TSTP Solution File: NUM397+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM397+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 : n029.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 : Wed May 1 03:30:44 EDT 2024
% Result : Theorem 0.94s 0.85s
% Output : Refutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 120 ( 5 unt; 0 def)
% Number of atoms : 302 ( 11 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 302 ( 120 ~; 146 |; 12 &)
% ( 13 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 129 ( 127 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f906,plain,
$false,
inference(avatar_sat_refutation,[],[f272,f607,f846,f858,f895]) ).
fof(f895,plain,
( spl21_2
| spl21_8 ),
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f894,plain,
( $false
| spl21_2
| spl21_8 ),
inference(subsumption_resolution,[],[f888,f744]) ).
fof(f744,plain,
( ordinal(sK4(sK19,sK2(union(sK19))))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f163,f627,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ordinal(X0)
| in(X0,X1)
| ~ ordinal(X1) ),
inference(consistent_polarity_flipping,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ~ ordinal(X1)
| ~ in(X0,X1)
| ordinal(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',t23_ordinal1) ).
fof(f627,plain,
( ~ in(sK4(sK19,sK2(union(sK19))),sK19)
| spl21_2 ),
inference(unit_resulting_resolution,[],[f616,f202]) ).
fof(f202,plain,
! [X2,X0] :
( in(X2,union(X0))
| ~ in(sK4(X0,X2),X0) ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f174,plain,
! [X2,X0] :
( in(sK4(X0,X2),X0)
| ~ in(X2,union(X0)) ),
inference(equality_resolution,[],[f114]) ).
fof(f114,plain,
! [X2,X0,X1] :
( in(sK4(X0,X2),X0)
| ~ in(X2,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( union(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',d4_tarski) ).
fof(f616,plain,
( ~ in(sK2(union(sK19)),union(sK19))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f270,f198]) ).
fof(f198,plain,
! [X0] :
( epsilon_connected(X0)
| ~ in(sK2(X0),X0) ),
inference(consistent_polarity_flipping,[],[f103]) ).
fof(f103,plain,
! [X0] :
( in(sK2(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( in(X2,X1)
| X1 = X2
| in(X1,X2)
| ~ in(X2,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
~ ( ~ in(X2,X1)
& X1 != X2
& ~ in(X1,X2)
& in(X2,X0)
& in(X1,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',d3_ordinal1) ).
fof(f270,plain,
( ~ epsilon_connected(union(sK19))
| spl21_2 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl21_2
<=> epsilon_connected(union(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f163,plain,
ordinal(sK19),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
? [X0] :
( ~ ordinal(union(X0))
& ordinal(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ordinal(union(X0)) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X0] :
( ordinal(X0)
=> ordinal(union(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',t30_ordinal1) ).
fof(f888,plain,
( ~ ordinal(sK4(sK19,sK2(union(sK19))))
| spl21_2
| spl21_8 ),
inference(unit_resulting_resolution,[],[f626,f689,f229]) ).
fof(f689,plain,
( ~ ordinal(sK2(union(sK19)))
| spl21_8 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f687,plain,
( spl21_8
<=> ordinal(sK2(union(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f626,plain,
( ~ in(sK2(union(sK19)),sK4(sK19,sK2(union(sK19))))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f616,f203]) ).
fof(f203,plain,
! [X2,X0] :
( in(X2,union(X0))
| ~ in(X2,sK4(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f175,plain,
! [X2,X0] :
( in(X2,sK4(X0,X2))
| ~ in(X2,union(X0)) ),
inference(equality_resolution,[],[f113]) ).
fof(f113,plain,
! [X2,X0,X1] :
( in(X2,sK4(X0,X2))
| ~ in(X2,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f858,plain,
( ~ spl21_8
| ~ spl21_7
| spl21_2 ),
inference(avatar_split_clause,[],[f857,f268,f683,f687]) ).
fof(f683,plain,
( spl21_7
<=> ordinal(sK1(union(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
fof(f857,plain,
( ~ ordinal(sK1(union(sK19)))
| ~ ordinal(sK2(union(sK19)))
| spl21_2 ),
inference(subsumption_resolution,[],[f856,f615]) ).
fof(f615,plain,
( in(sK1(union(sK19)),sK2(union(sK19)))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f270,f197]) ).
fof(f197,plain,
! [X0] :
( epsilon_connected(X0)
| in(sK1(X0),sK2(X0)) ),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ in(sK1(X0),sK2(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f856,plain,
( ~ ordinal(sK1(union(sK19)))
| ~ ordinal(sK2(union(sK19)))
| ~ in(sK1(union(sK19)),sK2(union(sK19)))
| spl21_2 ),
inference(subsumption_resolution,[],[f790,f614]) ).
fof(f614,plain,
( in(sK2(union(sK19)),sK1(union(sK19)))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f270,f196]) ).
fof(f196,plain,
! [X0] :
( epsilon_connected(X0)
| in(sK2(X0),sK1(X0)) ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ~ in(sK2(X0),sK1(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f790,plain,
( ~ ordinal(sK1(union(sK19)))
| ~ in(sK2(union(sK19)),sK1(union(sK19)))
| ~ ordinal(sK2(union(sK19)))
| ~ in(sK1(union(sK19)),sK2(union(sK19)))
| spl21_2 ),
inference(resolution,[],[f676,f230]) ).
fof(f230,plain,
! [X0,X1] :
( sQ20_eqProxy(X0,X1)
| ~ ordinal(X1)
| ~ in(X0,X1)
| ~ ordinal(X0)
| ~ in(X1,X0) ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( ~ ordinal(X0)
| ~ ordinal(X1)
| in(X0,X1)
| sQ20_eqProxy(X0,X1)
| in(X1,X0) ),
inference(equality_proxy_replacement,[],[f161,f176]) ).
fof(f176,plain,
! [X0,X1] :
( sQ20_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ20_eqProxy])]) ).
fof(f161,plain,
! [X0,X1] :
( ~ ordinal(X0)
| ~ ordinal(X1)
| in(X0,X1)
| X0 = X1
| in(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( in(X1,X0)
| X0 = X1
| in(X0,X1)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( in(X1,X0)
| X0 = X1
| in(X0,X1)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X1,X0)
& X0 != X1
& ~ in(X0,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',t24_ordinal1) ).
fof(f676,plain,
( ~ sQ20_eqProxy(sK2(union(sK19)),sK1(union(sK19)))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f612,f186]) ).
fof(f186,plain,
! [X0,X1] :
( sQ20_eqProxy(X1,X0)
| ~ sQ20_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f176]) ).
fof(f612,plain,
( ~ sQ20_eqProxy(sK1(union(sK19)),sK2(union(sK19)))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f270,f177]) ).
fof(f177,plain,
! [X0] :
( epsilon_connected(X0)
| ~ sQ20_eqProxy(sK1(X0),sK2(X0)) ),
inference(equality_proxy_replacement,[],[f105,f176]) ).
fof(f105,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f846,plain,
( spl21_2
| spl21_7 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f845,plain,
( $false
| spl21_2
| spl21_7 ),
inference(subsumption_resolution,[],[f827,f768]) ).
fof(f768,plain,
( ordinal(sK4(sK19,sK1(union(sK19))))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f163,f652,f229]) ).
fof(f652,plain,
( ~ in(sK4(sK19,sK1(union(sK19))),sK19)
| spl21_2 ),
inference(unit_resulting_resolution,[],[f617,f202]) ).
fof(f617,plain,
( ~ in(sK1(union(sK19)),union(sK19))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f270,f199]) ).
fof(f199,plain,
! [X0] :
( epsilon_connected(X0)
| ~ in(sK1(X0),X0) ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f102,plain,
! [X0] :
( in(sK1(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f827,plain,
( ~ ordinal(sK4(sK19,sK1(union(sK19))))
| spl21_2
| spl21_7 ),
inference(unit_resulting_resolution,[],[f685,f651,f229]) ).
fof(f651,plain,
( ~ in(sK1(union(sK19)),sK4(sK19,sK1(union(sK19))))
| spl21_2 ),
inference(unit_resulting_resolution,[],[f617,f203]) ).
fof(f685,plain,
( ~ ordinal(sK1(union(sK19)))
| spl21_7 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f607,plain,
spl21_1,
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| spl21_1 ),
inference(subsumption_resolution,[],[f598,f462]) ).
fof(f462,plain,
( ~ element(sK4(sK19,sK0(union(sK19))),powerset(sK19))
| spl21_1 ),
inference(unit_resulting_resolution,[],[f354,f233]) ).
fof(f233,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',t3_subset) ).
fof(f354,plain,
( ~ subset(sK4(sK19,sK0(union(sK19))),sK19)
| spl21_1 ),
inference(subsumption_resolution,[],[f348,f242]) ).
fof(f242,plain,
epsilon_transitive(sK19),
inference(unit_resulting_resolution,[],[f163,f107]) ).
fof(f107,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ordinal(X0)
<=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',d4_ordinal1) ).
fof(f348,plain,
( ~ subset(sK4(sK19,sK0(union(sK19))),sK19)
| ~ epsilon_transitive(sK19)
| spl21_1 ),
inference(resolution,[],[f284,f195]) ).
fof(f195,plain,
! [X0,X1] :
( in(X1,X0)
| ~ subset(X1,X0)
| ~ epsilon_transitive(X0) ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ in(X1,X0)
| subset(X1,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',d2_ordinal1) ).
fof(f284,plain,
( ~ in(sK4(sK19,sK0(union(sK19))),sK19)
| spl21_1 ),
inference(unit_resulting_resolution,[],[f274,f202]) ).
fof(f274,plain,
( ~ in(sK0(union(sK19)),union(sK19))
| spl21_1 ),
inference(unit_resulting_resolution,[],[f266,f194]) ).
fof(f194,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ in(sK0(X0),X0) ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f99,plain,
! [X0] :
( in(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f266,plain,
( ~ epsilon_transitive(union(sK19))
| spl21_1 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl21_1
<=> epsilon_transitive(union(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f598,plain,
( element(sK4(sK19,sK0(union(sK19))),powerset(sK19))
| spl21_1 ),
inference(unit_resulting_resolution,[],[f395,f384]) ).
fof(f384,plain,
( ! [X0] :
( element(sK4(sK19,sK0(union(sK19))),powerset(X0))
| ~ element(sK0(union(sK19)),X0) )
| spl21_1 ),
inference(resolution,[],[f283,f234]) ).
fof(f234,plain,
! [X2,X0,X1] :
( in(X0,X1)
| element(X1,powerset(X2))
| ~ element(X0,X2) ),
inference(consistent_polarity_flipping,[],[f167]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| element(X0,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',t4_subset) ).
fof(f283,plain,
( ~ in(sK0(union(sK19)),sK4(sK19,sK0(union(sK19))))
| spl21_1 ),
inference(unit_resulting_resolution,[],[f274,f203]) ).
fof(f395,plain,
( element(sK0(union(sK19)),sK19)
| spl21_1 ),
inference(unit_resulting_resolution,[],[f312,f345,f231]) ).
fof(f231,plain,
! [X0,X1] :
( element(X0,X1)
| ~ empty(X1)
| ~ in(X0,X1) ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',t2_subset) ).
fof(f345,plain,
( empty(sK19)
| spl21_1 ),
inference(unit_resulting_resolution,[],[f284,f237]) ).
fof(f237,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1) ),
inference(consistent_polarity_flipping,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',t7_boole) ).
fof(f312,plain,
( in(sK0(union(sK19)),sK19)
| spl21_1 ),
inference(unit_resulting_resolution,[],[f275,f239]) ).
fof(f239,plain,
! [X0,X1] :
( in(X0,X1)
| ~ subset(X0,union(X1)) ),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(X0,union(X1)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',t92_zfmisc_1) ).
fof(f275,plain,
( subset(sK0(union(sK19)),union(sK19))
| spl21_1 ),
inference(unit_resulting_resolution,[],[f266,f193]) ).
fof(f193,plain,
! [X0] :
( epsilon_transitive(X0)
| subset(sK0(X0),X0) ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ subset(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f272,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f262,f268,f264]) ).
fof(f262,plain,
( ~ epsilon_connected(union(sK19))
| ~ epsilon_transitive(union(sK19)) ),
inference(resolution,[],[f164,f93]) ).
fof(f93,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
=> ordinal(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lwnYbaCuMc/Vampire---4.8_17680',cc2_ordinal1) ).
fof(f164,plain,
~ ordinal(union(sK19)),
inference(cnf_transformation,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : NUM397+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % 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 : n029.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 : Tue Apr 30 17:09:20 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.lwnYbaCuMc/Vampire---4.8_17680
% 0.57/0.75 % (17944)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)
% 0.57/0.75 % (17945)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)
% 0.57/0.75 % (17940)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (17941)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)
% 0.57/0.75 % (17938)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)
% 0.57/0.75 % (17942)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)
% 0.57/0.75 % (17943)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)
% 0.57/0.75 % (17939)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)
% 0.57/0.75 % (17941)Refutation not found, incomplete strategy% (17941)------------------------------
% 0.57/0.75 % (17941)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (17941)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (17941)Memory used [KB]: 1040
% 0.57/0.75 % (17941)Time elapsed: 0.003 s
% 0.57/0.75 % (17941)Instructions burned: 2 (million)
% 0.57/0.75 % (17941)------------------------------
% 0.57/0.75 % (17941)------------------------------
% 0.57/0.75 % (17943)Refutation not found, incomplete strategy% (17943)------------------------------
% 0.57/0.75 % (17943)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (17943)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (17943)Memory used [KB]: 1038
% 0.57/0.75 % (17943)Time elapsed: 0.003 s
% 0.57/0.75 % (17943)Instructions burned: 3 (million)
% 0.57/0.75 % (17943)------------------------------
% 0.57/0.75 % (17943)------------------------------
% 0.57/0.75 % (17942)Refutation not found, incomplete strategy% (17942)------------------------------
% 0.57/0.75 % (17942)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (17942)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (17942)Memory used [KB]: 1114
% 0.57/0.75 % (17942)Time elapsed: 0.004 s
% 0.57/0.75 % (17942)Instructions burned: 4 (million)
% 0.57/0.75 % (17942)------------------------------
% 0.57/0.75 % (17942)------------------------------
% 0.61/0.76 % (17946)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)
% 0.61/0.76 % (17948)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)
% 0.61/0.76 % (17947)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)
% 0.61/0.77 % (17938)Instruction limit reached!
% 0.61/0.77 % (17938)------------------------------
% 0.61/0.77 % (17938)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (17938)Termination reason: Unknown
% 0.61/0.77 % (17938)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (17938)Memory used [KB]: 1240
% 0.61/0.77 % (17938)Time elapsed: 0.022 s
% 0.61/0.77 % (17938)Instructions burned: 34 (million)
% 0.61/0.77 % (17938)------------------------------
% 0.61/0.77 % (17938)------------------------------
% 0.61/0.77 % (17949)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)
% 0.61/0.77 % (17944)Instruction limit reached!
% 0.61/0.77 % (17944)------------------------------
% 0.61/0.77 % (17944)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (17944)Termination reason: Unknown
% 0.61/0.77 % (17944)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (17944)Memory used [KB]: 1712
% 0.61/0.77 % (17944)Time elapsed: 0.028 s
% 0.61/0.77 % (17944)Instructions burned: 84 (million)
% 0.61/0.77 % (17944)------------------------------
% 0.61/0.77 % (17944)------------------------------
% 0.61/0.77 % (17945)Instruction limit reached!
% 0.61/0.77 % (17945)------------------------------
% 0.61/0.77 % (17945)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (17945)Termination reason: Unknown
% 0.61/0.77 % (17945)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (17945)Memory used [KB]: 1224
% 0.61/0.77 % (17945)Time elapsed: 0.031 s
% 0.61/0.77 % (17945)Instructions burned: 56 (million)
% 0.61/0.77 % (17945)------------------------------
% 0.61/0.77 % (17945)------------------------------
% 0.61/0.78 % (17950)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)
% 0.61/0.78 % (17950)Refutation not found, incomplete strategy% (17950)------------------------------
% 0.61/0.78 % (17950)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (17950)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (17950)Memory used [KB]: 1115
% 0.61/0.78 % (17950)Time elapsed: 0.002 s
% 0.61/0.78 % (17950)Instructions burned: 5 (million)
% 0.61/0.78 % (17950)------------------------------
% 0.61/0.78 % (17950)------------------------------
% 0.61/0.78 % (17939)Instruction limit reached!
% 0.61/0.78 % (17939)------------------------------
% 0.61/0.78 % (17939)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (17939)Termination reason: Unknown
% 0.61/0.78 % (17939)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (17939)Memory used [KB]: 1530
% 0.61/0.78 % (17939)Time elapsed: 0.034 s
% 0.61/0.78 % (17939)Instructions burned: 51 (million)
% 0.61/0.78 % (17939)------------------------------
% 0.61/0.78 % (17939)------------------------------
% 0.61/0.78 % (17951)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)
% 0.61/0.78 % (17952)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)
% 0.61/0.78 % (17953)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)
% 0.61/0.79 % (17947)Instruction limit reached!
% 0.61/0.79 % (17947)------------------------------
% 0.61/0.79 % (17947)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (17947)Termination reason: Unknown
% 0.61/0.79 % (17947)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (17947)Memory used [KB]: 1509
% 0.61/0.79 % (17947)Time elapsed: 0.051 s
% 0.61/0.79 % (17947)Instructions burned: 51 (million)
% 0.61/0.79 % (17947)------------------------------
% 0.61/0.79 % (17947)------------------------------
% 0.61/0.79 % (17946)Instruction limit reached!
% 0.61/0.79 % (17946)------------------------------
% 0.61/0.79 % (17946)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (17946)Termination reason: Unknown
% 0.61/0.79 % (17946)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (17946)Memory used [KB]: 1635
% 0.61/0.79 % (17946)Time elapsed: 0.053 s
% 0.61/0.79 % (17946)Instructions burned: 55 (million)
% 0.61/0.79 % (17946)------------------------------
% 0.61/0.79 % (17946)------------------------------
% 0.61/0.79 % (17954)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)
% 0.61/0.79 % (17940)Instruction limit reached!
% 0.61/0.79 % (17940)------------------------------
% 0.61/0.79 % (17940)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (17940)Termination reason: Unknown
% 0.61/0.79 % (17940)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (17940)Memory used [KB]: 1659
% 0.61/0.79 % (17940)Time elapsed: 0.049 s
% 0.61/0.79 % (17940)Instructions burned: 78 (million)
% 0.61/0.79 % (17940)------------------------------
% 0.61/0.79 % (17940)------------------------------
% 0.61/0.80 % (17955)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)
% 0.61/0.80 % (17956)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)
% 0.61/0.80 % (17949)Instruction limit reached!
% 0.61/0.80 % (17949)------------------------------
% 0.61/0.80 % (17949)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (17949)Termination reason: Unknown
% 0.61/0.80 % (17949)Termination phase: Saturation
% 0.61/0.80
% 0.61/0.80 % (17949)Memory used [KB]: 1539
% 0.61/0.80 % (17949)Time elapsed: 0.056 s
% 0.61/0.80 % (17949)Instructions burned: 52 (million)
% 0.61/0.80 % (17949)------------------------------
% 0.61/0.80 % (17949)------------------------------
% 0.61/0.81 % (17951)Instruction limit reached!
% 0.61/0.81 % (17951)------------------------------
% 0.61/0.81 % (17951)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (17951)Termination reason: Unknown
% 0.61/0.81 % (17951)Termination phase: Saturation
% 0.61/0.81
% 0.61/0.81 % (17951)Memory used [KB]: 1839
% 0.61/0.81 % (17951)Time elapsed: 0.053 s
% 0.61/0.81 % (17951)Instructions burned: 43 (million)
% 0.61/0.81 % (17951)------------------------------
% 0.61/0.81 % (17951)------------------------------
% 0.61/0.81 % (17957)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)
% 0.61/0.81 % (17958)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)
% 0.61/0.83 % (17957)Instruction limit reached!
% 0.61/0.83 % (17957)------------------------------
% 0.61/0.83 % (17957)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (17957)Termination reason: Unknown
% 0.61/0.83 % (17957)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (17957)Memory used [KB]: 1329
% 0.61/0.83 % (17957)Time elapsed: 0.021 s
% 0.61/0.83 % (17957)Instructions burned: 34 (million)
% 0.61/0.83 % (17957)------------------------------
% 0.61/0.83 % (17957)------------------------------
% 0.61/0.83 % (17959)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.94/0.84 % (17956)Instruction limit reached!
% 0.94/0.84 % (17956)------------------------------
% 0.94/0.84 % (17956)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.94/0.84 % (17956)Termination reason: Unknown
% 0.94/0.84 % (17956)Termination phase: Saturation
% 0.94/0.84
% 0.94/0.84 % (17956)Memory used [KB]: 2014
% 0.94/0.84 % (17956)Time elapsed: 0.039 s
% 0.94/0.84 % (17956)Instructions burned: 63 (million)
% 0.94/0.84 % (17956)------------------------------
% 0.94/0.84 % (17956)------------------------------
% 0.94/0.84 % (17960)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.94/0.84 % (17959)First to succeed.
% 0.94/0.85 % (17959)Refutation found. Thanks to Tanya!
% 0.94/0.85 % SZS status Theorem for Vampire---4
% 0.94/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.94/0.85 % (17959)------------------------------
% 0.94/0.85 % (17959)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.94/0.85 % (17959)Termination reason: Refutation
% 0.94/0.85
% 0.94/0.85 % (17959)Memory used [KB]: 1243
% 0.94/0.85 % (17959)Time elapsed: 0.016 s
% 0.94/0.85 % (17959)Instructions burned: 23 (million)
% 0.94/0.85 % (17959)------------------------------
% 0.94/0.85 % (17959)------------------------------
% 0.94/0.85 % (17934)Success in time 0.485 s
% 0.94/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------