TSTP Solution File: SEU242+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU242+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 : n016.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 09:30:21 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 49
% Syntax : Number of formulae : 363 ( 189 unt; 0 def)
% Number of atoms : 824 ( 236 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 773 ( 312 ~; 316 |; 103 &)
% ( 22 <=>; 19 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 15 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 508 ( 472 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f791,plain,
$false,
inference(avatar_sat_refutation,[],[f139,f199,f210,f221,f232,f440,f453,f456,f460,f754,f759,f768,f773,f790]) ).
fof(f790,plain,
( ~ spl13_1
| spl13_14 ),
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f789,plain,
( $false
| ~ spl13_1
| spl13_14 ),
inference(subsumption_resolution,[],[f788,f84]) ).
fof(f84,plain,
relation(sK2),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( ( ~ in(ordered_pair(sK4,sK3),sK2)
& ~ in(ordered_pair(sK3,sK4),sK2)
& sK3 != sK4
& in(sK4,relation_field(sK2))
& in(sK3,relation_field(sK2)) )
| ~ connected(sK2) )
& ( ! [X3,X4] :
( in(ordered_pair(X4,X3),sK2)
| in(ordered_pair(X3,X4),sK2)
| X3 = X4
| ~ in(X4,relation_field(sK2))
| ~ in(X3,relation_field(sK2)) )
| connected(sK2) )
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f62,f64,f63]) ).
fof(f63,plain,
( ? [X0] :
( ( ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
| ~ connected(X0) )
& ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X0)
| in(ordered_pair(X3,X4),X0)
| X3 = X4
| ~ in(X4,relation_field(X0))
| ~ in(X3,relation_field(X0)) )
| connected(X0) )
& relation(X0) )
=> ( ( ? [X2,X1] :
( ~ in(ordered_pair(X2,X1),sK2)
& ~ in(ordered_pair(X1,X2),sK2)
& X1 != X2
& in(X2,relation_field(sK2))
& in(X1,relation_field(sK2)) )
| ~ connected(sK2) )
& ( ! [X4,X3] :
( in(ordered_pair(X4,X3),sK2)
| in(ordered_pair(X3,X4),sK2)
| X3 = X4
| ~ in(X4,relation_field(sK2))
| ~ in(X3,relation_field(sK2)) )
| connected(sK2) )
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X2,X1] :
( ~ in(ordered_pair(X2,X1),sK2)
& ~ in(ordered_pair(X1,X2),sK2)
& X1 != X2
& in(X2,relation_field(sK2))
& in(X1,relation_field(sK2)) )
=> ( ~ in(ordered_pair(sK4,sK3),sK2)
& ~ in(ordered_pair(sK3,sK4),sK2)
& sK3 != sK4
& in(sK4,relation_field(sK2))
& in(sK3,relation_field(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0] :
( ( ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
| ~ connected(X0) )
& ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X0)
| in(ordered_pair(X3,X4),X0)
| X3 = X4
| ~ in(X4,relation_field(X0))
| ~ in(X3,relation_field(X0)) )
| connected(X0) )
& relation(X0) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
? [X0] :
( ( ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
| ~ connected(X0) )
& ( ! [X1,X2] :
( in(ordered_pair(X2,X1),X0)
| in(ordered_pair(X1,X2),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0)) )
| connected(X0) )
& relation(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0] :
( ( ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
| ~ connected(X0) )
& ( ! [X1,X2] :
( in(ordered_pair(X2,X1),X0)
| in(ordered_pair(X1,X2),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0)) )
| connected(X0) )
& relation(X0) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
? [X0] :
( ( connected(X0)
<~> ! [X1,X2] :
( in(ordered_pair(X2,X1),X0)
| in(ordered_pair(X1,X2),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0)) ) )
& relation(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( connected(X0)
<=> ! [X1,X2] :
~ ( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) ) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> ! [X1,X2] :
~ ( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1) ).
fof(f788,plain,
( ~ relation(sK2)
| ~ spl13_1
| spl13_14 ),
inference(subsumption_resolution,[],[f786,f133]) ).
fof(f133,plain,
( connected(sK2)
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl13_1
<=> connected(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f786,plain,
( ~ connected(sK2)
| ~ relation(sK2)
| spl13_14 ),
inference(resolution,[],[f451,f94]) ).
fof(f94,plain,
! [X0] :
( is_connected_in(X0,relation_field(X0))
| ~ connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( ( connected(X0)
| ~ is_connected_in(X0,relation_field(X0)) )
& ( is_connected_in(X0,relation_field(X0))
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_2) ).
fof(f451,plain,
( ~ is_connected_in(sK2,relation_field(sK2))
| spl13_14 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl13_14
<=> is_connected_in(sK2,relation_field(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f773,plain,
( spl13_2
| ~ spl13_13
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f772,plain,
( $false
| spl13_2
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f771,f138]) ).
fof(f138,plain,
( sK3 != sK4
| spl13_2 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl13_2
<=> sK3 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f771,plain,
( sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f770,f465]) ).
fof(f465,plain,
( in(sK4,relation_field(sK2))
| ~ spl13_14 ),
inference(global_subsumption,[],[f86,f98,f84,f91,f122,f123,f124,f126,f128,f129,f88,f104,f109,f110,f92,f106,f141,f142,f145,f111,f121,f115,f116,f117,f112,f113,f151,f152,f155,f150,f120,f94,f95,f96,f97,f99,f174,f175,f177,f100,f119,f180,f181,f173,f178,f93,f183,f184,f190,f189,f185,f201,f200,f186,f212,f101,f211,f188,f223,f222,f114,f234,f237,f238,f239,f102,f233,f245,f247,f248,f236,f249,f250,f252,f254,f255,f244,f258,f260,f261,f262,f263,f264,f103,f242,f265,f266,f267,f268,f269,f270,f271,f272,f243,f274,f275,f276,f277,f278,f279,f280,f281,f282,f273,f285,f286,f289,f290,f298,f299,f301,f302,f253,f315,f316,f309,f310,f311,f312,f259,f332,f334,f325,f326,f327,f328,f335,f336,f235,f355,f356,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f353,f354,f246,f377,f379,f361,f362,f363,f364,f365,f366,f367,f368,f369,f370,f371,f372,f373,f374,f375,f251,f380,f381,f382,f383,f384,f385,f386,f387,f388,f389,f390,f391,f392,f407,f408,f399,f400,f401,f402,f403,f404,f452,f461,f85,f462,f90,f463,f89,f464,f87]) ).
fof(f87,plain,
( in(sK4,relation_field(sK2))
| ~ connected(sK2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f464,plain,
( ~ in(ordered_pair(sK3,sK4),sK2)
| ~ spl13_14 ),
inference(global_subsumption,[],[f87,f86,f98,f84,f91,f122,f123,f124,f126,f128,f129,f88,f104,f109,f110,f92,f106,f141,f142,f145,f111,f121,f115,f116,f117,f112,f113,f151,f152,f155,f150,f120,f94,f95,f96,f97,f99,f174,f175,f177,f100,f119,f180,f181,f173,f178,f93,f183,f184,f190,f189,f185,f201,f200,f186,f212,f101,f211,f188,f223,f222,f114,f234,f237,f238,f239,f102,f233,f245,f247,f248,f236,f249,f250,f252,f254,f255,f244,f258,f260,f261,f262,f263,f264,f103,f242,f265,f266,f267,f268,f269,f270,f271,f272,f243,f274,f275,f276,f277,f278,f279,f280,f281,f282,f273,f285,f286,f289,f290,f298,f299,f301,f302,f253,f315,f316,f309,f310,f311,f312,f259,f332,f334,f325,f326,f327,f328,f335,f336,f235,f355,f356,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f353,f354,f246,f377,f379,f361,f362,f363,f364,f365,f366,f367,f368,f369,f370,f371,f372,f373,f374,f375,f251,f380,f381,f382,f383,f384,f385,f386,f387,f388,f389,f390,f391,f392,f407,f408,f399,f400,f401,f402,f403,f404,f452,f461,f85,f462,f90,f463,f89]) ).
fof(f89,plain,
( ~ in(ordered_pair(sK3,sK4),sK2)
| ~ connected(sK2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f463,plain,
( ~ in(ordered_pair(sK4,sK3),sK2)
| ~ spl13_14 ),
inference(global_subsumption,[],[f89,f87,f86,f98,f84,f91,f122,f123,f124,f126,f128,f129,f88,f104,f109,f110,f92,f106,f141,f142,f145,f111,f121,f115,f116,f117,f112,f113,f151,f152,f155,f150,f120,f94,f95,f96,f97,f99,f174,f175,f177,f100,f119,f180,f181,f173,f178,f93,f183,f184,f190,f189,f185,f201,f200,f186,f212,f101,f211,f188,f223,f222,f114,f234,f237,f238,f239,f102,f233,f245,f247,f248,f236,f249,f250,f252,f254,f255,f244,f258,f260,f261,f262,f263,f264,f103,f242,f265,f266,f267,f268,f269,f270,f271,f272,f243,f274,f275,f276,f277,f278,f279,f280,f281,f282,f273,f285,f286,f289,f290,f298,f299,f301,f302,f253,f315,f316,f309,f310,f311,f312,f259,f332,f334,f325,f326,f327,f328,f335,f336,f235,f355,f356,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f353,f354,f246,f377,f379,f361,f362,f363,f364,f365,f366,f367,f368,f369,f370,f371,f372,f373,f374,f375,f251,f380,f381,f382,f383,f384,f385,f386,f387,f388,f389,f390,f391,f392,f407,f408,f399,f400,f401,f402,f403,f404,f452,f461,f85,f462,f90]) ).
fof(f90,plain,
( ~ in(ordered_pair(sK4,sK3),sK2)
| ~ connected(sK2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f462,plain,
( connected(sK2)
| ~ spl13_14 ),
inference(global_subsumption,[],[f90,f89,f87,f86,f98,f84,f91,f122,f123,f124,f126,f128,f129,f88,f104,f109,f110,f92,f106,f141,f142,f145,f111,f121,f115,f116,f117,f112,f113,f151,f152,f155,f150,f120,f94,f95,f96,f97,f99,f174,f175,f177,f100,f119,f180,f181,f173,f178,f93,f183,f184,f190,f189,f185,f201,f200,f186,f212,f101,f211,f188,f223,f222,f114,f234,f237,f238,f239,f102,f233,f245,f247,f248,f236,f249,f250,f252,f254,f255,f244,f258,f260,f261,f262,f263,f264,f103,f242,f265,f266,f267,f268,f269,f270,f271,f272,f243,f274,f275,f276,f277,f278,f279,f280,f281,f282,f273,f285,f286,f289,f290,f298,f299,f301,f302,f253,f315,f316,f309,f310,f311,f312,f259,f332,f334,f325,f326,f327,f328,f335,f336,f235,f355,f356,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f353,f354,f246,f377,f379,f361,f362,f363,f364,f365,f366,f367,f368,f369,f370,f371,f372,f373,f374,f375,f251,f380,f381,f382,f383,f384,f385,f386,f387,f388,f389,f390,f391,f392,f407,f408,f399,f400,f401,f402,f403,f404,f452,f461,f85]) ).
fof(f85,plain,
! [X3,X4] :
( in(ordered_pair(X4,X3),sK2)
| in(ordered_pair(X3,X4),sK2)
| X3 = X4
| ~ in(X4,relation_field(sK2))
| ~ in(X3,relation_field(sK2))
| connected(sK2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f461,plain,
( connected(sK2)
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f457,f84]) ).
fof(f457,plain,
( connected(sK2)
| ~ relation(sK2)
| ~ spl13_14 ),
inference(resolution,[],[f452,f95]) ).
fof(f452,plain,
( is_connected_in(sK2,relation_field(sK2))
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f404,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,[],[f246,f251]) ).
fof(f403,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,[],[f244,f251]) ).
fof(f402,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,[],[f236,f251]) ).
fof(f401,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,[],[f235,f251]) ).
fof(f400,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,[],[f233,f251]) ).
fof(f399,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,[],[f114,f251]) ).
fof(f408,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,[],[f394,f244]) ).
fof(f394,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,[],[f251,f273]) ).
fof(f407,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,[],[f393,f236]) ).
fof(f393,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,[],[f251,f273]) ).
fof(f392,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,[],[f251,f251]) ).
fof(f391,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,[],[f251,f253]) ).
fof(f390,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,[],[f251,f259]) ).
fof(f389,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,[],[f251,f244]) ).
fof(f388,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,[],[f251,f236]) ).
fof(f387,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,[],[f251,f246]) ).
fof(f386,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,[],[f251,f235]) ).
fof(f385,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,[],[f251,f242]) ).
fof(f384,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,[],[f251,f243]) ).
fof(f383,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,[],[f251,f233]) ).
fof(f382,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,[],[f251,f114]) ).
fof(f381,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f251,f112]) ).
fof(f380,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f251,f112]) ).
fof(f251,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),
inference(superposition,[],[f236,f114]) ).
fof(f375,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,[],[f244,f246]) ).
fof(f374,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,[],[f236,f246]) ).
fof(f373,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,[],[f235,f246]) ).
fof(f372,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,[],[f233,f246]) ).
fof(f371,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,[],[f114,f246]) ).
fof(f370,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,[],[f246,f253]) ).
fof(f369,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,[],[f246,f259]) ).
fof(f368,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,[],[f246,f244]) ).
fof(f367,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,[],[f246,f236]) ).
fof(f366,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,[],[f246,f246]) ).
fof(f365,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,[],[f246,f235]) ).
fof(f364,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,[],[f246,f242]) ).
fof(f363,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,[],[f246,f243]) ).
fof(f362,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,[],[f246,f233]) ).
fof(f361,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,[],[f246,f114]) ).
fof(f379,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,[],[f378,f244]) ).
fof(f378,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,[],[f358,f112]) ).
fof(f358,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,[],[f246,f273]) ).
fof(f377,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,[],[f376,f236]) ).
fof(f376,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,[],[f357,f112]) ).
fof(f357,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,[],[f246,f273]) ).
fof(f246,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X1)) = unordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f114,f233]) ).
fof(f354,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,[],[f244,f235]) ).
fof(f353,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,[],[f236,f235]) ).
fof(f352,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,[],[f233,f235]) ).
fof(f351,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,[],[f114,f235]) ).
fof(f350,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,[],[f235,f253]) ).
fof(f349,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,[],[f235,f259]) ).
fof(f348,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,[],[f235,f244]) ).
fof(f347,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,[],[f235,f236]) ).
fof(f346,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,[],[f235,f235]) ).
fof(f345,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,[],[f235,f242]) ).
fof(f344,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,[],[f235,f243]) ).
fof(f343,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,[],[f235,f233]) ).
fof(f342,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,[],[f235,f114]) ).
fof(f341,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f235,f112]) ).
fof(f340,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f235,f112]) ).
fof(f356,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,[],[f339,f244]) ).
fof(f339,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,[],[f235,f273]) ).
fof(f355,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,[],[f338,f236]) ).
fof(f338,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,[],[f235,f273]) ).
fof(f235,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f114,f114]) ).
fof(f336,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,[],[f330,f242]) ).
fof(f330,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,[],[f273,f259]) ).
fof(f335,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,[],[f329,f242]) ).
fof(f329,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,[],[f273,f259]) ).
fof(f328,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,[],[f244,f259]) ).
fof(f327,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,[],[f236,f259]) ).
fof(f326,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,[],[f233,f259]) ).
fof(f325,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,[],[f114,f259]) ).
fof(f334,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,[],[f333,f244]) ).
fof(f333,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,[],[f318,f273]) ).
fof(f318,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,[],[f259,f273]) ).
fof(f332,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,[],[f331,f236]) ).
fof(f331,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,[],[f317,f273]) ).
fof(f317,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,[],[f259,f273]) ).
fof(f259,plain,
! [X0,X1] : ordered_pair(singleton(X1),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X1)),ordered_pair(X1,X0)),
inference(superposition,[],[f244,f233]) ).
fof(f312,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,[],[f244,f253]) ).
fof(f311,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,[],[f236,f253]) ).
fof(f310,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,[],[f233,f253]) ).
fof(f309,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,[],[f114,f253]) ).
fof(f316,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,[],[f304,f244]) ).
fof(f304,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,[],[f253,f273]) ).
fof(f315,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,[],[f303,f236]) ).
fof(f303,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,[],[f253,f273]) ).
fof(f253,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f236,f236]) ).
fof(f302,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,[],[f295,f244]) ).
fof(f295,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,[],[f242,f273]) ).
fof(f301,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,[],[f300,f244]) ).
fof(f300,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,[],[f294,f273]) ).
fof(f294,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,[],[f243,f273]) ).
fof(f299,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,[],[f292,f236]) ).
fof(f292,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,[],[f242,f273]) ).
fof(f298,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,[],[f297,f236]) ).
fof(f297,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,[],[f291,f273]) ).
fof(f291,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,[],[f243,f273]) ).
fof(f290,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,[],[f273,f242]) ).
fof(f289,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,[],[f273,f243]) ).
fof(f286,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,[],[f273,f242]) ).
fof(f285,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,[],[f273,f243]) ).
fof(f273,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f243,f242]) ).
fof(f282,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f112,f243]) ).
fof(f281,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f112,f243]) ).
fof(f280,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,[],[f114,f243]) ).
fof(f279,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,[],[f233,f243]) ).
fof(f278,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,[],[f236,f243]) ).
fof(f277,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,[],[f244,f243]) ).
fof(f276,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f242,f243]) ).
fof(f275,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f243,f112]) ).
fof(f274,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f243,f112]) ).
fof(f243,plain,
! [X0,X1] : ordered_pair(singleton(X1),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X1,X0),singleton(singleton(X1))),
inference(superposition,[],[f233,f233]) ).
fof(f272,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f112,f242]) ).
fof(f271,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f112,f242]) ).
fof(f270,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,[],[f114,f242]) ).
fof(f269,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,[],[f233,f242]) ).
fof(f268,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,[],[f236,f242]) ).
fof(f267,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,[],[f244,f242]) ).
fof(f266,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f242,f112]) ).
fof(f265,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f242,f112]) ).
fof(f242,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),
inference(superposition,[],[f233,f114]) ).
fof(f103,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
& ~ in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
& sK5(X0,X1) != sK6(X0,X1)
& in(sK6(X0,X1),X1)
& in(sK5(X0,X1),X1) ) )
& ( ! [X4,X5] :
( in(ordered_pair(X5,X4),X0)
| in(ordered_pair(X4,X5),X0)
| X4 = X5
| ~ in(X5,X1)
| ~ in(X4,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f69,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) )
=> ( ~ in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
& ~ in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
& sK5(X0,X1) != sK6(X0,X1)
& in(sK6(X0,X1),X1)
& in(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) ) )
& ( ! [X4,X5] :
( in(ordered_pair(X5,X4),X0)
| in(ordered_pair(X4,X5),X0)
| X4 = X5
| ~ in(X5,X1)
| ~ in(X4,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) ) )
& ( ! [X2,X3] :
( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X0)
| X2 = X3
| ~ in(X3,X1)
| ~ in(X2,X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2,X3] :
( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X0)
| X2 = X3
| ~ in(X3,X1)
| ~ in(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f264,plain,
! [X0,X1] : unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f114,f244]) ).
fof(f263,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f233,f244]) ).
fof(f262,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f236,f244]) ).
fof(f261,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f244,f244]) ).
fof(f260,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),
inference(superposition,[],[f244,f236]) ).
fof(f258,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f244,f114]) ).
fof(f244,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f233,f112]) ).
fof(f255,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),
inference(superposition,[],[f114,f236]) ).
fof(f254,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f233,f236]) ).
fof(f252,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X1)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X1,X0)),
inference(superposition,[],[f236,f233]) ).
fof(f250,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f236,f112]) ).
fof(f249,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f236,f112]) ).
fof(f236,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f114,f112]) ).
fof(f248,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f112,f233]) ).
fof(f247,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f112,f233]) ).
fof(f245,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f233,f112]) ).
fof(f233,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X1,X0),singleton(X0)),
inference(superposition,[],[f114,f112]) ).
fof(f102,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f239,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f112,f114]) ).
fof(f238,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f112,f114]) ).
fof(f237,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f114,f112]) ).
fof(f234,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X1,X0),singleton(X0)),
inference(superposition,[],[f114,f112]) ).
fof(f114,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,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(f222,plain,
( ~ empty(relation_field(empty_set))
| empty(relation_rng(empty_set)) ),
inference(superposition,[],[f116,f188]) ).
fof(f223,plain,
( ~ empty(relation_field(empty_set))
| empty(relation_dom(empty_set)) ),
inference(superposition,[],[f115,f188]) ).
fof(f188,plain,
relation_field(empty_set) = set_union2(relation_dom(empty_set),relation_rng(empty_set)),
inference(forward_demodulation,[],[f187,f142]) ).
fof(f187,plain,
relation_field(sK12) = set_union2(relation_dom(sK12),relation_rng(sK12)),
inference(resolution,[],[f93,f128]) ).
fof(f211,plain,
( ~ empty(relation_field(sK11))
| empty(relation_rng(sK11)) ),
inference(superposition,[],[f116,f186]) ).
fof(f101,plain,
! [X0,X1] :
( sK5(X0,X1) != sK6(X0,X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f212,plain,
( ~ empty(relation_field(sK11))
| empty(relation_dom(sK11)) ),
inference(superposition,[],[f115,f186]) ).
fof(f186,plain,
relation_field(sK11) = set_union2(relation_dom(sK11),relation_rng(sK11)),
inference(resolution,[],[f93,f126]) ).
fof(f200,plain,
( ~ empty(relation_field(sK10))
| empty(relation_rng(sK10)) ),
inference(superposition,[],[f116,f185]) ).
fof(f201,plain,
( ~ empty(relation_field(sK10))
| empty(relation_dom(sK10)) ),
inference(superposition,[],[f115,f185]) ).
fof(f185,plain,
relation_field(sK10) = set_union2(relation_dom(sK10),relation_rng(sK10)),
inference(resolution,[],[f93,f124]) ).
fof(f189,plain,
( ~ empty(relation_field(sK2))
| empty(relation_rng(sK2)) ),
inference(superposition,[],[f116,f184]) ).
fof(f190,plain,
( ~ empty(relation_field(sK2))
| empty(relation_dom(sK2)) ),
inference(superposition,[],[f115,f184]) ).
fof(f184,plain,
relation_field(sK2) = set_union2(relation_dom(sK2),relation_rng(sK2)),
inference(resolution,[],[f93,f84]) ).
fof(f183,plain,
relation_field(empty_set) = set_union2(relation_dom(empty_set),relation_rng(empty_set)),
inference(resolution,[],[f93,f145]) ).
fof(f93,plain,
! [X0] :
( ~ relation(X0)
| relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_1) ).
fof(f178,plain,
! [X0,X1] :
( ~ in(X1,sK6(X0,X1))
| sP0(X0,X1) ),
inference(resolution,[],[f100,f117]) ).
fof(f173,plain,
! [X0,X1] :
( ~ in(X1,sK5(X0,X1))
| sP0(X0,X1) ),
inference(resolution,[],[f99,f117]) ).
fof(f181,plain,
! [X0] :
( ~ in(X0,sK7(X0))
| empty(X0) ),
inference(resolution,[],[f180,f117]) ).
fof(f180,plain,
! [X0] :
( in(sK7(X0),X0)
| empty(X0) ),
inference(resolution,[],[f119,f109]) ).
fof(f119,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f100,plain,
! [X0,X1] :
( in(sK6(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f177,plain,
! [X0] :
( ~ empty(relation_field(X0))
| connected(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f176,f104]) ).
fof(f176,plain,
! [X0] :
( ~ empty(relation_field(X0))
| ~ sP1(X0)
| connected(X0)
| ~ relation(X0) ),
inference(resolution,[],[f175,f95]) ).
fof(f175,plain,
! [X0,X1] :
( is_connected_in(X1,X0)
| ~ empty(X0)
| ~ sP1(X1) ),
inference(resolution,[],[f174,f97]) ).
fof(f174,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ empty(X1) ),
inference(resolution,[],[f99,f121]) ).
fof(f99,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f97,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| is_connected_in(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( is_connected_in(X0,X1)
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| ~ is_connected_in(X0,X1) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( is_connected_in(X0,X1)
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f96,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ is_connected_in(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f95,plain,
! [X0] :
( ~ is_connected_in(X0,relation_field(X0))
| connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f120,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f150,plain,
! [X0] : set_union2(empty_set,X0) = X0,
inference(superposition,[],[f113,f92]) ).
fof(f155,plain,
! [X0] : set_union2(empty_set,X0) = X0,
inference(superposition,[],[f92,f113]) ).
fof(f152,plain,
! [X0] : set_union2(empty_set,X0) = X0,
inference(superposition,[],[f92,f113]) ).
fof(f151,plain,
! [X0] : set_union2(empty_set,X0) = X0,
inference(superposition,[],[f113,f92]) ).
fof(f113,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f112,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f117,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,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(f116,plain,
! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ~ empty(X0)
=> ~ empty(set_union2(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(f115,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ empty(X0)
=> ~ empty(set_union2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(f121,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f111,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] : set_union2(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(f145,plain,
relation(empty_set),
inference(superposition,[],[f128,f142]) ).
fof(f142,plain,
empty_set = sK12,
inference(resolution,[],[f106,f129]) ).
fof(f141,plain,
empty_set = sK9,
inference(resolution,[],[f106,f123]) ).
fof(f106,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f92,plain,
! [X0] : set_union2(X0,empty_set) = X0,
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] : set_union2(X0,empty_set) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
fof(f110,plain,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
fof(f109,plain,
! [X0] : element(sK7(X0),X0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] : element(sK7(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f19,f72]) ).
fof(f72,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f19,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f104,plain,
! [X0] :
( sP1(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( sP1(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f44,f58,f57]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( is_connected_in(X0,X1)
<=> ! [X2,X3] :
( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X0)
| X2 = X3
| ~ in(X3,X1)
| ~ in(X2,X1) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_connected_in(X0,X1)
<=> ! [X2,X3] :
~ ( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_2) ).
fof(f88,plain,
( sK3 != sK4
| ~ connected(sK2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f129,plain,
empty(sK12),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( function(sK12)
& empty(sK12)
& relation(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f29,f82]) ).
fof(f82,plain,
( ? [X0] :
( function(X0)
& empty(X0)
& relation(X0) )
=> ( function(sK12)
& empty(sK12)
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
? [X0] :
( function(X0)
& empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f128,plain,
relation(sK12),
inference(cnf_transformation,[],[f83]) ).
fof(f126,plain,
relation(sK11),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( function(sK11)
& relation(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f39,f80]) ).
fof(f80,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK11)
& relation(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0] :
( function(X0)
& relation(X0) ),
inference(pure_predicate_removal,[],[f31]) ).
fof(f31,axiom,
? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f124,plain,
relation(sK10),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( function(sK10)
& relation(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f27,f78]) ).
fof(f78,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK10)
& relation(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f27,axiom,
? [X0] :
( function(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f123,plain,
empty(sK9),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
empty(sK9),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f28,f76]) ).
fof(f76,plain,
( ? [X0] : empty(X0)
=> empty(sK9) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f122,plain,
~ empty(sK8),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
~ empty(sK8),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f30,f74]) ).
fof(f74,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK8) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f91,plain,
empty(empty_set),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f98,plain,
! [X0,X1,X4,X5] :
( ~ sP0(X0,X1)
| in(ordered_pair(X4,X5),X0)
| X4 = X5
| ~ in(X5,X1)
| ~ in(X4,X1)
| in(ordered_pair(X5,X4),X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f86,plain,
( in(sK3,relation_field(sK2))
| ~ connected(sK2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f770,plain,
( ~ in(sK4,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f769,f466]) ).
fof(f466,plain,
( in(sK3,relation_field(sK2))
| ~ spl13_14 ),
inference(global_subsumption,[],[f98,f84,f91,f122,f123,f124,f126,f128,f129,f88,f104,f109,f110,f92,f106,f141,f142,f145,f111,f121,f115,f116,f117,f112,f113,f151,f152,f155,f150,f120,f94,f95,f96,f97,f99,f174,f175,f177,f100,f119,f180,f181,f173,f178,f93,f183,f184,f190,f189,f185,f201,f200,f186,f212,f101,f211,f188,f223,f222,f114,f234,f237,f238,f239,f102,f233,f245,f247,f248,f236,f249,f250,f252,f254,f255,f244,f258,f260,f261,f262,f263,f264,f103,f242,f265,f266,f267,f268,f269,f270,f271,f272,f243,f274,f275,f276,f277,f278,f279,f280,f281,f282,f273,f285,f286,f289,f290,f298,f299,f301,f302,f253,f315,f316,f309,f310,f311,f312,f259,f332,f334,f325,f326,f327,f328,f335,f336,f235,f355,f356,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f353,f354,f246,f377,f379,f361,f362,f363,f364,f365,f366,f367,f368,f369,f370,f371,f372,f373,f374,f375,f251,f380,f381,f382,f383,f384,f385,f386,f387,f388,f389,f390,f391,f392,f407,f408,f399,f400,f401,f402,f403,f404,f452,f461,f85,f462,f90,f463,f89,f464,f87,f465,f86]) ).
fof(f769,plain,
( ~ in(sK3,relation_field(sK2))
| ~ in(sK4,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f739,f463]) ).
fof(f739,plain,
( in(ordered_pair(sK4,sK3),sK2)
| ~ in(sK3,relation_field(sK2))
| ~ in(sK4,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(resolution,[],[f731,f464]) ).
fof(f731,plain,
( ! [X0,X1] :
( in(ordered_pair(X1,X0),sK2)
| in(ordered_pair(X0,X1),sK2)
| ~ in(X0,relation_field(sK2))
| ~ in(X1,relation_field(sK2))
| X0 = X1 )
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f728,f447]) ).
fof(f447,plain,
( sP1(sK2)
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl13_13
<=> sP1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f728,plain,
( ! [X0,X1] :
( X0 = X1
| ~ in(X1,relation_field(sK2))
| ~ in(X0,relation_field(sK2))
| in(ordered_pair(X1,X0),sK2)
| in(ordered_pair(X0,X1),sK2)
| ~ sP1(sK2) )
| ~ spl13_14 ),
inference(resolution,[],[f505,f452]) ).
fof(f505,plain,
! [X2,X3,X0,X1] :
( ~ is_connected_in(X2,X3)
| X0 = X1
| ~ in(X1,X3)
| ~ in(X0,X3)
| in(ordered_pair(X1,X0),X2)
| in(ordered_pair(X0,X1),X2)
| ~ sP1(X2) ),
inference(resolution,[],[f98,f96]) ).
fof(f768,plain,
( spl13_2
| ~ spl13_13
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f767]) ).
fof(f767,plain,
( $false
| spl13_2
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f766,f138]) ).
fof(f766,plain,
( sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f765,f466]) ).
fof(f765,plain,
( ~ in(sK3,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f764,f465]) ).
fof(f764,plain,
( ~ in(sK4,relation_field(sK2))
| ~ in(sK3,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f738,f464]) ).
fof(f738,plain,
( in(ordered_pair(sK3,sK4),sK2)
| ~ in(sK4,relation_field(sK2))
| ~ in(sK3,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(resolution,[],[f731,f463]) ).
fof(f759,plain,
( spl13_2
| ~ spl13_13
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f758,plain,
( $false
| spl13_2
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f757,f138]) ).
fof(f757,plain,
( sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f756,f466]) ).
fof(f756,plain,
( ~ in(sK3,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f755,f465]) ).
fof(f755,plain,
( ~ in(sK4,relation_field(sK2))
| ~ in(sK3,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f733,f463]) ).
fof(f733,plain,
( in(ordered_pair(sK4,sK3),sK2)
| ~ in(sK4,relation_field(sK2))
| ~ in(sK3,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(resolution,[],[f731,f464]) ).
fof(f754,plain,
( spl13_2
| ~ spl13_13
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f753,plain,
( $false
| spl13_2
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f752,f138]) ).
fof(f752,plain,
( sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f751,f465]) ).
fof(f751,plain,
( ~ in(sK4,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f750,f466]) ).
fof(f750,plain,
( ~ in(sK3,relation_field(sK2))
| ~ in(sK4,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f732,f464]) ).
fof(f732,plain,
( in(ordered_pair(sK3,sK4),sK2)
| ~ in(sK3,relation_field(sK2))
| ~ in(sK4,relation_field(sK2))
| sK3 = sK4
| ~ spl13_13
| ~ spl13_14 ),
inference(resolution,[],[f731,f463]) ).
fof(f460,plain,
( spl13_1
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| spl13_1
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f458,f84]) ).
fof(f458,plain,
( ~ relation(sK2)
| spl13_1
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f457,f134]) ).
fof(f134,plain,
( ~ connected(sK2)
| spl13_1 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f456,plain,
spl13_13,
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| spl13_13 ),
inference(subsumption_resolution,[],[f454,f84]) ).
fof(f454,plain,
( ~ relation(sK2)
| spl13_13 ),
inference(resolution,[],[f448,f104]) ).
fof(f448,plain,
( ~ sP1(sK2)
| spl13_13 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f453,plain,
( ~ spl13_13
| spl13_14
| spl13_1 ),
inference(avatar_split_clause,[],[f444,f132,f450,f446]) ).
fof(f444,plain,
( is_connected_in(sK2,relation_field(sK2))
| ~ sP1(sK2)
| spl13_1 ),
inference(resolution,[],[f443,f97]) ).
fof(f443,plain,
( sP0(sK2,relation_field(sK2))
| spl13_1 ),
inference(subsumption_resolution,[],[f442,f99]) ).
fof(f442,plain,
( ~ in(sK5(sK2,relation_field(sK2)),relation_field(sK2))
| sP0(sK2,relation_field(sK2))
| spl13_1 ),
inference(duplicate_literal_removal,[],[f441]) ).
fof(f441,plain,
( ~ in(sK5(sK2,relation_field(sK2)),relation_field(sK2))
| sP0(sK2,relation_field(sK2))
| sP0(sK2,relation_field(sK2))
| spl13_1 ),
inference(resolution,[],[f424,f100]) ).
fof(f424,plain,
( ! [X0] :
( ~ in(sK6(sK2,X0),relation_field(sK2))
| ~ in(sK5(sK2,X0),relation_field(sK2))
| sP0(sK2,X0) )
| spl13_1 ),
inference(subsumption_resolution,[],[f423,f101]) ).
fof(f423,plain,
( ! [X0] :
( sK6(sK2,X0) = sK5(sK2,X0)
| ~ in(sK5(sK2,X0),relation_field(sK2))
| ~ in(sK6(sK2,X0),relation_field(sK2))
| sP0(sK2,X0) )
| spl13_1 ),
inference(subsumption_resolution,[],[f409,f103]) ).
fof(f409,plain,
( ! [X0] :
( in(ordered_pair(sK6(sK2,X0),sK5(sK2,X0)),sK2)
| sK6(sK2,X0) = sK5(sK2,X0)
| ~ in(sK5(sK2,X0),relation_field(sK2))
| ~ in(sK6(sK2,X0),relation_field(sK2))
| sP0(sK2,X0) )
| spl13_1 ),
inference(resolution,[],[f337,f102]) ).
fof(f337,plain,
( ! [X3,X4] :
( in(ordered_pair(X4,X3),sK2)
| in(ordered_pair(X3,X4),sK2)
| X3 = X4
| ~ in(X4,relation_field(sK2))
| ~ in(X3,relation_field(sK2)) )
| spl13_1 ),
inference(subsumption_resolution,[],[f85,f134]) ).
fof(f440,plain,
( ~ spl13_11
| spl13_12
| spl13_1 ),
inference(avatar_split_clause,[],[f427,f132,f438,f434]) ).
fof(f434,plain,
( spl13_11
<=> empty(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f438,plain,
( spl13_12
<=> ! [X0,X1] :
( X0 = X1
| ~ in(X0,relation_field(sK2))
| ~ in(X1,relation_field(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f427,plain,
( ! [X0,X1] :
( X0 = X1
| ~ in(X1,relation_field(sK2))
| ~ in(X0,relation_field(sK2))
| ~ empty(sK2) )
| spl13_1 ),
inference(subsumption_resolution,[],[f412,f121]) ).
fof(f412,plain,
( ! [X0,X1] :
( in(ordered_pair(X0,X1),sK2)
| X0 = X1
| ~ in(X1,relation_field(sK2))
| ~ in(X0,relation_field(sK2))
| ~ empty(sK2) )
| spl13_1 ),
inference(resolution,[],[f337,f121]) ).
fof(f232,plain,
( spl13_9
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f222,f229,f225]) ).
fof(f225,plain,
( spl13_9
<=> empty(relation_rng(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f229,plain,
( spl13_10
<=> empty(relation_field(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f221,plain,
( spl13_7
| ~ spl13_8 ),
inference(avatar_split_clause,[],[f211,f218,f214]) ).
fof(f214,plain,
( spl13_7
<=> empty(relation_rng(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f218,plain,
( spl13_8
<=> empty(relation_field(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f210,plain,
( spl13_5
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f200,f207,f203]) ).
fof(f203,plain,
( spl13_5
<=> empty(relation_rng(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f207,plain,
( spl13_6
<=> empty(relation_field(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f199,plain,
( spl13_3
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f189,f196,f192]) ).
fof(f192,plain,
( spl13_3
<=> empty(relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f196,plain,
( spl13_4
<=> empty(relation_field(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f139,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f88,f136,f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU242+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n016.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri May 3 12:05:30 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 % (31107)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35 % (31114)WARNING: value z3 for option sas not known
% 0.15/0.35 % (31114)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.36 % (31113)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.36 % (31116)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.36 % (31117)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.36 % (31112)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.36 % (31119)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.36 % (31115)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.36 TRYING [1]
% 0.15/0.36 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (31114)First to succeed.
% 0.15/0.38 % (31114)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31107"
% 0.15/0.38 % (31114)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (31114)------------------------------
% 0.15/0.38 % (31114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (31114)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (31114)Memory used [KB]: 1213
% 0.15/0.38 % (31114)Time elapsed: 0.026 s
% 0.15/0.38 % (31114)Instructions burned: 74 (million)
% 0.15/0.38 % (31107)Success in time 0.038 s
%------------------------------------------------------------------------------