TSTP Solution File: NUM858_1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM858_1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 03:34:55 EDT 2024
% Result : Theorem 1.07s 1.00s
% Output : Refutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 44
% Syntax : Number of formulae : 197 ( 3 unt; 12 typ; 0 def)
% Number of atoms : 553 ( 36 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 590 ( 222 ~; 276 |; 48 &)
% ( 34 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 335 ( 110 atm; 0 fun; 0 num; 225 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 24 ( 9 >; 15 *; 0 +; 0 <<)
% Number of predicates : 27 ( 23 usr; 19 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 225 ( 208 !; 17 ?; 225 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
summation: $int > $int ).
tff(func_def_1,type,
max: ( $int * $int ) > $int ).
tff(func_def_6,type,
sK0: $int ).
tff(func_def_7,type,
sK1: $int ).
tff(func_def_8,type,
sK2: $int ).
tff(func_def_9,type,
sK3: ( $int * $int * $int ) > $int ).
tff(func_def_10,type,
sK4: ( $int * $int * $int ) > $int ).
tff(pred_def_1,type,
ub: ( $int * $int * $int ) > $o ).
tff(pred_def_2,type,
model_max: ( $int * $int * $int ) > $o ).
tff(pred_def_3,type,
model_ub: ( $int * $int * $int ) > $o ).
tff(pred_def_4,type,
minsol_model_max: ( $int * $int * $int ) > $o ).
tff(pred_def_5,type,
minsol_model_ub: ( $int * $int * $int ) > $o ).
tff(f1291,plain,
$false,
inference(avatar_sat_refutation,[],[f81,f82,f401,f417,f419,f511,f524,f717,f775,f776,f780,f824,f840,f907,f978,f1085,f1129,f1148,f1172,f1175,f1202,f1276,f1290]) ).
tff(f1290,plain,
( spl5_1
| ~ spl5_11
| ~ spl5_44 ),
inference(avatar_contradiction_clause,[],[f1289]) ).
tff(f1289,plain,
( $false
| spl5_1
| ~ spl5_11
| ~ spl5_44 ),
inference(subsumption_resolution,[],[f1287,f1216]) ).
tff(f1216,plain,
( ~ minsol_model_ub(sK0,sK1,sK1)
| spl5_1
| ~ spl5_11 ),
inference(backward_demodulation,[],[f76,f145]) ).
tff(f145,plain,
( ( sK1 = sK2 )
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f143]) ).
tff(f143,plain,
( spl5_11
<=> ( sK1 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
tff(f76,plain,
( ~ minsol_model_ub(sK0,sK1,sK2)
| spl5_1 ),
inference(avatar_component_clause,[],[f74]) ).
tff(f74,plain,
( spl5_1
<=> minsol_model_ub(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
tff(f1287,plain,
( minsol_model_ub(sK0,sK1,sK1)
| ~ spl5_44 ),
inference(resolution,[],[f1247,f344]) ).
tff(f344,plain,
! [X0: $int,X1: $int] :
( ~ model_ub(X0,X1,X1)
| minsol_model_ub(X0,X1,X1) ),
inference(duplicate_literal_removal,[],[f341]) ).
tff(f341,plain,
! [X0: $int,X1: $int] :
( ~ model_ub(X0,X1,X1)
| minsol_model_ub(X0,X1,X1)
| minsol_model_ub(X0,X1,X1)
| ~ model_ub(X0,X1,X1) ),
inference(resolution,[],[f285,f62]) ).
tff(f62,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(sK4(X0,X1,X2),X2)
| minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_ub(X0,X1,X2)
| ( $less(sK4(X0,X1,X2),X2)
& model_ub(X0,X1,sK4(X0,X1,X2)) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X4: $int] :
( ~ $less(X4,X2)
| ~ model_ub(X0,X1,X4) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f46,f47]) ).
tff(f47,plain,
! [X0: $int,X1: $int,X2: $int] :
( ? [X3: $int] :
( $less(X3,X2)
& model_ub(X0,X1,X3) )
=> ( $less(sK4(X0,X1,X2),X2)
& model_ub(X0,X1,sK4(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f46,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_ub(X0,X1,X2)
| ? [X3: $int] :
( $less(X3,X2)
& model_ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X4: $int] :
( ~ $less(X4,X2)
| ~ model_ub(X0,X1,X4) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(rectify,[],[f45]) ).
tff(f45,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_ub(X0,X1,X2)
| ? [X3: $int] :
( $less(X3,X2)
& model_ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X3: $int] :
( ~ $less(X3,X2)
| ~ model_ub(X0,X1,X3) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(flattening,[],[f44]) ).
tff(f44,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_ub(X0,X1,X2)
| ? [X3: $int] :
( $less(X3,X2)
& model_ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X3: $int] :
( ~ $less(X3,X2)
| ~ model_ub(X0,X1,X3) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f35]) ).
tff(f35,plain,
! [X0: $int,X1: $int,X2: $int] :
( minsol_model_ub(X0,X1,X2)
<=> ( ! [X3: $int] :
( ~ $less(X3,X2)
| ~ model_ub(X0,X1,X3) )
& model_ub(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0: $int,X1: $int,X2: $int] :
( minsol_model_ub(X0,X1,X2)
<=> ( ! [X3: $int] :
( model_ub(X0,X1,X3)
=> ~ $less(X3,X2) )
& model_ub(X0,X1,X2) ) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
! [X0: $int,X1: $int,X3: $int] :
( minsol_model_ub(X0,X1,X3)
<=> ( ! [X2: $int] :
( model_ub(X0,X1,X2)
=> ~ $less(X2,X3) )
& model_ub(X0,X1,X3) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X0: $int,X1: $int,X3: $int] :
( minsol_model_ub(X0,X1,X3)
<=> ( ! [X2: $int] :
( model_ub(X0,X1,X2)
=> $lesseq(X3,X2) )
& model_ub(X0,X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.LbYeCaDjkN/Vampire---4.8_8177',minsol_model_ub) ).
tff(f285,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(sK4(X0,X1,X2),X1)
| ~ model_ub(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ),
inference(resolution,[],[f90,f70]) ).
tff(f70,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ ub(X0,X1,X2)
| ~ $less(X2,X1) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ub(X0,X1,X2)
| $less(X2,X1)
| $less(X2,X0) )
& ( ( ~ $less(X2,X1)
& ~ $less(X2,X0) )
| ~ ub(X0,X1,X2) ) ),
inference(flattening,[],[f51]) ).
tff(f51,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ub(X0,X1,X2)
| $less(X2,X1)
| $less(X2,X0) )
& ( ( ~ $less(X2,X1)
& ~ $less(X2,X0) )
| ~ ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int,X2: $int] :
( ub(X0,X1,X2)
<=> ( ~ $less(X2,X1)
& ~ $less(X2,X0) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,axiom,
! [X0: $int,X1: $int,X2: $int] :
( ub(X0,X1,X2)
<=> ( $lesseq(X1,X2)
& $lesseq(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.LbYeCaDjkN/Vampire---4.8_8177',ub) ).
tff(f90,plain,
! [X2: $int,X0: $int,X1: $int] :
( ub(X0,X1,sK4(X0,X1,X2))
| minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2) ),
inference(resolution,[],[f65,f61]) ).
tff(f61,plain,
! [X2: $int,X0: $int,X1: $int] :
( model_ub(X0,X1,sK4(X0,X1,X2))
| minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
tff(f65,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ model_ub(X0,X1,X2)
| ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( model_ub(X0,X1,X2)
| ~ ub(X0,X1,X2) )
& ( ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: $int,X2: $int] :
( model_ub(X0,X1,X2)
<=> ub(X0,X1,X2) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X0: $int,X1: $int,X3: $int] :
( model_ub(X0,X1,X3)
<=> ub(X0,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.LbYeCaDjkN/Vampire---4.8_8177',model_ub_1) ).
tff(f1247,plain,
( model_ub(sK0,sK1,sK1)
| ~ spl5_44 ),
inference(avatar_component_clause,[],[f1246]) ).
tff(f1246,plain,
( spl5_44
<=> model_ub(sK0,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
tff(f1276,plain,
( spl5_3
| spl5_44 ),
inference(avatar_contradiction_clause,[],[f1275]) ).
tff(f1275,plain,
( $false
| spl5_3
| spl5_44 ),
inference(subsumption_resolution,[],[f1274,f22]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f1274,plain,
( $less(sK1,sK1)
| spl5_3
| spl5_44 ),
inference(subsumption_resolution,[],[f1273,f95]) ).
tff(f95,plain,
( ~ $less(sK1,sK0)
| spl5_3 ),
inference(avatar_component_clause,[],[f94]) ).
tff(f94,plain,
( spl5_3
<=> $less(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
tff(f1273,plain,
( $less(sK1,sK0)
| $less(sK1,sK1)
| spl5_44 ),
inference(resolution,[],[f1248,f194]) ).
tff(f194,plain,
! [X2: $int,X0: $int,X1: $int] :
( model_ub(X2,X1,X0)
| $less(X0,X2)
| $less(X0,X1) ),
inference(resolution,[],[f71,f66]) ).
tff(f66,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ ub(X0,X1,X2)
| model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f50]) ).
tff(f71,plain,
! [X2: $int,X0: $int,X1: $int] :
( ub(X0,X1,X2)
| $less(X2,X1)
| $less(X2,X0) ),
inference(cnf_transformation,[],[f52]) ).
tff(f1248,plain,
( ~ model_ub(sK0,sK1,sK1)
| spl5_44 ),
inference(avatar_component_clause,[],[f1246]) ).
tff(f1202,plain,
( spl5_11
| spl5_3
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f1201,f735,f94,f143]) ).
tff(f735,plain,
( spl5_25
<=> model_max(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
tff(f1201,plain,
( ( sK1 = sK2 )
| spl5_3
| ~ spl5_25 ),
inference(subsumption_resolution,[],[f1196,f95]) ).
tff(f1196,plain,
( ( sK1 = sK2 )
| $less(sK1,sK0)
| ~ spl5_25 ),
inference(resolution,[],[f736,f189]) ).
tff(f189,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ model_max(X0,X1,X2)
| ( X1 = X2 )
| $less(X1,X0) ),
inference(superposition,[],[f63,f67]) ).
tff(f67,plain,
! [X0: $int,X1: $int] :
( ( max(X0,X1) = X1 )
| $less(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( max(X0,X1) = X1 ) ),
inference(theory_normalization,[],[f3]) ).
tff(f3,axiom,
! [X0: $int,X1: $int] :
( ~ $lesseq(X0,X1)
| ( max(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.LbYeCaDjkN/Vampire---4.8_8177',max_2) ).
tff(f63,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( max(X0,X1) = X2 )
| ~ model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( model_max(X0,X1,X2)
| ( max(X0,X1) != X2 ) )
& ( ( max(X0,X1) = X2 )
| ~ model_max(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: $int,X2: $int] :
( model_max(X0,X1,X2)
<=> ( max(X0,X1) = X2 ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X0: $int,X1: $int,X3: $int] :
( model_max(X0,X1,X3)
<=> ( max(X0,X1) = X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.LbYeCaDjkN/Vampire---4.8_8177',model_max_1) ).
tff(f736,plain,
( model_max(sK0,sK1,sK2)
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f735]) ).
tff(f1175,plain,
( spl5_25
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f1174,f78,f735]) ).
tff(f78,plain,
( spl5_2
<=> minsol_model_max(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
tff(f1174,plain,
( model_max(sK0,sK1,sK2)
| ~ spl5_2 ),
inference(resolution,[],[f79,f55]) ).
tff(f55,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ minsol_model_max(X0,X1,X2)
| model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_max(X0,X1,X2)
| ( $less(sK3(X0,X1,X2),X2)
& model_max(X0,X1,sK3(X0,X1,X2)) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X4: $int] :
( ~ $less(X4,X2)
| ~ model_max(X0,X1,X4) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f41,f42]) ).
tff(f42,plain,
! [X0: $int,X1: $int,X2: $int] :
( ? [X3: $int] :
( $less(X3,X2)
& model_max(X0,X1,X3) )
=> ( $less(sK3(X0,X1,X2),X2)
& model_max(X0,X1,sK3(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f41,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_max(X0,X1,X2)
| ? [X3: $int] :
( $less(X3,X2)
& model_max(X0,X1,X3) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X4: $int] :
( ~ $less(X4,X2)
| ~ model_max(X0,X1,X4) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(rectify,[],[f40]) ).
tff(f40,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_max(X0,X1,X2)
| ? [X3: $int] :
( $less(X3,X2)
& model_max(X0,X1,X3) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X3: $int] :
( ~ $less(X3,X2)
| ~ model_max(X0,X1,X3) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(flattening,[],[f39]) ).
tff(f39,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_max(X0,X1,X2)
| ? [X3: $int] :
( $less(X3,X2)
& model_max(X0,X1,X3) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X3: $int] :
( ~ $less(X3,X2)
| ~ model_max(X0,X1,X3) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: $int,X2: $int] :
( minsol_model_max(X0,X1,X2)
<=> ( ! [X3: $int] :
( ~ $less(X3,X2)
| ~ model_max(X0,X1,X3) )
& model_max(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f29]) ).
tff(f29,plain,
! [X0: $int,X1: $int,X2: $int] :
( minsol_model_max(X0,X1,X2)
<=> ( ! [X3: $int] :
( model_max(X0,X1,X3)
=> ~ $less(X3,X2) )
& model_max(X0,X1,X2) ) ),
inference(rectify,[],[f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int,X3: $int] :
( minsol_model_max(X0,X1,X3)
<=> ( ! [X2: $int] :
( model_max(X0,X1,X2)
=> ~ $less(X2,X3) )
& model_max(X0,X1,X3) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,axiom,
! [X0: $int,X1: $int,X3: $int] :
( minsol_model_max(X0,X1,X3)
<=> ( ! [X2: $int] :
( model_max(X0,X1,X2)
=> $lesseq(X3,X2) )
& model_max(X0,X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.LbYeCaDjkN/Vampire---4.8_8177',minsol_model_max) ).
tff(f79,plain,
( minsol_model_max(sK0,sK1,sK2)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f78]) ).
tff(f1172,plain,
( spl5_11
| spl5_12
| spl5_4 ),
inference(avatar_split_clause,[],[f1170,f98,f147,f143]) ).
tff(f147,plain,
( spl5_12
<=> $less(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
tff(f98,plain,
( spl5_4
<=> $less(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
tff(f1170,plain,
( $less(sK2,sK1)
| ( sK1 = sK2 )
| spl5_4 ),
inference(resolution,[],[f100,f24]) ).
tff(f24,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f100,plain,
( ~ $less(sK1,sK2)
| spl5_4 ),
inference(avatar_component_clause,[],[f98]) ).
tff(f1148,plain,
( spl5_2
| ~ spl5_11
| ~ spl5_16
| ~ spl5_17 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
tff(f1147,plain,
( $false
| spl5_2
| ~ spl5_11
| ~ spl5_16
| ~ spl5_17 ),
inference(subsumption_resolution,[],[f1146,f391]) ).
tff(f391,plain,
( model_max(sK0,sK1,sK1)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f390]) ).
tff(f390,plain,
( spl5_16
<=> model_max(sK0,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
tff(f1146,plain,
( ~ model_max(sK0,sK1,sK1)
| spl5_2
| ~ spl5_11
| ~ spl5_17 ),
inference(subsumption_resolution,[],[f1145,f1104]) ).
tff(f1104,plain,
( ~ minsol_model_max(sK0,sK1,sK1)
| spl5_2
| ~ spl5_11 ),
inference(backward_demodulation,[],[f80,f145]) ).
tff(f80,plain,
( ~ minsol_model_max(sK0,sK1,sK2)
| spl5_2 ),
inference(avatar_component_clause,[],[f78]) ).
tff(f1145,plain,
( minsol_model_max(sK0,sK1,sK1)
| ~ model_max(sK0,sK1,sK1)
| ~ spl5_17 ),
inference(subsumption_resolution,[],[f1144,f22]) ).
tff(f1144,plain,
( $less(sK1,sK1)
| minsol_model_max(sK0,sK1,sK1)
| ~ model_max(sK0,sK1,sK1)
| ~ spl5_17 ),
inference(superposition,[],[f58,f396]) ).
tff(f396,plain,
( ( sK1 = sK3(sK0,sK1,sK1) )
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f394]) ).
tff(f394,plain,
( spl5_17
<=> ( sK1 = sK3(sK0,sK1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
tff(f58,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(sK3(X0,X1,X2),X2)
| minsol_model_max(X0,X1,X2)
| ~ model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
tff(f1129,plain,
( spl5_17
| spl5_2
| spl5_3
| ~ spl5_11
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f1128,f390,f143,f94,f78,f394]) ).
tff(f1128,plain,
( ( sK1 = sK3(sK0,sK1,sK1) )
| spl5_2
| spl5_3
| ~ spl5_11
| ~ spl5_16 ),
inference(subsumption_resolution,[],[f1127,f391]) ).
tff(f1127,plain,
( ( sK1 = sK3(sK0,sK1,sK1) )
| ~ model_max(sK0,sK1,sK1)
| spl5_2
| spl5_3
| ~ spl5_11 ),
inference(subsumption_resolution,[],[f1121,f95]) ).
tff(f1121,plain,
( $less(sK1,sK0)
| ( sK1 = sK3(sK0,sK1,sK1) )
| ~ model_max(sK0,sK1,sK1)
| spl5_2
| ~ spl5_11 ),
inference(resolution,[],[f1104,f232]) ).
tff(f232,plain,
! [X2: $int,X0: $int,X1: $int] :
( minsol_model_max(X1,X0,X2)
| $less(X0,X1)
| ( sK3(X1,X0,X2) = X0 )
| ~ model_max(X1,X0,X2) ),
inference(resolution,[],[f189,f57]) ).
tff(f57,plain,
! [X2: $int,X0: $int,X1: $int] :
( model_max(X0,X1,sK3(X0,X1,X2))
| minsol_model_max(X0,X1,X2)
| ~ model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
tff(f1085,plain,
( ~ spl5_4
| ~ spl5_1
| spl5_3 ),
inference(avatar_split_clause,[],[f1082,f94,f74,f98]) ).
tff(f1082,plain,
( ~ $less(sK1,sK2)
| ~ spl5_1
| spl5_3 ),
inference(subsumption_resolution,[],[f1076,f95]) ).
tff(f1076,plain,
( $less(sK1,sK0)
| ~ $less(sK1,sK2)
| ~ spl5_1 ),
inference(resolution,[],[f767,f22]) ).
tff(f767,plain,
( ! [X0: $int] :
( $less(X0,sK1)
| $less(X0,sK0)
| ~ $less(X0,sK2) )
| ~ spl5_1 ),
inference(resolution,[],[f722,f194]) ).
tff(f722,plain,
( ! [X0: $int] :
( ~ model_ub(sK0,sK1,X0)
| ~ $less(X0,sK2) )
| ~ spl5_1 ),
inference(resolution,[],[f75,f60]) ).
tff(f60,plain,
! [X2: $int,X0: $int,X1: $int,X4: $int] :
( ~ minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X4)
| ~ $less(X4,X2) ),
inference(cnf_transformation,[],[f48]) ).
tff(f75,plain,
( minsol_model_ub(sK0,sK1,sK2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f74]) ).
tff(f978,plain,
( ~ spl5_12
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f976,f74,f147]) ).
tff(f976,plain,
( ~ $less(sK2,sK1)
| ~ spl5_1 ),
inference(resolution,[],[f760,f70]) ).
tff(f760,plain,
( ub(sK0,sK1,sK2)
| ~ spl5_1 ),
inference(resolution,[],[f723,f65]) ).
tff(f723,plain,
( model_ub(sK0,sK1,sK2)
| ~ spl5_1 ),
inference(resolution,[],[f75,f59]) ).
tff(f59,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ minsol_model_ub(X0,X1,X2)
| model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
tff(f907,plain,
( ~ spl5_31
| spl5_2
| ~ spl5_9
| ~ spl5_36 ),
inference(avatar_split_clause,[],[f886,f821,f134,f78,f800]) ).
tff(f800,plain,
( spl5_31
<=> model_max(sK0,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
tff(f134,plain,
( spl5_9
<=> ( sK0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
tff(f821,plain,
( spl5_36
<=> ( sK0 = sK3(sK0,sK1,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
tff(f886,plain,
( ~ model_max(sK0,sK1,sK0)
| spl5_2
| ~ spl5_9
| ~ spl5_36 ),
inference(subsumption_resolution,[],[f885,f784]) ).
tff(f784,plain,
( ~ minsol_model_max(sK0,sK1,sK0)
| spl5_2
| ~ spl5_9 ),
inference(backward_demodulation,[],[f80,f136]) ).
tff(f136,plain,
( ( sK0 = sK2 )
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f134]) ).
tff(f885,plain,
( minsol_model_max(sK0,sK1,sK0)
| ~ model_max(sK0,sK1,sK0)
| ~ spl5_36 ),
inference(subsumption_resolution,[],[f884,f22]) ).
tff(f884,plain,
( $less(sK0,sK0)
| minsol_model_max(sK0,sK1,sK0)
| ~ model_max(sK0,sK1,sK0)
| ~ spl5_36 ),
inference(superposition,[],[f58,f823]) ).
tff(f823,plain,
( ( sK0 = sK3(sK0,sK1,sK0) )
| ~ spl5_36 ),
inference(avatar_component_clause,[],[f821]) ).
tff(f840,plain,
( spl5_5
| spl5_31 ),
inference(avatar_contradiction_clause,[],[f839]) ).
tff(f839,plain,
( $false
| spl5_5
| spl5_31 ),
inference(subsumption_resolution,[],[f838,f108]) ).
tff(f108,plain,
( ~ $less(sK0,sK1)
| spl5_5 ),
inference(avatar_component_clause,[],[f107]) ).
tff(f107,plain,
( spl5_5
<=> $less(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
tff(f838,plain,
( $less(sK0,sK1)
| spl5_31 ),
inference(resolution,[],[f802,f104]) ).
tff(f104,plain,
! [X0: $int,X1: $int] :
( model_max(X0,X1,X0)
| $less(X0,X1) ),
inference(superposition,[],[f72,f68]) ).
tff(f68,plain,
! [X0: $int,X1: $int] :
( ( max(X0,X1) = X0 )
| $less(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| ( max(X0,X1) = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,axiom,
! [X0: $int,X1: $int] :
( ~ $lesseq(X1,X0)
| ( max(X0,X1) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.LbYeCaDjkN/Vampire---4.8_8177',max_1) ).
tff(f72,plain,
! [X0: $int,X1: $int] : model_max(X0,X1,max(X0,X1)),
inference(equality_resolution,[],[f64]) ).
tff(f64,plain,
! [X2: $int,X0: $int,X1: $int] :
( model_max(X0,X1,X2)
| ( max(X0,X1) != X2 ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f802,plain,
( ~ model_max(sK0,sK1,sK0)
| spl5_31 ),
inference(avatar_component_clause,[],[f800]) ).
tff(f824,plain,
( ~ spl5_31
| spl5_36
| spl5_2
| spl5_5
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f819,f134,f107,f78,f821,f800]) ).
tff(f819,plain,
( ( sK0 = sK3(sK0,sK1,sK0) )
| ~ model_max(sK0,sK1,sK0)
| spl5_2
| spl5_5
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f798,f108]) ).
tff(f798,plain,
( $less(sK0,sK1)
| ( sK0 = sK3(sK0,sK1,sK0) )
| ~ model_max(sK0,sK1,sK0)
| spl5_2
| ~ spl5_9 ),
inference(resolution,[],[f784,f227]) ).
tff(f227,plain,
! [X2: $int,X0: $int,X1: $int] :
( minsol_model_max(X0,X1,X2)
| $less(X0,X1)
| ( sK3(X0,X1,X2) = X0 )
| ~ model_max(X0,X1,X2) ),
inference(resolution,[],[f188,f57]) ).
tff(f188,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ model_max(X0,X1,X2)
| ( X0 = X2 )
| $less(X0,X1) ),
inference(superposition,[],[f63,f68]) ).
tff(f780,plain,
( spl5_9
| spl5_10
| spl5_6 ),
inference(avatar_split_clause,[],[f778,f111,f138,f134]) ).
tff(f138,plain,
( spl5_10
<=> $less(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
tff(f111,plain,
( spl5_6
<=> $less(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
tff(f778,plain,
( $less(sK2,sK0)
| ( sK0 = sK2 )
| spl5_6 ),
inference(resolution,[],[f113,f24]) ).
tff(f113,plain,
( ~ $less(sK0,sK2)
| spl5_6 ),
inference(avatar_component_clause,[],[f111]) ).
tff(f776,plain,
( ~ spl5_10
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f771,f74,f138]) ).
tff(f771,plain,
( ~ $less(sK2,sK0)
| ~ spl5_1 ),
inference(resolution,[],[f760,f69]) ).
tff(f69,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ ub(X0,X1,X2)
| ~ $less(X2,X0) ),
inference(cnf_transformation,[],[f52]) ).
tff(f775,plain,
( ~ spl5_6
| ~ spl5_1
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f764,f216,f74,f111]) ).
tff(f216,plain,
( spl5_14
<=> model_ub(sK0,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
tff(f764,plain,
( ~ $less(sK0,sK2)
| ~ spl5_1
| ~ spl5_14 ),
inference(resolution,[],[f722,f217]) ).
tff(f217,plain,
( model_ub(sK0,sK1,sK0)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f216]) ).
tff(f717,plain,
( spl5_15
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f711,f216,f220]) ).
tff(f220,plain,
( spl5_15
<=> minsol_model_ub(sK0,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
tff(f711,plain,
( minsol_model_ub(sK0,sK1,sK0)
| ~ spl5_14 ),
inference(resolution,[],[f350,f217]) ).
tff(f350,plain,
! [X0: $int,X1: $int] :
( ~ model_ub(X0,X1,X0)
| minsol_model_ub(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f347]) ).
tff(f347,plain,
! [X0: $int,X1: $int] :
( ~ model_ub(X0,X1,X0)
| minsol_model_ub(X0,X1,X0)
| minsol_model_ub(X0,X1,X0)
| ~ model_ub(X0,X1,X0) ),
inference(resolution,[],[f286,f62]) ).
tff(f286,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(sK4(X0,X1,X2),X0)
| ~ model_ub(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ),
inference(resolution,[],[f90,f69]) ).
tff(f524,plain,
( ~ spl5_15
| spl5_1
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f521,f134,f74,f220]) ).
tff(f521,plain,
( ~ minsol_model_ub(sK0,sK1,sK0)
| spl5_1
| ~ spl5_9 ),
inference(backward_demodulation,[],[f76,f136]) ).
tff(f511,plain,
( spl5_9
| ~ spl5_2
| spl5_5 ),
inference(avatar_split_clause,[],[f510,f107,f78,f134]) ).
tff(f510,plain,
( ( sK0 = sK2 )
| ~ spl5_2
| spl5_5 ),
inference(subsumption_resolution,[],[f506,f108]) ).
tff(f506,plain,
( ( sK0 = sK2 )
| $less(sK0,sK1)
| ~ spl5_2 ),
inference(resolution,[],[f498,f188]) ).
tff(f498,plain,
( model_max(sK0,sK1,sK2)
| ~ spl5_2 ),
inference(resolution,[],[f79,f55]) ).
tff(f419,plain,
( spl5_5
| spl5_14 ),
inference(avatar_split_clause,[],[f418,f216,f107]) ).
tff(f418,plain,
( $less(sK0,sK1)
| spl5_14 ),
inference(subsumption_resolution,[],[f253,f22]) ).
tff(f253,plain,
( $less(sK0,sK0)
| $less(sK0,sK1)
| spl5_14 ),
inference(resolution,[],[f194,f218]) ).
tff(f218,plain,
( ~ model_ub(sK0,sK1,sK0)
| spl5_14 ),
inference(avatar_component_clause,[],[f216]) ).
tff(f417,plain,
( ~ spl5_3
| ~ spl5_5 ),
inference(avatar_contradiction_clause,[],[f416]) ).
tff(f416,plain,
( $false
| ~ spl5_3
| ~ spl5_5 ),
inference(subsumption_resolution,[],[f413,f22]) ).
tff(f413,plain,
( $less(sK1,sK1)
| ~ spl5_3
| ~ spl5_5 ),
inference(resolution,[],[f96,f171]) ).
tff(f171,plain,
( ! [X0: $int] :
( ~ $less(X0,sK0)
| $less(X0,sK1) )
| ~ spl5_5 ),
inference(resolution,[],[f109,f23]) ).
tff(f23,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f109,plain,
( $less(sK0,sK1)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f107]) ).
tff(f96,plain,
( $less(sK1,sK0)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f94]) ).
tff(f401,plain,
( spl5_3
| spl5_16 ),
inference(avatar_split_clause,[],[f398,f390,f94]) ).
tff(f398,plain,
( $less(sK1,sK0)
| spl5_16 ),
inference(resolution,[],[f392,f91]) ).
tff(f91,plain,
! [X0: $int,X1: $int] :
( model_max(X0,X1,X1)
| $less(X1,X0) ),
inference(superposition,[],[f72,f67]) ).
tff(f392,plain,
( ~ model_max(sK0,sK1,sK1)
| spl5_16 ),
inference(avatar_component_clause,[],[f390]) ).
tff(f82,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f53,f78,f74]) ).
tff(f53,plain,
( minsol_model_max(sK0,sK1,sK2)
| minsol_model_ub(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
( ( ~ minsol_model_max(sK0,sK1,sK2)
| ~ minsol_model_ub(sK0,sK1,sK2) )
& ( minsol_model_max(sK0,sK1,sK2)
| minsol_model_ub(sK0,sK1,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f36,f37]) ).
tff(f37,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ( ~ minsol_model_max(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,X2) )
& ( minsol_model_max(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ) )
=> ( ( ~ minsol_model_max(sK0,sK1,sK2)
| ~ minsol_model_ub(sK0,sK1,sK2) )
& ( minsol_model_max(sK0,sK1,sK2)
| minsol_model_ub(sK0,sK1,sK2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f36,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( ~ minsol_model_max(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,X2) )
& ( minsol_model_max(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f33]) ).
tff(f33,plain,
? [X0: $int,X1: $int,X2: $int] :
( minsol_model_ub(X0,X1,X2)
<~> minsol_model_max(X0,X1,X2) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
inference(negated_conjecture,[],[f9]) ).
tff(f9,conjecture,
! [X0: $int,X1: $int,X2: $int] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.LbYeCaDjkN/Vampire---4.8_8177',max_is_ub_1) ).
tff(f81,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f54,f78,f74]) ).
tff(f54,plain,
( ~ minsol_model_max(sK0,sK1,sK2)
| ~ minsol_model_ub(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM858_1 : TPTP v8.1.2. Released v4.1.0.
% 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
% 0.15/0.35 % Computer : n020.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 16:56:01 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TF0_THM_EQU_ARI problem
% 0.15/0.35 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.LbYeCaDjkN/Vampire---4.8_8177
% 0.74/0.90 % (8513)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.74/0.90 % (8510)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.74/0.90 % (8508)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 (2994ds/34Mi)
% 0.74/0.90 % (8511)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.74/0.90 % (8509)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 (2994ds/51Mi)
% 0.74/0.90 % (8512)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 (2994ds/34Mi)
% 0.74/0.90 % (8514)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 (2994ds/83Mi)
% 0.74/0.90 % (8515)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 (2994ds/56Mi)
% 0.74/0.90 % (8511)Refutation not found, incomplete strategy% (8511)------------------------------
% 0.74/0.90 % (8511)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.90 % (8511)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.90
% 0.74/0.90 % (8511)Memory used [KB]: 1025
% 0.74/0.90 % (8508)Refutation not found, incomplete strategy% (8508)------------------------------
% 0.74/0.90 % (8508)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.90 % (8508)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.90
% 0.74/0.90 % (8508)Memory used [KB]: 1039
% 0.74/0.90 % (8508)Time elapsed: 0.004 s
% 0.74/0.90 % (8508)Instructions burned: 3 (million)
% 0.74/0.90 % (8508)------------------------------
% 0.74/0.90 % (8508)------------------------------
% 0.74/0.90 % (8511)Time elapsed: 0.004 s
% 0.74/0.90 % (8511)Instructions burned: 3 (million)
% 0.74/0.90 % (8511)------------------------------
% 0.74/0.90 % (8511)------------------------------
% 0.74/0.90 % (8512)Refutation not found, incomplete strategy% (8512)------------------------------
% 0.74/0.90 % (8512)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.90 % (8512)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.90
% 0.74/0.90 % (8512)Memory used [KB]: 1030
% 0.74/0.90 % (8512)Time elapsed: 0.004 s
% 0.74/0.90 % (8512)Instructions burned: 4 (million)
% 0.74/0.90 % (8512)------------------------------
% 0.74/0.90 % (8512)------------------------------
% 0.74/0.90 % (8516)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 (2994ds/55Mi)
% 0.74/0.90 % (8518)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 (2994ds/208Mi)
% 0.74/0.90 % (8517)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 (2994ds/50Mi)
% 0.74/0.90 % (8518)Refutation not found, incomplete strategy% (8518)------------------------------
% 0.74/0.90 % (8518)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.90 % (8518)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.90
% 0.74/0.90 % (8518)Memory used [KB]: 1038
% 0.74/0.90 % (8518)Time elapsed: 0.003 s
% 0.74/0.90 % (8518)Instructions burned: 3 (million)
% 0.74/0.90 % (8518)------------------------------
% 0.74/0.90 % (8518)------------------------------
% 0.74/0.91 % (8519)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 (2994ds/52Mi)
% 0.74/0.92 % (8513)Instruction limit reached!
% 0.74/0.92 % (8513)------------------------------
% 0.74/0.92 % (8513)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.92 % (8513)Termination reason: Unknown
% 0.74/0.92 % (8513)Termination phase: Saturation
% 0.74/0.92
% 0.74/0.92 % (8513)Memory used [KB]: 1269
% 0.74/0.92 % (8513)Time elapsed: 0.024 s
% 0.74/0.92 % (8513)Instructions burned: 45 (million)
% 0.74/0.92 % (8513)------------------------------
% 0.74/0.92 % (8513)------------------------------
% 0.74/0.92 % (8515)Instruction limit reached!
% 0.74/0.92 % (8515)------------------------------
% 0.74/0.92 % (8515)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.92 % (8515)Termination reason: Unknown
% 0.74/0.92 % (8515)Termination phase: Saturation
% 0.74/0.92
% 0.74/0.92 % (8515)Memory used [KB]: 1400
% 0.74/0.92 % (8515)Time elapsed: 0.026 s
% 0.74/0.92 % (8515)Instructions burned: 57 (million)
% 0.74/0.92 % (8515)------------------------------
% 0.74/0.92 % (8515)------------------------------
% 0.74/0.92 % (8520)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 (2994ds/518Mi)
% 0.74/0.92 % (8521)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 (2994ds/42Mi)
% 0.74/0.93 % (8509)Instruction limit reached!
% 0.74/0.93 % (8509)------------------------------
% 0.74/0.93 % (8509)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.93 % (8509)Termination reason: Unknown
% 0.74/0.93 % (8509)Termination phase: Saturation
% 0.74/0.93
% 0.74/0.93 % (8509)Memory used [KB]: 1668
% 0.74/0.93 % (8509)Time elapsed: 0.034 s
% 0.74/0.93 % (8509)Instructions burned: 52 (million)
% 0.74/0.93 % (8509)------------------------------
% 0.74/0.93 % (8509)------------------------------
% 0.74/0.93 % (8517)Instruction limit reached!
% 0.74/0.93 % (8517)------------------------------
% 0.74/0.93 % (8517)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.93 % (8517)Termination reason: Unknown
% 0.74/0.93 % (8517)Termination phase: Saturation
% 0.74/0.93
% 0.74/0.93 % (8517)Memory used [KB]: 1355
% 0.74/0.93 % (8517)Time elapsed: 0.029 s
% 0.74/0.93 % (8517)Instructions burned: 50 (million)
% 0.74/0.93 % (8517)------------------------------
% 0.74/0.93 % (8517)------------------------------
% 0.74/0.93 % (8522)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 (2994ds/243Mi)
% 0.74/0.93 % (8516)Instruction limit reached!
% 0.74/0.93 % (8516)------------------------------
% 0.74/0.93 % (8516)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.93 % (8516)Termination reason: Unknown
% 0.74/0.93 % (8516)Termination phase: Saturation
% 0.74/0.93
% 0.74/0.93 % (8516)Memory used [KB]: 1358
% 0.74/0.93 % (8516)Time elapsed: 0.032 s
% 0.74/0.93 % (8516)Instructions burned: 55 (million)
% 0.74/0.93 % (8516)------------------------------
% 0.74/0.93 % (8516)------------------------------
% 0.74/0.93 % (8523)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 (2994ds/117Mi)
% 0.74/0.94 % (8524)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 (2994ds/143Mi)
% 0.74/0.94 % (8519)Instruction limit reached!
% 0.74/0.94 % (8519)------------------------------
% 0.74/0.94 % (8519)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.94 % (8519)Termination reason: Unknown
% 0.74/0.94 % (8519)Termination phase: Saturation
% 0.74/0.94
% 0.74/0.94 % (8519)Memory used [KB]: 1463
% 0.74/0.94 % (8519)Time elapsed: 0.033 s
% 0.74/0.94 % (8519)Instructions burned: 53 (million)
% 0.74/0.94 % (8519)------------------------------
% 0.74/0.94 % (8519)------------------------------
% 0.74/0.94 % (8510)Instruction limit reached!
% 0.74/0.94 % (8510)------------------------------
% 0.74/0.94 % (8510)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.94 % (8510)Termination reason: Unknown
% 0.74/0.94 % (8510)Termination phase: Saturation
% 0.74/0.94
% 0.74/0.94 % (8510)Memory used [KB]: 1364
% 0.74/0.94 % (8510)Time elapsed: 0.046 s
% 0.74/0.94 % (8510)Instructions burned: 78 (million)
% 0.74/0.94 % (8510)------------------------------
% 0.74/0.94 % (8510)------------------------------
% 0.95/0.94 % (8526)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 (2994ds/93Mi)
% 0.95/0.94 % (8527)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 (2994ds/62Mi)
% 0.95/0.95 % (8514)Instruction limit reached!
% 0.95/0.95 % (8514)------------------------------
% 0.95/0.95 % (8514)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.95/0.95 % (8514)Termination reason: Unknown
% 0.95/0.95 % (8514)Termination phase: Saturation
% 0.95/0.95
% 0.95/0.95 % (8514)Memory used [KB]: 1660
% 0.95/0.95 % (8514)Time elapsed: 0.051 s
% 0.95/0.95 % (8514)Instructions burned: 83 (million)
% 0.95/0.95 % (8514)------------------------------
% 0.95/0.95 % (8514)------------------------------
% 0.95/0.95 % (8521)Instruction limit reached!
% 0.95/0.95 % (8521)------------------------------
% 0.95/0.95 % (8521)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.95/0.95 % (8521)Termination reason: Unknown
% 0.95/0.95 % (8521)Termination phase: Saturation
% 0.95/0.95
% 0.95/0.95 % (8521)Memory used [KB]: 1249
% 0.95/0.95 % (8521)Time elapsed: 0.026 s
% 0.95/0.95 % (8521)Instructions burned: 43 (million)
% 0.95/0.95 % (8521)------------------------------
% 0.95/0.95 % (8521)------------------------------
% 0.95/0.95 % (8528)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)
% 1.07/0.95 % (8529)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 (2994ds/1919Mi)
% 1.07/0.97 % (8528)Instruction limit reached!
% 1.07/0.97 % (8528)------------------------------
% 1.07/0.97 % (8528)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.07/0.97 % (8528)Termination reason: Unknown
% 1.07/0.97 % (8528)Termination phase: Saturation
% 1.07/0.97
% 1.07/0.97 % (8528)Memory used [KB]: 1263
% 1.07/0.97 % (8528)Time elapsed: 0.020 s
% 1.07/0.97 % (8528)Instructions burned: 32 (million)
% 1.07/0.97 % (8528)------------------------------
% 1.07/0.97 % (8528)------------------------------
% 1.07/0.97 % (8531)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 (2993ds/55Mi)
% 1.07/0.98 % (8527)Instruction limit reached!
% 1.07/0.98 % (8527)------------------------------
% 1.07/0.98 % (8527)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.07/0.98 % (8527)Termination reason: Unknown
% 1.07/0.98 % (8527)Termination phase: Saturation
% 1.07/0.98
% 1.07/0.98 % (8527)Memory used [KB]: 1368
% 1.07/0.98 % (8527)Time elapsed: 0.034 s
% 1.07/0.98 % (8527)Instructions burned: 63 (million)
% 1.07/0.98 % (8527)------------------------------
% 1.07/0.98 % (8527)------------------------------
% 1.07/0.98 % (8534)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 (2993ds/53Mi)
% 1.07/0.98 % (8534)Refutation not found, incomplete strategy% (8534)------------------------------
% 1.07/0.98 % (8534)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.07/0.98 % (8534)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.98
% 1.07/0.98 % (8534)Memory used [KB]: 1042
% 1.07/0.98 % (8534)Time elapsed: 0.003 s
% 1.07/0.98 % (8534)Instructions burned: 4 (million)
% 1.07/0.98 % (8534)------------------------------
% 1.07/0.98 % (8534)------------------------------
% 1.07/0.99 % (8536)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2993ds/46Mi)
% 1.07/0.99 % (8526)Instruction limit reached!
% 1.07/0.99 % (8526)------------------------------
% 1.07/0.99 % (8526)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.07/0.99 % (8526)Termination reason: Unknown
% 1.07/0.99 % (8526)Termination phase: Saturation
% 1.07/0.99
% 1.07/0.99 % (8526)Memory used [KB]: 1815
% 1.07/0.99 % (8526)Time elapsed: 0.046 s
% 1.07/0.99 % (8526)Instructions burned: 95 (million)
% 1.07/0.99 % (8526)------------------------------
% 1.07/0.99 % (8526)------------------------------
% 1.07/0.99 % (8523)Instruction limit reached!
% 1.07/0.99 % (8523)------------------------------
% 1.07/0.99 % (8523)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.07/0.99 % (8523)Termination reason: Unknown
% 1.07/0.99 % (8523)Termination phase: Saturation
% 1.07/0.99
% 1.07/0.99 % (8523)Memory used [KB]: 1536
% 1.07/0.99 % (8523)Time elapsed: 0.057 s
% 1.07/0.99 % (8523)Instructions burned: 119 (million)
% 1.07/0.99 % (8523)------------------------------
% 1.07/0.99 % (8523)------------------------------
% 1.07/0.99 % (8538)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2993ds/102Mi)
% 1.07/0.99 % (8539)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2993ds/35Mi)
% 1.07/0.99 % (8529)First to succeed.
% 1.07/1.00 % (8539)Refutation not found, incomplete strategy% (8539)------------------------------
% 1.07/1.00 % (8539)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.07/1.00 % (8539)Termination reason: Refutation not found, incomplete strategy
% 1.07/1.00
% 1.07/1.00 % (8539)Memory used [KB]: 1053
% 1.07/1.00 % (8539)Time elapsed: 0.005 s
% 1.07/1.00 % (8539)Instructions burned: 6 (million)
% 1.07/1.00 % (8539)------------------------------
% 1.07/1.00 % (8539)------------------------------
% 1.07/1.00 % (8529)Refutation found. Thanks to Tanya!
% 1.07/1.00 % SZS status Theorem for Vampire---4
% 1.07/1.00 % SZS output start Proof for Vampire---4
% See solution above
% 1.07/1.00 % (8529)------------------------------
% 1.07/1.00 % (8529)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.07/1.00 % (8529)Termination reason: Refutation
% 1.07/1.00
% 1.07/1.00 % (8529)Memory used [KB]: 1400
% 1.07/1.00 % (8529)Time elapsed: 0.046 s
% 1.07/1.00 % (8529)Instructions burned: 83 (million)
% 1.07/1.00 % (8529)------------------------------
% 1.07/1.00 % (8529)------------------------------
% 1.07/1.00 % (8431)Success in time 0.633 s
% 1.07/1.00 % Vampire---4.8 exiting
%------------------------------------------------------------------------------