TSTP Solution File: SEU157+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU157+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:53:29 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 353 ( 187 unt; 0 def)
% Number of atoms : 689 ( 321 equ)
% Maximal formula atoms : 18 ( 1 avg)
% Number of connectives : 601 ( 265 ~; 263 |; 55 &)
% ( 9 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 703 ( 660 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f474,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f122,f461,f465,f468,f471,f473]) ).
fof(f473,plain,
( ~ spl12_1
| spl12_2 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl12_1
| spl12_2 ),
inference(global_subsumption,[],[f64,f37,f49,f54,f55,f38,f41,f57,f39,f35,f51,f40,f72,f75,f76,f77,f52,f53,f71,f85,f87,f88,f74,f89,f90,f94,f95,f84,f98,f100,f101,f102,f103,f104,f42,f105,f106,f43,f107,f108,f82,f109,f110,f111,f112,f113,f114,f115,f116,f56,f117,f36,f61,f124,f119,f83,f127,f128,f129,f130,f131,f132,f133,f134,f135,f126,f138,f139,f142,f143,f148,f162,f164,f151,f152,f157,f165,f167,f160,f161,f93,f180,f181,f174,f175,f176,f177,f46,f99,f199,f201,f192,f193,f194,f195,f202,f203,f47,f73,f223,f224,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f86,f245,f247,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f91,f248,f249,f250,f251,f252,f253,f254,f255,f256,f257,f258,f259,f260,f275,f276,f267,f268,f269,f270,f271,f272,f92,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f290,f307,f309,f297,f298,f299,f300,f301,f302,f303,f44,f147,f311,f312,f331,f341,f156,f345,f346,f365,f375,f182,f183,f204,f205,f48,f379,f310,f380,f382,f383,f384,f385,f386,f387,f388,f381,f391,f393,f394,f395,f406,f407,f408,f410,f411,f413,f402,f403,f404,f405,f390,f417,f418,f424,f425,f426,f440,f442,f443,f430,f444,f446,f449,f434,f435,f436,f437,f392,f450,f451,f454,f458,f462,f463,f466,f469]) ).
fof(f469,plain,
( ~ in(sK2,sK4)
| ~ in(sK1,sK3)
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f37,f61]) ).
fof(f466,plain,
( ~ in(sK3,sK1)
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f419,f61]) ).
fof(f419,plain,
( ~ in(sK3,sK1)
| ~ in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4))
| ~ spl12_1 ),
inference(superposition,[],[f106,f417]) ).
fof(f463,plain,
( in(sK1,sK3)
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f420,f61]) ).
fof(f420,plain,
( in(sK1,sK3)
| ~ in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4))
| ~ spl12_1 ),
inference(superposition,[],[f105,f417]) ).
fof(f462,plain,
( in(sK2,sK4)
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f457,f61]) ).
fof(f457,plain,
( in(sK2,sK4)
| ~ in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4))
| ~ spl12_1 ),
inference(superposition,[],[f107,f454]) ).
fof(f458,plain,
( ~ in(sK4,sK2)
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f456,f61]) ).
fof(f456,plain,
( ~ in(sK4,sK2)
| ~ in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4))
| ~ spl12_1 ),
inference(superposition,[],[f108,f454]) ).
fof(f454,plain,
( sK2 = sK9(sK4,sK3,ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(equality_resolution,[],[f392]) ).
fof(f451,plain,
( ! [X0,X1] :
( ordered_pair(sK1,sK2) != ordered_pair(singleton(X0),unordered_pair(X0,X1))
| unordered_pair(X1,X0) = sK9(sK4,sK3,ordered_pair(sK1,sK2)) )
| ~ spl12_1 ),
inference(superposition,[],[f392,f126]) ).
fof(f450,plain,
( ! [X0,X1] :
( ordered_pair(sK1,sK2) != ordered_pair(singleton(X0),unordered_pair(X1,X0))
| unordered_pair(X0,X1) = sK9(sK4,sK3,ordered_pair(sK1,sK2)) )
| ~ spl12_1 ),
inference(superposition,[],[f392,f126]) ).
fof(f392,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(sK1,sK2)
| sK9(sK4,sK3,ordered_pair(sK1,sK2)) = X1 )
| ~ spl12_1 ),
inference(superposition,[],[f53,f381]) ).
fof(f437,plain,
( ! [X0,X1] :
( ordered_pair(sK1,sK2) != ordered_pair(singleton(X0),unordered_pair(X0,X1))
| unordered_pair(X1,X0) = sK9(sK4,sK3,ordered_pair(sK1,sK2)) )
| ~ spl12_1 ),
inference(superposition,[],[f156,f418]) ).
fof(f436,plain,
( ! [X0,X1] :
( ordered_pair(sK1,sK2) != ordered_pair(singleton(X0),unordered_pair(X1,X0))
| unordered_pair(X0,X1) = sK9(sK4,sK3,ordered_pair(sK1,sK2)) )
| ~ spl12_1 ),
inference(superposition,[],[f147,f418]) ).
fof(f435,plain,
( ! [X0,X1] :
( ~ in(cartesian_product2(X0,X1),ordered_pair(sK1,sK2))
| ~ in(sK9(sK4,sK3,ordered_pair(sK1,sK2)),X1)
| ~ in(sK1,X0) )
| ~ spl12_1 ),
inference(superposition,[],[f119,f418]) ).
fof(f434,plain,
( ! [X0,X1] :
( in(ordered_pair(sK1,sK2),cartesian_product2(X0,X1))
| ~ in(sK1,X0)
| ~ in(sK9(sK4,sK3,ordered_pair(sK1,sK2)),X1) )
| ~ spl12_1 ),
inference(superposition,[],[f117,f418]) ).
fof(f449,plain,
( ordered_pair(singleton(sK1),unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = ordered_pair(singleton(sK1),unordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f448,f82]) ).
fof(f448,plain,
( ordered_pair(singleton(sK1),unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK1)))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f447,f39]) ).
fof(f447,plain,
( unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK1))) = ordered_pair(singleton(sK1),unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK1))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f433,f39]) ).
fof(f433,plain,
( ordered_pair(singleton(sK1),unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK1)) = unordered_pair(singleton(singleton(sK1)),ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(superposition,[],[f99,f418]) ).
fof(f446,plain,
( ordered_pair(singleton(sK1),unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = ordered_pair(singleton(sK1),unordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f445,f82]) ).
fof(f445,plain,
( ordered_pair(singleton(sK1),unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK1)))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f432,f39]) ).
fof(f432,plain,
( ordered_pair(singleton(sK1),unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(singleton(singleton(sK1)),ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(superposition,[],[f93,f418]) ).
fof(f444,plain,
( ordered_pair(unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK1)) = unordered_pair(singleton(unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))),ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f431,f39]) ).
fof(f431,plain,
( ordered_pair(unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK1),singleton(sK1)) = unordered_pair(singleton(unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK1)),ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(superposition,[],[f92,f418]) ).
fof(f430,plain,
( ordered_pair(unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK1)) = unordered_pair(singleton(unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))),ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(superposition,[],[f91,f418]) ).
fof(f443,plain,
( ordered_pair(unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK1)) = unordered_pair(ordered_pair(sK1,sK2),singleton(unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f429,f39]) ).
fof(f429,plain,
( ordered_pair(unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK1),singleton(sK1)) = unordered_pair(ordered_pair(sK1,sK2),singleton(unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK1)))
| ~ spl12_1 ),
inference(superposition,[],[f86,f418]) ).
fof(f442,plain,
( ordered_pair(singleton(sK1),unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = ordered_pair(singleton(sK1),unordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f441,f82]) ).
fof(f441,plain,
( ordered_pair(singleton(sK1),unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK1)))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f428,f39]) ).
fof(f428,plain,
( unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK1))) = ordered_pair(singleton(sK1),unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK1))
| ~ spl12_1 ),
inference(superposition,[],[f83,f418]) ).
fof(f440,plain,
( ordered_pair(singleton(sK1),unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = ordered_pair(singleton(sK1),unordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f427,f82]) ).
fof(f427,plain,
( ordered_pair(singleton(sK1),unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK1)))
| ~ spl12_1 ),
inference(superposition,[],[f82,f418]) ).
fof(f426,plain,
( ordered_pair(unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK1)) = unordered_pair(ordered_pair(sK1,sK2),singleton(unordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(superposition,[],[f73,f418]) ).
fof(f425,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(sK1,sK2)
| sK9(sK4,sK3,ordered_pair(sK1,sK2)) = X1 )
| ~ spl12_1 ),
inference(superposition,[],[f53,f418]) ).
fof(f424,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(sK1,sK2)
| sK9(sK4,sK3,ordered_pair(sK1,sK2)) = X1 )
| ~ spl12_1 ),
inference(superposition,[],[f53,f418]) ).
fof(f418,plain,
( ordered_pair(sK1,sK2) = ordered_pair(sK1,sK9(sK4,sK3,ordered_pair(sK1,sK2)))
| ~ spl12_1 ),
inference(superposition,[],[f381,f417]) ).
fof(f417,plain,
( sK1 = sK8(sK4,sK3,ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(equality_resolution,[],[f390]) ).
fof(f390,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(sK1,sK2)
| sK8(sK4,sK3,ordered_pair(sK1,sK2)) = X0 )
| ~ spl12_1 ),
inference(superposition,[],[f52,f381]) ).
fof(f405,plain,
( ! [X0,X1] :
( ordered_pair(sK1,sK2) != ordered_pair(singleton(X0),unordered_pair(X0,X1))
| unordered_pair(X1,X0) = sK9(sK4,sK3,ordered_pair(sK1,sK2)) )
| ~ spl12_1 ),
inference(superposition,[],[f156,f381]) ).
fof(f404,plain,
( ! [X0,X1] :
( ordered_pair(sK1,sK2) != ordered_pair(singleton(X0),unordered_pair(X1,X0))
| unordered_pair(X0,X1) = sK9(sK4,sK3,ordered_pair(sK1,sK2)) )
| ~ spl12_1 ),
inference(superposition,[],[f147,f381]) ).
fof(f403,plain,
( ! [X0,X1] :
( ~ in(cartesian_product2(X0,X1),ordered_pair(sK1,sK2))
| ~ in(sK9(sK4,sK3,ordered_pair(sK1,sK2)),X1)
| ~ in(sK8(sK4,sK3,ordered_pair(sK1,sK2)),X0) )
| ~ spl12_1 ),
inference(superposition,[],[f119,f381]) ).
fof(f402,plain,
( ! [X0,X1] :
( in(ordered_pair(sK1,sK2),cartesian_product2(X0,X1))
| ~ in(sK8(sK4,sK3,ordered_pair(sK1,sK2)),X0)
| ~ in(sK9(sK4,sK3,ordered_pair(sK1,sK2)),X1) )
| ~ spl12_1 ),
inference(superposition,[],[f117,f381]) ).
fof(f413,plain,
( ordered_pair(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2))),unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f412,f39]) ).
fof(f412,plain,
( unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2))))) = ordered_pair(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2))),unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK8(sK4,sK3,ordered_pair(sK1,sK2))))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f401,f39]) ).
fof(f401,plain,
( ordered_pair(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2))),unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK8(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(singleton(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))),ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(superposition,[],[f99,f381]) ).
fof(f411,plain,
( ordered_pair(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2))),unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f400,f39]) ).
fof(f400,plain,
( ordered_pair(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2))),unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(singleton(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))),ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(superposition,[],[f93,f381]) ).
fof(f410,plain,
( ordered_pair(unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f409,f39]) ).
fof(f409,plain,
( ordered_pair(unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK8(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK8(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f399,f39]) ).
fof(f399,plain,
( ordered_pair(unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK8(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(singleton(unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK8(sK4,sK3,ordered_pair(sK1,sK2)))),ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(superposition,[],[f92,f381]) ).
fof(f408,plain,
( ordered_pair(unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f398,f39]) ).
fof(f398,plain,
( ordered_pair(unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(singleton(unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2)))),ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(superposition,[],[f91,f381]) ).
fof(f407,plain,
( ordered_pair(unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f397,f39]) ).
fof(f397,plain,
( ordered_pair(unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK8(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK8(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(superposition,[],[f86,f381]) ).
fof(f406,plain,
( ordered_pair(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2))),unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(forward_demodulation,[],[f396,f39]) ).
fof(f396,plain,
( unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2))))) = ordered_pair(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2))),unordered_pair(sK9(sK4,sK3,ordered_pair(sK1,sK2)),sK8(sK4,sK3,ordered_pair(sK1,sK2))))
| ~ spl12_1 ),
inference(superposition,[],[f83,f381]) ).
fof(f395,plain,
( ordered_pair(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2))),unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(superposition,[],[f82,f381]) ).
fof(f394,plain,
( ordered_pair(unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2))),singleton(sK8(sK4,sK3,ordered_pair(sK1,sK2)))) = unordered_pair(ordered_pair(sK1,sK2),singleton(unordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2)))))
| ~ spl12_1 ),
inference(superposition,[],[f73,f381]) ).
fof(f393,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(sK1,sK2)
| sK9(sK4,sK3,ordered_pair(sK1,sK2)) = X1 )
| ~ spl12_1 ),
inference(superposition,[],[f53,f381]) ).
fof(f391,plain,
( ! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(sK1,sK2)
| sK8(sK4,sK3,ordered_pair(sK1,sK2)) = X0 )
| ~ spl12_1 ),
inference(superposition,[],[f52,f381]) ).
fof(f381,plain,
( ordered_pair(sK1,sK2) = ordered_pair(sK8(sK4,sK3,ordered_pair(sK1,sK2)),sK9(sK4,sK3,ordered_pair(sK1,sK2)))
| ~ spl12_1 ),
inference(resolution,[],[f310,f61]) ).
fof(f388,plain,
! [X2,X3,X0,X1] :
( sK9(cartesian_product2(X1,X0),X2,X3) = ordered_pair(sK8(X0,X1,sK9(cartesian_product2(X1,X0),X2,X3)),sK9(X0,X1,sK9(cartesian_product2(X1,X0),X2,X3)))
| ~ in(X3,cartesian_product2(X2,cartesian_product2(X1,X0))) ),
inference(resolution,[],[f310,f107]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( sK8(X2,cartesian_product2(X1,X0),X3) = ordered_pair(sK8(X0,X1,sK8(X2,cartesian_product2(X1,X0),X3)),sK9(X0,X1,sK8(X2,cartesian_product2(X1,X0),X3)))
| ~ in(X3,cartesian_product2(cartesian_product2(X1,X0),X2)) ),
inference(resolution,[],[f310,f105]) ).
fof(f386,plain,
! [X2,X3,X0,X1] :
( sK7(cartesian_product2(X1,X0),X2,X3) = ordered_pair(sK8(X0,X1,sK7(cartesian_product2(X1,X0),X2,X3)),sK9(X0,X1,sK7(cartesian_product2(X1,X0),X2,X3)))
| in(sK5(cartesian_product2(X1,X0),X2,X3),X3)
| sP0(cartesian_product2(X1,X0),X2,X3) ),
inference(resolution,[],[f310,f47]) ).
fof(f385,plain,
! [X2,X3,X0,X1] :
( sK6(X2,cartesian_product2(X1,X0),X3) = ordered_pair(sK8(X0,X1,sK6(X2,cartesian_product2(X1,X0),X3)),sK9(X0,X1,sK6(X2,cartesian_product2(X1,X0),X3)))
| in(sK5(X2,cartesian_product2(X1,X0),X3),X3)
| sP0(X2,cartesian_product2(X1,X0),X3) ),
inference(resolution,[],[f310,f46]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( sK5(X2,X3,cartesian_product2(X1,X0)) = ordered_pair(sK8(X0,X1,sK5(X2,X3,cartesian_product2(X1,X0))),sK9(X0,X1,sK5(X2,X3,cartesian_product2(X1,X0))))
| in(sK6(X2,X3,cartesian_product2(X1,X0)),X3)
| sP0(X2,X3,cartesian_product2(X1,X0)) ),
inference(resolution,[],[f310,f46]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( sK5(X2,X3,cartesian_product2(X1,X0)) = ordered_pair(sK8(X0,X1,sK5(X2,X3,cartesian_product2(X1,X0))),sK9(X0,X1,sK5(X2,X3,cartesian_product2(X1,X0))))
| in(sK7(X2,X3,cartesian_product2(X1,X0)),X2)
| sP0(X2,X3,cartesian_product2(X1,X0)) ),
inference(resolution,[],[f310,f47]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( sK5(X2,X3,cartesian_product2(X1,X0)) = ordered_pair(sK8(X0,X1,sK5(X2,X3,cartesian_product2(X1,X0))),sK9(X0,X1,sK5(X2,X3,cartesian_product2(X1,X0))))
| sK5(X2,X3,cartesian_product2(X1,X0)) = ordered_pair(sK6(X2,X3,cartesian_product2(X1,X0)),sK7(X2,X3,cartesian_product2(X1,X0)))
| sP0(X2,X3,cartesian_product2(X1,X0)) ),
inference(resolution,[],[f310,f48]) ).
fof(f380,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) = ordered_pair(sK8(X0,X1,ordered_pair(X2,X3)),sK9(X0,X1,ordered_pair(X2,X3)))
| ~ in(X2,X1)
| ~ in(X3,X0) ),
inference(resolution,[],[f310,f117]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| ordered_pair(sK8(X2,X1,X0),sK9(X2,X1,X0)) = X0 ),
inference(resolution,[],[f44,f57]) ).
fof(f379,plain,
! [X2,X0,X1] :
( sK5(X0,X1,X2) = ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2))
| sP0(X0,X1,X2)
| ~ in(X2,sK5(X0,X1,X2)) ),
inference(resolution,[],[f48,f41]) ).
fof(f48,plain,
! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| sK5(X0,X1,X2) = ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ! [X4,X5] :
( ordered_pair(X4,X5) != sK5(X0,X1,X2)
| ~ in(X5,X0)
| ~ in(X4,X1) )
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( sK5(X0,X1,X2) = ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2))
& in(sK7(X0,X1,X2),X0)
& in(sK6(X0,X1,X2),X1) )
| in(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X8] :
( ( in(X8,X2)
| ! [X9,X10] :
( ordered_pair(X9,X10) != X8
| ~ in(X10,X0)
| ~ in(X9,X1) ) )
& ( ( ordered_pair(sK8(X0,X1,X8),sK9(X0,X1,X8)) = X8
& in(sK9(X0,X1,X8),X0)
& in(sK8(X0,X1,X8),X1) )
| ~ in(X8,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9])],[f25,f28,f27,f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4,X5] :
( ordered_pair(X4,X5) != X3
| ~ in(X5,X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X6,X7] :
( ordered_pair(X6,X7) = X3
& in(X7,X0)
& in(X6,X1) )
| in(X3,X2) ) )
=> ( ( ! [X5,X4] :
( ordered_pair(X4,X5) != sK5(X0,X1,X2)
| ~ in(X5,X0)
| ~ in(X4,X1) )
| ~ in(sK5(X0,X1,X2),X2) )
& ( ? [X7,X6] :
( ordered_pair(X6,X7) = sK5(X0,X1,X2)
& in(X7,X0)
& in(X6,X1) )
| in(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ? [X7,X6] :
( ordered_pair(X6,X7) = sK5(X0,X1,X2)
& in(X7,X0)
& in(X6,X1) )
=> ( sK5(X0,X1,X2) = ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2))
& in(sK7(X0,X1,X2),X0)
& in(sK6(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0,X1,X8] :
( ? [X11,X12] :
( ordered_pair(X11,X12) = X8
& in(X12,X0)
& in(X11,X1) )
=> ( ordered_pair(sK8(X0,X1,X8),sK9(X0,X1,X8)) = X8
& in(sK9(X0,X1,X8),X0)
& in(sK8(X0,X1,X8),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ! [X4,X5] :
( ordered_pair(X4,X5) != X3
| ~ in(X5,X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X6,X7] :
( ordered_pair(X6,X7) = X3
& in(X7,X0)
& in(X6,X1) )
| in(X3,X2) ) ) )
& ( ! [X8] :
( ( in(X8,X2)
| ! [X9,X10] :
( ordered_pair(X9,X10) != X8
| ~ in(X10,X0)
| ~ in(X9,X1) ) )
& ( ? [X11,X12] :
( ordered_pair(X11,X12) = X8
& in(X12,X0)
& in(X11,X1) )
| ~ in(X8,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ! [X4,X5] :
( ordered_pair(X4,X5) != X3
| ~ in(X5,X1)
| ~ in(X4,X0) )
| ~ in(X3,X2) )
& ( ? [X4,X5] :
( ordered_pair(X4,X5) = X3
& in(X5,X1)
& in(X4,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4,X5] :
( ordered_pair(X4,X5) != X3
| ~ in(X5,X1)
| ~ in(X4,X0) ) )
& ( ? [X4,X5] :
( ordered_pair(X4,X5) = X3
& in(X5,X1)
& in(X4,X0) )
| ~ in(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4,X5] :
( ordered_pair(X4,X5) = X3
& in(X5,X1)
& in(X4,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ in(X2,sK5(X0,X1,X2))
| sP0(X0,X1,X2)
| in(sK7(X0,X1,X2),X0) ),
inference(resolution,[],[f47,f41]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ in(X0,sK7(X0,X1,X2))
| sP0(X0,X1,X2)
| in(sK5(X0,X1,X2),X2) ),
inference(resolution,[],[f47,f41]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ in(X2,sK5(X0,X1,X2))
| sP0(X0,X1,X2)
| in(sK6(X0,X1,X2),X1) ),
inference(resolution,[],[f46,f41]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ in(X1,sK6(X0,X1,X2))
| sP0(X0,X1,X2)
| in(sK5(X0,X1,X2),X2) ),
inference(resolution,[],[f46,f41]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( ordered_pair(singleton(X0),unordered_pair(X0,X1)) = X3
| ordered_pair(X2,X3) != ordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))) ),
inference(forward_demodulation,[],[f357,f82]) ).
fof(f357,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) != ordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0)))
| unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = X3 ),
inference(superposition,[],[f156,f99]) ).
fof(f365,plain,
! [X2,X3,X0,X1] :
( ordered_pair(singleton(X0),unordered_pair(X0,X1)) = X3
| ordered_pair(X2,X3) != ordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0))) ),
inference(forward_demodulation,[],[f351,f93]) ).
fof(f351,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) != ordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0)))
| unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = X3 ),
inference(superposition,[],[f156,f83]) ).
fof(f346,plain,
! [X2,X3,X0,X1] :
( ordered_pair(singleton(X0),unordered_pair(X0,X1)) != ordered_pair(singleton(X2),unordered_pair(X2,X3))
| unordered_pair(X1,X0) = unordered_pair(X3,X2) ),
inference(superposition,[],[f156,f126]) ).
fof(f345,plain,
! [X2,X3,X0,X1] :
( ordered_pair(singleton(X0),unordered_pair(X1,X0)) != ordered_pair(singleton(X2),unordered_pair(X2,X3))
| unordered_pair(X0,X1) = unordered_pair(X3,X2) ),
inference(superposition,[],[f156,f126]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) != ordered_pair(singleton(X0),unordered_pair(X0,X1))
| unordered_pair(X1,X0) = X3 ),
inference(superposition,[],[f53,f126]) ).
fof(f341,plain,
! [X2,X3,X0,X1] :
( ordered_pair(singleton(X0),unordered_pair(X0,X1)) = X3
| ordered_pair(X2,X3) != ordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0))) ),
inference(forward_demodulation,[],[f323,f82]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) != ordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0)))
| unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = X3 ),
inference(superposition,[],[f147,f99]) ).
fof(f331,plain,
! [X2,X3,X0,X1] :
( ordered_pair(singleton(X0),unordered_pair(X0,X1)) = X3
| ordered_pair(X2,X3) != ordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))) ),
inference(forward_demodulation,[],[f317,f93]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) != ordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0)))
| unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = X3 ),
inference(superposition,[],[f147,f83]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ordered_pair(singleton(X0),unordered_pair(X0,X1)) != ordered_pair(singleton(X2),unordered_pair(X3,X2))
| unordered_pair(X1,X0) = unordered_pair(X2,X3) ),
inference(superposition,[],[f147,f126]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ordered_pair(singleton(X0),unordered_pair(X1,X0)) != ordered_pair(singleton(X2),unordered_pair(X3,X2))
| unordered_pair(X0,X1) = unordered_pair(X2,X3) ),
inference(superposition,[],[f147,f126]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) != ordered_pair(singleton(X0),unordered_pair(X1,X0))
| unordered_pair(X0,X1) = X3 ),
inference(superposition,[],[f53,f126]) ).
fof(f44,plain,
! [X2,X0,X1,X8] :
( ~ sP0(X0,X1,X2)
| ~ in(X8,X2)
| ordered_pair(sK8(X0,X1,X8),sK9(X0,X1,X8)) = X8 ),
inference(cnf_transformation,[],[f29]) ).
fof(f303,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X1)),singleton(singleton(unordered_pair(X0,X1)))) = unordered_pair(singleton(ordered_pair(unordered_pair(X0,X1),singleton(X1))),ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X1,X0))),
inference(superposition,[],[f91,f92]) ).
fof(f302,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X1)),singleton(ordered_pair(X1,X0))) = unordered_pair(ordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))),singleton(ordered_pair(unordered_pair(X0,X1),singleton(X1)))),
inference(superposition,[],[f86,f92]) ).
fof(f301,plain,
! [X0,X1] : ordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(X1,X0)),ordered_pair(unordered_pair(X0,X1),singleton(X1))),
inference(superposition,[],[f84,f92]) ).
fof(f300,plain,
! [X0,X1] : ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X1,X0)) = unordered_pair(singleton(singleton(unordered_pair(X0,X1))),ordered_pair(unordered_pair(X0,X1),singleton(X1))),
inference(superposition,[],[f74,f92]) ).
fof(f299,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X1)),singleton(singleton(unordered_pair(X0,X1)))) = unordered_pair(ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X1,X0)),singleton(ordered_pair(unordered_pair(X0,X1),singleton(X1)))),
inference(superposition,[],[f73,f92]) ).
fof(f298,plain,
! [X0,X1] : ordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X1)),singleton(ordered_pair(X1,X0))),
inference(superposition,[],[f71,f92]) ).
fof(f297,plain,
! [X0,X1] : ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X1,X0)) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X1)),singleton(singleton(unordered_pair(X0,X1)))),
inference(superposition,[],[f40,f92]) ).
fof(f309,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(forward_demodulation,[],[f308,f84]) ).
fof(f308,plain,
! [X0,X1] : ordered_pair(unordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(X0))) = unordered_pair(singleton(unordered_pair(singleton(X0),unordered_pair(X1,X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(forward_demodulation,[],[f292,f39]) ).
fof(f292,plain,
! [X0,X1] : ordered_pair(unordered_pair(unordered_pair(X1,X0),singleton(X0)),singleton(singleton(X0))) = unordered_pair(singleton(unordered_pair(unordered_pair(X1,X0),singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(superposition,[],[f92,f126]) ).
fof(f307,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(forward_demodulation,[],[f306,f74]) ).
fof(f306,plain,
! [X0,X1] : ordered_pair(unordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(X0))) = unordered_pair(singleton(unordered_pair(singleton(X0),unordered_pair(X0,X1))),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(forward_demodulation,[],[f291,f39]) ).
fof(f291,plain,
! [X0,X1] : ordered_pair(unordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(singleton(X0))) = unordered_pair(singleton(unordered_pair(unordered_pair(X0,X1),singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f92,f126]) ).
fof(f290,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X1)),singleton(ordered_pair(X1,X0))) = unordered_pair(singleton(ordered_pair(unordered_pair(X0,X1),singleton(X1))),ordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1)))),
inference(superposition,[],[f92,f92]) ).
fof(f289,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(unordered_pair(X0,X1),singleton(X0))),ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1)))),
inference(superposition,[],[f92,f91]) ).
fof(f288,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(ordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(singleton(X0),unordered_pair(X0,X1))),ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0)))),
inference(superposition,[],[f92,f93]) ).
fof(f287,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(ordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(singleton(X0),unordered_pair(X1,X0))),ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0)))),
inference(superposition,[],[f92,f99]) ).
fof(f286,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(unordered_pair(X1,X0),singleton(X0))),
inference(superposition,[],[f92,f84]) ).
fof(f285,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(superposition,[],[f92,f74]) ).
fof(f284,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X1,X0),singleton(X0)),singleton(singleton(unordered_pair(X1,X0)))) = unordered_pair(singleton(ordered_pair(unordered_pair(X1,X0),singleton(X0))),ordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1))),
inference(superposition,[],[f92,f86]) ).
fof(f283,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(singleton(unordered_pair(X0,X1)))) = unordered_pair(singleton(ordered_pair(unordered_pair(X0,X1),singleton(X0))),ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1))),
inference(superposition,[],[f92,f73]) ).
fof(f282,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(singleton(X0)))) = unordered_pair(singleton(ordered_pair(singleton(X0),unordered_pair(X0,X1))),ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1))),
inference(superposition,[],[f92,f82]) ).
fof(f281,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(singleton(X0)))) = unordered_pair(singleton(ordered_pair(singleton(X0),unordered_pair(X1,X0))),ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1))),
inference(superposition,[],[f92,f83]) ).
fof(f280,plain,
! [X0,X1] : ordered_pair(ordered_pair(X1,X0),singleton(singleton(X1))) = unordered_pair(singleton(ordered_pair(X1,X0)),ordered_pair(singleton(X1),unordered_pair(X0,X1))),
inference(superposition,[],[f92,f71]) ).
fof(f279,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(superposition,[],[f92,f40]) ).
fof(f92,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X1)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X1,X0)),
inference(superposition,[],[f74,f71]) ).
fof(f272,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))) = unordered_pair(ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),singleton(ordered_pair(unordered_pair(X0,X1),singleton(X0)))),
inference(superposition,[],[f86,f91]) ).
fof(f271,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(superposition,[],[f84,f91]) ).
fof(f270,plain,
! [X0,X1] : ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(unordered_pair(X0,X1))),ordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(superposition,[],[f74,f91]) ).
fof(f269,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(singleton(unordered_pair(X0,X1)))) = unordered_pair(ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),singleton(ordered_pair(unordered_pair(X0,X1),singleton(X0)))),
inference(superposition,[],[f73,f91]) ).
fof(f268,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f71,f91]) ).
fof(f267,plain,
! [X0,X1] : ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(singleton(unordered_pair(X0,X1)))),
inference(superposition,[],[f40,f91]) ).
fof(f276,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(forward_demodulation,[],[f262,f84]) ).
fof(f262,plain,
! [X0,X1] : ordered_pair(unordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(X0))) = unordered_pair(singleton(unordered_pair(singleton(X0),unordered_pair(X1,X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(superposition,[],[f91,f126]) ).
fof(f275,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(forward_demodulation,[],[f261,f74]) ).
fof(f261,plain,
! [X0,X1] : ordered_pair(unordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(X0))) = unordered_pair(singleton(unordered_pair(singleton(X0),unordered_pair(X0,X1))),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f91,f126]) ).
fof(f260,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(singleton(unordered_pair(X0,X1)))) = unordered_pair(singleton(ordered_pair(unordered_pair(X0,X1),singleton(X0))),ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1))),
inference(superposition,[],[f91,f91]) ).
fof(f259,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(singleton(X0)))) = unordered_pair(singleton(ordered_pair(singleton(X0),unordered_pair(X0,X1))),ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1))),
inference(superposition,[],[f91,f93]) ).
fof(f258,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(singleton(X0)))) = unordered_pair(singleton(ordered_pair(singleton(X0),unordered_pair(X1,X0))),ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1))),
inference(superposition,[],[f91,f99]) ).
fof(f257,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f91,f84]) ).
fof(f256,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(superposition,[],[f91,f74]) ).
fof(f255,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X1,X0),singleton(X0)),singleton(ordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(unordered_pair(X1,X0),singleton(X0))),ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0)))),
inference(superposition,[],[f91,f86]) ).
fof(f254,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(unordered_pair(X0,X1),singleton(X0))),ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1)))),
inference(superposition,[],[f91,f73]) ).
fof(f253,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(ordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(singleton(X0),unordered_pair(X0,X1))),ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0)))),
inference(superposition,[],[f91,f82]) ).
fof(f252,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(ordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(singleton(X0),unordered_pair(X1,X0))),ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0)))),
inference(superposition,[],[f91,f83]) ).
fof(f251,plain,
! [X0,X1] : ordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(X1,X0)),ordered_pair(unordered_pair(X0,X1),singleton(X1))),
inference(superposition,[],[f91,f71]) ).
fof(f250,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(superposition,[],[f91,f40]) ).
fof(f249,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f91,f39]) ).
fof(f248,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f91,f39]) ).
fof(f91,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),
inference(superposition,[],[f74,f40]) ).
fof(f243,plain,
! [X0,X1] : ordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(unordered_pair(X1,X0))),ordered_pair(unordered_pair(X1,X0),singleton(X0))),
inference(superposition,[],[f84,f86]) ).
fof(f242,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(unordered_pair(X1,X0),singleton(X0))),
inference(superposition,[],[f74,f86]) ).
fof(f241,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X1,X0),singleton(X0)),singleton(ordered_pair(X0,X1))) = unordered_pair(ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),singleton(ordered_pair(unordered_pair(X1,X0),singleton(X0)))),
inference(superposition,[],[f73,f86]) ).
fof(f240,plain,
! [X0,X1] : ordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(unordered_pair(X1,X0),singleton(X0)),singleton(singleton(unordered_pair(X1,X0)))),
inference(superposition,[],[f71,f86]) ).
fof(f239,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))) = unordered_pair(ordered_pair(unordered_pair(X1,X0),singleton(X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f40,f86]) ).
fof(f238,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(ordered_pair(X0,X1))) = unordered_pair(ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),singleton(ordered_pair(singleton(X0),unordered_pair(X0,X1)))),
inference(superposition,[],[f86,f93]) ).
fof(f237,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(ordered_pair(X0,X1))) = unordered_pair(ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),singleton(ordered_pair(singleton(X0),unordered_pair(X1,X0)))),
inference(superposition,[],[f86,f99]) ).
fof(f236,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))) = unordered_pair(ordered_pair(unordered_pair(X1,X0),singleton(X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f86,f84]) ).
fof(f235,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f86,f74]) ).
fof(f234,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X1,X0),singleton(X0)),singleton(singleton(unordered_pair(X1,X0)))) = unordered_pair(ordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)),singleton(ordered_pair(unordered_pair(X1,X0),singleton(X0)))),
inference(superposition,[],[f86,f86]) ).
fof(f233,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(singleton(unordered_pair(X0,X1)))) = unordered_pair(ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),singleton(ordered_pair(unordered_pair(X0,X1),singleton(X0)))),
inference(superposition,[],[f86,f73]) ).
fof(f232,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(singleton(X0)))) = unordered_pair(ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),singleton(ordered_pair(singleton(X0),unordered_pair(X0,X1)))),
inference(superposition,[],[f86,f82]) ).
fof(f231,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(singleton(X0)))) = unordered_pair(ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),singleton(ordered_pair(singleton(X0),unordered_pair(X1,X0)))),
inference(superposition,[],[f86,f83]) ).
fof(f230,plain,
! [X0,X1] : ordered_pair(ordered_pair(X1,X0),singleton(singleton(X1))) = unordered_pair(ordered_pair(singleton(X1),unordered_pair(X0,X1)),singleton(ordered_pair(X1,X0))),
inference(superposition,[],[f86,f71]) ).
fof(f229,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f86,f40]) ).
fof(f247,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(ordered_pair(X0,X1))),
inference(forward_demodulation,[],[f246,f84]) ).
fof(f246,plain,
! [X0,X1] : ordered_pair(unordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(unordered_pair(singleton(X0),unordered_pair(X1,X0)))),
inference(forward_demodulation,[],[f226,f39]) ).
fof(f226,plain,
! [X0,X1] : ordered_pair(unordered_pair(unordered_pair(X1,X0),singleton(X0)),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(unordered_pair(unordered_pair(X1,X0),singleton(X0)))),
inference(superposition,[],[f86,f126]) ).
fof(f245,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(ordered_pair(X0,X1))),
inference(forward_demodulation,[],[f244,f74]) ).
fof(f244,plain,
! [X0,X1] : ordered_pair(unordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(unordered_pair(singleton(X0),unordered_pair(X0,X1)))),
inference(forward_demodulation,[],[f225,f39]) ).
fof(f225,plain,
! [X0,X1] : ordered_pair(unordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(unordered_pair(unordered_pair(X0,X1),singleton(X0)))),
inference(superposition,[],[f86,f126]) ).
fof(f86,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X1)) = unordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f40,f71]) ).
fof(f222,plain,
! [X0,X1] : ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(unordered_pair(X0,X1))),ordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(superposition,[],[f84,f73]) ).
fof(f221,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(superposition,[],[f74,f73]) ).
fof(f220,plain,
! [X0,X1] : ordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(singleton(unordered_pair(X0,X1)))),
inference(superposition,[],[f71,f73]) ).
fof(f219,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f40,f73]) ).
fof(f218,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(singleton(X0)))) = unordered_pair(ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),singleton(ordered_pair(singleton(X0),unordered_pair(X0,X1)))),
inference(superposition,[],[f73,f93]) ).
fof(f217,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(singleton(X0)))) = unordered_pair(ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),singleton(ordered_pair(singleton(X0),unordered_pair(X1,X0)))),
inference(superposition,[],[f73,f99]) ).
fof(f216,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f73,f84]) ).
fof(f215,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f73,f74]) ).
fof(f214,plain,
! [X0,X1] : ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))) = unordered_pair(ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),singleton(ordered_pair(unordered_pair(X0,X1),singleton(X0)))),
inference(superposition,[],[f73,f73]) ).
fof(f213,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(ordered_pair(X0,X1))) = unordered_pair(ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),singleton(ordered_pair(singleton(X0),unordered_pair(X0,X1)))),
inference(superposition,[],[f73,f82]) ).
fof(f212,plain,
! [X0,X1] : ordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(ordered_pair(X0,X1))) = unordered_pair(ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),singleton(ordered_pair(singleton(X0),unordered_pair(X1,X0)))),
inference(superposition,[],[f73,f83]) ).
fof(f211,plain,
! [X0,X1] : ordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X1)),singleton(ordered_pair(X1,X0))),
inference(superposition,[],[f73,f71]) ).
fof(f210,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))) = unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f73,f40]) ).
fof(f209,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f73,f39]) ).
fof(f208,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f73,f39]) ).
fof(f224,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(ordered_pair(X0,X1))),
inference(forward_demodulation,[],[f207,f84]) ).
fof(f207,plain,
! [X0,X1] : ordered_pair(unordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(unordered_pair(singleton(X0),unordered_pair(X1,X0)))),
inference(superposition,[],[f73,f126]) ).
fof(f223,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(ordered_pair(X0,X1))),
inference(forward_demodulation,[],[f206,f74]) ).
fof(f206,plain,
! [X0,X1] : ordered_pair(unordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(unordered_pair(singleton(X0),unordered_pair(X0,X1)))),
inference(superposition,[],[f73,f126]) ).
fof(f73,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f40,f40]) ).
fof(f47,plain,
! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X0)
| in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f203,plain,
! [X0,X1] : ordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0))) = ordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(forward_demodulation,[],[f197,f82]) ).
fof(f197,plain,
! [X0,X1] : ordered_pair(singleton(ordered_pair(X0,X1)),unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0)))) = ordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f126,f99]) ).
fof(f202,plain,
! [X0,X1] : ordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))) = ordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(forward_demodulation,[],[f196,f82]) ).
fof(f196,plain,
! [X0,X1] : ordered_pair(singleton(singleton(singleton(X0))),unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0)))) = ordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f126,f99]) ).
fof(f195,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f84,f99]) ).
fof(f194,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f74,f99]) ).
fof(f193,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f71,f99]) ).
fof(f192,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(singleton(X0)))),
inference(superposition,[],[f40,f99]) ).
fof(f201,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(forward_demodulation,[],[f200,f84]) ).
fof(f200,plain,
! [X0,X1] : unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))) = ordered_pair(singleton(singleton(X0)),unordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(forward_demodulation,[],[f185,f126]) ).
fof(f185,plain,
! [X0,X1] : unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))) = ordered_pair(singleton(singleton(X0)),unordered_pair(unordered_pair(X1,X0),singleton(X0))),
inference(superposition,[],[f99,f126]) ).
fof(f199,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(forward_demodulation,[],[f198,f74]) ).
fof(f198,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),unordered_pair(singleton(X0),unordered_pair(X0,X1))) = unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(forward_demodulation,[],[f184,f126]) ).
fof(f184,plain,
! [X0,X1] : unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))) = ordered_pair(singleton(singleton(X0)),unordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(superposition,[],[f99,f126]) ).
fof(f99,plain,
! [X0,X1] : ordered_pair(singleton(X1),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X1)),ordered_pair(X1,X0)),
inference(superposition,[],[f84,f71]) ).
fof(f46,plain,
! [X2,X0,X1] :
( in(sK6(X0,X1,X2),X1)
| in(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f177,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(superposition,[],[f84,f93]) ).
fof(f176,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(superposition,[],[f74,f93]) ).
fof(f175,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f71,f93]) ).
fof(f174,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(singleton(X0)))),
inference(superposition,[],[f40,f93]) ).
fof(f181,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(forward_demodulation,[],[f169,f84]) ).
fof(f169,plain,
! [X0,X1] : unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))) = ordered_pair(singleton(singleton(X0)),unordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f93,f126]) ).
fof(f180,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(forward_demodulation,[],[f168,f74]) ).
fof(f168,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),unordered_pair(singleton(X0),unordered_pair(X0,X1))) = unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f93,f126]) ).
fof(f93,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f74,f74]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( ~ in(cartesian_product2(X2,X3),ordered_pair(singleton(X0),unordered_pair(X0,X1)))
| ~ in(unordered_pair(X1,X0),X3)
| ~ in(singleton(X0),X2) ),
inference(superposition,[],[f119,f126]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| ~ in(singleton(X0),X2)
| ~ in(unordered_pair(X1,X0),X3) ),
inference(superposition,[],[f117,f126]) ).
fof(f167,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(singleton(X0)))),
inference(forward_demodulation,[],[f166,f84]) ).
fof(f166,plain,
! [X0,X1] : unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(singleton(X0)))) = ordered_pair(singleton(singleton(X0)),unordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(forward_demodulation,[],[f159,f126]) ).
fof(f159,plain,
! [X0,X1] : unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(singleton(X0)))) = ordered_pair(singleton(singleton(X0)),unordered_pair(unordered_pair(X1,X0),singleton(X0))),
inference(superposition,[],[f83,f126]) ).
fof(f165,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(singleton(X0)))),
inference(forward_demodulation,[],[f158,f84]) ).
fof(f158,plain,
! [X0,X1] : unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(singleton(X0)))) = ordered_pair(singleton(singleton(X0)),unordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f82,f126]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) != ordered_pair(singleton(X0),unordered_pair(X0,X1))
| unordered_pair(X1,X0) = X3 ),
inference(superposition,[],[f53,f126]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ in(cartesian_product2(X2,X3),ordered_pair(singleton(X0),unordered_pair(X1,X0)))
| ~ in(unordered_pair(X0,X1),X3)
| ~ in(singleton(X0),X2) ),
inference(superposition,[],[f119,f126]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(singleton(X0),unordered_pair(X1,X0)),cartesian_product2(X2,X3))
| ~ in(singleton(X0),X2)
| ~ in(unordered_pair(X0,X1),X3) ),
inference(superposition,[],[f117,f126]) ).
fof(f164,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(singleton(X0)))),
inference(forward_demodulation,[],[f163,f74]) ).
fof(f163,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),unordered_pair(singleton(X0),unordered_pair(X0,X1))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(singleton(X0)))),
inference(forward_demodulation,[],[f150,f126]) ).
fof(f150,plain,
! [X0,X1] : unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(singleton(X0)))) = ordered_pair(singleton(singleton(X0)),unordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(superposition,[],[f83,f126]) ).
fof(f162,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(singleton(X0)))),
inference(forward_demodulation,[],[f149,f74]) ).
fof(f149,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),unordered_pair(singleton(X0),unordered_pair(X0,X1))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(singleton(X0)))),
inference(superposition,[],[f82,f126]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) != ordered_pair(singleton(X0),unordered_pair(X1,X0))
| unordered_pair(X0,X1) = X3 ),
inference(superposition,[],[f53,f126]) ).
fof(f143,plain,
! [X0,X1] : ordered_pair(singleton(singleton(singleton(X0))),unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1))) = ordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(superposition,[],[f126,f82]) ).
fof(f142,plain,
! [X0,X1] : ordered_pair(singleton(singleton(singleton(X0))),unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1))) = ordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f126,f83]) ).
fof(f139,plain,
! [X0,X1] : ordered_pair(singleton(ordered_pair(X0,X1)),unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1))) = ordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(superposition,[],[f126,f82]) ).
fof(f138,plain,
! [X0,X1] : ordered_pair(singleton(ordered_pair(X0,X1)),unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1))) = ordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f126,f83]) ).
fof(f126,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f83,f82]) ).
fof(f135,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f39,f83]) ).
fof(f134,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f39,f83]) ).
fof(f133,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f40,f83]) ).
fof(f132,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(singleton(singleton(X0)))),
inference(superposition,[],[f71,f83]) ).
fof(f131,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f74,f83]) ).
fof(f130,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[],[f84,f83]) ).
fof(f129,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f82,f83]) ).
fof(f128,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f83,f39]) ).
fof(f127,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f83,f39]) ).
fof(f83,plain,
! [X0,X1] : ordered_pair(singleton(X1),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X1,X0),singleton(singleton(X1))),
inference(superposition,[],[f71,f71]) ).
fof(f119,plain,
! [X2,X3,X0,X1] :
( ~ in(cartesian_product2(X1,X3),ordered_pair(X0,X2))
| ~ in(X2,X3)
| ~ in(X0,X1) ),
inference(resolution,[],[f117,f41]) ).
fof(f124,plain,
( ~ in(cartesian_product2(sK3,sK4),ordered_pair(sK1,sK2))
| ~ spl12_1 ),
inference(resolution,[],[f61,f41]) ).
fof(f61,plain,
( in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4))
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl12_1
<=> in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f36,plain,
( in(sK2,sK4)
| in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( ~ in(sK2,sK4)
| ~ in(sK1,sK3)
| ~ in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4)) )
& ( ( in(sK2,sK4)
& in(sK1,sK3) )
| in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f21,f22]) ).
fof(f22,plain,
( ? [X0,X1,X2,X3] :
( ( ~ in(X1,X3)
| ~ in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) )
& ( ( in(X1,X3)
& in(X0,X2) )
| in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) )
=> ( ( ~ in(sK2,sK4)
| ~ in(sK1,sK3)
| ~ in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4)) )
& ( ( in(sK2,sK4)
& in(sK1,sK3) )
| in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0,X1,X2,X3] :
( ( ~ in(X1,X3)
| ~ in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) )
& ( ( in(X1,X3)
& in(X0,X2) )
| in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
? [X0,X1,X2,X3] :
( ( ~ in(X1,X3)
| ~ in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) )
& ( ( in(X1,X3)
& in(X0,X2) )
| in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
? [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<~> ( in(X1,X3)
& in(X0,X2) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X2,X0),cartesian_product2(X3,X1))
| ~ in(X2,X3)
| ~ in(X0,X1) ),
inference(resolution,[],[f56,f57]) ).
fof(f56,plain,
! [X2,X10,X0,X1,X9] :
( ~ sP0(X0,X1,X2)
| ~ in(X10,X0)
| ~ in(X9,X1)
| in(ordered_pair(X9,X10),X2) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X2,X10,X0,X1,X8,X9] :
( in(X8,X2)
| ordered_pair(X9,X10) != X8
| ~ in(X10,X0)
| ~ in(X9,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f116,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f39,f82]) ).
fof(f115,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f39,f82]) ).
fof(f114,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(ordered_pair(X0,X1))),
inference(superposition,[],[f40,f82]) ).
fof(f113,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(ordered_pair(singleton(X0),unordered_pair(X0,X1)),singleton(singleton(singleton(X0)))),
inference(superposition,[],[f71,f82]) ).
fof(f112,plain,
! [X0,X1] : ordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(superposition,[],[f74,f82]) ).
fof(f111,plain,
! [X0,X1] : ordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = unordered_pair(singleton(singleton(singleton(X0))),ordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(superposition,[],[f84,f82]) ).
fof(f110,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f82,f39]) ).
fof(f109,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f82,f39]) ).
fof(f82,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),
inference(superposition,[],[f71,f40]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ in(X2,sK9(X2,X1,X0))
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(resolution,[],[f107,f41]) ).
fof(f107,plain,
! [X2,X0,X1] :
( in(sK9(X2,X1,X0),X2)
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(resolution,[],[f43,f57]) ).
fof(f43,plain,
! [X2,X0,X1,X8] :
( ~ sP0(X0,X1,X2)
| ~ in(X8,X2)
| in(sK9(X0,X1,X8),X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ in(X1,sK8(X2,X1,X0))
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(resolution,[],[f105,f41]) ).
fof(f105,plain,
! [X2,X0,X1] :
( in(sK8(X2,X1,X0),X1)
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(resolution,[],[f42,f57]) ).
fof(f42,plain,
! [X2,X0,X1,X8] :
( ~ sP0(X0,X1,X2)
| ~ in(X8,X2)
| in(sK8(X0,X1,X8),X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f104,plain,
! [X0,X1] : unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f40,f84]) ).
fof(f103,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f71,f84]) ).
fof(f102,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f74,f84]) ).
fof(f101,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f84,f84]) ).
fof(f100,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),
inference(superposition,[],[f84,f74]) ).
fof(f98,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f84,f40]) ).
fof(f84,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f71,f39]) ).
fof(f95,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),
inference(superposition,[],[f40,f74]) ).
fof(f94,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f71,f74]) ).
fof(f90,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f74,f39]) ).
fof(f89,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f74,f39]) ).
fof(f74,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f40,f39]) ).
fof(f88,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f39,f71]) ).
fof(f87,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f39,f71]) ).
fof(f85,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f71,f39]) ).
fof(f71,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X1,X0),singleton(X0)),
inference(superposition,[],[f40,f39]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ( X1 = X3
& X0 = X2 )
| ordered_pair(X0,X1) != ordered_pair(X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( ordered_pair(X0,X1) = ordered_pair(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_zfmisc_1) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f17]) ).
fof(f77,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f39,f40]) ).
fof(f76,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f39,f40]) ).
fof(f75,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f40,f39]) ).
fof(f72,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X1,X0),singleton(X0)),
inference(superposition,[],[f40,f39]) ).
fof(f40,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ sP0(X1,X0,X2)
| cartesian_product2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( cartesian_product2(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| cartesian_product2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( cartesian_product2(X0,X1) = X2
<=> sP0(X1,X0,X2) ),
inference(definition_folding,[],[f3,f18]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( cartesian_product2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4,X5] :
( ordered_pair(X4,X5) = X3
& in(X5,X1)
& in(X4,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(f35,plain,
( in(sK1,sK3)
| in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f57,plain,
! [X0,X1] : sP0(X1,X0,cartesian_product2(X0,X1)),
inference(equality_resolution,[],[f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f41,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f38,plain,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
fof(f55,plain,
empty(sK11),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
empty(sK11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f12,f33]) ).
fof(f33,plain,
( ? [X0] : empty(X0)
=> empty(sK11) ),
introduced(choice_axiom,[]) ).
fof(f12,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f54,plain,
~ empty(sK10),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
~ empty(sK10),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f13,f31]) ).
fof(f31,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK10) ),
introduced(choice_axiom,[]) ).
fof(f13,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f49,plain,
! [X2,X0,X1,X4,X5] :
( sP0(X0,X1,X2)
| ordered_pair(X4,X5) != sK5(X0,X1,X2)
| ~ in(X5,X0)
| ~ in(X4,X1)
| ~ in(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f37,plain,
( ~ in(sK2,sK4)
| ~ in(sK1,sK3)
| ~ in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f64,plain,
( ~ in(sK1,sK3)
| spl12_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl12_2
<=> in(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f471,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl12_1 ),
inference(global_subsumption,[],[f37,f49,f54,f55,f38,f41,f57,f39,f35,f51,f40,f72,f75,f76,f77,f52,f53,f71,f85,f87,f88,f74,f89,f90,f94,f95,f84,f98,f100,f101,f102,f103,f104,f42,f105,f106,f43,f107,f108,f82,f109,f110,f111,f112,f113,f114,f115,f116,f56,f117,f36,f61,f124,f119,f83,f127,f128,f129,f130,f131,f132,f133,f134,f135,f126,f138,f139,f142,f143,f148,f162,f164,f151,f152,f157,f165,f167,f160,f161,f93,f180,f181,f174,f175,f176,f177,f46,f99,f199,f201,f192,f193,f194,f195,f202,f203,f47,f73,f223,f224,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f86,f245,f247,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f91,f248,f249,f250,f251,f252,f253,f254,f255,f256,f257,f258,f259,f260,f275,f276,f267,f268,f269,f270,f271,f272,f92,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f290,f307,f309,f297,f298,f299,f300,f301,f302,f303,f44,f147,f311,f312,f331,f341,f156,f345,f346,f365,f375,f182,f183,f204,f205,f48,f379,f310,f380,f382,f383,f384,f385,f386,f387,f388,f381,f391,f393,f394,f395,f406,f407,f408,f410,f411,f413,f402,f403,f404,f405,f390,f417,f418,f424,f425,f426,f440,f442,f443,f430,f444,f446,f449,f434,f435,f436,f437,f392,f450,f451,f454,f458,f462,f463,f466,f469]) ).
fof(f468,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f467,plain,
( $false
| ~ spl12_1 ),
inference(global_subsumption,[],[f37,f49,f54,f55,f38,f41,f57,f39,f35,f51,f40,f72,f75,f76,f77,f52,f53,f71,f85,f87,f88,f74,f89,f90,f94,f95,f84,f98,f100,f101,f102,f103,f104,f42,f105,f106,f43,f107,f108,f82,f109,f110,f111,f112,f113,f114,f115,f116,f56,f117,f36,f61,f124,f119,f83,f127,f128,f129,f130,f131,f132,f133,f134,f135,f126,f138,f139,f142,f143,f148,f162,f164,f151,f152,f157,f165,f167,f160,f161,f93,f180,f181,f174,f175,f176,f177,f46,f99,f199,f201,f192,f193,f194,f195,f202,f203,f47,f73,f223,f224,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f86,f245,f247,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f91,f248,f249,f250,f251,f252,f253,f254,f255,f256,f257,f258,f259,f260,f275,f276,f267,f268,f269,f270,f271,f272,f92,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f290,f307,f309,f297,f298,f299,f300,f301,f302,f303,f44,f147,f311,f312,f331,f341,f156,f345,f346,f365,f375,f182,f183,f204,f205,f48,f379,f310,f380,f382,f383,f384,f385,f386,f387,f388,f381,f391,f393,f394,f395,f406,f407,f408,f410,f411,f413,f402,f403,f404,f405,f390,f417,f418,f424,f425,f426,f440,f442,f443,f430,f444,f446,f449,f434,f435,f436,f437,f392,f450,f451,f454,f458,f462,f463,f466]) ).
fof(f465,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f464,plain,
( $false
| ~ spl12_1 ),
inference(global_subsumption,[],[f37,f49,f54,f55,f38,f41,f57,f39,f35,f51,f40,f72,f75,f76,f77,f52,f53,f71,f85,f87,f88,f74,f89,f90,f94,f95,f84,f98,f100,f101,f102,f103,f104,f42,f105,f106,f43,f107,f108,f82,f109,f110,f111,f112,f113,f114,f115,f116,f56,f117,f36,f61,f124,f119,f83,f127,f128,f129,f130,f131,f132,f133,f134,f135,f126,f138,f139,f142,f143,f148,f162,f164,f151,f152,f157,f165,f167,f160,f161,f93,f180,f181,f174,f175,f176,f177,f46,f99,f199,f201,f192,f193,f194,f195,f202,f203,f47,f73,f223,f224,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f86,f245,f247,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f91,f248,f249,f250,f251,f252,f253,f254,f255,f256,f257,f258,f259,f260,f275,f276,f267,f268,f269,f270,f271,f272,f92,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f290,f307,f309,f297,f298,f299,f300,f301,f302,f303,f44,f147,f311,f312,f331,f341,f156,f345,f346,f365,f375,f182,f183,f204,f205,f48,f379,f310,f380,f382,f383,f384,f385,f386,f387,f388,f381,f391,f393,f394,f395,f406,f407,f408,f410,f411,f413,f402,f403,f404,f405,f390,f417,f418,f424,f425,f426,f440,f442,f443,f430,f444,f446,f449,f434,f435,f436,f437,f392,f450,f451,f454,f458,f462,f463]) ).
fof(f461,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f460,plain,
( $false
| ~ spl12_1
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f459,f61]) ).
fof(f459,plain,
( ~ in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4))
| ~ spl12_1
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f457,f125]) ).
fof(f125,plain,
( ~ in(sK2,sK4)
| ~ spl12_1
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f123,f61]) ).
fof(f123,plain,
( ~ in(sK2,sK4)
| ~ in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4))
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f37,f65]) ).
fof(f65,plain,
( in(sK1,sK3)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f122,plain,
( spl12_1
| ~ spl12_2 ),
inference(avatar_contradiction_clause,[],[f121]) ).
fof(f121,plain,
( $false
| spl12_1
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f120,f68]) ).
fof(f68,plain,
( in(sK2,sK4)
| spl12_1 ),
inference(subsumption_resolution,[],[f36,f60]) ).
fof(f60,plain,
( ~ in(ordered_pair(sK1,sK2),cartesian_product2(sK3,sK4))
| spl12_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f120,plain,
( ~ in(sK2,sK4)
| spl12_1
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f118,f65]) ).
fof(f118,plain,
( ~ in(sK1,sK3)
| ~ in(sK2,sK4)
| spl12_1 ),
inference(resolution,[],[f117,f60]) ).
fof(f66,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f35,f63,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU157+1 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 16:27:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (7801)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (7804)WARNING: value z3 for option sas not known
% 0.13/0.36 % (7808)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.36 % (7803)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (7802)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (7804)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (7806)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36 % (7807)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.36 % (7805)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 % (7804)First to succeed.
% 0.13/0.38 % (7807)Also succeeded, but the first one will report.
% 0.13/0.39 % (7804)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7801"
% 0.13/0.39 % (7804)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40 % (7804)------------------------------
% 0.13/0.40 % (7804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.40 % (7804)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (7804)Memory used [KB]: 1043
% 0.13/0.40 % (7804)Time elapsed: 0.029 s
% 0.13/0.40 % (7804)Instructions burned: 52 (million)
% 0.13/0.40 % (7801)Success in time 0.045 s
%------------------------------------------------------------------------------