TSTP Solution File: SEU450+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU450+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n005.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 09:24:17 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 134 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 2090 ( 30 equ)
% Maximal formula atoms : 10 ( 15 avg)
% Number of connectives : 513 ( 227 ~; 220 |; 28 &)
% ( 19 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1671 (1671 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 30 ( 28 usr; 20 prp; 0-4 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 163 ( 146 !; 16 ?; 71 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_12,type,
sQ9_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f328,plain,
$false,
inference(avatar_sat_refutation,[],[f139,f165,f202,f211,f217,f228,f235,f243,f249,f263,f293,f298,f302,f312,f327]) ).
tff(f327,plain,
( spl10_20
| ~ spl10_19 ),
inference(avatar_split_clause,[],[f326,f290,f309]) ).
tff(f309,plain,
( spl10_20
<=> r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
tff(f290,plain,
( spl10_19
<=> m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).
tff(f326,plain,
( r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ spl10_19 ),
inference(subsumption_resolution,[],[f325,f92]) ).
tff(f92,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(cnf_transformation,[],[f78]) ).
tff(f78,plain,
( ( ( k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)) != k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)) )
| ( k8_relset_2(sK0,sK1,sK2,sK4) != k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4) ) )
& m2_relset_1(sK4,sK0,sK1)
& m1_subset_1(sK3,k1_zfmisc_1(sK1))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f59,f77,f76,f75]) ).
tff(f75,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ( k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)) != k8_relset_2(X1,X0,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4),k6_relset_1(X0,X1,X4)) )
| ( k8_relset_2(X0,X1,X2,X4) != k8_relset_2(X0,X1,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)),X4) ) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( ? [X3] :
( ? [X4] :
( ( ( k8_relset_2(sK1,sK0,X3,k6_relset_1(sK0,sK1,X4)) != k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,X3,k6_relset_1(sK0,sK1,X4)),X4),k6_relset_1(sK0,sK1,X4)) )
| ( k8_relset_2(sK0,sK1,sK2,X4) != k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4)),X4) ) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(X3,k1_zfmisc_1(sK1)) )
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f76,plain,
( ? [X3] :
( ? [X4] :
( ( ( k8_relset_2(sK1,sK0,X3,k6_relset_1(sK0,sK1,X4)) != k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,X3,k6_relset_1(sK0,sK1,X4)),X4),k6_relset_1(sK0,sK1,X4)) )
| ( k8_relset_2(sK0,sK1,sK2,X4) != k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4)),X4) ) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(X3,k1_zfmisc_1(sK1)) )
=> ( ? [X4] :
( ( ( k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,X4)) != k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,X4)),X4),k6_relset_1(sK0,sK1,X4)) )
| ( k8_relset_2(sK0,sK1,sK2,X4) != k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4)),X4) ) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(sK3,k1_zfmisc_1(sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f77,plain,
( ? [X4] :
( ( ( k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,X4)) != k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,X4)),X4),k6_relset_1(sK0,sK1,X4)) )
| ( k8_relset_2(sK0,sK1,sK2,X4) != k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4)),X4) ) )
& m2_relset_1(X4,sK0,sK1) )
=> ( ( ( k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)) != k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)) )
| ( k8_relset_2(sK0,sK1,sK2,sK4) != k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4) ) )
& m2_relset_1(sK4,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f59,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ( k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)) != k8_relset_2(X1,X0,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4),k6_relset_1(X0,X1,X4)) )
| ( k8_relset_2(X0,X1,X2,X4) != k8_relset_2(X0,X1,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)),X4) ) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( ( k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)) = k8_relset_2(X1,X0,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4),k6_relset_1(X0,X1,X4)) )
& ( k8_relset_2(X0,X1,X2,X4) = k8_relset_2(X0,X1,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)),X4) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( ( k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)) = k8_relset_2(X1,X0,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4),k6_relset_1(X0,X1,X4)) )
& ( k8_relset_2(X0,X1,X2,X4) = k8_relset_2(X0,X1,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)),X4) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3TSD1Mfw0J/Vampire---4.8_22191',t64_relset_2) ).
tff(f325,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ spl10_19 ),
inference(subsumption_resolution,[],[f324,f93]) ).
tff(f93,plain,
m2_relset_1(sK4,sK0,sK1),
inference(cnf_transformation,[],[f78]) ).
tff(f324,plain,
( ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ spl10_19 ),
inference(resolution,[],[f291,f203]) ).
tff(f203,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ m1_subset_1(k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)),k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| r1_tarski(X0,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)),X3)) ),
inference(resolution,[],[f110,f119]) ).
tff(f119,plain,
! [X1: $i] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f100]) ).
tff(f100,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f80]) ).
tff(f80,plain,
! [X0,X1] :
( ( ( X0 = X1 )
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) )
& ( ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) )
| ( X0 != X1 ) ) ),
inference(flattening,[],[f79]) ).
tff(f79,plain,
! [X0,X1] :
( ( ( X0 = X1 )
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) )
& ( ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) )
| ( X0 != X1 ) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f6,axiom,
! [X0,X1] :
( ( X0 = X1 )
<=> ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.3TSD1Mfw0J/Vampire---4.8_22191',d10_xboole_0) ).
tff(f110,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f87]) ).
tff(f87,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
& ( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4))) ) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f55]) ).
tff(f55,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3TSD1Mfw0J/Vampire---4.8_22191',t61_relset_2) ).
tff(f291,plain,
( m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| ~ spl10_19 ),
inference(avatar_component_clause,[],[f290]) ).
tff(f312,plain,
( ~ spl10_17
| ~ spl10_20
| ~ spl10_11
| spl10_14 ),
inference(avatar_split_clause,[],[f307,f260,f199,f309,f279]) ).
tff(f279,plain,
( spl10_17
<=> m1_subset_1(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
tff(f199,plain,
( spl10_11
<=> m1_subset_1(k6_relset_1(sK0,sK1,sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
tff(f260,plain,
( spl10_14
<=> r1_tarski(k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)),k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
tff(f307,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k1_zfmisc_1(sK1))
| ~ spl10_11
| spl10_14 ),
inference(subsumption_resolution,[],[f306,f92]) ).
tff(f306,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ spl10_11
| spl10_14 ),
inference(subsumption_resolution,[],[f304,f200]) ).
tff(f200,plain,
( m1_subset_1(k6_relset_1(sK0,sK1,sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f199]) ).
tff(f304,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ m1_subset_1(k6_relset_1(sK0,sK1,sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| spl10_14 ),
inference(resolution,[],[f262,f112]) ).
tff(f112,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f69]) ).
tff(f69,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f68]) ).
tff(f68,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f51]) ).
tff(f51,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_tarski(X2,X3)
=> r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3TSD1Mfw0J/Vampire---4.8_22191',t32_relset_2) ).
tff(f262,plain,
( ~ r1_tarski(k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)),k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)))
| spl10_14 ),
inference(avatar_component_clause,[],[f260]) ).
tff(f302,plain,
( ~ spl10_11
| spl10_19 ),
inference(avatar_contradiction_clause,[],[f301]) ).
tff(f301,plain,
( $false
| ~ spl10_11
| spl10_19 ),
inference(subsumption_resolution,[],[f300,f92]) ).
tff(f300,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ spl10_11
| spl10_19 ),
inference(subsumption_resolution,[],[f299,f200]) ).
tff(f299,plain,
( ~ m1_subset_1(k6_relset_1(sK0,sK1,sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| spl10_19 ),
inference(resolution,[],[f292,f114]) ).
tff(f114,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f73]) ).
tff(f73,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f72]) ).
tff(f72,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.3TSD1Mfw0J/Vampire---4.8_22191',dt_k8_relset_2) ).
tff(f292,plain,
( ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| spl10_19 ),
inference(avatar_component_clause,[],[f290]) ).
tff(f298,plain,
( ~ spl10_19
| ~ spl10_8
| spl10_17 ),
inference(avatar_split_clause,[],[f297,f279,f185,f290]) ).
tff(f185,plain,
( spl10_8
<=> m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
tff(f297,plain,
( ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| ~ spl10_8
| spl10_17 ),
inference(subsumption_resolution,[],[f296,f186]) ).
tff(f186,plain,
( m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f185]) ).
tff(f296,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| spl10_17 ),
inference(resolution,[],[f281,f114]) ).
tff(f281,plain,
( ~ m1_subset_1(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k1_zfmisc_1(sK1))
| spl10_17 ),
inference(avatar_component_clause,[],[f279]) ).
tff(f293,plain,
( ~ spl10_19
| ~ spl10_17
| spl10_13 ),
inference(avatar_split_clause,[],[f288,f256,f279,f290]) ).
tff(f256,plain,
( spl10_13
<=> r1_tarski(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
tff(f288,plain,
( ~ m1_subset_1(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| spl10_13 ),
inference(subsumption_resolution,[],[f287,f93]) ).
tff(f287,plain,
( ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| spl10_13 ),
inference(subsumption_resolution,[],[f275,f119]) ).
tff(f275,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| spl10_13 ),
inference(resolution,[],[f258,f111]) ).
tff(f111,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f87]) ).
tff(f258,plain,
( ~ r1_tarski(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)))
| spl10_13 ),
inference(avatar_component_clause,[],[f256]) ).
tff(f263,plain,
( ~ spl10_13
| ~ spl10_14
| spl10_2 ),
inference(avatar_split_clause,[],[f252,f136,f260,f256]) ).
tff(f136,plain,
( spl10_2
<=> sQ9_eqProxy($i,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
tff(f252,plain,
( ~ r1_tarski(k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)),k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)))
| ~ r1_tarski(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)))
| spl10_2 ),
inference(resolution,[],[f138,f127]) ).
tff(f127,plain,
! [X0: $i,X1: $i] :
( sQ9_eqProxy($i,X0,X1)
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(equality_proxy_replacement,[],[f101,f121]) ).
tff(f121,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ9_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ9_eqProxy])]) ).
tff(f101,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
tff(f138,plain,
( ~ sQ9_eqProxy($i,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)))
| spl10_2 ),
inference(avatar_component_clause,[],[f136]) ).
tff(f249,plain,
( ~ spl10_10
| spl10_12 ),
inference(avatar_contradiction_clause,[],[f248]) ).
tff(f248,plain,
( $false
| ~ spl10_10
| spl10_12 ),
inference(subsumption_resolution,[],[f247,f91]) ).
tff(f91,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f78]) ).
tff(f247,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ spl10_10
| spl10_12 ),
inference(subsumption_resolution,[],[f246,f196]) ).
tff(f196,plain,
( m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f195]) ).
tff(f195,plain,
( spl10_10
<=> m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
tff(f246,plain,
( ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| spl10_12 ),
inference(subsumption_resolution,[],[f245,f93]) ).
tff(f245,plain,
( ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| spl10_12 ),
inference(subsumption_resolution,[],[f244,f119]) ).
tff(f244,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| spl10_12 ),
inference(resolution,[],[f242,f111]) ).
tff(f242,plain,
( ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)))
| spl10_12 ),
inference(avatar_component_clause,[],[f240]) ).
tff(f240,plain,
( spl10_12
<=> r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
tff(f243,plain,
( ~ spl10_7
| ~ spl10_12
| spl10_6
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f238,f185,f162,f240,f181]) ).
tff(f181,plain,
( spl10_7
<=> m1_subset_1(k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
tff(f162,plain,
( spl10_6
<=> r1_tarski(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4),k8_relset_2(sK0,sK1,sK2,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
tff(f238,plain,
( ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| spl10_6
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f237,f91]) ).
tff(f237,plain,
( ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| spl10_6
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f231,f186]) ).
tff(f231,plain,
( ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| spl10_6 ),
inference(resolution,[],[f164,f112]) ).
tff(f164,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| spl10_6 ),
inference(avatar_component_clause,[],[f162]) ).
tff(f235,plain,
spl10_11,
inference(avatar_contradiction_clause,[],[f234]) ).
tff(f234,plain,
( $false
| spl10_11 ),
inference(subsumption_resolution,[],[f232,f93]) ).
tff(f232,plain,
( ~ m2_relset_1(sK4,sK0,sK1)
| spl10_11 ),
inference(resolution,[],[f230,f166]) ).
tff(f166,plain,
! [X2: $i,X0: $i,X1: $i] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m2_relset_1(X2,X0,X1) ),
inference(forward_literal_rewriting,[],[f118,f115]) ).
tff(f115,plain,
! [X2: $i,X0: $i,X1: $i] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
tff(f88,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f47]) ).
tff(f47,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.3TSD1Mfw0J/Vampire---4.8_22191',redefinition_m2_relset_1) ).
tff(f118,plain,
! [X2: $i,X0: $i,X1: $i] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
tff(f74,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.3TSD1Mfw0J/Vampire---4.8_22191',dt_k6_relset_1) ).
tff(f230,plain,
( ~ m2_relset_1(k6_relset_1(sK0,sK1,sK4),sK1,sK0)
| spl10_11 ),
inference(resolution,[],[f201,f107]) ).
tff(f107,plain,
! [X2: $i,X0: $i,X1: $i] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
tff(f65,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
tff(f24,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/tmp/tmp.3TSD1Mfw0J/Vampire---4.8_22191',dt_m2_relset_1) ).
tff(f201,plain,
( ~ m1_subset_1(k6_relset_1(sK0,sK1,sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| spl10_11 ),
inference(avatar_component_clause,[],[f199]) ).
tff(f228,plain,
( spl10_5
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f227]) ).
tff(f227,plain,
( $false
| spl10_5
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f226,f93]) ).
tff(f226,plain,
( ~ m2_relset_1(sK4,sK0,sK1)
| spl10_5
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f225,f119]) ).
tff(f225,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ m2_relset_1(sK4,sK0,sK1)
| spl10_5
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f224,f196]) ).
tff(f224,plain,
( ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ m2_relset_1(sK4,sK0,sK1)
| spl10_5 ),
inference(duplicate_literal_removal,[],[f221]) ).
tff(f221,plain,
( ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| spl10_5 ),
inference(resolution,[],[f219,f160]) ).
tff(f160,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4))
| spl10_5 ),
inference(avatar_component_clause,[],[f158]) ).
tff(f158,plain,
( spl10_5
<=> r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
tff(f219,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( r1_tarski(X3,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X0)),X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_tarski(X3,X4)
| ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
inference(subsumption_resolution,[],[f218,f166]) ).
tff(f218,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_tarski(X3,X4)
| r1_tarski(X3,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X0)),X0))
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m2_relset_1(k6_relset_1(X1,X2,X0),X2,X1) ),
inference(resolution,[],[f206,f107]) ).
tff(f206,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ m1_subset_1(k6_relset_1(X1,X2,X4),k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ r1_tarski(X0,X3)
| r1_tarski(X0,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X3,k6_relset_1(X1,X2,X4)),X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(subsumption_resolution,[],[f205,f114]) ).
tff(f205,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( r1_tarski(X0,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X3,k6_relset_1(X1,X2,X4)),X4))
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(k8_relset_2(X2,X1,X3,k6_relset_1(X1,X2,X4)),k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X3)
| ~ m1_subset_1(k6_relset_1(X1,X2,X4),k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(duplicate_literal_removal,[],[f204]) ).
tff(f204,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( r1_tarski(X0,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X3,k6_relset_1(X1,X2,X4)),X4))
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(k8_relset_2(X2,X1,X3,k6_relset_1(X1,X2,X4)),k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X3)
| ~ m1_subset_1(k6_relset_1(X1,X2,X4),k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2)) ),
inference(resolution,[],[f110,f112]) ).
tff(f217,plain,
spl10_8,
inference(avatar_contradiction_clause,[],[f216]) ).
tff(f216,plain,
( $false
| spl10_8 ),
inference(subsumption_resolution,[],[f215,f93]) ).
tff(f215,plain,
( ~ m2_relset_1(sK4,sK0,sK1)
| spl10_8 ),
inference(resolution,[],[f187,f107]) ).
tff(f187,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| spl10_8 ),
inference(avatar_component_clause,[],[f185]) ).
tff(f211,plain,
( ~ spl10_8
| spl10_10 ),
inference(avatar_split_clause,[],[f210,f195,f185]) ).
tff(f210,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| spl10_10 ),
inference(subsumption_resolution,[],[f209,f91]) ).
tff(f209,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| spl10_10 ),
inference(resolution,[],[f197,f114]) ).
tff(f197,plain,
( ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| spl10_10 ),
inference(avatar_component_clause,[],[f195]) ).
tff(f202,plain,
( ~ spl10_10
| ~ spl10_11
| spl10_7 ),
inference(avatar_split_clause,[],[f193,f181,f199,f195]) ).
tff(f193,plain,
( ~ m1_subset_1(k6_relset_1(sK0,sK1,sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| spl10_7 ),
inference(resolution,[],[f183,f114]) ).
tff(f183,plain,
( ~ m1_subset_1(k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| spl10_7 ),
inference(avatar_component_clause,[],[f181]) ).
tff(f165,plain,
( ~ spl10_5
| ~ spl10_6
| spl10_1 ),
inference(avatar_split_clause,[],[f156,f132,f162,f158]) ).
tff(f132,plain,
( spl10_1
<=> sQ9_eqProxy($i,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
tff(f156,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4))
| spl10_1 ),
inference(resolution,[],[f127,f134]) ).
tff(f134,plain,
( ~ sQ9_eqProxy($i,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4))
| spl10_1 ),
inference(avatar_component_clause,[],[f132]) ).
tff(f139,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f122,f136,f132]) ).
tff(f122,plain,
( ~ sQ9_eqProxy($i,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)))
| ~ sQ9_eqProxy($i,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4)) ),
inference(equality_proxy_replacement,[],[f94,f121]) ).
tff(f94,plain,
( ( k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)) != k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4),k6_relset_1(sK0,sK1,sK4)) )
| ( k8_relset_2(sK0,sK1,sK2,sK4) != k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)),sK4) ) ),
inference(cnf_transformation,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU450+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 11:21:41 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.3TSD1Mfw0J/Vampire---4.8_22191
% 0.54/0.75 % (22594)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 (2996ds/56Mi)
% 0.54/0.75 % (22586)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 (2996ds/34Mi)
% 0.54/0.75 % (22588)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75 % (22587)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 (2996ds/51Mi)
% 0.54/0.75 % (22589)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.75 % (22590)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 (2996ds/34Mi)
% 0.54/0.75 % (22591)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.75 % (22592)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 (2996ds/83Mi)
% 0.54/0.76 % (22591)Refutation not found, incomplete strategy% (22591)------------------------------
% 0.54/0.76 % (22591)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (22591)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (22591)Memory used [KB]: 1061
% 0.59/0.76 % (22591)Time elapsed: 0.004 s
% 0.59/0.76 % (22591)Instructions burned: 4 (million)
% 0.59/0.76 % (22591)------------------------------
% 0.59/0.76 % (22591)------------------------------
% 0.59/0.76 % (22586)First to succeed.
% 0.59/0.76 % (22598)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 (2996ds/55Mi)
% 0.59/0.76 % (22586)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22445"
% 0.59/0.76 % (22586)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (22586)------------------------------
% 0.59/0.76 % (22586)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (22586)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (22586)Memory used [KB]: 1139
% 0.59/0.76 % (22586)Time elapsed: 0.010 s
% 0.59/0.76 % (22586)Instructions burned: 15 (million)
% 0.59/0.76 % (22445)Success in time 0.391 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------