spl33_52 ),
inference(resolution,[],[f1566,f470]) ).
fof(f1566,plain,
( ~ relation_of2(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| spl33_52 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f1571,plain,
( ~ spl33_52
| spl33_53
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f1514,f409,f1568,f1564]) ).
fof(f1568,plain,
( spl33_53
<=> element(relation_rng(the_mapping(sK4,sK16(sK4))),powerset(the_carrier(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_53])]) ).
fof(f1514,plain,
( element(relation_rng(the_mapping(sK4,sK16(sK4))),powerset(the_carrier(sK4)))
| ~ relation_of2(the_mapping(sK4,sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK4))
| ~ spl33_2 ),
inference(superposition,[],[f356,f1505]) ).
fof(f1505,plain,
( relation_rng(the_mapping(sK4,sK16(sK4))) = relation_rng_as_subset(the_carrier(sK16(sK4)),the_carrier(sK4),the_mapping(sK4,sK16(sK4)))
| ~ spl33_2 ),
inference(resolution,[],[f1418,f416]) ).
fof(f1561,plain,
( spl33_50
| ~ spl33_51
| ~ spl33_49 ),
inference(avatar_split_clause,[],[f1541,f1520,f1558,f1554]) ).
fof(f1554,plain,
( spl33_50
<=> boundary_set(relation_rng(the_mapping(sK3,sK16(sK3))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_50])]) ).
fof(f1558,plain,
( spl33_51
<=> empty(relation_rng(the_mapping(sK3,sK16(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_51])]) ).
fof(f1541,plain,
( ~ empty(relation_rng(the_mapping(sK3,sK16(sK3))))
| boundary_set(relation_rng(the_mapping(sK3,sK16(sK3))),sK3)
| ~ spl33_49 ),
inference(subsumption_resolution,[],[f1533,f240]) ).
fof(f1533,plain,
( ~ empty(relation_rng(the_mapping(sK3,sK16(sK3))))
| boundary_set(relation_rng(the_mapping(sK3,sK16(sK3))),sK3)
| ~ top_str(sK3)
| ~ spl33_49 ),
inference(resolution,[],[f1522,f272]) ).
fof(f1532,plain,
( ~ spl33_1
| spl33_48 ),
inference(avatar_contradiction_clause,[],[f1531]) ).
fof(f1531,plain,
( $false
| ~ spl33_1
| spl33_48 ),
inference(subsumption_resolution,[],[f1530,f406]) ).
fof(f1530,plain,
( ~ one_sorted_str(sK3)
| ~ spl33_1
| spl33_48 ),
inference(resolution,[],[f1525,f277]) ).
fof(f1525,plain,
( ~ net_str(sK16(sK3),sK3)
| ~ spl33_1
| spl33_48 ),
inference(subsumption_resolution,[],[f1524,f406]) ).
fof(f1524,plain,
( ~ one_sorted_str(sK3)
| ~ net_str(sK16(sK3),sK3)
| spl33_48 ),
inference(resolution,[],[f1518,f470]) ).
fof(f1518,plain,
( ~ relation_of2(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| spl33_48 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1523,plain,
( ~ spl33_48
| spl33_49
| ~ spl33_1 ),
inference(avatar_split_clause,[],[f1511,f405,f1520,f1516]) ).
fof(f1511,plain,
( element(relation_rng(the_mapping(sK3,sK16(sK3))),powerset(the_carrier(sK3)))
| ~ relation_of2(the_mapping(sK3,sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK3))
| ~ spl33_1 ),
inference(superposition,[],[f356,f1504]) ).
fof(f1504,plain,
( relation_rng(the_mapping(sK3,sK16(sK3))) = relation_rng_as_subset(the_carrier(sK16(sK3)),the_carrier(sK3),the_mapping(sK3,sK16(sK3)))
| ~ spl33_1 ),
inference(resolution,[],[f1418,f406]) ).
fof(f1486,plain,
( spl33_45
| ~ spl33_46
| ~ spl33_47
| ~ spl33_42 ),
inference(avatar_split_clause,[],[f1453,f1428,f1483,f1479,f1475]) ).
fof(f1475,plain,
( spl33_45
<=> sP0(sK3,relation_rng(the_mapping(sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_45])]) ).
fof(f1479,plain,
( spl33_46
<=> open_subset(relation_rng(the_mapping(sK3,sK4)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_46])]) ).
fof(f1483,plain,
( spl33_47
<=> nowhere_dense(relation_rng(the_mapping(sK3,sK4)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_47])]) ).
fof(f1428,plain,
( spl33_42
<=> element(relation_rng(the_mapping(sK3,sK4)),powerset(the_carrier(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_42])]) ).
fof(f1453,plain,
( ~ nowhere_dense(relation_rng(the_mapping(sK3,sK4)),sK3)
| ~ open_subset(relation_rng(the_mapping(sK3,sK4)),sK3)
| sP0(sK3,relation_rng(the_mapping(sK3,sK4)))
| ~ spl33_42 ),
inference(subsumption_resolution,[],[f1452,f239]) ).
fof(f1452,plain,
( ~ nowhere_dense(relation_rng(the_mapping(sK3,sK4)),sK3)
| ~ open_subset(relation_rng(the_mapping(sK3,sK4)),sK3)
| sP0(sK3,relation_rng(the_mapping(sK3,sK4)))
| ~ topological_space(sK3)
| ~ spl33_42 ),
inference(subsumption_resolution,[],[f1441,f240]) ).
fof(f1441,plain,
( ~ nowhere_dense(relation_rng(the_mapping(sK3,sK4)),sK3)
| ~ open_subset(relation_rng(the_mapping(sK3,sK4)),sK3)
| sP0(sK3,relation_rng(the_mapping(sK3,sK4)))
| ~ top_str(sK3)
| ~ topological_space(sK3)
| ~ spl33_42 ),
inference(resolution,[],[f1430,f307]) ).
fof(f1430,plain,
( element(relation_rng(the_mapping(sK3,sK4)),powerset(the_carrier(sK3)))
| ~ spl33_42 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1464,plain,
( spl33_43
| ~ spl33_44
| ~ spl33_42 ),
inference(avatar_split_clause,[],[f1445,f1428,f1461,f1457]) ).
fof(f1457,plain,
( spl33_43
<=> boundary_set(relation_rng(the_mapping(sK3,sK4)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_43])]) ).
fof(f1461,plain,
( spl33_44
<=> empty(relation_rng(the_mapping(sK3,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_44])]) ).
fof(f1445,plain,
( ~ empty(relation_rng(the_mapping(sK3,sK4)))
| boundary_set(relation_rng(the_mapping(sK3,sK4)),sK3)
| ~ spl33_42 ),
inference(subsumption_resolution,[],[f1437,f240]) ).
fof(f1437,plain,
( ~ empty(relation_rng(the_mapping(sK3,sK4)))
| boundary_set(relation_rng(the_mapping(sK3,sK4)),sK3)
| ~ top_str(sK3)
| ~ spl33_42 ),
inference(resolution,[],[f1430,f272]) ).
fof(f1435,plain,
( ~ spl33_1
| spl33_41 ),
inference(avatar_contradiction_clause,[],[f1434]) ).
fof(f1434,plain,
( $false
| ~ spl33_1
| spl33_41 ),
inference(subsumption_resolution,[],[f1433,f244]) ).
fof(f1433,plain,
( ~ net_str(sK4,sK3)
| ~ spl33_1
| spl33_41 ),
inference(subsumption_resolution,[],[f1432,f406]) ).
fof(f1432,plain,
( ~ one_sorted_str(sK3)
| ~ net_str(sK4,sK3)
| spl33_41 ),
inference(resolution,[],[f1426,f470]) ).
fof(f1426,plain,
( ~ relation_of2(the_mapping(sK3,sK4),the_carrier(sK4),the_carrier(sK3))
| spl33_41 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1424,plain,
( spl33_41
<=> relation_of2(the_mapping(sK3,sK4),the_carrier(sK4),the_carrier(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_41])]) ).
fof(f1431,plain,
( ~ spl33_41
| spl33_42
| ~ spl33_1 ),
inference(avatar_split_clause,[],[f1422,f405,f1428,f1424]) ).
fof(f1422,plain,
( element(relation_rng(the_mapping(sK3,sK4)),powerset(the_carrier(sK3)))
| ~ relation_of2(the_mapping(sK3,sK4),the_carrier(sK4),the_carrier(sK3))
| ~ spl33_1 ),
inference(superposition,[],[f356,f1420]) ).
fof(f1420,plain,
( relation_rng(the_mapping(sK3,sK4)) = relation_rng_as_subset(the_carrier(sK4),the_carrier(sK3),the_mapping(sK3,sK4))
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f1414,f406]) ).
fof(f1414,plain,
( ~ one_sorted_str(sK3)
| relation_rng(the_mapping(sK3,sK4)) = relation_rng_as_subset(the_carrier(sK4),the_carrier(sK3),the_mapping(sK3,sK4)) ),
inference(resolution,[],[f774,f244]) ).
fof(f1342,plain,
( ~ spl33_2
| spl33_39 ),
inference(avatar_contradiction_clause,[],[f1341]) ).
fof(f1341,plain,
( $false
| ~ spl33_2
| spl33_39 ),
inference(subsumption_resolution,[],[f1340,f416]) ).
fof(f1340,plain,
( ~ one_sorted_str(sK4)
| spl33_39 ),
inference(resolution,[],[f1339,f403]) ).
fof(f1339,plain,
( ~ rel_str(sK16(sK4))
| spl33_39 ),
inference(resolution,[],[f1330,f430]) ).
fof(f1330,plain,
( ~ relation_of2(the_InternalRel(sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| spl33_39 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1335,plain,
( ~ spl33_38
| ~ spl33_39
| spl33_40
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f1291,f409,f1332,f1328,f1324]) ).
fof(f1332,plain,
( spl33_40
<=> finite(relation_rng(the_InternalRel(sK16(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_40])]) ).
fof(f1291,plain,
( finite(relation_rng(the_InternalRel(sK16(sK4))))
| ~ relation_of2(the_InternalRel(sK16(sK4)),the_carrier(sK16(sK4)),the_carrier(sK16(sK4)))
| ~ finite(the_carrier(sK16(sK4)))
| ~ spl33_2 ),
inference(superposition,[],[f441,f1286]) ).
fof(f1286,plain,
( relation_rng_as_subset(the_carrier(sK16(sK4)),the_carrier(sK16(sK4)),the_InternalRel(sK16(sK4))) = relation_rng(the_InternalRel(sK16(sK4)))
| ~ spl33_2 ),
inference(resolution,[],[f776,f416]) ).
fof(f1312,plain,
( ~ spl33_1
| spl33_36 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1311,plain,
( $false
| ~ spl33_1
| spl33_36 ),
inference(subsumption_resolution,[],[f1310,f406]) ).
fof(f1310,plain,
( ~ one_sorted_str(sK3)
| spl33_36 ),
inference(resolution,[],[f1309,f403]) ).
fof(f1309,plain,
( ~ rel_str(sK16(sK3))
| spl33_36 ),
inference(resolution,[],[f1300,f430]) ).
fof(f1300,plain,
( ~ relation_of2(the_InternalRel(sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| spl33_36 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1305,plain,
( ~ spl33_35
| ~ spl33_36
| spl33_37
| ~ spl33_1 ),
inference(avatar_split_clause,[],[f1289,f405,f1302,f1298,f1294]) ).
fof(f1302,plain,
( spl33_37
<=> finite(relation_rng(the_InternalRel(sK16(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_37])]) ).
fof(f1289,plain,
( finite(relation_rng(the_InternalRel(sK16(sK3))))
| ~ relation_of2(the_InternalRel(sK16(sK3)),the_carrier(sK16(sK3)),the_carrier(sK16(sK3)))
| ~ finite(the_carrier(sK16(sK3)))
| ~ spl33_1 ),
inference(superposition,[],[f441,f1285]) ).
fof(f1285,plain,
( relation_rng_as_subset(the_carrier(sK16(sK3)),the_carrier(sK16(sK3)),the_InternalRel(sK16(sK3))) = relation_rng(the_InternalRel(sK16(sK3)))
| ~ spl33_1 ),
inference(resolution,[],[f776,f406]) ).
fof(f1252,plain,
( ~ spl33_30
| ~ spl33_31
| spl33_32
| ~ spl33_33
| ~ spl33_34
| ~ spl33_2
| ~ spl33_14 ),
inference(avatar_split_clause,[],[f845,f784,f409,f1249,f1245,f1241,f1237,f1233]) ).
fof(f1233,plain,
( spl33_30
<=> topological_space(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_30])]) ).
fof(f1237,plain,
( spl33_31
<=> top_str(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_31])]) ).
fof(f1241,plain,
( spl33_32
<=> sP0(sK4,relation_rng(the_InternalRel(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_32])]) ).
fof(f1245,plain,
( spl33_33
<=> open_subset(relation_rng(the_InternalRel(sK4)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_33])]) ).
fof(f1249,plain,
( spl33_34
<=> nowhere_dense(relation_rng(the_InternalRel(sK4)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_34])]) ).
fof(f784,plain,
( spl33_14
<=> relation_of2(the_InternalRel(sK4),the_carrier(sK4),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_14])]) ).
fof(f845,plain,
( ~ nowhere_dense(relation_rng(the_InternalRel(sK4)),sK4)
| ~ open_subset(relation_rng(the_InternalRel(sK4)),sK4)
| sP0(sK4,relation_rng(the_InternalRel(sK4)))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| ~ spl33_2
| ~ spl33_14 ),
inference(resolution,[],[f307,f809]) ).
fof(f809,plain,
( element(relation_rng(the_InternalRel(sK4)),powerset(the_carrier(sK4)))
| ~ spl33_2
| ~ spl33_14 ),
inference(subsumption_resolution,[],[f778,f785]) ).
fof(f785,plain,
( relation_of2(the_InternalRel(sK4),the_carrier(sK4),the_carrier(sK4))
| ~ spl33_14 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f778,plain,
( element(relation_rng(the_InternalRel(sK4)),powerset(the_carrier(sK4)))
| ~ relation_of2(the_InternalRel(sK4),the_carrier(sK4),the_carrier(sK4))
| ~ spl33_2 ),
inference(superposition,[],[f356,f775]) ).
fof(f775,plain,
( relation_rng_as_subset(the_carrier(sK4),the_carrier(sK4),the_InternalRel(sK4)) = relation_rng(the_InternalRel(sK4))
| ~ spl33_2 ),
inference(resolution,[],[f439,f411]) ).
fof(f1221,plain,
( spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_11 ),
inference(avatar_split_clause,[],[f1146,f726,f1218,f1214,f1210]) ).
fof(f1210,plain,
( spl33_27
<=> sP0(sK3,sK10(sK28(sK7,sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_27])]) ).
fof(f1214,plain,
( spl33_28
<=> open_subset(sK10(sK28(sK7,sK6)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_28])]) ).
fof(f1218,plain,
( spl33_29
<=> nowhere_dense(sK10(sK28(sK7,sK6)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_29])]) ).
fof(f726,plain,
( spl33_11
<=> element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_11])]) ).
fof(f1146,plain,
( ~ nowhere_dense(sK10(sK28(sK7,sK6)),sK3)
| ~ open_subset(sK10(sK28(sK7,sK6)),sK3)
| sP0(sK3,sK10(sK28(sK7,sK6)))
| ~ spl33_11 ),
inference(subsumption_resolution,[],[f1145,f239]) ).
fof(f1145,plain,
( ~ nowhere_dense(sK10(sK28(sK7,sK6)),sK3)
| ~ open_subset(sK10(sK28(sK7,sK6)),sK3)
| sP0(sK3,sK10(sK28(sK7,sK6)))
| ~ topological_space(sK3)
| ~ spl33_11 ),
inference(subsumption_resolution,[],[f1134,f240]) ).
fof(f1134,plain,
( ~ nowhere_dense(sK10(sK28(sK7,sK6)),sK3)
| ~ open_subset(sK10(sK28(sK7,sK6)),sK3)
| sP0(sK3,sK10(sK28(sK7,sK6)))
| ~ top_str(sK3)
| ~ topological_space(sK3)
| ~ spl33_11 ),
inference(resolution,[],[f727,f307]) ).
fof(f727,plain,
( element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_11 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f1173,plain,
( spl33_25
| ~ spl33_26
| ~ spl33_11 ),
inference(avatar_split_clause,[],[f1138,f726,f1170,f1166]) ).
fof(f1166,plain,
( spl33_25
<=> boundary_set(sK10(sK28(sK7,sK6)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_25])]) ).
fof(f1170,plain,
( spl33_26
<=> empty(sK10(sK28(sK7,sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_26])]) ).
fof(f1138,plain,
( ~ empty(sK10(sK28(sK7,sK6)))
| boundary_set(sK10(sK28(sK7,sK6)),sK3)
| ~ spl33_11 ),
inference(subsumption_resolution,[],[f1130,f240]) ).
fof(f1130,plain,
( ~ empty(sK10(sK28(sK7,sK6)))
| boundary_set(sK10(sK28(sK7,sK6)),sK3)
| ~ top_str(sK3)
| ~ spl33_11 ),
inference(resolution,[],[f727,f272]) ).
fof(f1164,plain,
( spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_19 ),
inference(avatar_split_clause,[],[f1102,f1051,f1161,f1157,f1153]) ).
fof(f1153,plain,
( spl33_22
<=> sP0(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_22])]) ).
fof(f1157,plain,
( spl33_23
<=> open_subset(sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_23])]) ).
fof(f1161,plain,
( spl33_24
<=> nowhere_dense(sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_24])]) ).
fof(f1051,plain,
( spl33_19
<=> element(sK5,powerset(the_carrier(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_19])]) ).
fof(f1102,plain,
( ~ nowhere_dense(sK5,sK3)
| ~ open_subset(sK5,sK3)
| sP0(sK3,sK5)
| ~ spl33_19 ),
inference(subsumption_resolution,[],[f1101,f239]) ).
fof(f1101,plain,
( ~ nowhere_dense(sK5,sK3)
| ~ open_subset(sK5,sK3)
| sP0(sK3,sK5)
| ~ topological_space(sK3)
| ~ spl33_19 ),
inference(subsumption_resolution,[],[f1092,f240]) ).
fof(f1092,plain,
( ~ nowhere_dense(sK5,sK3)
| ~ open_subset(sK5,sK3)
| sP0(sK3,sK5)
| ~ top_str(sK3)
| ~ topological_space(sK3)
| ~ spl33_19 ),
inference(resolution,[],[f1053,f307]) ).
fof(f1053,plain,
( element(sK5,powerset(the_carrier(sK3)))
| ~ spl33_19 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1123,plain,
( spl33_20
| ~ spl33_21
| ~ spl33_19 ),
inference(avatar_split_clause,[],[f1096,f1051,f1120,f1116]) ).
fof(f1116,plain,
( spl33_20
<=> boundary_set(sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_20])]) ).
fof(f1120,plain,
( spl33_21
<=> empty(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_21])]) ).
fof(f1096,plain,
( ~ empty(sK5)
| boundary_set(sK5,sK3)
| ~ spl33_19 ),
inference(subsumption_resolution,[],[f1088,f240]) ).
fof(f1088,plain,
( ~ empty(sK5)
| boundary_set(sK5,sK3)
| ~ top_str(sK3)
| ~ spl33_19 ),
inference(resolution,[],[f1053,f272]) ).
fof(f1087,plain,
( spl33_4
| ~ spl33_5 ),
inference(avatar_contradiction_clause,[],[f1086]) ).
fof(f1086,plain,
( $false
| spl33_4
| ~ spl33_5 ),
inference(global_subsumption,[],[f389,f391,f334,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f347,f744,f743,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f507,f567,f768,f645,f646,f1075,f566,f489,f578,f627,f1081,f1077,f1078,f1079,f1080]) ).
fof(f578,plain,
( sK5 != topstr_closure(sK3,sK10(sK28(sK7,sK6)))
| spl33_4 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f1085,plain,
( spl33_4
| ~ spl33_5 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1084,plain,
( $false
| spl33_4
| ~ spl33_5 ),
inference(global_subsumption,[],[f389,f391,f334,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f347,f744,f743,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f507,f567,f768,f645,f646,f1075,f566,f489,f578,f627,f1081,f1077,f1078,f1079]) ).
fof(f1083,plain,
( spl33_4
| ~ spl33_5 ),
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1082,plain,
( $false
| spl33_4
| ~ spl33_5 ),
inference(global_subsumption,[],[f389,f391,f334,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f347,f744,f743,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f507,f567,f768,f645,f646,f1075,f566,f489,f578,f627,f1081,f1077,f1078]) ).
fof(f1074,plain,
( ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| spl33_19 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
fof(f1073,plain,
( $false
| ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| spl33_19 ),
inference(global_subsumption,[],[f627,f389,f391,f334,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f489,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f566,f493,f494,f486,f488,f298,f581,f579,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f707,f347,f744,f743,f746,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f1052,f507,f567,f768,f1064,f1065,f1066,f727]) ).
fof(f1066,plain,
( ~ element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_4
| spl33_19 ),
inference(subsumption_resolution,[],[f746,f1052]) ).
fof(f1065,plain,
( ~ element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_4
| spl33_19 ),
inference(global_subsumption,[],[f389,f391,f334,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f489,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f566,f493,f494,f486,f488,f298,f581,f579,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f707,f347,f744,f743,f746,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f1052,f507,f567,f768,f1064]) ).
fof(f1064,plain,
( ~ empty(sK5)
| boundary_set(sK5,sK3)
| ~ element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_4 ),
inference(forward_demodulation,[],[f1063,f579]) ).
fof(f1063,plain,
( boundary_set(sK5,sK3)
| ~ empty(topstr_closure(sK3,sK10(sK28(sK7,sK6))))
| ~ element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f840,f240]) ).
fof(f840,plain,
( boundary_set(sK5,sK3)
| ~ top_str(sK3)
| ~ empty(topstr_closure(sK3,sK10(sK28(sK7,sK6))))
| ~ element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_4 ),
inference(superposition,[],[f742,f579]) ).
fof(f1052,plain,
( ~ element(sK5,powerset(the_carrier(sK3)))
| spl33_19 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f746,plain,
( element(sK5,powerset(the_carrier(sK3)))
| ~ element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f739,f240]) ).
fof(f739,plain,
( element(sK5,powerset(the_carrier(sK3)))
| ~ element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ top_str(sK3)
| ~ spl33_4 ),
inference(superposition,[],[f347,f579]) ).
fof(f707,plain,
( closed_subset(sK5,sK3)
| ~ element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f706,f239]) ).
fof(f706,plain,
( closed_subset(sK5,sK3)
| ~ element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ topological_space(sK3)
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f704,f240]) ).
fof(f704,plain,
( closed_subset(sK5,sK3)
| ~ element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ top_str(sK3)
| ~ topological_space(sK3)
| ~ spl33_4 ),
inference(superposition,[],[f346,f579]) ).
fof(f1072,plain,
( ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| spl33_19 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
fof(f1071,plain,
( $false
| ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| spl33_19 ),
inference(global_subsumption,[],[f645,f389,f391,f334,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f489,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f566,f493,f494,f486,f488,f298,f581,f579,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f707,f347,f744,f743,f746,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f1052,f507,f567,f768,f1064,f1065,f1066,f727]) ).
fof(f1070,plain,
( ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| spl33_19 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1069,plain,
( $false
| ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| spl33_19 ),
inference(global_subsumption,[],[f646,f389,f391,f334,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f489,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f566,f493,f494,f486,f488,f298,f581,f579,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f707,f347,f744,f743,f746,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f1052,f507,f567,f768,f1064,f1065,f1066,f727]) ).
fof(f1068,plain,
( ~ spl33_4
| ~ spl33_11
| spl33_19 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
fof(f1067,plain,
( $false
| ~ spl33_4
| ~ spl33_11
| spl33_19 ),
inference(global_subsumption,[],[f389,f391,f334,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f489,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f566,f493,f494,f486,f488,f298,f581,f579,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f707,f347,f744,f743,f746,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f557,f506,f980,f537,f526,f331,f332,f333,f1052,f507,f567,f768,f1064,f1065,f1066,f727]) ).
fof(f1062,plain,
( ~ spl33_1
| ~ spl33_3
| spl33_5
| spl33_19 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1061,plain,
( $false
| ~ spl33_1
| ~ spl33_3
| spl33_5
| spl33_19 ),
inference(subsumption_resolution,[],[f1060,f641]) ).
fof(f641,plain,
( in(sK28(sK7,sK6),sK7)
| spl33_5 ),
inference(subsumption_resolution,[],[f636,f259]) ).
fof(f636,plain,
( in(sK28(sK7,sK6),sK7)
| sK6 = sK7
| spl33_5 ),
inference(resolution,[],[f628,f353]) ).
fof(f628,plain,
( ~ in(sK28(sK7,sK6),sK6)
| spl33_5 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f1060,plain,
( ~ in(sK28(sK7,sK6),sK7)
| ~ spl33_1
| ~ spl33_3
| spl33_19 ),
inference(resolution,[],[f1059,f949]) ).
fof(f1059,plain,
( ~ element(sK8(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_3
| spl33_19 ),
inference(global_subsumption,[],[f389,f391,f334,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f489,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f566,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f347,f744,f743,f523,f533,f340,f543,f553,f563,f250,f752,f753,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f768,f567,f557,f507,f506,f980,f537,f526,f575,f1006,f331,f332,f333,f1052,f1005]) ).
fof(f1005,plain,
( ~ empty(sK5)
| boundary_set(sK5,sK3)
| ~ element(sK8(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_3 ),
inference(forward_demodulation,[],[f1004,f575]) ).
fof(f1004,plain,
( boundary_set(sK5,sK3)
| ~ empty(topstr_closure(sK3,sK8(sK28(sK7,sK6))))
| ~ element(sK8(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_3 ),
inference(subsumption_resolution,[],[f1001,f240]) ).
fof(f1001,plain,
( boundary_set(sK5,sK3)
| ~ top_str(sK3)
| ~ empty(topstr_closure(sK3,sK8(sK28(sK7,sK6))))
| ~ element(sK8(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_3 ),
inference(superposition,[],[f742,f575]) ).
fof(f1006,plain,
( element(sK5,powerset(the_carrier(sK3)))
| ~ element(sK8(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ spl33_3 ),
inference(subsumption_resolution,[],[f1002,f240]) ).
fof(f1002,plain,
( element(sK5,powerset(the_carrier(sK3)))
| ~ element(sK8(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| ~ top_str(sK3)
| ~ spl33_3 ),
inference(superposition,[],[f347,f575]) ).
fof(f575,plain,
( sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6)))
| ~ spl33_3 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl33_3
<=> sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_3])]) ).
fof(f1054,plain,
( ~ spl33_18
| spl33_19
| ~ spl33_8 ),
inference(avatar_split_clause,[],[f750,f676,f1051,f1047]) ).
fof(f750,plain,
( element(sK5,powerset(the_carrier(sK3)))
| ~ element(sK8(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ spl33_8 ),
inference(subsumption_resolution,[],[f741,f240]) ).
fof(f741,plain,
( element(sK5,powerset(the_carrier(sK3)))
| ~ element(sK8(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ top_str(sK3)
| ~ spl33_8 ),
inference(superposition,[],[f347,f678]) ).
fof(f1042,plain,
( ~ spl33_16
| spl33_17
| ~ spl33_1 ),
inference(avatar_split_clause,[],[f959,f405,f1040,f1036]) ).
fof(f1036,plain,
( spl33_16
<=> finite(the_carrier(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_16])]) ).
fof(f1040,plain,
( spl33_17
<=> ! [X0] :
( ~ in(X0,sK6)
| finite(sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_17])]) ).
fof(f959,plain,
( ! [X0] :
( ~ in(X0,sK6)
| finite(sK10(X0))
| ~ finite(the_carrier(sK3)) )
| ~ spl33_1 ),
inference(resolution,[],[f945,f282]) ).
fof(f945,plain,
( ! [X0] :
( element(sK10(X0),powerset(the_carrier(sK3)))
| ~ in(X0,sK6) )
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f944,f238]) ).
fof(f944,plain,
( ! [X0] :
( element(sK10(X0),powerset(the_carrier(sK3)))
| empty_carrier(sK3)
| ~ in(X0,sK6) )
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f943,f406]) ).
fof(f943,plain,
! [X0] :
( element(sK10(X0),powerset(the_carrier(sK3)))
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ in(X0,sK6) ),
inference(subsumption_resolution,[],[f942,f241]) ).
fof(f942,plain,
! [X0] :
( element(sK10(X0),powerset(the_carrier(sK3)))
| empty_carrier(sK4)
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ in(X0,sK6) ),
inference(subsumption_resolution,[],[f940,f244]) ).
fof(f940,plain,
! [X0] :
( element(sK10(X0),powerset(the_carrier(sK3)))
| ~ net_str(sK4,sK3)
| empty_carrier(sK4)
| ~ one_sorted_str(sK3)
| empty_carrier(sK3)
| ~ in(X0,sK6) ),
inference(resolution,[],[f345,f246]) ).
fof(f988,plain,
( ~ spl33_3
| spl33_7
| ~ spl33_9 ),
inference(avatar_contradiction_clause,[],[f987]) ).
fof(f987,plain,
( $false
| ~ spl33_3
| spl33_7
| ~ spl33_9 ),
inference(global_subsumption,[],[f575,f389,f391,f334,f333,f332,f331,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f489,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f566,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f684,f719,f718,f724,f347,f744,f743,f523,f533,f340,f543,f553,f563,f250,f752,f753,f765,f766,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f768,f567,f557,f507,f506,f980,f537,f526,f717,f673]) ).
fof(f673,plain,
( sK5 != topstr_closure(sK3,sK10(sK28(sK6,sK7)))
| spl33_7 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f717,plain,
( sK5 = topstr_closure(sK3,sK10(sK28(sK6,sK7)))
| ~ spl33_9 ),
inference(resolution,[],[f684,f248]) ).
fof(f765,plain,
( sK10(sK28(sK6,sK7)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK28(sK6,sK7))))
| sK28(sK6,sK7) = sK9(sK28(sK6,sK7))
| ~ spl33_9 ),
inference(forward_demodulation,[],[f764,f718]) ).
fof(f724,plain,
( element(sK28(sK6,sK7),the_carrier(sK4))
| ~ spl33_9 ),
inference(subsumption_resolution,[],[f720,f684]) ).
fof(f720,plain,
( element(sK28(sK6,sK7),the_carrier(sK4))
| ~ in(sK28(sK6,sK7),sK6)
| ~ spl33_9 ),
inference(superposition,[],[f247,f718]) ).
fof(f719,plain,
( ~ in(sK6,sK28(sK6,sK7))
| ~ spl33_9 ),
inference(resolution,[],[f684,f329]) ).
fof(f986,plain,
( spl33_5
| spl33_7
| ~ spl33_9 ),
inference(avatar_contradiction_clause,[],[f985]) ).
fof(f985,plain,
( $false
| spl33_5
| spl33_7
| ~ spl33_9 ),
inference(global_subsumption,[],[f628,f389,f391,f334,f333,f332,f331,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f489,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f566,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f684,f719,f718,f724,f347,f744,f743,f523,f533,f340,f543,f553,f563,f250,f752,f753,f765,f766,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f768,f567,f557,f507,f506,f980,f537,f526,f717,f673]) ).
fof(f984,plain,
( spl33_5
| spl33_7
| ~ spl33_9 ),
inference(avatar_contradiction_clause,[],[f983]) ).
fof(f983,plain,
( $false
| spl33_5
| spl33_7
| ~ spl33_9 ),
inference(global_subsumption,[],[f641,f389,f391,f334,f333,f332,f331,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f489,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f566,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f684,f719,f718,f724,f347,f744,f743,f523,f533,f340,f543,f553,f563,f250,f752,f753,f765,f766,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f768,f567,f557,f507,f506,f980,f537,f526,f717,f673]) ).
fof(f982,plain,
( spl33_7
| ~ spl33_9 ),
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f981,plain,
( $false
| spl33_7
| ~ spl33_9 ),
inference(global_subsumption,[],[f389,f391,f334,f333,f332,f331,f344,f343,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f437,f356,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f469,f353,f471,f489,f354,f472,f473,f474,f527,f476,f536,f477,f546,f547,f478,f556,f479,f566,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f517,f346,f684,f719,f718,f724,f347,f744,f743,f523,f533,f340,f543,f553,f563,f250,f752,f753,f765,f766,f442,f470,f774,f475,f480,f439,f776,f257,f795,f796,f738,f836,f816,f835,f829,f825,f830,f831,f832,f837,f818,f819,f820,f833,f834,f468,f838,f839,f742,f307,f864,f844,f846,f847,f848,f861,f868,f858,f866,f871,f881,f879,f880,f875,f872,f887,f873,f892,f885,f309,f919,f898,f900,f901,f902,f920,f922,f914,f923,f926,f924,f886,f890,f867,f935,f938,f939,f921,f345,f976,f771,f768,f567,f557,f507,f506,f980,f537,f526,f717,f673]) ).
fof(f963,plain,
( ~ spl33_1
| ~ spl33_7
| ~ spl33_9
| spl33_12 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f962,plain,
( $false
| ~ spl33_1
| ~ spl33_7
| ~ spl33_9
| spl33_12 ),
inference(subsumption_resolution,[],[f951,f684]) ).
fof(f951,plain,
( ~ in(sK28(sK6,sK7),sK6)
| ~ spl33_1
| ~ spl33_7
| spl33_12 ),
inference(resolution,[],[f945,f749]) ).
fof(f749,plain,
( ~ element(sK10(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ spl33_7
| spl33_12 ),
inference(global_subsumption,[],[f389,f257,f391,f250,f307,f309,f334,f333,f332,f331,f340,f344,f343,f345,f351,f359,f363,f362,f361,f360,f365,f364,f367,f366,f369,f368,f373,f372,f375,f374,f379,f378,f377,f376,f238,f239,f240,f241,f242,f243,f380,f381,f382,f383,f384,f385,f386,f387,f244,f259,f260,f325,f327,f328,f269,f271,f284,f262,f264,f265,f267,f268,f274,f280,f281,f285,f286,f302,f311,f324,f245,f249,f252,f256,f275,f277,f278,f304,f305,f312,f313,f314,f315,f316,f326,f329,f392,f395,f397,f396,f393,f400,f246,f247,f253,f254,f248,f255,f261,f263,f266,f276,f401,f403,f287,f417,f295,f297,f336,f337,f339,f273,f282,f423,f419,f310,f318,f320,f321,f323,f330,f338,f352,f358,f429,f370,f422,f425,f270,f279,f289,f293,f335,f348,f426,f427,f428,f430,f290,f291,f294,f296,f317,f319,f322,f357,f436,f438,f432,f433,f434,f435,f355,f439,f437,f356,f442,f441,f440,f445,f444,f272,f446,f461,f457,f458,f459,f288,f292,f463,f466,f341,f342,f349,f350,f468,f470,f469,f353,f475,f480,f471,f489,f354,f472,f506,f507,f473,f474,f526,f527,f523,f476,f536,f537,f533,f477,f546,f547,f543,f478,f556,f557,f553,f479,f566,f567,f563,f493,f494,f486,f488,f298,f581,f600,f601,f594,f595,f596,f503,f299,f604,f623,f624,f617,f513,f300,f650,f669,f670,f665,f516,f674,f517,f346,f709,f731,f347,f744,f743,f742,f738,f748]) ).
fof(f748,plain,
( element(sK5,powerset(the_carrier(sK3)))
| ~ element(sK10(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ spl33_7 ),
inference(subsumption_resolution,[],[f740,f240]) ).
fof(f740,plain,
( element(sK5,powerset(the_carrier(sK3)))
| ~ element(sK10(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ top_str(sK3)
| ~ spl33_7 ),
inference(superposition,[],[f347,f674]) ).
fof(f731,plain,
( ~ closed_subset(sK5,sK3)
| spl33_12 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f730,plain,
( spl33_12
<=> closed_subset(sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_12])]) ).
fof(f709,plain,
( closed_subset(sK5,sK3)
| ~ element(sK10(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ spl33_7 ),
inference(subsumption_resolution,[],[f708,f239]) ).
fof(f708,plain,
( closed_subset(sK5,sK3)
| ~ element(sK10(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ topological_space(sK3)
| ~ spl33_7 ),
inference(subsumption_resolution,[],[f705,f240]) ).
fof(f705,plain,
( closed_subset(sK5,sK3)
| ~ element(sK10(sK28(sK6,sK7)),powerset(the_carrier(sK3)))
| ~ top_str(sK3)
| ~ topological_space(sK3)
| ~ spl33_7 ),
inference(superposition,[],[f346,f674]) ).
fof(f961,plain,
( ~ spl33_1
| ~ spl33_5
| spl33_11 ),
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f960,plain,
( $false
| ~ spl33_1
| ~ spl33_5
| spl33_11 ),
inference(subsumption_resolution,[],[f950,f627]) ).
fof(f950,plain,
( ~ in(sK28(sK7,sK6),sK6)
| ~ spl33_1
| spl33_11 ),
inference(resolution,[],[f945,f728]) ).
fof(f728,plain,
( ~ element(sK10(sK28(sK7,sK6)),powerset(the_carrier(sK3)))
| spl33_11 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f807,plain,
( ~ spl33_2
| spl33_14 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl33_2
| spl33_14 ),
inference(subsumption_resolution,[],[f805,f411]) ).
fof(f805,plain,
( ~ rel_str(sK4)
| spl33_14 ),
inference(resolution,[],[f786,f430]) ).
fof(f786,plain,
( ~ relation_of2(the_InternalRel(sK4),the_carrier(sK4),the_carrier(sK4))
| spl33_14 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f791,plain,
( ~ spl33_13
| ~ spl33_14
| spl33_15
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f777,f409,f788,f784,f780]) ).
fof(f780,plain,
( spl33_13
<=> finite(the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_13])]) ).
fof(f788,plain,
( spl33_15
<=> finite(relation_rng(the_InternalRel(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_15])]) ).
fof(f777,plain,
( finite(relation_rng(the_InternalRel(sK4)))
| ~ relation_of2(the_InternalRel(sK4),the_carrier(sK4),the_carrier(sK4))
| ~ finite(the_carrier(sK4))
| ~ spl33_2 ),
inference(superposition,[],[f441,f775]) ).
fof(f733,plain,
( ~ spl33_11
| spl33_12
| ~ spl33_4 ),
inference(avatar_split_clause,[],[f707,f577,f730,f726]) ).
fof(f723,plain,
( ~ spl33_9
| spl33_10 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f722,plain,
( $false
| ~ spl33_9
| spl33_10 ),
inference(subsumption_resolution,[],[f721,f684]) ).
fof(f721,plain,
( ~ in(sK28(sK6,sK7),sK6)
| ~ spl33_9
| spl33_10 ),
inference(subsumption_resolution,[],[f720,f688]) ).
fof(f688,plain,
( ~ element(sK28(sK6,sK7),the_carrier(sK4))
| spl33_10 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f716,plain,
( spl33_9
| spl33_10 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| spl33_9
| spl33_10 ),
inference(subsumption_resolution,[],[f714,f698]) ).
fof(f714,plain,
( ~ in(sK28(sK6,sK7),sK7)
| spl33_9
| spl33_10 ),
inference(subsumption_resolution,[],[f713,f688]) ).
fof(f713,plain,
( element(sK28(sK6,sK7),the_carrier(sK4))
| ~ in(sK28(sK6,sK7),sK7)
| spl33_9 ),
inference(superposition,[],[f254,f694]) ).
fof(f697,plain,
( spl33_8
| spl33_9 ),
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f696,plain,
( $false
| spl33_8
| spl33_9 ),
inference(subsumption_resolution,[],[f695,f677]) ).
fof(f677,plain,
( sK5 != topstr_closure(sK3,sK8(sK28(sK6,sK7)))
| spl33_8 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f690,plain,
( ~ spl33_9
| spl33_10
| spl33_8 ),
inference(avatar_split_clause,[],[f681,f676,f687,f683]) ).
fof(f681,plain,
( element(sK28(sK6,sK7),the_carrier(sK4))
| ~ in(sK28(sK6,sK7),sK6)
| spl33_8 ),
inference(superposition,[],[f247,f680]) ).
fof(f680,plain,
( sK28(sK6,sK7) = sK11(sK28(sK6,sK7))
| spl33_8 ),
inference(subsumption_resolution,[],[f517,f677]) ).
fof(f679,plain,
( spl33_7
| spl33_8 ),
inference(avatar_split_clause,[],[f516,f676,f672]) ).
fof(f640,plain,
( spl33_3
| spl33_5 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f639,plain,
( $false
| spl33_3
| spl33_5 ),
inference(subsumption_resolution,[],[f638,f574]) ).
fof(f574,plain,
( sK5 != topstr_closure(sK3,sK8(sK28(sK7,sK6)))
| spl33_3 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f638,plain,
( sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6)))
| spl33_5 ),
inference(subsumption_resolution,[],[f635,f259]) ).
fof(f635,plain,
( sK6 = sK7
| sK5 = topstr_closure(sK3,sK8(sK28(sK7,sK6)))
| spl33_5 ),
inference(resolution,[],[f628,f478]) ).
fof(f633,plain,
( ~ spl33_5
| spl33_6
| spl33_3 ),
inference(avatar_split_clause,[],[f603,f573,f630,f626]) ).
fof(f603,plain,
( element(sK28(sK7,sK6),the_carrier(sK4))
| ~ in(sK28(sK7,sK6),sK6)
| spl33_3 ),
inference(superposition,[],[f247,f602]) ).
fof(f602,plain,
( sK28(sK7,sK6) = sK11(sK28(sK7,sK6))
| spl33_3 ),
inference(subsumption_resolution,[],[f506,f574]) ).
fof(f580,plain,
( spl33_3
| spl33_4 ),
inference(avatar_split_clause,[],[f488,f577,f573]) ).
fof(f415,plain,
spl33_1,
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f414,plain,
( $false
| spl33_1 ),
inference(subsumption_resolution,[],[f413,f240]) ).
fof(f413,plain,
( ~ top_str(sK3)
| spl33_1 ),
inference(resolution,[],[f407,f271]) ).
fof(f407,plain,
( ~ one_sorted_str(sK3)
| spl33_1 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f412,plain,
( ~ spl33_1
| spl33_2 ),
inference(avatar_split_clause,[],[f401,f409,f405]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU401+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 20:58:36 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (312)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (315)WARNING: value z3 for option sas not known
% 0.15/0.38 % (316)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (314)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (315)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (317)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (318)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (313)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (319)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.22/0.42 TRYING [3]
% 0.22/0.44 TRYING [1]
% 0.22/0.44 TRYING [2]
% 0.22/0.50 % (315)First to succeed.
% 0.22/0.52 % (315)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Theorem for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53 % (315)------------------------------
% 0.22/0.53 % (315)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.53 % (315)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (315)Memory used [KB]: 2319
% 0.22/0.53 % (315)Time elapsed: 0.143 s
% 0.22/0.53 % (315)Instructions burned: 242 (million)
% 0.22/0.53 % (315)------------------------------
% 0.22/0.53 % (315)------------------------------
% 0.22/0.53 % (312)Success in time 0.169 s
%------------------------------------------------------------------------------