TSTP Solution File: NUM402+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM402+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 03:30:45 EDT 2024
% Result : Theorem 0.93s 0.88s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 24
% Syntax : Number of formulae : 121 ( 2 unt; 1 typ; 0 def)
% Number of atoms : 632 ( 12 equ)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 328 ( 131 ~; 152 |; 11 &)
% ( 22 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 315 ( 315 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 28 ( 26 usr; 15 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 103 ( 100 !; 2 ?; 60 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_13,type,
sQ22_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f1213,plain,
$false,
inference(avatar_sat_refutation,[],[f403,f410,f414,f521,f532,f542,f552,f689,f846,f862,f865,f1037,f1204,f1210]) ).
tff(f1210,plain,
( spl23_8
| ~ spl23_69 ),
inference(avatar_contradiction_clause,[],[f1209]) ).
tff(f1209,plain,
( $false
| spl23_8
| ~ spl23_69 ),
inference(subsumption_resolution,[],[f1205,f814]) ).
tff(f814,plain,
( ~ epsilon_transitive(union(sK21))
| spl23_8 ),
inference(avatar_component_clause,[],[f398]) ).
tff(f398,plain,
( spl23_8
<=> epsilon_transitive(union(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
tff(f1205,plain,
( epsilon_transitive(union(sK21))
| ~ spl23_69 ),
inference(resolution,[],[f1033,f93]) ).
tff(f93,plain,
! [X0: $i] :
( ~ subset(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f64]) ).
tff(f64,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yPaLpi7Tfj/Vampire---4.8_6539',d2_ordinal1) ).
tff(f1033,plain,
( subset(sK0(union(sK21)),union(sK21))
| ~ spl23_69 ),
inference(avatar_component_clause,[],[f1032]) ).
tff(f1032,plain,
( spl23_69
<=> subset(sK0(union(sK21)),union(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_69])]) ).
tff(f1204,plain,
( ~ spl23_16
| spl23_70 ),
inference(avatar_split_clause,[],[f1203,f1035,f508]) ).
tff(f508,plain,
( spl23_16
<=> in(sK0(union(sK21)),union(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
tff(f1035,plain,
( spl23_70
<=> in(sK5(sK21,sK0(union(sK21))),sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_70])]) ).
tff(f1203,plain,
( ~ in(sK0(union(sK21)),union(sK21))
| spl23_70 ),
inference(resolution,[],[f1036,f173]) ).
tff(f173,plain,
! [X2: $i,X0: $i] :
( in(sK5(X0,X2),X0)
| ~ in(X2,union(X0)) ),
inference(equality_resolution,[],[f110]) ).
tff(f110,plain,
! [X2: $i,X0: $i,X1: $i] :
( in(sK5(X0,X2),X0)
| ~ in(X2,X1)
| ( union(X0) != X1 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,axiom,
! [X0,X1] :
( ( union(X0) = X1 )
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yPaLpi7Tfj/Vampire---4.8_6539',d4_tarski) ).
tff(f1036,plain,
( ~ in(sK5(sK21,sK0(union(sK21))),sK21)
| spl23_70 ),
inference(avatar_component_clause,[],[f1035]) ).
tff(f1037,plain,
( spl23_69
| ~ spl23_70
| spl23_8
| ~ spl23_34 ),
inference(avatar_split_clause,[],[f1025,f687,f398,f1035,f1032]) ).
tff(f687,plain,
( spl23_34
<=> subset(sK0(union(sK21)),sK5(sK21,sK0(union(sK21)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_34])]) ).
tff(f1025,plain,
( ~ in(sK5(sK21,sK0(union(sK21))),sK21)
| subset(sK0(union(sK21)),union(sK21))
| spl23_8
| ~ spl23_34 ),
inference(resolution,[],[f937,f307]) ).
tff(f307,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ in(sK3(X2,union(X1)),X0)
| ~ in(X0,X1)
| subset(X2,union(X1)) ),
inference(resolution,[],[f172,f102]) ).
tff(f102,plain,
! [X0: $i,X1: $i] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
tff(f66,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yPaLpi7Tfj/Vampire---4.8_6539',d3_tarski) ).
tff(f172,plain,
! [X2: $i,X3: $i,X0: $i] :
( in(X2,union(X0))
| ~ in(X3,X0)
| ~ in(X2,X3) ),
inference(equality_resolution,[],[f111]) ).
tff(f111,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ in(X2,X3)
| ~ in(X3,X0)
| in(X2,X1)
| ( union(X0) != X1 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f937,plain,
( in(sK3(sK0(union(sK21)),union(sK21)),sK5(sK21,sK0(union(sK21))))
| spl23_8
| ~ spl23_34 ),
inference(subsumption_resolution,[],[f933,f814]) ).
tff(f933,plain,
( in(sK3(sK0(union(sK21)),union(sK21)),sK5(sK21,sK0(union(sK21))))
| epsilon_transitive(union(sK21))
| ~ spl23_34 ),
inference(resolution,[],[f898,f93]) ).
tff(f898,plain,
( ! [X0: $i] :
( subset(sK0(union(sK21)),X0)
| in(sK3(sK0(union(sK21)),X0),sK5(sK21,sK0(union(sK21)))) )
| ~ spl23_34 ),
inference(resolution,[],[f872,f101]) ).
tff(f101,plain,
! [X0: $i,X1: $i] :
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
tff(f872,plain,
( ! [X0: $i] :
( ~ in(X0,sK0(union(sK21)))
| in(X0,sK5(sK21,sK0(union(sK21)))) )
| ~ spl23_34 ),
inference(resolution,[],[f688,f100]) ).
tff(f100,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ subset(X0,X1)
| in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f66]) ).
tff(f688,plain,
( subset(sK0(union(sK21)),sK5(sK21,sK0(union(sK21))))
| ~ spl23_34 ),
inference(avatar_component_clause,[],[f687]) ).
tff(f865,plain,
( ~ spl23_8
| ~ spl23_10 ),
inference(avatar_split_clause,[],[f864,f405,f398]) ).
tff(f405,plain,
( spl23_10
<=> epsilon_connected(union(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
tff(f864,plain,
( ~ epsilon_transitive(union(sK21))
| ~ spl23_10 ),
inference(subsumption_resolution,[],[f863,f164]) ).
tff(f164,plain,
~ ordinal(union(sK21)),
inference(cnf_transformation,[],[f75]) ).
tff(f75,plain,
? [X0] :
( ~ ordinal(union(X0))
& ! [X1] :
( ordinal(X1)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f38]) ).
tff(f38,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( in(X1,X0)
=> ordinal(X1) )
=> ordinal(union(X0)) ),
inference(negated_conjecture,[],[f37]) ).
tff(f37,conjecture,
! [X0] :
( ! [X1] :
( in(X1,X0)
=> ordinal(X1) )
=> ordinal(union(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.yPaLpi7Tfj/Vampire---4.8_6539',t35_ordinal1) ).
tff(f863,plain,
( ~ epsilon_transitive(union(sK21))
| ordinal(union(sK21))
| ~ spl23_10 ),
inference(resolution,[],[f406,f87]) ).
tff(f87,plain,
! [X0: $i] :
( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f61]) ).
tff(f61,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,axiom,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
=> ordinal(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.yPaLpi7Tfj/Vampire---4.8_6539',cc2_ordinal1) ).
tff(f406,plain,
( epsilon_connected(union(sK21))
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f405]) ).
tff(f862,plain,
( spl23_10
| ~ spl23_19
| ~ spl23_21 ),
inference(avatar_split_clause,[],[f861,f537,f527,f405]) ).
tff(f527,plain,
( spl23_19
<=> ordinal(sK1(union(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
tff(f537,plain,
( spl23_21
<=> ordinal(sK2(union(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_21])]) ).
tff(f861,plain,
( epsilon_connected(union(sK21))
| ~ spl23_19
| ~ spl23_21 ),
inference(subsumption_resolution,[],[f858,f528]) ).
tff(f528,plain,
( ordinal(sK1(union(sK21)))
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f527]) ).
tff(f858,plain,
( ~ ordinal(sK1(union(sK21)))
| epsilon_connected(union(sK21))
| ~ spl23_21 ),
inference(resolution,[],[f538,f311]) ).
tff(f311,plain,
! [X0: $i] :
( ~ ordinal(sK2(X0))
| ~ ordinal(sK1(X0))
| epsilon_connected(X0) ),
inference(subsumption_resolution,[],[f310,f99]) ).
tff(f99,plain,
! [X0: $i] :
( ~ in(sK2(X0),sK1(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f65]) ).
tff(f65,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( in(X2,X1)
| ( X1 = X2 )
| in(X1,X2)
| ~ in(X2,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
~ ( ~ in(X2,X1)
& ( X1 != X2 )
& ~ in(X1,X2)
& in(X2,X0)
& in(X1,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yPaLpi7Tfj/Vampire---4.8_6539',d3_ordinal1) ).
tff(f310,plain,
! [X0: $i] :
( ~ ordinal(sK2(X0))
| ~ ordinal(sK1(X0))
| in(sK2(X0),sK1(X0))
| epsilon_connected(X0) ),
inference(subsumption_resolution,[],[f308,f97]) ).
tff(f97,plain,
! [X0: $i] :
( ~ in(sK1(X0),sK2(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f65]) ).
tff(f308,plain,
! [X0: $i] :
( ~ ordinal(sK2(X0))
| in(sK1(X0),sK2(X0))
| ~ ordinal(sK1(X0))
| in(sK2(X0),sK1(X0))
| epsilon_connected(X0) ),
inference(resolution,[],[f181,f176]) ).
tff(f176,plain,
! [X0: $i] :
( ~ sQ22_eqProxy($i,sK1(X0),sK2(X0))
| epsilon_connected(X0) ),
inference(equality_proxy_replacement,[],[f98,f175]) ).
tff(f175,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ22_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ22_eqProxy])]) ).
tff(f98,plain,
! [X0: $i] :
( ( sK1(X0) != sK2(X0) )
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f65]) ).
tff(f181,plain,
! [X0: $i,X1: $i] :
( sQ22_eqProxy($i,X0,X1)
| ~ ordinal(X1)
| in(X0,X1)
| ~ ordinal(X0)
| in(X1,X0) ),
inference(equality_proxy_replacement,[],[f161,f175]) ).
tff(f161,plain,
! [X0: $i,X1: $i] :
( ~ ordinal(X0)
| ~ ordinal(X1)
| in(X0,X1)
| ( X0 = X1 )
| in(X1,X0) ),
inference(cnf_transformation,[],[f72]) ).
tff(f72,plain,
! [X0] :
( ! [X1] :
( in(X1,X0)
| ( X0 = X1 )
| in(X0,X1)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(flattening,[],[f71]) ).
tff(f71,plain,
! [X0] :
( ! [X1] :
( in(X1,X0)
| ( X0 = X1 )
| in(X0,X1)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f35]) ).
tff(f35,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X1,X0)
& ( X0 != X1 )
& ~ in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yPaLpi7Tfj/Vampire---4.8_6539',t24_ordinal1) ).
tff(f538,plain,
( ordinal(sK2(union(sK21)))
| ~ spl23_21 ),
inference(avatar_component_clause,[],[f537]) ).
tff(f846,plain,
( spl23_10
| spl23_22 ),
inference(avatar_split_clause,[],[f560,f540,f405]) ).
tff(f540,plain,
( spl23_22
<=> in(sK2(union(sK21)),union(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_22])]) ).
tff(f560,plain,
( epsilon_connected(union(sK21))
| spl23_22 ),
inference(resolution,[],[f541,f96]) ).
tff(f96,plain,
! [X0: $i] :
( in(sK2(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f65]) ).
tff(f541,plain,
( ~ in(sK2(union(sK21)),union(sK21))
| spl23_22 ),
inference(avatar_component_clause,[],[f540]) ).
tff(f689,plain,
( ~ spl23_16
| spl23_34
| ~ spl23_9 ),
inference(avatar_split_clause,[],[f682,f401,f687,f508]) ).
tff(f401,plain,
( spl23_9
<=> ordinal(sK5(sK21,sK0(union(sK21)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
tff(f682,plain,
( subset(sK0(union(sK21)),sK5(sK21,sK0(union(sK21))))
| ~ in(sK0(union(sK21)),union(sK21))
| ~ spl23_9 ),
inference(resolution,[],[f295,f436]) ).
tff(f436,plain,
( epsilon_transitive(sK5(sK21,sK0(union(sK21))))
| ~ spl23_9 ),
inference(resolution,[],[f402,f84]) ).
tff(f84,plain,
! [X0: $i] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f57]) ).
tff(f57,plain,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yPaLpi7Tfj/Vampire---4.8_6539',cc1_ordinal1) ).
tff(f402,plain,
( ordinal(sK5(sK21,sK0(union(sK21))))
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f401]) ).
tff(f295,plain,
! [X0: $i,X1: $i] :
( ~ epsilon_transitive(sK5(X1,X0))
| subset(X0,sK5(X1,X0))
| ~ in(X0,union(X1)) ),
inference(resolution,[],[f174,f91]) ).
tff(f91,plain,
! [X0: $i,X1: $i] :
( ~ in(X1,X0)
| subset(X1,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f64]) ).
tff(f174,plain,
! [X2: $i,X0: $i] :
( in(X2,sK5(X0,X2))
| ~ in(X2,union(X0)) ),
inference(equality_resolution,[],[f109]) ).
tff(f109,plain,
! [X2: $i,X0: $i,X1: $i] :
( in(X2,sK5(X0,X2))
| ~ in(X2,X1)
| ( union(X0) != X1 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f552,plain,
( spl23_10
| spl23_20 ),
inference(avatar_split_clause,[],[f551,f530,f405]) ).
tff(f530,plain,
( spl23_20
<=> in(sK1(union(sK21)),union(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).
tff(f551,plain,
( epsilon_connected(union(sK21))
| spl23_20 ),
inference(resolution,[],[f531,f95]) ).
tff(f95,plain,
! [X0: $i] :
( in(sK1(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f65]) ).
tff(f531,plain,
( ~ in(sK1(union(sK21)),union(sK21))
| spl23_20 ),
inference(avatar_component_clause,[],[f530]) ).
tff(f542,plain,
( spl23_21
| ~ spl23_22
| ~ spl23_12 ),
inference(avatar_split_clause,[],[f533,f412,f540,f537]) ).
tff(f412,plain,
( spl23_12
<=> ordinal(sK5(sK21,sK2(union(sK21)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
tff(f533,plain,
( ~ in(sK2(union(sK21)),union(sK21))
| ordinal(sK2(union(sK21)))
| ~ spl23_12 ),
inference(resolution,[],[f413,f296]) ).
tff(f296,plain,
! [X0: $i,X1: $i] :
( ~ ordinal(sK5(X1,X0))
| ~ in(X0,union(X1))
| ordinal(X0) ),
inference(resolution,[],[f174,f160]) ).
tff(f160,plain,
! [X0: $i,X1: $i] :
( ~ in(X0,X1)
| ~ ordinal(X1)
| ordinal(X0) ),
inference(cnf_transformation,[],[f70]) ).
tff(f70,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f69]) ).
tff(f69,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f34]) ).
tff(f34,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yPaLpi7Tfj/Vampire---4.8_6539',t23_ordinal1) ).
tff(f413,plain,
( ordinal(sK5(sK21,sK2(union(sK21))))
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f412]) ).
tff(f532,plain,
( spl23_19
| ~ spl23_20
| ~ spl23_11 ),
inference(avatar_split_clause,[],[f523,f408,f530,f527]) ).
tff(f408,plain,
( spl23_11
<=> ordinal(sK5(sK21,sK1(union(sK21)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
tff(f523,plain,
( ~ in(sK1(union(sK21)),union(sK21))
| ordinal(sK1(union(sK21)))
| ~ spl23_11 ),
inference(resolution,[],[f409,f296]) ).
tff(f409,plain,
( ordinal(sK5(sK21,sK1(union(sK21))))
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f408]) ).
tff(f521,plain,
( ~ spl23_10
| spl23_16 ),
inference(avatar_contradiction_clause,[],[f520]) ).
tff(f520,plain,
( $false
| ~ spl23_10
| spl23_16 ),
inference(subsumption_resolution,[],[f519,f426]) ).
tff(f426,plain,
( ~ epsilon_transitive(union(sK21))
| ~ spl23_10 ),
inference(subsumption_resolution,[],[f422,f164]) ).
tff(f422,plain,
( ~ epsilon_transitive(union(sK21))
| ordinal(union(sK21))
| ~ spl23_10 ),
inference(resolution,[],[f406,f87]) ).
tff(f519,plain,
( epsilon_transitive(union(sK21))
| spl23_16 ),
inference(resolution,[],[f509,f92]) ).
tff(f92,plain,
! [X0: $i] :
( in(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f64]) ).
tff(f509,plain,
( ~ in(sK0(union(sK21)),union(sK21))
| spl23_16 ),
inference(avatar_component_clause,[],[f508]) ).
tff(f414,plain,
( spl23_10
| spl23_12 ),
inference(avatar_split_clause,[],[f393,f412,f405]) ).
tff(f393,plain,
( ordinal(sK5(sK21,sK2(union(sK21))))
| epsilon_connected(union(sK21)) ),
inference(resolution,[],[f289,f96]) ).
tff(f289,plain,
! [X0: $i] :
( ~ in(X0,union(sK21))
| ordinal(sK5(sK21,X0)) ),
inference(resolution,[],[f173,f163]) ).
tff(f163,plain,
! [X1: $i] :
( ~ in(X1,sK21)
| ordinal(X1) ),
inference(cnf_transformation,[],[f75]) ).
tff(f410,plain,
( spl23_10
| spl23_11 ),
inference(avatar_split_clause,[],[f392,f408,f405]) ).
tff(f392,plain,
( ordinal(sK5(sK21,sK1(union(sK21))))
| epsilon_connected(union(sK21)) ),
inference(resolution,[],[f289,f95]) ).
tff(f403,plain,
( spl23_8
| spl23_9 ),
inference(avatar_split_clause,[],[f391,f401,f398]) ).
tff(f391,plain,
( ordinal(sK5(sK21,sK0(union(sK21))))
| epsilon_transitive(union(sK21)) ),
inference(resolution,[],[f289,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM402+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 17:35:41 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.yPaLpi7Tfj/Vampire---4.8_6539
% 0.62/0.81 % (6856)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.81 % (6854)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.81 % (6849)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.81 % (6851)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81 % (6852)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.81 % (6850)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.81 % (6853)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.81 % (6854)Refutation not found, incomplete strategy% (6854)------------------------------
% 0.62/0.81 % (6854)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (6854)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (6854)Memory used [KB]: 1058
% 0.62/0.81 % (6854)Time elapsed: 0.003 s
% 0.62/0.81 % (6854)Instructions burned: 5 (million)
% 0.62/0.81 % (6854)------------------------------
% 0.62/0.81 % (6854)------------------------------
% 0.62/0.81 % (6852)Refutation not found, incomplete strategy% (6852)------------------------------
% 0.62/0.81 % (6852)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (6852)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (6852)Memory used [KB]: 1041
% 0.62/0.81 % (6852)Time elapsed: 0.003 s
% 0.62/0.81 % (6852)Instructions burned: 3 (million)
% 0.62/0.81 % (6852)------------------------------
% 0.62/0.81 % (6852)------------------------------
% 0.62/0.82 % (6853)Refutation not found, incomplete strategy% (6853)------------------------------
% 0.62/0.82 % (6853)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (6853)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (6853)Memory used [KB]: 1149
% 0.62/0.82 % (6853)Time elapsed: 0.005 s
% 0.62/0.82 % (6853)Instructions burned: 6 (million)
% 0.62/0.82 % (6853)------------------------------
% 0.62/0.82 % (6853)------------------------------
% 0.62/0.82 % (6855)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.82 % (6849)Refutation not found, incomplete strategy% (6849)------------------------------
% 0.62/0.82 % (6849)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (6849)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (6849)Memory used [KB]: 1067
% 0.62/0.82 % (6849)Time elapsed: 0.006 s
% 0.62/0.82 % (6849)Instructions burned: 8 (million)
% 0.62/0.82 % (6849)------------------------------
% 0.62/0.82 % (6849)------------------------------
% 0.62/0.82 % (6859)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.82 % (6860)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.82 % (6862)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.82 % (6864)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.83 % (6856)Instruction limit reached!
% 0.62/0.83 % (6856)------------------------------
% 0.62/0.83 % (6856)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (6856)Termination reason: Unknown
% 0.62/0.83 % (6856)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (6856)Memory used [KB]: 1255
% 0.62/0.83 % (6856)Time elapsed: 0.019 s
% 0.62/0.83 % (6856)Instructions burned: 58 (million)
% 0.62/0.83 % (6856)------------------------------
% 0.62/0.83 % (6856)------------------------------
% 0.62/0.83 % (6868)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.71/0.85 % (6850)Instruction limit reached!
% 0.71/0.85 % (6850)------------------------------
% 0.71/0.85 % (6850)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.85 % (6850)Termination reason: Unknown
% 0.71/0.85 % (6850)Termination phase: Saturation
% 0.71/0.85
% 0.71/0.85 % (6850)Memory used [KB]: 1627
% 0.71/0.85 % (6850)Time elapsed: 0.034 s
% 0.71/0.85 % (6850)Instructions burned: 51 (million)
% 0.71/0.85 % (6850)------------------------------
% 0.71/0.85 % (6850)------------------------------
% 0.71/0.85 % (6860)Instruction limit reached!
% 0.71/0.85 % (6860)------------------------------
% 0.71/0.85 % (6860)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.85 % (6860)Termination reason: Unknown
% 0.71/0.85 % (6860)Termination phase: Saturation
% 0.71/0.85
% 0.71/0.85 % (6860)Memory used [KB]: 1466
% 0.71/0.85 % (6860)Time elapsed: 0.030 s
% 0.71/0.85 % (6860)Instructions burned: 50 (million)
% 0.71/0.85 % (6860)------------------------------
% 0.71/0.85 % (6860)------------------------------
% 0.71/0.85 % (6855)Instruction limit reached!
% 0.71/0.85 % (6855)------------------------------
% 0.71/0.85 % (6855)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.85 % (6855)Termination reason: Unknown
% 0.71/0.85 % (6855)Termination phase: Saturation
% 0.71/0.85
% 0.71/0.85 % (6855)Memory used [KB]: 1690
% 0.71/0.85 % (6855)Time elapsed: 0.032 s
% 0.71/0.85 % (6855)Instructions burned: 84 (million)
% 0.71/0.85 % (6855)------------------------------
% 0.71/0.85 % (6855)------------------------------
% 0.71/0.85 % (6859)Instruction limit reached!
% 0.71/0.85 % (6859)------------------------------
% 0.71/0.85 % (6859)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.85 % (6859)Termination reason: Unknown
% 0.71/0.85 % (6859)Termination phase: Saturation
% 0.71/0.85
% 0.71/0.85 % (6859)Memory used [KB]: 1703
% 0.71/0.85 % (6859)Time elapsed: 0.033 s
% 0.71/0.85 % (6859)Instructions burned: 55 (million)
% 0.71/0.85 % (6859)------------------------------
% 0.71/0.85 % (6859)------------------------------
% 0.71/0.85 % (6876)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.71/0.85 % (6877)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.71/0.85 % (6864)Instruction limit reached!
% 0.71/0.85 % (6864)------------------------------
% 0.71/0.85 % (6864)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.85 % (6864)Termination reason: Unknown
% 0.71/0.85 % (6864)Termination phase: Saturation
% 0.71/0.85
% 0.71/0.85 % (6864)Memory used [KB]: 1275
% 0.71/0.85 % (6864)Time elapsed: 0.030 s
% 0.71/0.85 % (6864)Instructions burned: 53 (million)
% 0.71/0.85 % (6864)------------------------------
% 0.71/0.85 % (6864)------------------------------
% 0.71/0.85 % (6878)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)
% 0.71/0.85 % (6880)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)
% 0.71/0.86 % (6884)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)
% 0.71/0.86 % (6851)Instruction limit reached!
% 0.71/0.86 % (6851)------------------------------
% 0.71/0.86 % (6851)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.86 % (6851)Termination reason: Unknown
% 0.71/0.86 % (6851)Termination phase: Saturation
% 0.71/0.86
% 0.71/0.86 % (6851)Memory used [KB]: 1550
% 0.71/0.86 % (6851)Time elapsed: 0.046 s
% 0.71/0.86 % (6851)Instructions burned: 78 (million)
% 0.71/0.86 % (6851)------------------------------
% 0.71/0.86 % (6851)------------------------------
% 0.71/0.86 % (6891)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)
% 0.93/0.88 % (6876)Instruction limit reached!
% 0.93/0.88 % (6876)------------------------------
% 0.93/0.88 % (6876)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.93/0.88 % (6876)Termination reason: Unknown
% 0.93/0.88 % (6876)Termination phase: Saturation
% 0.93/0.88
% 0.93/0.88 % (6876)Memory used [KB]: 1412
% 0.93/0.88 % (6876)Time elapsed: 0.027 s
% 0.93/0.88 % (6876)Instructions burned: 42 (million)
% 0.93/0.88 % (6876)------------------------------
% 0.93/0.88 % (6876)------------------------------
% 0.93/0.88 % (6880)First to succeed.
% 0.93/0.88 % (6900)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 (2994ds/32Mi)
% 0.93/0.88 % (6880)Refutation found. Thanks to Tanya!
% 0.93/0.88 % SZS status Theorem for Vampire---4
% 0.93/0.88 % SZS output start Proof for Vampire---4
% See solution above
% 0.93/0.88 % (6880)------------------------------
% 0.93/0.88 % (6880)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.93/0.88 % (6880)Termination reason: Refutation
% 0.93/0.88
% 0.93/0.88 % (6880)Memory used [KB]: 1422
% 0.93/0.88 % (6880)Time elapsed: 0.029 s
% 0.93/0.88 % (6880)Instructions burned: 45 (million)
% 0.93/0.88 % (6880)------------------------------
% 0.93/0.88 % (6880)------------------------------
% 0.93/0.88 % (6745)Success in time 0.514 s
% 0.93/0.88 % Vampire---4.8 exiting
%------------------------------------------------------------------------------