TSTP Solution File: SEU299+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU299+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 : n015.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 15:27:49 EDT 2024
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 175
% Syntax : Number of formulae : 1666 ( 64 unt; 0 def)
% Number of atoms : 6788 (1072 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 7883 (2761 ~;4417 |; 512 &)
% ( 116 <=>; 74 =>; 0 <=; 3 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 128 ( 126 usr; 107 prp; 0-2 aty)
% Number of functors : 37 ( 37 usr; 16 con; 0-2 aty)
% Number of variables : 1233 (1077 !; 156 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3313,plain,
$false,
inference(avatar_sat_refutation,[],[f345,f555,f584,f588,f601,f622,f754,f761,f784,f831,f844,f848,f877,f896,f929,f941,f967,f971,f981,f994,f998,f1019,f1032,f1036,f1056,f1074,f1078,f1094,f1125,f1128,f1131,f1134,f1176,f1180,f1267,f1277,f1314,f1327,f1331,f1343,f1349,f1360,f1385,f1399,f1403,f1415,f1421,f1432,f1457,f1478,f1517,f1538,f1550,f1563,f1567,f1613,f1622,f1631,f1640,f1803,f1818,f1841,f1843,f1901,f1914,f1929,f2000,f2012,f2075,f2099,f2160,f2175,f2199,f2203,f2206,f2208,f2267,f2291,f2328,f2423,f2429,f2467,f2489,f2526,f2537,f2547,f2562,f2599,f2647,f2657,f2661,f2664,f2666,f2756,f2761,f2764,f2810,f2916,f2922,f2962,f3048,f3058,f3068,f3079,f3097,f3112,f3114,f3121,f3192,f3194,f3196,f3200,f3202,f3204,f3237,f3241,f3282,f3312]) ).
fof(f3312,plain,
( spl45_1
| ~ spl45_18
| ~ spl45_64
| spl45_66
| ~ spl45_67 ),
inference(avatar_contradiction_clause,[],[f3311]) ).
fof(f3311,plain,
( $false
| spl45_1
| ~ spl45_18
| ~ spl45_64
| spl45_66
| ~ spl45_67 ),
inference(subsumption_resolution,[],[f3310,f1895]) ).
fof(f1895,plain,
( ~ sP1(sK13(sK27(sK12)),sK12)
| spl45_66 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f1894,plain,
( spl45_66
<=> sP1(sK13(sK27(sK12)),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_66])]) ).
fof(f3310,plain,
( sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| ~ spl45_18
| ~ spl45_64
| ~ spl45_67 ),
inference(subsumption_resolution,[],[f3309,f928]) ).
fof(f928,plain,
( ordinal(sK13(sK27(sK12)))
| ~ spl45_18 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f926,plain,
( spl45_18
<=> ordinal(sK13(sK27(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_18])]) ).
fof(f3309,plain,
( ~ ordinal(sK13(sK27(sK12)))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| ~ spl45_64
| ~ spl45_67 ),
inference(subsumption_resolution,[],[f3303,f1899]) ).
fof(f1899,plain,
( sP0(sK8(sK13(sK27(sK12))))
| ~ spl45_67 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f1898,plain,
( spl45_67
<=> sP0(sK8(sK13(sK27(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_67])]) ).
fof(f3303,plain,
( ~ sP0(sK8(sK13(sK27(sK12))))
| ~ ordinal(sK13(sK27(sK12)))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| ~ spl45_64 ),
inference(resolution,[],[f3175,f325]) ).
fof(f325,plain,
! [X2,X1] :
( ~ in(X2,succ(X1))
| ~ sP0(sK8(X2))
| ~ ordinal(X2)
| sP1(X2,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X2,X0,X1] :
( sP1(X0,X1)
| ~ sP0(sK8(X2))
| X0 != X2
| ~ ordinal(X2)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ! [X2] :
( ( ~ sP0(sK8(X2))
& empty_set != sK8(X2)
& element(sK8(X2),powerset(powerset(X2)))
& in(X2,omega) )
| X0 != X2
| ~ ordinal(X2) )
| ~ in(X0,succ(X1)) )
& ( ( ( ! [X5] :
( sP0(X5)
| empty_set = X5
| ~ element(X5,powerset(powerset(sK9(X0)))) )
| ~ in(sK9(X0),omega) )
& sK9(X0) = X0
& ordinal(sK9(X0))
& in(X0,succ(X1)) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f97,f99,f98]) ).
fof(f98,plain,
! [X2] :
( ? [X3] :
( ~ sP0(X3)
& empty_set != X3
& element(X3,powerset(powerset(X2))) )
=> ( ~ sP0(sK8(X2))
& empty_set != sK8(X2)
& element(sK8(X2),powerset(powerset(X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ? [X4] :
( ( ! [X5] :
( sP0(X5)
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X0 = X4
& ordinal(X4) )
=> ( ( ! [X5] :
( sP0(X5)
| empty_set = X5
| ~ element(X5,powerset(powerset(sK9(X0)))) )
| ~ in(sK9(X0),omega) )
& sK9(X0) = X0
& ordinal(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ! [X2] :
( ( ? [X3] :
( ~ sP0(X3)
& empty_set != X3
& element(X3,powerset(powerset(X2))) )
& in(X2,omega) )
| X0 != X2
| ~ ordinal(X2) )
| ~ in(X0,succ(X1)) )
& ( ( ? [X4] :
( ( ! [X5] :
( sP0(X5)
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X0 = X4
& ordinal(X4) )
& in(X0,succ(X1)) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X2,X0] :
( ( sP1(X2,X0)
| ! [X3] :
( ( ? [X4] :
( ~ sP0(X4)
& empty_set != X4
& element(X4,powerset(powerset(X3))) )
& in(X3,omega) )
| X2 != X3
| ~ ordinal(X3) )
| ~ in(X2,succ(X0)) )
& ( ( ? [X3] :
( ( ! [X4] :
( sP0(X4)
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) )
| ~ sP1(X2,X0) ) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X2,X0] :
( ( sP1(X2,X0)
| ! [X3] :
( ( ? [X4] :
( ~ sP0(X4)
& empty_set != X4
& element(X4,powerset(powerset(X3))) )
& in(X3,omega) )
| X2 != X3
| ~ ordinal(X3) )
| ~ in(X2,succ(X0)) )
& ( ( ? [X3] :
( ( ! [X4] :
( sP0(X4)
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) )
| ~ sP1(X2,X0) ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X2,X0] :
( sP1(X2,X0)
<=> ( ? [X3] :
( ( ! [X4] :
( sP0(X4)
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f3175,plain,
( in(sK13(sK27(sK12)),succ(sK12))
| spl45_1
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f3174,f189]) ).
fof(f189,plain,
ordinal(sK12),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ! [X1] :
( ( ~ sP1(sK13(X1),sK12)
| ~ in(sK13(X1),X1) )
& ( sP1(sK13(X1),sK12)
| in(sK13(X1),X1) ) )
& ordinal(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f106,f108,f107]) ).
fof(f107,plain,
( ? [X0] :
( ! [X1] :
? [X2] :
( ( ~ sP1(X2,X0)
| ~ in(X2,X1) )
& ( sP1(X2,X0)
| in(X2,X1) ) )
& ordinal(X0) )
=> ( ! [X1] :
? [X2] :
( ( ~ sP1(X2,sK12)
| ~ in(X2,X1) )
& ( sP1(X2,sK12)
| in(X2,X1) ) )
& ordinal(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X1] :
( ? [X2] :
( ( ~ sP1(X2,sK12)
| ~ in(X2,X1) )
& ( sP1(X2,sK12)
| in(X2,X1) ) )
=> ( ( ~ sP1(sK13(X1),sK12)
| ~ in(sK13(X1),X1) )
& ( sP1(sK13(X1),sK12)
| in(sK13(X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0] :
( ! [X1] :
? [X2] :
( ( ~ sP1(X2,X0)
| ~ in(X2,X1) )
& ( sP1(X2,X0)
| in(X2,X1) ) )
& ordinal(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
? [X0] :
( ! [X1] :
? [X2] :
( in(X2,X1)
<~> sP1(X2,X0) )
& ordinal(X0) ),
inference(definition_folding,[],[f61,f85,f84]) ).
fof(f84,plain,
! [X4] :
( sP0(X4)
<=> ? [X5] :
( ! [X6] :
( X5 = X6
| ~ subset(X5,X6)
| ~ in(X6,X4) )
& in(X5,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f61,plain,
? [X0] :
( ! [X1] :
? [X2] :
( in(X2,X1)
<~> ( ? [X3] :
( ( ! [X4] :
( ? [X5] :
( ! [X6] :
( X5 = X6
| ~ subset(X5,X6)
| ~ in(X6,X4) )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) ) )
& ordinal(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0] :
( ! [X1] :
? [X2] :
( in(X2,X1)
<~> ( ? [X3] :
( ( ! [X4] :
( ? [X5] :
( ! [X6] :
( X5 = X6
| ~ subset(X5,X6)
| ~ in(X6,X4) )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) ) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ? [X1] :
! [X2] :
( in(X2,X1)
<=> ( ? [X3] :
( ( in(X3,omega)
=> ! [X4] :
( element(X4,powerset(powerset(X3)))
=> ~ ( ! [X5] :
~ ( ! [X6] :
( ( subset(X5,X6)
& in(X6,X4) )
=> X5 = X6 )
& in(X5,X4) )
& empty_set != X4 ) ) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ordinal(X0)
=> ? [X1] :
! [X2] :
( in(X2,X1)
<=> ( ? [X3] :
( ( in(X3,omega)
=> ! [X4] :
( element(X4,powerset(powerset(X3)))
=> ~ ( ! [X5] :
~ ( ! [X6] :
( ( subset(X5,X6)
& in(X6,X4) )
=> X5 = X6 )
& in(X5,X4) )
& empty_set != X4 ) ) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e18_27__finset_1__1) ).
fof(f3174,plain,
( in(sK13(sK27(sK12)),succ(sK12))
| ~ ordinal(sK12)
| spl45_1
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f3163,f1797]) ).
fof(f1797,plain,
( in(sK13(sK27(sK12)),sK27(sK12))
| ~ spl45_64 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f1796,plain,
( spl45_64
<=> in(sK13(sK27(sK12)),sK27(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_64])]) ).
fof(f3163,plain,
( in(sK13(sK27(sK12)),succ(sK12))
| ~ in(sK13(sK27(sK12)),sK27(sK12))
| ~ ordinal(sK12)
| spl45_1
| ~ spl45_64 ),
inference(superposition,[],[f667,f3122]) ).
fof(f3122,plain,
( sK13(sK27(sK12)) = sK28(sK12,sK13(sK27(sK12)))
| spl45_1
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f1819,f189]) ).
fof(f1819,plain,
( sK13(sK27(sK12)) = sK28(sK12,sK13(sK27(sK12)))
| ~ ordinal(sK12)
| spl45_1
| ~ spl45_64 ),
inference(resolution,[],[f1797,f635]) ).
fof(f635,plain,
( ! [X2,X0] :
( ~ in(X2,sK27(X0))
| sK28(X0,X2) = X2
| ~ ordinal(X0) )
| spl45_1 ),
inference(subsumption_resolution,[],[f253,f340]) ).
fof(f340,plain,
( ~ sP6
| spl45_1 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f338,plain,
( spl45_1
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl45_1])]) ).
fof(f253,plain,
! [X2,X0] :
( sK28(X0,X2) = X2
| ~ in(X2,sK27(X0))
| sP6
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X2] :
( ( in(X2,sK27(X0))
| ! [X3] :
( ~ sP5(X2)
| X2 != X3
| ~ in(X3,succ(X0)) ) )
& ( ( sP5(X2)
& sK28(X0,X2) = X2
& in(sK28(X0,X2),succ(X0)) )
| ~ in(X2,sK27(X0)) ) )
| sP6
| ~ ordinal(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f139,f141,f140]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ sP5(X2)
| X2 != X3
| ~ in(X3,succ(X0)) ) )
& ( ? [X4] :
( sP5(X2)
& X2 = X4
& in(X4,succ(X0)) )
| ~ in(X2,X1) ) )
=> ! [X2] :
( ( in(X2,sK27(X0))
| ! [X3] :
( ~ sP5(X2)
| X2 != X3
| ~ in(X3,succ(X0)) ) )
& ( ? [X4] :
( sP5(X2)
& X2 = X4
& in(X4,succ(X0)) )
| ~ in(X2,sK27(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0,X2] :
( ? [X4] :
( sP5(X2)
& X2 = X4
& in(X4,succ(X0)) )
=> ( sP5(X2)
& sK28(X0,X2) = X2
& in(sK28(X0,X2),succ(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ sP5(X2)
| X2 != X3
| ~ in(X3,succ(X0)) ) )
& ( ? [X4] :
( sP5(X2)
& X2 = X4
& in(X4,succ(X0)) )
| ~ in(X2,X1) ) )
| sP6
| ~ ordinal(X0) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ? [X12] :
! [X13] :
( ( in(X13,X12)
| ! [X14] :
( ~ sP5(X13)
| X13 != X14
| ~ in(X14,succ(X0)) ) )
& ( ? [X14] :
( sP5(X13)
& X13 = X14
& in(X14,succ(X0)) )
| ~ in(X13,X12) ) )
| sP6
| ~ ordinal(X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( sP5(X13)
& X13 = X14
& in(X14,succ(X0)) ) )
| sP6
| ~ ordinal(X0) ),
inference(definition_folding,[],[f72,f91,f90,f89,f88,f87]) ).
fof(f87,plain,
! [X2] :
( ? [X8] :
( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X2 = X8
& ordinal(X8) )
| ~ sP2(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f88,plain,
! [X3] :
( ? [X4] :
( ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X3 = X4
& ordinal(X4) )
| ~ sP3(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f89,plain,
! [X16] :
( sP4(X16)
<=> ? [X17] :
( ! [X18] :
( X17 = X18
| ~ subset(X17,X18)
| ~ in(X18,X16) )
& in(X17,X16) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f90,plain,
! [X13] :
( sP5(X13)
<=> ? [X15] :
( ( ! [X16] :
( sP4(X16)
| empty_set = X16
| ~ element(X16,powerset(powerset(X15))) )
| ~ in(X15,omega) )
& X13 = X15
& ordinal(X15) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f91,plain,
( ? [X1,X2,X3] :
( X2 != X3
& sP3(X3)
& X1 = X3
& sP2(X2)
& X1 = X2 )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f72,plain,
! [X0] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( ? [X15] :
( ( ! [X16] :
( ? [X17] :
( ! [X18] :
( X17 = X18
| ~ subset(X17,X18)
| ~ in(X18,X16) )
& in(X17,X16) )
| empty_set = X16
| ~ element(X16,powerset(powerset(X15))) )
| ~ in(X15,omega) )
& X13 = X15
& ordinal(X15) )
& X13 = X14
& in(X14,succ(X0)) ) )
| ? [X1,X2,X3] :
( X2 != X3
& ? [X4] :
( ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X3 = X4
& ordinal(X4) )
& X1 = X3
& ? [X8] :
( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X2 = X8
& ordinal(X8) )
& X1 = X2 )
| ~ ordinal(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( ? [X15] :
( ( ! [X16] :
( ? [X17] :
( ! [X18] :
( X17 = X18
| ~ subset(X17,X18)
| ~ in(X18,X16) )
& in(X17,X16) )
| empty_set = X16
| ~ element(X16,powerset(powerset(X15))) )
| ~ in(X15,omega) )
& X13 = X15
& ordinal(X15) )
& X13 = X14
& in(X14,succ(X0)) ) )
| ? [X1,X2,X3] :
( X2 != X3
& ? [X4] :
( ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X3 = X4
& ordinal(X4) )
& X1 = X3
& ? [X8] :
( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X2 = X8
& ordinal(X8) )
& X1 = X2 )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ordinal(X0)
=> ( ! [X1,X2,X3] :
( ( ? [X4] :
( ( in(X4,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X4)))
=> ~ ( ! [X6] :
~ ( ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 )
& in(X6,X5) )
& empty_set != X5 ) ) )
& X3 = X4
& ordinal(X4) )
& X1 = X3
& ? [X8] :
( ( in(X8,omega)
=> ! [X9] :
( element(X9,powerset(powerset(X8)))
=> ~ ( ! [X10] :
~ ( ! [X11] :
( ( subset(X10,X11)
& in(X11,X9) )
=> X10 = X11 )
& in(X10,X9) )
& empty_set != X9 ) ) )
& X2 = X8
& ordinal(X8) )
& X1 = X2 )
=> X2 = X3 )
=> ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( ? [X15] :
( ( in(X15,omega)
=> ! [X16] :
( element(X16,powerset(powerset(X15)))
=> ~ ( ! [X17] :
~ ( ! [X18] :
( ( subset(X17,X18)
& in(X18,X16) )
=> X17 = X18 )
& in(X17,X16) )
& empty_set != X16 ) ) )
& X13 = X15
& ordinal(X15) )
& X13 = X14
& in(X14,succ(X0)) ) ) ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ordinal(X0)
=> ( ! [X1,X2,X3] :
( ( ? [X8] :
( ( in(X8,omega)
=> ! [X9] :
( element(X9,powerset(powerset(X8)))
=> ~ ( ! [X10] :
~ ( ! [X11] :
( ( subset(X10,X11)
& in(X11,X9) )
=> X10 = X11 )
& in(X10,X9) )
& empty_set != X9 ) ) )
& X3 = X8
& ordinal(X8) )
& X1 = X3
& ? [X4] :
( ( in(X4,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X4)))
=> ~ ( ! [X6] :
~ ( ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 )
& in(X6,X5) )
& empty_set != X5 ) ) )
& X2 = X4
& ordinal(X4) )
& X1 = X2 )
=> X2 = X3 )
=> ? [X1] :
! [X2] :
( in(X2,X1)
<=> ? [X3] :
( ? [X12] :
( ( in(X12,omega)
=> ! [X13] :
( element(X13,powerset(powerset(X12)))
=> ~ ( ! [X14] :
~ ( ! [X15] :
( ( subset(X14,X15)
& in(X15,X13) )
=> X14 = X15 )
& in(X14,X13) )
& empty_set != X13 ) ) )
& X2 = X12
& ordinal(X12) )
& X2 = X3
& in(X3,succ(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e18_27__finset_1__1) ).
fof(f667,plain,
( ! [X2,X0] :
( in(sK28(X0,X2),succ(X0))
| ~ in(X2,sK27(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(subsumption_resolution,[],[f252,f340]) ).
fof(f252,plain,
! [X2,X0] :
( in(sK28(X0,X2),succ(X0))
| ~ in(X2,sK27(X0))
| sP6
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f3282,plain,
( spl45_1
| ~ spl45_17
| spl45_64
| ~ spl45_66 ),
inference(avatar_contradiction_clause,[],[f3281]) ).
fof(f3281,plain,
( $false
| spl45_1
| ~ spl45_17
| spl45_64
| ~ spl45_66 ),
inference(subsumption_resolution,[],[f3280,f1896]) ).
fof(f1896,plain,
( sP1(sK13(sK27(sK12)),sK12)
| ~ spl45_66 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f3280,plain,
( ~ sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| ~ spl45_17
| spl45_64 ),
inference(resolution,[],[f1816,f176]) ).
fof(f176,plain,
! [X0,X1] :
( in(X0,succ(X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f1816,plain,
( ~ in(sK13(sK27(sK12)),succ(sK12))
| spl45_1
| ~ spl45_17
| spl45_64 ),
inference(subsumption_resolution,[],[f1815,f189]) ).
fof(f1815,plain,
( ~ in(sK13(sK27(sK12)),succ(sK12))
| ~ ordinal(sK12)
| spl45_1
| ~ spl45_17
| spl45_64 ),
inference(subsumption_resolution,[],[f1804,f924]) ).
fof(f924,plain,
( sP5(sK13(sK27(sK12)))
| ~ spl45_17 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f922,plain,
( spl45_17
<=> sP5(sK13(sK27(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_17])]) ).
fof(f1804,plain,
( ~ sP5(sK13(sK27(sK12)))
| ~ in(sK13(sK27(sK12)),succ(sK12))
| ~ ordinal(sK12)
| spl45_1
| spl45_64 ),
inference(resolution,[],[f1798,f673]) ).
fof(f673,plain,
( ! [X3,X0] :
( in(X3,sK27(X0))
| ~ sP5(X3)
| ~ in(X3,succ(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(subsumption_resolution,[],[f333,f340]) ).
fof(f333,plain,
! [X3,X0] :
( in(X3,sK27(X0))
| ~ sP5(X3)
| ~ in(X3,succ(X0))
| sP6
| ~ ordinal(X0) ),
inference(equality_resolution,[],[f255]) ).
fof(f255,plain,
! [X2,X3,X0] :
( in(X2,sK27(X0))
| ~ sP5(X2)
| X2 != X3
| ~ in(X3,succ(X0))
| sP6
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f1798,plain,
( ~ in(sK13(sK27(sK12)),sK27(sK12))
| spl45_64 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f3241,plain,
( spl45_66
| spl45_64 ),
inference(avatar_split_clause,[],[f1805,f1796,f1894]) ).
fof(f1805,plain,
( sP1(sK13(sK27(sK12)),sK12)
| spl45_64 ),
inference(resolution,[],[f1798,f190]) ).
fof(f190,plain,
! [X1] :
( sP1(sK13(X1),sK12)
| in(sK13(X1),X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f3237,plain,
( spl45_1
| ~ spl45_18
| spl45_57
| ~ spl45_64
| spl45_66 ),
inference(avatar_contradiction_clause,[],[f3236]) ).
fof(f3236,plain,
( $false
| spl45_1
| ~ spl45_18
| spl45_57
| ~ spl45_64
| spl45_66 ),
inference(subsumption_resolution,[],[f3235,f1895]) ).
fof(f3235,plain,
( sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| ~ spl45_18
| spl45_57
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f3234,f928]) ).
fof(f3234,plain,
( ~ ordinal(sK13(sK27(sK12)))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| spl45_57
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f3227,f1612]) ).
fof(f1612,plain,
( ~ in(sK13(sK27(sK12)),omega)
| spl45_57 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f1610,plain,
( spl45_57
<=> in(sK13(sK27(sK12)),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_57])]) ).
fof(f3227,plain,
( in(sK13(sK27(sK12)),omega)
| ~ ordinal(sK13(sK27(sK12)))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| ~ spl45_64 ),
inference(resolution,[],[f3175,f328]) ).
fof(f328,plain,
! [X2,X1] :
( ~ in(X2,succ(X1))
| in(X2,omega)
| ~ ordinal(X2)
| sP1(X2,X1) ),
inference(equality_resolution,[],[f180]) ).
fof(f180,plain,
! [X2,X0,X1] :
( sP1(X0,X1)
| in(X2,omega)
| X0 != X2
| ~ ordinal(X2)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f3204,plain,
( spl45_64
| spl45_66 ),
inference(avatar_contradiction_clause,[],[f3203]) ).
fof(f3203,plain,
( $false
| spl45_64
| spl45_66 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f386,f186,f187,f188,f241,f242,f243,f331,f410,f412,f414,f415,f416,f325,f427,f432,f435,f328,f437,f442,f445,f409,f185,f240,f326,f463,f468,f471,f327,f513,f521,f519,f434,f444,f523,f470,f234,f567,f333,f252,f253,f254,f231,f229,f227,f230,f573,f625,f636,f639,f654,f179,f724,f728,f740,f741,f742,f743,f731,f571,f246,f793,f796,f250,f858,f859,f852,f853,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f857,f451,f1062,f1063,f452,f1106,f1107,f1110,f1111,f455,f1196,f1197,f1200,f1121,f1214,f1215,f1216,f1217,f1212,f456,f1226,f1227,f1210,f1245,f1246,f1247,f1248,f1243,f1209,f1291,f1292,f1293,f1294,f1289,f431,f441,f1490,f1493,f1489,f467,f428,f1208,f1582,f1583,f1584,f1585,f1580,f1009,f433,f1207,f1645,f1646,f1647,f1648,f1643,f438,f1661,f1663,f1664,f623,f658,f1666,f1668,f1686,f522,f1734,f1735,f1736,f443,f1786,f1788,f1789,f1805,f1806,f1809,f1810,f1811,f1812,f1813,f1814,f560,f1846,f561,f1934,f568,f2013,f569,f2102,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f514,f2935,f2936,f2937,f520,f3037,f3038,f3039,f789,f3070,f790,f3081,f794,f3088,f1895,f795,f3176,f3128,f1798]) ).
fof(f3128,plain,
( in(sK13(sK27(sK12)),sK27(sK12))
| spl45_66 ),
inference(resolution,[],[f1895,f190]) ).
fof(f3176,plain,
! [X0] :
( empty_set = sK15(powerset(sK23(X0)))
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| ~ in(sK15(powerset(sK23(X0))),sK24(sK15(powerset(sK23(X0))))) ),
inference(resolution,[],[f795,f288]) ).
fof(f795,plain,
! [X0] :
( in(sK24(sK15(powerset(sK23(X0)))),sK15(powerset(sK23(X0))))
| empty_set = sK15(powerset(sK23(X0)))
| ~ in(sK23(X0),omega)
| ~ sP3(X0) ),
inference(subsumption_resolution,[],[f788,f208]) ).
fof(f788,plain,
! [X0] :
( empty_set = sK15(powerset(sK23(X0)))
| in(sK24(sK15(powerset(sK23(X0)))),sK15(powerset(sK23(X0))))
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| empty(powerset(sK23(X0))) ),
inference(resolution,[],[f246,f211]) ).
fof(f3088,plain,
! [X0] :
( empty_set = sK14(powerset(sK23(X0)))
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| ~ in(sK14(powerset(sK23(X0))),sK24(sK14(powerset(sK23(X0))))) ),
inference(resolution,[],[f794,f288]) ).
fof(f794,plain,
! [X0] :
( in(sK24(sK14(powerset(sK23(X0)))),sK14(powerset(sK23(X0))))
| empty_set = sK14(powerset(sK23(X0)))
| ~ in(sK23(X0),omega)
| ~ sP3(X0) ),
inference(subsumption_resolution,[],[f787,f208]) ).
fof(f787,plain,
! [X0] :
( empty_set = sK14(powerset(sK23(X0)))
| in(sK24(sK14(powerset(sK23(X0)))),sK14(powerset(sK23(X0))))
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| empty(powerset(sK23(X0))) ),
inference(resolution,[],[f246,f209]) ).
fof(f3081,plain,
! [X0] :
( empty_set = sK30(powerset(sK23(X0)))
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| ~ in(sK30(powerset(sK23(X0))),sK24(sK30(powerset(sK23(X0))))) ),
inference(resolution,[],[f790,f288]) ).
fof(f790,plain,
! [X0] :
( in(sK24(sK30(powerset(sK23(X0)))),sK30(powerset(sK23(X0))))
| empty_set = sK30(powerset(sK23(X0)))
| ~ in(sK23(X0),omega)
| ~ sP3(X0) ),
inference(resolution,[],[f246,f278]) ).
fof(f3070,plain,
! [X0] :
( empty_set = sK29(powerset(sK23(X0)))
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| ~ in(sK29(powerset(sK23(X0))),sK24(sK29(powerset(sK23(X0))))) ),
inference(resolution,[],[f789,f288]) ).
fof(f789,plain,
! [X0] :
( in(sK24(sK29(powerset(sK23(X0)))),sK29(powerset(sK23(X0))))
| empty_set = sK29(powerset(sK23(X0)))
| ~ in(sK23(X0),omega)
| ~ sP3(X0) ),
inference(resolution,[],[f246,f276]) ).
fof(f3039,plain,
! [X0] :
( ~ ordinal(sK22(succ(X0)))
| sP1(sK22(succ(X0)),X0)
| ~ sP4(succ(X0))
| epsilon_transitive(sK8(sK22(succ(X0))))
| ~ ordinal(powerset(powerset(sK22(succ(X0))))) ),
inference(resolution,[],[f520,f256]) ).
fof(f3038,plain,
! [X0] :
( ~ ordinal(sK22(succ(X0)))
| sP1(sK22(succ(X0)),X0)
| ~ sP4(succ(X0))
| epsilon_connected(sK8(sK22(succ(X0))))
| ~ ordinal(powerset(powerset(sK22(succ(X0))))) ),
inference(resolution,[],[f520,f257]) ).
fof(f3037,plain,
! [X0] :
( ~ ordinal(sK22(succ(X0)))
| sP1(sK22(succ(X0)),X0)
| ~ sP4(succ(X0))
| ordinal(sK8(sK22(succ(X0))))
| ~ ordinal(powerset(powerset(sK22(succ(X0))))) ),
inference(resolution,[],[f520,f258]) ).
fof(f520,plain,
! [X0] :
( element(sK8(sK22(succ(X0))),powerset(powerset(sK22(succ(X0)))))
| ~ ordinal(sK22(succ(X0)))
| sP1(sK22(succ(X0)),X0)
| ~ sP4(succ(X0)) ),
inference(resolution,[],[f327,f239]) ).
fof(f2937,plain,
! [X0] :
( ~ ordinal(sK11(succ(X0)))
| sP1(sK11(succ(X0)),X0)
| ~ sP0(succ(X0))
| epsilon_transitive(sK8(sK11(succ(X0))))
| ~ ordinal(powerset(powerset(sK11(succ(X0))))) ),
inference(resolution,[],[f514,f256]) ).
fof(f2936,plain,
! [X0] :
( ~ ordinal(sK11(succ(X0)))
| sP1(sK11(succ(X0)),X0)
| ~ sP0(succ(X0))
| epsilon_connected(sK8(sK11(succ(X0))))
| ~ ordinal(powerset(powerset(sK11(succ(X0))))) ),
inference(resolution,[],[f514,f257]) ).
fof(f2935,plain,
! [X0] :
( ~ ordinal(sK11(succ(X0)))
| sP1(sK11(succ(X0)),X0)
| ~ sP0(succ(X0))
| ordinal(sK8(sK11(succ(X0))))
| ~ ordinal(powerset(powerset(sK11(succ(X0))))) ),
inference(resolution,[],[f514,f258]) ).
fof(f514,plain,
! [X0] :
( element(sK8(sK11(succ(X0))),powerset(powerset(sK11(succ(X0)))))
| ~ ordinal(sK11(succ(X0)))
| sP1(sK11(succ(X0)),X0)
| ~ sP0(succ(X0)) ),
inference(resolution,[],[f327,f184]) ).
fof(f2550,plain,
! [X0] :
( ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| sP1(sK13(succ(X0)),sK12)
| epsilon_transitive(sK8(sK13(succ(X0))))
| ~ ordinal(powerset(powerset(sK13(succ(X0))))) ),
inference(resolution,[],[f518,f256]) ).
fof(f2549,plain,
! [X0] :
( ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| sP1(sK13(succ(X0)),sK12)
| epsilon_connected(sK8(sK13(succ(X0))))
| ~ ordinal(powerset(powerset(sK13(succ(X0))))) ),
inference(resolution,[],[f518,f257]) ).
fof(f2548,plain,
! [X0] :
( ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| sP1(sK13(succ(X0)),sK12)
| ordinal(sK8(sK13(succ(X0))))
| ~ ordinal(powerset(powerset(sK13(succ(X0))))) ),
inference(resolution,[],[f518,f258]) ).
fof(f518,plain,
! [X0] :
( element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| sP1(sK13(succ(X0)),sK12) ),
inference(resolution,[],[f327,f190]) ).
fof(f2499,plain,
! [X0,X1] :
( sP0(sK15(powerset(sK9(X0))))
| empty_set = sK15(powerset(sK9(X0)))
| ~ sP1(X0,X1)
| sP5(sK9(X0)) ),
inference(subsumption_resolution,[],[f2491,f177]) ).
fof(f2491,plain,
! [X0,X1] :
( sP0(sK15(powerset(sK9(X0))))
| empty_set = sK15(powerset(sK9(X0)))
| ~ sP1(X0,X1)
| sP5(sK9(X0))
| ~ ordinal(sK9(X0)) ),
inference(resolution,[],[f726,f332]) ).
fof(f726,plain,
! [X0,X1] :
( ~ in(sK9(X0),omega)
| sP0(sK15(powerset(sK9(X0))))
| empty_set = sK15(powerset(sK9(X0)))
| ~ sP1(X0,X1) ),
inference(subsumption_resolution,[],[f718,f208]) ).
fof(f718,plain,
! [X0,X1] :
( empty_set = sK15(powerset(sK9(X0)))
| sP0(sK15(powerset(sK9(X0))))
| ~ in(sK9(X0),omega)
| ~ sP1(X0,X1)
| empty(powerset(sK9(X0))) ),
inference(resolution,[],[f179,f211]) ).
fof(f2442,plain,
! [X0,X1] :
( sP0(sK14(powerset(sK9(X0))))
| empty_set = sK14(powerset(sK9(X0)))
| ~ sP1(X0,X1)
| sP5(sK9(X0)) ),
inference(subsumption_resolution,[],[f2434,f177]) ).
fof(f2434,plain,
! [X0,X1] :
( sP0(sK14(powerset(sK9(X0))))
| empty_set = sK14(powerset(sK9(X0)))
| ~ sP1(X0,X1)
| sP5(sK9(X0))
| ~ ordinal(sK9(X0)) ),
inference(resolution,[],[f725,f332]) ).
fof(f725,plain,
! [X0,X1] :
( ~ in(sK9(X0),omega)
| sP0(sK14(powerset(sK9(X0))))
| empty_set = sK14(powerset(sK9(X0)))
| ~ sP1(X0,X1) ),
inference(subsumption_resolution,[],[f717,f208]) ).
fof(f717,plain,
! [X0,X1] :
( empty_set = sK14(powerset(sK9(X0)))
| sP0(sK14(powerset(sK9(X0))))
| ~ in(sK9(X0),omega)
| ~ sP1(X0,X1)
| empty(powerset(sK9(X0))) ),
inference(resolution,[],[f179,f209]) ).
fof(f2389,plain,
! [X0,X1] :
( sP0(sK30(powerset(sK9(X0))))
| empty_set = sK30(powerset(sK9(X0)))
| ~ sP1(X0,X1)
| sP5(sK9(X0)) ),
inference(subsumption_resolution,[],[f2381,f177]) ).
fof(f2381,plain,
! [X0,X1] :
( sP0(sK30(powerset(sK9(X0))))
| empty_set = sK30(powerset(sK9(X0)))
| ~ sP1(X0,X1)
| sP5(sK9(X0))
| ~ ordinal(sK9(X0)) ),
inference(resolution,[],[f720,f332]) ).
fof(f720,plain,
! [X0,X1] :
( ~ in(sK9(X0),omega)
| sP0(sK30(powerset(sK9(X0))))
| empty_set = sK30(powerset(sK9(X0)))
| ~ sP1(X0,X1) ),
inference(resolution,[],[f179,f278]) ).
fof(f2300,plain,
! [X0,X1] :
( sP0(sK29(powerset(sK9(X0))))
| empty_set = sK29(powerset(sK9(X0)))
| ~ sP1(X0,X1)
| sP5(sK9(X0)) ),
inference(subsumption_resolution,[],[f2292,f177]) ).
fof(f2292,plain,
! [X0,X1] :
( sP0(sK29(powerset(sK9(X0))))
| empty_set = sK29(powerset(sK9(X0)))
| ~ sP1(X0,X1)
| sP5(sK9(X0))
| ~ ordinal(sK9(X0)) ),
inference(resolution,[],[f719,f332]) ).
fof(f719,plain,
! [X0,X1] :
( ~ in(sK9(X0),omega)
| sP0(sK29(powerset(sK9(X0))))
| empty_set = sK29(powerset(sK9(X0)))
| ~ sP1(X0,X1) ),
inference(resolution,[],[f179,f276]) ).
fof(f469,plain,
! [X0] :
( empty_set != sK8(sK22(succ(X0)))
| ~ ordinal(sK22(succ(X0)))
| sP1(sK22(succ(X0)),X0)
| ~ sP4(succ(X0)) ),
inference(resolution,[],[f326,f239]) ).
fof(f464,plain,
! [X0] :
( empty_set != sK8(sK11(succ(X0)))
| ~ ordinal(sK11(succ(X0)))
| sP1(sK11(succ(X0)),X0)
| ~ sP0(succ(X0)) ),
inference(resolution,[],[f326,f184]) ).
fof(f2102,plain,
! [X0] :
( empty_set = sK15(powerset(sK20(X0)))
| ~ in(sK20(X0),omega)
| ~ sP5(X0)
| sP0(sK15(powerset(sK20(X0)))) ),
inference(resolution,[],[f569,f1200]) ).
fof(f569,plain,
! [X0] :
( sP4(sK15(powerset(sK20(X0))))
| empty_set = sK15(powerset(sK20(X0)))
| ~ in(sK20(X0),omega)
| ~ sP5(X0) ),
inference(subsumption_resolution,[],[f559,f208]) ).
fof(f559,plain,
! [X0] :
( empty_set = sK15(powerset(sK20(X0)))
| sP4(sK15(powerset(sK20(X0))))
| ~ in(sK20(X0),omega)
| ~ sP5(X0)
| empty(powerset(sK20(X0))) ),
inference(resolution,[],[f234,f211]) ).
fof(f2013,plain,
! [X0] :
( empty_set = sK14(powerset(sK20(X0)))
| ~ in(sK20(X0),omega)
| ~ sP5(X0)
| sP0(sK14(powerset(sK20(X0)))) ),
inference(resolution,[],[f568,f1200]) ).
fof(f568,plain,
! [X0] :
( sP4(sK14(powerset(sK20(X0))))
| empty_set = sK14(powerset(sK20(X0)))
| ~ in(sK20(X0),omega)
| ~ sP5(X0) ),
inference(subsumption_resolution,[],[f558,f208]) ).
fof(f558,plain,
! [X0] :
( empty_set = sK14(powerset(sK20(X0)))
| sP4(sK14(powerset(sK20(X0))))
| ~ in(sK20(X0),omega)
| ~ sP5(X0)
| empty(powerset(sK20(X0))) ),
inference(resolution,[],[f234,f209]) ).
fof(f1934,plain,
! [X0] :
( empty_set = sK30(powerset(sK20(X0)))
| ~ in(sK20(X0),omega)
| ~ sP5(X0)
| sP0(sK30(powerset(sK20(X0)))) ),
inference(resolution,[],[f561,f1200]) ).
fof(f561,plain,
! [X0] :
( sP4(sK30(powerset(sK20(X0))))
| empty_set = sK30(powerset(sK20(X0)))
| ~ in(sK20(X0),omega)
| ~ sP5(X0) ),
inference(resolution,[],[f234,f278]) ).
fof(f1846,plain,
! [X0] :
( empty_set = sK29(powerset(sK20(X0)))
| ~ in(sK20(X0),omega)
| ~ sP5(X0)
| sP0(sK29(powerset(sK20(X0)))) ),
inference(resolution,[],[f560,f1200]) ).
fof(f560,plain,
! [X0] :
( sP4(sK29(powerset(sK20(X0))))
| empty_set = sK29(powerset(sK20(X0)))
| ~ in(sK20(X0),omega)
| ~ sP5(X0) ),
inference(resolution,[],[f234,f276]) ).
fof(f1814,plain,
( sK9(sK13(sK27(sK12))) = sK20(sK9(sK13(sK27(sK12))))
| spl45_64 ),
inference(resolution,[],[f1798,f1210]) ).
fof(f1813,plain,
( sK20(sK9(sK13(sK27(sK12)))) = sK20(sK20(sK9(sK13(sK27(sK12)))))
| spl45_64 ),
inference(resolution,[],[f1798,f1209]) ).
fof(f1812,plain,
( sK20(sK20(sK9(sK13(sK27(sK12))))) = sK20(sK20(sK20(sK9(sK13(sK27(sK12))))))
| spl45_64 ),
inference(resolution,[],[f1798,f1208]) ).
fof(f1811,plain,
( sK20(sK20(sK20(sK9(sK13(sK27(sK12)))))) = sK20(sK20(sK20(sK20(sK9(sK13(sK27(sK12)))))))
| spl45_64 ),
inference(resolution,[],[f1798,f1207]) ).
fof(f1810,plain,
( sP5(sK9(sK13(sK27(sK12))))
| spl45_64 ),
inference(resolution,[],[f1798,f1121]) ).
fof(f1809,plain,
( sP0(sK19(sK9(sK13(sK27(sK12)))))
| sP5(sK9(sK13(sK27(sK12))))
| spl45_64 ),
inference(resolution,[],[f1798,f728]) ).
fof(f1806,plain,
( ordinal(sK9(sK13(sK27(sK12))))
| spl45_64 ),
inference(resolution,[],[f1798,f365]) ).
fof(f1789,plain,
! [X0] :
( ~ ordinal(sK22(succ(X0)))
| in(sK22(succ(X0)),omega)
| ~ sP4(succ(X0))
| ordinal(sK9(sK22(succ(X0)))) ),
inference(resolution,[],[f443,f177]) ).
fof(f1788,plain,
! [X0] :
( ~ ordinal(sK22(succ(X0)))
| in(sK22(succ(X0)),omega)
| ~ sP4(succ(X0))
| sK22(succ(X0)) = sK9(sK22(succ(X0))) ),
inference(resolution,[],[f443,f178]) ).
fof(f1786,plain,
! [X0] :
( ~ ordinal(sK22(succ(X0)))
| in(sK22(succ(X0)),omega)
| ~ sP4(succ(X0))
| sP0(sK19(sK9(sK22(succ(X0)))))
| sP5(sK9(sK22(succ(X0)))) ),
inference(resolution,[],[f443,f724]) ).
fof(f443,plain,
! [X0] :
( sP1(sK22(succ(X0)),X0)
| ~ ordinal(sK22(succ(X0)))
| in(sK22(succ(X0)),omega)
| ~ sP4(succ(X0)) ),
inference(resolution,[],[f328,f239]) ).
fof(f1736,plain,
! [X0] :
( ~ ordinal(sK13(succ(X0)))
| ordinal(sK9(sK13(succ(X0))))
| epsilon_transitive(sK8(sK13(succ(X0))))
| ~ ordinal(powerset(powerset(sK13(succ(X0))))) ),
inference(resolution,[],[f522,f256]) ).
fof(f1735,plain,
! [X0] :
( ~ ordinal(sK13(succ(X0)))
| ordinal(sK9(sK13(succ(X0))))
| epsilon_connected(sK8(sK13(succ(X0))))
| ~ ordinal(powerset(powerset(sK13(succ(X0))))) ),
inference(resolution,[],[f522,f257]) ).
fof(f1734,plain,
! [X0] :
( ~ ordinal(sK13(succ(X0)))
| ordinal(sK9(sK13(succ(X0))))
| ordinal(sK8(sK13(succ(X0))))
| ~ ordinal(powerset(powerset(sK13(succ(X0))))) ),
inference(resolution,[],[f522,f258]) ).
fof(f522,plain,
! [X0] :
( element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| ordinal(sK9(sK13(succ(X0)))) ),
inference(subsumption_resolution,[],[f517,f177]) ).
fof(f517,plain,
! [X0] :
( element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| ordinal(sK9(sK13(succ(X0)))) ),
inference(resolution,[],[f327,f365]) ).
fof(f1686,plain,
! [X0] :
( sK20(sK20(sK20(sK20(sK20(X0))))) = sK20(sK20(sK20(sK20(sK20(sK20(X0))))))
| ~ sP5(X0) ),
inference(resolution,[],[f658,f567]) ).
fof(f1668,plain,
! [X0] :
( sK20(sK20(sK20(sK20(sK9(sK13(X0)))))) = sK20(sK20(sK20(sK20(sK20(sK9(sK13(X0)))))))
| in(sK13(X0),X0) ),
inference(resolution,[],[f658,f1121]) ).
fof(f1666,plain,
! [X0] :
( sK20(sK20(sK20(sK20(succ(X0))))) = sK20(sK20(sK20(sK20(sK20(succ(X0))))))
| ~ sP1(omega,X0)
| ~ ordinal(succ(X0)) ),
inference(resolution,[],[f658,f386]) ).
fof(f658,plain,
! [X0] :
( ~ sP5(X0)
| sK20(sK20(sK20(sK20(X0)))) = sK20(sK20(sK20(sK20(sK20(X0))))) ),
inference(resolution,[],[f639,f567]) ).
fof(f623,plain,
! [X0] :
( ~ sP1(omega,X0)
| sK20(succ(X0)) = sK20(sK20(succ(X0)))
| ~ ordinal(succ(X0)) ),
inference(resolution,[],[f573,f386]) ).
fof(f1664,plain,
! [X0] :
( ~ ordinal(sK11(succ(X0)))
| in(sK11(succ(X0)),omega)
| ~ sP0(succ(X0))
| ordinal(sK9(sK11(succ(X0)))) ),
inference(resolution,[],[f438,f177]) ).
fof(f1663,plain,
! [X0] :
( ~ ordinal(sK11(succ(X0)))
| in(sK11(succ(X0)),omega)
| ~ sP0(succ(X0))
| sK11(succ(X0)) = sK9(sK11(succ(X0))) ),
inference(resolution,[],[f438,f178]) ).
fof(f1661,plain,
! [X0] :
( ~ ordinal(sK11(succ(X0)))
| in(sK11(succ(X0)),omega)
| ~ sP0(succ(X0))
| sP0(sK19(sK9(sK11(succ(X0)))))
| sP5(sK9(sK11(succ(X0)))) ),
inference(resolution,[],[f438,f724]) ).
fof(f438,plain,
! [X0] :
( sP1(sK11(succ(X0)),X0)
| ~ ordinal(sK11(succ(X0)))
| in(sK11(succ(X0)),omega)
| ~ sP0(succ(X0)) ),
inference(resolution,[],[f328,f184]) ).
fof(f1643,plain,
! [X0] :
( ~ in(X0,sK13(X0))
| sK20(sK20(sK20(sK9(sK13(X0))))) = sK20(sK20(sK20(sK20(sK9(sK13(X0)))))) ),
inference(resolution,[],[f1207,f288]) ).
fof(f1648,plain,
! [X0] :
( sK20(sK20(sK20(sK9(sK13(succ(X0)))))) = sK20(sK20(sK20(sK20(sK9(sK13(succ(X0)))))))
| ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1207,f325]) ).
fof(f1647,plain,
! [X0] :
( sK20(sK20(sK20(sK9(sK13(succ(X0)))))) = sK20(sK20(sK20(sK20(sK9(sK13(succ(X0)))))))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1207,f328]) ).
fof(f1646,plain,
! [X0] :
( sK20(sK20(sK20(sK9(sK13(succ(X0)))))) = sK20(sK20(sK20(sK20(sK9(sK13(succ(X0)))))))
| empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1207,f326]) ).
fof(f1645,plain,
! [X0] :
( sK20(sK20(sK20(sK9(sK13(succ(X0)))))) = sK20(sK20(sK20(sK20(sK9(sK13(succ(X0)))))))
| element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1207,f327]) ).
fof(f1207,plain,
! [X0] :
( in(sK13(X0),X0)
| sK20(sK20(sK20(sK9(sK13(X0))))) = sK20(sK20(sK20(sK20(sK9(sK13(X0)))))) ),
inference(resolution,[],[f1121,f639]) ).
fof(f433,plain,
! [X0] :
( ~ sP0(sK8(sK22(succ(X0))))
| ~ ordinal(sK22(succ(X0)))
| sP1(sK22(succ(X0)),X0)
| ~ sP4(succ(X0)) ),
inference(resolution,[],[f325,f239]) ).
fof(f1009,plain,
! [X0] :
( ~ in(sK19(sK25(X0)),sK26(sK19(sK25(X0))))
| sP5(sK25(X0))
| ~ sP2(X0) ),
inference(resolution,[],[f857,f288]) ).
fof(f1580,plain,
! [X0] :
( ~ in(X0,sK13(X0))
| sK20(sK20(sK9(sK13(X0)))) = sK20(sK20(sK20(sK9(sK13(X0))))) ),
inference(resolution,[],[f1208,f288]) ).
fof(f1585,plain,
! [X0] :
( sK20(sK20(sK9(sK13(succ(X0))))) = sK20(sK20(sK20(sK9(sK13(succ(X0))))))
| ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1208,f325]) ).
fof(f1584,plain,
! [X0] :
( sK20(sK20(sK9(sK13(succ(X0))))) = sK20(sK20(sK20(sK9(sK13(succ(X0))))))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1208,f328]) ).
fof(f1583,plain,
! [X0] :
( sK20(sK20(sK9(sK13(succ(X0))))) = sK20(sK20(sK20(sK9(sK13(succ(X0))))))
| empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1208,f326]) ).
fof(f1582,plain,
! [X0] :
( sK20(sK20(sK9(sK13(succ(X0))))) = sK20(sK20(sK20(sK9(sK13(succ(X0))))))
| element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1208,f327]) ).
fof(f1208,plain,
! [X0] :
( in(sK13(X0),X0)
| sK20(sK20(sK9(sK13(X0)))) = sK20(sK20(sK20(sK9(sK13(X0))))) ),
inference(resolution,[],[f1121,f625]) ).
fof(f428,plain,
! [X0] :
( ~ sP0(sK8(sK11(succ(X0))))
| ~ ordinal(sK11(succ(X0)))
| sP1(sK11(succ(X0)),X0)
| ~ sP0(succ(X0)) ),
inference(resolution,[],[f325,f184]) ).
fof(f467,plain,
! [X0] :
( empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| sP1(sK13(succ(X0)),sK12) ),
inference(resolution,[],[f326,f190]) ).
fof(f1489,plain,
( sP1(sK13(succ(sK12)),sK12)
| ~ ordinal(sK13(succ(sK12)))
| in(sK13(succ(sK12)),omega) ),
inference(factoring,[],[f441]) ).
fof(f1493,plain,
! [X0] :
( ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0)))) ),
inference(subsumption_resolution,[],[f1485,f724]) ).
fof(f1485,plain,
! [X0] :
( sP1(sK13(succ(X0)),sK12)
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0)))) ),
inference(resolution,[],[f441,f724]) ).
fof(f1490,plain,
! [X0] :
( ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0)))) ),
inference(subsumption_resolution,[],[f1480,f724]) ).
fof(f1480,plain,
! [X0] :
( sP1(sK13(succ(X0)),X0)
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0)))) ),
inference(resolution,[],[f441,f724]) ).
fof(f441,plain,
! [X0] :
( sP1(sK13(succ(X0)),sK12)
| sP1(sK13(succ(X0)),X0)
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega) ),
inference(resolution,[],[f328,f190]) ).
fof(f431,plain,
! [X0] :
( ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| sP1(sK13(succ(X0)),sK12) ),
inference(resolution,[],[f325,f190]) ).
fof(f1289,plain,
! [X0] :
( ~ in(X0,sK13(X0))
| sK20(sK9(sK13(X0))) = sK20(sK20(sK9(sK13(X0)))) ),
inference(resolution,[],[f1209,f288]) ).
fof(f1294,plain,
! [X0] :
( sK20(sK9(sK13(succ(X0)))) = sK20(sK20(sK9(sK13(succ(X0)))))
| ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1209,f325]) ).
fof(f1293,plain,
! [X0] :
( sK20(sK9(sK13(succ(X0)))) = sK20(sK20(sK9(sK13(succ(X0)))))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1209,f328]) ).
fof(f1292,plain,
! [X0] :
( sK20(sK9(sK13(succ(X0)))) = sK20(sK20(sK9(sK13(succ(X0)))))
| empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1209,f326]) ).
fof(f1291,plain,
! [X0] :
( sK20(sK9(sK13(succ(X0)))) = sK20(sK20(sK9(sK13(succ(X0)))))
| element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1209,f327]) ).
fof(f1209,plain,
! [X0] :
( in(sK13(X0),X0)
| sK20(sK9(sK13(X0))) = sK20(sK20(sK9(sK13(X0)))) ),
inference(resolution,[],[f1121,f573]) ).
fof(f1243,plain,
! [X0] :
( ~ in(X0,sK13(X0))
| sK9(sK13(X0)) = sK20(sK9(sK13(X0))) ),
inference(resolution,[],[f1210,f288]) ).
fof(f1248,plain,
! [X0] :
( sK9(sK13(succ(X0))) = sK20(sK9(sK13(succ(X0))))
| ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1210,f325]) ).
fof(f1247,plain,
! [X0] :
( sK9(sK13(succ(X0))) = sK20(sK9(sK13(succ(X0))))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1210,f328]) ).
fof(f1246,plain,
! [X0] :
( sK9(sK13(succ(X0))) = sK20(sK9(sK13(succ(X0))))
| empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1210,f326]) ).
fof(f1245,plain,
! [X0] :
( sK9(sK13(succ(X0))) = sK20(sK9(sK13(succ(X0))))
| element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1210,f327]) ).
fof(f1210,plain,
! [X0] :
( in(sK13(X0),X0)
| sK9(sK13(X0)) = sK20(sK9(sK13(X0))) ),
inference(resolution,[],[f1121,f233]) ).
fof(f1227,plain,
! [X0] :
( ~ sP4(omega)
| sP4(X0)
| ~ in(sK22(omega),X0)
| sP5(sK21(X0,sK22(omega)))
| ~ ordinal(sK21(X0,sK22(omega))) ),
inference(resolution,[],[f456,f332]) ).
fof(f1226,plain,
! [X0,X1] :
( ~ sP4(succ(X0))
| sP4(X1)
| ~ in(sK22(succ(X0)),X1)
| ~ sP1(sK21(X1,sK22(succ(X0))),X0) ),
inference(resolution,[],[f456,f176]) ).
fof(f456,plain,
! [X0,X1] :
( ~ in(sK21(X1,sK22(X0)),X0)
| ~ sP4(X0)
| sP4(X1)
| ~ in(sK22(X0),X1) ),
inference(subsumption_resolution,[],[f454,f243]) ).
fof(f454,plain,
! [X0,X1] :
( sK22(X0) = sK21(X1,sK22(X0))
| ~ in(sK21(X1,sK22(X0)),X0)
| ~ sP4(X0)
| sP4(X1)
| ~ in(sK22(X0),X1) ),
inference(resolution,[],[f240,f242]) ).
fof(f1212,plain,
! [X0] :
( ~ in(X0,sK13(X0))
| sP5(sK9(sK13(X0))) ),
inference(resolution,[],[f1121,f288]) ).
fof(f1217,plain,
! [X0] :
( sP5(sK9(sK13(succ(X0))))
| ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1121,f325]) ).
fof(f1216,plain,
! [X0] :
( sP5(sK9(sK13(succ(X0))))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1121,f328]) ).
fof(f1215,plain,
! [X0] :
( sP5(sK9(sK13(succ(X0))))
| empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1121,f326]) ).
fof(f1214,plain,
! [X0] :
( sP5(sK9(sK13(succ(X0))))
| element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f1121,f327]) ).
fof(f1121,plain,
! [X0] :
( sP5(sK9(sK13(X0)))
| in(sK13(X0),X0) ),
inference(subsumption_resolution,[],[f1120,f365]) ).
fof(f1120,plain,
! [X0] :
( sP5(sK9(sK13(X0)))
| ~ ordinal(sK9(sK13(X0)))
| in(sK13(X0),X0) ),
inference(duplicate_literal_removal,[],[f1113]) ).
fof(f1113,plain,
! [X0] :
( sP5(sK9(sK13(X0)))
| ~ ordinal(sK9(sK13(X0)))
| in(sK13(X0),X0)
| sP5(sK9(sK13(X0))) ),
inference(resolution,[],[f1111,f728]) ).
fof(f1200,plain,
! [X0] :
( ~ sP4(X0)
| sP0(X0) ),
inference(subsumption_resolution,[],[f1199,f239]) ).
fof(f1199,plain,
! [X0] :
( ~ sP4(X0)
| sP0(X0)
| ~ in(sK22(X0),X0) ),
inference(duplicate_literal_removal,[],[f1195]) ).
fof(f1195,plain,
! [X0] :
( ~ sP4(X0)
| sP0(X0)
| ~ in(sK22(X0),X0)
| sP0(X0)
| ~ in(sK22(X0),X0) ),
inference(resolution,[],[f455,f186]) ).
fof(f1197,plain,
! [X0] :
( ~ sP4(omega)
| sP0(X0)
| ~ in(sK22(omega),X0)
| sP5(sK10(X0,sK22(omega)))
| ~ ordinal(sK10(X0,sK22(omega))) ),
inference(resolution,[],[f455,f332]) ).
fof(f1196,plain,
! [X0,X1] :
( ~ sP4(succ(X0))
| sP0(X1)
| ~ in(sK22(succ(X0)),X1)
| ~ sP1(sK10(X1,sK22(succ(X0))),X0) ),
inference(resolution,[],[f455,f176]) ).
fof(f455,plain,
! [X0,X1] :
( ~ in(sK10(X1,sK22(X0)),X0)
| ~ sP4(X0)
| sP0(X1)
| ~ in(sK22(X0),X1) ),
inference(subsumption_resolution,[],[f453,f188]) ).
fof(f453,plain,
! [X0,X1] :
( sK22(X0) = sK10(X1,sK22(X0))
| ~ in(sK10(X1,sK22(X0)),X0)
| ~ sP4(X0)
| sP0(X1)
| ~ in(sK22(X0),X1) ),
inference(resolution,[],[f240,f187]) ).
fof(f1111,plain,
! [X0] :
( ~ sP0(sK19(X0))
| sP5(X0)
| ~ ordinal(X0) ),
inference(resolution,[],[f1110,f329]) ).
fof(f1110,plain,
! [X0] :
( sP4(X0)
| ~ sP0(X0) ),
inference(subsumption_resolution,[],[f1109,f184]) ).
fof(f1109,plain,
! [X0] :
( ~ sP0(X0)
| sP4(X0)
| ~ in(sK11(X0),X0) ),
inference(duplicate_literal_removal,[],[f1105]) ).
fof(f1105,plain,
! [X0] :
( ~ sP0(X0)
| sP4(X0)
| ~ in(sK11(X0),X0)
| sP4(X0)
| ~ in(sK11(X0),X0) ),
inference(resolution,[],[f452,f241]) ).
fof(f1107,plain,
! [X0] :
( ~ sP0(omega)
| sP4(X0)
| ~ in(sK11(omega),X0)
| sP5(sK21(X0,sK11(omega)))
| ~ ordinal(sK21(X0,sK11(omega))) ),
inference(resolution,[],[f452,f332]) ).
fof(f1106,plain,
! [X0,X1] :
( ~ sP0(succ(X0))
| sP4(X1)
| ~ in(sK11(succ(X0)),X1)
| ~ sP1(sK21(X1,sK11(succ(X0))),X0) ),
inference(resolution,[],[f452,f176]) ).
fof(f452,plain,
! [X0,X1] :
( ~ in(sK21(X1,sK11(X0)),X0)
| ~ sP0(X0)
| sP4(X1)
| ~ in(sK11(X0),X1) ),
inference(subsumption_resolution,[],[f450,f243]) ).
fof(f450,plain,
! [X0,X1] :
( sK11(X0) = sK21(X1,sK11(X0))
| ~ in(sK21(X1,sK11(X0)),X0)
| ~ sP0(X0)
| sP4(X1)
| ~ in(sK11(X0),X1) ),
inference(resolution,[],[f185,f242]) ).
fof(f1063,plain,
! [X0] :
( ~ sP0(omega)
| sP0(X0)
| ~ in(sK11(omega),X0)
| sP5(sK10(X0,sK11(omega)))
| ~ ordinal(sK10(X0,sK11(omega))) ),
inference(resolution,[],[f451,f332]) ).
fof(f1062,plain,
! [X0,X1] :
( ~ sP0(succ(X0))
| sP0(X1)
| ~ in(sK11(succ(X0)),X1)
| ~ sP1(sK10(X1,sK11(succ(X0))),X0) ),
inference(resolution,[],[f451,f176]) ).
fof(f451,plain,
! [X0,X1] :
( ~ in(sK10(X1,sK11(X0)),X0)
| ~ sP0(X0)
| sP0(X1)
| ~ in(sK11(X0),X1) ),
inference(subsumption_resolution,[],[f449,f188]) ).
fof(f449,plain,
! [X0,X1] :
( sK11(X0) = sK10(X1,sK11(X0))
| ~ in(sK10(X1,sK11(X0)),X0)
| ~ sP0(X0)
| sP0(X1)
| ~ in(sK11(X0),X1) ),
inference(resolution,[],[f185,f187]) ).
fof(f857,plain,
! [X0] :
( in(sK26(sK19(sK25(X0))),sK19(sK25(X0)))
| ~ sP2(X0)
| sP5(sK25(X0)) ),
inference(subsumption_resolution,[],[f856,f248]) ).
fof(f856,plain,
! [X0] :
( in(sK26(sK19(sK25(X0))),sK19(sK25(X0)))
| ~ sP2(X0)
| sP5(sK25(X0))
| ~ ordinal(sK25(X0)) ),
inference(subsumption_resolution,[],[f855,f332]) ).
fof(f855,plain,
! [X0] :
( in(sK26(sK19(sK25(X0))),sK19(sK25(X0)))
| ~ in(sK25(X0),omega)
| ~ sP2(X0)
| sP5(sK25(X0))
| ~ ordinal(sK25(X0)) ),
inference(subsumption_resolution,[],[f849,f330]) ).
fof(f849,plain,
! [X0] :
( empty_set = sK19(sK25(X0))
| in(sK26(sK19(sK25(X0))),sK19(sK25(X0)))
| ~ in(sK25(X0),omega)
| ~ sP2(X0)
| sP5(sK25(X0))
| ~ ordinal(sK25(X0)) ),
inference(resolution,[],[f250,f331]) ).
fof(f950,plain,
! [X0,X1] :
( ~ subset(sK26(sK30(powerset(sK25(X0)))),X1)
| ~ in(X1,sK30(powerset(sK25(X0))))
| empty_set = sK30(powerset(sK25(X0)))
| sK26(sK30(powerset(sK25(X0)))) = X1
| ~ in(sK25(X0),omega)
| ~ sP2(X0) ),
inference(resolution,[],[f251,f278]) ).
fof(f949,plain,
! [X0,X1] :
( ~ subset(sK26(sK29(powerset(sK25(X0)))),X1)
| ~ in(X1,sK29(powerset(sK25(X0))))
| empty_set = sK29(powerset(sK25(X0)))
| sK26(sK29(powerset(sK25(X0)))) = X1
| ~ in(sK25(X0),omega)
| ~ sP2(X0) ),
inference(resolution,[],[f251,f276]) ).
fof(f956,plain,
! [X0,X1] :
( ~ subset(sK26(sK15(powerset(sK25(X0)))),X1)
| ~ in(X1,sK15(powerset(sK25(X0))))
| empty_set = sK15(powerset(sK25(X0)))
| sK26(sK15(powerset(sK25(X0)))) = X1
| ~ in(sK25(X0),omega)
| ~ sP2(X0) ),
inference(subsumption_resolution,[],[f948,f208]) ).
fof(f948,plain,
! [X0,X1] :
( ~ subset(sK26(sK15(powerset(sK25(X0)))),X1)
| ~ in(X1,sK15(powerset(sK25(X0))))
| empty_set = sK15(powerset(sK25(X0)))
| sK26(sK15(powerset(sK25(X0)))) = X1
| ~ in(sK25(X0),omega)
| ~ sP2(X0)
| empty(powerset(sK25(X0))) ),
inference(resolution,[],[f251,f211]) ).
fof(f955,plain,
! [X0,X1] :
( ~ subset(sK26(sK14(powerset(sK25(X0)))),X1)
| ~ in(X1,sK14(powerset(sK25(X0))))
| empty_set = sK14(powerset(sK25(X0)))
| sK26(sK14(powerset(sK25(X0)))) = X1
| ~ in(sK25(X0),omega)
| ~ sP2(X0) ),
inference(subsumption_resolution,[],[f947,f208]) ).
fof(f947,plain,
! [X0,X1] :
( ~ subset(sK26(sK14(powerset(sK25(X0)))),X1)
| ~ in(X1,sK14(powerset(sK25(X0))))
| empty_set = sK14(powerset(sK25(X0)))
| sK26(sK14(powerset(sK25(X0)))) = X1
| ~ in(sK25(X0),omega)
| ~ sP2(X0)
| empty(powerset(sK25(X0))) ),
inference(resolution,[],[f251,f209]) ).
fof(f954,plain,
! [X0,X1] :
( ~ subset(sK26(sK19(sK25(X0))),X1)
| ~ in(X1,sK19(sK25(X0)))
| sK26(sK19(sK25(X0))) = X1
| ~ sP2(X0)
| sP5(sK25(X0)) ),
inference(subsumption_resolution,[],[f953,f248]) ).
fof(f953,plain,
! [X0,X1] :
( ~ subset(sK26(sK19(sK25(X0))),X1)
| ~ in(X1,sK19(sK25(X0)))
| sK26(sK19(sK25(X0))) = X1
| ~ sP2(X0)
| sP5(sK25(X0))
| ~ ordinal(sK25(X0)) ),
inference(subsumption_resolution,[],[f952,f332]) ).
fof(f952,plain,
! [X0,X1] :
( ~ subset(sK26(sK19(sK25(X0))),X1)
| ~ in(X1,sK19(sK25(X0)))
| sK26(sK19(sK25(X0))) = X1
| ~ in(sK25(X0),omega)
| ~ sP2(X0)
| sP5(sK25(X0))
| ~ ordinal(sK25(X0)) ),
inference(subsumption_resolution,[],[f946,f330]) ).
fof(f946,plain,
! [X0,X1] :
( ~ subset(sK26(sK19(sK25(X0))),X1)
| ~ in(X1,sK19(sK25(X0)))
| empty_set = sK19(sK25(X0))
| sK26(sK19(sK25(X0))) = X1
| ~ in(sK25(X0),omega)
| ~ sP2(X0)
| sP5(sK25(X0))
| ~ ordinal(sK25(X0)) ),
inference(resolution,[],[f251,f331]) ).
fof(f251,plain,
! [X2,X0,X4] :
( ~ element(X2,powerset(powerset(sK25(X0))))
| ~ subset(sK26(X2),X4)
| ~ in(X4,X2)
| empty_set = X2
| sK26(X2) = X4
| ~ in(sK25(X0),omega)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( ( ! [X2] :
( ( ! [X4] :
( sK26(X2) = X4
| ~ subset(sK26(X2),X4)
| ~ in(X4,X2) )
& in(sK26(X2),X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(sK25(X0)))) )
| ~ in(sK25(X0),omega) )
& sK25(X0) = X0
& ordinal(sK25(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f134,f136,f135]) ).
fof(f135,plain,
! [X0] :
( ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega) )
& X0 = X1
& ordinal(X1) )
=> ( ( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(sK25(X0)))) )
| ~ in(sK25(X0),omega) )
& sK25(X0) = X0
& ordinal(sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
=> ( ! [X4] :
( sK26(X2) = X4
| ~ subset(sK26(X2),X4)
| ~ in(X4,X2) )
& in(sK26(X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega) )
& X0 = X1
& ordinal(X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
! [X2] :
( ? [X8] :
( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X2 = X8
& ordinal(X8) )
| ~ sP2(X2) ),
inference(nnf_transformation,[],[f87]) ).
fof(f915,plain,
! [X0,X1] :
( ~ subset(sK24(sK30(powerset(sK23(X0)))),X1)
| ~ in(X1,sK30(powerset(sK23(X0))))
| empty_set = sK30(powerset(sK23(X0)))
| sK24(sK30(powerset(sK23(X0)))) = X1
| ~ in(sK23(X0),omega)
| ~ sP3(X0) ),
inference(resolution,[],[f247,f278]) ).
fof(f914,plain,
! [X0,X1] :
( ~ subset(sK24(sK29(powerset(sK23(X0)))),X1)
| ~ in(X1,sK29(powerset(sK23(X0))))
| empty_set = sK29(powerset(sK23(X0)))
| sK24(sK29(powerset(sK23(X0)))) = X1
| ~ in(sK23(X0),omega)
| ~ sP3(X0) ),
inference(resolution,[],[f247,f276]) ).
fof(f920,plain,
! [X0,X1] :
( ~ subset(sK24(sK15(powerset(sK23(X0)))),X1)
| ~ in(X1,sK15(powerset(sK23(X0))))
| empty_set = sK15(powerset(sK23(X0)))
| sK24(sK15(powerset(sK23(X0)))) = X1
| ~ in(sK23(X0),omega)
| ~ sP3(X0) ),
inference(subsumption_resolution,[],[f913,f208]) ).
fof(f913,plain,
! [X0,X1] :
( ~ subset(sK24(sK15(powerset(sK23(X0)))),X1)
| ~ in(X1,sK15(powerset(sK23(X0))))
| empty_set = sK15(powerset(sK23(X0)))
| sK24(sK15(powerset(sK23(X0)))) = X1
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| empty(powerset(sK23(X0))) ),
inference(resolution,[],[f247,f211]) ).
fof(f919,plain,
! [X0,X1] :
( ~ subset(sK24(sK14(powerset(sK23(X0)))),X1)
| ~ in(X1,sK14(powerset(sK23(X0))))
| empty_set = sK14(powerset(sK23(X0)))
| sK24(sK14(powerset(sK23(X0)))) = X1
| ~ in(sK23(X0),omega)
| ~ sP3(X0) ),
inference(subsumption_resolution,[],[f912,f208]) ).
fof(f912,plain,
! [X0,X1] :
( ~ subset(sK24(sK14(powerset(sK23(X0)))),X1)
| ~ in(X1,sK14(powerset(sK23(X0))))
| empty_set = sK14(powerset(sK23(X0)))
| sK24(sK14(powerset(sK23(X0)))) = X1
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| empty(powerset(sK23(X0))) ),
inference(resolution,[],[f247,f209]) ).
fof(f918,plain,
! [X0,X1] :
( ~ subset(sK24(sK19(sK23(X0))),X1)
| ~ in(X1,sK19(sK23(X0)))
| sK24(sK19(sK23(X0))) = X1
| ~ sP3(X0)
| sP5(sK23(X0)) ),
inference(subsumption_resolution,[],[f917,f244]) ).
fof(f917,plain,
! [X0,X1] :
( ~ subset(sK24(sK19(sK23(X0))),X1)
| ~ in(X1,sK19(sK23(X0)))
| sK24(sK19(sK23(X0))) = X1
| ~ sP3(X0)
| sP5(sK23(X0))
| ~ ordinal(sK23(X0)) ),
inference(subsumption_resolution,[],[f916,f332]) ).
fof(f916,plain,
! [X0,X1] :
( ~ subset(sK24(sK19(sK23(X0))),X1)
| ~ in(X1,sK19(sK23(X0)))
| sK24(sK19(sK23(X0))) = X1
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| sP5(sK23(X0))
| ~ ordinal(sK23(X0)) ),
inference(subsumption_resolution,[],[f911,f330]) ).
fof(f911,plain,
! [X0,X1] :
( ~ subset(sK24(sK19(sK23(X0))),X1)
| ~ in(X1,sK19(sK23(X0)))
| empty_set = sK19(sK23(X0))
| sK24(sK19(sK23(X0))) = X1
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| sP5(sK23(X0))
| ~ ordinal(sK23(X0)) ),
inference(resolution,[],[f247,f331]) ).
fof(f247,plain,
! [X2,X0,X4] :
( ~ element(X2,powerset(powerset(sK23(X0))))
| ~ subset(sK24(X2),X4)
| ~ in(X4,X2)
| empty_set = X2
| sK24(X2) = X4
| ~ in(sK23(X0),omega)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( ( ! [X2] :
( ( ! [X4] :
( sK24(X2) = X4
| ~ subset(sK24(X2),X4)
| ~ in(X4,X2) )
& in(sK24(X2),X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(sK23(X0)))) )
| ~ in(sK23(X0),omega) )
& sK23(X0) = X0
& ordinal(sK23(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f129,f131,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega) )
& X0 = X1
& ordinal(X1) )
=> ( ( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(sK23(X0)))) )
| ~ in(sK23(X0),omega) )
& sK23(X0) = X0
& ordinal(sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
=> ( ! [X4] :
( sK24(X2) = X4
| ~ subset(sK24(X2),X4)
| ~ in(X4,X2) )
& in(sK24(X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega) )
& X0 = X1
& ordinal(X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X3] :
( ? [X4] :
( ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X3 = X4
& ordinal(X4) )
| ~ sP3(X3) ),
inference(nnf_transformation,[],[f88]) ).
fof(f853,plain,
! [X0] :
( in(sK26(sK30(powerset(sK25(X0)))),sK30(powerset(sK25(X0))))
| empty_set = sK30(powerset(sK25(X0)))
| ~ in(sK25(X0),omega)
| ~ sP2(X0) ),
inference(resolution,[],[f250,f278]) ).
fof(f852,plain,
! [X0] :
( in(sK26(sK29(powerset(sK25(X0)))),sK29(powerset(sK25(X0))))
| empty_set = sK29(powerset(sK25(X0)))
| ~ in(sK25(X0),omega)
| ~ sP2(X0) ),
inference(resolution,[],[f250,f276]) ).
fof(f859,plain,
! [X0] :
( empty_set = sK15(powerset(sK25(X0)))
| in(sK26(sK15(powerset(sK25(X0)))),sK15(powerset(sK25(X0))))
| ~ in(sK25(X0),omega)
| ~ sP2(X0) ),
inference(subsumption_resolution,[],[f851,f208]) ).
fof(f851,plain,
! [X0] :
( empty_set = sK15(powerset(sK25(X0)))
| in(sK26(sK15(powerset(sK25(X0)))),sK15(powerset(sK25(X0))))
| ~ in(sK25(X0),omega)
| ~ sP2(X0)
| empty(powerset(sK25(X0))) ),
inference(resolution,[],[f250,f211]) ).
fof(f858,plain,
! [X0] :
( empty_set = sK14(powerset(sK25(X0)))
| in(sK26(sK14(powerset(sK25(X0)))),sK14(powerset(sK25(X0))))
| ~ in(sK25(X0),omega)
| ~ sP2(X0) ),
inference(subsumption_resolution,[],[f850,f208]) ).
fof(f850,plain,
! [X0] :
( empty_set = sK14(powerset(sK25(X0)))
| in(sK26(sK14(powerset(sK25(X0)))),sK14(powerset(sK25(X0))))
| ~ in(sK25(X0),omega)
| ~ sP2(X0)
| empty(powerset(sK25(X0))) ),
inference(resolution,[],[f250,f209]) ).
fof(f250,plain,
! [X2,X0] :
( ~ element(X2,powerset(powerset(sK25(X0))))
| empty_set = X2
| in(sK26(X2),X2)
| ~ in(sK25(X0),omega)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f796,plain,
! [X0] :
( ~ in(sK19(sK23(X0)),sK24(sK19(sK23(X0))))
| sP5(sK23(X0))
| ~ sP3(X0) ),
inference(resolution,[],[f793,f288]) ).
fof(f793,plain,
! [X0] :
( in(sK24(sK19(sK23(X0))),sK19(sK23(X0)))
| ~ sP3(X0)
| sP5(sK23(X0)) ),
inference(subsumption_resolution,[],[f792,f244]) ).
fof(f792,plain,
! [X0] :
( in(sK24(sK19(sK23(X0))),sK19(sK23(X0)))
| ~ sP3(X0)
| sP5(sK23(X0))
| ~ ordinal(sK23(X0)) ),
inference(subsumption_resolution,[],[f791,f332]) ).
fof(f791,plain,
! [X0] :
( in(sK24(sK19(sK23(X0))),sK19(sK23(X0)))
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| sP5(sK23(X0))
| ~ ordinal(sK23(X0)) ),
inference(subsumption_resolution,[],[f786,f330]) ).
fof(f786,plain,
! [X0] :
( empty_set = sK19(sK23(X0))
| in(sK24(sK19(sK23(X0))),sK19(sK23(X0)))
| ~ in(sK23(X0),omega)
| ~ sP3(X0)
| sP5(sK23(X0))
| ~ ordinal(sK23(X0)) ),
inference(resolution,[],[f246,f331]) ).
fof(f246,plain,
! [X2,X0] :
( ~ element(X2,powerset(powerset(sK23(X0))))
| empty_set = X2
| in(sK24(X2),X2)
| ~ in(sK23(X0),omega)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f571,plain,
! [X0] :
( ~ in(omega,omega)
| ~ element(X0,powerset(powerset(omega)))
| empty_set = X0
| sP4(X0) ),
inference(forward_demodulation,[],[f570,f391]) ).
fof(f570,plain,
! [X0] :
( ~ element(X0,powerset(powerset(omega)))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(omega),omega) ),
inference(subsumption_resolution,[],[f562,f390]) ).
fof(f562,plain,
! [X0] :
( ~ element(X0,powerset(powerset(omega)))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(omega),omega)
| ~ sP5(omega) ),
inference(superposition,[],[f234,f391]) ).
fof(f731,plain,
! [X0] :
( ~ in(X0,sK13(X0))
| sP5(sK9(sK13(X0)))
| sP0(sK19(sK9(sK13(X0)))) ),
inference(resolution,[],[f728,f288]) ).
fof(f743,plain,
! [X0] :
( sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0))))
| ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0))) ),
inference(subsumption_resolution,[],[f736,f724]) ).
fof(f736,plain,
! [X0] :
( sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0))))
| ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f728,f325]) ).
fof(f742,plain,
! [X0] :
( sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0))))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0))) ),
inference(subsumption_resolution,[],[f735,f724]) ).
fof(f735,plain,
! [X0] :
( sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0))))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f728,f328]) ).
fof(f741,plain,
! [X0] :
( sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0))))
| empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0))) ),
inference(subsumption_resolution,[],[f734,f724]) ).
fof(f734,plain,
! [X0] :
( sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0))))
| empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f728,f326]) ).
fof(f740,plain,
! [X0] :
( sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0))))
| element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0))) ),
inference(subsumption_resolution,[],[f733,f724]) ).
fof(f733,plain,
! [X0] :
( sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0))))
| element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) ),
inference(resolution,[],[f728,f327]) ).
fof(f728,plain,
! [X0] :
( sP0(sK19(sK9(sK13(X0))))
| in(sK13(X0),X0)
| sP5(sK9(sK13(X0))) ),
inference(resolution,[],[f724,f190]) ).
fof(f724,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(sK19(sK9(X0)))
| sP5(sK9(X0)) ),
inference(subsumption_resolution,[],[f723,f177]) ).
fof(f723,plain,
! [X0,X1] :
( sP0(sK19(sK9(X0)))
| ~ sP1(X0,X1)
| sP5(sK9(X0))
| ~ ordinal(sK9(X0)) ),
inference(subsumption_resolution,[],[f722,f332]) ).
fof(f722,plain,
! [X0,X1] :
( sP0(sK19(sK9(X0)))
| ~ in(sK9(X0),omega)
| ~ sP1(X0,X1)
| sP5(sK9(X0))
| ~ ordinal(sK9(X0)) ),
inference(subsumption_resolution,[],[f716,f330]) ).
fof(f716,plain,
! [X0,X1] :
( empty_set = sK19(sK9(X0))
| sP0(sK19(sK9(X0)))
| ~ in(sK9(X0),omega)
| ~ sP1(X0,X1)
| sP5(sK9(X0))
| ~ ordinal(sK9(X0)) ),
inference(resolution,[],[f179,f331]) ).
fof(f179,plain,
! [X0,X1,X5] :
( ~ element(X5,powerset(powerset(sK9(X0))))
| empty_set = X5
| sP0(X5)
| ~ in(sK9(X0),omega)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f654,plain,
! [X0] :
( sK20(sK20(sK20(succ(X0)))) = sK20(sK20(sK20(sK20(succ(X0)))))
| ~ sP1(omega,X0)
| ~ ordinal(succ(X0)) ),
inference(resolution,[],[f639,f386]) ).
fof(f639,plain,
! [X0] :
( ~ sP5(X0)
| sK20(sK20(sK20(X0))) = sK20(sK20(sK20(sK20(X0)))) ),
inference(resolution,[],[f625,f567]) ).
fof(f636,plain,
! [X0] :
( sK20(sK20(succ(X0))) = sK20(sK20(sK20(succ(X0))))
| ~ sP1(omega,X0)
| ~ ordinal(succ(X0)) ),
inference(resolution,[],[f625,f386]) ).
fof(f625,plain,
! [X0] :
( ~ sP5(X0)
| sK20(sK20(X0)) = sK20(sK20(sK20(X0))) ),
inference(resolution,[],[f573,f567]) ).
fof(f573,plain,
! [X0] :
( ~ sP5(X0)
| sK20(X0) = sK20(sK20(X0)) ),
inference(resolution,[],[f567,f233]) ).
fof(f230,plain,
( sP3(sK18)
| ~ sP6 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( sK17 != sK18
& sP3(sK18)
& sK16 = sK18
& sP2(sK17)
& sK16 = sK17 )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f115,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2] :
( X1 != X2
& sP3(X2)
& X0 = X2
& sP2(X1)
& X0 = X1 )
=> ( sK17 != sK18
& sP3(sK18)
& sK16 = sK18
& sP2(sK17)
& sK16 = sK17 ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ? [X0,X1,X2] :
( X1 != X2
& sP3(X2)
& X0 = X2
& sP2(X1)
& X0 = X1 )
| ~ sP6 ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
( ? [X1,X2,X3] :
( X2 != X3
& sP3(X3)
& X1 = X3
& sP2(X2)
& X1 = X2 )
| ~ sP6 ),
inference(nnf_transformation,[],[f91]) ).
fof(f227,plain,
( sK16 = sK17
| ~ sP6 ),
inference(cnf_transformation,[],[f117]) ).
fof(f229,plain,
( sK16 = sK18
| ~ sP6 ),
inference(cnf_transformation,[],[f117]) ).
fof(f231,plain,
( sK17 != sK18
| ~ sP6 ),
inference(cnf_transformation,[],[f117]) ).
fof(f254,plain,
! [X2,X0] :
( sP5(X2)
| ~ in(X2,sK27(X0))
| sP6
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f567,plain,
! [X0] :
( sP5(sK20(X0))
| ~ sP5(X0) ),
inference(subsumption_resolution,[],[f566,f232]) ).
fof(f566,plain,
! [X0] :
( ~ sP5(X0)
| sP5(sK20(X0))
| ~ ordinal(sK20(X0)) ),
inference(subsumption_resolution,[],[f565,f332]) ).
fof(f565,plain,
! [X0] :
( ~ in(sK20(X0),omega)
| ~ sP5(X0)
| sP5(sK20(X0))
| ~ ordinal(sK20(X0)) ),
inference(subsumption_resolution,[],[f564,f329]) ).
fof(f564,plain,
! [X0] :
( sP4(sK19(sK20(X0)))
| ~ in(sK20(X0),omega)
| ~ sP5(X0)
| sP5(sK20(X0))
| ~ ordinal(sK20(X0)) ),
inference(subsumption_resolution,[],[f557,f330]) ).
fof(f557,plain,
! [X0] :
( empty_set = sK19(sK20(X0))
| sP4(sK19(sK20(X0)))
| ~ in(sK20(X0),omega)
| ~ sP5(X0)
| sP5(sK20(X0))
| ~ ordinal(sK20(X0)) ),
inference(resolution,[],[f234,f331]) ).
fof(f234,plain,
! [X0,X4] :
( ~ element(X4,powerset(powerset(sK20(X0))))
| empty_set = X4
| sP4(X4)
| ~ in(sK20(X0),omega)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( sP5(X0)
| ! [X1] :
( ( ~ sP4(sK19(X1))
& empty_set != sK19(X1)
& element(sK19(X1),powerset(powerset(X1)))
& in(X1,omega) )
| X0 != X1
| ~ ordinal(X1) ) )
& ( ( ( ! [X4] :
( sP4(X4)
| empty_set = X4
| ~ element(X4,powerset(powerset(sK20(X0)))) )
| ~ in(sK20(X0),omega) )
& sK20(X0) = X0
& ordinal(sK20(X0)) )
| ~ sP5(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f119,f121,f120]) ).
fof(f120,plain,
! [X1] :
( ? [X2] :
( ~ sP4(X2)
& empty_set != X2
& element(X2,powerset(powerset(X1))) )
=> ( ~ sP4(sK19(X1))
& empty_set != sK19(X1)
& element(sK19(X1),powerset(powerset(X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0] :
( ? [X3] :
( ( ! [X4] :
( sP4(X4)
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X0 = X3
& ordinal(X3) )
=> ( ( ! [X4] :
( sP4(X4)
| empty_set = X4
| ~ element(X4,powerset(powerset(sK20(X0)))) )
| ~ in(sK20(X0),omega) )
& sK20(X0) = X0
& ordinal(sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0] :
( ( sP5(X0)
| ! [X1] :
( ( ? [X2] :
( ~ sP4(X2)
& empty_set != X2
& element(X2,powerset(powerset(X1))) )
& in(X1,omega) )
| X0 != X1
| ~ ordinal(X1) ) )
& ( ? [X3] :
( ( ! [X4] :
( sP4(X4)
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X0 = X3
& ordinal(X3) )
| ~ sP5(X0) ) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X13] :
( ( sP5(X13)
| ! [X15] :
( ( ? [X16] :
( ~ sP4(X16)
& empty_set != X16
& element(X16,powerset(powerset(X15))) )
& in(X15,omega) )
| X13 != X15
| ~ ordinal(X15) ) )
& ( ? [X15] :
( ( ! [X16] :
( sP4(X16)
| empty_set = X16
| ~ element(X16,powerset(powerset(X15))) )
| ~ in(X15,omega) )
& X13 = X15
& ordinal(X15) )
| ~ sP5(X13) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f470,plain,
! [X0] :
( empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sK13(succ(X0)) = sK9(sK13(succ(X0))) ),
inference(subsumption_resolution,[],[f465,f178]) ).
fof(f465,plain,
! [X0] :
( empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| sK13(succ(X0)) = sK9(sK13(succ(X0))) ),
inference(resolution,[],[f326,f370]) ).
fof(f523,plain,
! [X0] :
( ~ in(omega,sK13(succ(X0)))
| sK13(succ(X0)) = sK9(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0))) ),
inference(resolution,[],[f444,f288]) ).
fof(f444,plain,
! [X0] :
( in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sK13(succ(X0)) = sK9(sK13(succ(X0))) ),
inference(subsumption_resolution,[],[f439,f178]) ).
fof(f439,plain,
! [X0] :
( in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| sK13(succ(X0)) = sK9(sK13(succ(X0))) ),
inference(resolution,[],[f328,f370]) ).
fof(f434,plain,
! [X0] :
( ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sK13(succ(X0)) = sK9(sK13(succ(X0))) ),
inference(subsumption_resolution,[],[f429,f178]) ).
fof(f429,plain,
! [X0] :
( ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| sK13(succ(X0)) = sK9(sK13(succ(X0))) ),
inference(resolution,[],[f325,f370]) ).
fof(f519,plain,
! [X0,X1] :
( element(sK8(sK21(succ(X0),X1)),powerset(powerset(sK21(succ(X0),X1))))
| ~ ordinal(sK21(succ(X0),X1))
| sP1(sK21(succ(X0),X1),X0)
| sP4(succ(X0))
| ~ in(X1,succ(X0)) ),
inference(resolution,[],[f327,f241]) ).
fof(f521,plain,
! [X0] :
( element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sK13(succ(X0)) = sK9(sK13(succ(X0))) ),
inference(subsumption_resolution,[],[f516,f178]) ).
fof(f516,plain,
! [X0] :
( element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| sK13(succ(X0)) = sK9(sK13(succ(X0))) ),
inference(resolution,[],[f327,f370]) ).
fof(f513,plain,
! [X0,X1] :
( element(sK8(sK10(succ(X0),X1)),powerset(powerset(sK10(succ(X0),X1))))
| ~ ordinal(sK10(succ(X0),X1))
| sP1(sK10(succ(X0),X1),X0)
| sP0(succ(X0))
| ~ in(X1,succ(X0)) ),
inference(resolution,[],[f327,f186]) ).
fof(f327,plain,
! [X2,X1] :
( ~ in(X2,succ(X1))
| element(sK8(X2),powerset(powerset(X2)))
| ~ ordinal(X2)
| sP1(X2,X1) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,plain,
! [X2,X0,X1] :
( sP1(X0,X1)
| element(sK8(X2),powerset(powerset(X2)))
| X0 != X2
| ~ ordinal(X2)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f471,plain,
! [X0] :
( empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| ordinal(sK9(sK13(succ(X0)))) ),
inference(subsumption_resolution,[],[f466,f177]) ).
fof(f466,plain,
! [X0] :
( empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| ordinal(sK9(sK13(succ(X0)))) ),
inference(resolution,[],[f326,f365]) ).
fof(f468,plain,
! [X0,X1] :
( empty_set != sK8(sK21(succ(X0),X1))
| ~ ordinal(sK21(succ(X0),X1))
| sP1(sK21(succ(X0),X1),X0)
| sP4(succ(X0))
| ~ in(X1,succ(X0)) ),
inference(resolution,[],[f326,f241]) ).
fof(f463,plain,
! [X0,X1] :
( empty_set != sK8(sK10(succ(X0),X1))
| ~ ordinal(sK10(succ(X0),X1))
| sP1(sK10(succ(X0),X1),X0)
| sP0(succ(X0))
| ~ in(X1,succ(X0)) ),
inference(resolution,[],[f326,f186]) ).
fof(f326,plain,
! [X2,X1] :
( ~ in(X2,succ(X1))
| empty_set != sK8(X2)
| ~ ordinal(X2)
| sP1(X2,X1) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X2,X0,X1] :
( sP1(X0,X1)
| empty_set != sK8(X2)
| X0 != X2
| ~ ordinal(X2)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f240,plain,
! [X0,X4] :
( ~ subset(sK22(X0),X4)
| sK22(X0) = X4
| ~ in(X4,X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( sP4(X0)
| ! [X1] :
( ( sK21(X0,X1) != X1
& subset(X1,sK21(X0,X1))
& in(sK21(X0,X1),X0) )
| ~ in(X1,X0) ) )
& ( ( ! [X4] :
( sK22(X0) = X4
| ~ subset(sK22(X0),X4)
| ~ in(X4,X0) )
& in(sK22(X0),X0) )
| ~ sP4(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f124,f126,f125]) ).
fof(f125,plain,
! [X0,X1] :
( ? [X2] :
( X1 != X2
& subset(X1,X2)
& in(X2,X0) )
=> ( sK21(X0,X1) != X1
& subset(X1,sK21(X0,X1))
& in(sK21(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X0) )
& in(X3,X0) )
=> ( ! [X4] :
( sK22(X0) = X4
| ~ subset(sK22(X0),X4)
| ~ in(X4,X0) )
& in(sK22(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0] :
( ( sP4(X0)
| ! [X1] :
( ? [X2] :
( X1 != X2
& subset(X1,X2)
& in(X2,X0) )
| ~ in(X1,X0) ) )
& ( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X0) )
& in(X3,X0) )
| ~ sP4(X0) ) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
! [X16] :
( ( sP4(X16)
| ! [X17] :
( ? [X18] :
( X17 != X18
& subset(X17,X18)
& in(X18,X16) )
| ~ in(X17,X16) ) )
& ( ? [X17] :
( ! [X18] :
( X17 = X18
| ~ subset(X17,X18)
| ~ in(X18,X16) )
& in(X17,X16) )
| ~ sP4(X16) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f185,plain,
! [X0,X4] :
( ~ subset(sK11(X0),X4)
| sK11(X0) = X4
| ~ in(X4,X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ( sK10(X0,X1) != X1
& subset(X1,sK10(X0,X1))
& in(sK10(X0,X1),X0) )
| ~ in(X1,X0) ) )
& ( ( ! [X4] :
( sK11(X0) = X4
| ~ subset(sK11(X0),X4)
| ~ in(X4,X0) )
& in(sK11(X0),X0) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f102,f104,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X2] :
( X1 != X2
& subset(X1,X2)
& in(X2,X0) )
=> ( sK10(X0,X1) != X1
& subset(X1,sK10(X0,X1))
& in(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X0) )
& in(X3,X0) )
=> ( ! [X4] :
( sK11(X0) = X4
| ~ subset(sK11(X0),X4)
| ~ in(X4,X0) )
& in(sK11(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ? [X2] :
( X1 != X2
& subset(X1,X2)
& in(X2,X0) )
| ~ in(X1,X0) ) )
& ( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X0) )
& in(X3,X0) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X4] :
( ( sP0(X4)
| ! [X5] :
( ? [X6] :
( X5 != X6
& subset(X5,X6)
& in(X6,X4) )
| ~ in(X5,X4) ) )
& ( ? [X5] :
( ! [X6] :
( X5 = X6
| ~ subset(X5,X6)
| ~ in(X6,X4) )
& in(X5,X4) )
| ~ sP0(X4) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f409,plain,
! [X0] :
( ~ sP1(omega,X0)
| ~ ordinal(succ(X0))
| succ(X0) = sK20(succ(X0)) ),
inference(resolution,[],[f386,f233]) ).
fof(f445,plain,
! [X0] :
( ordinal(sK9(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega) ),
inference(subsumption_resolution,[],[f440,f177]) ).
fof(f440,plain,
! [X0] :
( in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| ordinal(sK9(sK13(succ(X0)))) ),
inference(resolution,[],[f328,f365]) ).
fof(f442,plain,
! [X0,X1] :
( in(sK21(succ(X0),X1),omega)
| ~ ordinal(sK21(succ(X0),X1))
| sP1(sK21(succ(X0),X1),X0)
| sP4(succ(X0))
| ~ in(X1,succ(X0)) ),
inference(resolution,[],[f328,f241]) ).
fof(f437,plain,
! [X0,X1] :
( in(sK10(succ(X0),X1),omega)
| ~ ordinal(sK10(succ(X0),X1))
| sP1(sK10(succ(X0),X1),X0)
| sP0(succ(X0))
| ~ in(X1,succ(X0)) ),
inference(resolution,[],[f328,f186]) ).
fof(f435,plain,
! [X0] :
( ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| ordinal(sK9(sK13(succ(X0)))) ),
inference(subsumption_resolution,[],[f430,f177]) ).
fof(f430,plain,
! [X0] :
( ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| ordinal(sK9(sK13(succ(X0)))) ),
inference(resolution,[],[f325,f365]) ).
fof(f432,plain,
! [X0,X1] :
( ~ sP0(sK8(sK21(succ(X0),X1)))
| ~ ordinal(sK21(succ(X0),X1))
| sP1(sK21(succ(X0),X1),X0)
| sP4(succ(X0))
| ~ in(X1,succ(X0)) ),
inference(resolution,[],[f325,f241]) ).
fof(f427,plain,
! [X0,X1] :
( ~ sP0(sK8(sK10(succ(X0),X1)))
| ~ ordinal(sK10(succ(X0),X1))
| sP1(sK10(succ(X0),X1),X0)
| sP0(succ(X0))
| ~ in(X1,succ(X0)) ),
inference(resolution,[],[f325,f186]) ).
fof(f416,plain,
! [X0] :
( ~ ordinal(powerset(powerset(X0)))
| ~ ordinal(X0)
| epsilon_transitive(sK19(X0))
| sP5(X0) ),
inference(resolution,[],[f331,f256]) ).
fof(f415,plain,
! [X0] :
( ~ ordinal(powerset(powerset(X0)))
| ~ ordinal(X0)
| epsilon_connected(sK19(X0))
| sP5(X0) ),
inference(resolution,[],[f331,f257]) ).
fof(f414,plain,
! [X0] :
( ~ ordinal(powerset(powerset(X0)))
| ~ ordinal(X0)
| ordinal(sK19(X0))
| sP5(X0) ),
inference(resolution,[],[f331,f258]) ).
fof(f412,plain,
! [X0,X1] :
( ~ in(X0,sK21(X0,X1))
| ~ in(X1,X0)
| sP4(X0) ),
inference(resolution,[],[f241,f288]) ).
fof(f410,plain,
! [X0,X1] :
( ~ in(X0,sK10(X0,X1))
| ~ in(X1,X0)
| sP0(X0) ),
inference(resolution,[],[f186,f288]) ).
fof(f331,plain,
! [X1] :
( element(sK19(X1),powerset(powerset(X1)))
| sP5(X1)
| ~ ordinal(X1) ),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( sP5(X0)
| element(sK19(X1),powerset(powerset(X1)))
| X0 != X1
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f243,plain,
! [X0,X1] :
( sK21(X0,X1) != X1
| sP4(X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f242,plain,
! [X0,X1] :
( subset(X1,sK21(X0,X1))
| sP4(X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f241,plain,
! [X0,X1] :
( in(sK21(X0,X1),X0)
| sP4(X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f188,plain,
! [X0,X1] :
( sK10(X0,X1) != X1
| sP0(X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f187,plain,
! [X0,X1] :
( subset(X1,sK10(X0,X1))
| sP0(X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f186,plain,
! [X0,X1] :
( in(sK10(X0,X1),X0)
| sP0(X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f386,plain,
! [X0] :
( sP5(succ(X0))
| ~ sP1(omega,X0)
| ~ ordinal(succ(X0)) ),
inference(resolution,[],[f369,f332]) ).
fof(f385,plain,
! [X0,X1] :
( ~ sP1(succ(X1),X0)
| ~ sP1(succ(X0),X1) ),
inference(resolution,[],[f369,f176]) ).
fof(f381,plain,
! [X0] :
( ordinal(sK15(X0))
| ~ ordinal(powerset(X0))
| empty(X0) ),
inference(resolution,[],[f258,f211]) ).
fof(f380,plain,
! [X0] :
( ordinal(sK14(X0))
| ~ ordinal(powerset(X0))
| empty(X0) ),
inference(resolution,[],[f258,f209]) ).
fof(f397,plain,
! [X0] :
( ~ ordinal(powerset(X0))
| empty(X0)
| ordinal(sK15(X0)) ),
inference(subsumption_resolution,[],[f396,f372]) ).
fof(f396,plain,
! [X0] :
( ~ ordinal(powerset(X0))
| empty(X0)
| ordinal(sK15(X0))
| ~ epsilon_transitive(sK15(X0)) ),
inference(resolution,[],[f376,f269]) ).
fof(f376,plain,
! [X0] :
( epsilon_connected(sK15(X0))
| ~ ordinal(powerset(X0))
| empty(X0) ),
inference(resolution,[],[f257,f211]) ).
fof(f395,plain,
! [X0] :
( ~ ordinal(powerset(X0))
| empty(X0)
| ordinal(sK14(X0)) ),
inference(subsumption_resolution,[],[f394,f371]) ).
fof(f394,plain,
! [X0] :
( ~ ordinal(powerset(X0))
| empty(X0)
| ordinal(sK14(X0))
| ~ epsilon_transitive(sK14(X0)) ),
inference(resolution,[],[f375,f269]) ).
fof(f375,plain,
! [X0] :
( epsilon_connected(sK14(X0))
| ~ ordinal(powerset(X0))
| empty(X0) ),
inference(resolution,[],[f257,f209]) ).
fof(f372,plain,
! [X0] :
( epsilon_transitive(sK15(X0))
| ~ ordinal(powerset(X0))
| empty(X0) ),
inference(resolution,[],[f256,f211]) ).
fof(f371,plain,
! [X0] :
( epsilon_transitive(sK14(X0))
| ~ ordinal(powerset(X0))
| empty(X0) ),
inference(resolution,[],[f256,f209]) ).
fof(f393,plain,
! [X0] :
( ~ in(X0,sK13(X0))
| sK13(X0) = sK9(sK13(X0)) ),
inference(resolution,[],[f370,f288]) ).
fof(f330,plain,
! [X1] :
( empty_set != sK19(X1)
| sP5(X1)
| ~ ordinal(X1) ),
inference(equality_resolution,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( sP5(X0)
| empty_set != sK19(X1)
| X0 != X1
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f370,plain,
! [X0] :
( in(sK13(X0),X0)
| sK13(X0) = sK9(sK13(X0)) ),
inference(resolution,[],[f178,f190]) ).
fof(f391,plain,
omega = sK20(omega),
inference(resolution,[],[f390,f233]) ).
fof(f390,plain,
sP5(omega),
inference(subsumption_resolution,[],[f389,f199]) ).
fof(f389,plain,
( ~ ordinal(omega)
| sP5(omega) ),
inference(duplicate_literal_removal,[],[f388]) ).
fof(f388,plain,
( ~ ordinal(omega)
| sP5(omega)
| sP5(omega)
| ~ ordinal(omega) ),
inference(resolution,[],[f384,f332]) ).
fof(f387,plain,
! [X0] :
( ~ ordinal(succ(X0))
| sP5(succ(X0))
| ~ sP1(omega,X0) ),
inference(resolution,[],[f384,f176]) ).
fof(f384,plain,
! [X0] :
( ~ in(omega,X0)
| ~ ordinal(X0)
| sP5(X0) ),
inference(resolution,[],[f332,f288]) ).
fof(f369,plain,
! [X0,X1] :
( ~ in(succ(X1),X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f176,f288]) ).
fof(f332,plain,
! [X1] :
( in(X1,omega)
| sP5(X1)
| ~ ordinal(X1) ),
inference(equality_resolution,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( sP5(X0)
| in(X1,omega)
| X0 != X1
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f329,plain,
! [X1] :
( ~ sP4(sK19(X1))
| sP5(X1)
| ~ ordinal(X1) ),
inference(equality_resolution,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( sP5(X0)
| ~ sP4(sK19(X1))
| X0 != X1
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f258,plain,
! [X0,X1] :
( ~ element(X1,X0)
| ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( ordinal(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1) )
| ~ element(X1,X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( element(X1,X0)
=> ( ordinal(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_arytm_3) ).
fof(f377,plain,
! [X0] :
( epsilon_connected(sK29(X0))
| ~ ordinal(powerset(X0)) ),
inference(resolution,[],[f257,f276]) ).
fof(f257,plain,
! [X0,X1] :
( ~ element(X1,X0)
| epsilon_connected(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f373,plain,
! [X0] :
( epsilon_transitive(sK29(X0))
| ~ ordinal(powerset(X0)) ),
inference(resolution,[],[f256,f276]) ).
fof(f256,plain,
! [X0,X1] :
( ~ element(X1,X0)
| epsilon_transitive(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f211,plain,
! [X0] :
( element(sK15(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( finite(sK15(X0))
& ~ empty(sK15(X0))
& element(sK15(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f63,f112]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK15(X0))
& ~ empty(sK15(X0))
& element(sK15(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(f209,plain,
! [X0] :
( element(sK14(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( ~ empty(sK14(X0))
& element(sK14(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f62,f110]) ).
fof(f110,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK14(X0))
& element(sK14(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f178,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK9(X0) = X0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f368,plain,
! [X0] :
( ~ in(X0,sK13(X0))
| ordinal(sK9(sK13(X0))) ),
inference(resolution,[],[f365,f288]) ).
fof(f366,plain,
! [X0] :
( ~ in(X0,sK13(X0))
| sP1(sK13(X0),sK12) ),
inference(resolution,[],[f190,f288]) ).
fof(f365,plain,
! [X0] :
( in(sK13(X0),X0)
| ordinal(sK9(sK13(X0))) ),
inference(resolution,[],[f190,f177]) ).
fof(f191,plain,
! [X1] :
( ~ sP1(sK13(X1),sK12)
| ~ in(sK13(X1),X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f364,plain,
! [X0] :
( ~ in(X0,sK22(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f288,f239]) ).
fof(f363,plain,
! [X0] :
( ~ in(X0,sK11(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f288,f184]) ).
fof(f288,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f275,plain,
! [X0] :
( sP7(X0)
| ~ natural(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( sP7(X0)
| ~ natural(X0)
| ~ ordinal(X0) ),
inference(definition_folding,[],[f82,f93]) ).
fof(f93,plain,
! [X0] :
( ( natural(succ(X0))
& ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f82,plain,
! [X0] :
( ( natural(succ(X0))
& ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) )
| ~ natural(X0)
| ~ ordinal(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( natural(succ(X0))
& ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) )
| ~ natural(X0)
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( natural(X0)
& ordinal(X0) )
=> ( natural(succ(X0))
& ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_arytm_3) ).
fof(f269,plain,
! [X0] :
( ~ epsilon_connected(X0)
| ordinal(X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
=> ordinal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_ordinal1) ).
fof(f249,plain,
! [X0] :
( ~ sP2(X0)
| sK25(X0) = X0 ),
inference(cnf_transformation,[],[f137]) ).
fof(f245,plain,
! [X0] :
( ~ sP3(X0)
| sK23(X0) = X0 ),
inference(cnf_transformation,[],[f132]) ).
fof(f239,plain,
! [X0] :
( in(sK22(X0),X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f233,plain,
! [X0] :
( ~ sP5(X0)
| sK20(X0) = X0 ),
inference(cnf_transformation,[],[f122]) ).
fof(f184,plain,
! [X0] :
( in(sK11(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f177,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ordinal(sK9(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f278,plain,
! [X0] : element(sK30(X0),powerset(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( finite(sK30(X0))
& natural(sK30(X0))
& ordinal(sK30(X0))
& epsilon_connected(sK30(X0))
& epsilon_transitive(sK30(X0))
& function(sK30(X0))
& relation(sK30(X0))
& empty(sK30(X0))
& element(sK30(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f57,f146]) ).
fof(f146,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& natural(X1)
& ordinal(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1)
& function(X1)
& relation(X1)
& empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK30(X0))
& natural(sK30(X0))
& ordinal(sK30(X0))
& epsilon_connected(sK30(X0))
& epsilon_transitive(sK30(X0))
& function(sK30(X0))
& relation(sK30(X0))
& empty(sK30(X0))
& element(sK30(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
? [X1] :
( finite(X1)
& natural(X1)
& ordinal(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1)
& function(X1)
& relation(X1)
& empty(X1)
& element(X1,powerset(X0)) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,axiom,
! [X0] :
? [X1] :
( finite(X1)
& natural(X1)
& ordinal(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1)
& one_to_one(X1)
& function(X1)
& relation(X1)
& empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_finset_1) ).
fof(f276,plain,
! [X0] : element(sK29(X0),powerset(X0)),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( empty(sK29(X0))
& element(sK29(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f27,f144]) ).
fof(f144,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK29(X0))
& element(sK29(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f274,plain,
! [X0] :
( natural(succ(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ( natural(succ(X0))
& ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f93]) ).
fof(f273,plain,
! [X0] :
( ordinal(succ(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f272,plain,
! [X0] :
( epsilon_connected(succ(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f271,plain,
! [X0] :
( epsilon_transitive(succ(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f262,plain,
! [X0] :
( ~ element(X0,omega)
| natural(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( natural(X0)
& ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ element(X0,omega) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( element(X0,omega)
=> ( natural(X0)
& ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_arytm_3) ).
fof(f261,plain,
! [X0] :
( ~ element(X0,omega)
| ordinal(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f260,plain,
! [X0] :
( ~ element(X0,omega)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f259,plain,
! [X0] :
( ~ element(X0,omega)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f248,plain,
! [X0] :
( ordinal(sK25(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f244,plain,
! [X0] :
( ordinal(sK23(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f232,plain,
! [X0] :
( ordinal(sK20(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f226,plain,
! [X0] :
( ordinal(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ordinal(X0)
=> ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_ordinal1) ).
fof(f225,plain,
! [X0] :
( epsilon_connected(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f224,plain,
! [X0] :
( epsilon_transitive(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f212,plain,
! [X0] :
( ~ empty(sK15(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f210,plain,
! [X0] :
( ~ empty(sK14(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f335,plain,
! [X0] :
( natural(X0)
| ~ empty(X0) ),
inference(global_subsumption,[],[f325,f326,f327,f328,f179,f178,f177,f176,f188,f187,f186,f185,f184,f191,f190,f189,f192,f193,f195,f200,f199,f198,f197,f206,f205,f204,f203,f207,f208,f210,f209,f212,f211,f220,f219,f218,f226,f225,f224,f223,f334,f231,f230,f229,f228,f227,f329,f330,f331,f332,f234,f233,f232,f243,f242,f241,f240,f239,f247,f246,f245,f244,f251,f250,f249,f248,f333,f254,f253,f252,f258,f257,f256,f262,f261,f260,f259,f266]) ).
fof(f347,plain,
! [X0] : ordinal(sK29(X0)),
inference(resolution,[],[f220,f277]) ).
fof(f352,plain,
ordinal(sK43),
inference(resolution,[],[f220,f320]) ).
fof(f350,plain,
ordinal(sK37),
inference(resolution,[],[f220,f304]) ).
fof(f349,plain,
ordinal(sK32),
inference(resolution,[],[f220,f290]) ).
fof(f220,plain,
! [X0] :
( ~ empty(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( empty(X0)
=> ( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_ordinal1) ).
fof(f219,plain,
! [X0] :
( epsilon_connected(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f218,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f285,plain,
! [X0] : natural(sK30(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f284,plain,
! [X0] : ordinal(sK30(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f283,plain,
! [X0] : epsilon_connected(sK30(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f282,plain,
! [X0] : epsilon_transitive(sK30(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f279,plain,
! [X0] : empty(sK30(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f277,plain,
! [X0] : empty(sK29(X0)),
inference(cnf_transformation,[],[f145]) ).
fof(f228,plain,
( sP2(sK17)
| ~ sP6 ),
inference(cnf_transformation,[],[f117]) ).
fof(f208,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f207,plain,
! [X0] : ~ empty(succ(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] : ~ empty(succ(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_ordinal1) ).
fof(f324,plain,
ordinal(sK44),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ordinal(sK44)
& epsilon_connected(sK44)
& epsilon_transitive(sK44) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f22,f174]) ).
fof(f174,plain,
( ? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) )
=> ( ordinal(sK44)
& epsilon_connected(sK44)
& epsilon_transitive(sK44) ) ),
introduced(choice_axiom,[]) ).
fof(f22,axiom,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_ordinal1) ).
fof(f323,plain,
epsilon_connected(sK44),
inference(cnf_transformation,[],[f175]) ).
fof(f322,plain,
epsilon_transitive(sK44),
inference(cnf_transformation,[],[f175]) ).
fof(f320,plain,
empty(sK43),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( function(sK43)
& empty(sK43)
& relation(sK43) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f10,f172]) ).
fof(f172,plain,
( ? [X0] :
( function(X0)
& empty(X0)
& relation(X0) )
=> ( function(sK43)
& empty(sK43)
& relation(sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f10,axiom,
? [X0] :
( function(X0)
& empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f318,plain,
ordinal(sK42),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ordinal(sK42)
& epsilon_connected(sK42)
& epsilon_transitive(sK42)
& empty(sK42)
& function(sK42)
& relation(sK42) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f59,f170]) ).
fof(f170,plain,
( ? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& empty(X0)
& function(X0)
& relation(X0) )
=> ( ordinal(sK42)
& epsilon_connected(sK42)
& epsilon_transitive(sK42)
& empty(sK42)
& function(sK42)
& relation(sK42) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& empty(X0)
& function(X0)
& relation(X0) ),
inference(pure_predicate_removal,[],[f23]) ).
fof(f23,axiom,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& empty(X0)
& one_to_one(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_ordinal1) ).
fof(f317,plain,
epsilon_connected(sK42),
inference(cnf_transformation,[],[f171]) ).
fof(f316,plain,
epsilon_transitive(sK42),
inference(cnf_transformation,[],[f171]) ).
fof(f315,plain,
empty(sK42),
inference(cnf_transformation,[],[f171]) ).
fof(f304,plain,
empty(sK37),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( relation(sK37)
& empty(sK37) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f14,f160]) ).
fof(f160,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK37)
& empty(sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f14,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f303,plain,
natural(sK36),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( natural(sK36)
& ordinal(sK36)
& epsilon_connected(sK36)
& epsilon_transitive(sK36)
& ~ empty(sK36) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f19,f158]) ).
fof(f158,plain,
( ? [X0] :
( natural(X0)
& ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& ~ empty(X0) )
=> ( natural(sK36)
& ordinal(sK36)
& epsilon_connected(sK36)
& epsilon_transitive(sK36)
& ~ empty(sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f19,axiom,
? [X0] :
( natural(X0)
& ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_arytm_3) ).
fof(f302,plain,
ordinal(sK36),
inference(cnf_transformation,[],[f159]) ).
fof(f301,plain,
epsilon_connected(sK36),
inference(cnf_transformation,[],[f159]) ).
fof(f300,plain,
epsilon_transitive(sK36),
inference(cnf_transformation,[],[f159]) ).
fof(f299,plain,
~ empty(sK36),
inference(cnf_transformation,[],[f159]) ).
fof(f298,plain,
ordinal(sK35),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ordinal(sK35)
& epsilon_connected(sK35)
& epsilon_transitive(sK35)
& ~ empty(sK35) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f25,f156]) ).
fof(f156,plain,
( ? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& ~ empty(X0) )
=> ( ordinal(sK35)
& epsilon_connected(sK35)
& epsilon_transitive(sK35)
& ~ empty(sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_ordinal1) ).
fof(f297,plain,
epsilon_connected(sK35),
inference(cnf_transformation,[],[f157]) ).
fof(f296,plain,
epsilon_transitive(sK35),
inference(cnf_transformation,[],[f157]) ).
fof(f295,plain,
~ empty(sK35),
inference(cnf_transformation,[],[f157]) ).
fof(f293,plain,
~ empty(sK34),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( relation(sK34)
& ~ empty(sK34) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f16,f154]) ).
fof(f154,plain,
( ? [X0] :
( relation(X0)
& ~ empty(X0) )
=> ( relation(sK34)
& ~ empty(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f16,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f291,plain,
~ empty(sK33),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( finite(sK33)
& ~ empty(sK33) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f3,f152]) ).
fof(f152,plain,
( ? [X0] :
( finite(X0)
& ~ empty(X0) )
=> ( finite(sK33)
& ~ empty(sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f3,axiom,
? [X0] :
( finite(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(f290,plain,
empty(sK32),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
empty(sK32),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f28,f150]) ).
fof(f150,plain,
( ? [X0] : empty(X0)
=> empty(sK32) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f289,plain,
~ empty(sK31),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
~ empty(sK31),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f29,f148]) ).
fof(f148,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK31) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f206,plain,
ordinal(empty_set),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ordinal(empty_set)
& epsilon_connected(empty_set)
& epsilon_transitive(empty_set)
& empty(empty_set)
& function(empty_set)
& relation(empty_set) ),
inference(pure_predicate_removal,[],[f52]) ).
fof(f52,plain,
( ordinal(empty_set)
& epsilon_connected(empty_set)
& epsilon_transitive(empty_set)
& empty(empty_set)
& one_to_one(empty_set)
& function(empty_set)
& relation(empty_set) ),
inference(pure_predicate_removal,[],[f44]) ).
fof(f44,axiom,
( ordinal(empty_set)
& epsilon_connected(empty_set)
& epsilon_transitive(empty_set)
& empty(empty_set)
& one_to_one(empty_set)
& function(empty_set)
& relation_empty_yielding(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_ordinal1) ).
fof(f205,plain,
epsilon_connected(empty_set),
inference(cnf_transformation,[],[f56]) ).
fof(f204,plain,
epsilon_transitive(empty_set),
inference(cnf_transformation,[],[f56]) ).
fof(f200,plain,
~ empty(omega),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
( ~ empty(omega)
& ordinal(omega)
& epsilon_connected(omega)
& epsilon_transitive(omega) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_ordinal2) ).
fof(f199,plain,
ordinal(omega),
inference(cnf_transformation,[],[f37]) ).
fof(f198,plain,
epsilon_connected(omega),
inference(cnf_transformation,[],[f37]) ).
fof(f197,plain,
epsilon_transitive(omega),
inference(cnf_transformation,[],[f37]) ).
fof(f192,plain,
empty(empty_set),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f336,plain,
! [X0] : ~ empty(succ(X0)),
inference(global_subsumption,[],[f325,f326,f327,f328,f179,f178,f177,f176,f188,f187,f186,f185,f184,f191,f190,f189,f192,f193,f195,f200,f199,f198,f197,f206,f205,f204,f203,f207,f208,f210,f209,f212,f211,f220,f219,f218,f226,f225,f224,f223,f334,f231,f230,f229,f228,f227,f329,f330,f331,f332,f234,f233,f232,f243,f242,f241,f240,f239,f247,f246,f245,f244,f251,f250,f249,f248,f333,f254,f253,f252,f258,f257,f256,f262,f261,f260,f259,f266,f335,f269,f274,f273,f272,f271,f270]) ).
fof(f270,plain,
! [X0] :
( ~ empty(succ(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f266,plain,
! [X0] :
( natural(X0)
| ~ ordinal(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( natural(X0)
& ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0)
| ~ empty(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( natural(X0)
& ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ( ordinal(X0)
& empty(X0) )
=> ( natural(X0)
& ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_arytm_3) ).
fof(f334,plain,
! [X0] : ~ empty(succ(X0)),
inference(global_subsumption,[],[f325,f326,f327,f328,f179,f178,f177,f176,f188,f187,f186,f185,f184,f191,f190,f189,f192,f193,f195,f200,f199,f198,f197,f206,f205,f204,f203,f207,f208,f210,f209,f212,f211,f220,f219,f218,f226,f225,f224,f223]) ).
fof(f223,plain,
! [X0] :
( ~ empty(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f203,plain,
empty(empty_set),
inference(cnf_transformation,[],[f56]) ).
fof(f195,plain,
empty(empty_set),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(pure_predicate_removal,[],[f39]) ).
fof(f39,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f193,plain,
empty(empty_set),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f3202,plain,
( spl45_1
| ~ spl45_17
| spl45_64
| spl45_66 ),
inference(avatar_contradiction_clause,[],[f3201]) ).
fof(f3201,plain,
( $false
| spl45_1
| ~ spl45_17
| spl45_64
| spl45_66 ),
inference(global_subsumption,[],[f1816,f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f386,f186,f187,f188,f241,f242,f243,f331,f410,f412,f414,f415,f416,f325,f427,f432,f435,f328,f437,f442,f445,f409,f185,f240,f326,f463,f468,f471,f327,f513,f521,f519,f434,f444,f523,f470,f234,f567,f333,f252,f253,f254,f231,f229,f227,f230,f573,f625,f636,f639,f654,f179,f724,f728,f740,f741,f742,f743,f731,f571,f246,f793,f796,f250,f858,f859,f852,f853,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f857,f451,f1062,f1063,f452,f1106,f1107,f1110,f1111,f455,f1196,f1197,f1200,f1121,f1214,f1215,f1216,f1217,f1212,f456,f1226,f1227,f1210,f1245,f1246,f1247,f1248,f1243,f1209,f1291,f1292,f1293,f1294,f1289,f431,f441,f1490,f1493,f1489,f467,f428,f1208,f1582,f1583,f1584,f1585,f1580,f1009,f433,f1207,f1645,f1646,f1647,f1648,f1643,f438,f1661,f1663,f1664,f623,f658,f1666,f1668,f1686,f522,f1734,f1735,f1736,f443,f1786,f1788,f1789,f1798,f1805,f1806,f1809,f1810,f1811,f1812,f1813,f1814,f560,f1846,f561,f1934,f568,f2013,f569,f2102,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f514,f2935,f2936,f2937,f520,f3037,f3038,f3039,f789,f3070,f790,f3081,f794,f3088,f1895,f795,f3176,f3128]) ).
fof(f3200,plain,
( spl45_64
| spl45_66 ),
inference(avatar_contradiction_clause,[],[f3199]) ).
fof(f3199,plain,
( $false
| spl45_64
| spl45_66 ),
inference(subsumption_resolution,[],[f1805,f1895]) ).
fof(f3196,plain,
( spl45_64
| spl45_66 ),
inference(avatar_contradiction_clause,[],[f3195]) ).
fof(f3195,plain,
( $false
| spl45_64
| spl45_66 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f386,f186,f187,f188,f241,f242,f243,f331,f410,f412,f414,f415,f416,f325,f427,f432,f435,f328,f437,f442,f445,f409,f185,f240,f326,f463,f468,f471,f327,f513,f521,f519,f434,f444,f523,f470,f234,f567,f333,f252,f253,f254,f231,f229,f227,f230,f573,f625,f636,f639,f654,f179,f724,f728,f740,f741,f742,f743,f731,f571,f246,f793,f796,f250,f858,f859,f852,f853,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f857,f451,f1062,f1063,f452,f1106,f1107,f1110,f1111,f455,f1196,f1197,f1200,f1121,f1214,f1215,f1216,f1217,f1212,f456,f1226,f1227,f1210,f1245,f1246,f1247,f1248,f1243,f1209,f1291,f1292,f1293,f1294,f1289,f431,f441,f1490,f1493,f1489,f467,f428,f1208,f1582,f1583,f1584,f1585,f1580,f1009,f433,f1207,f1645,f1646,f1647,f1648,f1643,f438,f1661,f1663,f1664,f623,f658,f1666,f1668,f1686,f522,f1734,f1735,f1736,f443,f1786,f1788,f1789,f1798,f1805,f1806,f1809,f1810,f1811,f1812,f1813,f1814,f560,f1846,f561,f1934,f568,f2013,f569,f2102,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f514,f2935,f2936,f2937,f520,f3037,f3038,f3039,f789,f3070,f790,f3081,f794,f3088,f1895,f795,f3176,f3128]) ).
fof(f3194,plain,
( spl45_1
| spl45_64
| spl45_66 ),
inference(avatar_contradiction_clause,[],[f3193]) ).
fof(f3193,plain,
( $false
| spl45_1
| spl45_64
| spl45_66 ),
inference(global_subsumption,[],[f3129,f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f386,f186,f187,f188,f241,f242,f243,f331,f410,f412,f414,f415,f416,f325,f427,f432,f435,f328,f437,f442,f445,f409,f185,f240,f326,f463,f468,f471,f327,f513,f521,f519,f434,f444,f523,f470,f234,f567,f333,f252,f253,f254,f231,f229,f227,f230,f573,f625,f636,f639,f654,f179,f724,f728,f740,f741,f742,f743,f731,f571,f246,f793,f796,f250,f858,f859,f852,f853,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f857,f451,f1062,f1063,f452,f1106,f1107,f1110,f1111,f455,f1196,f1197,f1200,f1121,f1214,f1215,f1216,f1217,f1212,f456,f1226,f1227,f1210,f1245,f1246,f1247,f1248,f1243,f1209,f1291,f1292,f1293,f1294,f1289,f431,f441,f1490,f1493,f1489,f467,f428,f1208,f1582,f1583,f1584,f1585,f1580,f1009,f433,f1207,f1645,f1646,f1647,f1648,f1643,f438,f1661,f1663,f1664,f623,f658,f1666,f1668,f1686,f522,f1734,f1735,f1736,f443,f1786,f1788,f1789,f1798,f1805,f1806,f1809,f1810,f1811,f1812,f1813,f1814,f560,f1846,f561,f1934,f568,f2013,f569,f2102,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f514,f2935,f2936,f2937,f520,f3037,f3038,f3039,f789,f3070,f790,f3081,f794,f3088,f1895,f795,f3176]) ).
fof(f3129,plain,
( sK13(sK27(sK12)) = sK28(sK12,sK13(sK27(sK12)))
| spl45_1
| spl45_66 ),
inference(subsumption_resolution,[],[f3126,f189]) ).
fof(f3126,plain,
( ~ ordinal(sK12)
| sK13(sK27(sK12)) = sK28(sK12,sK13(sK27(sK12)))
| spl45_1
| spl45_66 ),
inference(resolution,[],[f1895,f651]) ).
fof(f651,plain,
( ! [X0] :
( sP1(sK13(sK27(X0)),sK12)
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f635,f190]) ).
fof(f3192,plain,
( spl45_1
| ~ spl45_18
| ~ spl45_56
| ~ spl45_64
| spl45_66
| spl45_67 ),
inference(avatar_contradiction_clause,[],[f3191]) ).
fof(f3191,plain,
( $false
| spl45_1
| ~ spl45_18
| ~ spl45_56
| ~ spl45_64
| spl45_66
| spl45_67 ),
inference(subsumption_resolution,[],[f3190,f1900]) ).
fof(f1900,plain,
( ~ sP0(sK8(sK13(sK27(sK12))))
| spl45_67 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f3190,plain,
( sP0(sK8(sK13(sK27(sK12))))
| spl45_1
| ~ spl45_18
| ~ spl45_56
| ~ spl45_64
| spl45_66 ),
inference(resolution,[],[f3189,f1200]) ).
fof(f3189,plain,
( sP4(sK8(sK13(sK27(sK12))))
| spl45_1
| ~ spl45_18
| ~ spl45_56
| ~ spl45_64
| spl45_66 ),
inference(subsumption_resolution,[],[f3185,f3169]) ).
fof(f3169,plain,
( empty_set != sK8(sK13(sK27(sK12)))
| spl45_1
| ~ spl45_18
| ~ spl45_64
| spl45_66 ),
inference(subsumption_resolution,[],[f3168,f1895]) ).
fof(f3168,plain,
( sP1(sK13(sK27(sK12)),sK12)
| empty_set != sK8(sK13(sK27(sK12)))
| spl45_1
| ~ spl45_18
| ~ spl45_64 ),
inference(forward_demodulation,[],[f3167,f3122]) ).
fof(f3167,plain,
( empty_set != sK8(sK13(sK27(sK12)))
| sP1(sK28(sK12,sK13(sK27(sK12))),sK12)
| spl45_1
| ~ spl45_18
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f3166,f928]) ).
fof(f3166,plain,
( ~ ordinal(sK13(sK27(sK12)))
| empty_set != sK8(sK13(sK27(sK12)))
| sP1(sK28(sK12,sK13(sK27(sK12))),sK12)
| spl45_1
| ~ spl45_64 ),
inference(forward_demodulation,[],[f3165,f3122]) ).
fof(f3165,plain,
( empty_set != sK8(sK13(sK27(sK12)))
| ~ ordinal(sK28(sK12,sK13(sK27(sK12))))
| sP1(sK28(sK12,sK13(sK27(sK12))),sK12)
| spl45_1
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f3164,f1797]) ).
fof(f3164,plain,
( empty_set != sK8(sK13(sK27(sK12)))
| ~ in(sK13(sK27(sK12)),sK27(sK12))
| ~ ordinal(sK28(sK12,sK13(sK27(sK12))))
| sP1(sK28(sK12,sK13(sK27(sK12))),sK12)
| spl45_1
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f3159,f189]) ).
fof(f3159,plain,
( empty_set != sK8(sK13(sK27(sK12)))
| ~ ordinal(sK12)
| ~ in(sK13(sK27(sK12)),sK27(sK12))
| ~ ordinal(sK28(sK12,sK13(sK27(sK12))))
| sP1(sK28(sK12,sK13(sK27(sK12))),sK12)
| spl45_1
| ~ spl45_64 ),
inference(superposition,[],[f669,f3122]) ).
fof(f669,plain,
( ! [X0,X1] :
( empty_set != sK8(sK28(X1,X0))
| ~ ordinal(X1)
| ~ in(X0,sK27(X1))
| ~ ordinal(sK28(X1,X0))
| sP1(sK28(X1,X0),X1) )
| spl45_1 ),
inference(resolution,[],[f667,f326]) ).
fof(f3185,plain,
( sP4(sK8(sK13(sK27(sK12))))
| empty_set = sK8(sK13(sK27(sK12)))
| spl45_1
| ~ spl45_18
| ~ spl45_56
| ~ spl45_64
| spl45_66 ),
inference(resolution,[],[f3184,f1608]) ).
fof(f1608,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK12)))))
| sP4(X0)
| empty_set = X0 )
| ~ spl45_56 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f1607,plain,
( spl45_56
<=> ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK12)))))
| sP4(X0)
| empty_set = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_56])]) ).
fof(f3184,plain,
( element(sK8(sK13(sK27(sK12))),powerset(powerset(sK13(sK27(sK12)))))
| spl45_1
| ~ spl45_18
| ~ spl45_64
| spl45_66 ),
inference(subsumption_resolution,[],[f3183,f1895]) ).
fof(f3183,plain,
( element(sK8(sK13(sK27(sK12))),powerset(powerset(sK13(sK27(sK12)))))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| ~ spl45_18
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f3178,f928]) ).
fof(f3178,plain,
( element(sK8(sK13(sK27(sK12))),powerset(powerset(sK13(sK27(sK12)))))
| ~ ordinal(sK13(sK27(sK12)))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| ~ spl45_64 ),
inference(resolution,[],[f3175,f327]) ).
fof(f3121,plain,
( ~ spl45_15
| ~ spl45_17
| spl45_18 ),
inference(avatar_contradiction_clause,[],[f3120]) ).
fof(f3120,plain,
( $false
| ~ spl45_15
| ~ spl45_17
| spl45_18 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f386,f186,f187,f188,f241,f242,f243,f331,f410,f412,f414,f415,f416,f325,f427,f432,f435,f328,f437,f442,f445,f409,f185,f240,f326,f463,f468,f471,f327,f513,f521,f519,f434,f444,f523,f470,f234,f567,f333,f252,f253,f254,f231,f229,f227,f230,f573,f625,f636,f639,f654,f179,f724,f728,f740,f741,f742,f743,f731,f571,f246,f795,f793,f796,f250,f858,f859,f852,f853,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f857,f451,f1062,f1063,f452,f1106,f1107,f1110,f1111,f1171,f1172,f1173,f924,f1181,f1182,f1183,f1184,f455,f1196,f1197,f1200,f891,f1121,f1214,f1215,f1216,f1217,f1212,f456,f1226,f1227,f1210,f1245,f1246,f1247,f1248,f1243,f1209,f1291,f1292,f1293,f1294,f1289,f431,f441,f1490,f1493,f1489,f467,f428,f1208,f1582,f1583,f1584,f1585,f1580,f1009,f1206,f433,f1207,f1645,f1646,f1647,f1648,f1643,f438,f1661,f1663,f1664,f623,f658,f1666,f1668,f1686,f522,f1734,f1735,f1736,f443,f1786,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f569,f2102,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f514,f2935,f2936,f2937,f520,f3037,f3038,f3039,f789,f3070,f790,f3081,f794,f3088,f3119,f927]) ).
fof(f927,plain,
( ~ ordinal(sK13(sK27(sK12)))
| spl45_18 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f3119,plain,
( ordinal(sK13(sK27(sK12)))
| ~ spl45_15
| ~ spl45_17 ),
inference(subsumption_resolution,[],[f1204,f924]) ).
fof(f1204,plain,
( ordinal(sK13(sK27(sK12)))
| ~ sP5(sK13(sK27(sK12)))
| ~ spl45_15 ),
inference(superposition,[],[f232,f891]) ).
fof(f1206,plain,
( ! [X0] :
( ~ in(sK13(sK27(sK12)),omega)
| ~ element(X0,powerset(powerset(sK13(sK27(sK12)))))
| empty_set = X0
| sP4(X0) )
| ~ spl45_15
| ~ spl45_17 ),
inference(forward_demodulation,[],[f1205,f891]) ).
fof(f1205,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK12)))))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(sK13(sK27(sK12))),omega) )
| ~ spl45_15
| ~ spl45_17 ),
inference(subsumption_resolution,[],[f1203,f924]) ).
fof(f1203,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK12)))))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ sP5(sK13(sK27(sK12))) )
| ~ spl45_15 ),
inference(superposition,[],[f234,f891]) ).
fof(f891,plain,
( sK13(sK27(sK12)) = sK20(sK13(sK27(sK12)))
| ~ spl45_15 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f889,plain,
( spl45_15
<=> sK13(sK27(sK12)) = sK20(sK13(sK27(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_15])]) ).
fof(f1184,plain,
( sK13(sK27(sK12)) = sK20(sK13(sK27(sK12)))
| ~ spl45_17 ),
inference(resolution,[],[f924,f233]) ).
fof(f1183,plain,
( sK20(sK13(sK27(sK12))) = sK20(sK20(sK13(sK27(sK12))))
| ~ spl45_17 ),
inference(resolution,[],[f924,f573]) ).
fof(f1182,plain,
( sK20(sK20(sK13(sK27(sK12)))) = sK20(sK20(sK20(sK13(sK27(sK12)))))
| ~ spl45_17 ),
inference(resolution,[],[f924,f625]) ).
fof(f1181,plain,
( sK20(sK20(sK20(sK13(sK27(sK12))))) = sK20(sK20(sK20(sK20(sK13(sK27(sK12))))))
| ~ spl45_17 ),
inference(resolution,[],[f924,f639]) ).
fof(f1173,plain,
( sK20(sK13(sK27(sK12))) = sK20(sK20(sK13(sK27(sK12))))
| ~ spl45_17 ),
inference(resolution,[],[f924,f573]) ).
fof(f1172,plain,
( sK20(sK20(sK13(sK27(sK12)))) = sK20(sK20(sK20(sK13(sK27(sK12)))))
| ~ spl45_17 ),
inference(resolution,[],[f924,f625]) ).
fof(f1171,plain,
( sK20(sK20(sK20(sK13(sK27(sK12))))) = sK20(sK20(sK20(sK20(sK13(sK27(sK12))))))
| ~ spl45_17 ),
inference(resolution,[],[f924,f639]) ).
fof(f3114,plain,
( spl45_16
| ~ spl45_66 ),
inference(avatar_contradiction_clause,[],[f3113]) ).
fof(f3113,plain,
( $false
| spl45_16
| ~ spl45_66 ),
inference(subsumption_resolution,[],[f3109,f894]) ).
fof(f894,plain,
( sK13(sK27(sK12)) != sK9(sK13(sK27(sK12)))
| spl45_16 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f893,plain,
( spl45_16
<=> sK13(sK27(sK12)) = sK9(sK13(sK27(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_16])]) ).
fof(f3109,plain,
( sK13(sK27(sK12)) = sK9(sK13(sK27(sK12)))
| ~ spl45_66 ),
inference(resolution,[],[f1896,f178]) ).
fof(f3112,plain,
( ~ spl45_64
| ~ spl45_66 ),
inference(avatar_contradiction_clause,[],[f3111]) ).
fof(f3111,plain,
( $false
| ~ spl45_64
| ~ spl45_66 ),
inference(subsumption_resolution,[],[f3106,f1797]) ).
fof(f3106,plain,
( ~ in(sK13(sK27(sK12)),sK27(sK12))
| ~ spl45_66 ),
inference(resolution,[],[f1896,f191]) ).
fof(f3097,plain,
( spl45_1
| spl45_16
| ~ spl45_18
| ~ spl45_56
| ~ spl45_64
| spl45_66
| spl45_67 ),
inference(avatar_contradiction_clause,[],[f3096]) ).
fof(f3096,plain,
( $false
| spl45_1
| spl45_16
| ~ spl45_18
| ~ spl45_56
| ~ spl45_64
| spl45_66
| spl45_67 ),
inference(subsumption_resolution,[],[f3095,f1900]) ).
fof(f3095,plain,
( sP0(sK8(sK13(sK27(sK12))))
| spl45_1
| spl45_16
| ~ spl45_18
| ~ spl45_56
| ~ spl45_64
| spl45_66 ),
inference(resolution,[],[f3094,f1200]) ).
fof(f3094,plain,
( sP4(sK8(sK13(sK27(sK12))))
| spl45_1
| spl45_16
| ~ spl45_18
| ~ spl45_56
| ~ spl45_64
| spl45_66 ),
inference(subsumption_resolution,[],[f3090,f1905]) ).
fof(f1905,plain,
( empty_set != sK8(sK13(sK27(sK12)))
| spl45_1
| spl45_16
| ~ spl45_18
| ~ spl45_64
| spl45_66 ),
inference(subsumption_resolution,[],[f1830,f1895]) ).
fof(f1830,plain,
( empty_set != sK8(sK13(sK27(sK12)))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| spl45_16
| ~ spl45_18
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f1825,f928]) ).
fof(f1825,plain,
( empty_set != sK8(sK13(sK27(sK12)))
| ~ ordinal(sK13(sK27(sK12)))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| spl45_16
| ~ spl45_64 ),
inference(resolution,[],[f1822,f326]) ).
fof(f1822,plain,
( in(sK13(sK27(sK12)),succ(sK12))
| spl45_1
| spl45_16
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f1777,f1797]) ).
fof(f1777,plain,
( in(sK13(sK27(sK12)),succ(sK12))
| ~ in(sK13(sK27(sK12)),sK27(sK12))
| spl45_1
| spl45_16 ),
inference(subsumption_resolution,[],[f1775,f189]) ).
fof(f1775,plain,
( in(sK13(sK27(sK12)),succ(sK12))
| ~ in(sK13(sK27(sK12)),sK27(sK12))
| ~ ordinal(sK12)
| spl45_1
| spl45_16 ),
inference(superposition,[],[f667,f1770]) ).
fof(f1770,plain,
( sK13(sK27(sK12)) = sK28(sK12,sK13(sK27(sK12)))
| spl45_1
| spl45_16 ),
inference(subsumption_resolution,[],[f1745,f894]) ).
fof(f1745,plain,
( sK13(sK27(sK12)) = sK28(sK12,sK13(sK27(sK12)))
| sK13(sK27(sK12)) = sK9(sK13(sK27(sK12)))
| spl45_1 ),
inference(resolution,[],[f649,f189]) ).
fof(f649,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f635,f370]) ).
fof(f3090,plain,
( sP4(sK8(sK13(sK27(sK12))))
| empty_set = sK8(sK13(sK27(sK12)))
| spl45_1
| spl45_16
| ~ spl45_18
| ~ spl45_56
| ~ spl45_64
| spl45_66 ),
inference(resolution,[],[f3089,f1608]) ).
fof(f3089,plain,
( element(sK8(sK13(sK27(sK12))),powerset(powerset(sK13(sK27(sK12)))))
| spl45_1
| spl45_16
| ~ spl45_18
| ~ spl45_64
| spl45_66 ),
inference(subsumption_resolution,[],[f1829,f1895]) ).
fof(f1829,plain,
( element(sK8(sK13(sK27(sK12))),powerset(powerset(sK13(sK27(sK12)))))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| spl45_16
| ~ spl45_18
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f1824,f928]) ).
fof(f1824,plain,
( element(sK8(sK13(sK27(sK12))),powerset(powerset(sK13(sK27(sK12)))))
| ~ ordinal(sK13(sK27(sK12)))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| spl45_16
| ~ spl45_64 ),
inference(resolution,[],[f1822,f327]) ).
fof(f3079,plain,
( spl45_104
| spl45_105
| ~ spl45_52
| ~ spl45_54
| ~ spl45_79 ),
inference(avatar_split_clause,[],[f2333,f2196,f1556,f1543,f3076,f3072]) ).
fof(f3072,plain,
( spl45_104
<=> sP4(sK15(powerset(sK13(sK27(sK44))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_104])]) ).
fof(f3076,plain,
( spl45_105
<=> empty_set = sK15(powerset(sK13(sK27(sK44)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_105])]) ).
fof(f1543,plain,
( spl45_52
<=> sK13(sK27(sK44)) = sK20(sK13(sK27(sK44))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_52])]) ).
fof(f1556,plain,
( spl45_54
<=> sP5(sK13(sK27(sK44))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_54])]) ).
fof(f2196,plain,
( spl45_79
<=> in(sK13(sK27(sK44)),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_79])]) ).
fof(f2333,plain,
( empty_set = sK15(powerset(sK13(sK27(sK44))))
| sP4(sK15(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54
| ~ spl45_79 ),
inference(subsumption_resolution,[],[f2238,f2198]) ).
fof(f2198,plain,
( in(sK13(sK27(sK44)),omega)
| ~ spl45_79 ),
inference(avatar_component_clause,[],[f2196]) ).
fof(f2238,plain,
( ~ in(sK13(sK27(sK44)),omega)
| empty_set = sK15(powerset(sK13(sK27(sK44))))
| sP4(sK15(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2237,f1545]) ).
fof(f1545,plain,
( sK13(sK27(sK44)) = sK20(sK13(sK27(sK44)))
| ~ spl45_52 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f2237,plain,
( empty_set = sK15(powerset(sK13(sK27(sK44))))
| sP4(sK15(powerset(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2236,f1545]) ).
fof(f2236,plain,
( sP4(sK15(powerset(sK13(sK27(sK44)))))
| empty_set = sK15(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(subsumption_resolution,[],[f2224,f1557]) ).
fof(f1557,plain,
( sP5(sK13(sK27(sK44)))
| ~ spl45_54 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f2224,plain,
( sP4(sK15(powerset(sK13(sK27(sK44)))))
| empty_set = sK15(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ sP5(sK13(sK27(sK44)))
| ~ spl45_52 ),
inference(superposition,[],[f569,f1545]) ).
fof(f3068,plain,
( spl45_102
| spl45_103
| ~ spl45_52
| ~ spl45_54
| ~ spl45_79 ),
inference(avatar_split_clause,[],[f2332,f2196,f1556,f1543,f3065,f3061]) ).
fof(f3061,plain,
( spl45_102
<=> sP4(sK14(powerset(sK13(sK27(sK44))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_102])]) ).
fof(f3065,plain,
( spl45_103
<=> empty_set = sK14(powerset(sK13(sK27(sK44)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_103])]) ).
fof(f2332,plain,
( empty_set = sK14(powerset(sK13(sK27(sK44))))
| sP4(sK14(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54
| ~ spl45_79 ),
inference(subsumption_resolution,[],[f2235,f2198]) ).
fof(f2235,plain,
( ~ in(sK13(sK27(sK44)),omega)
| empty_set = sK14(powerset(sK13(sK27(sK44))))
| sP4(sK14(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2234,f1545]) ).
fof(f2234,plain,
( empty_set = sK14(powerset(sK13(sK27(sK44))))
| sP4(sK14(powerset(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2233,f1545]) ).
fof(f2233,plain,
( sP4(sK14(powerset(sK13(sK27(sK44)))))
| empty_set = sK14(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(subsumption_resolution,[],[f2223,f1557]) ).
fof(f2223,plain,
( sP4(sK14(powerset(sK13(sK27(sK44)))))
| empty_set = sK14(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ sP5(sK13(sK27(sK44)))
| ~ spl45_52 ),
inference(superposition,[],[f568,f1545]) ).
fof(f3058,plain,
( spl45_100
| spl45_101
| ~ spl45_52
| ~ spl45_54
| ~ spl45_79 ),
inference(avatar_split_clause,[],[f2331,f2196,f1556,f1543,f3055,f3051]) ).
fof(f3051,plain,
( spl45_100
<=> sP4(sK30(powerset(sK13(sK27(sK44))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_100])]) ).
fof(f3055,plain,
( spl45_101
<=> empty_set = sK30(powerset(sK13(sK27(sK44)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_101])]) ).
fof(f2331,plain,
( empty_set = sK30(powerset(sK13(sK27(sK44))))
| sP4(sK30(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54
| ~ spl45_79 ),
inference(subsumption_resolution,[],[f2232,f2198]) ).
fof(f2232,plain,
( ~ in(sK13(sK27(sK44)),omega)
| empty_set = sK30(powerset(sK13(sK27(sK44))))
| sP4(sK30(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2231,f1545]) ).
fof(f2231,plain,
( empty_set = sK30(powerset(sK13(sK27(sK44))))
| sP4(sK30(powerset(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2230,f1545]) ).
fof(f2230,plain,
( sP4(sK30(powerset(sK13(sK27(sK44)))))
| empty_set = sK30(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(subsumption_resolution,[],[f2221,f1557]) ).
fof(f2221,plain,
( sP4(sK30(powerset(sK13(sK27(sK44)))))
| empty_set = sK30(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ sP5(sK13(sK27(sK44)))
| ~ spl45_52 ),
inference(superposition,[],[f561,f1545]) ).
fof(f3048,plain,
( spl45_98
| spl45_99
| ~ spl45_52
| ~ spl45_54
| ~ spl45_79 ),
inference(avatar_split_clause,[],[f2330,f2196,f1556,f1543,f3045,f3041]) ).
fof(f3041,plain,
( spl45_98
<=> sP4(sK29(powerset(sK13(sK27(sK44))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_98])]) ).
fof(f3045,plain,
( spl45_99
<=> empty_set = sK29(powerset(sK13(sK27(sK44)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_99])]) ).
fof(f2330,plain,
( empty_set = sK29(powerset(sK13(sK27(sK44))))
| sP4(sK29(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54
| ~ spl45_79 ),
inference(subsumption_resolution,[],[f2229,f2198]) ).
fof(f2229,plain,
( ~ in(sK13(sK27(sK44)),omega)
| empty_set = sK29(powerset(sK13(sK27(sK44))))
| sP4(sK29(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2228,f1545]) ).
fof(f2228,plain,
( empty_set = sK29(powerset(sK13(sK27(sK44))))
| sP4(sK29(powerset(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2227,f1545]) ).
fof(f2227,plain,
( sP4(sK29(powerset(sK13(sK27(sK44)))))
| empty_set = sK29(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(subsumption_resolution,[],[f2220,f1557]) ).
fof(f2220,plain,
( sP4(sK29(powerset(sK13(sK27(sK44)))))
| empty_set = sK29(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ sP5(sK13(sK27(sK44)))
| ~ spl45_52 ),
inference(superposition,[],[f560,f1545]) ).
fof(f2962,plain,
( spl45_1
| ~ spl45_30
| ~ spl45_72
| spl45_74
| spl45_75 ),
inference(avatar_contradiction_clause,[],[f2961]) ).
fof(f2961,plain,
( $false
| spl45_1
| ~ spl45_30
| ~ spl45_72
| spl45_74
| spl45_75 ),
inference(subsumption_resolution,[],[f2960,f1031]) ).
fof(f1031,plain,
( ordinal(sK13(sK27(sK35)))
| ~ spl45_30 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1029,plain,
( spl45_30
<=> ordinal(sK13(sK27(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_30])]) ).
fof(f2960,plain,
( ~ ordinal(sK13(sK27(sK35)))
| spl45_1
| ~ spl45_72
| spl45_74
| spl45_75 ),
inference(forward_demodulation,[],[f2959,f2934]) ).
fof(f2934,plain,
( sK13(sK27(sK35)) = sK28(sK35,sK13(sK27(sK35)))
| spl45_1
| ~ spl45_72 ),
inference(subsumption_resolution,[],[f2929,f298]) ).
fof(f2929,plain,
( sK13(sK27(sK35)) = sK28(sK35,sK13(sK27(sK35)))
| ~ ordinal(sK35)
| spl45_1
| ~ spl45_72 ),
inference(resolution,[],[f2006,f635]) ).
fof(f2006,plain,
( in(sK13(sK27(sK35)),sK27(sK35))
| ~ spl45_72 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f2005,plain,
( spl45_72
<=> in(sK13(sK27(sK35)),sK27(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_72])]) ).
fof(f2959,plain,
( ~ ordinal(sK28(sK35,sK13(sK27(sK35))))
| spl45_1
| ~ spl45_72
| spl45_74
| spl45_75 ),
inference(subsumption_resolution,[],[f2958,f2097]) ).
fof(f2097,plain,
( ~ in(sK13(sK27(sK35)),omega)
| spl45_75 ),
inference(avatar_component_clause,[],[f2096]) ).
fof(f2096,plain,
( spl45_75
<=> in(sK13(sK27(sK35)),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_75])]) ).
fof(f2958,plain,
( in(sK13(sK27(sK35)),omega)
| ~ ordinal(sK28(sK35,sK13(sK27(sK35))))
| spl45_1
| ~ spl45_72
| spl45_74 ),
inference(forward_demodulation,[],[f2957,f2934]) ).
fof(f2957,plain,
( in(sK28(sK35,sK13(sK27(sK35))),omega)
| ~ ordinal(sK28(sK35,sK13(sK27(sK35))))
| spl45_1
| ~ spl45_72
| spl45_74 ),
inference(subsumption_resolution,[],[f2956,f2006]) ).
fof(f2956,plain,
( in(sK28(sK35,sK13(sK27(sK35))),omega)
| ~ ordinal(sK28(sK35,sK13(sK27(sK35))))
| ~ in(sK13(sK27(sK35)),sK27(sK35))
| spl45_1
| ~ spl45_72
| spl45_74 ),
inference(subsumption_resolution,[],[f2955,f298]) ).
fof(f2955,plain,
( ~ ordinal(sK35)
| in(sK28(sK35,sK13(sK27(sK35))),omega)
| ~ ordinal(sK28(sK35,sK13(sK27(sK35))))
| ~ in(sK13(sK27(sK35)),sK27(sK35))
| spl45_1
| ~ spl45_72
| spl45_74 ),
inference(subsumption_resolution,[],[f2940,f2093]) ).
fof(f2093,plain,
( ~ sP1(sK13(sK27(sK35)),sK35)
| spl45_74 ),
inference(avatar_component_clause,[],[f2092]) ).
fof(f2092,plain,
( spl45_74
<=> sP1(sK13(sK27(sK35)),sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_74])]) ).
fof(f2940,plain,
( sP1(sK13(sK27(sK35)),sK35)
| ~ ordinal(sK35)
| in(sK28(sK35,sK13(sK27(sK35))),omega)
| ~ ordinal(sK28(sK35,sK13(sK27(sK35))))
| ~ in(sK13(sK27(sK35)),sK27(sK35))
| spl45_1
| ~ spl45_72 ),
inference(superposition,[],[f670,f2934]) ).
fof(f670,plain,
( ! [X0,X1] :
( sP1(sK28(X1,X0),X1)
| ~ ordinal(X1)
| in(sK28(X1,X0),omega)
| ~ ordinal(sK28(X1,X0))
| ~ in(X0,sK27(X1)) )
| spl45_1 ),
inference(resolution,[],[f667,f328]) ).
fof(f2922,plain,
( spl45_1
| ~ spl45_29
| spl45_72
| spl45_96 ),
inference(avatar_contradiction_clause,[],[f2921]) ).
fof(f2921,plain,
( $false
| spl45_1
| ~ spl45_29
| spl45_72
| spl45_96 ),
inference(subsumption_resolution,[],[f2920,f2062]) ).
fof(f2062,plain,
( sP1(sK13(sK27(sK35)),sK12)
| spl45_72 ),
inference(resolution,[],[f2007,f190]) ).
fof(f2007,plain,
( ~ in(sK13(sK27(sK35)),sK27(sK35))
| spl45_72 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f2920,plain,
( ~ sP1(sK13(sK27(sK35)),sK12)
| spl45_1
| ~ spl45_29
| spl45_96 ),
inference(resolution,[],[f2919,f176]) ).
fof(f2919,plain,
( ~ in(sK13(sK27(sK35)),succ(sK12))
| spl45_1
| ~ spl45_29
| spl45_96 ),
inference(subsumption_resolution,[],[f2918,f189]) ).
fof(f2918,plain,
( ~ in(sK13(sK27(sK35)),succ(sK12))
| ~ ordinal(sK12)
| spl45_1
| ~ spl45_29
| spl45_96 ),
inference(subsumption_resolution,[],[f2917,f1026]) ).
fof(f1026,plain,
( sP5(sK13(sK27(sK35)))
| ~ spl45_29 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1025,plain,
( spl45_29
<=> sP5(sK13(sK27(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_29])]) ).
fof(f2917,plain,
( ~ sP5(sK13(sK27(sK35)))
| ~ in(sK13(sK27(sK35)),succ(sK12))
| ~ ordinal(sK12)
| spl45_1
| spl45_96 ),
inference(resolution,[],[f2911,f673]) ).
fof(f2911,plain,
( ~ in(sK13(sK27(sK35)),sK27(sK12))
| spl45_96 ),
inference(avatar_component_clause,[],[f2909]) ).
fof(f2909,plain,
( spl45_96
<=> in(sK13(sK27(sK35)),sK27(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_96])]) ).
fof(f2916,plain,
( ~ spl45_96
| ~ spl45_97
| spl45_1
| ~ spl45_29
| spl45_72 ),
inference(avatar_split_clause,[],[f2873,f2005,f1025,f338,f2913,f2909]) ).
fof(f2913,plain,
( spl45_97
<=> in(succ(sK12),sK13(sK27(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_97])]) ).
fof(f2873,plain,
( ~ in(succ(sK12),sK13(sK27(sK35)))
| ~ in(sK13(sK27(sK35)),sK27(sK12))
| spl45_1
| ~ spl45_29
| spl45_72 ),
inference(subsumption_resolution,[],[f2867,f189]) ).
fof(f2867,plain,
( ~ in(succ(sK12),sK13(sK27(sK35)))
| ~ ordinal(sK12)
| ~ in(sK13(sK27(sK35)),sK27(sK12))
| spl45_1
| ~ spl45_29
| spl45_72 ),
inference(superposition,[],[f672,f2788]) ).
fof(f2788,plain,
( sK13(sK27(sK35)) = sK28(sK12,sK13(sK27(sK35)))
| spl45_1
| ~ spl45_29
| spl45_72 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f468,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f1026,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f428,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f2073,f2076,f2066,f2068,f2069,f2070,f2071,f569,f2102,f1769,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f1763,f647,f2632,f2631,f2619,f2620,f2621,f2622,f2623,f2624,f2625,f2626,f2627,f2628,f2638,f1680,f1040,f1039,f1038,f1037,f1764,f2062,f2674,f2675,f2679,f2677,f2678,f652,f2700,f2705,f2687,f2688,f2689,f2690,f2691,f2692,f2693,f2694,f2695,f2696,f2699,f2063,f2706,f2707,f2067,f2708,f2709,f2710,f2711,f2712,f2007,f2716,f2720,f2721,f2722,f2723,f670,f2725,f2734,f2727,f2728,f2717]) ).
fof(f2717,plain,
( ~ sP5(sK13(sK27(sK35)))
| sK13(sK27(sK35)) = sK28(sK12,sK13(sK27(sK35)))
| spl45_1
| spl45_72 ),
inference(resolution,[],[f2007,f704]) ).
fof(f2728,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| in(sK28(X0,X1),omega)
| ~ ordinal(sK28(X0,X1))
| ~ in(X1,sK27(X0))
| ordinal(sK9(sK28(X0,X1))) )
| spl45_1 ),
inference(resolution,[],[f670,f177]) ).
fof(f2727,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| in(sK28(X0,X1),omega)
| ~ ordinal(sK28(X0,X1))
| ~ in(X1,sK27(X0))
| sK28(X0,X1) = sK9(sK28(X0,X1)) )
| spl45_1 ),
inference(resolution,[],[f670,f178]) ).
fof(f2734,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| in(sK28(X0,X1),omega)
| ~ ordinal(sK28(X0,X1))
| ~ in(X1,sK27(X0))
| sK28(X0,X1) = sK28(X0,sK28(X0,X1)) )
| spl45_1 ),
inference(subsumption_resolution,[],[f2733,f332]) ).
fof(f2733,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| in(sK28(X0,X1),omega)
| ~ ordinal(sK28(X0,X1))
| ~ in(X1,sK27(X0))
| sK28(X0,X1) = sK28(X0,sK28(X0,X1))
| ~ sP5(sK28(X0,X1)) )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f2726]) ).
fof(f2726,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| in(sK28(X0,X1),omega)
| ~ ordinal(sK28(X0,X1))
| ~ in(X1,sK27(X0))
| ~ ordinal(X0)
| sK28(X0,X1) = sK28(X0,sK28(X0,X1))
| ~ sP5(sK28(X0,X1)) )
| spl45_1 ),
inference(resolution,[],[f670,f691]) ).
fof(f2725,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| in(sK28(X0,X1),omega)
| ~ ordinal(sK28(X0,X1))
| ~ in(X1,sK27(X0))
| sP0(sK19(sK9(sK28(X0,X1))))
| sP5(sK9(sK28(X0,X1))) )
| spl45_1 ),
inference(resolution,[],[f670,f724]) ).
fof(f2723,plain,
( sK9(sK13(sK27(sK35))) = sK20(sK9(sK13(sK27(sK35))))
| spl45_72 ),
inference(resolution,[],[f2007,f1210]) ).
fof(f2722,plain,
( sK20(sK9(sK13(sK27(sK35)))) = sK20(sK20(sK9(sK13(sK27(sK35)))))
| spl45_72 ),
inference(resolution,[],[f2007,f1209]) ).
fof(f2721,plain,
( sK20(sK20(sK9(sK13(sK27(sK35))))) = sK20(sK20(sK20(sK9(sK13(sK27(sK35))))))
| spl45_72 ),
inference(resolution,[],[f2007,f1208]) ).
fof(f2720,plain,
( sK20(sK20(sK20(sK9(sK13(sK27(sK35)))))) = sK20(sK20(sK20(sK20(sK9(sK13(sK27(sK35)))))))
| spl45_72 ),
inference(resolution,[],[f2007,f1207]) ).
fof(f2716,plain,
( sK13(sK27(sK35)) = sK9(sK13(sK27(sK35)))
| spl45_72 ),
inference(resolution,[],[f2007,f370]) ).
fof(f2712,plain,
( sK9(sK13(sK27(sK35))) = sK20(sK9(sK13(sK27(sK35))))
| spl45_72 ),
inference(resolution,[],[f2067,f233]) ).
fof(f2711,plain,
( sK20(sK9(sK13(sK27(sK35)))) = sK20(sK20(sK9(sK13(sK27(sK35)))))
| spl45_72 ),
inference(resolution,[],[f2067,f573]) ).
fof(f2710,plain,
( sK20(sK20(sK9(sK13(sK27(sK35))))) = sK20(sK20(sK20(sK9(sK13(sK27(sK35))))))
| spl45_72 ),
inference(resolution,[],[f2067,f625]) ).
fof(f2709,plain,
( sK20(sK20(sK20(sK9(sK13(sK27(sK35)))))) = sK20(sK20(sK20(sK20(sK9(sK13(sK27(sK35)))))))
| spl45_72 ),
inference(resolution,[],[f2067,f639]) ).
fof(f2708,plain,
( sK20(sK20(sK20(sK20(sK9(sK13(sK27(sK35))))))) = sK20(sK20(sK20(sK20(sK20(sK9(sK13(sK27(sK35))))))))
| spl45_72 ),
inference(resolution,[],[f2067,f658]) ).
fof(f2067,plain,
( sP5(sK9(sK13(sK27(sK35))))
| spl45_72 ),
inference(resolution,[],[f2007,f1121]) ).
fof(f2707,plain,
( sK13(sK27(sK9(sK13(sK27(sK35))))) = sK9(sK13(sK27(sK9(sK13(sK27(sK35))))))
| sK13(sK27(sK9(sK13(sK27(sK35))))) = sK20(sK13(sK27(sK9(sK13(sK27(sK35))))))
| spl45_1
| spl45_72 ),
inference(resolution,[],[f2063,f646]) ).
fof(f2706,plain,
( sK13(sK27(sK9(sK13(sK27(sK35))))) = sK28(sK9(sK13(sK27(sK35))),sK13(sK27(sK9(sK13(sK27(sK35))))))
| sK13(sK27(sK9(sK13(sK27(sK35))))) = sK9(sK13(sK27(sK9(sK13(sK27(sK35))))))
| spl45_1
| spl45_72 ),
inference(resolution,[],[f2063,f649]) ).
fof(f2063,plain,
( ordinal(sK9(sK13(sK27(sK35))))
| spl45_72 ),
inference(resolution,[],[f2007,f365]) ).
fof(f2699,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK21(sK27(X0),X1)) = sK28(X0,sK21(sK27(X0),sK21(sK27(X0),X1)))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f2697]) ).
fof(f2697,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK21(sK27(X0),X1)) = sK28(X0,sK21(sK27(X0),sK21(sK27(X0),X1)))
| sP4(sK27(X0))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f652,f241]) ).
fof(f2696,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK21(sK27(X0),sK13(sK27(X0))))
| sK9(sK13(sK27(X0))) = sK20(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f652,f1210]) ).
fof(f2695,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK21(sK27(X0),sK13(sK27(X0))))
| sK20(sK9(sK13(sK27(X0)))) = sK20(sK20(sK9(sK13(sK27(X0))))) )
| spl45_1 ),
inference(resolution,[],[f652,f1209]) ).
fof(f2694,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK21(sK27(X0),sK13(sK27(X0))))
| sK20(sK20(sK9(sK13(sK27(X0))))) = sK20(sK20(sK20(sK9(sK13(sK27(X0)))))) )
| spl45_1 ),
inference(resolution,[],[f652,f1208]) ).
fof(f2693,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK21(sK27(X0),sK13(sK27(X0))))
| sK20(sK20(sK20(sK9(sK13(sK27(X0)))))) = sK20(sK20(sK20(sK20(sK9(sK13(sK27(X0))))))) )
| spl45_1 ),
inference(resolution,[],[f652,f1207]) ).
fof(f2692,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK21(sK27(X0),sK13(sK27(X0))))
| sP5(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f652,f1121]) ).
fof(f2691,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK21(sK27(X0),sK13(sK27(X0))))
| sP0(sK19(sK9(sK13(sK27(X0)))))
| sP5(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f652,f728]) ).
fof(f2690,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK21(sK27(X0),sK13(sK27(X0))))
| ~ sP5(sK13(sK27(X0)))
| sK13(sK27(X0)) = sK28(sK12,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f652,f704]) ).
fof(f2689,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK21(sK27(X0),sK13(sK27(X0))))
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f652,f370]) ).
fof(f2688,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK21(sK27(X0),sK13(sK27(X0))))
| ordinal(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f652,f365]) ).
fof(f2687,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK21(sK27(X0),sK13(sK27(X0))))
| sP1(sK13(sK27(X0)),sK12) )
| spl45_1 ),
inference(resolution,[],[f652,f190]) ).
fof(f2705,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK10(sK27(X0),X1)) = sK28(X0,sK21(sK27(X0),sK10(sK27(X0),X1)))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(subsumption_resolution,[],[f2685,f1110]) ).
fof(f2685,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),sK10(sK27(X0),X1)) = sK28(X0,sK21(sK27(X0),sK10(sK27(X0),X1)))
| sP0(sK27(X0))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f652,f186]) ).
fof(f2700,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),X1) = sK28(X0,sK21(sK27(X0),X1))
| ~ sP5(X1)
| ~ in(X1,succ(X0)) )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f2680]) ).
fof(f2680,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),X1) = sK28(X0,sK21(sK27(X0),X1))
| ~ sP5(X1)
| ~ in(X1,succ(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f652,f673]) ).
fof(f652,plain,
( ! [X0,X1] :
( ~ in(X1,sK27(X0))
| ~ ordinal(X0)
| sP4(sK27(X0))
| sK21(sK27(X0),X1) = sK28(X0,sK21(sK27(X0),X1)) )
| spl45_1 ),
inference(resolution,[],[f635,f241]) ).
fof(f2678,plain,
( ordinal(sK9(sK13(sK27(sK35))))
| spl45_72 ),
inference(resolution,[],[f2062,f177]) ).
fof(f2677,plain,
( sK13(sK27(sK35)) = sK9(sK13(sK27(sK35)))
| spl45_72 ),
inference(resolution,[],[f2062,f178]) ).
fof(f2679,plain,
( sP5(sK9(sK13(sK27(sK35))))
| spl45_72 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f386,f186,f187,f188,f241,f242,f243,f331,f410,f412,f414,f415,f416,f325,f427,f432,f435,f328,f437,f442,f445,f409,f185,f240,f326,f463,f468,f471,f327,f513,f514,f521,f519,f520,f434,f444,f523,f470,f234,f567,f333,f252,f253,f254,f231,f229,f227,f230,f573,f625,f636,f639,f654,f179,f724,f728,f740,f741,f742,f743,f731,f571,f246,f794,f795,f789,f790,f793,f796,f250,f858,f859,f852,f853,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f857,f451,f1062,f1063,f452,f1106,f1107,f1110,f1111,f455,f1196,f1197,f1200,f1121,f1214,f1215,f1216,f1217,f1212,f456,f1226,f1227,f1210,f1245,f1246,f1247,f1248,f1243,f1209,f1291,f1292,f1293,f1294,f1289,f431,f441,f1490,f1493,f1489,f467,f428,f1208,f1582,f1583,f1584,f1585,f1580,f1009,f433,f1207,f1645,f1646,f1647,f1648,f1643,f438,f1661,f1663,f1664,f623,f658,f1666,f1668,f1686,f522,f1734,f1735,f1736,f443,f1786,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f2066,f2068,f2069,f2070,f2071,f569,f2102,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f2067,f2063,f2007,f2062,f2674,f2675]) ).
fof(f2675,plain,
( sP0(sK19(sK9(sK13(sK27(sK35)))))
| sP5(sK9(sK13(sK27(sK35))))
| spl45_72 ),
inference(resolution,[],[f2062,f724]) ).
fof(f2674,plain,
( ~ in(sK13(sK27(sK35)),sK27(sK35))
| spl45_72 ),
inference(resolution,[],[f2062,f191]) ).
fof(f1764,plain,
( sK13(sK27(sK35)) = sK28(sK35,sK13(sK27(sK35)))
| sK13(sK27(sK35)) = sK9(sK13(sK27(sK35)))
| spl45_1 ),
inference(resolution,[],[f649,f298]) ).
fof(f1037,plain,
( sK20(sK20(sK20(sK13(sK27(sK35))))) = sK20(sK20(sK20(sK20(sK13(sK27(sK35))))))
| ~ spl45_29 ),
inference(resolution,[],[f1026,f639]) ).
fof(f1038,plain,
( sK20(sK20(sK13(sK27(sK35)))) = sK20(sK20(sK20(sK13(sK27(sK35)))))
| ~ spl45_29 ),
inference(resolution,[],[f1026,f625]) ).
fof(f1039,plain,
( sK20(sK13(sK27(sK35))) = sK20(sK20(sK13(sK27(sK35))))
| ~ spl45_29 ),
inference(resolution,[],[f1026,f573]) ).
fof(f1040,plain,
( sK13(sK27(sK35)) = sK20(sK13(sK27(sK35)))
| ~ spl45_29 ),
inference(resolution,[],[f1026,f233]) ).
fof(f1680,plain,
( sK20(sK20(sK20(sK20(sK13(sK27(sK35)))))) = sK20(sK20(sK20(sK20(sK20(sK13(sK27(sK35)))))))
| ~ spl45_29 ),
inference(resolution,[],[f658,f1026]) ).
fof(f2638,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sK10(sK27(X0),sK21(sK27(X0),X1)) = sK28(X0,sK10(sK27(X0),sK21(sK27(X0),X1)))
| sP4(sK27(X0))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(subsumption_resolution,[],[f2629,f1110]) ).
fof(f2629,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK21(sK27(X0),X1)) = sK28(X0,sK10(sK27(X0),sK21(sK27(X0),X1)))
| sP4(sK27(X0))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f647,f241]) ).
fof(f2628,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK10(sK27(X0),sK13(sK27(X0))))
| sK9(sK13(sK27(X0))) = sK20(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f647,f1210]) ).
fof(f2627,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK10(sK27(X0),sK13(sK27(X0))))
| sK20(sK9(sK13(sK27(X0)))) = sK20(sK20(sK9(sK13(sK27(X0))))) )
| spl45_1 ),
inference(resolution,[],[f647,f1209]) ).
fof(f2626,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK10(sK27(X0),sK13(sK27(X0))))
| sK20(sK20(sK9(sK13(sK27(X0))))) = sK20(sK20(sK20(sK9(sK13(sK27(X0)))))) )
| spl45_1 ),
inference(resolution,[],[f647,f1208]) ).
fof(f2625,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK10(sK27(X0),sK13(sK27(X0))))
| sK20(sK20(sK20(sK9(sK13(sK27(X0)))))) = sK20(sK20(sK20(sK20(sK9(sK13(sK27(X0))))))) )
| spl45_1 ),
inference(resolution,[],[f647,f1207]) ).
fof(f2624,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK10(sK27(X0),sK13(sK27(X0))))
| sP5(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f647,f1121]) ).
fof(f2623,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK10(sK27(X0),sK13(sK27(X0))))
| sP0(sK19(sK9(sK13(sK27(X0)))))
| sP5(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f647,f728]) ).
fof(f2622,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK10(sK27(X0),sK13(sK27(X0))))
| ~ sP5(sK13(sK27(X0)))
| sK13(sK27(X0)) = sK28(sK12,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f647,f704]) ).
fof(f2621,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK10(sK27(X0),sK13(sK27(X0))))
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f647,f370]) ).
fof(f2620,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK10(sK27(X0),sK13(sK27(X0))))
| ordinal(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f647,f365]) ).
fof(f2619,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK13(sK27(X0))) = sK28(X0,sK10(sK27(X0),sK13(sK27(X0))))
| sP1(sK13(sK27(X0)),sK12) )
| spl45_1 ),
inference(resolution,[],[f647,f190]) ).
fof(f2631,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK10(sK27(X0),X1)) = sK28(X0,sK10(sK27(X0),sK10(sK27(X0),X1)))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f2617]) ).
fof(f2617,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),sK10(sK27(X0),X1)) = sK28(X0,sK10(sK27(X0),sK10(sK27(X0),X1)))
| sP0(sK27(X0))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f647,f186]) ).
fof(f2632,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),X1) = sK28(X0,sK10(sK27(X0),X1))
| ~ sP5(X1)
| ~ in(X1,succ(X0)) )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f2611]) ).
fof(f2611,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),X1) = sK28(X0,sK10(sK27(X0),X1))
| ~ sP5(X1)
| ~ in(X1,succ(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f647,f673]) ).
fof(f647,plain,
( ! [X0,X1] :
( ~ in(X1,sK27(X0))
| ~ ordinal(X0)
| sP0(sK27(X0))
| sK10(sK27(X0),X1) = sK28(X0,sK10(sK27(X0),X1)) )
| spl45_1 ),
inference(resolution,[],[f635,f186]) ).
fof(f1763,plain,
( sK13(sK27(sK32)) = sK28(sK32,sK13(sK27(sK32)))
| sK13(sK27(sK32)) = sK9(sK13(sK27(sK32)))
| spl45_1 ),
inference(resolution,[],[f649,f349]) ).
fof(f1769,plain,
( sK13(sK27(sK44)) = sK28(sK44,sK13(sK27(sK44)))
| sK13(sK27(sK44)) = sK9(sK13(sK27(sK44)))
| spl45_1 ),
inference(resolution,[],[f649,f324]) ).
fof(f2071,plain,
( sK9(sK13(sK27(sK35))) = sK20(sK9(sK13(sK27(sK35))))
| spl45_72 ),
inference(resolution,[],[f2007,f1210]) ).
fof(f2070,plain,
( sK20(sK9(sK13(sK27(sK35)))) = sK20(sK20(sK9(sK13(sK27(sK35)))))
| spl45_72 ),
inference(resolution,[],[f2007,f1209]) ).
fof(f2069,plain,
( sK20(sK20(sK9(sK13(sK27(sK35))))) = sK20(sK20(sK20(sK9(sK13(sK27(sK35))))))
| spl45_72 ),
inference(resolution,[],[f2007,f1208]) ).
fof(f2068,plain,
( sK20(sK20(sK20(sK9(sK13(sK27(sK35)))))) = sK20(sK20(sK20(sK20(sK9(sK13(sK27(sK35)))))))
| spl45_72 ),
inference(resolution,[],[f2007,f1207]) ).
fof(f2066,plain,
( sP0(sK19(sK9(sK13(sK27(sK35)))))
| sP5(sK9(sK13(sK27(sK35))))
| spl45_72 ),
inference(resolution,[],[f2007,f728]) ).
fof(f2076,plain,
( sK13(sK27(sK35)) = sK28(sK12,sK13(sK27(sK35)))
| spl45_1
| ~ spl45_29
| spl45_72 ),
inference(subsumption_resolution,[],[f2065,f1026]) ).
fof(f2065,plain,
( ~ sP5(sK13(sK27(sK35)))
| sK13(sK27(sK35)) = sK28(sK12,sK13(sK27(sK35)))
| spl45_1
| spl45_72 ),
inference(resolution,[],[f2007,f704]) ).
fof(f2073,plain,
( ~ in(sK13(sK27(sK35)),succ(sK35))
| spl45_1
| ~ spl45_29
| spl45_72 ),
inference(subsumption_resolution,[],[f2072,f298]) ).
fof(f2072,plain,
( ~ in(sK13(sK27(sK35)),succ(sK35))
| ~ ordinal(sK35)
| spl45_1
| ~ spl45_29
| spl45_72 ),
inference(subsumption_resolution,[],[f2061,f1026]) ).
fof(f2061,plain,
( ~ sP5(sK13(sK27(sK35)))
| ~ in(sK13(sK27(sK35)),succ(sK35))
| ~ ordinal(sK35)
| spl45_1
| spl45_72 ),
inference(resolution,[],[f2007,f673]) ).
fof(f1790,plain,
( ! [X0] :
( ~ ordinal(sK22(succ(X0)))
| in(sK22(succ(X0)),omega)
| ~ sP4(succ(X0))
| ~ ordinal(X0)
| sK22(succ(X0)) = sK28(X0,sK22(succ(X0))) )
| spl45_1 ),
inference(subsumption_resolution,[],[f1787,f332]) ).
fof(f1787,plain,
( ! [X0] :
( ~ ordinal(sK22(succ(X0)))
| in(sK22(succ(X0)),omega)
| ~ sP4(succ(X0))
| ~ ordinal(X0)
| sK22(succ(X0)) = sK28(X0,sK22(succ(X0)))
| ~ sP5(sK22(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f443,f691]) ).
fof(f1762,plain,
( ! [X0] :
( sK13(sK27(sK30(X0))) = sK28(sK30(X0),sK13(sK27(sK30(X0))))
| sK13(sK27(sK30(X0))) = sK9(sK13(sK27(sK30(X0)))) )
| spl45_1 ),
inference(resolution,[],[f649,f284]) ).
fof(f1761,plain,
( ! [X0] :
( sK13(sK27(sK29(X0))) = sK28(sK29(X0),sK13(sK27(sK29(X0))))
| sK13(sK27(sK29(X0))) = sK9(sK13(sK27(sK29(X0)))) )
| spl45_1 ),
inference(resolution,[],[f649,f347]) ).
fof(f1760,plain,
( ! [X0] :
( sK13(sK27(sK25(X0))) = sK28(sK25(X0),sK13(sK27(sK25(X0))))
| sK13(sK27(sK25(X0))) = sK9(sK13(sK27(sK25(X0))))
| ~ sP2(X0) )
| spl45_1 ),
inference(resolution,[],[f649,f248]) ).
fof(f1759,plain,
( ! [X0] :
( sK13(sK27(sK23(X0))) = sK28(sK23(X0),sK13(sK27(sK23(X0))))
| sK13(sK27(sK23(X0))) = sK9(sK13(sK27(sK23(X0))))
| ~ sP3(X0) )
| spl45_1 ),
inference(resolution,[],[f649,f244]) ).
fof(f1758,plain,
( ! [X0] :
( sK13(sK27(sK20(X0))) = sK28(sK20(X0),sK13(sK27(sK20(X0))))
| sK13(sK27(sK20(X0))) = sK9(sK13(sK27(sK20(X0))))
| ~ sP5(X0) )
| spl45_1 ),
inference(resolution,[],[f649,f232]) ).
fof(f1757,plain,
( ! [X0] :
( sK13(sK27(sK15(X0))) = sK28(sK15(X0),sK13(sK27(sK15(X0))))
| sK13(sK27(sK15(X0))) = sK9(sK13(sK27(sK15(X0))))
| ~ ordinal(powerset(X0))
| empty(X0) )
| spl45_1 ),
inference(resolution,[],[f649,f381]) ).
fof(f1756,plain,
( ! [X0] :
( sK13(sK27(sK14(X0))) = sK28(sK14(X0),sK13(sK27(sK14(X0))))
| sK13(sK27(sK14(X0))) = sK9(sK13(sK27(sK14(X0))))
| ~ ordinal(powerset(X0))
| empty(X0) )
| spl45_1 ),
inference(resolution,[],[f649,f380]) ).
fof(f1744,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(sK27(X0))))) = sK28(sK9(sK13(sK27(X0))),sK13(sK27(sK9(sK13(sK27(X0))))))
| sK13(sK27(sK9(sK13(sK27(X0))))) = sK9(sK13(sK27(sK9(sK13(sK27(X0))))))
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f649,f616]) ).
fof(f1743,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(sK27(X0))))) = sK28(sK9(sK13(sK27(X0))),sK13(sK27(sK9(sK13(sK27(X0))))))
| sK13(sK27(sK9(sK13(sK27(X0))))) = sK9(sK13(sK27(sK9(sK13(sK27(X0))))))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f649,f650]) ).
fof(f1742,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(succ(X0))))) = sK28(sK9(sK13(succ(X0))),sK13(sK27(sK9(sK13(succ(X0))))))
| sK13(sK27(sK9(sK13(succ(X0))))) = sK9(sK13(sK27(sK9(sK13(succ(X0))))))
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega) )
| spl45_1 ),
inference(resolution,[],[f649,f445]) ).
fof(f1741,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(X0)))) = sK28(sK9(sK13(X0)),sK13(sK27(sK9(sK13(X0)))))
| sK13(sK27(sK9(sK13(X0)))) = sK9(sK13(sK27(sK9(sK13(X0)))))
| in(sK13(X0),X0) )
| spl45_1 ),
inference(resolution,[],[f649,f365]) ).
fof(f1738,plain,
( ! [X0] :
( sK13(sK27(succ(X0))) = sK28(succ(X0),sK13(sK27(succ(X0))))
| sK13(sK27(succ(X0))) = sK9(sK13(sK27(succ(X0))))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f649,f226]) ).
fof(f1737,plain,
( ! [X0] :
( sK13(sK27(succ(X0))) = sK28(succ(X0),sK13(sK27(succ(X0))))
| sK13(sK27(succ(X0))) = sK9(sK13(sK27(succ(X0))))
| ~ sP7(X0) )
| spl45_1 ),
inference(resolution,[],[f649,f273]) ).
fof(f1689,plain,
( ! [X0] :
( sK20(sK20(sK20(sK20(sK27(X0))))) = sK20(sK20(sK20(sK20(sK20(sK27(X0))))))
| ~ ordinal(sK27(X0))
| ~ ordinal(X0)
| ~ sP1(omega,X0) )
| spl45_1 ),
inference(resolution,[],[f658,f686]) ).
fof(f1688,plain,
( ! [X0] :
( sK20(sK20(sK20(sK20(sK22(sK27(X0)))))) = sK20(sK20(sK20(sK20(sK20(sK22(sK27(X0)))))))
| ~ ordinal(X0)
| ~ sP4(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f658,f619]) ).
fof(f1687,plain,
( ! [X0,X1] :
( sK20(sK20(sK20(sK20(sK21(sK27(X0),X1))))) = sK20(sK20(sK20(sK20(sK20(sK21(sK27(X0),X1))))))
| ~ ordinal(X0)
| sP4(sK27(X0))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f658,f618]) ).
fof(f1675,plain,
( ! [X0] :
( sK20(sK20(sK20(sK20(sK13(sK27(X0)))))) = sK20(sK20(sK20(sK20(sK20(sK13(sK27(X0)))))))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f658,f615]) ).
fof(f1674,plain,
( ! [X0] :
( sK20(sK20(sK20(sK20(sK13(sK27(X0)))))) = sK20(sK20(sK20(sK20(sK20(sK13(sK27(X0)))))))
| ~ ordinal(X0)
| sK9(sK13(sK27(X0))) = sK20(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f658,f1235]) ).
fof(f1673,plain,
( ! [X0] :
( sK20(sK20(sK20(sK20(sK13(sK27(X0)))))) = sK20(sK20(sK20(sK20(sK20(sK13(sK27(X0)))))))
| ~ ordinal(X0)
| sK20(sK9(sK13(sK27(X0)))) = sK20(sK20(sK9(sK13(sK27(X0))))) )
| spl45_1 ),
inference(resolution,[],[f658,f1234]) ).
fof(f1672,plain,
( ! [X0] :
( sK20(sK20(sK20(sK20(sK11(sK27(X0)))))) = sK20(sK20(sK20(sK20(sK20(sK11(sK27(X0)))))))
| ~ ordinal(X0)
| ~ sP0(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f658,f614]) ).
fof(f1671,plain,
( ! [X0,X1] :
( sK20(sK20(sK20(sK20(sK10(sK27(X0),X1))))) = sK20(sK20(sK20(sK20(sK20(sK10(sK27(X0),X1))))))
| ~ ordinal(X0)
| sP0(sK27(X0))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f658,f613]) ).
fof(f1670,plain,
( ! [X0] :
( sK20(sK20(sK20(sK20(sK9(sK13(sK27(X0))))))) = sK20(sK20(sK20(sK20(sK20(sK9(sK13(sK27(X0))))))))
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f658,f1122]) ).
fof(f1669,plain,
( ! [X0] :
( sK20(sK20(sK20(sK20(sK9(sK13(sK27(X0))))))) = sK20(sK20(sK20(sK20(sK20(sK9(sK13(sK27(X0))))))))
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f658,f1218]) ).
fof(f690,plain,
( ! [X0] :
( ~ sP1(omega,X0)
| ~ ordinal(X0)
| ~ ordinal(sK27(X0))
| sK27(X0) = sK20(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f686,f233]) ).
fof(f1390,plain,
( ! [X0] :
( ~ sP0(sK27(X0))
| sK22(sK27(X0)) = sK28(X0,sK22(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f653,f1110]) ).
fof(f1660,plain,
( ! [X0,X1] :
( ~ sP1(sK27(X1),X0)
| ~ ordinal(X1)
| ~ sP5(succ(X0))
| ~ sP1(succ(X0),X1) )
| spl45_1 ),
inference(resolution,[],[f677,f176]) ).
fof(f1665,plain,
( ! [X0] :
( ~ ordinal(sK11(succ(X0)))
| in(sK11(succ(X0)),omega)
| ~ sP0(succ(X0))
| ~ ordinal(X0)
| sK11(succ(X0)) = sK28(X0,sK11(succ(X0))) )
| spl45_1 ),
inference(subsumption_resolution,[],[f1662,f332]) ).
fof(f1662,plain,
( ! [X0] :
( ~ ordinal(sK11(succ(X0)))
| in(sK11(succ(X0)),omega)
| ~ sP0(succ(X0))
| ~ ordinal(X0)
| sK11(succ(X0)) = sK28(X0,sK11(succ(X0)))
| ~ sP5(sK11(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f438,f691]) ).
fof(f677,plain,
( ! [X0,X1] :
( ~ in(succ(X0),succ(X1))
| ~ sP5(succ(X0))
| ~ ordinal(X1)
| ~ sP1(sK27(X1),X0) )
| spl45_1 ),
inference(resolution,[],[f673,f369]) ).
fof(f1659,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK20(sK9(sK13(sK27(X0)))) = sK20(sK20(sK9(sK13(sK27(X0)))))
| sK13(sK27(X0)) = sK20(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f1234,f233]) ).
fof(f1658,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK20(sK9(sK13(sK27(X0)))) = sK20(sK20(sK9(sK13(sK27(X0)))))
| sK20(sK13(sK27(X0))) = sK20(sK20(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f1234,f573]) ).
fof(f1657,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK20(sK9(sK13(sK27(X0)))) = sK20(sK20(sK9(sK13(sK27(X0)))))
| sK20(sK20(sK13(sK27(X0)))) = sK20(sK20(sK20(sK13(sK27(X0))))) )
| spl45_1 ),
inference(resolution,[],[f1234,f625]) ).
fof(f1656,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK20(sK9(sK13(sK27(X0)))) = sK20(sK20(sK9(sK13(sK27(X0)))))
| sK20(sK20(sK20(sK13(sK27(X0))))) = sK20(sK20(sK20(sK20(sK13(sK27(X0)))))) )
| spl45_1 ),
inference(resolution,[],[f1234,f639]) ).
fof(f1234,plain,
( ! [X0] :
( sP5(sK13(sK27(X0)))
| ~ ordinal(X0)
| sK20(sK9(sK13(sK27(X0)))) = sK20(sK20(sK9(sK13(sK27(X0))))) )
| spl45_1 ),
inference(resolution,[],[f1122,f573]) ).
fof(f1650,plain,
( ! [X0] :
( sK20(sK20(sK20(sK9(sK13(sK27(X0)))))) = sK20(sK20(sK20(sK20(sK9(sK13(sK27(X0)))))))
| sP5(sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f1207,f610]) ).
fof(f1649,plain,
( ! [X0] :
( sK20(sK20(sK20(sK9(sK13(sK27(X0)))))) = sK20(sK20(sK20(sK20(sK9(sK13(sK27(X0)))))))
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f1207,f635]) ).
fof(f1644,plain,
( ! [X0] :
( sK20(sK20(sK20(sK9(sK13(succ(X0)))))) = sK20(sK20(sK20(sK20(sK9(sK13(succ(X0)))))))
| ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f1207,f680]) ).
fof(f1112,plain,
( ! [X0] :
( ~ sP0(sK27(X0))
| ~ ordinal(X0)
| sK22(sK27(X0)) = sK20(sK22(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f1110,f634]) ).
fof(f1605,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK9(sK13(sK27(X0))) = sK20(sK9(sK13(sK27(X0))))
| sK13(sK27(X0)) = sK20(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f1235,f233]) ).
fof(f1604,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK9(sK13(sK27(X0))) = sK20(sK9(sK13(sK27(X0))))
| sK20(sK13(sK27(X0))) = sK20(sK20(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f1235,f573]) ).
fof(f1603,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK9(sK13(sK27(X0))) = sK20(sK9(sK13(sK27(X0))))
| sK20(sK20(sK13(sK27(X0)))) = sK20(sK20(sK20(sK13(sK27(X0))))) )
| spl45_1 ),
inference(resolution,[],[f1235,f625]) ).
fof(f1602,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK9(sK13(sK27(X0))) = sK20(sK9(sK13(sK27(X0))))
| sK20(sK20(sK20(sK13(sK27(X0))))) = sK20(sK20(sK20(sK20(sK13(sK27(X0)))))) )
| spl45_1 ),
inference(resolution,[],[f1235,f639]) ).
fof(f1235,plain,
( ! [X0] :
( sP5(sK13(sK27(X0)))
| ~ ordinal(X0)
| sK9(sK13(sK27(X0))) = sK20(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f1122,f233]) ).
fof(f1594,plain,
( ! [X0] :
( sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0)
| sK9(sK13(sK27(X0))) = sK20(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f1218,f233]) ).
fof(f1593,plain,
( ! [X0] :
( sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0)
| sK20(sK9(sK13(sK27(X0)))) = sK20(sK20(sK9(sK13(sK27(X0))))) )
| spl45_1 ),
inference(resolution,[],[f1218,f573]) ).
fof(f1592,plain,
( ! [X0] :
( sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0)
| sK20(sK20(sK9(sK13(sK27(X0))))) = sK20(sK20(sK20(sK9(sK13(sK27(X0)))))) )
| spl45_1 ),
inference(resolution,[],[f1218,f625]) ).
fof(f1591,plain,
( ! [X0] :
( sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0)
| sK20(sK20(sK20(sK9(sK13(sK27(X0)))))) = sK20(sK20(sK20(sK20(sK9(sK13(sK27(X0))))))) )
| spl45_1 ),
inference(resolution,[],[f1218,f639]) ).
fof(f1218,plain,
( ! [X0] :
( sP5(sK9(sK13(sK27(X0))))
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f1121,f635]) ).
fof(f1587,plain,
( ! [X0] :
( sK20(sK20(sK9(sK13(sK27(X0))))) = sK20(sK20(sK20(sK9(sK13(sK27(X0))))))
| sP5(sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f1208,f610]) ).
fof(f1586,plain,
( ! [X0] :
( sK20(sK20(sK9(sK13(sK27(X0))))) = sK20(sK20(sK20(sK9(sK13(sK27(X0))))))
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f1208,f635]) ).
fof(f1581,plain,
( ! [X0] :
( sK20(sK20(sK9(sK13(succ(X0))))) = sK20(sK20(sK20(sK9(sK13(succ(X0))))))
| ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f1208,f680]) ).
fof(f822,plain,
( sK13(sK27(sK44)) = sK9(sK13(sK27(sK44)))
| sK13(sK27(sK44)) = sK20(sK13(sK27(sK44)))
| spl45_1 ),
inference(resolution,[],[f646,f324]) ).
fof(f1494,plain,
( ! [X0] :
( sP1(sK13(succ(X0)),sK12)
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0))) )
| spl45_1 ),
inference(subsumption_resolution,[],[f1486,f332]) ).
fof(f1486,plain,
( ! [X0] :
( sP1(sK13(succ(X0)),sK12)
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0)))
| ~ sP5(sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f441,f691]) ).
fof(f1492,plain,
( ! [X0] :
( sP1(sK13(succ(X0)),X0)
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0))) )
| spl45_1 ),
inference(subsumption_resolution,[],[f1491,f332]) ).
fof(f1491,plain,
( ! [X0] :
( sP1(sK13(succ(X0)),X0)
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| ~ sP5(sK13(succ(X0))) )
| spl45_1 ),
inference(subsumption_resolution,[],[f1481,f189]) ).
fof(f1481,plain,
( ! [X0] :
( sP1(sK13(succ(X0)),X0)
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK12)
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| ~ sP5(sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f441,f691]) ).
fof(f821,plain,
( sK13(sK27(sK43)) = sK9(sK13(sK27(sK43)))
| sK13(sK27(sK43)) = sK20(sK13(sK27(sK43)))
| spl45_1 ),
inference(resolution,[],[f646,f352]) ).
fof(f653,plain,
( ! [X0] :
( ~ sP4(sK27(X0))
| ~ ordinal(X0)
| sK22(sK27(X0)) = sK28(X0,sK22(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f635,f239]) ).
fof(f820,plain,
( sK13(sK27(sK42)) = sK9(sK13(sK27(sK42)))
| sK13(sK27(sK42)) = sK20(sK13(sK27(sK42)))
| spl45_1 ),
inference(resolution,[],[f646,f318]) ).
fof(f648,plain,
( ! [X0] :
( ~ sP0(sK27(X0))
| ~ ordinal(X0)
| sK11(sK27(X0)) = sK28(X0,sK11(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f635,f184]) ).
fof(f819,plain,
( sK13(sK27(sK37)) = sK9(sK13(sK27(sK37)))
| sK13(sK27(sK37)) = sK20(sK13(sK27(sK37)))
| spl45_1 ),
inference(resolution,[],[f646,f350]) ).
fof(f1305,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| ~ in(X1,sK27(X0))
| sK21(sK27(X0),X1) = sK20(sK21(sK27(X0),X1)) )
| spl45_1 ),
inference(resolution,[],[f618,f233]) ).
fof(f1304,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| ~ in(X1,sK27(X0))
| sK20(sK21(sK27(X0),X1)) = sK20(sK20(sK21(sK27(X0),X1))) )
| spl45_1 ),
inference(resolution,[],[f618,f573]) ).
fof(f1303,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| ~ in(X1,sK27(X0))
| sK20(sK20(sK21(sK27(X0),X1))) = sK20(sK20(sK20(sK21(sK27(X0),X1)))) )
| spl45_1 ),
inference(resolution,[],[f618,f625]) ).
fof(f1302,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP4(sK27(X0))
| ~ in(X1,sK27(X0))
| sK20(sK20(sK20(sK21(sK27(X0),X1)))) = sK20(sK20(sK20(sK20(sK21(sK27(X0),X1))))) )
| spl45_1 ),
inference(resolution,[],[f618,f639]) ).
fof(f618,plain,
( ! [X0,X1] :
( sP5(sK21(sK27(X0),X1))
| ~ ordinal(X0)
| sP4(sK27(X0))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f610,f241]) ).
fof(f1296,plain,
( ! [X0] :
( sK20(sK9(sK13(sK27(X0)))) = sK20(sK20(sK9(sK13(sK27(X0)))))
| sP5(sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f1209,f610]) ).
fof(f1295,plain,
( ! [X0] :
( sK20(sK9(sK13(sK27(X0)))) = sK20(sK20(sK9(sK13(sK27(X0)))))
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f1209,f635]) ).
fof(f1290,plain,
( ! [X0] :
( sK20(sK9(sK13(succ(X0)))) = sK20(sK20(sK9(sK13(succ(X0)))))
| ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f1209,f680]) ).
fof(f1271,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| ~ in(X1,sK27(X0))
| sK10(sK27(X0),X1) = sK20(sK10(sK27(X0),X1)) )
| spl45_1 ),
inference(resolution,[],[f613,f233]) ).
fof(f1270,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| ~ in(X1,sK27(X0))
| sK20(sK10(sK27(X0),X1)) = sK20(sK20(sK10(sK27(X0),X1))) )
| spl45_1 ),
inference(resolution,[],[f613,f573]) ).
fof(f1269,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| ~ in(X1,sK27(X0))
| sK20(sK20(sK10(sK27(X0),X1))) = sK20(sK20(sK20(sK10(sK27(X0),X1)))) )
| spl45_1 ),
inference(resolution,[],[f613,f625]) ).
fof(f1268,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| sP0(sK27(X0))
| ~ in(X1,sK27(X0))
| sK20(sK20(sK20(sK10(sK27(X0),X1)))) = sK20(sK20(sK20(sK20(sK10(sK27(X0),X1))))) )
| spl45_1 ),
inference(resolution,[],[f613,f639]) ).
fof(f613,plain,
( ! [X0,X1] :
( sP5(sK10(sK27(X0),X1))
| ~ ordinal(X0)
| sP0(sK27(X0))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f610,f186]) ).
fof(f1250,plain,
( ! [X0] :
( sK9(sK13(sK27(X0))) = sK20(sK9(sK13(sK27(X0))))
| sP5(sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f1210,f610]) ).
fof(f1249,plain,
( ! [X0] :
( sK9(sK13(sK27(X0))) = sK20(sK9(sK13(sK27(X0))))
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f1210,f635]) ).
fof(f1244,plain,
( ! [X0] :
( sK9(sK13(succ(X0))) = sK20(sK9(sK13(succ(X0))))
| ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f1210,f680]) ).
fof(f1233,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP5(sK13(sK27(X0)))
| sK20(sK20(sK9(sK13(sK27(X0))))) = sK20(sK20(sK20(sK9(sK13(sK27(X0)))))) )
| spl45_1 ),
inference(resolution,[],[f1122,f625]) ).
fof(f1232,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP5(sK13(sK27(X0)))
| sK20(sK20(sK20(sK9(sK13(sK27(X0)))))) = sK20(sK20(sK20(sK20(sK9(sK13(sK27(X0))))))) )
| spl45_1 ),
inference(resolution,[],[f1122,f639]) ).
fof(f1122,plain,
( ! [X0] :
( sP5(sK9(sK13(sK27(X0))))
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(subsumption_resolution,[],[f1119,f616]) ).
fof(f1119,plain,
( ! [X0] :
( sP5(sK9(sK13(sK27(X0))))
| ~ ordinal(sK9(sK13(sK27(X0))))
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f1114]) ).
fof(f1114,plain,
( ! [X0] :
( sP5(sK9(sK13(sK27(X0))))
| ~ ordinal(sK9(sK13(sK27(X0))))
| sP5(sK9(sK13(sK27(X0))))
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f1111,f730]) ).
fof(f1228,plain,
( ! [X0,X1] :
( ~ sP4(sK27(X0))
| sP4(X1)
| ~ in(sK22(sK27(X0)),X1)
| ~ sP5(sK21(X1,sK22(sK27(X0))))
| ~ in(sK21(X1,sK22(sK27(X0))),succ(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f456,f673]) ).
fof(f1219,plain,
( ! [X0] :
( sP5(sK9(sK13(sK27(X0))))
| sP5(sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f1121,f610]) ).
fof(f1213,plain,
( ! [X0] :
( sP5(sK9(sK13(succ(X0))))
| ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f1121,f680]) ).
fof(f1198,plain,
( ! [X0,X1] :
( ~ sP4(sK27(X0))
| sP0(X1)
| ~ in(sK22(sK27(X0)),X1)
| ~ sP5(sK10(X1,sK22(sK27(X0))))
| ~ in(sK10(X1,sK22(sK27(X0))),succ(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f455,f673]) ).
fof(f1108,plain,
( ! [X0,X1] :
( ~ sP0(sK27(X0))
| sP4(X1)
| ~ in(sK11(sK27(X0)),X1)
| ~ sP5(sK21(X1,sK11(sK27(X0))))
| ~ in(sK21(X1,sK11(sK27(X0))),succ(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f452,f673]) ).
fof(f1064,plain,
( ! [X0,X1] :
( ~ sP0(sK27(X0))
| sP0(X1)
| ~ in(sK11(sK27(X0)),X1)
| ~ sP5(sK10(X1,sK11(sK27(X0))))
| ~ in(sK10(X1,sK11(sK27(X0))),succ(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f451,f673]) ).
fof(f818,plain,
( sK13(sK27(sK36)) = sK9(sK13(sK27(sK36)))
| sK13(sK27(sK36)) = sK20(sK13(sK27(sK36)))
| spl45_1 ),
inference(resolution,[],[f646,f302]) ).
fof(f817,plain,
( sK13(sK27(sK35)) = sK9(sK13(sK27(sK35)))
| sK13(sK27(sK35)) = sK20(sK13(sK27(sK35)))
| spl45_1 ),
inference(resolution,[],[f646,f298]) ).
fof(f816,plain,
( sK13(sK27(sK32)) = sK9(sK13(sK27(sK32)))
| sK13(sK27(sK32)) = sK20(sK13(sK27(sK32)))
| spl45_1 ),
inference(resolution,[],[f646,f349]) ).
fof(f806,plain,
( sK13(sK27(sK12)) = sK9(sK13(sK27(sK12)))
| sK13(sK27(sK12)) = sK20(sK13(sK27(sK12)))
| spl45_1 ),
inference(resolution,[],[f646,f189]) ).
fof(f801,plain,
( sK13(sK27(empty_set)) = sK9(sK13(sK27(empty_set)))
| sK13(sK27(empty_set)) = sK20(sK13(sK27(empty_set)))
| spl45_1 ),
inference(resolution,[],[f646,f206]) ).
fof(f815,plain,
( ! [X0] :
( sK13(sK27(sK30(X0))) = sK9(sK13(sK27(sK30(X0))))
| sK13(sK27(sK30(X0))) = sK20(sK13(sK27(sK30(X0)))) )
| spl45_1 ),
inference(resolution,[],[f646,f284]) ).
fof(f814,plain,
( ! [X0] :
( sK13(sK27(sK29(X0))) = sK9(sK13(sK27(sK29(X0))))
| sK13(sK27(sK29(X0))) = sK20(sK13(sK27(sK29(X0)))) )
| spl45_1 ),
inference(resolution,[],[f646,f347]) ).
fof(f813,plain,
( ! [X0] :
( sK13(sK27(sK25(X0))) = sK9(sK13(sK27(sK25(X0))))
| sK13(sK27(sK25(X0))) = sK20(sK13(sK27(sK25(X0))))
| ~ sP2(X0) )
| spl45_1 ),
inference(resolution,[],[f646,f248]) ).
fof(f812,plain,
( ! [X0] :
( sK13(sK27(sK23(X0))) = sK9(sK13(sK27(sK23(X0))))
| sK13(sK27(sK23(X0))) = sK20(sK13(sK27(sK23(X0))))
| ~ sP3(X0) )
| spl45_1 ),
inference(resolution,[],[f646,f244]) ).
fof(f811,plain,
( ! [X0] :
( sK13(sK27(sK20(X0))) = sK9(sK13(sK27(sK20(X0))))
| sK13(sK27(sK20(X0))) = sK20(sK13(sK27(sK20(X0))))
| ~ sP5(X0) )
| spl45_1 ),
inference(resolution,[],[f646,f232]) ).
fof(f809,plain,
( ! [X0] :
( sK13(sK27(sK15(X0))) = sK9(sK13(sK27(sK15(X0))))
| sK13(sK27(sK15(X0))) = sK20(sK13(sK27(sK15(X0))))
| ~ ordinal(powerset(X0))
| empty(X0) )
| spl45_1 ),
inference(resolution,[],[f646,f381]) ).
fof(f808,plain,
( ! [X0] :
( sK13(sK27(sK14(X0))) = sK9(sK13(sK27(sK14(X0))))
| sK13(sK27(sK14(X0))) = sK20(sK13(sK27(sK14(X0))))
| ~ ordinal(powerset(X0))
| empty(X0) )
| spl45_1 ),
inference(resolution,[],[f646,f380]) ).
fof(f805,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(sK27(X0))))) = sK9(sK13(sK27(sK9(sK13(sK27(X0))))))
| sK13(sK27(sK9(sK13(sK27(X0))))) = sK20(sK13(sK27(sK9(sK13(sK27(X0))))))
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f646,f616]) ).
fof(f804,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(sK27(X0))))) = sK9(sK13(sK27(sK9(sK13(sK27(X0))))))
| sK13(sK27(sK9(sK13(sK27(X0))))) = sK20(sK13(sK27(sK9(sK13(sK27(X0))))))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f646,f650]) ).
fof(f803,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(succ(X0))))) = sK9(sK13(sK27(sK9(sK13(succ(X0))))))
| sK13(sK27(sK9(sK13(succ(X0))))) = sK20(sK13(sK27(sK9(sK13(succ(X0))))))
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega) )
| spl45_1 ),
inference(resolution,[],[f646,f445]) ).
fof(f802,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(X0)))) = sK9(sK13(sK27(sK9(sK13(X0)))))
| sK13(sK27(sK9(sK13(X0)))) = sK20(sK13(sK27(sK9(sK13(X0)))))
| in(sK13(X0),X0) )
| spl45_1 ),
inference(resolution,[],[f646,f365]) ).
fof(f799,plain,
( ! [X0] :
( sK13(sK27(succ(X0))) = sK9(sK13(sK27(succ(X0))))
| sK13(sK27(succ(X0))) = sK20(sK13(sK27(succ(X0))))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f646,f226]) ).
fof(f798,plain,
( ! [X0] :
( sK13(sK27(succ(X0))) = sK9(sK13(sK27(succ(X0))))
| sK13(sK27(succ(X0))) = sK20(sK13(sK27(succ(X0))))
| ~ sP7(X0) )
| spl45_1 ),
inference(resolution,[],[f646,f273]) ).
fof(f646,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK13(sK27(X0)) = sK9(sK13(sK27(X0)))
| sK13(sK27(X0)) = sK20(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f615,f233]) ).
fof(f730,plain,
( ! [X0] :
( sP0(sK19(sK9(sK13(sK27(X0)))))
| sP5(sK9(sK13(sK27(X0))))
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f724,f617]) ).
fof(f738,plain,
( ! [X0] :
( sP0(sK19(sK9(sK13(sK27(X0)))))
| sP5(sK9(sK13(sK27(X0))))
| sP5(sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f728,f610]) ).
fof(f737,plain,
( ! [X0] :
( sP0(sK19(sK9(sK13(sK27(X0)))))
| sP5(sK9(sK13(sK27(X0))))
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f728,f635]) ).
fof(f732,plain,
( ! [X0] :
( sP0(sK19(sK9(sK13(succ(X0)))))
| sP5(sK9(sK13(succ(X0))))
| ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f728,f680]) ).
fof(f729,plain,
( ! [X0] :
( sP0(sK19(sK9(sK13(sK27(X0)))))
| sP5(sK9(sK13(sK27(X0))))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f724,f651]) ).
fof(f634,plain,
( ! [X0] :
( ~ sP4(sK27(X0))
| ~ ordinal(X0)
| sK22(sK27(X0)) = sK20(sK22(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f619,f233]) ).
fof(f632,plain,
( ! [X0] :
( ~ sP0(sK27(X0))
| ~ ordinal(X0)
| sK11(sK27(X0)) = sK20(sK11(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f614,f233]) ).
fof(f706,plain,
( ! [X0] :
( ~ in(X0,sK13(X0))
| sK13(X0) = sK28(sK12,sK13(X0))
| ~ sP5(sK13(X0)) )
| spl45_1 ),
inference(resolution,[],[f704,f288]) ).
fof(f712,plain,
( ! [X0] :
( ~ sP5(sK13(sK27(X0)))
| sK13(sK27(X0)) = sK28(sK12,sK13(sK27(X0)))
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f704,f635]) ).
fof(f711,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) )
| spl45_1 ),
inference(resolution,[],[f704,f325]) ).
fof(f715,plain,
( ! [X0] :
( sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) )
| spl45_1 ),
inference(subsumption_resolution,[],[f710,f332]) ).
fof(f710,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) )
| spl45_1 ),
inference(resolution,[],[f704,f328]) ).
fof(f709,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) )
| spl45_1 ),
inference(resolution,[],[f704,f326]) ).
fof(f708,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) )
| spl45_1 ),
inference(resolution,[],[f704,f327]) ).
fof(f714,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0))) )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f707]) ).
fof(f707,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f704,f680]) ).
fof(f704,plain,
( ! [X0] :
( in(sK13(X0),X0)
| ~ sP5(sK13(X0))
| sK13(X0) = sK28(sK12,sK13(X0)) )
| spl45_1 ),
inference(subsumption_resolution,[],[f701,f189]) ).
fof(f701,plain,
( ! [X0] :
( ~ ordinal(sK12)
| sK13(X0) = sK28(sK12,sK13(X0))
| ~ sP5(sK13(X0))
| in(sK13(X0),X0) )
| spl45_1 ),
inference(resolution,[],[f691,f190]) ).
fof(f705,plain,
( ! [X0] :
( sK13(sK27(X0)) = sK28(sK12,sK13(sK27(X0)))
| ~ sP5(sK13(sK27(X0)))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(subsumption_resolution,[],[f702,f189]) ).
fof(f702,plain,
( ! [X0] :
( ~ ordinal(sK12)
| sK13(sK27(X0)) = sK28(sK12,sK13(sK27(X0)))
| ~ sP5(sK13(sK27(X0)))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f691,f651]) ).
fof(f691,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1)
| ~ ordinal(X1)
| sK28(X1,X0) = X0
| ~ sP5(X0) )
| spl45_1 ),
inference(resolution,[],[f680,f176]) ).
fof(f699,plain,
( ! [X0] :
( ~ sP5(sK22(succ(X0)))
| ~ ordinal(X0)
| sK22(succ(X0)) = sK28(X0,sK22(succ(X0)))
| ~ sP4(succ(X0)) )
| spl45_1 ),
inference(resolution,[],[f680,f239]) ).
fof(f698,plain,
( ! [X0,X1] :
( ~ sP5(sK21(succ(X0),X1))
| ~ ordinal(X0)
| sK21(succ(X0),X1) = sK28(X0,sK21(succ(X0),X1))
| sP4(succ(X0))
| ~ in(X1,succ(X0)) )
| spl45_1 ),
inference(resolution,[],[f680,f241]) ).
fof(f697,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0)))
| sP1(sK13(succ(X0)),sK12) )
| spl45_1 ),
inference(resolution,[],[f680,f190]) ).
fof(f696,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0)))
| ordinal(sK9(sK13(succ(X0)))) )
| spl45_1 ),
inference(resolution,[],[f680,f365]) ).
fof(f695,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0)))
| sK13(succ(X0)) = sK9(sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f680,f370]) ).
fof(f694,plain,
( ! [X0] :
( ~ sP5(sK11(succ(X0)))
| ~ ordinal(X0)
| sK11(succ(X0)) = sK28(X0,sK11(succ(X0)))
| ~ sP0(succ(X0)) )
| spl45_1 ),
inference(resolution,[],[f680,f184]) ).
fof(f693,plain,
( ! [X0,X1] :
( ~ sP5(sK10(succ(X0),X1))
| ~ ordinal(X0)
| sK10(succ(X0),X1) = sK28(X0,sK10(succ(X0),X1))
| sP0(succ(X0))
| ~ in(X1,succ(X0)) )
| spl45_1 ),
inference(resolution,[],[f680,f186]) ).
fof(f700,plain,
( ! [X0,X1] :
( ~ sP5(sK28(X0,X1))
| ~ ordinal(X0)
| sK28(X0,X1) = sK28(X0,sK28(X0,X1))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f692]) ).
fof(f692,plain,
( ! [X0,X1] :
( ~ sP5(sK28(X0,X1))
| ~ ordinal(X0)
| sK28(X0,X1) = sK28(X0,sK28(X0,X1))
| ~ in(X1,sK27(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f680,f667]) ).
fof(f680,plain,
( ! [X0,X1] :
( ~ in(X0,succ(X1))
| ~ sP5(X0)
| ~ ordinal(X1)
| sK28(X1,X0) = X0 )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f674]) ).
fof(f674,plain,
( ! [X0,X1] :
( ~ sP5(X0)
| ~ in(X0,succ(X1))
| ~ ordinal(X1)
| sK28(X1,X0) = X0
| ~ ordinal(X1) )
| spl45_1 ),
inference(resolution,[],[f673,f635]) ).
fof(f689,plain,
( ! [X0] :
( ~ ordinal(sK27(X0))
| ~ ordinal(X0)
| ~ sP1(omega,X0)
| sK20(sK27(X0)) = sK20(sK20(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f686,f573]) ).
fof(f688,plain,
( ! [X0] :
( ~ ordinal(sK27(X0))
| ~ ordinal(X0)
| ~ sP1(omega,X0)
| sK20(sK20(sK27(X0))) = sK20(sK20(sK20(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f686,f625]) ).
fof(f687,plain,
( ! [X0] :
( ~ ordinal(sK27(X0))
| ~ ordinal(X0)
| ~ sP1(omega,X0)
| sK20(sK20(sK20(sK27(X0)))) = sK20(sK20(sK20(sK20(sK27(X0))))) )
| spl45_1 ),
inference(resolution,[],[f686,f639]) ).
fof(f686,plain,
( ! [X0] :
( sP5(sK27(X0))
| ~ ordinal(sK27(X0))
| ~ ordinal(X0)
| ~ sP1(omega,X0) )
| spl45_1 ),
inference(resolution,[],[f681,f176]) ).
fof(f681,plain,
( ! [X0] :
( ~ in(omega,succ(X0))
| ~ ordinal(X0)
| ~ ordinal(sK27(X0))
| sP5(sK27(X0)) )
| spl45_1 ),
inference(subsumption_resolution,[],[f678,f390]) ).
fof(f678,plain,
( ! [X0] :
( ~ sP5(omega)
| ~ in(omega,succ(X0))
| ~ ordinal(X0)
| ~ ordinal(sK27(X0))
| sP5(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f673,f384]) ).
fof(f684,plain,
( ! [X0,X1] :
( ~ in(sK27(X0),succ(X1))
| ~ ordinal(X1)
| ~ sP5(sK27(X0))
| ~ sP5(sK27(X1))
| ~ in(sK27(X1),succ(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f676,f673]) ).
fof(f685,plain,
( ! [X0] :
( ~ in(omega,succ(X0))
| ~ ordinal(X0)
| sP5(sK27(X0))
| ~ ordinal(sK27(X0)) )
| spl45_1 ),
inference(subsumption_resolution,[],[f683,f390]) ).
fof(f683,plain,
( ! [X0] :
( ~ in(omega,succ(X0))
| ~ ordinal(X0)
| ~ sP5(omega)
| sP5(sK27(X0))
| ~ ordinal(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f676,f332]) ).
fof(f682,plain,
( ! [X0,X1] :
( ~ in(succ(X0),succ(X1))
| ~ ordinal(X1)
| ~ sP5(succ(X0))
| ~ sP1(sK27(X1),X0) )
| spl45_1 ),
inference(resolution,[],[f676,f176]) ).
fof(f676,plain,
( ! [X0,X1] :
( ~ in(sK27(X1),X0)
| ~ in(X0,succ(X1))
| ~ ordinal(X1)
| ~ sP5(X0) )
| spl45_1 ),
inference(resolution,[],[f673,f288]) ).
fof(f671,plain,
( ! [X0,X1] :
( ~ sP0(sK8(sK28(X1,X0)))
| ~ ordinal(X1)
| ~ in(X0,sK27(X1))
| ~ ordinal(sK28(X1,X0))
| sP1(sK28(X1,X0),X1) )
| spl45_1 ),
inference(resolution,[],[f667,f325]) ).
fof(f668,plain,
( ! [X0,X1] :
( ~ in(X0,sK27(X1))
| ~ ordinal(X1)
| element(sK8(sK28(X1,X0)),powerset(powerset(sK28(X1,X0))))
| ~ ordinal(sK28(X1,X0))
| sP1(sK28(X1,X0),X1) )
| spl45_1 ),
inference(resolution,[],[f667,f327]) ).
fof(f650,plain,
( ! [X0] :
( ordinal(sK9(sK13(sK27(X0))))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f635,f365]) ).
fof(f665,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ordinal(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f651,f177]) ).
fof(f664,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f651,f178]) ).
fof(f659,plain,
( ! [X0] :
( sK20(sK20(sK20(sK22(sK27(X0))))) = sK20(sK20(sK20(sK20(sK22(sK27(X0))))))
| ~ ordinal(X0)
| ~ sP4(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f639,f619]) ).
fof(f657,plain,
( ! [X0] :
( sK20(sK20(sK20(sK13(sK27(X0))))) = sK20(sK20(sK20(sK20(sK13(sK27(X0))))))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f639,f615]) ).
fof(f656,plain,
( ! [X0] :
( sK20(sK20(sK20(sK11(sK27(X0))))) = sK20(sK20(sK20(sK20(sK11(sK27(X0))))))
| ~ ordinal(X0)
| ~ sP0(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f639,f614]) ).
fof(f645,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK13(sK27(X0)) = sK9(sK13(sK27(X0)))
| sK20(sK13(sK27(X0))) = sK20(sK20(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f615,f573]) ).
fof(f644,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK13(sK27(X0)) = sK9(sK13(sK27(X0)))
| sK20(sK20(sK13(sK27(X0)))) = sK20(sK20(sK20(sK13(sK27(X0))))) )
| spl45_1 ),
inference(resolution,[],[f615,f625]) ).
fof(f615,plain,
( ! [X0] :
( sP5(sK13(sK27(X0)))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f610,f370]) ).
fof(f640,plain,
( ! [X0] :
( sK20(sK20(sK22(sK27(X0)))) = sK20(sK20(sK20(sK22(sK27(X0)))))
| ~ ordinal(X0)
| ~ sP4(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f625,f619]) ).
fof(f638,plain,
( ! [X0] :
( sK20(sK20(sK11(sK27(X0)))) = sK20(sK20(sK20(sK11(sK27(X0)))))
| ~ ordinal(X0)
| ~ sP0(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f625,f614]) ).
fof(f633,plain,
( ! [X0] :
( ~ ordinal(X0)
| ~ sP4(sK27(X0))
| sK20(sK22(sK27(X0))) = sK20(sK20(sK22(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f619,f573]) ).
fof(f619,plain,
( ! [X0] :
( sP5(sK22(sK27(X0)))
| ~ ordinal(X0)
| ~ sP4(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f610,f239]) ).
fof(f631,plain,
( ! [X0] :
( ~ ordinal(X0)
| ~ sP0(sK27(X0))
| sK20(sK11(sK27(X0))) = sK20(sK20(sK11(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f614,f573]) ).
fof(f614,plain,
( ! [X0] :
( sP5(sK11(sK27(X0)))
| ~ ordinal(X0)
| ~ sP0(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f610,f184]) ).
fof(f616,plain,
( ! [X0] :
( ordinal(sK9(sK13(sK27(X0))))
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f610,f365]) ).
fof(f629,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP5(sK13(sK27(X0)))
| ordinal(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f617,f177]) ).
fof(f628,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP5(sK13(sK27(X0)))
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f617,f178]) ).
fof(f617,plain,
( ! [X0] :
( sP1(sK13(sK27(X0)),sK12)
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f610,f190]) ).
fof(f610,plain,
( ! [X2,X0] :
( ~ in(X2,sK27(X0))
| sP5(X2)
| ~ ordinal(X0) )
| spl45_1 ),
inference(subsumption_resolution,[],[f254,f340]) ).
fof(f605,plain,
( ~ sP6
| spl45_1 ),
inference(global_subsumption,[],[f179,f193,f195,f203,f223,f334,f247,f246,f251,f250,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f340,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f428,f431,f432,f433,f435,f328,f437,f438,f441,f442,f443,f445,f409,f423,f447,f448,f422,f185,f451,f452,f240,f455,f456,f457,f458,f459,f326,f462,f463,f464,f467,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f522,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f568,f569,f560,f561,f571,f567,f573,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230]) ).
fof(f604,plain,
( ~ sP6
| spl45_1 ),
inference(global_subsumption,[],[f179,f193,f195,f203,f223,f334,f247,f246,f251,f250,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f340,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f428,f431,f432,f433,f435,f328,f437,f438,f441,f442,f443,f445,f409,f423,f447,f448,f422,f185,f451,f452,f240,f455,f456,f457,f458,f459,f326,f462,f463,f464,f467,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f522,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f568,f569,f560,f561,f571,f567,f573,f333,f252,f253,f254,f230,f231,f602,f229,f603,f227]) ).
fof(f603,plain,
( ~ sP6
| spl45_1 ),
inference(global_subsumption,[],[f179,f193,f195,f203,f223,f334,f247,f246,f251,f250,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f340,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f428,f431,f432,f433,f435,f328,f437,f438,f441,f442,f443,f445,f409,f423,f447,f448,f422,f185,f451,f452,f240,f455,f456,f457,f458,f459,f326,f462,f463,f464,f467,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f522,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f568,f569,f560,f561,f571,f567,f573,f333,f252,f253,f254,f227,f230,f231,f602,f229]) ).
fof(f602,plain,
( ~ sP6
| spl45_1 ),
inference(global_subsumption,[],[f179,f193,f195,f203,f223,f334,f247,f246,f251,f250,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f340,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f428,f431,f432,f433,f435,f328,f437,f438,f441,f442,f443,f445,f409,f423,f447,f448,f422,f185,f451,f452,f240,f455,f456,f457,f458,f459,f326,f462,f463,f464,f467,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f522,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f568,f569,f560,f561,f571,f567,f573,f333,f252,f253,f254,f229,f227,f230,f231]) ).
fof(f526,plain,
( sK13(sK27(omega)) = sK9(sK13(sK27(omega)))
| sK13(sK27(omega)) = sK20(sK13(sK27(omega)))
| spl45_1 ),
inference(resolution,[],[f417,f199]) ).
fof(f546,plain,
( sK13(sK27(sK44)) = sK9(sK13(sK27(sK44)))
| sK13(sK27(sK44)) = sK20(sK13(sK27(sK44)))
| spl45_1 ),
inference(resolution,[],[f417,f324]) ).
fof(f545,plain,
( sK13(sK27(sK43)) = sK9(sK13(sK27(sK43)))
| sK13(sK27(sK43)) = sK20(sK13(sK27(sK43)))
| spl45_1 ),
inference(resolution,[],[f417,f352]) ).
fof(f544,plain,
( sK13(sK27(sK42)) = sK9(sK13(sK27(sK42)))
| sK13(sK27(sK42)) = sK20(sK13(sK27(sK42)))
| spl45_1 ),
inference(resolution,[],[f417,f318]) ).
fof(f543,plain,
( sK13(sK27(sK37)) = sK9(sK13(sK27(sK37)))
| sK13(sK27(sK37)) = sK20(sK13(sK27(sK37)))
| spl45_1 ),
inference(resolution,[],[f417,f350]) ).
fof(f542,plain,
( sK13(sK27(sK36)) = sK9(sK13(sK27(sK36)))
| sK13(sK27(sK36)) = sK20(sK13(sK27(sK36)))
| spl45_1 ),
inference(resolution,[],[f417,f302]) ).
fof(f541,plain,
( sK13(sK27(sK35)) = sK9(sK13(sK27(sK35)))
| sK13(sK27(sK35)) = sK20(sK13(sK27(sK35)))
| spl45_1 ),
inference(resolution,[],[f417,f298]) ).
fof(f540,plain,
( sK13(sK27(sK32)) = sK9(sK13(sK27(sK32)))
| sK13(sK27(sK32)) = sK20(sK13(sK27(sK32)))
| spl45_1 ),
inference(resolution,[],[f417,f349]) ).
fof(f539,plain,
( ! [X0] :
( sK13(sK27(sK30(X0))) = sK9(sK13(sK27(sK30(X0))))
| sK13(sK27(sK30(X0))) = sK20(sK13(sK27(sK30(X0)))) )
| spl45_1 ),
inference(resolution,[],[f417,f284]) ).
fof(f538,plain,
( ! [X0] :
( sK13(sK27(sK29(X0))) = sK9(sK13(sK27(sK29(X0))))
| sK13(sK27(sK29(X0))) = sK20(sK13(sK27(sK29(X0)))) )
| spl45_1 ),
inference(resolution,[],[f417,f347]) ).
fof(f537,plain,
( ! [X0] :
( sK13(sK27(sK25(X0))) = sK9(sK13(sK27(sK25(X0))))
| sK13(sK27(sK25(X0))) = sK20(sK13(sK27(sK25(X0))))
| ~ sP2(X0) )
| spl45_1 ),
inference(resolution,[],[f417,f248]) ).
fof(f536,plain,
( ! [X0] :
( sK13(sK27(sK23(X0))) = sK9(sK13(sK27(sK23(X0))))
| sK13(sK27(sK23(X0))) = sK20(sK13(sK27(sK23(X0))))
| ~ sP3(X0) )
| spl45_1 ),
inference(resolution,[],[f417,f244]) ).
fof(f535,plain,
( ! [X0] :
( sK13(sK27(sK20(X0))) = sK9(sK13(sK27(sK20(X0))))
| sK13(sK27(sK20(X0))) = sK20(sK13(sK27(sK20(X0))))
| ~ sP5(X0) )
| spl45_1 ),
inference(resolution,[],[f417,f232]) ).
fof(f534,plain,
( ! [X0] :
( sK13(sK27(sK15(X0))) = sK9(sK13(sK27(sK15(X0))))
| sK13(sK27(sK15(X0))) = sK20(sK13(sK27(sK15(X0))))
| ~ ordinal(powerset(X0))
| empty(X0) )
| spl45_1 ),
inference(resolution,[],[f417,f381]) ).
fof(f533,plain,
( ! [X0] :
( sK13(sK27(sK14(X0))) = sK9(sK13(sK27(sK14(X0))))
| sK13(sK27(sK14(X0))) = sK20(sK13(sK27(sK14(X0))))
| ~ ordinal(powerset(X0))
| empty(X0) )
| spl45_1 ),
inference(resolution,[],[f417,f380]) ).
fof(f532,plain,
( sK13(sK27(sK12)) = sK9(sK13(sK27(sK12)))
| sK13(sK27(sK12)) = sK20(sK13(sK27(sK12)))
| spl45_1 ),
inference(resolution,[],[f417,f189]) ).
fof(f531,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(succ(X0))))) = sK9(sK13(sK27(sK9(sK13(succ(X0))))))
| sK13(sK27(sK9(sK13(succ(X0))))) = sK20(sK13(sK27(sK9(sK13(succ(X0))))))
| ~ ordinal(sK13(succ(X0)))
| in(sK13(succ(X0)),omega) )
| spl45_1 ),
inference(resolution,[],[f417,f445]) ).
fof(f530,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(sK27(X0))))) = sK9(sK13(sK27(sK9(sK13(sK27(X0))))))
| sK13(sK27(sK9(sK13(sK27(X0))))) = sK20(sK13(sK27(sK9(sK13(sK27(X0))))))
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f417,f402]) ).
fof(f529,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(sK27(X0))))) = sK9(sK13(sK27(sK9(sK13(sK27(X0))))))
| sK13(sK27(sK9(sK13(sK27(X0))))) = sK20(sK13(sK27(sK9(sK13(sK27(X0))))))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f417,f422]) ).
fof(f528,plain,
( ! [X0] :
( sK13(sK27(sK9(sK13(X0)))) = sK9(sK13(sK27(sK9(sK13(X0)))))
| sK13(sK27(sK9(sK13(X0)))) = sK20(sK13(sK27(sK9(sK13(X0)))))
| in(sK13(X0),X0) )
| spl45_1 ),
inference(resolution,[],[f417,f365]) ).
fof(f527,plain,
( sK13(sK27(empty_set)) = sK9(sK13(sK27(empty_set)))
| sK13(sK27(empty_set)) = sK20(sK13(sK27(empty_set)))
| spl45_1 ),
inference(resolution,[],[f417,f206]) ).
fof(f525,plain,
( ! [X0] :
( sK13(sK27(succ(X0))) = sK9(sK13(sK27(succ(X0))))
| sK13(sK27(succ(X0))) = sK20(sK13(sK27(succ(X0))))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f417,f226]) ).
fof(f524,plain,
( ! [X0] :
( sK13(sK27(succ(X0))) = sK9(sK13(sK27(succ(X0))))
| sK13(sK27(succ(X0))) = sK20(sK13(sK27(succ(X0))))
| ~ sP7(X0) )
| spl45_1 ),
inference(resolution,[],[f417,f273]) ).
fof(f417,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK13(sK27(X0)) = sK9(sK13(sK27(X0)))
| sK13(sK27(X0)) = sK20(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f401,f233]) ).
fof(f408,plain,
( ! [X0] :
( ~ sP4(sK27(X0))
| ~ ordinal(X0)
| sK22(sK27(X0)) = sK20(sK22(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f400,f233]) ).
fof(f407,plain,
( ! [X0] :
( ~ sP0(sK27(X0))
| ~ ordinal(X0)
| sK11(sK27(X0)) = sK20(sK11(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f399,f233]) ).
fof(f502,plain,
( ! [X0] :
( ~ in(X0,sK13(X0))
| sK13(X0) = sK28(sK12,sK13(X0))
| ~ sP5(sK13(X0)) )
| spl45_1 ),
inference(resolution,[],[f500,f288]) ).
fof(f515,plain,
( ! [X0] :
( element(sK8(sK13(succ(X0))),powerset(powerset(sK13(succ(X0)))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0)
| ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f327,f500]) ).
fof(f512,plain,
( ! [X0,X1] :
( element(sK8(sK28(X0,X1)),powerset(powerset(sK28(X0,X1))))
| ~ ordinal(sK28(X0,X1))
| sP1(sK28(X0,X1),X0)
| ~ in(X1,sK27(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f327,f457]) ).
fof(f507,plain,
( ! [X0] :
( ~ sP5(sK13(sK27(X0)))
| sK13(sK27(X0)) = sK28(sK12,sK13(sK27(X0)))
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f500,f418]) ).
fof(f506,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| ~ sP0(sK8(sK13(succ(X0))))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) )
| spl45_1 ),
inference(resolution,[],[f500,f325]) ).
fof(f510,plain,
( ! [X0] :
( sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) )
| spl45_1 ),
inference(subsumption_resolution,[],[f505,f332]) ).
fof(f505,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| in(sK13(succ(X0)),omega)
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) )
| spl45_1 ),
inference(resolution,[],[f500,f328]) ).
fof(f504,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| empty_set != sK8(sK13(succ(X0)))
| ~ ordinal(sK13(succ(X0)))
| sP1(sK13(succ(X0)),X0) )
| spl45_1 ),
inference(resolution,[],[f500,f326]) ).
fof(f509,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0))) )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f503]) ).
fof(f503,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| sK13(succ(X0)) = sK28(sK12,sK13(succ(X0)))
| ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f500,f479]) ).
fof(f500,plain,
( ! [X0] :
( in(sK13(X0),X0)
| ~ sP5(sK13(X0))
| sK13(X0) = sK28(sK12,sK13(X0)) )
| spl45_1 ),
inference(subsumption_resolution,[],[f497,f189]) ).
fof(f497,plain,
( ! [X0] :
( ~ ordinal(sK12)
| sK13(X0) = sK28(sK12,sK13(X0))
| ~ sP5(sK13(X0))
| in(sK13(X0),X0) )
| spl45_1 ),
inference(resolution,[],[f487,f190]) ).
fof(f501,plain,
( ! [X0] :
( sK13(sK27(X0)) = sK28(sK12,sK13(sK27(X0)))
| ~ sP5(sK13(sK27(X0)))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(subsumption_resolution,[],[f498,f189]) ).
fof(f498,plain,
( ! [X0] :
( ~ ordinal(sK12)
| sK13(sK27(X0)) = sK28(sK12,sK13(sK27(X0)))
| ~ sP5(sK13(sK27(X0)))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f487,f423]) ).
fof(f487,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1)
| ~ ordinal(X1)
| sK28(X1,X0) = X0
| ~ sP5(X0) )
| spl45_1 ),
inference(resolution,[],[f479,f176]) ).
fof(f495,plain,
( ! [X0] :
( ~ sP5(sK22(succ(X0)))
| ~ ordinal(X0)
| sK22(succ(X0)) = sK28(X0,sK22(succ(X0)))
| ~ sP4(succ(X0)) )
| spl45_1 ),
inference(resolution,[],[f479,f239]) ).
fof(f494,plain,
( ! [X0,X1] :
( ~ sP5(sK21(succ(X0),X1))
| ~ ordinal(X0)
| sK21(succ(X0),X1) = sK28(X0,sK21(succ(X0),X1))
| sP4(succ(X0))
| ~ in(X1,succ(X0)) )
| spl45_1 ),
inference(resolution,[],[f479,f241]) ).
fof(f493,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0)))
| sP1(sK13(succ(X0)),sK12) )
| spl45_1 ),
inference(resolution,[],[f479,f190]) ).
fof(f492,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0)))
| ordinal(sK9(sK13(succ(X0)))) )
| spl45_1 ),
inference(resolution,[],[f479,f365]) ).
fof(f491,plain,
( ! [X0] :
( ~ sP5(sK13(succ(X0)))
| ~ ordinal(X0)
| sK13(succ(X0)) = sK28(X0,sK13(succ(X0)))
| sK13(succ(X0)) = sK9(sK13(succ(X0))) )
| spl45_1 ),
inference(resolution,[],[f479,f370]) ).
fof(f490,plain,
( ! [X0] :
( ~ sP5(sK11(succ(X0)))
| ~ ordinal(X0)
| sK11(succ(X0)) = sK28(X0,sK11(succ(X0)))
| ~ sP0(succ(X0)) )
| spl45_1 ),
inference(resolution,[],[f479,f184]) ).
fof(f489,plain,
( ! [X0,X1] :
( ~ sP5(sK10(succ(X0),X1))
| ~ ordinal(X0)
| sK10(succ(X0),X1) = sK28(X0,sK10(succ(X0),X1))
| sP0(succ(X0))
| ~ in(X1,succ(X0)) )
| spl45_1 ),
inference(resolution,[],[f479,f186]) ).
fof(f496,plain,
( ! [X0,X1] :
( ~ sP5(sK28(X0,X1))
| ~ ordinal(X0)
| sK28(X0,X1) = sK28(X0,sK28(X0,X1))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f488]) ).
fof(f488,plain,
( ! [X0,X1] :
( ~ sP5(sK28(X0,X1))
| ~ ordinal(X0)
| sK28(X0,X1) = sK28(X0,sK28(X0,X1))
| ~ in(X1,sK27(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f479,f457]) ).
fof(f479,plain,
( ! [X0,X1] :
( ~ in(X0,succ(X1))
| ~ sP5(X0)
| ~ ordinal(X1)
| sK28(X1,X0) = X0 )
| spl45_1 ),
inference(duplicate_literal_removal,[],[f473]) ).
fof(f473,plain,
( ! [X0,X1] :
( ~ sP5(X0)
| ~ in(X0,succ(X1))
| ~ ordinal(X1)
| sK28(X1,X0) = X0
| ~ ordinal(X1) )
| spl45_1 ),
inference(resolution,[],[f472,f418]) ).
fof(f486,plain,
( ! [X0] :
( ~ ordinal(sK27(X0))
| ~ ordinal(X0)
| ~ sP1(omega,X0)
| sK27(X0) = sK20(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f485,f233]) ).
fof(f485,plain,
( ! [X0] :
( sP5(sK27(X0))
| ~ ordinal(sK27(X0))
| ~ ordinal(X0)
| ~ sP1(omega,X0) )
| spl45_1 ),
inference(resolution,[],[f480,f176]) ).
fof(f480,plain,
( ! [X0] :
( ~ in(omega,succ(X0))
| ~ ordinal(X0)
| ~ ordinal(sK27(X0))
| sP5(sK27(X0)) )
| spl45_1 ),
inference(subsumption_resolution,[],[f477,f390]) ).
fof(f477,plain,
( ! [X0] :
( ~ sP5(omega)
| ~ in(omega,succ(X0))
| ~ ordinal(X0)
| ~ ordinal(sK27(X0))
| sP5(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f472,f384]) ).
fof(f483,plain,
( ! [X0,X1] :
( ~ in(sK27(X0),succ(X1))
| ~ ordinal(X1)
| ~ sP5(sK27(X0))
| ~ sP5(sK27(X1))
| ~ in(sK27(X1),succ(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f475,f472]) ).
fof(f484,plain,
( ! [X0] :
( ~ in(omega,succ(X0))
| ~ ordinal(X0)
| sP5(sK27(X0))
| ~ ordinal(sK27(X0)) )
| spl45_1 ),
inference(subsumption_resolution,[],[f482,f390]) ).
fof(f482,plain,
( ! [X0] :
( ~ in(omega,succ(X0))
| ~ ordinal(X0)
| ~ sP5(omega)
| sP5(sK27(X0))
| ~ ordinal(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f475,f332]) ).
fof(f481,plain,
( ! [X0,X1] :
( ~ in(succ(X0),succ(X1))
| ~ ordinal(X1)
| ~ sP5(succ(X0))
| ~ sP1(sK27(X1),X0) )
| spl45_1 ),
inference(resolution,[],[f475,f176]) ).
fof(f475,plain,
( ! [X0,X1] :
( ~ in(sK27(X1),X0)
| ~ in(X0,succ(X1))
| ~ ordinal(X1)
| ~ sP5(X0) )
| spl45_1 ),
inference(resolution,[],[f472,f288]) ).
fof(f476,plain,
( ! [X0,X1] :
( ~ sP5(succ(X0))
| ~ in(succ(X0),succ(X1))
| ~ ordinal(X1)
| ~ sP1(sK27(X1),X0) )
| spl45_1 ),
inference(resolution,[],[f472,f369]) ).
fof(f472,plain,
( ! [X3,X0] :
( in(X3,sK27(X0))
| ~ sP5(X3)
| ~ in(X3,succ(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(subsumption_resolution,[],[f333,f340]) ).
fof(f460,plain,
( ! [X0,X1] :
( ~ in(succ(X1),sK28(X1,X0))
| ~ ordinal(X1)
| ~ in(X0,sK27(X1)) )
| spl45_1 ),
inference(resolution,[],[f457,f288]) ).
fof(f462,plain,
( ! [X0,X1] :
( empty_set != sK8(sK28(X0,X1))
| ~ ordinal(sK28(X0,X1))
| sP1(sK28(X0,X1),X0)
| ~ in(X1,sK27(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f326,f457]) ).
fof(f459,plain,
( ! [X0,X1] :
( ~ in(X0,sK27(X1))
| ~ ordinal(X1)
| ~ sP0(sK8(sK28(X1,X0)))
| ~ ordinal(sK28(X1,X0))
| sP1(sK28(X1,X0),X1) )
| spl45_1 ),
inference(resolution,[],[f457,f325]) ).
fof(f458,plain,
( ! [X0,X1] :
( ~ in(X0,sK27(X1))
| ~ ordinal(X1)
| in(sK28(X1,X0),omega)
| ~ ordinal(sK28(X1,X0))
| sP1(sK28(X1,X0),X1) )
| spl45_1 ),
inference(resolution,[],[f457,f328]) ).
fof(f457,plain,
( ! [X2,X0] :
( in(sK28(X0,X2),succ(X0))
| ~ in(X2,sK27(X0))
| ~ ordinal(X0) )
| spl45_1 ),
inference(subsumption_resolution,[],[f252,f340]) ).
fof(f422,plain,
( ! [X0] :
( ordinal(sK9(sK13(sK27(X0))))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f418,f365]) ).
fof(f448,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ordinal(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f423,f177]) ).
fof(f447,plain,
( ! [X0] :
( ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f423,f178]) ).
fof(f423,plain,
( ! [X0] :
( sP1(sK13(sK27(X0)),sK12)
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f418,f190]) ).
fof(f425,plain,
( ! [X0] :
( sK22(sK27(X0)) = sK28(X0,sK22(sK27(X0)))
| ~ ordinal(X0)
| ~ sP4(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f418,f239]) ).
fof(f424,plain,
( ! [X0,X1] :
( sK21(sK27(X0),X1) = sK28(X0,sK21(sK27(X0),X1))
| ~ ordinal(X0)
| sP4(sK27(X0))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f418,f241]) ).
fof(f421,plain,
( ! [X0] :
( sK13(sK27(X0)) = sK28(X0,sK13(sK27(X0)))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f418,f370]) ).
fof(f420,plain,
( ! [X0] :
( sK11(sK27(X0)) = sK28(X0,sK11(sK27(X0)))
| ~ ordinal(X0)
| ~ sP0(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f418,f184]) ).
fof(f419,plain,
( ! [X0,X1] :
( sK10(sK27(X0),X1) = sK28(X0,sK10(sK27(X0),X1))
| ~ ordinal(X0)
| sP0(sK27(X0))
| ~ in(X1,sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f418,f186]) ).
fof(f418,plain,
( ! [X2,X0] :
( ~ in(X2,sK27(X0))
| sK28(X0,X2) = X2
| ~ ordinal(X0) )
| spl45_1 ),
inference(subsumption_resolution,[],[f253,f340]) ).
fof(f401,plain,
( ! [X0] :
( sP5(sK13(sK27(X0)))
| ~ ordinal(X0)
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f398,f370]) ).
fof(f413,plain,
( ! [X0,X1] :
( sP4(sK27(X0))
| ~ in(X1,sK27(X0))
| sP5(sK21(sK27(X0),X1))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f241,f398]) ).
fof(f411,plain,
( ! [X0,X1] :
( sP0(sK27(X0))
| ~ in(X1,sK27(X0))
| sP5(sK10(sK27(X0),X1))
| ~ ordinal(X0) )
| spl45_1 ),
inference(resolution,[],[f186,f398]) ).
fof(f400,plain,
( ! [X0] :
( sP5(sK22(sK27(X0)))
| ~ ordinal(X0)
| ~ sP4(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f398,f239]) ).
fof(f399,plain,
( ! [X0] :
( sP5(sK11(sK27(X0)))
| ~ ordinal(X0)
| ~ sP0(sK27(X0)) )
| spl45_1 ),
inference(resolution,[],[f398,f184]) ).
fof(f402,plain,
( ! [X0] :
( ordinal(sK9(sK13(sK27(X0))))
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f398,f365]) ).
fof(f406,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP5(sK13(sK27(X0)))
| ordinal(sK9(sK13(sK27(X0)))) )
| spl45_1 ),
inference(resolution,[],[f403,f177]) ).
fof(f405,plain,
( ! [X0] :
( ~ ordinal(X0)
| sP5(sK13(sK27(X0)))
| sK13(sK27(X0)) = sK9(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f403,f178]) ).
fof(f403,plain,
( ! [X0] :
( sP1(sK13(sK27(X0)),sK12)
| ~ ordinal(X0)
| sP5(sK13(sK27(X0))) )
| spl45_1 ),
inference(resolution,[],[f398,f190]) ).
fof(f398,plain,
( ! [X2,X0] :
( ~ in(X2,sK27(X0))
| sP5(X2)
| ~ ordinal(X0) )
| spl45_1 ),
inference(subsumption_resolution,[],[f254,f340]) ).
fof(f672,plain,
( ! [X0,X1] :
( ~ in(succ(X1),sK28(X1,X0))
| ~ ordinal(X1)
| ~ in(X0,sK27(X1)) )
| spl45_1 ),
inference(resolution,[],[f667,f288]) ).
fof(f2810,plain,
~ spl45_95,
inference(avatar_contradiction_clause,[],[f2809]) ).
fof(f2809,plain,
( $false
| ~ spl45_95 ),
inference(subsumption_resolution,[],[f2808,f208]) ).
fof(f2808,plain,
( empty(powerset(sK13(sK27(sK35))))
| ~ spl45_95 ),
inference(subsumption_resolution,[],[f2806,f192]) ).
fof(f2806,plain,
( ~ empty(empty_set)
| empty(powerset(sK13(sK27(sK35))))
| ~ spl45_95 ),
inference(superposition,[],[f212,f2656]) ).
fof(f2656,plain,
( empty_set = sK15(powerset(sK13(sK27(sK35))))
| ~ spl45_95 ),
inference(avatar_component_clause,[],[f2654]) ).
fof(f2654,plain,
( spl45_95
<=> empty_set = sK15(powerset(sK13(sK27(sK35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_95])]) ).
fof(f2764,plain,
( ~ spl45_28
| spl45_29
| spl45_72 ),
inference(avatar_contradiction_clause,[],[f2763]) ).
fof(f2763,plain,
( $false
| ~ spl45_28
| spl45_29
| spl45_72 ),
inference(subsumption_resolution,[],[f2762,f2007]) ).
fof(f2762,plain,
( in(sK13(sK27(sK35)),sK27(sK35))
| ~ spl45_28
| spl45_29 ),
inference(subsumption_resolution,[],[f2746,f1027]) ).
fof(f1027,plain,
( ~ sP5(sK13(sK27(sK35)))
| spl45_29 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f2746,plain,
( sP5(sK13(sK27(sK35)))
| in(sK13(sK27(sK35)),sK27(sK35))
| ~ spl45_28 ),
inference(superposition,[],[f1121,f1018]) ).
fof(f1018,plain,
( sK13(sK27(sK35)) = sK9(sK13(sK27(sK35)))
| ~ spl45_28 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1016,plain,
( spl45_28
<=> sK13(sK27(sK35)) = sK9(sK13(sK27(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_28])]) ).
fof(f2761,plain,
( spl45_1
| ~ spl45_28
| spl45_29 ),
inference(avatar_contradiction_clause,[],[f2760]) ).
fof(f2760,plain,
( $false
| spl45_1
| ~ spl45_28
| spl45_29 ),
inference(subsumption_resolution,[],[f2759,f298]) ).
fof(f2759,plain,
( ~ ordinal(sK35)
| spl45_1
| ~ spl45_28
| spl45_29 ),
inference(subsumption_resolution,[],[f2754,f1027]) ).
fof(f2754,plain,
( sP5(sK13(sK27(sK35)))
| ~ ordinal(sK35)
| spl45_1
| ~ spl45_28 ),
inference(duplicate_literal_removal,[],[f2742]) ).
fof(f2742,plain,
( sP5(sK13(sK27(sK35)))
| ~ ordinal(sK35)
| sP5(sK13(sK27(sK35)))
| spl45_1
| ~ spl45_28 ),
inference(superposition,[],[f1122,f1018]) ).
fof(f2756,plain,
( ~ spl45_28
| spl45_29
| spl45_72 ),
inference(avatar_contradiction_clause,[],[f2755]) ).
fof(f2755,plain,
( $false
| ~ spl45_28
| spl45_29
| spl45_72 ),
inference(subsumption_resolution,[],[f2739,f1027]) ).
fof(f2739,plain,
( sP5(sK13(sK27(sK35)))
| ~ spl45_28
| spl45_72 ),
inference(superposition,[],[f2067,f1018]) ).
fof(f2666,plain,
( spl45_1
| spl45_29
| ~ spl45_72 ),
inference(avatar_contradiction_clause,[],[f2665]) ).
fof(f2665,plain,
( $false
| spl45_1
| spl45_29
| ~ spl45_72 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f468,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f428,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f2006,f2079,f569,f2102,f1769,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f1763,f647,f2632,f2637,f2631,f2619,f2620,f2621,f2622,f2623,f2624,f2625,f2626,f2627,f2628,f2638,f2658,f1764,f2659,f2662,f1027]) ).
fof(f2662,plain,
( sP5(sK13(sK27(sK35)))
| spl45_1
| ~ spl45_72 ),
inference(subsumption_resolution,[],[f2078,f298]) ).
fof(f2078,plain,
( sP5(sK13(sK27(sK35)))
| ~ ordinal(sK35)
| spl45_1
| ~ spl45_72 ),
inference(resolution,[],[f2006,f610]) ).
fof(f2659,plain,
( sK13(sK27(sK35)) = sK28(sK35,sK13(sK27(sK35)))
| spl45_1
| ~ spl45_72 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f468,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f428,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f2006,f2079,f569,f2102,f1769,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f1763,f647,f2632,f2637,f2631,f2619,f2620,f2621,f2622,f2623,f2624,f2625,f2626,f2627,f2628,f2638,f2658,f1764]) ).
fof(f2658,plain,
( sK13(sK27(sK35)) = sK28(sK35,sK13(sK27(sK35)))
| spl45_1
| ~ spl45_72 ),
inference(subsumption_resolution,[],[f2077,f298]) ).
fof(f2077,plain,
( sK13(sK27(sK35)) = sK28(sK35,sK13(sK27(sK35)))
| ~ ordinal(sK35)
| spl45_1
| ~ spl45_72 ),
inference(resolution,[],[f2006,f635]) ).
fof(f2637,plain,
( sP0(sK27(sK35))
| sK10(sK27(sK35),sK13(sK27(sK35))) = sK28(sK35,sK10(sK27(sK35),sK13(sK27(sK35))))
| spl45_1
| ~ spl45_72 ),
inference(subsumption_resolution,[],[f2616,f298]) ).
fof(f2616,plain,
( ~ ordinal(sK35)
| sP0(sK27(sK35))
| sK10(sK27(sK35),sK13(sK27(sK35))) = sK28(sK35,sK10(sK27(sK35),sK13(sK27(sK35))))
| spl45_1
| ~ spl45_72 ),
inference(resolution,[],[f647,f2006]) ).
fof(f2079,plain,
( ~ in(sK27(sK35),sK13(sK27(sK35)))
| ~ spl45_72 ),
inference(resolution,[],[f2006,f288]) ).
fof(f2664,plain,
( spl45_1
| spl45_29
| ~ spl45_72 ),
inference(avatar_contradiction_clause,[],[f2663]) ).
fof(f2663,plain,
( $false
| spl45_1
| spl45_29
| ~ spl45_72 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f468,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f1027,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f428,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f2006,f2079,f569,f2102,f1769,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f1763,f647,f2632,f2637,f2631,f2619,f2620,f2621,f2622,f2623,f2624,f2625,f2626,f2627,f2628,f2638,f2658,f1764,f2659,f2662]) ).
fof(f2661,plain,
( spl45_27
| ~ spl45_29 ),
inference(avatar_contradiction_clause,[],[f2660]) ).
fof(f2660,plain,
( $false
| spl45_27
| ~ spl45_29 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f386,f186,f187,f188,f241,f242,f243,f331,f410,f412,f414,f415,f416,f325,f427,f432,f435,f328,f437,f442,f445,f409,f185,f240,f326,f463,f468,f471,f327,f513,f514,f521,f519,f520,f434,f444,f523,f470,f234,f567,f333,f252,f253,f254,f231,f229,f227,f230,f573,f625,f636,f639,f654,f179,f724,f728,f740,f741,f742,f743,f731,f571,f246,f794,f795,f789,f790,f793,f796,f250,f858,f859,f852,f853,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f857,f1026,f451,f1062,f1063,f452,f1106,f1107,f1110,f1111,f455,f1196,f1197,f1200,f1121,f1214,f1215,f1216,f1217,f1212,f456,f1226,f1227,f1210,f1245,f1246,f1247,f1248,f1243,f1209,f1291,f1292,f1293,f1294,f1289,f431,f441,f1490,f1493,f1489,f467,f428,f1208,f1582,f1583,f1584,f1585,f1580,f1009,f433,f1207,f1645,f1646,f1647,f1648,f1643,f438,f1661,f1663,f1664,f623,f658,f1666,f1668,f1686,f522,f1734,f1735,f1736,f443,f1786,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f569,f2102,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f1680,f1040,f1039,f1038,f1037,f1013]) ).
fof(f1013,plain,
( sK13(sK27(sK35)) != sK20(sK13(sK27(sK35)))
| spl45_27 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1012,plain,
( spl45_27
<=> sK13(sK27(sK35)) = sK20(sK13(sK27(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_27])]) ).
fof(f2657,plain,
( spl45_94
| spl45_95
| ~ spl45_27
| ~ spl45_29
| ~ spl45_75 ),
inference(avatar_split_clause,[],[f2135,f2096,f1025,f1012,f2654,f2650]) ).
fof(f2650,plain,
( spl45_94
<=> sP4(sK15(powerset(sK13(sK27(sK35))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_94])]) ).
fof(f2135,plain,
( empty_set = sK15(powerset(sK13(sK27(sK35))))
| sP4(sK15(powerset(sK13(sK27(sK35)))))
| ~ spl45_27
| ~ spl45_29
| ~ spl45_75 ),
inference(subsumption_resolution,[],[f2134,f2098]) ).
fof(f2098,plain,
( in(sK13(sK27(sK35)),omega)
| ~ spl45_75 ),
inference(avatar_component_clause,[],[f2096]) ).
fof(f2134,plain,
( ~ in(sK13(sK27(sK35)),omega)
| empty_set = sK15(powerset(sK13(sK27(sK35))))
| sP4(sK15(powerset(sK13(sK27(sK35)))))
| ~ spl45_27
| ~ spl45_29 ),
inference(forward_demodulation,[],[f2133,f1014]) ).
fof(f1014,plain,
( sK13(sK27(sK35)) = sK20(sK13(sK27(sK35)))
| ~ spl45_27 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f2133,plain,
( empty_set = sK15(powerset(sK13(sK27(sK35))))
| sP4(sK15(powerset(sK13(sK27(sK35)))))
| ~ in(sK20(sK13(sK27(sK35))),omega)
| ~ spl45_27
| ~ spl45_29 ),
inference(forward_demodulation,[],[f2132,f1014]) ).
fof(f2132,plain,
( sP4(sK15(powerset(sK13(sK27(sK35)))))
| empty_set = sK15(powerset(sK20(sK13(sK27(sK35)))))
| ~ in(sK20(sK13(sK27(sK35))),omega)
| ~ spl45_27
| ~ spl45_29 ),
inference(subsumption_resolution,[],[f2109,f1026]) ).
fof(f2109,plain,
( sP4(sK15(powerset(sK13(sK27(sK35)))))
| empty_set = sK15(powerset(sK20(sK13(sK27(sK35)))))
| ~ in(sK20(sK13(sK27(sK35))),omega)
| ~ sP5(sK13(sK27(sK35)))
| ~ spl45_27 ),
inference(superposition,[],[f569,f1014]) ).
fof(f2647,plain,
( spl45_92
| spl45_93
| ~ spl45_15
| ~ spl45_17
| ~ spl45_57 ),
inference(avatar_split_clause,[],[f2127,f1610,f922,f889,f2644,f2640]) ).
fof(f2640,plain,
( spl45_92
<=> sP4(sK15(powerset(sK13(sK27(sK12))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_92])]) ).
fof(f2644,plain,
( spl45_93
<=> empty_set = sK15(powerset(sK13(sK27(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_93])]) ).
fof(f2127,plain,
( empty_set = sK15(powerset(sK13(sK27(sK12))))
| sP4(sK15(powerset(sK13(sK27(sK12)))))
| ~ spl45_15
| ~ spl45_17
| ~ spl45_57 ),
inference(subsumption_resolution,[],[f2126,f1611]) ).
fof(f1611,plain,
( in(sK13(sK27(sK12)),omega)
| ~ spl45_57 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f2126,plain,
( ~ in(sK13(sK27(sK12)),omega)
| empty_set = sK15(powerset(sK13(sK27(sK12))))
| sP4(sK15(powerset(sK13(sK27(sK12)))))
| ~ spl45_15
| ~ spl45_17 ),
inference(forward_demodulation,[],[f2125,f891]) ).
fof(f2125,plain,
( empty_set = sK15(powerset(sK13(sK27(sK12))))
| sP4(sK15(powerset(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ spl45_15
| ~ spl45_17 ),
inference(forward_demodulation,[],[f2124,f891]) ).
fof(f2124,plain,
( sP4(sK15(powerset(sK13(sK27(sK12)))))
| empty_set = sK15(powerset(sK20(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ spl45_15
| ~ spl45_17 ),
inference(subsumption_resolution,[],[f2106,f924]) ).
fof(f2106,plain,
( sP4(sK15(powerset(sK13(sK27(sK12)))))
| empty_set = sK15(powerset(sK20(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ sP5(sK13(sK27(sK12)))
| ~ spl45_15 ),
inference(superposition,[],[f569,f891]) ).
fof(f2599,plain,
( spl45_1
| ~ spl45_26
| ~ spl45_68
| spl45_70
| spl45_71 ),
inference(avatar_contradiction_clause,[],[f2598]) ).
fof(f2598,plain,
( $false
| spl45_1
| ~ spl45_26
| ~ spl45_68
| spl45_70
| spl45_71 ),
inference(subsumption_resolution,[],[f2597,f1994]) ).
fof(f1994,plain,
( ~ sP1(sK13(sK27(sK32)),sK32)
| spl45_70 ),
inference(avatar_component_clause,[],[f1993]) ).
fof(f1993,plain,
( spl45_70
<=> sP1(sK13(sK27(sK32)),sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_70])]) ).
fof(f2597,plain,
( sP1(sK13(sK27(sK32)),sK32)
| spl45_1
| ~ spl45_26
| ~ spl45_68
| spl45_71 ),
inference(subsumption_resolution,[],[f2596,f993]) ).
fof(f993,plain,
( ordinal(sK13(sK27(sK32)))
| ~ spl45_26 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f991,plain,
( spl45_26
<=> ordinal(sK13(sK27(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_26])]) ).
fof(f2596,plain,
( ~ ordinal(sK13(sK27(sK32)))
| sP1(sK13(sK27(sK32)),sK32)
| spl45_1
| ~ spl45_68
| spl45_71 ),
inference(subsumption_resolution,[],[f2589,f1998]) ).
fof(f1998,plain,
( ~ in(sK13(sK27(sK32)),omega)
| spl45_71 ),
inference(avatar_component_clause,[],[f1997]) ).
fof(f1997,plain,
( spl45_71
<=> in(sK13(sK27(sK32)),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_71])]) ).
fof(f2589,plain,
( in(sK13(sK27(sK32)),omega)
| ~ ordinal(sK13(sK27(sK32)))
| sP1(sK13(sK27(sK32)),sK32)
| spl45_1
| ~ spl45_68 ),
inference(resolution,[],[f2585,f328]) ).
fof(f2585,plain,
( in(sK13(sK27(sK32)),succ(sK32))
| spl45_1
| ~ spl45_68 ),
inference(subsumption_resolution,[],[f2584,f349]) ).
fof(f2584,plain,
( in(sK13(sK27(sK32)),succ(sK32))
| ~ ordinal(sK32)
| spl45_1
| ~ spl45_68 ),
inference(subsumption_resolution,[],[f2583,f1908]) ).
fof(f1908,plain,
( in(sK13(sK27(sK32)),sK27(sK32))
| ~ spl45_68 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f1907,plain,
( spl45_68
<=> in(sK13(sK27(sK32)),sK27(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_68])]) ).
fof(f2583,plain,
( in(sK13(sK27(sK32)),succ(sK32))
| ~ in(sK13(sK27(sK32)),sK27(sK32))
| ~ ordinal(sK32)
| spl45_1
| ~ spl45_68 ),
inference(superposition,[],[f667,f2564]) ).
fof(f2564,plain,
( sK13(sK27(sK32)) = sK28(sK32,sK13(sK27(sK32)))
| spl45_1
| ~ spl45_68 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f468,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f647,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f428,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f1908,f1933,f561,f1934,f568,f2013,f569,f2102,f1769,f464,f469,f719,f2300,f720,f2389,f725,f2442,f726,f2499,f518,f2548,f2549,f2550,f2563,f1763]) ).
fof(f2563,plain,
( sK13(sK27(sK32)) = sK28(sK32,sK13(sK27(sK32)))
| spl45_1
| ~ spl45_68 ),
inference(subsumption_resolution,[],[f1931,f349]) ).
fof(f1931,plain,
( sK13(sK27(sK32)) = sK28(sK32,sK13(sK27(sK32)))
| ~ ordinal(sK32)
| spl45_1
| ~ spl45_68 ),
inference(resolution,[],[f1908,f635]) ).
fof(f1933,plain,
( ~ in(sK27(sK32),sK13(sK27(sK32)))
| ~ spl45_68 ),
inference(resolution,[],[f1908,f288]) ).
fof(f2562,plain,
~ spl45_91,
inference(avatar_contradiction_clause,[],[f2561]) ).
fof(f2561,plain,
( $false
| ~ spl45_91 ),
inference(subsumption_resolution,[],[f2560,f208]) ).
fof(f2560,plain,
( empty(powerset(sK13(sK27(sK32))))
| ~ spl45_91 ),
inference(subsumption_resolution,[],[f2558,f192]) ).
fof(f2558,plain,
( ~ empty(empty_set)
| empty(powerset(sK13(sK27(sK32))))
| ~ spl45_91 ),
inference(superposition,[],[f210,f2546]) ).
fof(f2546,plain,
( empty_set = sK14(powerset(sK13(sK27(sK32))))
| ~ spl45_91 ),
inference(avatar_component_clause,[],[f2544]) ).
fof(f2544,plain,
( spl45_91
<=> empty_set = sK14(powerset(sK13(sK27(sK32)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_91])]) ).
fof(f2547,plain,
( spl45_90
| spl45_91
| ~ spl45_23
| ~ spl45_25
| ~ spl45_71 ),
inference(avatar_split_clause,[],[f2042,f1997,f987,f974,f2544,f2540]) ).
fof(f2540,plain,
( spl45_90
<=> sP4(sK14(powerset(sK13(sK27(sK32))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_90])]) ).
fof(f974,plain,
( spl45_23
<=> sK13(sK27(sK32)) = sK20(sK13(sK27(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_23])]) ).
fof(f987,plain,
( spl45_25
<=> sP5(sK13(sK27(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_25])]) ).
fof(f2042,plain,
( empty_set = sK14(powerset(sK13(sK27(sK32))))
| sP4(sK14(powerset(sK13(sK27(sK32)))))
| ~ spl45_23
| ~ spl45_25
| ~ spl45_71 ),
inference(subsumption_resolution,[],[f2041,f1999]) ).
fof(f1999,plain,
( in(sK13(sK27(sK32)),omega)
| ~ spl45_71 ),
inference(avatar_component_clause,[],[f1997]) ).
fof(f2041,plain,
( ~ in(sK13(sK27(sK32)),omega)
| empty_set = sK14(powerset(sK13(sK27(sK32))))
| sP4(sK14(powerset(sK13(sK27(sK32)))))
| ~ spl45_23
| ~ spl45_25 ),
inference(forward_demodulation,[],[f2040,f976]) ).
fof(f976,plain,
( sK13(sK27(sK32)) = sK20(sK13(sK27(sK32)))
| ~ spl45_23 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f2040,plain,
( empty_set = sK14(powerset(sK13(sK27(sK32))))
| sP4(sK14(powerset(sK13(sK27(sK32)))))
| ~ in(sK20(sK13(sK27(sK32))),omega)
| ~ spl45_23
| ~ spl45_25 ),
inference(forward_demodulation,[],[f2039,f976]) ).
fof(f2039,plain,
( sP4(sK14(powerset(sK13(sK27(sK32)))))
| empty_set = sK14(powerset(sK20(sK13(sK27(sK32)))))
| ~ in(sK20(sK13(sK27(sK32))),omega)
| ~ spl45_23
| ~ spl45_25 ),
inference(subsumption_resolution,[],[f2019,f988]) ).
fof(f988,plain,
( sP5(sK13(sK27(sK32)))
| ~ spl45_25 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f2019,plain,
( sP4(sK14(powerset(sK13(sK27(sK32)))))
| empty_set = sK14(powerset(sK20(sK13(sK27(sK32)))))
| ~ in(sK20(sK13(sK27(sK32))),omega)
| ~ sP5(sK13(sK27(sK32)))
| ~ spl45_23 ),
inference(superposition,[],[f568,f976]) ).
fof(f2537,plain,
~ spl45_89,
inference(avatar_contradiction_clause,[],[f2536]) ).
fof(f2536,plain,
( $false
| ~ spl45_89 ),
inference(subsumption_resolution,[],[f2535,f208]) ).
fof(f2535,plain,
( empty(powerset(sK13(sK27(sK12))))
| ~ spl45_89 ),
inference(subsumption_resolution,[],[f2534,f192]) ).
fof(f2534,plain,
( ~ empty(empty_set)
| empty(powerset(sK13(sK27(sK12))))
| ~ spl45_89 ),
inference(superposition,[],[f210,f2525]) ).
fof(f2525,plain,
( empty_set = sK14(powerset(sK13(sK27(sK12))))
| ~ spl45_89 ),
inference(avatar_component_clause,[],[f2523]) ).
fof(f2523,plain,
( spl45_89
<=> empty_set = sK14(powerset(sK13(sK27(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_89])]) ).
fof(f2526,plain,
( spl45_88
| spl45_89
| ~ spl45_15
| ~ spl45_17
| ~ spl45_57 ),
inference(avatar_split_clause,[],[f2038,f1610,f922,f889,f2523,f2519]) ).
fof(f2519,plain,
( spl45_88
<=> sP4(sK14(powerset(sK13(sK27(sK12))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_88])]) ).
fof(f2038,plain,
( empty_set = sK14(powerset(sK13(sK27(sK12))))
| sP4(sK14(powerset(sK13(sK27(sK12)))))
| ~ spl45_15
| ~ spl45_17
| ~ spl45_57 ),
inference(subsumption_resolution,[],[f2037,f1611]) ).
fof(f2037,plain,
( ~ in(sK13(sK27(sK12)),omega)
| empty_set = sK14(powerset(sK13(sK27(sK12))))
| sP4(sK14(powerset(sK13(sK27(sK12)))))
| ~ spl45_15
| ~ spl45_17 ),
inference(forward_demodulation,[],[f2036,f891]) ).
fof(f2036,plain,
( empty_set = sK14(powerset(sK13(sK27(sK12))))
| sP4(sK14(powerset(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ spl45_15
| ~ spl45_17 ),
inference(forward_demodulation,[],[f2035,f891]) ).
fof(f2035,plain,
( sP4(sK14(powerset(sK13(sK27(sK12)))))
| empty_set = sK14(powerset(sK20(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ spl45_15
| ~ spl45_17 ),
inference(subsumption_resolution,[],[f2017,f924]) ).
fof(f2017,plain,
( sP4(sK14(powerset(sK13(sK27(sK12)))))
| empty_set = sK14(powerset(sK20(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ sP5(sK13(sK27(sK12)))
| ~ spl45_15 ),
inference(superposition,[],[f568,f891]) ).
fof(f2489,plain,
( spl45_86
| spl45_87
| ~ spl45_15
| ~ spl45_17
| ~ spl45_57 ),
inference(avatar_split_clause,[],[f1959,f1610,f922,f889,f2486,f2482]) ).
fof(f2482,plain,
( spl45_86
<=> sP4(sK30(powerset(sK13(sK27(sK12))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_86])]) ).
fof(f2486,plain,
( spl45_87
<=> empty_set = sK30(powerset(sK13(sK27(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_87])]) ).
fof(f1959,plain,
( empty_set = sK30(powerset(sK13(sK27(sK12))))
| sP4(sK30(powerset(sK13(sK27(sK12)))))
| ~ spl45_15
| ~ spl45_17
| ~ spl45_57 ),
inference(subsumption_resolution,[],[f1958,f1611]) ).
fof(f1958,plain,
( ~ in(sK13(sK27(sK12)),omega)
| empty_set = sK30(powerset(sK13(sK27(sK12))))
| sP4(sK30(powerset(sK13(sK27(sK12)))))
| ~ spl45_15
| ~ spl45_17 ),
inference(forward_demodulation,[],[f1957,f891]) ).
fof(f1957,plain,
( empty_set = sK30(powerset(sK13(sK27(sK12))))
| sP4(sK30(powerset(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ spl45_15
| ~ spl45_17 ),
inference(forward_demodulation,[],[f1956,f891]) ).
fof(f1956,plain,
( sP4(sK30(powerset(sK13(sK27(sK12)))))
| empty_set = sK30(powerset(sK20(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ spl45_15
| ~ spl45_17 ),
inference(subsumption_resolution,[],[f1938,f924]) ).
fof(f1938,plain,
( sP4(sK30(powerset(sK13(sK27(sK12)))))
| empty_set = sK30(powerset(sK20(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ sP5(sK13(sK27(sK12)))
| ~ spl45_15 ),
inference(superposition,[],[f561,f891]) ).
fof(f2467,plain,
( spl45_84
| spl45_85
| ~ spl45_15
| ~ spl45_17
| ~ spl45_57 ),
inference(avatar_split_clause,[],[f1871,f1610,f922,f889,f2464,f2460]) ).
fof(f2460,plain,
( spl45_84
<=> sP4(sK29(powerset(sK13(sK27(sK12))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_84])]) ).
fof(f2464,plain,
( spl45_85
<=> empty_set = sK29(powerset(sK13(sK27(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_85])]) ).
fof(f1871,plain,
( empty_set = sK29(powerset(sK13(sK27(sK12))))
| sP4(sK29(powerset(sK13(sK27(sK12)))))
| ~ spl45_15
| ~ spl45_17
| ~ spl45_57 ),
inference(subsumption_resolution,[],[f1870,f1611]) ).
fof(f1870,plain,
( ~ in(sK13(sK27(sK12)),omega)
| empty_set = sK29(powerset(sK13(sK27(sK12))))
| sP4(sK29(powerset(sK13(sK27(sK12)))))
| ~ spl45_15
| ~ spl45_17 ),
inference(forward_demodulation,[],[f1869,f891]) ).
fof(f1869,plain,
( empty_set = sK29(powerset(sK13(sK27(sK12))))
| sP4(sK29(powerset(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ spl45_15
| ~ spl45_17 ),
inference(forward_demodulation,[],[f1868,f891]) ).
fof(f1868,plain,
( sP4(sK29(powerset(sK13(sK27(sK12)))))
| empty_set = sK29(powerset(sK20(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ spl45_15
| ~ spl45_17 ),
inference(subsumption_resolution,[],[f1850,f924]) ).
fof(f1850,plain,
( sP4(sK29(powerset(sK13(sK27(sK12)))))
| empty_set = sK29(powerset(sK20(sK13(sK27(sK12)))))
| ~ in(sK20(sK13(sK27(sK12))),omega)
| ~ sP5(sK13(sK27(sK12)))
| ~ spl45_15 ),
inference(superposition,[],[f560,f891]) ).
fof(f2429,plain,
( spl45_1
| ~ spl45_54
| spl45_76
| spl45_82 ),
inference(avatar_contradiction_clause,[],[f2428]) ).
fof(f2428,plain,
( $false
| spl45_1
| ~ spl45_54
| spl45_76
| spl45_82 ),
inference(subsumption_resolution,[],[f2427,f2162]) ).
fof(f2162,plain,
( sP1(sK13(sK27(sK44)),sK12)
| spl45_76 ),
inference(resolution,[],[f2155,f190]) ).
fof(f2155,plain,
( ~ in(sK13(sK27(sK44)),sK27(sK44))
| spl45_76 ),
inference(avatar_component_clause,[],[f2153]) ).
fof(f2153,plain,
( spl45_76
<=> in(sK13(sK27(sK44)),sK27(sK44)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_76])]) ).
fof(f2427,plain,
( ~ sP1(sK13(sK27(sK44)),sK12)
| spl45_1
| ~ spl45_54
| spl45_82 ),
inference(resolution,[],[f2426,f176]) ).
fof(f2426,plain,
( ~ in(sK13(sK27(sK44)),succ(sK12))
| spl45_1
| ~ spl45_54
| spl45_82 ),
inference(subsumption_resolution,[],[f2425,f189]) ).
fof(f2425,plain,
( ~ in(sK13(sK27(sK44)),succ(sK12))
| ~ ordinal(sK12)
| spl45_1
| ~ spl45_54
| spl45_82 ),
inference(subsumption_resolution,[],[f2424,f1557]) ).
fof(f2424,plain,
( ~ sP5(sK13(sK27(sK44)))
| ~ in(sK13(sK27(sK44)),succ(sK12))
| ~ ordinal(sK12)
| spl45_1
| spl45_82 ),
inference(resolution,[],[f2418,f673]) ).
fof(f2418,plain,
( ~ in(sK13(sK27(sK44)),sK27(sK12))
| spl45_82 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f2416,plain,
( spl45_82
<=> in(sK13(sK27(sK44)),sK27(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_82])]) ).
fof(f2423,plain,
( ~ spl45_82
| ~ spl45_83
| spl45_1
| ~ spl45_54
| spl45_76 ),
inference(avatar_split_clause,[],[f2379,f2153,f1556,f338,f2420,f2416]) ).
fof(f2420,plain,
( spl45_83
<=> in(succ(sK12),sK13(sK27(sK44))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_83])]) ).
fof(f2379,plain,
( ~ in(succ(sK12),sK13(sK27(sK44)))
| ~ in(sK13(sK27(sK44)),sK27(sK12))
| spl45_1
| ~ spl45_54
| spl45_76 ),
inference(subsumption_resolution,[],[f2377,f189]) ).
fof(f2377,plain,
( ~ in(succ(sK12),sK13(sK27(sK44)))
| ~ ordinal(sK12)
| ~ in(sK13(sK27(sK44)),sK27(sK12))
| spl45_1
| ~ spl45_54
| spl45_76 ),
inference(superposition,[],[f672,f2362]) ).
fof(f2362,plain,
( sK13(sK27(sK44)) = sK28(sK12,sK13(sK27(sK44)))
| spl45_1
| ~ spl45_54
| spl45_76 ),
inference(subsumption_resolution,[],[f2352,f1557]) ).
fof(f2352,plain,
( ~ sP5(sK13(sK27(sK44)))
| sK13(sK27(sK44)) = sK28(sK12,sK13(sK27(sK44)))
| spl45_1
| spl45_76 ),
inference(resolution,[],[f2155,f704]) ).
fof(f2328,plain,
( spl45_1
| ~ spl45_52
| ~ spl45_54
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(avatar_contradiction_clause,[],[f2327]) ).
fof(f2327,plain,
( $false
| spl45_1
| ~ spl45_52
| ~ spl45_54
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(subsumption_resolution,[],[f2326,f2269]) ).
fof(f2269,plain,
( ~ sP0(sK8(sK13(sK27(sK44))))
| spl45_1
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(subsumption_resolution,[],[f2268,f2193]) ).
fof(f2193,plain,
( ~ sP1(sK13(sK27(sK44)),sK44)
| spl45_78 ),
inference(avatar_component_clause,[],[f2192]) ).
fof(f2192,plain,
( spl45_78
<=> sP1(sK13(sK27(sK44)),sK44) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_78])]) ).
fof(f2268,plain,
( ~ sP0(sK8(sK13(sK27(sK44))))
| sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| ~ spl45_55
| ~ spl45_76 ),
inference(subsumption_resolution,[],[f2258,f1562]) ).
fof(f1562,plain,
( ordinal(sK13(sK27(sK44)))
| ~ spl45_55 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1560,plain,
( spl45_55
<=> ordinal(sK13(sK27(sK44))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_55])]) ).
fof(f2258,plain,
( ~ sP0(sK8(sK13(sK27(sK44))))
| ~ ordinal(sK13(sK27(sK44)))
| sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| ~ spl45_76 ),
inference(resolution,[],[f2253,f325]) ).
fof(f2253,plain,
( in(sK13(sK27(sK44)),succ(sK44))
| spl45_1
| ~ spl45_76 ),
inference(subsumption_resolution,[],[f2252,f324]) ).
fof(f2252,plain,
( in(sK13(sK27(sK44)),succ(sK44))
| ~ ordinal(sK44)
| spl45_1
| ~ spl45_76 ),
inference(subsumption_resolution,[],[f2251,f2154]) ).
fof(f2154,plain,
( in(sK13(sK27(sK44)),sK27(sK44))
| ~ spl45_76 ),
inference(avatar_component_clause,[],[f2153]) ).
fof(f2251,plain,
( in(sK13(sK27(sK44)),succ(sK44))
| ~ in(sK13(sK27(sK44)),sK27(sK44))
| ~ ordinal(sK44)
| spl45_1
| ~ spl45_76 ),
inference(superposition,[],[f667,f2201]) ).
fof(f2201,plain,
( sK13(sK27(sK44)) = sK28(sK44,sK13(sK27(sK44)))
| spl45_1
| ~ spl45_76 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f464,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f647,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f725,f726,f719,f720,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f428,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f569,f2102,f2154,f2179,f2200,f1769]) ).
fof(f2200,plain,
( sK13(sK27(sK44)) = sK28(sK44,sK13(sK27(sK44)))
| spl45_1
| ~ spl45_76 ),
inference(subsumption_resolution,[],[f2177,f324]) ).
fof(f2177,plain,
( sK13(sK27(sK44)) = sK28(sK44,sK13(sK27(sK44)))
| ~ ordinal(sK44)
| spl45_1
| ~ spl45_76 ),
inference(resolution,[],[f2154,f635]) ).
fof(f2179,plain,
( ~ in(sK27(sK44),sK13(sK27(sK44)))
| ~ spl45_76 ),
inference(resolution,[],[f2154,f288]) ).
fof(f2326,plain,
( sP0(sK8(sK13(sK27(sK44))))
| spl45_1
| ~ spl45_52
| ~ spl45_54
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(resolution,[],[f2323,f1200]) ).
fof(f2323,plain,
( sP4(sK8(sK13(sK27(sK44))))
| spl45_1
| ~ spl45_52
| ~ spl45_54
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(subsumption_resolution,[],[f2318,f2263]) ).
fof(f2263,plain,
( empty_set != sK8(sK13(sK27(sK44)))
| spl45_1
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(subsumption_resolution,[],[f2262,f2193]) ).
fof(f2262,plain,
( empty_set != sK8(sK13(sK27(sK44)))
| sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| ~ spl45_55
| ~ spl45_76 ),
inference(subsumption_resolution,[],[f2256,f1562]) ).
fof(f2256,plain,
( empty_set != sK8(sK13(sK27(sK44)))
| ~ ordinal(sK13(sK27(sK44)))
| sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| ~ spl45_76 ),
inference(resolution,[],[f2253,f326]) ).
fof(f2318,plain,
( empty_set = sK8(sK13(sK27(sK44)))
| sP4(sK8(sK13(sK27(sK44))))
| spl45_1
| ~ spl45_52
| ~ spl45_54
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(resolution,[],[f2277,f2261]) ).
fof(f2261,plain,
( element(sK8(sK13(sK27(sK44))),powerset(powerset(sK13(sK27(sK44)))))
| spl45_1
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(subsumption_resolution,[],[f2260,f2193]) ).
fof(f2260,plain,
( element(sK8(sK13(sK27(sK44))),powerset(powerset(sK13(sK27(sK44)))))
| sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| ~ spl45_55
| ~ spl45_76 ),
inference(subsumption_resolution,[],[f2255,f1562]) ).
fof(f2255,plain,
( element(sK8(sK13(sK27(sK44))),powerset(powerset(sK13(sK27(sK44)))))
| ~ ordinal(sK13(sK27(sK44)))
| sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| ~ spl45_76 ),
inference(resolution,[],[f2253,f327]) ).
fof(f2277,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK44)))))
| empty_set = X0
| sP4(X0) )
| spl45_1
| ~ spl45_52
| ~ spl45_54
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f647,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f725,f726,f719,f720,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f1554,f428,f1578,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f1892,f561,f1934,f1980,f568,f2013,f2060,f569,f2102,f2150,f2154,f2179,f1685,f1571,f1570,f1569,f1568,f2200,f1769,f2204,f1553,f2209,f464,f1557,f2210,f2211,f2212,f2213,f2214,f1562,f2215,f2216,f2193,f1545,f2201,f2253,f2261,f2263,f2269,f2271,f2238,f2273,f2235,f2274,f2232,f2275,f2229,f2276,f2226]) ).
fof(f2226,plain,
( ! [X0] :
( ~ in(sK13(sK27(sK44)),omega)
| ~ element(X0,powerset(powerset(sK13(sK27(sK44)))))
| empty_set = X0
| sP4(X0) )
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2225,f1545]) ).
fof(f2225,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK44)))))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(sK13(sK27(sK44))),omega) )
| ~ spl45_52
| ~ spl45_54 ),
inference(subsumption_resolution,[],[f2219,f1557]) ).
fof(f2219,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK44)))))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ sP5(sK13(sK27(sK44))) )
| ~ spl45_52 ),
inference(superposition,[],[f234,f1545]) ).
fof(f2276,plain,
( empty_set = sK29(powerset(sK13(sK27(sK44))))
| sP4(sK29(powerset(sK13(sK27(sK44)))))
| spl45_1
| ~ spl45_52
| ~ spl45_54
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f647,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f725,f726,f719,f720,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f1554,f428,f1578,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f1892,f561,f1934,f1980,f568,f2013,f2060,f569,f2102,f2150,f2154,f2179,f1685,f1571,f1570,f1569,f1568,f2200,f1769,f2204,f1553,f2209,f464,f1557,f2210,f2211,f2212,f2213,f2214,f1562,f2215,f2216,f2193,f1545,f2201,f2253,f2261,f2263,f2269,f2271,f2238,f2273,f2235,f2274,f2232,f2275,f2229]) ).
fof(f2275,plain,
( empty_set = sK30(powerset(sK13(sK27(sK44))))
| sP4(sK30(powerset(sK13(sK27(sK44)))))
| spl45_1
| ~ spl45_52
| ~ spl45_54
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f647,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f725,f726,f719,f720,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f1554,f428,f1578,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f1892,f561,f1934,f1980,f568,f2013,f2060,f569,f2102,f2150,f2154,f2179,f1685,f1571,f1570,f1569,f1568,f2200,f1769,f2204,f1553,f2209,f464,f1557,f2210,f2211,f2212,f2213,f2214,f1562,f2215,f2216,f2193,f1545,f2201,f2253,f2261,f2263,f2269,f2271,f2238,f2273,f2235,f2274,f2232]) ).
fof(f2274,plain,
( empty_set = sK14(powerset(sK13(sK27(sK44))))
| sP4(sK14(powerset(sK13(sK27(sK44)))))
| spl45_1
| ~ spl45_52
| ~ spl45_54
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f647,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f725,f726,f719,f720,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f1554,f428,f1578,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f1892,f561,f1934,f1980,f568,f2013,f2060,f569,f2102,f2150,f2154,f2179,f1685,f1571,f1570,f1569,f1568,f2200,f1769,f2204,f1553,f2209,f464,f1557,f2210,f2211,f2212,f2213,f2214,f1562,f2215,f2216,f2193,f1545,f2201,f2253,f2261,f2263,f2269,f2271,f2238,f2273,f2235]) ).
fof(f2273,plain,
( empty_set = sK15(powerset(sK13(sK27(sK44))))
| sP4(sK15(powerset(sK13(sK27(sK44)))))
| spl45_1
| ~ spl45_52
| ~ spl45_54
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f647,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f725,f726,f719,f720,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f1554,f428,f1578,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f1892,f561,f1934,f1980,f568,f2013,f2060,f569,f2102,f2150,f2154,f2179,f1685,f1571,f1570,f1569,f1568,f2200,f1769,f2204,f1553,f2209,f464,f1557,f2210,f2211,f2212,f2213,f2214,f1562,f2215,f2216,f2193,f1545,f2201,f2253,f2261,f2263,f2269,f2271,f2238]) ).
fof(f2271,plain,
( in(sK13(sK27(sK44)),omega)
| spl45_1
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(subsumption_resolution,[],[f2270,f2193]) ).
fof(f2270,plain,
( in(sK13(sK27(sK44)),omega)
| sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| ~ spl45_55
| ~ spl45_76 ),
inference(subsumption_resolution,[],[f2257,f1562]) ).
fof(f2257,plain,
( in(sK13(sK27(sK44)),omega)
| ~ ordinal(sK13(sK27(sK44)))
| sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| ~ spl45_76 ),
inference(resolution,[],[f2253,f328]) ).
fof(f2216,plain,
( sK13(sK27(sK13(sK27(sK44)))) = sK9(sK13(sK27(sK13(sK27(sK44)))))
| sK13(sK27(sK13(sK27(sK44)))) = sK20(sK13(sK27(sK13(sK27(sK44)))))
| spl45_1
| ~ spl45_55 ),
inference(resolution,[],[f1562,f646]) ).
fof(f2215,plain,
( sK13(sK27(sK13(sK27(sK44)))) = sK28(sK13(sK27(sK44)),sK13(sK27(sK13(sK27(sK44)))))
| sK13(sK27(sK13(sK27(sK44)))) = sK9(sK13(sK27(sK13(sK27(sK44)))))
| spl45_1
| ~ spl45_55 ),
inference(resolution,[],[f1562,f649]) ).
fof(f2214,plain,
( sK13(sK27(sK44)) = sK20(sK13(sK27(sK44)))
| ~ spl45_54 ),
inference(resolution,[],[f1557,f233]) ).
fof(f2213,plain,
( sK20(sK13(sK27(sK44))) = sK20(sK20(sK13(sK27(sK44))))
| ~ spl45_54 ),
inference(resolution,[],[f1557,f573]) ).
fof(f2212,plain,
( sK20(sK20(sK13(sK27(sK44)))) = sK20(sK20(sK20(sK13(sK27(sK44)))))
| ~ spl45_54 ),
inference(resolution,[],[f1557,f625]) ).
fof(f2211,plain,
( sK20(sK20(sK20(sK13(sK27(sK44))))) = sK20(sK20(sK20(sK20(sK13(sK27(sK44))))))
| ~ spl45_54 ),
inference(resolution,[],[f1557,f639]) ).
fof(f2210,plain,
( sK20(sK20(sK20(sK20(sK13(sK27(sK44)))))) = sK20(sK20(sK20(sK20(sK20(sK13(sK27(sK44)))))))
| ~ spl45_54 ),
inference(resolution,[],[f1557,f658]) ).
fof(f2209,plain,
( ordinal(sK13(sK27(sK44)))
| ~ spl45_52
| ~ spl45_55 ),
inference(global_subsumption,[],[f1553,f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f386,f186,f187,f188,f241,f242,f243,f331,f410,f412,f414,f415,f416,f325,f427,f432,f435,f328,f437,f442,f445,f409,f185,f240,f326,f463,f464,f468,f469,f471,f327,f513,f514,f521,f518,f519,f520,f434,f444,f523,f470,f234,f567,f333,f252,f253,f254,f231,f229,f227,f230,f573,f625,f636,f639,f654,f179,f725,f726,f719,f720,f724,f728,f740,f741,f742,f743,f731,f571,f246,f794,f795,f789,f790,f793,f796,f250,f858,f859,f852,f853,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f857,f451,f1062,f1063,f452,f1106,f1107,f1110,f1111,f455,f1196,f1197,f1200,f1121,f1214,f1215,f1216,f1217,f1212,f456,f1226,f1227,f1210,f1245,f1246,f1247,f1248,f1243,f1209,f1291,f1292,f1293,f1294,f1289,f431,f441,f1490,f1493,f1489,f467,f428,f1208,f1582,f1583,f1584,f1585,f1580,f1009,f433,f1207,f1645,f1646,f1647,f1648,f1643,f438,f1661,f1663,f1664,f623,f658,f1666,f1668,f1686,f522,f1734,f1735,f1736,f443,f1786,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f569,f2102,f1562]) ).
fof(f1553,plain,
( ordinal(sK13(sK27(sK44)))
| ~ sP5(sK13(sK27(sK44)))
| ~ spl45_52 ),
inference(superposition,[],[f232,f1545]) ).
fof(f2204,plain,
( sP5(sK13(sK27(sK44)))
| spl45_1
| ~ spl45_76 ),
inference(subsumption_resolution,[],[f2178,f324]) ).
fof(f2178,plain,
( sP5(sK13(sK27(sK44)))
| ~ ordinal(sK44)
| spl45_1
| ~ spl45_76 ),
inference(resolution,[],[f2154,f610]) ).
fof(f1568,plain,
( sK20(sK20(sK20(sK13(sK27(sK44))))) = sK20(sK20(sK20(sK20(sK13(sK27(sK44))))))
| ~ spl45_54 ),
inference(resolution,[],[f1557,f639]) ).
fof(f1569,plain,
( sK20(sK20(sK13(sK27(sK44)))) = sK20(sK20(sK20(sK13(sK27(sK44)))))
| ~ spl45_54 ),
inference(resolution,[],[f1557,f625]) ).
fof(f1570,plain,
( sK20(sK13(sK27(sK44))) = sK20(sK20(sK13(sK27(sK44))))
| ~ spl45_54 ),
inference(resolution,[],[f1557,f573]) ).
fof(f1571,plain,
( sK13(sK27(sK44)) = sK20(sK13(sK27(sK44)))
| ~ spl45_54 ),
inference(resolution,[],[f1557,f233]) ).
fof(f1685,plain,
( sK20(sK20(sK20(sK20(sK13(sK27(sK44)))))) = sK20(sK20(sK20(sK20(sK20(sK13(sK27(sK44)))))))
| ~ spl45_54 ),
inference(resolution,[],[f658,f1557]) ).
fof(f2150,plain,
( ~ in(sK13(sK27(sK44)),omega)
| empty_set = sK15(powerset(sK13(sK27(sK44))))
| sP4(sK15(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2149,f1545]) ).
fof(f2149,plain,
( empty_set = sK15(powerset(sK13(sK27(sK44))))
| sP4(sK15(powerset(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2148,f1545]) ).
fof(f2148,plain,
( sP4(sK15(powerset(sK13(sK27(sK44)))))
| empty_set = sK15(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(subsumption_resolution,[],[f2114,f1557]) ).
fof(f2114,plain,
( sP4(sK15(powerset(sK13(sK27(sK44)))))
| empty_set = sK15(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ sP5(sK13(sK27(sK44)))
| ~ spl45_52 ),
inference(superposition,[],[f569,f1545]) ).
fof(f2060,plain,
( ~ in(sK13(sK27(sK44)),omega)
| empty_set = sK14(powerset(sK13(sK27(sK44))))
| sP4(sK14(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2059,f1545]) ).
fof(f2059,plain,
( empty_set = sK14(powerset(sK13(sK27(sK44))))
| sP4(sK14(powerset(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f2058,f1545]) ).
fof(f2058,plain,
( sP4(sK14(powerset(sK13(sK27(sK44)))))
| empty_set = sK14(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(subsumption_resolution,[],[f2025,f1557]) ).
fof(f2025,plain,
( sP4(sK14(powerset(sK13(sK27(sK44)))))
| empty_set = sK14(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ sP5(sK13(sK27(sK44)))
| ~ spl45_52 ),
inference(superposition,[],[f568,f1545]) ).
fof(f1980,plain,
( ~ in(sK13(sK27(sK44)),omega)
| empty_set = sK30(powerset(sK13(sK27(sK44))))
| sP4(sK30(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f1979,f1545]) ).
fof(f1979,plain,
( empty_set = sK30(powerset(sK13(sK27(sK44))))
| sP4(sK30(powerset(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f1978,f1545]) ).
fof(f1978,plain,
( sP4(sK30(powerset(sK13(sK27(sK44)))))
| empty_set = sK30(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(subsumption_resolution,[],[f1946,f1557]) ).
fof(f1946,plain,
( sP4(sK30(powerset(sK13(sK27(sK44)))))
| empty_set = sK30(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ sP5(sK13(sK27(sK44)))
| ~ spl45_52 ),
inference(superposition,[],[f561,f1545]) ).
fof(f1892,plain,
( ~ in(sK13(sK27(sK44)),omega)
| empty_set = sK29(powerset(sK13(sK27(sK44))))
| sP4(sK29(powerset(sK13(sK27(sK44)))))
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f1891,f1545]) ).
fof(f1891,plain,
( empty_set = sK29(powerset(sK13(sK27(sK44))))
| sP4(sK29(powerset(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(forward_demodulation,[],[f1890,f1545]) ).
fof(f1890,plain,
( sP4(sK29(powerset(sK13(sK27(sK44)))))
| empty_set = sK29(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ spl45_52
| ~ spl45_54 ),
inference(subsumption_resolution,[],[f1858,f1557]) ).
fof(f1858,plain,
( sP4(sK29(powerset(sK13(sK27(sK44)))))
| empty_set = sK29(powerset(sK20(sK13(sK27(sK44)))))
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ sP5(sK13(sK27(sK44)))
| ~ spl45_52 ),
inference(superposition,[],[f560,f1545]) ).
fof(f1755,plain,
( sK13(sK27(sK13(sK27(sK44)))) = sK28(sK13(sK27(sK44)),sK13(sK27(sK13(sK27(sK44)))))
| sK13(sK27(sK13(sK27(sK44)))) = sK9(sK13(sK27(sK13(sK27(sK44)))))
| spl45_1
| ~ spl45_55 ),
inference(resolution,[],[f649,f1562]) ).
fof(f1578,plain,
( sK13(sK27(sK13(sK27(sK44)))) = sK9(sK13(sK27(sK13(sK27(sK44)))))
| sK13(sK27(sK13(sK27(sK44)))) = sK20(sK13(sK27(sK13(sK27(sK44)))))
| spl45_1
| ~ spl45_55 ),
inference(resolution,[],[f1562,f646]) ).
fof(f1554,plain,
( ! [X0] :
( ~ in(sK13(sK27(sK44)),omega)
| ~ element(X0,powerset(powerset(sK13(sK27(sK44)))))
| empty_set = X0
| sP4(X0)
| ~ sP5(sK13(sK27(sK44))) )
| ~ spl45_52 ),
inference(forward_demodulation,[],[f1552,f1545]) ).
fof(f1552,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK44)))))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(sK13(sK27(sK44))),omega)
| ~ sP5(sK13(sK27(sK44))) )
| ~ spl45_52 ),
inference(superposition,[],[f234,f1545]) ).
fof(f2291,plain,
( ~ spl45_80
| spl45_81
| spl45_1
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(avatar_split_clause,[],[f2279,f2192,f2153,f1560,f338,f2288,f2284]) ).
fof(f2284,plain,
( spl45_80
<=> ordinal(powerset(powerset(sK13(sK27(sK44))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_80])]) ).
fof(f2288,plain,
( spl45_81
<=> ordinal(sK8(sK13(sK27(sK44)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_81])]) ).
fof(f2279,plain,
( ordinal(sK8(sK13(sK27(sK44))))
| ~ ordinal(powerset(powerset(sK13(sK27(sK44)))))
| spl45_1
| ~ spl45_55
| ~ spl45_76
| spl45_78 ),
inference(resolution,[],[f2261,f258]) ).
fof(f2267,plain,
( spl45_1
| ~ spl45_55
| ~ spl45_76
| spl45_78
| spl45_79 ),
inference(avatar_contradiction_clause,[],[f2266]) ).
fof(f2266,plain,
( $false
| spl45_1
| ~ spl45_55
| ~ spl45_76
| spl45_78
| spl45_79 ),
inference(subsumption_resolution,[],[f2265,f2193]) ).
fof(f2265,plain,
( sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| ~ spl45_55
| ~ spl45_76
| spl45_79 ),
inference(subsumption_resolution,[],[f2264,f1562]) ).
fof(f2264,plain,
( ~ ordinal(sK13(sK27(sK44)))
| sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| ~ spl45_76
| spl45_79 ),
inference(subsumption_resolution,[],[f2257,f2197]) ).
fof(f2197,plain,
( ~ in(sK13(sK27(sK44)),omega)
| spl45_79 ),
inference(avatar_component_clause,[],[f2196]) ).
fof(f2208,plain,
( spl45_1
| spl45_54
| ~ spl45_76 ),
inference(avatar_contradiction_clause,[],[f2207]) ).
fof(f2207,plain,
( $false
| spl45_1
| spl45_54
| ~ spl45_76 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f464,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f647,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f725,f726,f719,f720,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f428,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f569,f2102,f2154,f2179,f2200,f1769,f2201,f2204,f1558]) ).
fof(f1558,plain,
( ~ sP5(sK13(sK27(sK44)))
| spl45_54 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f2206,plain,
( spl45_1
| spl45_54
| ~ spl45_76 ),
inference(avatar_contradiction_clause,[],[f2205]) ).
fof(f2205,plain,
( $false
| spl45_1
| spl45_54
| ~ spl45_76 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f432,f435,f328,f437,f442,f445,f409,f423,f447,f448,f422,f185,f240,f457,f458,f459,f326,f462,f463,f464,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f573,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f647,f652,f639,f654,f656,f657,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f676,f682,f685,f684,f681,f686,f687,f688,f689,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f725,f726,f719,f720,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1111,f455,f1196,f1197,f1198,f1200,f1121,f1213,f1214,f1215,f1216,f1217,f1219,f1212,f456,f1226,f1227,f1228,f1122,f1232,f1233,f1210,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1243,f613,f1268,f1269,f1270,f1271,f1209,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1289,f618,f1302,f1303,f1304,f1305,f819,f648,f820,f653,f431,f821,f441,f1490,f1492,f1493,f1494,f1489,f467,f822,f1558,f428,f1208,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1218,f1591,f1592,f1593,f1594,f1235,f1602,f1603,f1604,f1605,f1580,f1009,f1112,f433,f1207,f1644,f1645,f1646,f1647,f1648,f1649,f1650,f1234,f1656,f1657,f1658,f1659,f1643,f677,f438,f1661,f1665,f1663,f1664,f1660,f623,f1390,f690,f658,f1666,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1686,f1687,f1688,f1689,f522,f1734,f1735,f1736,f649,f1737,f1738,f1741,f1742,f1743,f1744,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f443,f1786,f1790,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f569,f2102,f2154,f2179,f2200,f1769,f2201,f2204]) ).
fof(f2203,plain,
( spl45_52
| ~ spl45_54 ),
inference(avatar_contradiction_clause,[],[f2202]) ).
fof(f2202,plain,
( $false
| spl45_52
| ~ spl45_54 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f386,f186,f187,f188,f241,f242,f243,f331,f410,f412,f414,f415,f416,f325,f427,f432,f435,f328,f437,f442,f445,f409,f185,f240,f326,f463,f464,f468,f469,f471,f327,f513,f514,f521,f518,f519,f520,f434,f444,f523,f470,f234,f567,f333,f252,f253,f254,f231,f229,f227,f230,f573,f625,f636,f639,f654,f179,f725,f726,f719,f720,f724,f728,f740,f741,f742,f743,f731,f571,f246,f794,f795,f789,f790,f793,f796,f250,f858,f859,f852,f853,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f857,f451,f1062,f1063,f452,f1106,f1107,f1110,f1111,f455,f1196,f1197,f1200,f1121,f1214,f1215,f1216,f1217,f1212,f456,f1226,f1227,f1210,f1245,f1246,f1247,f1248,f1243,f1209,f1291,f1292,f1293,f1294,f1289,f431,f441,f1490,f1493,f1489,f467,f428,f1557,f1208,f1582,f1583,f1584,f1585,f1580,f1009,f433,f1207,f1645,f1646,f1647,f1648,f1643,f438,f1661,f1663,f1664,f623,f658,f1666,f1668,f1686,f522,f1734,f1735,f1736,f443,f1786,f1788,f1789,f560,f1846,f561,f1934,f568,f2013,f569,f2102,f1685,f1571,f1570,f1569,f1568,f1544]) ).
fof(f1544,plain,
( sK13(sK27(sK44)) != sK20(sK13(sK27(sK44)))
| spl45_52 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f2199,plain,
( spl45_78
| spl45_79
| spl45_1
| spl45_53
| ~ spl45_55
| ~ spl45_76 ),
inference(avatar_split_clause,[],[f2189,f2153,f1560,f1547,f338,f2196,f2192]) ).
fof(f1547,plain,
( spl45_53
<=> sK13(sK27(sK44)) = sK9(sK13(sK27(sK44))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_53])]) ).
fof(f2189,plain,
( in(sK13(sK27(sK44)),omega)
| sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| spl45_53
| ~ spl45_55
| ~ spl45_76 ),
inference(subsumption_resolution,[],[f2184,f1562]) ).
fof(f2184,plain,
( in(sK13(sK27(sK44)),omega)
| ~ ordinal(sK13(sK27(sK44)))
| sP1(sK13(sK27(sK44)),sK44)
| spl45_1
| spl45_53
| ~ spl45_76 ),
inference(resolution,[],[f2180,f328]) ).
fof(f2180,plain,
( in(sK13(sK27(sK44)),succ(sK44))
| spl45_1
| spl45_53
| ~ spl45_76 ),
inference(subsumption_resolution,[],[f1794,f2154]) ).
fof(f1794,plain,
( in(sK13(sK27(sK44)),succ(sK44))
| ~ in(sK13(sK27(sK44)),sK27(sK44))
| spl45_1
| spl45_53 ),
inference(subsumption_resolution,[],[f1792,f324]) ).
fof(f1792,plain,
( in(sK13(sK27(sK44)),succ(sK44))
| ~ in(sK13(sK27(sK44)),sK27(sK44))
| ~ ordinal(sK44)
| spl45_1
| spl45_53 ),
inference(superposition,[],[f667,f1773]) ).
fof(f1773,plain,
( sK13(sK27(sK44)) = sK28(sK44,sK13(sK27(sK44)))
| spl45_1
| spl45_53 ),
inference(subsumption_resolution,[],[f1769,f1548]) ).
fof(f1548,plain,
( sK13(sK27(sK44)) != sK9(sK13(sK27(sK44)))
| spl45_53 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f2175,plain,
( spl45_53
| spl45_76 ),
inference(avatar_contradiction_clause,[],[f2174]) ).
fof(f2174,plain,
( $false
| spl45_53
| spl45_76 ),
inference(subsumption_resolution,[],[f2164,f1548]) ).
fof(f2164,plain,
( sK13(sK27(sK44)) = sK9(sK13(sK27(sK44)))
| spl45_76 ),
inference(resolution,[],[f2155,f370]) ).
fof(f2160,plain,
( ~ spl45_76
| ~ spl45_77
| spl45_1
| spl45_53 ),
inference(avatar_split_clause,[],[f1793,f1547,f338,f2157,f2153]) ).
fof(f2157,plain,
( spl45_77
<=> in(succ(sK44),sK13(sK27(sK44))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_77])]) ).
fof(f1793,plain,
( ~ in(succ(sK44),sK13(sK27(sK44)))
| ~ in(sK13(sK27(sK44)),sK27(sK44))
| spl45_1
| spl45_53 ),
inference(subsumption_resolution,[],[f1791,f324]) ).
fof(f1791,plain,
( ~ in(succ(sK44),sK13(sK27(sK44)))
| ~ ordinal(sK44)
| ~ in(sK13(sK27(sK44)),sK27(sK44))
| spl45_1
| spl45_53 ),
inference(superposition,[],[f672,f1773]) ).
fof(f2099,plain,
( spl45_74
| spl45_75
| spl45_1
| spl45_28
| ~ spl45_30
| ~ spl45_72 ),
inference(avatar_split_clause,[],[f2089,f2005,f1029,f1016,f338,f2096,f2092]) ).
fof(f2089,plain,
( in(sK13(sK27(sK35)),omega)
| sP1(sK13(sK27(sK35)),sK35)
| spl45_1
| spl45_28
| ~ spl45_30
| ~ spl45_72 ),
inference(subsumption_resolution,[],[f2084,f1031]) ).
fof(f2084,plain,
( in(sK13(sK27(sK35)),omega)
| ~ ordinal(sK13(sK27(sK35)))
| sP1(sK13(sK27(sK35)),sK35)
| spl45_1
| spl45_28
| ~ spl45_72 ),
inference(resolution,[],[f2080,f328]) ).
fof(f2080,plain,
( in(sK13(sK27(sK35)),succ(sK35))
| spl45_1
| spl45_28
| ~ spl45_72 ),
inference(subsumption_resolution,[],[f1785,f2006]) ).
fof(f1785,plain,
( in(sK13(sK27(sK35)),succ(sK35))
| ~ in(sK13(sK27(sK35)),sK27(sK35))
| spl45_1
| spl45_28 ),
inference(subsumption_resolution,[],[f1783,f298]) ).
fof(f1783,plain,
( in(sK13(sK27(sK35)),succ(sK35))
| ~ in(sK13(sK27(sK35)),sK27(sK35))
| ~ ordinal(sK35)
| spl45_1
| spl45_28 ),
inference(superposition,[],[f667,f1772]) ).
fof(f1772,plain,
( sK13(sK27(sK35)) = sK28(sK35,sK13(sK27(sK35)))
| spl45_1
| spl45_28 ),
inference(subsumption_resolution,[],[f1764,f1017]) ).
fof(f1017,plain,
( sK13(sK27(sK35)) != sK9(sK13(sK27(sK35)))
| spl45_28 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f2075,plain,
( spl45_28
| spl45_72 ),
inference(avatar_contradiction_clause,[],[f2074]) ).
fof(f2074,plain,
( $false
| spl45_28
| spl45_72 ),
inference(subsumption_resolution,[],[f2064,f1017]) ).
fof(f2064,plain,
( sK13(sK27(sK35)) = sK9(sK13(sK27(sK35)))
| spl45_72 ),
inference(resolution,[],[f2007,f370]) ).
fof(f2012,plain,
( ~ spl45_72
| ~ spl45_73
| spl45_1
| spl45_28 ),
inference(avatar_split_clause,[],[f1784,f1016,f338,f2009,f2005]) ).
fof(f2009,plain,
( spl45_73
<=> in(succ(sK35),sK13(sK27(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_73])]) ).
fof(f1784,plain,
( ~ in(succ(sK35),sK13(sK27(sK35)))
| ~ in(sK13(sK27(sK35)),sK27(sK35))
| spl45_1
| spl45_28 ),
inference(subsumption_resolution,[],[f1782,f298]) ).
fof(f1782,plain,
( ~ in(succ(sK35),sK13(sK27(sK35)))
| ~ ordinal(sK35)
| ~ in(sK13(sK27(sK35)),sK27(sK35))
| spl45_1
| spl45_28 ),
inference(superposition,[],[f672,f1772]) ).
fof(f2000,plain,
( spl45_70
| spl45_71
| spl45_1
| spl45_24
| ~ spl45_26
| ~ spl45_68 ),
inference(avatar_split_clause,[],[f1990,f1907,f991,f978,f338,f1997,f1993]) ).
fof(f978,plain,
( spl45_24
<=> sK13(sK27(sK32)) = sK9(sK13(sK27(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_24])]) ).
fof(f1990,plain,
( in(sK13(sK27(sK32)),omega)
| sP1(sK13(sK27(sK32)),sK32)
| spl45_1
| spl45_24
| ~ spl45_26
| ~ spl45_68 ),
inference(subsumption_resolution,[],[f1985,f993]) ).
fof(f1985,plain,
( in(sK13(sK27(sK32)),omega)
| ~ ordinal(sK13(sK27(sK32)))
| sP1(sK13(sK27(sK32)),sK32)
| spl45_1
| spl45_24
| ~ spl45_68 ),
inference(resolution,[],[f1981,f328]) ).
fof(f1981,plain,
( in(sK13(sK27(sK32)),succ(sK32))
| spl45_1
| spl45_24
| ~ spl45_68 ),
inference(subsumption_resolution,[],[f1781,f1908]) ).
fof(f1781,plain,
( in(sK13(sK27(sK32)),succ(sK32))
| ~ in(sK13(sK27(sK32)),sK27(sK32))
| spl45_1
| spl45_24 ),
inference(subsumption_resolution,[],[f1779,f349]) ).
fof(f1779,plain,
( in(sK13(sK27(sK32)),succ(sK32))
| ~ in(sK13(sK27(sK32)),sK27(sK32))
| ~ ordinal(sK32)
| spl45_1
| spl45_24 ),
inference(superposition,[],[f667,f1771]) ).
fof(f1771,plain,
( sK13(sK27(sK32)) = sK28(sK32,sK13(sK27(sK32)))
| spl45_1
| spl45_24 ),
inference(subsumption_resolution,[],[f1763,f979]) ).
fof(f979,plain,
( sK13(sK27(sK32)) != sK9(sK13(sK27(sK32)))
| spl45_24 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f1929,plain,
( spl45_24
| spl45_68 ),
inference(avatar_contradiction_clause,[],[f1928]) ).
fof(f1928,plain,
( $false
| spl45_24
| spl45_68 ),
inference(subsumption_resolution,[],[f1918,f979]) ).
fof(f1918,plain,
( sK13(sK27(sK32)) = sK9(sK13(sK27(sK32)))
| spl45_68 ),
inference(resolution,[],[f1909,f370]) ).
fof(f1909,plain,
( ~ in(sK13(sK27(sK32)),sK27(sK32))
| spl45_68 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f1914,plain,
( ~ spl45_68
| ~ spl45_69
| spl45_1
| spl45_24 ),
inference(avatar_split_clause,[],[f1780,f978,f338,f1911,f1907]) ).
fof(f1911,plain,
( spl45_69
<=> in(succ(sK32),sK13(sK27(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_69])]) ).
fof(f1780,plain,
( ~ in(succ(sK32),sK13(sK27(sK32)))
| ~ in(sK13(sK27(sK32)),sK27(sK32))
| spl45_1
| spl45_24 ),
inference(subsumption_resolution,[],[f1778,f349]) ).
fof(f1778,plain,
( ~ in(succ(sK32),sK13(sK27(sK32)))
| ~ ordinal(sK32)
| ~ in(sK13(sK27(sK32)),sK27(sK32))
| spl45_1
| spl45_24 ),
inference(superposition,[],[f672,f1771]) ).
fof(f1901,plain,
( spl45_66
| ~ spl45_67
| spl45_1
| spl45_16
| ~ spl45_18
| ~ spl45_64 ),
inference(avatar_split_clause,[],[f1833,f1796,f926,f893,f338,f1898,f1894]) ).
fof(f1833,plain,
( ~ sP0(sK8(sK13(sK27(sK12))))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| spl45_16
| ~ spl45_18
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f1827,f928]) ).
fof(f1827,plain,
( ~ sP0(sK8(sK13(sK27(sK12))))
| ~ ordinal(sK13(sK27(sK12)))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| spl45_16
| ~ spl45_64 ),
inference(resolution,[],[f1822,f325]) ).
fof(f1843,plain,
( spl45_1
| spl45_16
| ~ spl45_18
| spl45_57
| ~ spl45_64 ),
inference(avatar_contradiction_clause,[],[f1842]) ).
fof(f1842,plain,
( $false
| spl45_1
| spl45_16
| ~ spl45_18
| spl45_57
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f1838,f894]) ).
fof(f1838,plain,
( sK13(sK27(sK12)) = sK9(sK13(sK27(sK12)))
| spl45_1
| spl45_16
| ~ spl45_18
| spl45_57
| ~ spl45_64 ),
inference(resolution,[],[f1832,f178]) ).
fof(f1832,plain,
( sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| spl45_16
| ~ spl45_18
| spl45_57
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f1831,f928]) ).
fof(f1831,plain,
( ~ ordinal(sK13(sK27(sK12)))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| spl45_16
| spl45_57
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f1826,f1612]) ).
fof(f1826,plain,
( in(sK13(sK27(sK12)),omega)
| ~ ordinal(sK13(sK27(sK12)))
| sP1(sK13(sK27(sK12)),sK12)
| spl45_1
| spl45_16
| ~ spl45_64 ),
inference(resolution,[],[f1822,f328]) ).
fof(f1841,plain,
( spl45_1
| spl45_16
| ~ spl45_18
| spl45_57
| ~ spl45_64 ),
inference(avatar_contradiction_clause,[],[f1840]) ).
fof(f1840,plain,
( $false
| spl45_1
| spl45_16
| ~ spl45_18
| spl45_57
| ~ spl45_64 ),
inference(subsumption_resolution,[],[f1835,f1797]) ).
fof(f1835,plain,
( ~ in(sK13(sK27(sK12)),sK27(sK12))
| spl45_1
| spl45_16
| ~ spl45_18
| spl45_57
| ~ spl45_64 ),
inference(resolution,[],[f1832,f191]) ).
fof(f1818,plain,
( spl45_16
| spl45_64 ),
inference(avatar_contradiction_clause,[],[f1817]) ).
fof(f1817,plain,
( $false
| spl45_16
| spl45_64 ),
inference(subsumption_resolution,[],[f1807,f894]) ).
fof(f1807,plain,
( sK13(sK27(sK12)) = sK9(sK13(sK27(sK12)))
| spl45_64 ),
inference(resolution,[],[f1798,f370]) ).
fof(f1803,plain,
( ~ spl45_64
| ~ spl45_65
| spl45_1
| spl45_16 ),
inference(avatar_split_clause,[],[f1776,f893,f338,f1800,f1796]) ).
fof(f1800,plain,
( spl45_65
<=> in(succ(sK12),sK13(sK27(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_65])]) ).
fof(f1776,plain,
( ~ in(succ(sK12),sK13(sK27(sK12)))
| ~ in(sK13(sK27(sK12)),sK27(sK12))
| spl45_1
| spl45_16 ),
inference(subsumption_resolution,[],[f1774,f189]) ).
fof(f1774,plain,
( ~ in(succ(sK12),sK13(sK27(sK12)))
| ~ ordinal(sK12)
| ~ in(sK13(sK27(sK12)),sK27(sK12))
| spl45_1
| spl45_16 ),
inference(superposition,[],[f672,f1770]) ).
fof(f1640,plain,
( spl45_62
| ~ spl45_63
| spl45_1
| ~ spl45_45
| ~ spl45_46 ),
inference(avatar_split_clause,[],[f1499,f1454,f1450,f338,f1637,f1634]) ).
fof(f1634,plain,
( spl45_62
<=> ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK43)))))
| sP4(X0)
| empty_set = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_62])]) ).
fof(f1637,plain,
( spl45_63
<=> in(sK13(sK27(sK43)),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_63])]) ).
fof(f1450,plain,
( spl45_45
<=> sK13(sK27(sK43)) = sK20(sK13(sK27(sK43))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_45])]) ).
fof(f1454,plain,
( spl45_46
<=> sK13(sK27(sK43)) = sK9(sK13(sK27(sK43))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_46])]) ).
fof(f1499,plain,
( ! [X0] :
( ~ in(sK13(sK27(sK43)),omega)
| ~ element(X0,powerset(powerset(sK13(sK27(sK43)))))
| empty_set = X0
| sP4(X0) )
| spl45_1
| ~ spl45_45
| ~ spl45_46 ),
inference(forward_demodulation,[],[f1498,f1452]) ).
fof(f1452,plain,
( sK13(sK27(sK43)) = sK20(sK13(sK27(sK43)))
| ~ spl45_45 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1498,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK43)))))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(sK13(sK27(sK43))),omega) )
| spl45_1
| ~ spl45_45
| ~ spl45_46 ),
inference(subsumption_resolution,[],[f1496,f1467]) ).
fof(f1467,plain,
( sP5(sK13(sK27(sK43)))
| spl45_1
| ~ spl45_46 ),
inference(subsumption_resolution,[],[f1466,f352]) ).
fof(f1466,plain,
( sP5(sK13(sK27(sK43)))
| ~ ordinal(sK43)
| spl45_1
| ~ spl45_46 ),
inference(duplicate_literal_removal,[],[f1458]) ).
fof(f1458,plain,
( sP5(sK13(sK27(sK43)))
| ~ ordinal(sK43)
| sP5(sK13(sK27(sK43)))
| spl45_1
| ~ spl45_46 ),
inference(superposition,[],[f1122,f1456]) ).
fof(f1456,plain,
( sK13(sK27(sK43)) = sK9(sK13(sK27(sK43)))
| ~ spl45_46 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1496,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK43)))))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(sK13(sK27(sK43))),omega)
| ~ sP5(sK13(sK27(sK43))) )
| ~ spl45_45 ),
inference(superposition,[],[f234,f1452]) ).
fof(f1631,plain,
( spl45_60
| ~ spl45_61
| ~ spl45_41
| ~ spl45_43 ),
inference(avatar_split_clause,[],[f1442,f1392,f1378,f1628,f1625]) ).
fof(f1625,plain,
( spl45_60
<=> ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK42)))))
| sP4(X0)
| empty_set = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_60])]) ).
fof(f1628,plain,
( spl45_61
<=> in(sK13(sK27(sK42)),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_61])]) ).
fof(f1378,plain,
( spl45_41
<=> sK13(sK27(sK42)) = sK20(sK13(sK27(sK42))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_41])]) ).
fof(f1392,plain,
( spl45_43
<=> sP5(sK13(sK27(sK42))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_43])]) ).
fof(f1442,plain,
( ! [X0] :
( ~ in(sK13(sK27(sK42)),omega)
| ~ element(X0,powerset(powerset(sK13(sK27(sK42)))))
| empty_set = X0
| sP4(X0) )
| ~ spl45_41
| ~ spl45_43 ),
inference(forward_demodulation,[],[f1441,f1380]) ).
fof(f1380,plain,
( sK13(sK27(sK42)) = sK20(sK13(sK27(sK42)))
| ~ spl45_41 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1441,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK42)))))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(sK13(sK27(sK42))),omega) )
| ~ spl45_41
| ~ spl45_43 ),
inference(subsumption_resolution,[],[f1439,f1393]) ).
fof(f1393,plain,
( sP5(sK13(sK27(sK42)))
| ~ spl45_43 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f1439,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK42)))))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(sK13(sK27(sK42))),omega)
| ~ sP5(sK13(sK27(sK42))) )
| ~ spl45_41 ),
inference(superposition,[],[f234,f1380]) ).
fof(f1622,plain,
( spl45_58
| ~ spl45_59
| ~ spl45_37
| ~ spl45_39 ),
inference(avatar_split_clause,[],[f1370,f1320,f1307,f1619,f1616]) ).
fof(f1616,plain,
( spl45_58
<=> ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK37)))))
| sP4(X0)
| empty_set = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_58])]) ).
fof(f1619,plain,
( spl45_59
<=> in(sK13(sK27(sK37)),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_59])]) ).
fof(f1307,plain,
( spl45_37
<=> sK13(sK27(sK37)) = sK20(sK13(sK27(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_37])]) ).
fof(f1320,plain,
( spl45_39
<=> sP5(sK13(sK27(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_39])]) ).
fof(f1370,plain,
( ! [X0] :
( ~ in(sK13(sK27(sK37)),omega)
| ~ element(X0,powerset(powerset(sK13(sK27(sK37)))))
| empty_set = X0
| sP4(X0) )
| ~ spl45_37
| ~ spl45_39 ),
inference(forward_demodulation,[],[f1369,f1309]) ).
fof(f1309,plain,
( sK13(sK27(sK37)) = sK20(sK13(sK27(sK37)))
| ~ spl45_37 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1369,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK37)))))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(sK13(sK27(sK37))),omega) )
| ~ spl45_37
| ~ spl45_39 ),
inference(subsumption_resolution,[],[f1367,f1321]) ).
fof(f1321,plain,
( sP5(sK13(sK27(sK37)))
| ~ spl45_39 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1367,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK13(sK27(sK37)))))
| empty_set = X0
| sP4(X0)
| ~ in(sK20(sK13(sK27(sK37))),omega)
| ~ sP5(sK13(sK27(sK37))) )
| ~ spl45_37 ),
inference(superposition,[],[f234,f1309]) ).
fof(f1613,plain,
( spl45_56
| ~ spl45_57
| ~ spl45_15
| ~ spl45_17 ),
inference(avatar_split_clause,[],[f1206,f922,f889,f1610,f1607]) ).
fof(f1567,plain,
( spl45_1
| spl45_53
| spl45_54 ),
inference(avatar_contradiction_clause,[],[f1566]) ).
fof(f1566,plain,
( $false
| spl45_1
| spl45_53
| spl45_54 ),
inference(subsumption_resolution,[],[f1565,f1548]) ).
fof(f1565,plain,
( sK13(sK27(sK44)) = sK9(sK13(sK27(sK44)))
| spl45_1
| spl45_54 ),
inference(subsumption_resolution,[],[f1564,f324]) ).
fof(f1564,plain,
( ~ ordinal(sK44)
| sK13(sK27(sK44)) = sK9(sK13(sK27(sK44)))
| spl45_1
| spl45_54 ),
inference(resolution,[],[f1558,f615]) ).
fof(f1563,plain,
( ~ spl45_54
| spl45_55
| ~ spl45_52 ),
inference(avatar_split_clause,[],[f1553,f1543,f1560,f1556]) ).
fof(f1550,plain,
( spl45_52
| spl45_53
| spl45_1 ),
inference(avatar_split_clause,[],[f822,f338,f1547,f1543]) ).
fof(f1538,plain,
( spl45_50
| ~ spl45_51
| spl45_1
| spl45_49 ),
inference(avatar_split_clause,[],[f1529,f1514,f338,f1535,f1531]) ).
fof(f1531,plain,
( spl45_50
<=> sK13(succ(sK12)) = sK28(sK12,sK13(succ(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_50])]) ).
fof(f1535,plain,
( spl45_51
<=> sP5(sK13(succ(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_51])]) ).
fof(f1514,plain,
( spl45_49
<=> sP1(sK13(succ(sK12)),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_49])]) ).
fof(f1529,plain,
( ~ sP5(sK13(succ(sK12)))
| sK13(succ(sK12)) = sK28(sK12,sK13(succ(sK12)))
| spl45_1
| spl45_49 ),
inference(subsumption_resolution,[],[f1523,f189]) ).
fof(f1523,plain,
( ~ sP5(sK13(succ(sK12)))
| ~ ordinal(sK12)
| sK13(succ(sK12)) = sK28(sK12,sK13(succ(sK12)))
| spl45_1
| spl45_49 ),
inference(resolution,[],[f1521,f680]) ).
fof(f1521,plain,
( in(sK13(succ(sK12)),succ(sK12))
| spl45_49 ),
inference(resolution,[],[f1515,f190]) ).
fof(f1515,plain,
( ~ sP1(sK13(succ(sK12)),sK12)
| spl45_49 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f1517,plain,
( spl45_47
| ~ spl45_48
| spl45_49 ),
inference(avatar_split_clause,[],[f1489,f1514,f1510,f1506]) ).
fof(f1506,plain,
( spl45_47
<=> in(sK13(succ(sK12)),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_47])]) ).
fof(f1510,plain,
( spl45_48
<=> ordinal(sK13(succ(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_48])]) ).
fof(f1478,plain,
( spl45_1
| spl45_45
| ~ spl45_46 ),
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f1477,plain,
( $false
| spl45_1
| spl45_45
| ~ spl45_46 ),
inference(subsumption_resolution,[],[f1476,f1451]) ).
fof(f1451,plain,
( sK13(sK27(sK43)) != sK20(sK13(sK27(sK43)))
| spl45_45 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1476,plain,
( sK13(sK27(sK43)) = sK20(sK13(sK27(sK43)))
| spl45_1
| ~ spl45_46 ),
inference(resolution,[],[f1467,f233]) ).
fof(f1457,plain,
( spl45_45
| spl45_46
| spl45_1 ),
inference(avatar_split_clause,[],[f821,f338,f1454,f1450]) ).
fof(f1432,plain,
( spl45_41
| ~ spl45_43 ),
inference(avatar_contradiction_clause,[],[f1431]) ).
fof(f1431,plain,
( $false
| spl45_41
| ~ spl45_43 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f386,f186,f187,f188,f241,f242,f243,f331,f410,f412,f414,f415,f416,f325,f427,f428,f431,f432,f433,f435,f328,f437,f438,f441,f442,f443,f445,f409,f185,f240,f326,f463,f464,f467,f468,f469,f471,f327,f513,f514,f521,f522,f518,f519,f520,f434,f444,f523,f470,f234,f568,f569,f560,f561,f567,f333,f252,f253,f254,f231,f229,f227,f230,f573,f623,f625,f636,f639,f654,f658,f179,f725,f726,f719,f720,f724,f728,f740,f741,f742,f743,f731,f571,f246,f794,f795,f789,f790,f793,f796,f250,f858,f859,f852,f853,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f857,f1009,f451,f1062,f1063,f452,f1106,f1107,f1110,f1111,f455,f1196,f1197,f1200,f1121,f1207,f1208,f1214,f1215,f1216,f1217,f1212,f456,f1226,f1227,f1210,f1245,f1246,f1247,f1248,f1243,f1209,f1291,f1292,f1293,f1294,f1289,f1379,f1393,f1427,f1428,f1429,f1430]) ).
fof(f1430,plain,
( sK13(sK27(sK42)) = sK20(sK13(sK27(sK42)))
| ~ spl45_43 ),
inference(resolution,[],[f1393,f233]) ).
fof(f1429,plain,
( sK20(sK13(sK27(sK42))) = sK20(sK20(sK13(sK27(sK42))))
| ~ spl45_43 ),
inference(resolution,[],[f1393,f573]) ).
fof(f1428,plain,
( sK20(sK20(sK13(sK27(sK42)))) = sK20(sK20(sK20(sK13(sK27(sK42)))))
| ~ spl45_43 ),
inference(resolution,[],[f1393,f625]) ).
fof(f1427,plain,
( sK20(sK20(sK20(sK13(sK27(sK42))))) = sK20(sK20(sK20(sK20(sK13(sK27(sK42))))))
| ~ spl45_43 ),
inference(resolution,[],[f1393,f639]) ).
fof(f1379,plain,
( sK13(sK27(sK42)) != sK20(sK13(sK27(sK42)))
| spl45_41 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1421,plain,
( spl45_1
| ~ spl45_42
| spl45_43
| spl45_44 ),
inference(avatar_contradiction_clause,[],[f1420]) ).
fof(f1420,plain,
( $false
| spl45_1
| ~ spl45_42
| spl45_43
| spl45_44 ),
inference(subsumption_resolution,[],[f1419,f1394]) ).
fof(f1394,plain,
( ~ sP5(sK13(sK27(sK42)))
| spl45_43 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f1419,plain,
( sP5(sK13(sK27(sK42)))
| spl45_1
| ~ spl45_42
| spl45_44 ),
inference(subsumption_resolution,[],[f1418,f318]) ).
fof(f1418,plain,
( ~ ordinal(sK42)
| sP5(sK13(sK27(sK42)))
| spl45_1
| ~ spl45_42
| spl45_44 ),
inference(subsumption_resolution,[],[f1407,f1397]) ).
fof(f1397,plain,
( ~ ordinal(sK13(sK27(sK42)))
| spl45_44 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1396,plain,
( spl45_44
<=> ordinal(sK13(sK27(sK42))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_44])]) ).
fof(f1407,plain,
( ordinal(sK13(sK27(sK42)))
| ~ ordinal(sK42)
| sP5(sK13(sK27(sK42)))
| spl45_1
| ~ spl45_42 ),
inference(superposition,[],[f616,f1384]) ).
fof(f1384,plain,
( sK13(sK27(sK42)) = sK9(sK13(sK27(sK42)))
| ~ spl45_42 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1382,plain,
( spl45_42
<=> sK13(sK27(sK42)) = sK9(sK13(sK27(sK42))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_42])]) ).
fof(f1415,plain,
( spl45_1
| ~ spl45_42
| spl45_43 ),
inference(avatar_contradiction_clause,[],[f1414]) ).
fof(f1414,plain,
( $false
| spl45_1
| ~ spl45_42
| spl45_43 ),
inference(subsumption_resolution,[],[f1413,f318]) ).
fof(f1413,plain,
( ~ ordinal(sK42)
| spl45_1
| ~ spl45_42
| spl45_43 ),
inference(subsumption_resolution,[],[f1412,f1394]) ).
fof(f1412,plain,
( sP5(sK13(sK27(sK42)))
| ~ ordinal(sK42)
| spl45_1
| ~ spl45_42 ),
inference(duplicate_literal_removal,[],[f1404]) ).
fof(f1404,plain,
( sP5(sK13(sK27(sK42)))
| ~ ordinal(sK42)
| sP5(sK13(sK27(sK42)))
| spl45_1
| ~ spl45_42 ),
inference(superposition,[],[f1122,f1384]) ).
fof(f1403,plain,
( spl45_1
| spl45_42
| spl45_43 ),
inference(avatar_contradiction_clause,[],[f1402]) ).
fof(f1402,plain,
( $false
| spl45_1
| spl45_42
| spl45_43 ),
inference(subsumption_resolution,[],[f1401,f1383]) ).
fof(f1383,plain,
( sK13(sK27(sK42)) != sK9(sK13(sK27(sK42)))
| spl45_42 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1401,plain,
( sK13(sK27(sK42)) = sK9(sK13(sK27(sK42)))
| spl45_1
| spl45_43 ),
inference(subsumption_resolution,[],[f1400,f318]) ).
fof(f1400,plain,
( ~ ordinal(sK42)
| sK13(sK27(sK42)) = sK9(sK13(sK27(sK42)))
| spl45_1
| spl45_43 ),
inference(resolution,[],[f1394,f615]) ).
fof(f1399,plain,
( ~ spl45_43
| spl45_44
| ~ spl45_41 ),
inference(avatar_split_clause,[],[f1388,f1378,f1396,f1392]) ).
fof(f1388,plain,
( ordinal(sK13(sK27(sK42)))
| ~ sP5(sK13(sK27(sK42)))
| ~ spl45_41 ),
inference(superposition,[],[f232,f1380]) ).
fof(f1385,plain,
( spl45_41
| spl45_42
| spl45_1 ),
inference(avatar_split_clause,[],[f820,f338,f1382,f1378]) ).
fof(f1360,plain,
( spl45_37
| ~ spl45_39 ),
inference(avatar_contradiction_clause,[],[f1359]) ).
fof(f1359,plain,
( $false
| spl45_37
| ~ spl45_39 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f386,f186,f187,f188,f241,f242,f243,f331,f410,f412,f414,f415,f416,f325,f427,f428,f431,f432,f433,f435,f328,f437,f438,f441,f442,f443,f445,f409,f185,f240,f326,f463,f464,f467,f468,f469,f471,f327,f513,f514,f521,f522,f518,f519,f520,f434,f444,f523,f470,f234,f568,f569,f560,f561,f567,f333,f252,f253,f254,f231,f229,f227,f230,f573,f623,f625,f636,f639,f654,f658,f179,f725,f726,f719,f720,f724,f728,f740,f741,f742,f743,f731,f571,f246,f794,f795,f789,f790,f793,f796,f250,f858,f859,f852,f853,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f857,f1009,f451,f1062,f1063,f452,f1106,f1107,f1110,f1111,f455,f1196,f1197,f1200,f1121,f1207,f1208,f1214,f1215,f1216,f1217,f1212,f456,f1226,f1227,f1210,f1245,f1246,f1247,f1248,f1243,f1209,f1291,f1292,f1293,f1294,f1289,f1308,f1321,f1355,f1356,f1357,f1358]) ).
fof(f1358,plain,
( sK13(sK27(sK37)) = sK20(sK13(sK27(sK37)))
| ~ spl45_39 ),
inference(resolution,[],[f1321,f233]) ).
fof(f1357,plain,
( sK20(sK13(sK27(sK37))) = sK20(sK20(sK13(sK27(sK37))))
| ~ spl45_39 ),
inference(resolution,[],[f1321,f573]) ).
fof(f1356,plain,
( sK20(sK20(sK13(sK27(sK37)))) = sK20(sK20(sK20(sK13(sK27(sK37)))))
| ~ spl45_39 ),
inference(resolution,[],[f1321,f625]) ).
fof(f1355,plain,
( sK20(sK20(sK20(sK13(sK27(sK37))))) = sK20(sK20(sK20(sK20(sK13(sK27(sK37))))))
| ~ spl45_39 ),
inference(resolution,[],[f1321,f639]) ).
fof(f1308,plain,
( sK13(sK27(sK37)) != sK20(sK13(sK27(sK37)))
| spl45_37 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1349,plain,
( spl45_1
| ~ spl45_38
| spl45_39
| spl45_40 ),
inference(avatar_contradiction_clause,[],[f1348]) ).
fof(f1348,plain,
( $false
| spl45_1
| ~ spl45_38
| spl45_39
| spl45_40 ),
inference(subsumption_resolution,[],[f1347,f1322]) ).
fof(f1322,plain,
( ~ sP5(sK13(sK27(sK37)))
| spl45_39 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1347,plain,
( sP5(sK13(sK27(sK37)))
| spl45_1
| ~ spl45_38
| spl45_40 ),
inference(subsumption_resolution,[],[f1346,f350]) ).
fof(f1346,plain,
( ~ ordinal(sK37)
| sP5(sK13(sK27(sK37)))
| spl45_1
| ~ spl45_38
| spl45_40 ),
inference(subsumption_resolution,[],[f1335,f1325]) ).
fof(f1325,plain,
( ~ ordinal(sK13(sK27(sK37)))
| spl45_40 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1324,plain,
( spl45_40
<=> ordinal(sK13(sK27(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_40])]) ).
fof(f1335,plain,
( ordinal(sK13(sK27(sK37)))
| ~ ordinal(sK37)
| sP5(sK13(sK27(sK37)))
| spl45_1
| ~ spl45_38 ),
inference(superposition,[],[f616,f1313]) ).
fof(f1313,plain,
( sK13(sK27(sK37)) = sK9(sK13(sK27(sK37)))
| ~ spl45_38 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f1311,plain,
( spl45_38
<=> sK13(sK27(sK37)) = sK9(sK13(sK27(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_38])]) ).
fof(f1343,plain,
( spl45_1
| ~ spl45_38
| spl45_39 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1342,plain,
( $false
| spl45_1
| ~ spl45_38
| spl45_39 ),
inference(subsumption_resolution,[],[f1341,f350]) ).
fof(f1341,plain,
( ~ ordinal(sK37)
| spl45_1
| ~ spl45_38
| spl45_39 ),
inference(subsumption_resolution,[],[f1340,f1322]) ).
fof(f1340,plain,
( sP5(sK13(sK27(sK37)))
| ~ ordinal(sK37)
| spl45_1
| ~ spl45_38 ),
inference(duplicate_literal_removal,[],[f1332]) ).
fof(f1332,plain,
( sP5(sK13(sK27(sK37)))
| ~ ordinal(sK37)
| sP5(sK13(sK27(sK37)))
| spl45_1
| ~ spl45_38 ),
inference(superposition,[],[f1122,f1313]) ).
fof(f1331,plain,
( spl45_1
| spl45_38
| spl45_39 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1330,plain,
( $false
| spl45_1
| spl45_38
| spl45_39 ),
inference(subsumption_resolution,[],[f1329,f1312]) ).
fof(f1312,plain,
( sK13(sK27(sK37)) != sK9(sK13(sK27(sK37)))
| spl45_38 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f1329,plain,
( sK13(sK27(sK37)) = sK9(sK13(sK27(sK37)))
| spl45_1
| spl45_39 ),
inference(subsumption_resolution,[],[f1328,f350]) ).
fof(f1328,plain,
( ~ ordinal(sK37)
| sK13(sK27(sK37)) = sK9(sK13(sK27(sK37)))
| spl45_1
| spl45_39 ),
inference(resolution,[],[f1322,f615]) ).
fof(f1327,plain,
( ~ spl45_39
| spl45_40
| ~ spl45_37 ),
inference(avatar_split_clause,[],[f1317,f1307,f1324,f1320]) ).
fof(f1317,plain,
( ordinal(sK13(sK27(sK37)))
| ~ sP5(sK13(sK27(sK37)))
| ~ spl45_37 ),
inference(superposition,[],[f232,f1309]) ).
fof(f1314,plain,
( spl45_37
| spl45_38
| spl45_1 ),
inference(avatar_split_clause,[],[f819,f338,f1311,f1307]) ).
fof(f1277,plain,
( spl45_1
| ~ spl45_5
| spl45_7
| spl45_35 ),
inference(avatar_contradiction_clause,[],[f1276]) ).
fof(f1276,plain,
( $false
| spl45_1
| ~ spl45_5
| spl45_7
| spl45_35 ),
inference(subsumption_resolution,[],[f1275,f767]) ).
fof(f767,plain,
( sP1(sK13(sK27(omega)),sK12)
| spl45_7 ),
inference(resolution,[],[f748,f190]) ).
fof(f748,plain,
( ~ in(sK13(sK27(omega)),sK27(omega))
| spl45_7 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f747,plain,
( spl45_7
<=> in(sK13(sK27(omega)),sK27(omega)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_7])]) ).
fof(f1275,plain,
( ~ sP1(sK13(sK27(omega)),sK12)
| spl45_1
| ~ spl45_5
| spl45_35 ),
inference(resolution,[],[f1274,f176]) ).
fof(f1274,plain,
( ~ in(sK13(sK27(omega)),succ(sK12))
| spl45_1
| ~ spl45_5
| spl45_35 ),
inference(subsumption_resolution,[],[f1273,f189]) ).
fof(f1273,plain,
( ~ in(sK13(sK27(omega)),succ(sK12))
| ~ ordinal(sK12)
| spl45_1
| ~ spl45_5
| spl45_35 ),
inference(subsumption_resolution,[],[f1272,f578]) ).
fof(f578,plain,
( sP5(sK13(sK27(omega)))
| ~ spl45_5 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl45_5
<=> sP5(sK13(sK27(omega))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_5])]) ).
fof(f1272,plain,
( ~ sP5(sK13(sK27(omega)))
| ~ in(sK13(sK27(omega)),succ(sK12))
| ~ ordinal(sK12)
| spl45_1
| spl45_35 ),
inference(resolution,[],[f1262,f673]) ).
fof(f1262,plain,
( ~ in(sK13(sK27(omega)),sK27(sK12))
| spl45_35 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1260,plain,
( spl45_35
<=> in(sK13(sK27(omega)),sK27(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_35])]) ).
fof(f1267,plain,
( ~ spl45_35
| ~ spl45_36
| spl45_1
| ~ spl45_5
| spl45_7 ),
inference(avatar_split_clause,[],[f1257,f747,f577,f338,f1264,f1260]) ).
fof(f1264,plain,
( spl45_36
<=> in(succ(sK12),sK13(sK27(omega))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_36])]) ).
fof(f1257,plain,
( ~ in(succ(sK12),sK13(sK27(omega)))
| ~ in(sK13(sK27(omega)),sK27(sK12))
| spl45_1
| ~ spl45_5
| spl45_7 ),
inference(subsumption_resolution,[],[f1255,f189]) ).
fof(f1255,plain,
( ~ in(succ(sK12),sK13(sK27(omega)))
| ~ ordinal(sK12)
| ~ in(sK13(sK27(omega)),sK27(sK12))
| spl45_1
| ~ spl45_5
| spl45_7 ),
inference(superposition,[],[f672,f1254]) ).
fof(f1254,plain,
( sK13(sK27(omega)) = sK28(sK12,sK13(sK27(omega)))
| spl45_1
| ~ spl45_5
| spl45_7 ),
inference(subsumption_resolution,[],[f764,f578]) ).
fof(f764,plain,
( ~ sP5(sK13(sK27(omega)))
| sK13(sK27(omega)) = sK28(sK12,sK13(sK27(omega)))
| spl45_1
| spl45_7 ),
inference(resolution,[],[f748,f704]) ).
fof(f1180,plain,
( spl45_1
| spl45_16
| spl45_17 ),
inference(avatar_contradiction_clause,[],[f1179]) ).
fof(f1179,plain,
( $false
| spl45_1
| spl45_16
| spl45_17 ),
inference(global_subsumption,[],[f193,f195,f203,f223,f334,f266,f270,f336,f189,f192,f197,f198,f199,f200,f204,f205,f206,f289,f290,f291,f293,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f315,f316,f317,f318,f320,f322,f323,f324,f207,f208,f228,f277,f279,f282,f283,f284,f285,f218,f219,f220,f349,f350,f352,f347,f335,f210,f212,f224,f225,f226,f232,f244,f248,f259,f260,f261,f262,f271,f272,f273,f274,f276,f278,f177,f184,f233,f239,f245,f249,f269,f275,f288,f363,f364,f190,f191,f365,f366,f368,f176,f178,f209,f211,f256,f373,f257,f377,f258,f329,f332,f369,f384,f387,f390,f391,f370,f330,f393,f371,f372,f375,f395,f376,f397,f380,f381,f385,f398,f403,f405,f406,f402,f399,f400,f386,f186,f411,f187,f188,f241,f413,f242,f243,f331,f410,f412,f401,f414,f415,f416,f418,f419,f420,f421,f424,f425,f325,f427,f428,f431,f432,f433,f435,f328,f437,f438,f441,f442,f443,f445,f409,f423,f447,f448,f422,f185,f240,f455,f456,f457,f458,f459,f326,f462,f463,f464,f467,f468,f469,f471,f460,f472,f476,f475,f481,f484,f483,f480,f485,f486,f479,f496,f489,f490,f491,f492,f493,f494,f495,f487,f501,f500,f509,f504,f510,f506,f507,f327,f512,f513,f514,f515,f521,f522,f518,f519,f520,f502,f407,f408,f434,f444,f523,f470,f417,f524,f525,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f526,f234,f568,f569,f560,f561,f567,f333,f252,f253,f254,f231,f602,f229,f603,f227,f604,f230,f605,f340,f610,f613,f618,f573,f623,f617,f628,f629,f616,f614,f631,f619,f633,f625,f636,f638,f640,f615,f644,f645,f635,f647,f648,f649,f652,f653,f639,f654,f656,f657,f658,f659,f651,f664,f665,f650,f667,f668,f669,f670,f671,f672,f673,f677,f676,f682,f685,f684,f681,f686,f687,f688,f689,f690,f680,f700,f693,f694,f695,f696,f697,f698,f699,f691,f705,f704,f714,f708,f709,f715,f711,f712,f706,f632,f634,f179,f725,f726,f719,f720,f724,f729,f728,f732,f740,f741,f742,f743,f737,f738,f731,f571,f246,f794,f795,f789,f790,f793,f796,f730,f646,f798,f799,f802,f803,f804,f805,f808,f809,f811,f812,f813,f814,f815,f819,f820,f821,f822,f801,f250,f858,f859,f852,f853,f806,f247,f918,f919,f920,f914,f915,f251,f954,f955,f956,f949,f950,f816,f857,f1009,f817,f818,f451,f1062,f1063,f1064,f452,f1106,f1107,f1108,f1110,f1112,f1111,f1121,f1122,f894,f923,f1178]) ).
fof(f1178,plain,
( sK13(sK27(sK12)) = sK9(sK13(sK27(sK12)))
| spl45_1
| spl45_17 ),
inference(subsumption_resolution,[],[f1177,f189]) ).
fof(f1177,plain,
( ~ ordinal(sK12)
| sK13(sK27(sK12)) = sK9(sK13(sK27(sK12)))
| spl45_1
| spl45_17 ),
inference(resolution,[],[f923,f615]) ).
fof(f923,plain,
( ~ sP5(sK13(sK27(sK12)))
| spl45_17 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f1176,plain,
( spl45_15
| ~ spl45_17 ),
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| spl45_15
| ~ spl45_17 ),
inference(subsumption_resolution,[],[f1174,f890]) ).
fof(f890,plain,
( sK13(sK27(sK12)) != sK20(sK13(sK27(sK12)))
| spl45_15 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f1174,plain,
( sK13(sK27(sK12)) = sK20(sK13(sK27(sK12)))
| ~ spl45_17 ),
inference(resolution,[],[f924,f233]) ).
fof(f1134,plain,
( spl45_1
| ~ spl45_32
| spl45_33
| ~ spl45_34 ),
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1133,plain,
( $false
| spl45_1
| ~ spl45_32
| spl45_33
| ~ spl45_34 ),
inference(subsumption_resolution,[],[f1132,f1073]) ).
fof(f1073,plain,
( ordinal(sK13(sK27(sK36)))
| ~ spl45_34 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1071,plain,
( spl45_34
<=> ordinal(sK13(sK27(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_34])]) ).
fof(f1132,plain,
( ~ ordinal(sK13(sK27(sK36)))
| spl45_1
| ~ spl45_32
| spl45_33 ),
inference(subsumption_resolution,[],[f1118,f1069]) ).
fof(f1069,plain,
( ~ sP5(sK13(sK27(sK36)))
| spl45_33 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1067,plain,
( spl45_33
<=> sP5(sK13(sK27(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_33])]) ).
fof(f1118,plain,
( sP5(sK13(sK27(sK36)))
| ~ ordinal(sK13(sK27(sK36)))
| spl45_1
| ~ spl45_32
| spl45_33 ),
inference(resolution,[],[f1111,f1088]) ).
fof(f1088,plain,
( sP0(sK19(sK13(sK27(sK36))))
| spl45_1
| ~ spl45_32
| spl45_33 ),
inference(subsumption_resolution,[],[f1087,f1069]) ).
fof(f1087,plain,
( sP5(sK13(sK27(sK36)))
| sP0(sK19(sK13(sK27(sK36))))
| spl45_1
| ~ spl45_32
| spl45_33 ),
inference(forward_demodulation,[],[f1086,f1055]) ).
fof(f1055,plain,
( sK13(sK27(sK36)) = sK9(sK13(sK27(sK36)))
| ~ spl45_32 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1053,plain,
( spl45_32
<=> sK13(sK27(sK36)) = sK9(sK13(sK27(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_32])]) ).
fof(f1086,plain,
( sP0(sK19(sK13(sK27(sK36))))
| sP5(sK9(sK13(sK27(sK36))))
| spl45_1
| ~ spl45_32
| spl45_33 ),
inference(subsumption_resolution,[],[f1085,f1069]) ).
fof(f1085,plain,
( sP0(sK19(sK13(sK27(sK36))))
| sP5(sK9(sK13(sK27(sK36))))
| sP5(sK13(sK27(sK36)))
| spl45_1
| ~ spl45_32 ),
inference(subsumption_resolution,[],[f1079,f302]) ).
fof(f1079,plain,
( sP0(sK19(sK13(sK27(sK36))))
| sP5(sK9(sK13(sK27(sK36))))
| ~ ordinal(sK36)
| sP5(sK13(sK27(sK36)))
| spl45_1
| ~ spl45_32 ),
inference(superposition,[],[f730,f1055]) ).
fof(f1131,plain,
( spl45_1
| ~ spl45_16
| spl45_17
| ~ spl45_18 ),
inference(avatar_contradiction_clause,[],[f1130]) ).
fof(f1130,plain,
( $false
| spl45_1
| ~ spl45_16
| spl45_17
| ~ spl45_18 ),
inference(subsumption_resolution,[],[f1129,f928]) ).
fof(f1129,plain,
( ~ ordinal(sK13(sK27(sK12)))
| spl45_1
| ~ spl45_16
| spl45_17 ),
inference(subsumption_resolution,[],[f1117,f923]) ).
fof(f1117,plain,
( sP5(sK13(sK27(sK12)))
| ~ ordinal(sK13(sK27(sK12)))
| spl45_1
| ~ spl45_16
| spl45_17 ),
inference(resolution,[],[f1111,f932]) ).
fof(f932,plain,
( sP0(sK19(sK13(sK27(sK12))))
| spl45_1
| ~ spl45_16
| spl45_17 ),
inference(subsumption_resolution,[],[f905,f923]) ).
fof(f905,plain,
( sP5(sK13(sK27(sK12)))
| sP0(sK19(sK13(sK27(sK12))))
| spl45_1
| ~ spl45_16 ),
inference(duplicate_literal_removal,[],[f904]) ).
fof(f904,plain,
( sP5(sK13(sK27(sK12)))
| sP0(sK19(sK13(sK27(sK12))))
| sP5(sK13(sK27(sK12)))
| spl45_1
| ~ spl45_16 ),
inference(forward_demodulation,[],[f903,f895]) ).
fof(f895,plain,
( sK13(sK27(sK12)) = sK9(sK13(sK27(sK12)))
| ~ spl45_16 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f903,plain,
( sP0(sK19(sK13(sK27(sK12))))
| sP5(sK9(sK13(sK27(sK12))))
| sP5(sK13(sK27(sK12)))
| spl45_1
| ~ spl45_16 ),
inference(subsumption_resolution,[],[f897,f189]) ).
fof(f897,plain,
( sP0(sK19(sK13(sK27(sK12))))
| sP5(sK9(sK13(sK27(sK12))))
| ~ ordinal(sK12)
| sP5(sK13(sK27(sK12)))
| spl45_1
| ~ spl45_16 ),
inference(superposition,[],[f730,f895]) ).
fof(f1128,plain,
( spl45_1
| ~ spl45_12
| spl45_13
| ~ spl45_14 ),
inference(avatar_contradiction_clause,[],[f1127]) ).
fof(f1127,plain,
( $false
| spl45_1
| ~ spl45_12
| spl45_13
| ~ spl45_14 ),
inference(subsumption_resolution,[],[f1126,f843]) ).
fof(f843,plain,
( ordinal(sK13(sK27(empty_set)))
| ~ spl45_14 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f841,plain,
( spl45_14
<=> ordinal(sK13(sK27(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_14])]) ).
fof(f1126,plain,
( ~ ordinal(sK13(sK27(empty_set)))
| spl45_1
| ~ spl45_12
| spl45_13 ),
inference(subsumption_resolution,[],[f1116,f839]) ).
fof(f839,plain,
( ~ sP5(sK13(sK27(empty_set)))
| spl45_13 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f837,plain,
( spl45_13
<=> sP5(sK13(sK27(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_13])]) ).
fof(f1116,plain,
( sP5(sK13(sK27(empty_set)))
| ~ ordinal(sK13(sK27(empty_set)))
| spl45_1
| ~ spl45_12
| spl45_13 ),
inference(resolution,[],[f1111,f871]) ).
fof(f871,plain,
( sP0(sK19(sK13(sK27(empty_set))))
| spl45_1
| ~ spl45_12
| spl45_13 ),
inference(subsumption_resolution,[],[f870,f839]) ).
fof(f870,plain,
( sP5(sK13(sK27(empty_set)))
| sP0(sK19(sK13(sK27(empty_set))))
| spl45_1
| ~ spl45_12
| spl45_13 ),
inference(forward_demodulation,[],[f869,f830]) ).
fof(f830,plain,
( sK13(sK27(empty_set)) = sK9(sK13(sK27(empty_set)))
| ~ spl45_12 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f828,plain,
( spl45_12
<=> sK13(sK27(empty_set)) = sK9(sK13(sK27(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_12])]) ).
fof(f869,plain,
( sP0(sK19(sK13(sK27(empty_set))))
| sP5(sK9(sK13(sK27(empty_set))))
| spl45_1
| ~ spl45_12
| spl45_13 ),
inference(subsumption_resolution,[],[f868,f839]) ).
fof(f868,plain,
( sP0(sK19(sK13(sK27(empty_set))))
| sP5(sK9(sK13(sK27(empty_set))))
| sP5(sK13(sK27(empty_set)))
| spl45_1
| ~ spl45_12 ),
inference(subsumption_resolution,[],[f862,f206]) ).
fof(f862,plain,
( sP0(sK19(sK13(sK27(empty_set))))
| sP5(sK9(sK13(sK27(empty_set))))
| ~ ordinal(empty_set)
| sP5(sK13(sK27(empty_set)))
| spl45_1
| ~ spl45_12 ),
inference(superposition,[],[f730,f830]) ).
fof(f1125,plain,
( spl45_5
| ~ spl45_6
| ~ spl45_8 ),
inference(avatar_contradiction_clause,[],[f1124]) ).
fof(f1124,plain,
( $false
| spl45_5
| ~ spl45_6
| ~ spl45_8 ),
inference(subsumption_resolution,[],[f1123,f583]) ).
fof(f583,plain,
( ordinal(sK13(sK27(omega)))
| ~ spl45_6 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl45_6
<=> ordinal(sK13(sK27(omega))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_6])]) ).
fof(f1123,plain,
( ~ ordinal(sK13(sK27(omega)))
| spl45_5
| ~ spl45_8 ),
inference(subsumption_resolution,[],[f1115,f579]) ).
fof(f579,plain,
( ~ sP5(sK13(sK27(omega)))
| spl45_5 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f1115,plain,
( sP5(sK13(sK27(omega)))
| ~ ordinal(sK13(sK27(omega)))
| ~ spl45_8 ),
inference(resolution,[],[f1111,f753]) ).
fof(f753,plain,
( sP0(sK19(sK13(sK27(omega))))
| ~ spl45_8 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f751,plain,
( spl45_8
<=> sP0(sK19(sK13(sK27(omega)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_8])]) ).
fof(f1094,plain,
( spl45_1
| ~ spl45_32
| spl45_33
| spl45_34 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
fof(f1093,plain,
( $false
| spl45_1
| ~ spl45_32
| spl45_33
| spl45_34 ),
inference(subsumption_resolution,[],[f1092,f1069]) ).
fof(f1092,plain,
( sP5(sK13(sK27(sK36)))
| spl45_1
| ~ spl45_32
| spl45_34 ),
inference(subsumption_resolution,[],[f1091,f302]) ).
fof(f1091,plain,
( ~ ordinal(sK36)
| sP5(sK13(sK27(sK36)))
| spl45_1
| ~ spl45_32
| spl45_34 ),
inference(subsumption_resolution,[],[f1081,f1072]) ).
fof(f1072,plain,
( ~ ordinal(sK13(sK27(sK36)))
| spl45_34 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1081,plain,
( ordinal(sK13(sK27(sK36)))
| ~ ordinal(sK36)
| sP5(sK13(sK27(sK36)))
| spl45_1
| ~ spl45_32 ),
inference(superposition,[],[f616,f1055]) ).
fof(f1078,plain,
( spl45_1
| spl45_32
| spl45_33 ),
inference(avatar_contradiction_clause,[],[f1077]) ).
fof(f1077,plain,
( $false
| spl45_1
| spl45_32
| spl45_33 ),
inference(subsumption_resolution,[],[f1076,f1054]) ).
fof(f1054,plain,
( sK13(sK27(sK36)) != sK9(sK13(sK27(sK36)))
| spl45_32 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1076,plain,
( sK13(sK27(sK36)) = sK9(sK13(sK27(sK36)))
| spl45_1
| spl45_33 ),
inference(subsumption_resolution,[],[f1075,f302]) ).
fof(f1075,plain,
( ~ ordinal(sK36)
| sK13(sK27(sK36)) = sK9(sK13(sK27(sK36)))
| spl45_1
| spl45_33 ),
inference(resolution,[],[f1069,f615]) ).
fof(f1074,plain,
( ~ spl45_33
| spl45_34
| ~ spl45_31 ),
inference(avatar_split_clause,[],[f1059,f1049,f1071,f1067]) ).
fof(f1049,plain,
( spl45_31
<=> sK13(sK27(sK36)) = sK20(sK13(sK27(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_31])]) ).
fof(f1059,plain,
( ordinal(sK13(sK27(sK36)))
| ~ sP5(sK13(sK27(sK36)))
| ~ spl45_31 ),
inference(superposition,[],[f232,f1051]) ).
fof(f1051,plain,
( sK13(sK27(sK36)) = sK20(sK13(sK27(sK36)))
| ~ spl45_31 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1056,plain,
( spl45_31
| spl45_32
| spl45_1 ),
inference(avatar_split_clause,[],[f818,f338,f1053,f1049]) ).
fof(f1036,plain,
( spl45_1
| spl45_28
| spl45_29 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1035,plain,
( $false
| spl45_1
| spl45_28
| spl45_29 ),
inference(subsumption_resolution,[],[f1034,f1017]) ).
fof(f1034,plain,
( sK13(sK27(sK35)) = sK9(sK13(sK27(sK35)))
| spl45_1
| spl45_29 ),
inference(subsumption_resolution,[],[f1033,f298]) ).
fof(f1033,plain,
( ~ ordinal(sK35)
| sK13(sK27(sK35)) = sK9(sK13(sK27(sK35)))
| spl45_1
| spl45_29 ),
inference(resolution,[],[f1027,f615]) ).
fof(f1032,plain,
( ~ spl45_29
| spl45_30
| ~ spl45_27 ),
inference(avatar_split_clause,[],[f1022,f1012,f1029,f1025]) ).
fof(f1022,plain,
( ordinal(sK13(sK27(sK35)))
| ~ sP5(sK13(sK27(sK35)))
| ~ spl45_27 ),
inference(superposition,[],[f232,f1014]) ).
fof(f1019,plain,
( spl45_27
| spl45_28
| spl45_1 ),
inference(avatar_split_clause,[],[f817,f338,f1016,f1012]) ).
fof(f998,plain,
( spl45_1
| spl45_24
| spl45_25 ),
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f997,plain,
( $false
| spl45_1
| spl45_24
| spl45_25 ),
inference(subsumption_resolution,[],[f996,f979]) ).
fof(f996,plain,
( sK13(sK27(sK32)) = sK9(sK13(sK27(sK32)))
| spl45_1
| spl45_25 ),
inference(subsumption_resolution,[],[f995,f349]) ).
fof(f995,plain,
( ~ ordinal(sK32)
| sK13(sK27(sK32)) = sK9(sK13(sK27(sK32)))
| spl45_1
| spl45_25 ),
inference(resolution,[],[f989,f615]) ).
fof(f989,plain,
( ~ sP5(sK13(sK27(sK32)))
| spl45_25 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f994,plain,
( ~ spl45_25
| spl45_26
| ~ spl45_23 ),
inference(avatar_split_clause,[],[f984,f974,f991,f987]) ).
fof(f984,plain,
( ordinal(sK13(sK27(sK32)))
| ~ sP5(sK13(sK27(sK32)))
| ~ spl45_23 ),
inference(superposition,[],[f232,f976]) ).
fof(f981,plain,
( spl45_23
| spl45_24
| spl45_1 ),
inference(avatar_split_clause,[],[f816,f338,f978,f974]) ).
fof(f971,plain,
( spl45_1
| ~ spl45_2
| spl45_20
| spl45_21 ),
inference(avatar_contradiction_clause,[],[f970]) ).
fof(f970,plain,
( $false
| spl45_1
| ~ spl45_2
| spl45_20
| spl45_21 ),
inference(subsumption_resolution,[],[f969,f939]) ).
fof(f939,plain,
( sK13(sK27(sK17)) != sK9(sK13(sK27(sK17)))
| spl45_20 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f938,plain,
( spl45_20
<=> sK13(sK27(sK17)) = sK9(sK13(sK27(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_20])]) ).
fof(f969,plain,
( sK13(sK27(sK17)) = sK9(sK13(sK27(sK17)))
| spl45_1
| ~ spl45_2
| spl45_21 ),
inference(subsumption_resolution,[],[f968,f607]) ).
fof(f607,plain,
( ordinal(sK17)
| ~ spl45_2 ),
inference(subsumption_resolution,[],[f606,f344]) ).
fof(f344,plain,
( sP2(sK17)
| ~ spl45_2 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl45_2
<=> sP2(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_2])]) ).
fof(f606,plain,
( ordinal(sK17)
| ~ sP2(sK17)
| ~ spl45_2 ),
inference(superposition,[],[f248,f589]) ).
fof(f589,plain,
( sK17 = sK25(sK17)
| ~ spl45_2 ),
inference(resolution,[],[f344,f249]) ).
fof(f968,plain,
( ~ ordinal(sK17)
| sK13(sK27(sK17)) = sK9(sK13(sK27(sK17)))
| spl45_1
| spl45_21 ),
inference(resolution,[],[f962,f615]) ).
fof(f962,plain,
( ~ sP5(sK13(sK27(sK17)))
| spl45_21 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f960,plain,
( spl45_21
<=> sP5(sK13(sK27(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_21])]) ).
fof(f967,plain,
( ~ spl45_21
| spl45_22
| ~ spl45_19 ),
inference(avatar_split_clause,[],[f944,f934,f964,f960]) ).
fof(f964,plain,
( spl45_22
<=> ordinal(sK13(sK27(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_22])]) ).
fof(f934,plain,
( spl45_19
<=> sK13(sK27(sK17)) = sK20(sK13(sK27(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_19])]) ).
fof(f944,plain,
( ordinal(sK13(sK27(sK17)))
| ~ sP5(sK13(sK27(sK17)))
| ~ spl45_19 ),
inference(superposition,[],[f232,f936]) ).
fof(f936,plain,
( sK13(sK27(sK17)) = sK20(sK13(sK27(sK17)))
| ~ spl45_19 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f941,plain,
( spl45_19
| spl45_20
| spl45_1
| ~ spl45_2 ),
inference(avatar_split_clause,[],[f810,f342,f338,f938,f934]) ).
fof(f810,plain,
( sK13(sK27(sK17)) = sK9(sK13(sK27(sK17)))
| sK13(sK27(sK17)) = sK20(sK13(sK27(sK17)))
| spl45_1
| ~ spl45_2 ),
inference(resolution,[],[f646,f607]) ).
fof(f929,plain,
( spl45_17
| spl45_18
| spl45_1
| ~ spl45_16 ),
inference(avatar_split_clause,[],[f907,f893,f338,f926,f922]) ).
fof(f907,plain,
( ordinal(sK13(sK27(sK12)))
| sP5(sK13(sK27(sK12)))
| spl45_1
| ~ spl45_16 ),
inference(subsumption_resolution,[],[f899,f189]) ).
fof(f899,plain,
( ordinal(sK13(sK27(sK12)))
| ~ ordinal(sK12)
| sP5(sK13(sK27(sK12)))
| spl45_1
| ~ spl45_16 ),
inference(superposition,[],[f616,f895]) ).
fof(f896,plain,
( spl45_15
| spl45_16
| spl45_1 ),
inference(avatar_split_clause,[],[f806,f338,f893,f889]) ).
fof(f877,plain,
( spl45_1
| ~ spl45_12
| spl45_13
| spl45_14 ),
inference(avatar_contradiction_clause,[],[f876]) ).
fof(f876,plain,
( $false
| spl45_1
| ~ spl45_12
| spl45_13
| spl45_14 ),
inference(subsumption_resolution,[],[f875,f839]) ).
fof(f875,plain,
( sP5(sK13(sK27(empty_set)))
| spl45_1
| ~ spl45_12
| spl45_14 ),
inference(subsumption_resolution,[],[f874,f206]) ).
fof(f874,plain,
( ~ ordinal(empty_set)
| sP5(sK13(sK27(empty_set)))
| spl45_1
| ~ spl45_12
| spl45_14 ),
inference(subsumption_resolution,[],[f864,f842]) ).
fof(f842,plain,
( ~ ordinal(sK13(sK27(empty_set)))
| spl45_14 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f864,plain,
( ordinal(sK13(sK27(empty_set)))
| ~ ordinal(empty_set)
| sP5(sK13(sK27(empty_set)))
| spl45_1
| ~ spl45_12 ),
inference(superposition,[],[f616,f830]) ).
fof(f848,plain,
( spl45_1
| spl45_12
| spl45_13 ),
inference(avatar_contradiction_clause,[],[f847]) ).
fof(f847,plain,
( $false
| spl45_1
| spl45_12
| spl45_13 ),
inference(subsumption_resolution,[],[f846,f829]) ).
fof(f829,plain,
( sK13(sK27(empty_set)) != sK9(sK13(sK27(empty_set)))
| spl45_12 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f846,plain,
( sK13(sK27(empty_set)) = sK9(sK13(sK27(empty_set)))
| spl45_1
| spl45_13 ),
inference(subsumption_resolution,[],[f845,f206]) ).
fof(f845,plain,
( ~ ordinal(empty_set)
| sK13(sK27(empty_set)) = sK9(sK13(sK27(empty_set)))
| spl45_1
| spl45_13 ),
inference(resolution,[],[f839,f615]) ).
fof(f844,plain,
( ~ spl45_13
| spl45_14
| ~ spl45_11 ),
inference(avatar_split_clause,[],[f834,f824,f841,f837]) ).
fof(f824,plain,
( spl45_11
<=> sK13(sK27(empty_set)) = sK20(sK13(sK27(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_11])]) ).
fof(f834,plain,
( ordinal(sK13(sK27(empty_set)))
| ~ sP5(sK13(sK27(empty_set)))
| ~ spl45_11 ),
inference(superposition,[],[f232,f826]) ).
fof(f826,plain,
( sK13(sK27(empty_set)) = sK20(sK13(sK27(empty_set)))
| ~ spl45_11 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f831,plain,
( spl45_11
| spl45_12
| spl45_1 ),
inference(avatar_split_clause,[],[f801,f338,f828,f824]) ).
fof(f784,plain,
( spl45_9
| ~ spl45_10 ),
inference(avatar_split_clause,[],[f571,f781,f778]) ).
fof(f778,plain,
( spl45_9
<=> ! [X0] :
( ~ element(X0,powerset(powerset(omega)))
| sP4(X0)
| empty_set = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_9])]) ).
fof(f781,plain,
( spl45_10
<=> in(omega,omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_10])]) ).
fof(f761,plain,
( spl45_1
| spl45_5
| ~ spl45_7 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f760,plain,
( $false
| spl45_1
| spl45_5
| ~ spl45_7 ),
inference(subsumption_resolution,[],[f759,f199]) ).
fof(f759,plain,
( ~ ordinal(omega)
| spl45_1
| spl45_5
| ~ spl45_7 ),
inference(subsumption_resolution,[],[f756,f579]) ).
fof(f756,plain,
( sP5(sK13(sK27(omega)))
| ~ ordinal(omega)
| spl45_1
| ~ spl45_7 ),
inference(resolution,[],[f749,f610]) ).
fof(f749,plain,
( in(sK13(sK27(omega)),sK27(omega))
| ~ spl45_7 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f754,plain,
( spl45_7
| spl45_8
| ~ spl45_4
| spl45_5 ),
inference(avatar_split_clause,[],[f745,f577,f552,f751,f747]) ).
fof(f552,plain,
( spl45_4
<=> sK13(sK27(omega)) = sK9(sK13(sK27(omega))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_4])]) ).
fof(f745,plain,
( sP0(sK19(sK13(sK27(omega))))
| in(sK13(sK27(omega)),sK27(omega))
| ~ spl45_4
| spl45_5 ),
inference(subsumption_resolution,[],[f744,f579]) ).
fof(f744,plain,
( sP5(sK13(sK27(omega)))
| sP0(sK19(sK13(sK27(omega))))
| in(sK13(sK27(omega)),sK27(omega))
| ~ spl45_4 ),
inference(forward_demodulation,[],[f739,f554]) ).
fof(f554,plain,
( sK13(sK27(omega)) = sK9(sK13(sK27(omega)))
| ~ spl45_4 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f739,plain,
( sP0(sK19(sK13(sK27(omega))))
| in(sK13(sK27(omega)),sK27(omega))
| sP5(sK9(sK13(sK27(omega))))
| ~ spl45_4 ),
inference(superposition,[],[f728,f554]) ).
fof(f622,plain,
( spl45_1
| ~ spl45_4
| spl45_5
| spl45_6 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| spl45_1
| ~ spl45_4
| spl45_5
| spl45_6 ),
inference(subsumption_resolution,[],[f620,f199]) ).
fof(f620,plain,
( ~ ordinal(omega)
| spl45_1
| ~ spl45_4
| spl45_5
| spl45_6 ),
inference(subsumption_resolution,[],[f612,f579]) ).
fof(f612,plain,
( sP5(sK13(sK27(omega)))
| ~ ordinal(omega)
| spl45_1
| ~ spl45_4
| spl45_6 ),
inference(resolution,[],[f610,f609]) ).
fof(f609,plain,
( in(sK13(sK27(omega)),sK27(omega))
| ~ spl45_4
| spl45_6 ),
inference(subsumption_resolution,[],[f608,f582]) ).
fof(f582,plain,
( ~ ordinal(sK13(sK27(omega)))
| spl45_6 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f608,plain,
( ordinal(sK13(sK27(omega)))
| in(sK13(sK27(omega)),sK27(omega))
| ~ spl45_4 ),
inference(superposition,[],[f365,f554]) ).
fof(f601,plain,
~ spl45_1,
inference(avatar_contradiction_clause,[],[f600]) ).
fof(f600,plain,
( $false
| ~ spl45_1 ),
inference(subsumption_resolution,[],[f599,f592]) ).
fof(f592,plain,
( sK16 = sK17
| ~ spl45_1 ),
inference(subsumption_resolution,[],[f227,f339]) ).
fof(f339,plain,
( sP6
| ~ spl45_1 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f599,plain,
( sK16 != sK17
| ~ spl45_1 ),
inference(forward_demodulation,[],[f598,f595]) ).
fof(f595,plain,
( sK16 = sK18
| ~ spl45_1 ),
inference(subsumption_resolution,[],[f229,f339]) ).
fof(f598,plain,
( sK17 != sK18
| ~ spl45_1 ),
inference(subsumption_resolution,[],[f231,f339]) ).
fof(f588,plain,
( spl45_1
| spl45_4
| spl45_5 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| spl45_1
| spl45_4
| spl45_5 ),
inference(subsumption_resolution,[],[f586,f553]) ).
fof(f553,plain,
( sK13(sK27(omega)) != sK9(sK13(sK27(omega)))
| spl45_4 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f586,plain,
( sK13(sK27(omega)) = sK9(sK13(sK27(omega)))
| spl45_1
| spl45_5 ),
inference(subsumption_resolution,[],[f585,f199]) ).
fof(f585,plain,
( ~ ordinal(omega)
| sK13(sK27(omega)) = sK9(sK13(sK27(omega)))
| spl45_1
| spl45_5 ),
inference(resolution,[],[f579,f401]) ).
fof(f584,plain,
( ~ spl45_5
| spl45_6
| ~ spl45_3 ),
inference(avatar_split_clause,[],[f556,f548,f581,f577]) ).
fof(f548,plain,
( spl45_3
<=> sK13(sK27(omega)) = sK20(sK13(sK27(omega))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_3])]) ).
fof(f556,plain,
( ordinal(sK13(sK27(omega)))
| ~ sP5(sK13(sK27(omega)))
| ~ spl45_3 ),
inference(superposition,[],[f232,f550]) ).
fof(f550,plain,
( sK13(sK27(omega)) = sK20(sK13(sK27(omega)))
| ~ spl45_3 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f555,plain,
( spl45_3
| spl45_4
| spl45_1 ),
inference(avatar_split_clause,[],[f526,f338,f552,f548]) ).
fof(f345,plain,
( ~ spl45_1
| spl45_2 ),
inference(avatar_split_clause,[],[f228,f342,f338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU299+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:20:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (23016)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (23017)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (23019)WARNING: value z3 for option sas not known
% 0.13/0.37 % (23018)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (23021)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)
% 0.13/0.37 % (23022)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)
% 0.13/0.37 % (23019)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)
% 0.13/0.37 % (23023)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)
% 0.13/0.37 % (23020)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.40 TRYING [4]
% 0.20/0.44 TRYING [1]
% 0.20/0.45 TRYING [2]
% 0.20/0.51 % (23019)First to succeed.
% 0.20/0.53 % (23019)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (23019)------------------------------
% 0.20/0.54 % (23019)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.54 % (23019)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (23019)Memory used [KB]: 2658
% 0.20/0.54 % (23019)Time elapsed: 0.157 s
% 0.20/0.54 % (23019)Instructions burned: 317 (million)
% 0.20/0.54 % (23019)------------------------------
% 0.20/0.54 % (23019)------------------------------
% 0.20/0.54 % (23016)Success in time 0.182 s
%------------------------------------------------------------------------------