TSTP Solution File: NUM401+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM401+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n009.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 08:11:37 EDT 2024
% Result : Theorem 0.80s 0.80s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 117 ( 11 unt; 0 def)
% Number of atoms : 435 ( 57 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 502 ( 184 ~; 208 |; 75 &)
% ( 20 <=>; 14 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 134 ( 114 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1062,plain,
$false,
inference(avatar_sat_refutation,[],[f276,f279,f534,f543,f548,f677,f688,f701,f719,f728,f764,f1061]) ).
fof(f1061,plain,
( spl19_1
| ~ spl19_18 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1051,plain,
( $false
| spl19_1
| ~ spl19_18 ),
inference(resolution,[],[f779,f272]) ).
fof(f272,plain,
( ~ in(sK0,set_union2(sK1,singleton(sK1)))
| spl19_1 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl19_1
<=> in(sK0,set_union2(sK1,singleton(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f779,plain,
( ! [X0] : in(sK0,set_union2(sK1,X0))
| ~ spl19_18 ),
inference(resolution,[],[f638,f263]) ).
fof(f263,plain,
! [X0,X1,X4] :
( ~ in(X4,X0)
| in(X4,set_union2(X0,X1)) ),
inference(equality_resolution,[],[f162]) ).
fof(f162,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ( ( ( ~ in(sK2(X0,X1,X2),X1)
& ~ in(sK2(X0,X1,X2),X0) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( in(sK2(X0,X1,X2),X1)
| in(sK2(X0,X1,X2),X0)
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f107,f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) )
=> ( ( ( ~ in(sK2(X0,X1,X2),X1)
& ~ in(sK2(X0,X1,X2),X0) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( in(sK2(X0,X1,X2),X1)
| in(sK2(X0,X1,X2),X0)
| in(sK2(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.SUlBATD1jP/Vampire---4.8_16577',d2_xboole_0) ).
fof(f638,plain,
( in(sK0,sK1)
| ~ spl19_18 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f637,plain,
( spl19_18
<=> in(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_18])]) ).
fof(f764,plain,
( spl19_2
| ~ spl19_10 ),
inference(avatar_contradiction_clause,[],[f763]) ).
fof(f763,plain,
( $false
| spl19_2
| ~ spl19_10 ),
inference(subsumption_resolution,[],[f742,f268]) ).
fof(f268,plain,
! [X1] : subset(X1,X1),
inference(equality_resolution,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( subset(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.SUlBATD1jP/Vampire---4.8_16577',d10_xboole_0) ).
fof(f742,plain,
( ~ subset(sK1,sK1)
| spl19_2
| ~ spl19_10 ),
inference(backward_demodulation,[],[f694,f533]) ).
fof(f533,plain,
( sK0 = sK1
| ~ spl19_10 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f532,plain,
( spl19_10
<=> sK0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).
fof(f694,plain,
( ~ subset(sK0,sK1)
| spl19_2 ),
inference(subsumption_resolution,[],[f693,f150]) ).
fof(f150,plain,
ordinal(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( ~ ordinal_subset(sK0,sK1)
| ~ in(sK0,succ(sK1)) )
& ( ordinal_subset(sK0,sK1)
| in(sK0,succ(sK1)) )
& ordinal(sK1)
& ordinal(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f101,f103,f102]) ).
fof(f102,plain,
( ? [X0] :
( ? [X1] :
( ( ~ ordinal_subset(X0,X1)
| ~ in(X0,succ(X1)) )
& ( ordinal_subset(X0,X1)
| in(X0,succ(X1)) )
& ordinal(X1) )
& ordinal(X0) )
=> ( ? [X1] :
( ( ~ ordinal_subset(sK0,X1)
| ~ in(sK0,succ(X1)) )
& ( ordinal_subset(sK0,X1)
| in(sK0,succ(X1)) )
& ordinal(X1) )
& ordinal(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ? [X1] :
( ( ~ ordinal_subset(sK0,X1)
| ~ in(sK0,succ(X1)) )
& ( ordinal_subset(sK0,X1)
| in(sK0,succ(X1)) )
& ordinal(X1) )
=> ( ( ~ ordinal_subset(sK0,sK1)
| ~ in(sK0,succ(sK1)) )
& ( ordinal_subset(sK0,sK1)
| in(sK0,succ(sK1)) )
& ordinal(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
? [X0] :
( ? [X1] :
( ( ~ ordinal_subset(X0,X1)
| ~ in(X0,succ(X1)) )
& ( ordinal_subset(X0,X1)
| in(X0,succ(X1)) )
& ordinal(X1) )
& ordinal(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ( ~ ordinal_subset(X0,X1)
| ~ in(X0,succ(X1)) )
& ( ordinal_subset(X0,X1)
| in(X0,succ(X1)) )
& ordinal(X1) )
& ordinal(X0) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ( in(X0,succ(X1))
<~> ordinal_subset(X0,X1) )
& ordinal(X1) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ( in(X0,succ(X1))
<=> ordinal_subset(X0,X1) ) ) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ( in(X0,succ(X1))
<=> ordinal_subset(X0,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.SUlBATD1jP/Vampire---4.8_16577',t34_ordinal1) ).
fof(f693,plain,
( ~ subset(sK0,sK1)
| ~ ordinal(sK0)
| spl19_2 ),
inference(subsumption_resolution,[],[f690,f151]) ).
fof(f151,plain,
ordinal(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f690,plain,
( ~ subset(sK0,sK1)
| ~ ordinal(sK1)
| ~ ordinal(sK0)
| spl19_2 ),
inference(resolution,[],[f275,f184]) ).
fof(f184,plain,
! [X0,X1] :
( ordinal_subset(X0,X1)
| ~ subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( ( ordinal(X1)
& ordinal(X0) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.SUlBATD1jP/Vampire---4.8_16577',redefinition_r1_ordinal1) ).
fof(f275,plain,
( ~ ordinal_subset(sK0,sK1)
| spl19_2 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl19_2
<=> ordinal_subset(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).
fof(f728,plain,
spl19_25,
inference(avatar_contradiction_clause,[],[f727]) ).
fof(f727,plain,
( $false
| spl19_25 ),
inference(subsumption_resolution,[],[f725,f151]) ).
fof(f725,plain,
( ~ ordinal(sK1)
| spl19_25 ),
inference(resolution,[],[f699,f209]) ).
fof(f209,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.SUlBATD1jP/Vampire---4.8_16577',cc1_ordinal1) ).
fof(f699,plain,
( ~ epsilon_transitive(sK1)
| spl19_25 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f698,plain,
( spl19_25
<=> epsilon_transitive(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_25])]) ).
fof(f719,plain,
( spl19_10
| ~ spl19_1
| spl19_18 ),
inference(avatar_split_clause,[],[f714,f637,f271,f532]) ).
fof(f714,plain,
( sK0 = sK1
| ~ spl19_1
| spl19_18 ),
inference(resolution,[],[f713,f267]) ).
fof(f267,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f170]) ).
fof(f170,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK4(X0,X1) != X0
| ~ in(sK4(X0,X1),X1) )
& ( sK4(X0,X1) = X0
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f115,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK4(X0,X1) != X0
| ~ in(sK4(X0,X1),X1) )
& ( sK4(X0,X1) = X0
| in(sK4(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.SUlBATD1jP/Vampire---4.8_16577',d1_tarski) ).
fof(f713,plain,
( in(sK0,singleton(sK1))
| ~ spl19_1
| spl19_18 ),
inference(subsumption_resolution,[],[f708,f700]) ).
fof(f700,plain,
( ~ in(sK0,sK1)
| spl19_18 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f708,plain,
( in(sK0,sK1)
| in(sK0,singleton(sK1))
| ~ spl19_1 ),
inference(resolution,[],[f277,f264]) ).
fof(f264,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f161]) ).
fof(f161,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f109]) ).
fof(f277,plain,
( in(sK0,set_union2(sK1,singleton(sK1)))
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f701,plain,
( ~ spl19_25
| ~ spl19_18
| spl19_2 ),
inference(avatar_split_clause,[],[f695,f274,f637,f698]) ).
fof(f695,plain,
( ~ in(sK0,sK1)
| ~ epsilon_transitive(sK1)
| spl19_2 ),
inference(resolution,[],[f694,f167]) ).
fof(f167,plain,
! [X2,X0] :
( subset(X2,X0)
| ~ in(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK3(X0),X0)
& in(sK3(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f111,f112]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) )
=> ( ~ subset(sK3(X0),X0)
& in(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.SUlBATD1jP/Vampire---4.8_16577',d2_ordinal1) ).
fof(f688,plain,
( spl19_12
| spl19_10
| spl19_18 ),
inference(avatar_split_clause,[],[f612,f637,f532,f541]) ).
fof(f541,plain,
( spl19_12
<=> in(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_12])]) ).
fof(f612,plain,
( in(sK0,sK1)
| sK0 = sK1
| in(sK1,sK0) ),
inference(resolution,[],[f582,f151]) ).
fof(f582,plain,
! [X0] :
( ~ ordinal(X0)
| in(sK0,X0)
| sK0 = X0
| in(X0,sK0) ),
inference(resolution,[],[f158,f150]) ).
fof(f158,plain,
! [X0,X1] :
( ~ ordinal(X0)
| X0 = X1
| in(X0,X1)
| ~ ordinal(X1)
| in(X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( in(X1,X0)
| X0 = X1
| in(X0,X1)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( in(X1,X0)
| X0 = X1
| in(X0,X1)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X1,X0)
& X0 != X1
& ~ in(X0,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.SUlBATD1jP/Vampire---4.8_16577',t24_ordinal1) ).
fof(f677,plain,
( spl19_1
| ~ spl19_10 ),
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f676,plain,
( $false
| spl19_1
| ~ spl19_10 ),
inference(subsumption_resolution,[],[f661,f255]) ).
fof(f255,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f160,f181]) ).
fof(f181,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox/tmp/tmp.SUlBATD1jP/Vampire---4.8_16577',d1_ordinal1) ).
fof(f160,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox/tmp/tmp.SUlBATD1jP/Vampire---4.8_16577',t10_ordinal1) ).
fof(f661,plain,
( ~ in(sK1,set_union2(sK1,singleton(sK1)))
| spl19_1
| ~ spl19_10 ),
inference(backward_demodulation,[],[f272,f533]) ).
fof(f548,plain,
spl19_11,
inference(avatar_contradiction_clause,[],[f547]) ).
fof(f547,plain,
( $false
| spl19_11 ),
inference(subsumption_resolution,[],[f545,f150]) ).
fof(f545,plain,
( ~ ordinal(sK0)
| spl19_11 ),
inference(resolution,[],[f539,f209]) ).
fof(f539,plain,
( ~ epsilon_transitive(sK0)
| spl19_11 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f538,plain,
( spl19_11
<=> epsilon_transitive(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_11])]) ).
fof(f543,plain,
( ~ spl19_11
| ~ spl19_12
| spl19_9 ),
inference(avatar_split_clause,[],[f535,f529,f541,f538]) ).
fof(f529,plain,
( spl19_9
<=> subset(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).
fof(f535,plain,
( ~ in(sK1,sK0)
| ~ epsilon_transitive(sK0)
| spl19_9 ),
inference(resolution,[],[f530,f167]) ).
fof(f530,plain,
( ~ subset(sK1,sK0)
| spl19_9 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f534,plain,
( ~ spl19_9
| spl19_10
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f527,f274,f532,f529]) ).
fof(f527,plain,
( sK0 = sK1
| ~ subset(sK1,sK0)
| ~ spl19_2 ),
inference(resolution,[],[f522,f222]) ).
fof(f222,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f522,plain,
( subset(sK0,sK1)
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f521,f150]) ).
fof(f521,plain,
( subset(sK0,sK1)
| ~ ordinal(sK0)
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f518,f151]) ).
fof(f518,plain,
( subset(sK0,sK1)
| ~ ordinal(sK1)
| ~ ordinal(sK0)
| ~ spl19_2 ),
inference(resolution,[],[f183,f278]) ).
fof(f278,plain,
( ordinal_subset(sK0,sK1)
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f183,plain,
! [X0,X1] :
( ~ ordinal_subset(X0,X1)
| subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f279,plain,
( spl19_1
| spl19_2 ),
inference(avatar_split_clause,[],[f254,f274,f271]) ).
fof(f254,plain,
( ordinal_subset(sK0,sK1)
| in(sK0,set_union2(sK1,singleton(sK1))) ),
inference(definition_unfolding,[],[f152,f181]) ).
fof(f152,plain,
( ordinal_subset(sK0,sK1)
| in(sK0,succ(sK1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f276,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f253,f274,f271]) ).
fof(f253,plain,
( ~ ordinal_subset(sK0,sK1)
| ~ in(sK0,set_union2(sK1,singleton(sK1))) ),
inference(definition_unfolding,[],[f153,f181]) ).
fof(f153,plain,
( ~ ordinal_subset(sK0,sK1)
| ~ in(sK0,succ(sK1)) ),
inference(cnf_transformation,[],[f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM401+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % 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
% 0.16/0.37 % Computer : n009.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 15:10:38 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 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.SUlBATD1jP/Vampire---4.8_16577
% 0.58/0.75 % (16842)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)
% 0.58/0.75 % (16836)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)
% 0.58/0.75 % (16838)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (16839)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)
% 0.58/0.75 % (16841)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)
% 0.58/0.75 % (16843)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)
% 0.58/0.75 % (16840)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)
% 0.58/0.75 % (16841)Refutation not found, incomplete strategy% (16841)------------------------------
% 0.58/0.75 % (16841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (16841)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (16841)Memory used [KB]: 1062
% 0.58/0.75 % (16841)Time elapsed: 0.004 s
% 0.58/0.75 % (16841)Instructions burned: 3 (million)
% 0.58/0.75 % (16843)Refutation not found, incomplete strategy% (16843)------------------------------
% 0.58/0.75 % (16843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (16843)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (16843)Memory used [KB]: 1052
% 0.58/0.75 % (16843)Time elapsed: 0.003 s
% 0.58/0.75 % (16843)Instructions burned: 3 (million)
% 0.58/0.75 % (16841)------------------------------
% 0.58/0.75 % (16841)------------------------------
% 0.58/0.75 % (16843)------------------------------
% 0.58/0.75 % (16843)------------------------------
% 0.58/0.76 % (16840)Refutation not found, incomplete strategy% (16840)------------------------------
% 0.58/0.76 % (16840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (16840)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (16840)Memory used [KB]: 1138
% 0.58/0.76 % (16840)Time elapsed: 0.004 s
% 0.58/0.76 % (16840)Instructions burned: 5 (million)
% 0.58/0.76 % (16840)------------------------------
% 0.58/0.76 % (16840)------------------------------
% 0.58/0.76 % (16837)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)
% 0.58/0.76 % (16844)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)
% 0.58/0.76 % (16846)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 (2996ds/208Mi)
% 0.58/0.76 % (16845)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 (2996ds/50Mi)
% 0.58/0.77 % (16839)Instruction limit reached!
% 0.58/0.77 % (16839)------------------------------
% 0.58/0.77 % (16839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (16839)Termination reason: Unknown
% 0.58/0.77 % (16839)Termination phase: Saturation
% 0.58/0.77
% 0.58/0.77 % (16839)Memory used [KB]: 1387
% 0.58/0.77 % (16839)Time elapsed: 0.017 s
% 0.58/0.77 % (16839)Instructions burned: 35 (million)
% 0.58/0.77 % (16839)------------------------------
% 0.58/0.77 % (16839)------------------------------
% 0.58/0.77 % (16836)Instruction limit reached!
% 0.58/0.77 % (16836)------------------------------
% 0.58/0.77 % (16836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (16836)Termination reason: Unknown
% 0.58/0.77 % (16836)Termination phase: Saturation
% 0.58/0.77
% 0.58/0.77 % (16836)Memory used [KB]: 1283
% 0.58/0.77 % (16836)Time elapsed: 0.020 s
% 0.58/0.77 % (16836)Instructions burned: 34 (million)
% 0.58/0.77 % (16836)------------------------------
% 0.58/0.77 % (16836)------------------------------
% 0.58/0.77 % (16847)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 (2996ds/52Mi)
% 0.58/0.77 % (16848)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 (2996ds/518Mi)
% 0.58/0.78 % (16848)Refutation not found, incomplete strategy% (16848)------------------------------
% 0.58/0.78 % (16848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (16848)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78 % (16842)Instruction limit reached!
% 0.58/0.78 % (16842)------------------------------
% 0.58/0.78 % (16842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (16842)Termination reason: Unknown
% 0.58/0.78 % (16842)Termination phase: Saturation
% 0.58/0.78
% 0.58/0.78 % (16842)Memory used [KB]: 2359
% 0.58/0.78 % (16842)Time elapsed: 0.031 s
% 0.58/0.78 % (16842)Instructions burned: 83 (million)
% 0.58/0.78 % (16842)------------------------------
% 0.58/0.78 % (16842)------------------------------
% 0.58/0.78
% 0.58/0.78 % (16848)Memory used [KB]: 1166
% 0.58/0.78 % (16848)Time elapsed: 0.007 s
% 0.58/0.78 % (16848)Instructions burned: 9 (million)
% 0.58/0.78 % (16848)------------------------------
% 0.58/0.78 % (16848)------------------------------
% 0.58/0.78 % (16849)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 (2996ds/42Mi)
% 0.58/0.78 % (16837)Instruction limit reached!
% 0.58/0.78 % (16837)------------------------------
% 0.58/0.78 % (16837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (16837)Termination reason: Unknown
% 0.58/0.78 % (16837)Termination phase: Saturation
% 0.58/0.78
% 0.58/0.78 % (16837)Memory used [KB]: 1604
% 0.58/0.78 % (16837)Time elapsed: 0.030 s
% 0.58/0.78 % (16837)Instructions burned: 52 (million)
% 0.58/0.78 % (16837)------------------------------
% 0.58/0.78 % (16837)------------------------------
% 0.58/0.79 % (16844)Instruction limit reached!
% 0.58/0.79 % (16844)------------------------------
% 0.58/0.79 % (16844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (16844)Termination reason: Unknown
% 0.58/0.79 % (16844)Termination phase: Saturation
% 0.58/0.79
% 0.58/0.79 % (16844)Memory used [KB]: 1833
% 0.58/0.79 % (16844)Time elapsed: 0.032 s
% 0.58/0.79 % (16844)Instructions burned: 55 (million)
% 0.58/0.79 % (16844)------------------------------
% 0.58/0.79 % (16844)------------------------------
% 0.58/0.79 % (16845)Instruction limit reached!
% 0.58/0.79 % (16845)------------------------------
% 0.58/0.79 % (16845)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (16845)Termination reason: Unknown
% 0.58/0.79 % (16845)Termination phase: Saturation
% 0.58/0.79
% 0.58/0.79 % (16845)Memory used [KB]: 1469
% 0.58/0.79 % (16845)Time elapsed: 0.030 s
% 0.58/0.79 % (16845)Instructions burned: 50 (million)
% 0.58/0.79 % (16845)------------------------------
% 0.58/0.79 % (16845)------------------------------
% 0.58/0.79 % (16851)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)
% 0.58/0.79 % (16850)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 (2996ds/243Mi)
% 0.58/0.79 % (16852)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)
% 0.80/0.79 % (16853)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)
% 0.80/0.80 % (16847)First to succeed.
% 0.80/0.80 % (16849)Instruction limit reached!
% 0.80/0.80 % (16849)------------------------------
% 0.80/0.80 % (16849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.80 % (16849)Termination reason: Unknown
% 0.80/0.80 % (16849)Termination phase: Saturation
% 0.80/0.80
% 0.80/0.80 % (16849)Memory used [KB]: 1612
% 0.80/0.80 % (16847)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16832"
% 0.80/0.80 % (16849)Time elapsed: 0.016 s
% 0.80/0.80 % (16849)Instructions burned: 44 (million)
% 0.80/0.80 % (16849)------------------------------
% 0.80/0.80 % (16849)------------------------------
% 0.80/0.80 % (16847)Refutation found. Thanks to Tanya!
% 0.80/0.80 % SZS status Theorem for Vampire---4
% 0.80/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.80/0.80 % (16847)------------------------------
% 0.80/0.80 % (16847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.80 % (16847)Termination reason: Refutation
% 0.80/0.80
% 0.80/0.80 % (16847)Memory used [KB]: 1377
% 0.80/0.80 % (16847)Time elapsed: 0.028 s
% 0.80/0.80 % (16847)Instructions burned: 40 (million)
% 0.80/0.80 % (16832)Success in time 0.413 s
% 0.80/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------