TSTP Solution File: SEU364+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU364+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:36:35 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 56
% Syntax : Number of formulae : 429 ( 27 unt; 0 def)
% Number of atoms : 1770 ( 180 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 2089 ( 748 ~; 926 |; 353 &)
% ( 20 <=>; 40 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 13 prp; 0-4 aty)
% Number of functors : 28 ( 28 usr; 7 con; 0-4 aty)
% Number of variables : 862 ( 693 !; 169 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f493,plain,
$false,
inference(avatar_sat_refutation,[],[f182,f252,f270,f273,f322,f331,f334,f358,f366,f368,f381,f411,f422,f442,f449,f469,f471,f474,f477,f479,f481,f484,f486,f488,f490,f492]) ).
fof(f492,plain,
( ~ spl31_8
| spl31_9
| spl31_11 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| ~ spl31_8
| spl31_9
| spl31_11 ),
inference(global_subsumption,[],[f321,f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f237,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f229,f345,f346,f347,f348,f349,f362,f239,f393,f235,f428,f430,f432,f433,f375,f382,f384,f451,f394,f236,f456,f458,f460,f461,f385,f386,f352]) ).
fof(f352,plain,
( ~ in(sK10(sK16(sK7,sK6,sK5)),sK6)
| spl31_9 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f351,plain,
( spl31_9
<=> in(sK10(sK16(sK7,sK6,sK5)),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_9])]) ).
fof(f386,plain,
( in(sK10(sK16(sK7,sK6,sK5)),sK6)
| spl31_11 ),
inference(resolution,[],[f375,f104]) ).
fof(f385,plain,
( ~ in(sK6,sK10(sK16(sK7,sK6,sK5)))
| spl31_11 ),
inference(resolution,[],[f375,f159]) ).
fof(f461,plain,
! [X0] :
( sP3(sK12(the_carrier(X0)),X0)
| sP4(sK15(sK12(the_carrier(X0))),sK12(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(subsumption_resolution,[],[f455,f158]) ).
fof(f455,plain,
! [X0] :
( sP3(sK12(the_carrier(X0)),X0)
| ~ finite(sK15(sK12(the_carrier(X0))))
| sP4(sK15(sK12(the_carrier(X0))),sK12(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f236,f122]) ).
fof(f460,plain,
! [X0] :
( sP3(sK12(the_carrier(X0)),X0)
| sP4(sK13(sK12(the_carrier(X0))),sK12(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(subsumption_resolution,[],[f459,f111]) ).
fof(f459,plain,
! [X0] :
( sP3(sK12(the_carrier(X0)),X0)
| sP4(sK13(sK12(the_carrier(X0))),sK12(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK12(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f454,f115]) ).
fof(f454,plain,
! [X0] :
( sP3(sK12(the_carrier(X0)),X0)
| ~ finite(sK13(sK12(the_carrier(X0))))
| sP4(sK13(sK12(the_carrier(X0))),sK12(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK12(the_carrier(X0))) ),
inference(resolution,[],[f236,f113]) ).
fof(f458,plain,
! [X0] :
( sP3(sK12(the_carrier(X0)),X0)
| sP4(sK12(sK12(the_carrier(X0))),sK12(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(subsumption_resolution,[],[f457,f111]) ).
fof(f457,plain,
! [X0] :
( sP3(sK12(the_carrier(X0)),X0)
| sP4(sK12(sK12(the_carrier(X0))),sK12(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK12(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f453,f112]) ).
fof(f453,plain,
! [X0] :
( sP3(sK12(the_carrier(X0)),X0)
| ~ finite(sK12(sK12(the_carrier(X0))))
| sP4(sK12(sK12(the_carrier(X0))),sK12(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK12(the_carrier(X0))) ),
inference(resolution,[],[f236,f110]) ).
fof(f456,plain,
! [X0] :
( sP3(sK12(the_carrier(X0)),X0)
| ~ finite(sK11(sK12(the_carrier(X0))))
| sP4(sK11(sK12(the_carrier(X0))),sK12(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(subsumption_resolution,[],[f452,f111]) ).
fof(f452,plain,
! [X0] :
( sP3(sK12(the_carrier(X0)),X0)
| ~ finite(sK11(sK12(the_carrier(X0))))
| sP4(sK11(sK12(the_carrier(X0))),sK12(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK12(the_carrier(X0))) ),
inference(resolution,[],[f236,f108]) ).
fof(f236,plain,
! [X0,X1] :
( ~ element(X1,powerset(sK12(the_carrier(X0))))
| sP3(sK12(the_carrier(X0)),X0)
| ~ finite(X1)
| sP4(X1,sK12(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f147,f110]) ).
fof(f394,plain,
( ~ in(powerset(sK7),sK8(sK16(sK7,sK6,sK5)))
| spl31_11 ),
inference(resolution,[],[f384,f124]) ).
fof(f451,plain,
( ~ in(powerset(sK7),sK8(sK16(sK7,sK6,sK5)))
| spl31_11 ),
inference(resolution,[],[f384,f124]) ).
fof(f384,plain,
( in(sK8(sK16(sK7,sK6,sK5)),powerset(sK7))
| spl31_11 ),
inference(resolution,[],[f375,f101]) ).
fof(f382,plain,
( element(sK10(sK16(sK7,sK6,sK5)),the_carrier(sK5))
| spl31_11 ),
inference(resolution,[],[f375,f103]) ).
fof(f375,plain,
( ~ in(sK8(sK16(sK7,sK6,sK5)),sK16(sK7,sK6,sK5))
| spl31_11 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl31_11
<=> in(sK8(sK16(sK7,sK6,sK5)),sK16(sK7,sK6,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_11])]) ).
fof(f433,plain,
! [X0] :
( sP3(sK11(the_carrier(X0)),X0)
| sP4(sK15(sK11(the_carrier(X0))),sK11(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(subsumption_resolution,[],[f427,f158]) ).
fof(f427,plain,
! [X0] :
( sP3(sK11(the_carrier(X0)),X0)
| ~ finite(sK15(sK11(the_carrier(X0))))
| sP4(sK15(sK11(the_carrier(X0))),sK11(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f235,f122]) ).
fof(f432,plain,
! [X0] :
( sP3(sK11(the_carrier(X0)),X0)
| sP4(sK13(sK11(the_carrier(X0))),sK11(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(subsumption_resolution,[],[f431,f109]) ).
fof(f431,plain,
! [X0] :
( sP3(sK11(the_carrier(X0)),X0)
| sP4(sK13(sK11(the_carrier(X0))),sK11(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK11(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f426,f115]) ).
fof(f426,plain,
! [X0] :
( sP3(sK11(the_carrier(X0)),X0)
| ~ finite(sK13(sK11(the_carrier(X0))))
| sP4(sK13(sK11(the_carrier(X0))),sK11(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK11(the_carrier(X0))) ),
inference(resolution,[],[f235,f113]) ).
fof(f430,plain,
! [X0] :
( sP3(sK11(the_carrier(X0)),X0)
| sP4(sK12(sK11(the_carrier(X0))),sK11(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(subsumption_resolution,[],[f429,f109]) ).
fof(f429,plain,
! [X0] :
( sP3(sK11(the_carrier(X0)),X0)
| sP4(sK12(sK11(the_carrier(X0))),sK11(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK11(the_carrier(X0))) ),
inference(subsumption_resolution,[],[f425,f112]) ).
fof(f425,plain,
! [X0] :
( sP3(sK11(the_carrier(X0)),X0)
| ~ finite(sK12(sK11(the_carrier(X0))))
| sP4(sK12(sK11(the_carrier(X0))),sK11(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK11(the_carrier(X0))) ),
inference(resolution,[],[f235,f110]) ).
fof(f428,plain,
! [X0] :
( sP3(sK11(the_carrier(X0)),X0)
| ~ finite(sK11(sK11(the_carrier(X0))))
| sP4(sK11(sK11(the_carrier(X0))),sK11(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(subsumption_resolution,[],[f424,f109]) ).
fof(f424,plain,
! [X0] :
( sP3(sK11(the_carrier(X0)),X0)
| ~ finite(sK11(sK11(the_carrier(X0))))
| sP4(sK11(sK11(the_carrier(X0))),sK11(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK11(the_carrier(X0))) ),
inference(resolution,[],[f235,f108]) ).
fof(f235,plain,
! [X0,X1] :
( ~ element(X1,powerset(sK11(the_carrier(X0))))
| sP3(sK11(the_carrier(X0)),X0)
| ~ finite(X1)
| sP4(X1,sK11(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f147,f108]) ).
fof(f393,plain,
! [X0] :
( sP3(sK15(the_carrier(X0)),X0)
| sP4(sK15(sK15(the_carrier(X0))),sK15(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f392,f158]) ).
fof(f392,plain,
! [X0] :
( sP3(sK15(the_carrier(X0)),X0)
| ~ finite(sK15(sK15(the_carrier(X0))))
| sP4(sK15(sK15(the_carrier(X0))),sK15(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f239,f122]) ).
fof(f239,plain,
! [X0,X1] :
( ~ element(X1,powerset(sK15(the_carrier(X0))))
| sP3(sK15(the_carrier(X0)),X0)
| ~ finite(X1)
| sP4(X1,sK15(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f147,f122]) ).
fof(f362,plain,
( in(sK8(sK16(sK7,sK6,sK5)),sK16(sK7,sK6,sK5))
| spl31_9 ),
inference(resolution,[],[f352,f104]) ).
fof(f349,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK26(X0,X1,X2),X3)
| ~ in(sK25(X0,X1,X2),powerset(X4))
| ~ sP0(X0,X1,X2)
| sK25(X0,X1,X2) = sK21(X0,X3,sK25(X0,X1,X2)) ),
inference(resolution,[],[f229,f134]) ).
fof(f348,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK26(X0,X1,X2),X3)
| ~ in(sK25(X0,X1,X2),powerset(X4))
| ~ sP0(X0,X1,X2)
| in(sK22(X0,X3,sK25(X0,X1,X2)),X3) ),
inference(resolution,[],[f229,f136]) ).
fof(f347,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK26(X0,X1,X2),X3)
| ~ in(sK25(X0,X1,X2),powerset(X4))
| ~ sP0(X0,X1,X2)
| sK25(X0,X1,X2) = sK20(X0,X3,sK25(X0,X1,X2),X4) ),
inference(resolution,[],[f229,f133]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK26(X0,X1,X2),X3)
| ~ in(sK25(X0,X1,X2),powerset(X4))
| ~ sP0(X0,X1,X2)
| element(sK22(X0,X3,sK25(X0,X1,X2)),the_carrier(X0)) ),
inference(resolution,[],[f229,f135]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK26(X0,X1,X2),X3)
| ~ in(sK25(X0,X1,X2),powerset(X4))
| ~ sP0(X0,X1,X2)
| relstr_set_smaller(X0,sK21(X0,X3,sK25(X0,X1,X2)),sK22(X0,X3,sK25(X0,X1,X2))) ),
inference(resolution,[],[f229,f137]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] :
( sP2(X0,X1,sK25(X0,X2,X3),X4)
| ~ in(sK26(X0,X2,X3),X1)
| ~ in(sK25(X0,X2,X3),powerset(X4))
| ~ sP0(X0,X2,X3) ),
inference(subsumption_resolution,[],[f226,f144]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4] :
( sP2(X0,X1,sK25(X0,X2,X3),X4)
| ~ in(sK26(X0,X2,X3),X1)
| ~ element(sK26(X0,X2,X3),the_carrier(X0))
| ~ in(sK25(X0,X2,X3),powerset(X4))
| ~ sP0(X0,X2,X3) ),
inference(resolution,[],[f156,f146]) ).
fof(f313,plain,
! [X0] :
( sK9(sK16(sK13(sK14(X0)),sK14(X0),X0)) = sK8(sK16(sK13(sK14(X0)),sK14(X0),X0))
| sK8(sK16(sK13(sK14(X0)),sK14(X0),X0)) = sK21(X0,sK14(X0),sK8(sK16(sK13(sK14(X0)),sK14(X0),X0)))
| sP3(sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(sK14(X0)) ),
inference(resolution,[],[f278,f300]) ).
fof(f312,plain,
! [X0] :
( sK9(sK16(sK12(sK14(X0)),sK14(X0),X0)) = sK8(sK16(sK12(sK14(X0)),sK14(X0),X0))
| sK8(sK16(sK12(sK14(X0)),sK14(X0),X0)) = sK21(X0,sK14(X0),sK8(sK16(sK12(sK14(X0)),sK14(X0),X0)))
| sP3(sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(sK14(X0)) ),
inference(resolution,[],[f278,f299]) ).
fof(f311,plain,
! [X0] :
( sK9(sK16(sK15(sK14(X0)),sK14(X0),X0)) = sK8(sK16(sK15(sK14(X0)),sK14(X0),X0))
| sK8(sK16(sK15(sK14(X0)),sK14(X0),X0)) = sK21(X0,sK14(X0),sK8(sK16(sK15(sK14(X0)),sK14(X0),X0)))
| sP3(sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f278,f301]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| sK9(sK16(X0,X1,X2)) = sK8(sK16(X0,X1,X2))
| sK8(sK16(X0,X1,X2)) = sK21(X2,X1,sK8(sK16(X0,X1,X2))) ),
inference(resolution,[],[f190,f134]) ).
fof(f308,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK24(X0,X1,X2),X3)
| ~ in(sK23(X0,X1,X2),powerset(X4))
| ~ sP1(X0,X1,X2)
| sK23(X0,X1,X2) = sK21(X0,X3,sK23(X0,X1,X2)) ),
inference(resolution,[],[f228,f134]) ).
fof(f307,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK24(X0,X1,X2),X3)
| ~ in(sK23(X0,X1,X2),powerset(X4))
| ~ sP1(X0,X1,X2)
| in(sK22(X0,X3,sK23(X0,X1,X2)),X3) ),
inference(resolution,[],[f228,f136]) ).
fof(f306,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK24(X0,X1,X2),X3)
| ~ in(sK23(X0,X1,X2),powerset(X4))
| ~ sP1(X0,X1,X2)
| sK23(X0,X1,X2) = sK20(X0,X3,sK23(X0,X1,X2),X4) ),
inference(resolution,[],[f228,f133]) ).
fof(f305,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK24(X0,X1,X2),X3)
| ~ in(sK23(X0,X1,X2),powerset(X4))
| ~ sP1(X0,X1,X2)
| element(sK22(X0,X3,sK23(X0,X1,X2)),the_carrier(X0)) ),
inference(resolution,[],[f228,f135]) ).
fof(f304,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK24(X0,X1,X2),X3)
| ~ in(sK23(X0,X1,X2),powerset(X4))
| ~ sP1(X0,X1,X2)
| relstr_set_smaller(X0,sK21(X0,X3,sK23(X0,X1,X2)),sK22(X0,X3,sK23(X0,X1,X2))) ),
inference(resolution,[],[f228,f137]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4] :
( sP2(X0,X1,sK23(X0,X2,X3),X4)
| ~ in(sK24(X0,X2,X3),X1)
| ~ in(sK23(X0,X2,X3),powerset(X4))
| ~ sP1(X0,X2,X3) ),
inference(subsumption_resolution,[],[f225,f140]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4] :
( sP2(X0,X1,sK23(X0,X2,X3),X4)
| ~ in(sK24(X0,X2,X3),X1)
| ~ element(sK24(X0,X2,X3),the_carrier(X0))
| ~ in(sK23(X0,X2,X3),powerset(X4))
| ~ sP1(X0,X2,X3) ),
inference(resolution,[],[f156,f142]) ).
fof(f303,plain,
! [X2,X3,X0,X1,X4] :
( in(sK10(sK16(X0,X1,X2)),sK6)
| ~ sP4(X0,X1,X2)
| sP2(X2,X3,sK21(X2,X1,sK8(sK16(X0,X1,X2))),X4)
| ~ in(sK22(X2,X1,sK8(sK16(X0,X1,X2))),X3)
| ~ in(sK21(X2,X1,sK8(sK16(X0,X1,X2))),powerset(X4)) ),
inference(subsumption_resolution,[],[f302,f201]) ).
fof(f302,plain,
! [X2,X3,X0,X1,X4] :
( in(sK10(sK16(X0,X1,X2)),sK6)
| ~ sP4(X0,X1,X2)
| sP2(X2,X3,sK21(X2,X1,sK8(sK16(X0,X1,X2))),X4)
| ~ in(sK22(X2,X1,sK8(sK16(X0,X1,X2))),X3)
| ~ element(sK22(X2,X1,sK8(sK16(X0,X1,X2))),the_carrier(X2))
| ~ in(sK21(X2,X1,sK8(sK16(X0,X1,X2))),powerset(X4)) ),
inference(resolution,[],[f200,f156]) ).
fof(f200,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X2,sK21(X2,X1,sK8(sK16(X0,X1,X2))),sK22(X2,X1,sK8(sK16(X0,X1,X2))))
| in(sK10(sK16(X0,X1,X2)),sK6)
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f193,f137]) ).
fof(f300,plain,
! [X0] :
( sP4(sK13(sK14(X0)),sK14(X0),X0)
| sP3(sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(sK14(X0)) ),
inference(subsumption_resolution,[],[f297,f115]) ).
fof(f297,plain,
! [X0] :
( sP3(sK14(X0),X0)
| ~ finite(sK13(sK14(X0)))
| sP4(sK13(sK14(X0)),sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(sK14(X0)) ),
inference(resolution,[],[f244,f113]) ).
fof(f299,plain,
! [X0] :
( sP4(sK12(sK14(X0)),sK14(X0),X0)
| sP3(sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(sK14(X0)) ),
inference(subsumption_resolution,[],[f296,f112]) ).
fof(f296,plain,
! [X0] :
( sP3(sK14(X0),X0)
| ~ finite(sK12(sK14(X0)))
| sP4(sK12(sK14(X0)),sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(sK14(X0)) ),
inference(resolution,[],[f244,f110]) ).
fof(f301,plain,
! [X0] :
( sP4(sK15(sK14(X0)),sK14(X0),X0)
| sP3(sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f298,f158]) ).
fof(f298,plain,
! [X0] :
( sP3(sK14(X0),X0)
| ~ finite(sK15(sK14(X0)))
| sP4(sK15(sK14(X0)),sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f244,f122]) ).
fof(f295,plain,
! [X0] :
( sP3(sK14(X0),X0)
| ~ finite(sK11(sK14(X0)))
| sP4(sK11(sK14(X0)),sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(sK14(X0)) ),
inference(resolution,[],[f244,f108]) ).
fof(f244,plain,
! [X0,X1] :
( ~ element(X1,powerset(sK14(X0)))
| sP3(sK14(X0),X0)
| ~ finite(X1)
| sP4(X1,sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f240,f116]) ).
fof(f240,plain,
! [X0,X1] :
( sP3(sK14(X0),X0)
| ~ element(X1,powerset(sK14(X0)))
| ~ finite(X1)
| sP4(X1,sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(duplicate_literal_removal,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( sP3(sK14(X0),X0)
| ~ element(X1,powerset(sK14(X0)))
| ~ finite(X1)
| sP4(X1,sK14(X0),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f147,f120]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ sP0(X3,sK16(X0,X1,X2),X4)
| sK26(X3,sK16(X0,X1,X2),X4) = sK21(X2,X1,sK26(X3,sK16(X0,X1,X2),X4)) ),
inference(resolution,[],[f195,f134]) ).
fof(f293,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ sP0(X3,sK16(X0,X1,X2),X4)
| in(sK22(X2,X1,sK26(X3,sK16(X0,X1,X2),X4)),X1) ),
inference(resolution,[],[f195,f136]) ).
fof(f292,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ sP0(X3,sK16(X0,X1,X2),X4)
| sK26(X3,sK16(X0,X1,X2),X4) = sK20(X2,X1,sK26(X3,sK16(X0,X1,X2),X4),X0) ),
inference(resolution,[],[f195,f133]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ sP0(X3,sK16(X0,X1,X2),X4)
| element(sK22(X2,X1,sK26(X3,sK16(X0,X1,X2),X4)),the_carrier(X2)) ),
inference(resolution,[],[f195,f135]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ sP0(X3,sK16(X0,X1,X2),X4)
| relstr_set_smaller(X2,sK21(X2,X1,sK26(X3,sK16(X0,X1,X2),X4)),sK22(X2,X1,sK26(X3,sK16(X0,X1,X2),X4))) ),
inference(resolution,[],[f195,f137]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X4] :
( sP2(X0,X1,sK26(X2,sK16(X3,X1,X0),X4),X3)
| ~ sP4(X3,X1,X0)
| ~ sP0(X2,sK16(X3,X1,X0),X4) ),
inference(resolution,[],[f125,f145]) ).
fof(f289,plain,
! [X2,X0,X1] :
( ~ in(powerset(sK7),sK8(sK16(X0,X1,X2)))
| sK8(sK16(X0,X1,X2)) = sK20(X2,X1,sK8(sK16(X0,X1,X2)),X0)
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f217,f124]) ).
fof(f217,plain,
! [X2,X0,X1] :
( in(sK8(sK16(X0,X1,X2)),powerset(sK7))
| ~ sP4(X0,X1,X2)
| sK8(sK16(X0,X1,X2)) = sK20(X2,X1,sK8(sK16(X0,X1,X2)),X0) ),
inference(resolution,[],[f191,f133]) ).
fof(f212,plain,
! [X2,X0,X1] :
( element(sK10(sK16(X0,X1,X2)),the_carrier(sK5))
| ~ sP4(X0,X1,X2)
| sK8(sK16(X0,X1,X2)) = sK20(X2,X1,sK8(sK16(X0,X1,X2)),X0) ),
inference(resolution,[],[f189,f133]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ in(powerset(sK7),sK8(sK16(X0,X1,X2)))
| sK8(sK16(X0,X1,X2)) = sK21(X2,X1,sK8(sK16(X0,X1,X2)))
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f219,f124]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ sP1(X3,sK16(X0,X1,X2),X4)
| sK24(X3,sK16(X0,X1,X2),X4) = sK21(X2,X1,sK24(X3,sK16(X0,X1,X2),X4)) ),
inference(resolution,[],[f194,f134]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ sP1(X3,sK16(X0,X1,X2),X4)
| in(sK22(X2,X1,sK24(X3,sK16(X0,X1,X2),X4)),X1) ),
inference(resolution,[],[f194,f136]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ sP1(X3,sK16(X0,X1,X2),X4)
| sK24(X3,sK16(X0,X1,X2),X4) = sK20(X2,X1,sK24(X3,sK16(X0,X1,X2),X4),X0) ),
inference(resolution,[],[f194,f133]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ sP1(X3,sK16(X0,X1,X2),X4)
| element(sK22(X2,X1,sK24(X3,sK16(X0,X1,X2),X4)),the_carrier(X2)) ),
inference(resolution,[],[f194,f135]) ).
fof(f284,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ sP1(X3,sK16(X0,X1,X2),X4)
| relstr_set_smaller(X2,sK21(X2,X1,sK24(X3,sK16(X0,X1,X2),X4)),sK22(X2,X1,sK24(X3,sK16(X0,X1,X2),X4))) ),
inference(resolution,[],[f194,f137]) ).
fof(f194,plain,
! [X2,X3,X0,X1,X4] :
( sP2(X0,X1,sK24(X2,sK16(X3,X1,X0),X4),X3)
| ~ sP4(X3,X1,X0)
| ~ sP1(X2,sK16(X3,X1,X0),X4) ),
inference(resolution,[],[f125,f141]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ in(sK6,sK10(sK16(X0,X1,X2)))
| ~ sP4(X0,X1,X2)
| sK8(sK16(X0,X1,X2)) = sK20(X2,X1,sK8(sK16(X0,X1,X2)),X0) ),
inference(resolution,[],[f192,f133]) ).
fof(f275,plain,
! [X2,X0,X1] :
( element(sK22(X2,X1,sK8(sK16(X0,X1,X2))),the_carrier(X2))
| sK9(sK16(X0,X1,X2)) = sK8(sK16(X0,X1,X2))
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f190,f135]) ).
fof(f219,plain,
! [X2,X0,X1] :
( in(sK8(sK16(X0,X1,X2)),powerset(sK7))
| ~ sP4(X0,X1,X2)
| sK8(sK16(X0,X1,X2)) = sK21(X2,X1,sK8(sK16(X0,X1,X2))) ),
inference(resolution,[],[f191,f134]) ).
fof(f214,plain,
! [X2,X0,X1] :
( element(sK10(sK16(X0,X1,X2)),the_carrier(sK5))
| ~ sP4(X0,X1,X2)
| sK8(sK16(X0,X1,X2)) = sK21(X2,X1,sK8(sK16(X0,X1,X2))) ),
inference(resolution,[],[f189,f134]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| sK8(sK16(X0,X1,X2)) = sK20(X2,X1,sK8(sK16(X0,X1,X2)),X0)
| ~ in(sK6,sK10(sK16(X0,X1,X2))) ),
inference(resolution,[],[f202,f124]) ).
fof(f202,plain,
! [X2,X0,X1] :
( in(sK10(sK16(X0,X1,X2)),sK6)
| ~ sP4(X0,X1,X2)
| sK8(sK16(X0,X1,X2)) = sK20(X2,X1,sK8(sK16(X0,X1,X2)),X0) ),
inference(resolution,[],[f193,f133]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ in(X1,sK22(X2,X1,sK8(sK16(X0,X1,X2))))
| ~ sP4(X0,X1,X2)
| sK9(sK16(X0,X1,X2)) = sK8(sK16(X0,X1,X2)) ),
inference(resolution,[],[f277,f124]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ in(sK6,sK10(sK16(X0,X1,X2)))
| ~ sP4(X0,X1,X2)
| sK8(sK16(X0,X1,X2)) = sK21(X2,X1,sK8(sK16(X0,X1,X2))) ),
inference(resolution,[],[f192,f134]) ).
fof(f281,plain,
! [X2,X3,X0,X1,X4] :
( sK8(sK16(X0,sK16(X1,X2,X3),X4)) = sK9(sK16(X0,sK16(X1,X2,X3),X4))
| ~ sP4(X0,sK16(X1,X2,X3),X4)
| sP2(X3,X2,sK22(X4,sK16(X1,X2,X3),sK8(sK16(X0,sK16(X1,X2,X3),X4))),X1)
| ~ sP4(X1,X2,X3) ),
inference(resolution,[],[f277,f125]) ).
fof(f277,plain,
! [X2,X0,X1] :
( in(sK22(X2,X1,sK8(sK16(X0,X1,X2))),X1)
| sK9(sK16(X0,X1,X2)) = sK8(sK16(X0,X1,X2))
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f190,f136]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| sK8(sK16(X0,X1,X2)) = sK21(X2,X1,sK8(sK16(X0,X1,X2)))
| ~ in(sK6,sK10(sK16(X0,X1,X2))) ),
inference(resolution,[],[f204,f124]) ).
fof(f204,plain,
! [X2,X0,X1] :
( in(sK10(sK16(X0,X1,X2)),sK6)
| ~ sP4(X0,X1,X2)
| sK8(sK16(X0,X1,X2)) = sK21(X2,X1,sK8(sK16(X0,X1,X2))) ),
inference(resolution,[],[f193,f134]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| sK9(sK16(X0,X1,X2)) = sK8(sK16(X0,X1,X2))
| sK8(sK16(X0,X1,X2)) = sK20(X2,X1,sK8(sK16(X0,X1,X2)),X0) ),
inference(resolution,[],[f190,f133]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| sK9(sK16(X0,X1,X2)) = sK8(sK16(X0,X1,X2))
| relstr_set_smaller(X2,sK21(X2,X1,sK8(sK16(X0,X1,X2))),sK22(X2,X1,sK8(sK16(X0,X1,X2)))) ),
inference(resolution,[],[f190,f137]) ).
fof(f190,plain,
! [X2,X0,X1] :
( sP2(X0,X1,sK8(sK16(X2,X1,X0)),X2)
| ~ sP4(X2,X1,X0)
| sK8(sK16(X2,X1,X0)) = sK9(sK16(X2,X1,X0)) ),
inference(resolution,[],[f125,f102]) ).
fof(f243,plain,
! [X0] :
( sP3(sK6,sK5)
| ~ element(X0,powerset(sK6))
| ~ finite(X0)
| sP4(X0,sK6,sK5) ),
inference(subsumption_resolution,[],[f242,f95]) ).
fof(f242,plain,
! [X0] :
( sP3(sK6,sK5)
| ~ element(X0,powerset(sK6))
| ~ finite(X0)
| sP4(X0,sK6,sK5)
| empty_carrier(sK5) ),
inference(subsumption_resolution,[],[f241,f96]) ).
fof(f241,plain,
! [X0] :
( sP3(sK6,sK5)
| ~ element(X0,powerset(sK6))
| ~ finite(X0)
| sP4(X0,sK6,sK5)
| ~ transitive_relstr(sK5)
| empty_carrier(sK5) ),
inference(subsumption_resolution,[],[f234,f97]) ).
fof(f234,plain,
! [X0] :
( sP3(sK6,sK5)
| ~ element(X0,powerset(sK6))
| ~ finite(X0)
| sP4(X0,sK6,sK5)
| ~ rel_str(sK5)
| ~ transitive_relstr(sK5)
| empty_carrier(sK5) ),
inference(resolution,[],[f147,f98]) ).
fof(f237,plain,
! [X0,X1] :
( sP3(sK13(the_carrier(X0)),X0)
| ~ element(X1,powerset(sK13(the_carrier(X0))))
| ~ finite(X1)
| sP4(X1,sK13(the_carrier(X0)),X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f147,f113]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| sP3(X1,X0)
| ~ element(X2,powerset(X1))
| ~ finite(X2)
| sP4(X2,X1,X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( sP4(X2,X1,X0)
| sP3(X1,X0)
| ~ element(X2,powerset(X1))
| ~ finite(X2)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(definition_folding,[],[f38,f43,f42,f41,f40,f39]) ).
fof(f39,plain,
! [X0,X1,X4] :
( ? [X8] :
( ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& X4 = X8 )
| ~ sP0(X0,X1,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f40,plain,
! [X0,X1,X5] :
( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& in(X7,X1)
& element(X7,the_carrier(X0)) )
& X5 = X6 )
| ~ sP1(X0,X1,X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f41,plain,
! [X0,X1,X11,X2] :
( sP2(X0,X1,X11,X2)
<=> ? [X12] :
( ? [X13] :
( ? [X14] :
( relstr_set_smaller(X0,X13,X14)
& in(X14,X1)
& element(X14,the_carrier(X0)) )
& X11 = X13 )
& X11 = X12
& in(X12,powerset(X2)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f42,plain,
! [X1,X0] :
( ? [X3,X4,X5] :
( X4 != X5
& sP1(X0,X1,X5)
& X3 = X5
& sP0(X0,X1,X4)
& X3 = X4 )
| ~ sP3(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f43,plain,
! [X2,X1,X0] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> sP2(X0,X1,X11,X2) )
| ~ sP4(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( ? [X13] :
( ? [X14] :
( relstr_set_smaller(X0,X13,X14)
& in(X14,X1)
& element(X14,the_carrier(X0)) )
& X11 = X13 )
& X11 = X12
& in(X12,powerset(X2)) ) )
| ? [X3,X4,X5] :
( X4 != X5
& ? [X6] :
( ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& in(X7,X1)
& element(X7,the_carrier(X0)) )
& X5 = X6 )
& X3 = X5
& ? [X8] :
( ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& X4 = X8 )
& X3 = X4 )
| ~ element(X2,powerset(X1))
| ~ finite(X2)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( ? [X13] :
( ? [X14] :
( relstr_set_smaller(X0,X13,X14)
& in(X14,X1)
& element(X14,the_carrier(X0)) )
& X11 = X13 )
& X11 = X12
& in(X12,powerset(X2)) ) )
| ? [X3,X4,X5] :
( X4 != X5
& ? [X6] :
( ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& in(X7,X1)
& element(X7,the_carrier(X0)) )
& X5 = X6 )
& X3 = X5
& ? [X8] :
( ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& X4 = X8 )
& X3 = X4 )
| ~ element(X2,powerset(X1))
| ~ finite(X2)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( element(X2,powerset(X1))
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& rel_str(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ! [X3,X4,X5] :
( ( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& in(X7,X1)
& element(X7,the_carrier(X0)) )
& X5 = X6 )
& X3 = X5
& ? [X8] :
( ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& X4 = X8 )
& X3 = X4 )
=> X4 = X5 )
=> ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( ? [X13] :
( ? [X14] :
( relstr_set_smaller(X0,X13,X14)
& in(X14,X1)
& element(X14,the_carrier(X0)) )
& X11 = X13 )
& X11 = X12
& in(X12,powerset(X2)) ) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( element(X2,powerset(X1))
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& rel_str(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ! [X3,X4,X5] :
( ( ? [X8] :
( ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& X5 = X8 )
& X3 = X5
& ? [X6] :
( ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& in(X7,X1)
& element(X7,the_carrier(X0)) )
& X4 = X6 )
& X3 = X4 )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( ? [X10] :
( ? [X11] :
( relstr_set_smaller(X0,X10,X11)
& in(X11,X1)
& element(X11,the_carrier(X0)) )
& X4 = X10 )
& X4 = X5
& in(X5,powerset(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e11_2_1__waybel_0__1) ).
fof(f216,plain,
! [X2,X0,X1] :
( element(sK22(X2,X1,sK8(sK16(X0,X1,X2))),the_carrier(X2))
| in(sK8(sK16(X0,X1,X2)),powerset(sK7))
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f191,f135]) ).
fof(f211,plain,
! [X2,X0,X1] :
( element(sK22(X2,X1,sK8(sK16(X0,X1,X2))),the_carrier(X2))
| element(sK10(sK16(X0,X1,X2)),the_carrier(sK5))
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f189,f135]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ in(X1,sK22(X2,X1,sK8(sK16(X0,X1,X2))))
| ~ sP4(X0,X1,X2)
| in(sK8(sK16(X0,X1,X2)),powerset(sK7)) ),
inference(resolution,[],[f218,f124]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ in(X1,sK22(X2,X1,sK8(sK16(X0,X1,X2))))
| ~ sP4(X0,X1,X2)
| element(sK10(sK16(X0,X1,X2)),the_carrier(sK5)) ),
inference(resolution,[],[f213,f124]) ).
fof(f206,plain,
! [X2,X0,X1] :
( element(sK22(X2,X1,sK8(sK16(X0,X1,X2))),the_carrier(X2))
| ~ in(sK6,sK10(sK16(X0,X1,X2)))
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f192,f135]) ).
fof(f233,plain,
! [X2,X3,X0,X1,X4] :
( in(sK8(sK16(X0,sK16(X1,X2,X3),X4)),powerset(sK7))
| ~ sP4(X0,sK16(X1,X2,X3),X4)
| sP2(X3,X2,sK22(X4,sK16(X1,X2,X3),sK8(sK16(X0,sK16(X1,X2,X3),X4))),X1)
| ~ sP4(X1,X2,X3) ),
inference(resolution,[],[f218,f125]) ).
fof(f218,plain,
! [X2,X0,X1] :
( in(sK22(X2,X1,sK8(sK16(X0,X1,X2))),X1)
| in(sK8(sK16(X0,X1,X2)),powerset(sK7))
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f191,f136]) ).
fof(f231,plain,
! [X2,X3,X0,X1,X4] :
( element(sK10(sK16(X0,sK16(X1,X2,X3),X4)),the_carrier(sK5))
| ~ sP4(X0,sK16(X1,X2,X3),X4)
| sP2(X3,X2,sK22(X4,sK16(X1,X2,X3),sK8(sK16(X0,sK16(X1,X2,X3),X4))),X1)
| ~ sP4(X1,X2,X3) ),
inference(resolution,[],[f213,f125]) ).
fof(f213,plain,
! [X2,X0,X1] :
( in(sK22(X2,X1,sK8(sK16(X0,X1,X2))),X1)
| element(sK10(sK16(X0,X1,X2)),the_carrier(sK5))
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f189,f136]) ).
fof(f201,plain,
! [X2,X0,X1] :
( element(sK22(X2,X1,sK8(sK16(X0,X1,X2))),the_carrier(X2))
| in(sK10(sK16(X0,X1,X2)),sK6)
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f193,f135]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ in(X1,sK22(X2,X1,sK8(sK16(X0,X1,X2))))
| ~ sP4(X0,X1,X2)
| ~ in(sK6,sK10(sK16(X0,X1,X2))) ),
inference(resolution,[],[f208,f124]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ in(X1,sK22(X2,X1,sK8(sK16(X0,X1,X2))))
| ~ sP4(X0,X1,X2)
| in(sK10(sK16(X0,X1,X2)),sK6) ),
inference(resolution,[],[f203,f124]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ in(sK9(X1),powerset(X2))
| ~ in(sK10(X1),X0)
| sP2(sK5,X0,sK9(X1),X2)
| in(sK8(X1),X1) ),
inference(subsumption_resolution,[],[f224,f103]) ).
fof(f224,plain,
! [X2,X0,X1] :
( sP2(sK5,X0,sK9(X1),X2)
| ~ in(sK10(X1),X0)
| ~ element(sK10(X1),the_carrier(sK5))
| ~ in(sK9(X1),powerset(X2))
| in(sK8(X1),X1) ),
inference(resolution,[],[f156,f105]) ).
fof(f156,plain,
! [X3,X0,X1,X6,X5] :
( ~ relstr_set_smaller(X0,X5,X6)
| sP2(X0,X1,X5,X3)
| ~ in(X6,X1)
| ~ element(X6,the_carrier(X0))
| ~ in(X5,powerset(X3)) ),
inference(equality_resolution,[],[f155]) ).
fof(f155,plain,
! [X3,X0,X1,X6,X4,X5] :
( sP2(X0,X1,X5,X3)
| ~ relstr_set_smaller(X0,X5,X6)
| ~ in(X6,X1)
| ~ element(X6,the_carrier(X0))
| X4 != X5
| ~ in(X4,powerset(X3)) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP2(X0,X1,X2,X3)
| ~ relstr_set_smaller(X0,X5,X6)
| ~ in(X6,X1)
| ~ element(X6,the_carrier(X0))
| X2 != X5
| X2 != X4
| ~ in(X4,powerset(X3)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ( sP2(X0,X1,X2,X3)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ relstr_set_smaller(X0,X5,X6)
| ~ in(X6,X1)
| ~ element(X6,the_carrier(X0)) )
| X2 != X5 )
| X2 != X4
| ~ in(X4,powerset(X3)) ) )
& ( ( relstr_set_smaller(X0,sK21(X0,X1,X2),sK22(X0,X1,X2))
& in(sK22(X0,X1,X2),X1)
& element(sK22(X0,X1,X2),the_carrier(X0))
& sK21(X0,X1,X2) = X2
& sK20(X0,X1,X2,X3) = X2
& in(sK20(X0,X1,X2,X3),powerset(X3)) )
| ~ sP2(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f72,f75,f74,f73]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& X2 = X8 )
& X2 = X7
& in(X7,powerset(X3)) )
=> ( ? [X8] :
( ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& X2 = X8 )
& sK20(X0,X1,X2,X3) = X2
& in(sK20(X0,X1,X2,X3),powerset(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ? [X8] :
( ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& X2 = X8 )
=> ( ? [X9] :
( relstr_set_smaller(X0,sK21(X0,X1,X2),X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& sK21(X0,X1,X2) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ? [X9] :
( relstr_set_smaller(X0,sK21(X0,X1,X2),X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
=> ( relstr_set_smaller(X0,sK21(X0,X1,X2),sK22(X0,X1,X2))
& in(sK22(X0,X1,X2),X1)
& element(sK22(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ( sP2(X0,X1,X2,X3)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ relstr_set_smaller(X0,X5,X6)
| ~ in(X6,X1)
| ~ element(X6,the_carrier(X0)) )
| X2 != X5 )
| X2 != X4
| ~ in(X4,powerset(X3)) ) )
& ( ? [X7] :
( ? [X8] :
( ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& X2 = X8 )
& X2 = X7
& in(X7,powerset(X3)) )
| ~ sP2(X0,X1,X2,X3) ) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X11,X2] :
( ( sP2(X0,X1,X11,X2)
| ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ relstr_set_smaller(X0,X13,X14)
| ~ in(X14,X1)
| ~ element(X14,the_carrier(X0)) )
| X11 != X13 )
| X11 != X12
| ~ in(X12,powerset(X2)) ) )
& ( ? [X12] :
( ? [X13] :
( ? [X14] :
( relstr_set_smaller(X0,X13,X14)
& in(X14,X1)
& element(X14,the_carrier(X0)) )
& X11 = X13 )
& X11 = X12
& in(X12,powerset(X2)) )
| ~ sP2(X0,X1,X11,X2) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK6,sK10(sK16(X0,sK16(X1,X2,X3),X4)))
| ~ sP4(X0,sK16(X1,X2,X3),X4)
| sP2(X3,X2,sK22(X4,sK16(X1,X2,X3),sK8(sK16(X0,sK16(X1,X2,X3),X4))),X1)
| ~ sP4(X1,X2,X3) ),
inference(resolution,[],[f208,f125]) ).
fof(f208,plain,
! [X2,X0,X1] :
( in(sK22(X2,X1,sK8(sK16(X0,X1,X2))),X1)
| ~ in(sK6,sK10(sK16(X0,X1,X2)))
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f192,f136]) ).
fof(f221,plain,
! [X2,X3,X0,X1,X4] :
( in(sK10(sK16(X0,sK16(X1,X2,X3),X4)),sK6)
| ~ sP4(X0,sK16(X1,X2,X3),X4)
| sP2(X3,X2,sK22(X4,sK16(X1,X2,X3),sK8(sK16(X0,sK16(X1,X2,X3),X4))),X1)
| ~ sP4(X1,X2,X3) ),
inference(resolution,[],[f203,f125]) ).
fof(f203,plain,
! [X2,X0,X1] :
( in(sK22(X2,X1,sK8(sK16(X0,X1,X2))),X1)
| in(sK10(sK16(X0,X1,X2)),sK6)
| ~ sP4(X0,X1,X2) ),
inference(resolution,[],[f193,f136]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| in(sK8(sK16(X0,X1,X2)),powerset(sK7))
| relstr_set_smaller(X2,sK21(X2,X1,sK8(sK16(X0,X1,X2))),sK22(X2,X1,sK8(sK16(X0,X1,X2)))) ),
inference(resolution,[],[f191,f137]) ).
fof(f191,plain,
! [X2,X0,X1] :
( sP2(X0,X1,sK8(sK16(X2,X1,X0)),X2)
| ~ sP4(X2,X1,X0)
| in(sK8(sK16(X2,X1,X0)),powerset(sK7)) ),
inference(resolution,[],[f125,f101]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| element(sK10(sK16(X0,X1,X2)),the_carrier(sK5))
| relstr_set_smaller(X2,sK21(X2,X1,sK8(sK16(X0,X1,X2))),sK22(X2,X1,sK8(sK16(X0,X1,X2)))) ),
inference(resolution,[],[f189,f137]) ).
fof(f189,plain,
! [X2,X0,X1] :
( sP2(X0,X1,sK8(sK16(X2,X1,X0)),X2)
| ~ sP4(X2,X1,X0)
| element(sK10(sK16(X2,X1,X0)),the_carrier(sK5)) ),
inference(resolution,[],[f125,f103]) ).
fof(f154,plain,
! [X3,X6] :
( ~ relstr_set_smaller(sK5,sK8(X3),X6)
| ~ in(X6,sK6)
| ~ element(X6,the_carrier(sK5))
| ~ in(sK8(X3),powerset(sK7))
| ~ in(sK8(X3),X3) ),
inference(equality_resolution,[],[f106]) ).
fof(f106,plain,
! [X3,X6,X5] :
( ~ relstr_set_smaller(sK5,X5,X6)
| ~ in(X6,sK6)
| ~ element(X6,the_carrier(sK5))
| sK8(X3) != X5
| ~ in(sK8(X3),powerset(sK7))
| ~ in(sK8(X3),X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ! [X3] :
( ( ! [X5] :
( ! [X6] :
( ~ relstr_set_smaller(sK5,X5,X6)
| ~ in(X6,sK6)
| ~ element(X6,the_carrier(sK5)) )
| sK8(X3) != X5 )
| ~ in(sK8(X3),powerset(sK7))
| ~ in(sK8(X3),X3) )
& ( ( relstr_set_smaller(sK5,sK9(X3),sK10(X3))
& in(sK10(X3),sK6)
& element(sK10(X3),the_carrier(sK5))
& sK8(X3) = sK9(X3)
& in(sK8(X3),powerset(sK7)) )
| in(sK8(X3),X3) ) )
& element(sK7,powerset(sK6))
& finite(sK7)
& element(sK6,powerset(the_carrier(sK5)))
& rel_str(sK5)
& transitive_relstr(sK5)
& ~ empty_carrier(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10])],[f47,f51,f50,f49,f48]) ).
fof(f48,plain,
( ? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ! [X5] :
( ! [X6] :
( ~ relstr_set_smaller(X0,X5,X6)
| ~ in(X6,X1)
| ~ element(X6,the_carrier(X0)) )
| X4 != X5 )
| ~ in(X4,powerset(X2))
| ~ in(X4,X3) )
& ( ( ? [X7] :
( ? [X8] :
( relstr_set_smaller(X0,X7,X8)
& in(X8,X1)
& element(X8,the_carrier(X0)) )
& X4 = X7 )
& in(X4,powerset(X2)) )
| in(X4,X3) ) )
& element(X2,powerset(X1))
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& rel_str(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ! [X3] :
? [X4] :
( ( ! [X5] :
( ! [X6] :
( ~ relstr_set_smaller(sK5,X5,X6)
| ~ in(X6,sK6)
| ~ element(X6,the_carrier(sK5)) )
| X4 != X5 )
| ~ in(X4,powerset(sK7))
| ~ in(X4,X3) )
& ( ( ? [X7] :
( ? [X8] :
( relstr_set_smaller(sK5,X7,X8)
& in(X8,sK6)
& element(X8,the_carrier(sK5)) )
& X4 = X7 )
& in(X4,powerset(sK7)) )
| in(X4,X3) ) )
& element(sK7,powerset(sK6))
& finite(sK7)
& element(sK6,powerset(the_carrier(sK5)))
& rel_str(sK5)
& transitive_relstr(sK5)
& ~ empty_carrier(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X3] :
( ? [X4] :
( ( ! [X5] :
( ! [X6] :
( ~ relstr_set_smaller(sK5,X5,X6)
| ~ in(X6,sK6)
| ~ element(X6,the_carrier(sK5)) )
| X4 != X5 )
| ~ in(X4,powerset(sK7))
| ~ in(X4,X3) )
& ( ( ? [X7] :
( ? [X8] :
( relstr_set_smaller(sK5,X7,X8)
& in(X8,sK6)
& element(X8,the_carrier(sK5)) )
& X4 = X7 )
& in(X4,powerset(sK7)) )
| in(X4,X3) ) )
=> ( ( ! [X5] :
( ! [X6] :
( ~ relstr_set_smaller(sK5,X5,X6)
| ~ in(X6,sK6)
| ~ element(X6,the_carrier(sK5)) )
| sK8(X3) != X5 )
| ~ in(sK8(X3),powerset(sK7))
| ~ in(sK8(X3),X3) )
& ( ( ? [X7] :
( ? [X8] :
( relstr_set_smaller(sK5,X7,X8)
& in(X8,sK6)
& element(X8,the_carrier(sK5)) )
& sK8(X3) = X7 )
& in(sK8(X3),powerset(sK7)) )
| in(sK8(X3),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X3] :
( ? [X7] :
( ? [X8] :
( relstr_set_smaller(sK5,X7,X8)
& in(X8,sK6)
& element(X8,the_carrier(sK5)) )
& sK8(X3) = X7 )
=> ( ? [X8] :
( relstr_set_smaller(sK5,sK9(X3),X8)
& in(X8,sK6)
& element(X8,the_carrier(sK5)) )
& sK8(X3) = sK9(X3) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X3] :
( ? [X8] :
( relstr_set_smaller(sK5,sK9(X3),X8)
& in(X8,sK6)
& element(X8,the_carrier(sK5)) )
=> ( relstr_set_smaller(sK5,sK9(X3),sK10(X3))
& in(sK10(X3),sK6)
& element(sK10(X3),the_carrier(sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ! [X5] :
( ! [X6] :
( ~ relstr_set_smaller(X0,X5,X6)
| ~ in(X6,X1)
| ~ element(X6,the_carrier(X0)) )
| X4 != X5 )
| ~ in(X4,powerset(X2))
| ~ in(X4,X3) )
& ( ( ? [X7] :
( ? [X8] :
( relstr_set_smaller(X0,X7,X8)
& in(X8,X1)
& element(X8,the_carrier(X0)) )
& X4 = X7 )
& in(X4,powerset(X2)) )
| in(X4,X3) ) )
& element(X2,powerset(X1))
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& rel_str(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ! [X5] :
( ! [X6] :
( ~ relstr_set_smaller(X0,X5,X6)
| ~ in(X6,X1)
| ~ element(X6,the_carrier(X0)) )
| X4 != X5 )
| ~ in(X4,powerset(X2))
| ~ in(X4,X3) )
& ( ( ? [X5] :
( ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
& X4 = X5 )
& in(X4,powerset(X2)) )
| in(X4,X3) ) )
& element(X2,powerset(X1))
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& rel_str(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ! [X5] :
( ! [X6] :
( ~ relstr_set_smaller(X0,X5,X6)
| ~ in(X6,X1)
| ~ element(X6,the_carrier(X0)) )
| X4 != X5 )
| ~ in(X4,powerset(X2))
| ~ in(X4,X3) )
& ( ( ? [X5] :
( ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
& X4 = X5 )
& in(X4,powerset(X2)) )
| in(X4,X3) ) )
& element(X2,powerset(X1))
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& rel_str(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( in(X4,X3)
<~> ( ? [X5] :
( ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
& X4 = X5 )
& in(X4,powerset(X2)) ) )
& element(X2,powerset(X1))
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& rel_str(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( in(X4,X3)
<~> ( ? [X5] :
( ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
& X4 = X5 )
& in(X4,powerset(X2)) ) )
& element(X2,powerset(X1))
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& rel_str(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( element(X2,powerset(X1))
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& rel_str(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( ? [X5] :
( ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
& X4 = X5 )
& in(X4,powerset(X2)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2] :
( ( element(X2,powerset(X1))
& finite(X2)
& element(X1,powerset(the_carrier(X0)))
& rel_str(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( ? [X5] :
( ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& in(X6,X1)
& element(X6,the_carrier(X0)) )
& X4 = X5 )
& in(X4,powerset(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e11_2_1__waybel_0__1) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| ~ in(sK6,sK10(sK16(X0,X1,X2)))
| relstr_set_smaller(X2,sK21(X2,X1,sK8(sK16(X0,X1,X2))),sK22(X2,X1,sK8(sK16(X0,X1,X2)))) ),
inference(resolution,[],[f192,f137]) ).
fof(f192,plain,
! [X2,X0,X1] :
( sP2(X0,X1,sK8(sK16(X2,X1,X0)),X2)
| ~ sP4(X2,X1,X0)
| ~ in(sK6,sK10(sK16(X2,X1,X0))) ),
inference(resolution,[],[f125,f159]) ).
fof(f193,plain,
! [X2,X0,X1] :
( sP2(X0,X1,sK8(sK16(X2,X1,X0)),X2)
| ~ sP4(X2,X1,X0)
| in(sK10(sK16(X2,X1,X0)),sK6) ),
inference(resolution,[],[f125,f104]) ).
fof(f199,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP4(X0,X1,X2)
| ~ sP2(X2,X1,sK16(X3,X4,X5),X0)
| ~ sP2(X5,X4,sK16(X0,X1,X2),X3)
| ~ sP4(X3,X4,X5) ),
inference(resolution,[],[f197,f126]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( ~ in(sK16(X3,X1,X0),X2)
| ~ sP4(X3,X1,X0)
| ~ sP2(X0,X1,X2,X3) ),
inference(resolution,[],[f126,f124]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| relstr_set_smaller(X0,sK21(X0,X1,X2),sK22(X0,X1,X2)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f126,plain,
! [X2,X0,X1,X4] :
( in(X4,sK16(X0,X1,X2))
| ~ sP2(X2,X1,X4,X0)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( in(X4,sK16(X0,X1,X2))
| ~ sP2(X2,X1,X4,X0) )
& ( sP2(X2,X1,X4,X0)
| ~ in(X4,sK16(X0,X1,X2)) ) )
| ~ sP4(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f64,f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ~ sP2(X2,X1,X4,X0) )
& ( sP2(X2,X1,X4,X0)
| ~ in(X4,X3) ) )
=> ! [X4] :
( ( in(X4,sK16(X0,X1,X2))
| ~ sP2(X2,X1,X4,X0) )
& ( sP2(X2,X1,X4,X0)
| ~ in(X4,sK16(X0,X1,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ~ sP2(X2,X1,X4,X0) )
& ( sP2(X2,X1,X4,X0)
| ~ in(X4,X3) ) )
| ~ sP4(X0,X1,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X2,X1,X0] :
( ? [X10] :
! [X11] :
( ( in(X11,X10)
| ~ sP2(X0,X1,X11,X2) )
& ( sP2(X0,X1,X11,X2)
| ~ in(X11,X10) ) )
| ~ sP4(X2,X1,X0) ),
inference(nnf_transformation,[],[f43]) ).
fof(f125,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK16(X0,X1,X2))
| sP2(X2,X1,X4,X0)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f146,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,sK25(X0,X1,X2),sK26(X0,X1,X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( relstr_set_smaller(X0,sK25(X0,X1,X2),sK26(X0,X1,X2))
& in(sK26(X0,X1,X2),X1)
& element(sK26(X0,X1,X2),the_carrier(X0))
& sK25(X0,X1,X2) = X2 )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f83,f85,f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( relstr_set_smaller(X0,X3,X4)
& in(X4,X1)
& element(X4,the_carrier(X0)) )
& X2 = X3 )
=> ( ? [X4] :
( relstr_set_smaller(X0,sK25(X0,X1,X2),X4)
& in(X4,X1)
& element(X4,the_carrier(X0)) )
& sK25(X0,X1,X2) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ? [X4] :
( relstr_set_smaller(X0,sK25(X0,X1,X2),X4)
& in(X4,X1)
& element(X4,the_carrier(X0)) )
=> ( relstr_set_smaller(X0,sK25(X0,X1,X2),sK26(X0,X1,X2))
& in(sK26(X0,X1,X2),X1)
& element(sK26(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( relstr_set_smaller(X0,X3,X4)
& in(X4,X1)
& element(X4,the_carrier(X0)) )
& X2 = X3 )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X4] :
( ? [X8] :
( ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& in(X9,X1)
& element(X9,the_carrier(X0)) )
& X4 = X8 )
| ~ sP0(X0,X1,X4) ),
inference(nnf_transformation,[],[f39]) ).
fof(f142,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,sK23(X0,X1,X2),sK24(X0,X1,X2))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( relstr_set_smaller(X0,sK23(X0,X1,X2),sK24(X0,X1,X2))
& in(sK24(X0,X1,X2),X1)
& element(sK24(X0,X1,X2),the_carrier(X0))
& sK23(X0,X1,X2) = X2 )
| ~ sP1(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f78,f80,f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( relstr_set_smaller(X0,X3,X4)
& in(X4,X1)
& element(X4,the_carrier(X0)) )
& X2 = X3 )
=> ( ? [X4] :
( relstr_set_smaller(X0,sK23(X0,X1,X2),X4)
& in(X4,X1)
& element(X4,the_carrier(X0)) )
& sK23(X0,X1,X2) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ? [X4] :
( relstr_set_smaller(X0,sK23(X0,X1,X2),X4)
& in(X4,X1)
& element(X4,the_carrier(X0)) )
=> ( relstr_set_smaller(X0,sK23(X0,X1,X2),sK24(X0,X1,X2))
& in(sK24(X0,X1,X2),X1)
& element(sK24(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( relstr_set_smaller(X0,X3,X4)
& in(X4,X1)
& element(X4,the_carrier(X0)) )
& X2 = X3 )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X5] :
( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X0,X6,X7)
& in(X7,X1)
& element(X7,the_carrier(X0)) )
& X5 = X6 )
| ~ sP1(X0,X1,X5) ),
inference(nnf_transformation,[],[f40]) ).
fof(f188,plain,
! [X2,X3,X0,X1] :
( ~ in(powerset(X3),sK20(X0,X1,X2,X3))
| ~ sP2(X0,X1,X2,X3) ),
inference(resolution,[],[f132,f124]) ).
fof(f186,plain,
! [X0,X1] :
( ~ sP3(X1,X0)
| sK18(X1,X0) = sK25(X0,X1,sK18(X1,X0)) ),
inference(resolution,[],[f143,f128]) ).
fof(f184,plain,
! [X0,X1] :
( ~ sP3(X1,X0)
| sK19(X1,X0) = sK23(X0,X1,sK19(X1,X0)) ),
inference(resolution,[],[f139,f130]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( in(sK20(X0,X1,X2,X3),powerset(X3))
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| element(sK22(X0,X1,X2),the_carrier(X0)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| sK20(X0,X1,X2,X3) = X2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f144,plain,
! [X2,X0,X1] :
( element(sK26(X0,X1,X2),the_carrier(X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f140,plain,
! [X2,X0,X1] :
( element(sK24(X0,X1,X2),the_carrier(X0))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| in(sK22(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ in(X1,sK26(X0,X1,X2))
| ~ sP0(X0,X1,X2) ),
inference(resolution,[],[f145,f124]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| sK21(X0,X1,X2) = X2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ in(X1,sK24(X0,X1,X2))
| ~ sP1(X0,X1,X2) ),
inference(resolution,[],[f141,f124]) ).
fof(f183,plain,
! [X0] :
( finite(sK14(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ finite(the_carrier(X0)) ),
inference(resolution,[],[f120,f118]) ).
fof(f145,plain,
! [X2,X0,X1] :
( in(sK26(X0,X1,X2),X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| sK25(X0,X1,X2) = X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f141,plain,
! [X2,X0,X1] :
( in(sK24(X0,X1,X2),X1)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| sK23(X0,X1,X2) = X2 ),
inference(cnf_transformation,[],[f81]) ).
fof(f131,plain,
! [X0,X1] :
( sK18(X0,X1) != sK19(X0,X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( sK18(X0,X1) != sK19(X0,X1)
& sP1(X1,X0,sK19(X0,X1))
& sK17(X0,X1) = sK19(X0,X1)
& sP0(X1,X0,sK18(X0,X1))
& sK17(X0,X1) = sK18(X0,X1) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f68,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& sP1(X1,X0,X4)
& X2 = X4
& sP0(X1,X0,X3)
& X2 = X3 )
=> ( sK18(X0,X1) != sK19(X0,X1)
& sP1(X1,X0,sK19(X0,X1))
& sK17(X0,X1) = sK19(X0,X1)
& sP0(X1,X0,sK18(X0,X1))
& sK17(X0,X1) = sK18(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& sP1(X1,X0,X4)
& X2 = X4
& sP0(X1,X0,X3)
& X2 = X3 )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ? [X3,X4,X5] :
( X4 != X5
& sP1(X0,X1,X5)
& X3 = X5
& sP0(X0,X1,X4)
& X3 = X4 )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f129,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| sK17(X0,X1) = sK19(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f127,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| sK17(X0,X1) = sK18(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f120,plain,
! [X0] :
( element(sK14(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( ~ empty(sK14(X0))
& element(sK14(X0),powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f35,f59]) ).
fof(f59,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK14(X0))
& element(sK14(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f130,plain,
! [X0,X1] :
( sP1(X1,X0,sK19(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f128,plain,
! [X0,X1] :
( sP0(X1,X0,sK18(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f170,plain,
! [X0] :
( finite(sK11(X0))
| ~ finite(X0)
| empty(X0) ),
inference(resolution,[],[f118,f108]) ).
fof(f168,plain,
( finite(sK6)
| ~ finite(the_carrier(sK5)) ),
inference(resolution,[],[f118,f98]) ).
fof(f118,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(f105,plain,
! [X3] :
( relstr_set_smaller(sK5,sK9(X3),sK10(X3))
| in(sK8(X3),X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f121,plain,
! [X0] :
( ~ empty(sK14(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f119,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f113,plain,
! [X0] :
( element(sK13(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( finite(sK13(X0))
& ~ empty(sK13(X0))
& element(sK13(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f28,f57]) ).
fof(f57,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK13(X0))
& ~ empty(sK13(X0))
& element(sK13(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(f110,plain,
! [X0] :
( element(sK12(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( finite(sK12(X0))
& ~ empty(sK12(X0))
& element(sK12(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f27,f55]) ).
fof(f55,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK12(X0))
& ~ empty(sK12(X0))
& element(sK12(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(f167,plain,
! [X0] :
( ~ in(X0,sK8(X0))
| element(sK10(X0),the_carrier(sK5)) ),
inference(resolution,[],[f103,f124]) ).
fof(f108,plain,
! [X0] :
( element(sK11(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( ~ empty(sK11(X0))
& element(sK11(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f26,f53]) ).
fof(f53,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK11(X0))
& element(sK11(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f166,plain,
! [X0] :
( ~ in(X0,sK8(X0))
| sK8(X0) = sK9(X0) ),
inference(resolution,[],[f102,f124]) ).
fof(f163,plain,
! [X0] :
( ~ in(X0,sK8(X0))
| in(sK8(X0),powerset(sK7)) ),
inference(resolution,[],[f101,f124]) ).
fof(f162,plain,
! [X0] :
( ~ in(powerset(sK7),sK8(X0))
| in(sK8(X0),X0) ),
inference(resolution,[],[f101,f124]) ).
fof(f103,plain,
! [X3] :
( element(sK10(X3),the_carrier(sK5))
| in(sK8(X3),X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f102,plain,
! [X3] :
( in(sK8(X3),X3)
| sK8(X3) = sK9(X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f165,plain,
~ in(powerset(sK7),sK8(powerset(sK7))),
inference(resolution,[],[f164,f124]) ).
fof(f164,plain,
in(sK8(powerset(sK7)),powerset(sK7)),
inference(factoring,[],[f101]) ).
fof(f101,plain,
! [X3] :
( in(sK8(X3),powerset(sK7))
| in(sK8(X3),X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f161,plain,
! [X0] :
( ~ in(sK6,sK10(X0))
| ~ in(X0,sK8(X0)) ),
inference(resolution,[],[f159,f124]) ).
fof(f160,plain,
! [X0] :
( ~ in(X0,sK8(X0))
| in(sK10(X0),sK6) ),
inference(resolution,[],[f104,f124]) ).
fof(f159,plain,
! [X0] :
( in(sK8(X0),X0)
| ~ in(sK6,sK10(X0)) ),
inference(resolution,[],[f104,f124]) ).
fof(f104,plain,
! [X3] :
( in(sK10(X3),sK6)
| in(sK8(X3),X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f124,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f122,plain,
! [X0] : element(sK15(X0),powerset(X0)),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( empty(sK15(X0))
& element(sK15(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f12,f61]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK15(X0))
& element(sK15(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f115,plain,
! [X0] :
( finite(sK13(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f114,plain,
! [X0] :
( ~ empty(sK13(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f112,plain,
! [X0] :
( finite(sK12(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f111,plain,
! [X0] :
( ~ empty(sK12(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f109,plain,
! [X0] :
( ~ empty(sK11(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f158,plain,
! [X0] : finite(sK15(X0)),
inference(resolution,[],[f117,f123]) ).
fof(f157,plain,
finite(sK28),
inference(resolution,[],[f117,f149]) ).
fof(f117,plain,
! [X0] :
( ~ empty(X0)
| finite(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( finite(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( empty(X0)
=> finite(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(f116,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f98,plain,
element(sK6,powerset(the_carrier(sK5))),
inference(cnf_transformation,[],[f52]) ).
fof(f100,plain,
element(sK7,powerset(sK6)),
inference(cnf_transformation,[],[f52]) ).
fof(f123,plain,
! [X0] : empty(sK15(X0)),
inference(cnf_transformation,[],[f62]) ).
fof(f107,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f153,plain,
~ empty_carrier(sK30),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ~ empty_carrier(sK30)
& one_sorted_str(sK30) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f4,f93]) ).
fof(f93,plain,
( ? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ( ~ empty_carrier(sK30)
& one_sorted_str(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f4,axiom,
? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f152,plain,
one_sorted_str(sK30),
inference(cnf_transformation,[],[f94]) ).
fof(f151,plain,
finite(sK29),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( finite(sK29)
& ~ empty(sK29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f7,f91]) ).
fof(f91,plain,
( ? [X0] :
( finite(X0)
& ~ empty(X0) )
=> ( finite(sK29)
& ~ empty(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f7,axiom,
? [X0] :
( finite(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(f150,plain,
~ empty(sK29),
inference(cnf_transformation,[],[f92]) ).
fof(f149,plain,
empty(sK28),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
empty(sK28),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f13,f89]) ).
fof(f89,plain,
( ? [X0] : empty(X0)
=> empty(sK28) ),
introduced(choice_axiom,[]) ).
fof(f13,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f148,plain,
~ empty(sK27),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
~ empty(sK27),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f14,f87]) ).
fof(f87,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK27) ),
introduced(choice_axiom,[]) ).
fof(f14,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f99,plain,
finite(sK7),
inference(cnf_transformation,[],[f52]) ).
fof(f97,plain,
rel_str(sK5),
inference(cnf_transformation,[],[f52]) ).
fof(f96,plain,
transitive_relstr(sK5),
inference(cnf_transformation,[],[f52]) ).
fof(f95,plain,
~ empty_carrier(sK5),
inference(cnf_transformation,[],[f52]) ).
fof(f321,plain,
( sK9(sK16(sK7,sK6,sK5)) = sK8(sK16(sK7,sK6,sK5))
| ~ spl31_8 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f319,plain,
( spl31_8
<=> sK9(sK16(sK7,sK6,sK5)) = sK8(sK16(sK7,sK6,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_8])]) ).
fof(f490,plain,
( spl31_9
| spl31_11 ),
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f489,plain,
( $false
| spl31_9
| spl31_11 ),
inference(global_subsumption,[],[f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f237,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f229,f345,f346,f347,f348,f349,f362,f239,f393,f235,f428,f430,f432,f433,f375,f382,f384,f451,f394,f236,f456,f458,f460,f461,f385,f386,f352]) ).
fof(f488,plain,
( spl31_9
| ~ spl31_10
| spl31_11 ),
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f487,plain,
( $false
| spl31_9
| ~ spl31_10
| spl31_11 ),
inference(global_subsumption,[],[f357,f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f237,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f229,f345,f346,f347,f348,f349,f352,f362,f239,f393,f235,f428,f430,f432,f433,f375,f382,f384,f451,f394,f236,f456,f458,f460,f461,f385,f386]) ).
fof(f357,plain,
( relstr_set_smaller(sK5,sK8(sK16(sK7,sK6,sK5)),sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))))
| ~ spl31_10 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f355,plain,
( spl31_10
<=> relstr_set_smaller(sK5,sK8(sK16(sK7,sK6,sK5)),sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_10])]) ).
fof(f486,plain,
( spl31_9
| spl31_11
| ~ spl31_12 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f485,plain,
( $false
| spl31_9
| spl31_11
| ~ spl31_12 ),
inference(global_subsumption,[],[f380,f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f237,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f229,f345,f346,f347,f348,f349,f352,f362,f239,f393,f235,f428,f430,f432,f433,f375,f382,f384,f451,f394,f236,f456,f458,f460,f461,f385,f386]) ).
fof(f380,plain,
( relstr_set_smaller(sK5,sK8(sK16(sK7,sK6,sK5)),sK10(sK16(sK7,sK6,sK5)))
| ~ spl31_12 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl31_12
<=> relstr_set_smaller(sK5,sK8(sK16(sK7,sK6,sK5)),sK10(sK16(sK7,sK6,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_12])]) ).
fof(f484,plain,
( ~ spl31_3
| ~ spl31_7
| spl31_9
| spl31_11 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| ~ spl31_3
| ~ spl31_7
| spl31_9
| spl31_11 ),
inference(global_subsumption,[],[f482,f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f237,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f229,f345,f346,f347,f348,f349,f352,f362,f239,f393,f235,f428,f430,f432,f433,f375,f382,f384,f451,f394,f236,f456,f458,f460,f461,f385,f386]) ).
fof(f482,plain,
( relstr_set_smaller(sK5,sK8(sK16(sK7,sK6,sK5)),sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))))
| in(sK10(sK16(sK7,sK6,sK5)),sK6)
| ~ spl31_3
| ~ spl31_7 ),
inference(subsumption_resolution,[],[f434,f258]) ).
fof(f258,plain,
( sP4(sK7,sK6,sK5)
| ~ spl31_3 ),
inference(subsumption_resolution,[],[f253,f99]) ).
fof(f253,plain,
( sP4(sK7,sK6,sK5)
| ~ finite(sK7)
| ~ spl31_3 ),
inference(resolution,[],[f247,f100]) ).
fof(f247,plain,
( ! [X0] :
( ~ element(X0,powerset(sK6))
| sP4(X0,sK6,sK5)
| ~ finite(X0) )
| ~ spl31_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl31_3
<=> ! [X0] :
( ~ element(X0,powerset(sK6))
| sP4(X0,sK6,sK5)
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).
fof(f434,plain,
( relstr_set_smaller(sK5,sK8(sK16(sK7,sK6,sK5)),sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))))
| in(sK10(sK16(sK7,sK6,sK5)),sK6)
| ~ sP4(sK7,sK6,sK5)
| ~ spl31_7 ),
inference(superposition,[],[f200,f317]) ).
fof(f317,plain,
( sK8(sK16(sK7,sK6,sK5)) = sK21(sK5,sK6,sK8(sK16(sK7,sK6,sK5)))
| ~ spl31_7 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f315,plain,
( spl31_7
<=> sK8(sK16(sK7,sK6,sK5)) = sK21(sK5,sK6,sK8(sK16(sK7,sK6,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_7])]) ).
fof(f481,plain,
( spl31_9
| spl31_11 ),
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f480,plain,
( $false
| spl31_9
| spl31_11 ),
inference(global_subsumption,[],[f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f237,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f229,f345,f346,f347,f348,f349,f352,f362,f239,f393,f235,f428,f430,f432,f433,f375,f382,f384,f451,f394,f236,f456,f458,f460,f461,f385,f386]) ).
fof(f479,plain,
( spl31_9
| spl31_11 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| spl31_9
| spl31_11 ),
inference(global_subsumption,[],[f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f237,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f229,f345,f346,f347,f348,f349,f352,f362,f239,f393,f235,f428,f430,f432,f433,f375,f382,f384,f451,f394,f236,f456,f458,f460,f461,f385]) ).
fof(f477,plain,
( ~ spl31_3
| spl31_9
| spl31_11 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| ~ spl31_3
| spl31_9
| spl31_11 ),
inference(global_subsumption,[],[f475,f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f237,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f229,f345,f346,f347,f348,f349,f352,f362,f239,f393,f235,f428,f430,f432,f433,f375,f382,f384,f451,f394,f236,f456,f458,f460,f461]) ).
fof(f475,plain,
( ~ in(sK6,sK10(sK16(sK7,sK6,sK5)))
| ~ spl31_3
| spl31_11 ),
inference(subsumption_resolution,[],[f465,f258]) ).
fof(f465,plain,
( ~ sP4(sK7,sK6,sK5)
| ~ in(sK6,sK10(sK16(sK7,sK6,sK5)))
| ~ spl31_3
| spl31_11 ),
inference(resolution,[],[f388,f192]) ).
fof(f388,plain,
( ~ sP2(sK5,sK6,sK8(sK16(sK7,sK6,sK5)),sK7)
| ~ spl31_3
| spl31_11 ),
inference(subsumption_resolution,[],[f387,f258]) ).
fof(f387,plain,
( ~ sP2(sK5,sK6,sK8(sK16(sK7,sK6,sK5)),sK7)
| ~ sP4(sK7,sK6,sK5)
| spl31_11 ),
inference(resolution,[],[f375,f126]) ).
fof(f474,plain,
( ~ spl31_3
| spl31_9
| spl31_11 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f473,plain,
( $false
| ~ spl31_3
| spl31_9
| spl31_11 ),
inference(global_subsumption,[],[f472,f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f237,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f229,f345,f346,f347,f348,f349,f352,f362,f239,f393,f235,f428,f430,f432,f433,f375,f382,f384,f451,f394,f236,f456,f458,f460,f461]) ).
fof(f472,plain,
( in(sK10(sK16(sK7,sK6,sK5)),sK6)
| ~ spl31_3
| spl31_11 ),
inference(subsumption_resolution,[],[f466,f258]) ).
fof(f466,plain,
( ~ sP4(sK7,sK6,sK5)
| in(sK10(sK16(sK7,sK6,sK5)),sK6)
| ~ spl31_3
| spl31_11 ),
inference(resolution,[],[f388,f193]) ).
fof(f471,plain,
( ~ spl31_3
| spl31_9
| spl31_11 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl31_3
| spl31_9
| spl31_11 ),
inference(global_subsumption,[],[f467,f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f237,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f229,f345,f346,f347,f348,f349,f352,f362,f239,f393,f235,f428,f430,f432,f433,f375,f382,f384,f451,f394,f236,f456,f458,f460,f461]) ).
fof(f467,plain,
( sK9(sK16(sK7,sK6,sK5)) = sK8(sK16(sK7,sK6,sK5))
| ~ spl31_3
| spl31_11 ),
inference(subsumption_resolution,[],[f462,f258]) ).
fof(f462,plain,
( ~ sP4(sK7,sK6,sK5)
| sK9(sK16(sK7,sK6,sK5)) = sK8(sK16(sK7,sK6,sK5))
| ~ spl31_3
| spl31_11 ),
inference(resolution,[],[f388,f190]) ).
fof(f469,plain,
( ~ spl31_3
| spl31_8
| spl31_11 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl31_3
| spl31_8
| spl31_11 ),
inference(global_subsumption,[],[f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f237,f243,f254,f260,f259,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f310,f311,f312,f313,f309,f258,f261,f337,f247,f229,f345,f346,f347,f348,f349,f335,f239,f393,f235,f428,f430,f432,f433,f375,f320,f382,f384,f451,f394,f236,f456,f458,f460,f461,f388,f467]) ).
fof(f320,plain,
( sK9(sK16(sK7,sK6,sK5)) != sK8(sK16(sK7,sK6,sK5))
| spl31_8 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f335,plain,
( sK9(sK16(sK7,sK6,sK5)) = sK8(sK16(sK7,sK6,sK5))
| sK8(sK16(sK7,sK6,sK5)) = sK21(sK5,sK6,sK8(sK16(sK7,sK6,sK5)))
| ~ spl31_3 ),
inference(resolution,[],[f258,f278]) ).
fof(f337,plain,
( sK9(sK16(sK15(sK6),sK6,sK5)) = sK8(sK16(sK15(sK6),sK6,sK5))
| sK8(sK16(sK15(sK6),sK6,sK5)) = sK21(sK5,sK6,sK8(sK16(sK15(sK6),sK6,sK5)))
| ~ spl31_3 ),
inference(resolution,[],[f261,f278]) ).
fof(f261,plain,
( sP4(sK15(sK6),sK6,sK5)
| ~ spl31_3 ),
inference(subsumption_resolution,[],[f257,f158]) ).
fof(f257,plain,
( sP4(sK15(sK6),sK6,sK5)
| ~ finite(sK15(sK6))
| ~ spl31_3 ),
inference(resolution,[],[f247,f122]) ).
fof(f309,plain,
( sK9(sK16(sK7,sK6,sK5)) = sK8(sK16(sK7,sK6,sK5))
| sK8(sK16(sK7,sK6,sK5)) = sK21(sK5,sK6,sK8(sK16(sK7,sK6,sK5)))
| ~ spl31_3 ),
inference(resolution,[],[f278,f258]) ).
fof(f310,plain,
( sK9(sK16(sK15(sK6),sK6,sK5)) = sK8(sK16(sK15(sK6),sK6,sK5))
| sK8(sK16(sK15(sK6),sK6,sK5)) = sK21(sK5,sK6,sK8(sK16(sK15(sK6),sK6,sK5)))
| ~ spl31_3 ),
inference(resolution,[],[f278,f261]) ).
fof(f259,plain,
( sP4(sK12(sK6),sK6,sK5)
| empty(sK6)
| ~ spl31_3 ),
inference(subsumption_resolution,[],[f255,f112]) ).
fof(f255,plain,
( sP4(sK12(sK6),sK6,sK5)
| ~ finite(sK12(sK6))
| empty(sK6)
| ~ spl31_3 ),
inference(resolution,[],[f247,f110]) ).
fof(f260,plain,
( sP4(sK13(sK6),sK6,sK5)
| empty(sK6)
| ~ spl31_3 ),
inference(subsumption_resolution,[],[f256,f115]) ).
fof(f256,plain,
( sP4(sK13(sK6),sK6,sK5)
| ~ finite(sK13(sK6))
| empty(sK6)
| ~ spl31_3 ),
inference(resolution,[],[f247,f113]) ).
fof(f254,plain,
( sP4(sK11(sK6),sK6,sK5)
| ~ finite(sK11(sK6))
| empty(sK6)
| ~ spl31_3 ),
inference(resolution,[],[f247,f108]) ).
fof(f449,plain,
( ~ spl31_3
| ~ spl31_10
| ~ spl31_11 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f448,plain,
( $false
| ~ spl31_3
| ~ spl31_10
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f447,f376]) ).
fof(f376,plain,
( in(sK8(sK16(sK7,sK6,sK5)),sK16(sK7,sK6,sK5))
| ~ spl31_11 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f447,plain,
( ~ in(sK8(sK16(sK7,sK6,sK5)),sK16(sK7,sK6,sK5))
| ~ spl31_3
| ~ spl31_10
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f446,f438]) ).
fof(f438,plain,
( in(sK8(sK16(sK7,sK6,sK5)),powerset(sK7))
| ~ spl31_3
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f436,f415]) ).
fof(f415,plain,
( sP2(sK5,sK6,sK8(sK16(sK7,sK6,sK5)),sK7)
| ~ spl31_3
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f413,f258]) ).
fof(f413,plain,
( sP2(sK5,sK6,sK8(sK16(sK7,sK6,sK5)),sK7)
| ~ sP4(sK7,sK6,sK5)
| ~ spl31_11 ),
inference(resolution,[],[f376,f125]) ).
fof(f436,plain,
( in(sK8(sK16(sK7,sK6,sK5)),powerset(sK7))
| ~ sP2(sK5,sK6,sK8(sK16(sK7,sK6,sK5)),sK7)
| ~ spl31_3
| ~ spl31_11 ),
inference(superposition,[],[f132,f418]) ).
fof(f418,plain,
( sK8(sK16(sK7,sK6,sK5)) = sK20(sK5,sK6,sK8(sK16(sK7,sK6,sK5)),sK7)
| ~ spl31_3
| ~ spl31_11 ),
inference(resolution,[],[f415,f133]) ).
fof(f446,plain,
( ~ in(sK8(sK16(sK7,sK6,sK5)),powerset(sK7))
| ~ in(sK8(sK16(sK7,sK6,sK5)),sK16(sK7,sK6,sK5))
| ~ spl31_3
| ~ spl31_10
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f445,f417]) ).
fof(f417,plain,
( element(sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))),the_carrier(sK5))
| ~ spl31_3
| ~ spl31_11 ),
inference(resolution,[],[f415,f135]) ).
fof(f445,plain,
( ~ element(sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))),the_carrier(sK5))
| ~ in(sK8(sK16(sK7,sK6,sK5)),powerset(sK7))
| ~ in(sK8(sK16(sK7,sK6,sK5)),sK16(sK7,sK6,sK5))
| ~ spl31_3
| ~ spl31_10
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f443,f419]) ).
fof(f419,plain,
( in(sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))),sK6)
| ~ spl31_3
| ~ spl31_11 ),
inference(resolution,[],[f415,f136]) ).
fof(f443,plain,
( ~ in(sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))),sK6)
| ~ element(sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))),the_carrier(sK5))
| ~ in(sK8(sK16(sK7,sK6,sK5)),powerset(sK7))
| ~ in(sK8(sK16(sK7,sK6,sK5)),sK16(sK7,sK6,sK5))
| ~ spl31_10 ),
inference(resolution,[],[f357,f154]) ).
fof(f442,plain,
( ~ spl31_3
| ~ spl31_7
| spl31_10
| ~ spl31_11 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| ~ spl31_3
| ~ spl31_7
| spl31_10
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f440,f356]) ).
fof(f356,plain,
( ~ relstr_set_smaller(sK5,sK8(sK16(sK7,sK6,sK5)),sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))))
| spl31_10 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f440,plain,
( relstr_set_smaller(sK5,sK8(sK16(sK7,sK6,sK5)),sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))))
| ~ spl31_3
| ~ spl31_7
| ~ spl31_11 ),
inference(forward_demodulation,[],[f416,f317]) ).
fof(f416,plain,
( relstr_set_smaller(sK5,sK21(sK5,sK6,sK8(sK16(sK7,sK6,sK5))),sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))))
| ~ spl31_3
| ~ spl31_11 ),
inference(resolution,[],[f415,f137]) ).
fof(f422,plain,
( ~ spl31_3
| spl31_7
| ~ spl31_11 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| ~ spl31_3
| spl31_7
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f420,f316]) ).
fof(f316,plain,
( sK8(sK16(sK7,sK6,sK5)) != sK21(sK5,sK6,sK8(sK16(sK7,sK6,sK5)))
| spl31_7 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f420,plain,
( sK8(sK16(sK7,sK6,sK5)) = sK21(sK5,sK6,sK8(sK16(sK7,sK6,sK5)))
| ~ spl31_3
| ~ spl31_11 ),
inference(resolution,[],[f415,f134]) ).
fof(f411,plain,
( ~ spl31_3
| ~ spl31_9
| spl31_11
| ~ spl31_12 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| ~ spl31_3
| ~ spl31_9
| spl31_11
| ~ spl31_12 ),
inference(subsumption_resolution,[],[f409,f384]) ).
fof(f409,plain,
( ~ in(sK8(sK16(sK7,sK6,sK5)),powerset(sK7))
| ~ spl31_3
| ~ spl31_9
| spl31_11
| ~ spl31_12 ),
inference(subsumption_resolution,[],[f403,f353]) ).
fof(f353,plain,
( in(sK10(sK16(sK7,sK6,sK5)),sK6)
| ~ spl31_9 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f403,plain,
( ~ in(sK10(sK16(sK7,sK6,sK5)),sK6)
| ~ in(sK8(sK16(sK7,sK6,sK5)),powerset(sK7))
| ~ spl31_3
| spl31_11
| ~ spl31_12 ),
inference(resolution,[],[f402,f388]) ).
fof(f402,plain,
( ! [X0,X1] :
( sP2(sK5,X0,sK8(sK16(sK7,sK6,sK5)),X1)
| ~ in(sK10(sK16(sK7,sK6,sK5)),X0)
| ~ in(sK8(sK16(sK7,sK6,sK5)),powerset(X1)) )
| spl31_11
| ~ spl31_12 ),
inference(subsumption_resolution,[],[f401,f382]) ).
fof(f401,plain,
( ! [X0,X1] :
( sP2(sK5,X0,sK8(sK16(sK7,sK6,sK5)),X1)
| ~ in(sK10(sK16(sK7,sK6,sK5)),X0)
| ~ element(sK10(sK16(sK7,sK6,sK5)),the_carrier(sK5))
| ~ in(sK8(sK16(sK7,sK6,sK5)),powerset(X1)) )
| ~ spl31_12 ),
inference(resolution,[],[f380,f156]) ).
fof(f381,plain,
( spl31_11
| spl31_12
| ~ spl31_8 ),
inference(avatar_split_clause,[],[f371,f319,f378,f374]) ).
fof(f371,plain,
( relstr_set_smaller(sK5,sK8(sK16(sK7,sK6,sK5)),sK10(sK16(sK7,sK6,sK5)))
| in(sK8(sK16(sK7,sK6,sK5)),sK16(sK7,sK6,sK5))
| ~ spl31_8 ),
inference(superposition,[],[f105,f321]) ).
fof(f368,plain,
( ~ spl31_3
| spl31_7
| spl31_9 ),
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f367,plain,
( $false
| ~ spl31_3
| spl31_7
| spl31_9 ),
inference(global_subsumption,[],[f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f235,f236,f237,f239,f243,f254,f260,f259,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f310,f311,f312,f313,f309,f258,f261,f337,f247,f229,f345,f346,f347,f348,f349,f335,f359,f316,f352,f363,f364,f362]) ).
fof(f364,plain,
( sK8(sK16(sK7,sK6,sK5)) = sK21(sK5,sK6,sK8(sK16(sK7,sK6,sK5)))
| ~ spl31_3
| spl31_9 ),
inference(subsumption_resolution,[],[f361,f258]) ).
fof(f361,plain,
( ~ sP4(sK7,sK6,sK5)
| sK8(sK16(sK7,sK6,sK5)) = sK21(sK5,sK6,sK8(sK16(sK7,sK6,sK5)))
| spl31_9 ),
inference(resolution,[],[f352,f204]) ).
fof(f363,plain,
( sK8(sK16(sK7,sK6,sK5)) = sK20(sK5,sK6,sK8(sK16(sK7,sK6,sK5)),sK7)
| ~ spl31_3
| spl31_9 ),
inference(subsumption_resolution,[],[f360,f258]) ).
fof(f360,plain,
( ~ sP4(sK7,sK6,sK5)
| sK8(sK16(sK7,sK6,sK5)) = sK20(sK5,sK6,sK8(sK16(sK7,sK6,sK5)),sK7)
| spl31_9 ),
inference(resolution,[],[f352,f202]) ).
fof(f359,plain,
( sK9(sK16(sK7,sK6,sK5)) = sK8(sK16(sK7,sK6,sK5))
| ~ spl31_3
| spl31_7 ),
inference(global_subsumption,[],[f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f235,f236,f237,f239,f243,f254,f260,f259,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f310,f311,f312,f313,f309,f316,f258,f261,f337,f247,f229,f345,f346,f347,f348,f349,f335]) ).
fof(f366,plain,
( ~ spl31_3
| spl31_7
| spl31_9 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl31_3
| spl31_7
| spl31_9 ),
inference(global_subsumption,[],[f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f235,f236,f237,f239,f243,f254,f260,f259,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f310,f311,f312,f313,f309,f258,f261,f337,f247,f229,f345,f346,f347,f348,f349,f335,f359,f316,f352,f363,f364]) ).
fof(f358,plain,
( spl31_9
| spl31_10
| ~ spl31_3
| ~ spl31_7 ),
inference(avatar_split_clause,[],[f344,f315,f246,f355,f351]) ).
fof(f344,plain,
( relstr_set_smaller(sK5,sK8(sK16(sK7,sK6,sK5)),sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))))
| in(sK10(sK16(sK7,sK6,sK5)),sK6)
| ~ spl31_3
| ~ spl31_7 ),
inference(subsumption_resolution,[],[f343,f258]) ).
fof(f343,plain,
( relstr_set_smaller(sK5,sK8(sK16(sK7,sK6,sK5)),sK22(sK5,sK6,sK8(sK16(sK7,sK6,sK5))))
| in(sK10(sK16(sK7,sK6,sK5)),sK6)
| ~ sP4(sK7,sK6,sK5)
| ~ spl31_7 ),
inference(superposition,[],[f200,f317]) ).
fof(f334,plain,
~ spl31_4,
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| ~ spl31_4 ),
inference(global_subsumption,[],[f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f229,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f235,f236,f237,f239,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f251,f323,f324,f326,f325,f329,f332]) ).
fof(f332,plain,
( sP1(sK5,sK6,sK17(sK6,sK5))
| ~ spl31_4 ),
inference(subsumption_resolution,[],[f328,f251]) ).
fof(f328,plain,
( sP1(sK5,sK6,sK17(sK6,sK5))
| ~ sP3(sK6,sK5)
| ~ spl31_4 ),
inference(superposition,[],[f130,f325]) ).
fof(f329,plain,
( sK18(sK6,sK5) != sK17(sK6,sK5)
| ~ spl31_4 ),
inference(subsumption_resolution,[],[f327,f251]) ).
fof(f327,plain,
( sK18(sK6,sK5) != sK17(sK6,sK5)
| ~ sP3(sK6,sK5)
| ~ spl31_4 ),
inference(superposition,[],[f131,f325]) ).
fof(f325,plain,
( sK19(sK6,sK5) = sK17(sK6,sK5)
| ~ spl31_4 ),
inference(resolution,[],[f251,f129]) ).
fof(f326,plain,
( sK18(sK6,sK5) = sK17(sK6,sK5)
| ~ spl31_4 ),
inference(resolution,[],[f251,f127]) ).
fof(f324,plain,
( sK19(sK6,sK5) = sK23(sK5,sK6,sK19(sK6,sK5))
| ~ spl31_4 ),
inference(resolution,[],[f251,f184]) ).
fof(f323,plain,
( sK18(sK6,sK5) = sK25(sK5,sK6,sK18(sK6,sK5))
| ~ spl31_4 ),
inference(resolution,[],[f251,f186]) ).
fof(f251,plain,
( sP3(sK6,sK5)
| ~ spl31_4 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl31_4
<=> sP3(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_4])]) ).
fof(f331,plain,
~ spl31_4,
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f330,plain,
( $false
| ~ spl31_4 ),
inference(global_subsumption,[],[f95,f96,f97,f99,f148,f149,f150,f151,f152,f153,f107,f123,f100,f98,f116,f117,f157,f158,f109,f111,f112,f114,f115,f122,f124,f104,f159,f160,f161,f101,f164,f165,f102,f103,f162,f163,f166,f108,f167,f110,f113,f119,f121,f105,f118,f168,f170,f128,f130,f120,f127,f129,f131,f139,f141,f143,f145,f183,f185,f134,f187,f136,f140,f144,f133,f135,f132,f184,f186,f188,f142,f146,f125,f126,f137,f197,f199,f193,f192,f205,f154,f189,f210,f191,f215,f203,f221,f208,f223,f156,f229,f227,f220,f222,f201,f213,f231,f218,f233,f206,f230,f232,f211,f216,f147,f235,f236,f237,f239,f243,f190,f274,f276,f204,f279,f277,f281,f209,f280,f202,f282,f214,f219,f275,f207,f194,f284,f285,f286,f287,f288,f283,f212,f217,f289,f195,f290,f291,f292,f293,f294,f244,f295,f301,f299,f300,f200,f303,f228,f304,f305,f306,f307,f308,f278,f311,f312,f313,f251,f323,f324,f326,f325,f329]) ).
fof(f322,plain,
( spl31_7
| spl31_8
| ~ spl31_3 ),
inference(avatar_split_clause,[],[f309,f246,f319,f315]) ).
fof(f273,plain,
( spl31_2
| ~ spl31_5 ),
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| spl31_2
| ~ spl31_5 ),
inference(subsumption_resolution,[],[f271,f180]) ).
fof(f180,plain,
( ~ finite(sK6)
| spl31_2 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl31_2
<=> finite(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).
fof(f271,plain,
( finite(sK6)
| ~ spl31_5 ),
inference(resolution,[],[f265,f117]) ).
fof(f265,plain,
( empty(sK6)
| ~ spl31_5 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl31_5
<=> empty(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_5])]) ).
fof(f270,plain,
( spl31_5
| spl31_6
| ~ spl31_3 ),
inference(avatar_split_clause,[],[f259,f246,f267,f263]) ).
fof(f267,plain,
( spl31_6
<=> sP4(sK12(sK6),sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_6])]) ).
fof(f252,plain,
( spl31_3
| spl31_4 ),
inference(avatar_split_clause,[],[f243,f249,f246]) ).
fof(f182,plain,
( ~ spl31_1
| spl31_2 ),
inference(avatar_split_clause,[],[f168,f179,f175]) ).
fof(f175,plain,
( spl31_1
<=> finite(the_carrier(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU364+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
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 11:05:42 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (17877)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (17880)WARNING: value z3 for option sas not known
% 0.14/0.36 % (17878)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (17881)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (17879)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (17880)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (17882)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (17883)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (17884)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 % (17880)First to succeed.
% 0.14/0.40 % (17880)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17877"
% 0.14/0.40 % (17880)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (17880)------------------------------
% 0.14/0.40 % (17880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (17880)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (17880)Memory used [KB]: 1102
% 0.14/0.40 % (17880)Time elapsed: 0.032 s
% 0.14/0.40 % (17880)Instructions burned: 52 (million)
% 0.14/0.40 % (17877)Success in time 0.035 s
%------------------------------------------------------------------------------