TSTP Solution File: SEU246+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU246+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 09:21:28 EDT 2024
% Result : Theorem 0.75s 0.85s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 133 ( 9 unt; 0 def)
% Number of atoms : 442 ( 29 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 569 ( 260 ~; 266 |; 8 &)
% ( 23 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 223 ( 221 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1200,plain,
$false,
inference(avatar_sat_refutation,[],[f260,f285,f289,f324,f330,f336,f789,f854,f912,f1195,f1199]) ).
fof(f1199,plain,
( ~ spl15_7
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f1198,f282,f278,f245,f274]) ).
fof(f274,plain,
( spl15_7
<=> in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f245,plain,
( spl15_4
<=> relation(relation_restriction(sK13,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f278,plain,
( spl15_8
<=> in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f282,plain,
( spl15_9
<=> relation(relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f1198,plain,
( ~ in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,sK12))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9 ),
inference(subsumption_resolution,[],[f1197,f165]) ).
fof(f165,plain,
~ sQ14_eqProxy(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),
inference(equality_proxy_replacement,[],[f117,f152]) ).
fof(f152,plain,
! [X0,X1] :
( sQ14_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ14_eqProxy])]) ).
fof(f117,plain,
relation_restriction(sK13,sK12) != relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
? [X0,X1] :
( relation_restriction(X1,X0) != relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
& relation(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.Azwmr20pWA/Vampire---4.8_19951',t17_wellord1) ).
fof(f1197,plain,
( ~ in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,sK12))
| sQ14_eqProxy(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9 ),
inference(subsumption_resolution,[],[f1196,f246]) ).
fof(f246,plain,
( relation(relation_restriction(sK13,sK12))
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f1196,plain,
( ~ relation(relation_restriction(sK13,sK12))
| ~ in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,sK12))
| sQ14_eqProxy(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| ~ spl15_8
| ~ spl15_9 ),
inference(subsumption_resolution,[],[f918,f283]) ).
fof(f283,plain,
( relation(relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f918,plain,
( ~ relation(relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| ~ relation(relation_restriction(sK13,sK12))
| ~ in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,sK12))
| sQ14_eqProxy(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| ~ spl15_8 ),
inference(resolution,[],[f280,f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X0)
| sQ14_eqProxy(X0,X1) ),
inference(equality_proxy_replacement,[],[f136,f152]) ).
fof(f136,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X1)
| ~ in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f87,f88,f88]) ).
fof(f88,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/tmp/tmp.Azwmr20pWA/Vampire---4.8_19951',d5_tarski) ).
fof(f87,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X1)
| ~ in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( X0 = X1
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Azwmr20pWA/Vampire---4.8_19951',d2_relat_1) ).
fof(f280,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f1195,plain,
( spl15_7
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f1192,f327,f321,f317,f274]) ).
fof(f317,plain,
( spl15_10
<=> relation(relation_rng_restriction(sK12,sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f321,plain,
( spl15_11
<=> in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_rng_restriction(sK12,sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f327,plain,
( spl15_12
<=> in(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f1192,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,sK12))
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f1191,f329]) ).
fof(f329,plain,
( in(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK12)
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f1191,plain,
( ~ in(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK12)
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,sK12))
| ~ spl15_10
| ~ spl15_11 ),
inference(resolution,[],[f990,f909]) ).
fof(f909,plain,
( in(sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK12)
| ~ spl15_10
| ~ spl15_11 ),
inference(subsumption_resolution,[],[f908,f116]) ).
fof(f116,plain,
relation(sK13),
inference(cnf_transformation,[],[f61]) ).
fof(f908,plain,
( in(sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK12)
| ~ relation(sK13)
| ~ spl15_10
| ~ spl15_11 ),
inference(subsumption_resolution,[],[f859,f318]) ).
fof(f318,plain,
( relation(relation_rng_restriction(sK12,sK13))
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f859,plain,
( ~ relation(relation_rng_restriction(sK12,sK13))
| in(sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK12)
| ~ relation(sK13)
| ~ spl15_11 ),
inference(resolution,[],[f323,f149]) ).
fof(f149,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| in(X4,X0)
| ~ relation(X1) ),
inference(equality_resolution,[],[f132]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| ~ relation(X2)
| in(X4,X0)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_rng_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f81,f88]) ).
fof(f81,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| ~ relation(X2)
| in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2)
| relation_rng_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) ) ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( relation_rng_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Azwmr20pWA/Vampire---4.8_19951',d12_relat_1) ).
fof(f323,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_rng_restriction(sK12,sK13))
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f990,plain,
( ! [X0] :
( ~ in(sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),X0)
| ~ in(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),X0)
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,X0)) )
| ~ spl15_10
| ~ spl15_11 ),
inference(subsumption_resolution,[],[f984,f116]) ).
fof(f984,plain,
( ! [X0] :
( ~ in(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),X0)
| ~ in(sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),X0)
| ~ relation(sK13)
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,X0)) )
| ~ spl15_10
| ~ spl15_11 ),
inference(resolution,[],[f911,f227]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),X3)
| ~ in(X2,X1)
| ~ in(X0,X1)
| ~ relation(X3)
| in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),relation_restriction(X3,X1)) ),
inference(resolution,[],[f141,f115]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2)
| ~ relation(X2)
| in(X0,relation_restriction(X2,X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Azwmr20pWA/Vampire---4.8_19951',t16_wellord1) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(definition_unfolding,[],[f112,f88]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,X2)
| ~ in(X1,X3)
| in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.Azwmr20pWA/Vampire---4.8_19951',t106_zfmisc_1) ).
fof(f911,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),sK13)
| ~ spl15_10
| ~ spl15_11 ),
inference(subsumption_resolution,[],[f910,f116]) ).
fof(f910,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),sK13)
| ~ relation(sK13)
| ~ spl15_10
| ~ spl15_11 ),
inference(subsumption_resolution,[],[f858,f318]) ).
fof(f858,plain,
( ~ relation(relation_rng_restriction(sK12,sK13))
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),sK13)
| ~ relation(sK13)
| ~ spl15_11 ),
inference(resolution,[],[f323,f148]) ).
fof(f148,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
| ~ relation(X1) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_rng_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f82,f88,f88]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| ~ relation(X2)
| in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2)
| relation_rng_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f50]) ).
fof(f912,plain,
( spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f905,f327,f321,f317,f278]) ).
fof(f905,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12 ),
inference(resolution,[],[f867,f329]) ).
fof(f867,plain,
( ! [X0] :
( ~ in(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),X0)
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_dom_restriction(relation_rng_restriction(sK12,sK13),X0)) )
| ~ spl15_10
| ~ spl15_11 ),
inference(subsumption_resolution,[],[f861,f318]) ).
fof(f861,plain,
( ! [X0] :
( ~ in(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),X0)
| ~ relation(relation_rng_restriction(sK12,sK13))
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_dom_restriction(relation_rng_restriction(sK12,sK13),X0)) )
| ~ spl15_11 ),
inference(resolution,[],[f323,f265]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X0)
| ~ in(X1,X2)
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),relation_dom_restriction(X0,X2)) ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f264,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| ~ in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X0)
| in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),relation_dom_restriction(X0,X2))
| ~ relation(X0) ),
inference(resolution,[],[f144,f91]) ).
fof(f91,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.Azwmr20pWA/Vampire---4.8_19951',dt_k7_relat_1) ).
fof(f144,plain,
! [X3,X0,X1,X4] :
( ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ in(X3,X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
inference(equality_resolution,[],[f124]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| ~ in(X3,X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f77,f88,f88]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| in(ordered_pair(X3,X4),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_dom_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) ) ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation(X2)
=> ( relation_dom_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Azwmr20pWA/Vampire---4.8_19951',d11_relat_1) ).
fof(f854,plain,
( spl15_11
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f851,f274,f321]) ).
fof(f851,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_rng_restriction(sK12,sK13))
| ~ spl15_7 ),
inference(resolution,[],[f806,f692]) ).
fof(f692,plain,
( in(sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK12)
| ~ spl15_7 ),
inference(resolution,[],[f653,f142]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(definition_unfolding,[],[f111,f88]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( in(X1,X3)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f653,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),cartesian_product2(sK12,sK12))
| ~ spl15_7 ),
inference(subsumption_resolution,[],[f645,f116]) ).
fof(f645,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),cartesian_product2(sK12,sK12))
| ~ relation(sK13)
| ~ spl15_7 ),
inference(resolution,[],[f276,f114]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X2,X1))
| in(X0,cartesian_product2(X1,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f276,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,sK12))
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f806,plain,
( ! [X0] :
( ~ in(sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),X0)
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_rng_restriction(X0,sK13)) )
| ~ spl15_7 ),
inference(subsumption_resolution,[],[f800,f116]) ).
fof(f800,plain,
( ! [X0] :
( ~ in(sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),X0)
| ~ relation(sK13)
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_rng_restriction(X0,sK13)) )
| ~ spl15_7 ),
inference(resolution,[],[f790,f268]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X0)
| ~ in(X1,X2)
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),relation_rng_restriction(X2,X0)) ),
inference(duplicate_literal_removal,[],[f267]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| ~ in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X0)
| in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),relation_rng_restriction(X2,X0))
| ~ relation(X0) ),
inference(resolution,[],[f147,f92]) ).
fof(f92,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.Azwmr20pWA/Vampire---4.8_19951',dt_k8_relat_1) ).
fof(f147,plain,
! [X3,X0,X1,X4] :
( ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1)
| ~ in(X4,X0)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X0,X1)) ),
inference(equality_resolution,[],[f130]) ).
fof(f130,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| ~ relation(X2)
| ~ in(X4,X0)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_rng_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f83,f88,f88]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| ~ relation(X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| in(ordered_pair(X3,X4),X2)
| relation_rng_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f50]) ).
fof(f790,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),sK13)
| ~ spl15_7 ),
inference(subsumption_resolution,[],[f646,f116]) ).
fof(f646,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),sK13)
| ~ relation(sK13)
| ~ spl15_7 ),
inference(resolution,[],[f276,f113]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X2,X1))
| in(X0,X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f789,plain,
( spl15_12
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f691,f274,f327]) ).
fof(f691,plain,
( in(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK12)
| ~ spl15_7 ),
inference(resolution,[],[f653,f143]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(definition_unfolding,[],[f110,f88]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f336,plain,
spl15_10,
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| spl15_10 ),
inference(subsumption_resolution,[],[f334,f116]) ).
fof(f334,plain,
( ~ relation(sK13)
| spl15_10 ),
inference(resolution,[],[f319,f92]) ).
fof(f319,plain,
( ~ relation(relation_rng_restriction(sK12,sK13))
| spl15_10 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f330,plain,
( ~ spl15_10
| spl15_12
| ~ spl15_8
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f325,f282,f278,f327,f317]) ).
fof(f325,plain,
( in(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK12)
| ~ relation(relation_rng_restriction(sK12,sK13))
| ~ spl15_8
| ~ spl15_9 ),
inference(subsumption_resolution,[],[f308,f283]) ).
fof(f308,plain,
( ~ relation(relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| in(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK12)
| ~ relation(relation_rng_restriction(sK12,sK13))
| ~ spl15_8 ),
inference(resolution,[],[f280,f146]) ).
fof(f146,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| in(X3,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f126]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(X3,X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f75,f88]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(X3,X1)
| ~ in(ordered_pair(X3,X4),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f324,plain,
( ~ spl15_10
| spl15_11
| ~ spl15_8
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f315,f282,f278,f321,f317]) ).
fof(f315,plain,
( in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_rng_restriction(sK12,sK13))
| ~ relation(relation_rng_restriction(sK12,sK13))
| ~ spl15_8
| ~ spl15_9 ),
inference(subsumption_resolution,[],[f307,f283]) ).
fof(f307,plain,
( ~ relation(relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_rng_restriction(sK12,sK13))
| ~ relation(relation_rng_restriction(sK12,sK13))
| ~ spl15_8 ),
inference(resolution,[],[f280,f145]) ).
fof(f145,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f125]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f76,f88,f88]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f289,plain,
spl15_9,
inference(avatar_contradiction_clause,[],[f288]) ).
fof(f288,plain,
( $false
| spl15_9 ),
inference(subsumption_resolution,[],[f287,f116]) ).
fof(f287,plain,
( ~ relation(sK13)
| spl15_9 ),
inference(resolution,[],[f286,f92]) ).
fof(f286,plain,
( ~ relation(relation_rng_restriction(sK12,sK13))
| spl15_9 ),
inference(resolution,[],[f284,f91]) ).
fof(f284,plain,
( ~ relation(relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| spl15_9 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f285,plain,
( spl15_7
| spl15_8
| ~ spl15_9
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f272,f245,f282,f278,f274]) ).
fof(f272,plain,
( ~ relation(relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,sK12))
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f271,f246]) ).
fof(f271,plain,
( ~ relation(relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))
| in(unordered_pair(unordered_pair(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)),sK5(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12))),singleton(sK4(relation_restriction(sK13,sK12),relation_dom_restriction(relation_rng_restriction(sK12,sK13),sK12)))),relation_restriction(sK13,sK12))
| ~ relation(relation_restriction(sK13,sK12)) ),
inference(resolution,[],[f162,f165]) ).
fof(f162,plain,
! [X0,X1] :
( sQ14_eqProxy(X0,X1)
| ~ relation(X1)
| in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X1)
| in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X0)
| ~ relation(X0) ),
inference(equality_proxy_replacement,[],[f137,f152]) ).
fof(f137,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X1)
| in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f86,f88,f88]) ).
fof(f86,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X1)
| in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f51]) ).
fof(f260,plain,
spl15_4,
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f259,plain,
( $false
| spl15_4 ),
inference(subsumption_resolution,[],[f258,f116]) ).
fof(f258,plain,
( ~ relation(sK13)
| spl15_4 ),
inference(resolution,[],[f247,f90]) ).
fof(f90,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.Azwmr20pWA/Vampire---4.8_19951',dt_k2_wellord1) ).
fof(f247,plain,
( ~ relation(relation_restriction(sK13,sK12))
| spl15_4 ),
inference(avatar_component_clause,[],[f245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU246+1 : TPTP v8.1.2. Released v3.3.0.
% 0.16/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 11:16:46 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Azwmr20pWA/Vampire---4.8_19951
% 0.60/0.79 % (20326)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79 % (20329)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.79 % (20322)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79 % (20324)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (20323)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.79 % (20325)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79 % (20327)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.79 % (20328)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.79 % (20329)Refutation not found, incomplete strategy% (20329)------------------------------
% 0.60/0.79 % (20329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (20329)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (20329)Memory used [KB]: 1066
% 0.60/0.79 % (20329)Time elapsed: 0.003 s
% 0.60/0.79 % (20329)Instructions burned: 5 (million)
% 0.60/0.79 % (20329)------------------------------
% 0.60/0.79 % (20329)------------------------------
% 0.60/0.79 % (20326)Refutation not found, incomplete strategy% (20326)------------------------------
% 0.60/0.79 % (20326)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (20326)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (20326)Memory used [KB]: 1144
% 0.60/0.79 % (20326)Time elapsed: 0.004 s
% 0.60/0.79 % (20326)Instructions burned: 7 (million)
% 0.60/0.79 % (20326)------------------------------
% 0.60/0.79 % (20326)------------------------------
% 0.60/0.79 % (20327)Refutation not found, incomplete strategy% (20327)------------------------------
% 0.60/0.79 % (20327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (20327)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (20327)Memory used [KB]: 1034
% 0.60/0.79 % (20327)Time elapsed: 0.004 s
% 0.60/0.79 % (20327)Instructions burned: 4 (million)
% 0.60/0.79 % (20327)------------------------------
% 0.60/0.79 % (20327)------------------------------
% 0.60/0.80 % (20335)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.80 % (20336)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.80 % (20322)Refutation not found, incomplete strategy% (20322)------------------------------
% 0.60/0.80 % (20322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (20322)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (20322)Memory used [KB]: 1096
% 0.60/0.80 % (20322)Time elapsed: 0.007 s
% 0.60/0.80 % (20322)Instructions burned: 9 (million)
% 0.60/0.80 % (20322)------------------------------
% 0.60/0.80 % (20322)------------------------------
% 0.60/0.80 % (20338)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.80 % (20341)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.81 % (20325)Instruction limit reached!
% 0.60/0.81 % (20325)------------------------------
% 0.60/0.81 % (20325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (20325)Termination reason: Unknown
% 0.60/0.81 % (20325)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (20325)Memory used [KB]: 1540
% 0.60/0.81 % (20325)Time elapsed: 0.020 s
% 0.60/0.81 % (20325)Instructions burned: 34 (million)
% 0.60/0.81 % (20325)------------------------------
% 0.60/0.81 % (20325)------------------------------
% 0.60/0.81 % (20336)Instruction limit reached!
% 0.60/0.81 % (20336)------------------------------
% 0.60/0.81 % (20336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (20336)Termination reason: Unknown
% 0.60/0.81 % (20336)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (20336)Memory used [KB]: 1675
% 0.60/0.81 % (20336)Time elapsed: 0.018 s
% 0.60/0.81 % (20336)Instructions burned: 51 (million)
% 0.60/0.81 % (20336)------------------------------
% 0.60/0.81 % (20336)------------------------------
% 0.60/0.81 % (20335)Instruction limit reached!
% 0.60/0.81 % (20335)------------------------------
% 0.60/0.81 % (20335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (20335)Termination reason: Unknown
% 0.60/0.81 % (20335)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (20335)Memory used [KB]: 1912
% 0.60/0.81 % (20335)Time elapsed: 0.020 s
% 0.60/0.81 % (20335)Instructions burned: 56 (million)
% 0.60/0.81 % (20335)------------------------------
% 0.60/0.81 % (20335)------------------------------
% 0.60/0.81 % (20346)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.82 % (20347)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.82 % (20348)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.82 % (20346)Refutation not found, incomplete strategy% (20346)------------------------------
% 0.60/0.82 % (20346)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (20346)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (20346)Memory used [KB]: 1120
% 0.60/0.82 % (20346)Time elapsed: 0.005 s
% 0.60/0.82 % (20346)Instructions burned: 6 (million)
% 0.60/0.82 % (20346)------------------------------
% 0.60/0.82 % (20346)------------------------------
% 0.60/0.82 % (20323)Instruction limit reached!
% 0.60/0.82 % (20323)------------------------------
% 0.60/0.82 % (20323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (20323)Termination reason: Unknown
% 0.60/0.82 % (20323)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (20323)Memory used [KB]: 1392
% 0.60/0.82 % (20323)Time elapsed: 0.031 s
% 0.60/0.82 % (20323)Instructions burned: 52 (million)
% 0.60/0.82 % (20323)------------------------------
% 0.60/0.82 % (20323)------------------------------
% 0.75/0.82 % (20351)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.75/0.83 % (20354)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.75/0.83 % (20347)Instruction limit reached!
% 0.75/0.83 % (20347)------------------------------
% 0.75/0.83 % (20347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.83 % (20347)Termination reason: Unknown
% 0.75/0.83 % (20347)Termination phase: Saturation
% 0.75/0.83
% 0.75/0.83 % (20347)Memory used [KB]: 1477
% 0.75/0.83 % (20347)Time elapsed: 0.015 s
% 0.75/0.83 % (20347)Instructions burned: 43 (million)
% 0.75/0.83 % (20347)------------------------------
% 0.75/0.83 % (20347)------------------------------
% 0.75/0.83 % (20358)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.75/0.83 % (20341)Instruction limit reached!
% 0.75/0.83 % (20341)------------------------------
% 0.75/0.83 % (20341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.83 % (20341)Termination reason: Unknown
% 0.75/0.83 % (20341)Termination phase: Saturation
% 0.75/0.83
% 0.75/0.83 % (20341)Memory used [KB]: 1572
% 0.75/0.83 % (20341)Time elapsed: 0.032 s
% 0.75/0.83 % (20341)Instructions burned: 52 (million)
% 0.75/0.83 % (20341)------------------------------
% 0.75/0.83 % (20341)------------------------------
% 0.75/0.84 % (20362)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.75/0.84 % (20324)Instruction limit reached!
% 0.75/0.84 % (20324)------------------------------
% 0.75/0.84 % (20324)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.84 % (20324)Termination reason: Unknown
% 0.75/0.84 % (20324)Termination phase: Saturation
% 0.75/0.84
% 0.75/0.84 % (20324)Memory used [KB]: 1889
% 0.75/0.84 % (20324)Time elapsed: 0.048 s
% 0.75/0.84 % (20324)Instructions burned: 78 (million)
% 0.75/0.84 % (20324)------------------------------
% 0.75/0.84 % (20324)------------------------------
% 0.75/0.84 % (20328)Instruction limit reached!
% 0.75/0.84 % (20328)------------------------------
% 0.75/0.84 % (20328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.84 % (20328)Termination reason: Unknown
% 0.75/0.84 % (20328)Termination phase: Saturation
% 0.75/0.84
% 0.75/0.84 % (20328)Memory used [KB]: 2055
% 0.75/0.84 % (20328)Time elapsed: 0.050 s
% 0.75/0.84 % (20328)Instructions burned: 83 (million)
% 0.75/0.84 % (20328)------------------------------
% 0.75/0.84 % (20328)------------------------------
% 0.75/0.84 % (20365)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.75/0.84 % (20351)First to succeed.
% 0.75/0.84 % (20366)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.75/0.85 % (20351)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20199"
% 0.75/0.85 % (20351)Refutation found. Thanks to Tanya!
% 0.75/0.85 % SZS status Theorem for Vampire---4
% 0.75/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.75/0.85 % (20351)------------------------------
% 0.75/0.85 % (20351)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.85 % (20351)Termination reason: Refutation
% 0.75/0.85
% 0.75/0.85 % (20351)Memory used [KB]: 1321
% 0.75/0.85 % (20351)Time elapsed: 0.026 s
% 0.75/0.85 % (20351)Instructions burned: 39 (million)
% 0.75/0.85 % (20199)Success in time 0.47 s
% 0.75/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------