TSTP Solution File: NLP266_4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n015.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 : Mon May 22 15:39:56 EDT 2023
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 47
% Syntax : Number of formulae : 159 ( 12 unt; 16 typ; 0 def)
% Number of atoms : 1052 ( 0 equ)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 1318 ( 588 ~; 574 |; 93 &)
% ( 17 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 179 ( 179 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 34 ( 13 >; 21 *; 0 +; 0 <<)
% Number of predicates : 30 ( 29 usr; 21 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 326 (; 281 !; 45 ?; 221 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_3,type,
sK0: '$ki_world' > $i ).
tff(func_def_4,type,
sK1: ( '$ki_world' * $i * $i * $i ) > $i ).
tff(func_def_5,type,
sK2: '$ki_world' ).
tff(func_def_6,type,
sK3: ( $i * $i ) > '$ki_world' ).
tff(func_def_7,type,
sK4: ( $i * $i * $i * $i ) > '$ki_world' ).
tff(func_def_10,type,
sK7: '$ki_world' > $i ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
number: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_3,type,
string: ( '$ki_world' * $i ) > $o ).
tff(pred_def_4,type,
in: ( '$ki_world' * $i * $i * $i ) > $o ).
tff(pred_def_5,type,
do: ( '$ki_world' * $i * $i * $i ) > $o ).
tff(pred_def_6,type,
entry_box: ( '$ki_world' * $i ) > $o ).
tff(pred_def_7,type,
userid: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_8,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(f371,plain,
$false,
inference(avatar_sat_refutation,[],[f79,f81,f113,f128,f130,f138,f173,f175,f220,f261,f264,f281,f311,f324,f332,f336,f366,f370]) ).
tff(f370,plain,
( spl8_7
| ~ spl8_30 ),
inference(avatar_split_clause,[],[f369,f309,f133]) ).
tff(f133,plain,
( spl8_7
<=> ! [X2] : ~ '$ki_exists_in_world_$i'(sK2,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
tff(f309,plain,
( spl8_30
<=> ! [X2] :
( ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2,X2,sK7('$ki_local_world'),sK6))
| ~ '$ki_exists_in_world_$i'(sK2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).
tff(f369,plain,
( ! [X0: $i] : ~ '$ki_exists_in_world_$i'(sK2,X0)
| ~ spl8_30 ),
inference(resolution,[],[f310,f56]) ).
tff(f56,plain,
! [X0: $i,X1: '$ki_world'] : '$ki_exists_in_world_$i'(X1,X0),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0,X1: '$ki_world'] : '$ki_exists_in_world_$i'(X1,X0),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X3,X0: '$ki_world'] : '$ki_exists_in_world_$i'(X0,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
tff(f310,plain,
( ! [X2: $i] :
( ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2,X2,sK7('$ki_local_world'),sK6))
| ~ '$ki_exists_in_world_$i'(sK2,X2) )
| ~ spl8_30 ),
inference(avatar_component_clause,[],[f309]) ).
tff(f366,plain,
( ~ spl8_31
| spl8_29 ),
inference(avatar_split_clause,[],[f365,f305,f329]) ).
tff(f329,plain,
( spl8_31
<=> '$ki_accessible'('$ki_local_world',sK3(sK7('$ki_local_world'),sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_31])]) ).
tff(f305,plain,
( spl8_29
<=> number(sK3(sK7('$ki_local_world'),sK6),sK6,one) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).
tff(f365,plain,
( ~ '$ki_accessible'('$ki_local_world',sK3(sK7('$ki_local_world'),sK6))
| spl8_29 ),
inference(resolution,[],[f307,f53]) ).
tff(f53,plain,
! [X1: '$ki_world'] :
( number(X1,sK6,one)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f36]) ).
tff(f36,plain,
( '$ki_exists_in_world_$i'('$ki_local_world',sK6)
& ! [X1: '$ki_world'] :
( ( entry_box(X1,sK6)
& number(X1,sK6,one) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f21,f35]) ).
tff(f35,plain,
( ? [X0] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
& ! [X1: '$ki_world'] :
( ( entry_box(X1,X0)
& number(X1,X0,one) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) )
=> ( '$ki_exists_in_world_$i'('$ki_local_world',sK6)
& ! [X1: '$ki_world'] :
( ( entry_box(X1,sK6)
& number(X1,sK6,one) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
? [X0] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
& ! [X1: '$ki_world'] :
( ( entry_box(X1,X0)
& number(X1,X0,one) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
? [X0] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( entry_box(X1,X0)
& number(X1,X0,one) ) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
? [X6] :
( '$ki_exists_in_world_$i'('$ki_local_world',X6)
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( number(X0,X6,one)
& entry_box(X0,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f307,plain,
( ~ number(sK3(sK7('$ki_local_world'),sK6),sK6,one)
| spl8_29 ),
inference(avatar_component_clause,[],[f305]) ).
tff(f336,plain,
( ~ spl8_11
| ~ spl8_16
| ~ spl8_17
| ~ spl8_1
| ~ spl8_8
| spl8_31 ),
inference(avatar_split_clause,[],[f334,f329,f136,f73,f214,f210,f167]) ).
tff(f167,plain,
( spl8_11
<=> entry_box(sK2,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
tff(f210,plain,
( spl8_16
<=> '$ki_exists_in_world_$i'(sK2,sK7('$ki_local_world')) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
tff(f214,plain,
( spl8_17
<=> string(sK2,sK7('$ki_local_world')) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
tff(f73,plain,
( spl8_1
<=> '$ki_exists_in_world_$i'(sK2,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
tff(f136,plain,
( spl8_8
<=> ! [X0,X1] :
( ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X0)
| ~ string(sK2,X1)
| '$ki_accessible'(sK2,sK3(X1,X0))
| ~ entry_box(sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
tff(f334,plain,
( ~ '$ki_exists_in_world_$i'(sK2,sK6)
| ~ string(sK2,sK7('$ki_local_world'))
| ~ '$ki_exists_in_world_$i'(sK2,sK7('$ki_local_world'))
| ~ entry_box(sK2,sK6)
| ~ spl8_8
| spl8_31 ),
inference(resolution,[],[f331,f282]) ).
tff(f282,plain,
( ! [X0: $i,X1: $i] :
( '$ki_accessible'('$ki_local_world',sK3(X0,X1))
| ~ string(sK2,X0)
| ~ '$ki_exists_in_world_$i'(sK2,X0)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ entry_box(sK2,X1) )
| ~ spl8_8 ),
inference(resolution,[],[f137,f60]) ).
tff(f60,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'(sK2,X0)
| '$ki_accessible'('$ki_local_world',X0) ),
inference(resolution,[],[f40,f52]) ).
tff(f52,plain,
'$ki_accessible'('$ki_local_world',sK2),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
( '$ki_accessible'('$ki_local_world',sK2)
& ! [X1] :
( ! [X2] :
( ~ '$ki_exists_in_world_$i'(sK2,X2)
| ! [X3] :
( ! [X4] :
( ( ( ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1) )
& '$ki_accessible'(sK2,sK3(X1,X2)) )
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ( '$ki_accessible'(sK2,sK4(X1,X2,X3,X4))
& ~ in(sK4(X1,X2,X3,X4),X1,X2,sK5(X1,X2,X3,X4))
& do(sK4(X1,X2,X3,X4),X4,X3,sK5(X1,X2,X3,X4))
& '$ki_exists_in_world_$i'(sK4(X1,X2,X3,X4),sK5(X1,X2,X3,X4)) ) )
| ~ '$ki_exists_in_world_$i'(sK2,X3) ) )
| ~ '$ki_exists_in_world_$i'(sK2,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f18,f33,f32,f31,f30]) ).
tff(f30,plain,
( ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ! [X1] :
( ! [X2] :
( ~ '$ki_exists_in_world_$i'(X0,X2)
| ! [X3] :
( ! [X4] :
( ? [X5: '$ki_world'] :
( ( ~ number(X5,X2,one)
| ~ entry_box(X5,X2)
| ~ userid(X5,u,X1) )
& '$ki_accessible'(X0,X5) )
| ~ '$ki_exists_in_world_$i'(X0,X4)
| ? [X6: '$ki_world'] :
( '$ki_accessible'(X0,X6)
& ? [X7] :
( ~ in(X6,X1,X2,X7)
& do(X6,X4,X3,X7)
& '$ki_exists_in_world_$i'(X6,X7) ) ) )
| ~ '$ki_exists_in_world_$i'(X0,X3) ) )
| ~ '$ki_exists_in_world_$i'(X0,X1) ) )
=> ( '$ki_accessible'('$ki_local_world',sK2)
& ! [X1] :
( ! [X2] :
( ~ '$ki_exists_in_world_$i'(sK2,X2)
| ! [X3] :
( ! [X4] :
( ? [X5: '$ki_world'] :
( ( ~ number(X5,X2,one)
| ~ entry_box(X5,X2)
| ~ userid(X5,u,X1) )
& '$ki_accessible'(sK2,X5) )
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ? [X6: '$ki_world'] :
( '$ki_accessible'(sK2,X6)
& ? [X7] :
( ~ in(X6,X1,X2,X7)
& do(X6,X4,X3,X7)
& '$ki_exists_in_world_$i'(X6,X7) ) ) )
| ~ '$ki_exists_in_world_$i'(sK2,X3) ) )
| ~ '$ki_exists_in_world_$i'(sK2,X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f31,plain,
! [X1,X2] :
( ? [X5: '$ki_world'] :
( ( ~ number(X5,X2,one)
| ~ entry_box(X5,X2)
| ~ userid(X5,u,X1) )
& '$ki_accessible'(sK2,X5) )
=> ( ( ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1) )
& '$ki_accessible'(sK2,sK3(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f32,plain,
! [X1,X2,X3,X4] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(sK2,X6)
& ? [X7] :
( ~ in(X6,X1,X2,X7)
& do(X6,X4,X3,X7)
& '$ki_exists_in_world_$i'(X6,X7) ) )
=> ( '$ki_accessible'(sK2,sK4(X1,X2,X3,X4))
& ? [X7] :
( ~ in(sK4(X1,X2,X3,X4),X1,X2,X7)
& do(sK4(X1,X2,X3,X4),X4,X3,X7)
& '$ki_exists_in_world_$i'(sK4(X1,X2,X3,X4),X7) ) ) ),
introduced(choice_axiom,[]) ).
tff(f33,plain,
! [X1,X2,X3,X4] :
( ? [X7] :
( ~ in(sK4(X1,X2,X3,X4),X1,X2,X7)
& do(sK4(X1,X2,X3,X4),X4,X3,X7)
& '$ki_exists_in_world_$i'(sK4(X1,X2,X3,X4),X7) )
=> ( ~ in(sK4(X1,X2,X3,X4),X1,X2,sK5(X1,X2,X3,X4))
& do(sK4(X1,X2,X3,X4),X4,X3,sK5(X1,X2,X3,X4))
& '$ki_exists_in_world_$i'(sK4(X1,X2,X3,X4),sK5(X1,X2,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ! [X1] :
( ! [X2] :
( ~ '$ki_exists_in_world_$i'(X0,X2)
| ! [X3] :
( ! [X4] :
( ? [X5: '$ki_world'] :
( ( ~ number(X5,X2,one)
| ~ entry_box(X5,X2)
| ~ userid(X5,u,X1) )
& '$ki_accessible'(X0,X5) )
| ~ '$ki_exists_in_world_$i'(X0,X4)
| ? [X6: '$ki_world'] :
( '$ki_accessible'(X0,X6)
& ? [X7] :
( ~ in(X6,X1,X2,X7)
& do(X6,X4,X3,X7)
& '$ki_exists_in_world_$i'(X6,X7) ) ) )
| ~ '$ki_exists_in_world_$i'(X0,X3) ) )
| ~ '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
? [X0: '$ki_world'] :
( ! [X1] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ! [X2] :
( ~ '$ki_exists_in_world_$i'(X0,X2)
| ! [X3] :
( ~ '$ki_exists_in_world_$i'(X0,X3)
| ! [X4] :
( ? [X6: '$ki_world'] :
( ? [X7] :
( ~ in(X6,X1,X2,X7)
& do(X6,X4,X3,X7)
& '$ki_exists_in_world_$i'(X6,X7) )
& '$ki_accessible'(X0,X6) )
| ? [X5: '$ki_world'] :
( ( ~ number(X5,X2,one)
| ~ entry_box(X5,X2)
| ~ userid(X5,u,X1) )
& '$ki_accessible'(X0,X5) )
| ~ '$ki_exists_in_world_$i'(X0,X4) ) ) ) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,plain,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& ? [X2] :
( '$ki_exists_in_world_$i'(X0,X2)
& ? [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
& ? [X4] :
( ! [X6: '$ki_world'] :
( '$ki_accessible'(X0,X6)
=> ! [X7] :
( '$ki_exists_in_world_$i'(X6,X7)
=> ( do(X6,X4,X3,X7)
=> in(X6,X1,X2,X7) ) ) )
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ( entry_box(X5,X2)
& number(X5,X2,one)
& userid(X5,u,X1) ) )
& '$ki_exists_in_world_$i'(X0,X4) ) ) ) ) ),
inference(rectify,[],[f9]) ).
tff(f9,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X4] :
( '$ki_exists_in_world_$i'(X0,X4)
& ? [X6] :
( ? [X8] :
( ? [X7] :
( ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ( userid(X5,u,X4)
& number(X5,X6,one)
& entry_box(X5,X6) ) )
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X9] :
( '$ki_exists_in_world_$i'(X5,X9)
=> ( do(X5,X7,X8,X9)
=> in(X5,X4,X6,X9) ) ) )
& '$ki_exists_in_world_$i'(X0,X7) )
& '$ki_exists_in_world_$i'(X0,X8) )
& '$ki_exists_in_world_$i'(X0,X6) ) ) ),
inference(negated_conjecture,[],[f8]) ).
tff(f8,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X4] :
( '$ki_exists_in_world_$i'(X0,X4)
& ? [X6] :
( ? [X8] :
( ? [X7] :
( ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ( userid(X5,u,X4)
& number(X5,X6,one)
& entry_box(X5,X6) ) )
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X9] :
( '$ki_exists_in_world_$i'(X5,X9)
=> ( do(X5,X7,X8,X9)
=> in(X5,X4,X6,X9) ) ) )
& '$ki_exists_in_world_$i'(X0,X7) )
& '$ki_exists_in_world_$i'(X0,X8) )
& '$ki_exists_in_world_$i'(X0,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f40,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X2,X1)
| ~ '$ki_accessible'(X1,X0)
| '$ki_accessible'(X2,X0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'(X2,X1)
| ~ '$ki_accessible'(X1,X0)
| '$ki_accessible'(X2,X0) ),
inference(rectify,[],[f23]) ).
tff(f23,plain,
! [X1: '$ki_world',X0: '$ki_world',X2: '$ki_world'] :
( ~ '$ki_accessible'(X2,X0)
| ~ '$ki_accessible'(X0,X1)
| '$ki_accessible'(X2,X1) ),
inference(flattening,[],[f22]) ).
tff(f22,plain,
! [X1: '$ki_world',X0: '$ki_world',X2: '$ki_world'] :
( '$ki_accessible'(X2,X1)
| ~ '$ki_accessible'(X2,X0)
| ~ '$ki_accessible'(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
! [X1: '$ki_world',X0: '$ki_world',X2: '$ki_world'] :
( ( '$ki_accessible'(X2,X0)
& '$ki_accessible'(X0,X1) )
=> '$ki_accessible'(X2,X1) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: '$ki_world',X2: '$ki_world',X0: '$ki_world'] :
( ( '$ki_accessible'(X1,X2)
& '$ki_accessible'(X0,X1) )
=> '$ki_accessible'(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive) ).
tff(f137,plain,
( ! [X0: $i,X1: $i] :
( '$ki_accessible'(sK2,sK3(X1,X0))
| ~ string(sK2,X1)
| ~ entry_box(sK2,X0)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X0) )
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f136]) ).
tff(f331,plain,
( ~ '$ki_accessible'('$ki_local_world',sK3(sK7('$ki_local_world'),sK6))
| spl8_31 ),
inference(avatar_component_clause,[],[f329]) ).
tff(f332,plain,
( ~ spl8_31
| ~ spl8_5
| spl8_28 ),
inference(avatar_split_clause,[],[f327,f301,f115,f329]) ).
tff(f115,plain,
( spl8_5
<=> '$ki_accessible'('$ki_local_world','$ki_local_world') ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
tff(f301,plain,
( spl8_28
<=> userid(sK3(sK7('$ki_local_world'),sK6),u,sK7('$ki_local_world')) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).
tff(f327,plain,
( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ '$ki_accessible'('$ki_local_world',sK3(sK7('$ki_local_world'),sK6))
| spl8_28 ),
inference(resolution,[],[f303,f59]) ).
tff(f59,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( userid(X2,u,sK7(X0))
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,X2) ),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: '$ki_world'] :
( ( ! [X2: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| ( userid(X2,u,sK7(X0))
& string(X2,sK7(X0)) ) )
& '$ki_exists_in_world_$i'(X0,sK7(X0)) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f24,f37]) ).
tff(f37,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( ! [X2: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| ( userid(X2,u,X1)
& string(X2,X1) ) )
& '$ki_exists_in_world_$i'(X0,X1) )
=> ( ! [X2: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| ( userid(X2,u,sK7(X0))
& string(X2,sK7(X0)) ) )
& '$ki_exists_in_world_$i'(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f24,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( ! [X2: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| ( userid(X2,u,X1)
& string(X2,X1) ) )
& '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> ( userid(X2,u,X1)
& string(X2,X1) ) ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X4] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ( userid(X5,u,X4)
& string(X5,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f303,plain,
( ~ userid(sK3(sK7('$ki_local_world'),sK6),u,sK7('$ki_local_world'))
| spl8_28 ),
inference(avatar_component_clause,[],[f301]) ).
tff(f324,plain,
( ~ spl8_11
| ~ spl8_16
| ~ spl8_17
| ~ spl8_1
| ~ spl8_8
| spl8_27 ),
inference(avatar_split_clause,[],[f321,f297,f136,f73,f214,f210,f167]) ).
tff(f297,plain,
( spl8_27
<=> entry_box(sK3(sK7('$ki_local_world'),sK6),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).
tff(f321,plain,
( ~ '$ki_exists_in_world_$i'(sK2,sK6)
| ~ string(sK2,sK7('$ki_local_world'))
| ~ '$ki_exists_in_world_$i'(sK2,sK7('$ki_local_world'))
| ~ entry_box(sK2,sK6)
| ~ spl8_8
| spl8_27 ),
inference(resolution,[],[f320,f282]) ).
tff(f320,plain,
( ~ '$ki_accessible'('$ki_local_world',sK3(sK7('$ki_local_world'),sK6))
| spl8_27 ),
inference(resolution,[],[f299,f54]) ).
tff(f54,plain,
! [X1: '$ki_world'] :
( entry_box(X1,sK6)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f36]) ).
tff(f299,plain,
( ~ entry_box(sK3(sK7('$ki_local_world'),sK6),sK6)
| spl8_27 ),
inference(avatar_component_clause,[],[f297]) ).
tff(f311,plain,
( ~ spl8_3
| ~ spl8_16
| ~ spl8_1
| ~ spl8_11
| ~ spl8_17
| ~ spl8_27
| ~ spl8_28
| ~ spl8_29
| spl8_30
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f294,f218,f309,f305,f301,f297,f214,f167,f73,f210,f107]) ).
tff(f107,plain,
( spl8_3
<=> '$ki_accessible'('$ki_local_world',sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
tff(f218,plain,
( spl8_18
<=> ! [X2,X3] :
( '$ki_accessible'(sK2,sK4(sK7('$ki_local_world'),sK6,X3,X2))
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_exists_in_world_$i'(sK2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
tff(f294,plain,
( ! [X2: $i] :
( ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2,X2,sK7('$ki_local_world'),sK6))
| ~ number(sK3(sK7('$ki_local_world'),sK6),sK6,one)
| ~ userid(sK3(sK7('$ki_local_world'),sK6),u,sK7('$ki_local_world'))
| ~ entry_box(sK3(sK7('$ki_local_world'),sK6),sK6)
| ~ string(sK2,sK7('$ki_local_world'))
| ~ entry_box(sK2,sK6)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_exists_in_world_$i'(sK2,sK6)
| ~ '$ki_exists_in_world_$i'(sK2,sK7('$ki_local_world'))
| ~ '$ki_accessible'('$ki_local_world',sK2) )
| ~ spl8_18 ),
inference(duplicate_literal_removal,[],[f291]) ).
tff(f291,plain,
( ! [X2: $i] :
( ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2,X2,sK7('$ki_local_world'),sK6))
| ~ userid(sK3(sK7('$ki_local_world'),sK6),u,sK7('$ki_local_world'))
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_exists_in_world_$i'(sK2,sK7('$ki_local_world'))
| ~ '$ki_exists_in_world_$i'(sK2,sK7('$ki_local_world'))
| ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2,X2,sK7('$ki_local_world'),sK6))
| ~ string(sK2,sK7('$ki_local_world'))
| ~ entry_box(sK3(sK7('$ki_local_world'),sK6),sK6)
| ~ '$ki_exists_in_world_$i'(sK2,sK6)
| ~ entry_box(sK2,sK6)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ number(sK3(sK7('$ki_local_world'),sK6),sK6,one)
| ~ '$ki_exists_in_world_$i'(sK2,sK6)
| ~ '$ki_accessible'('$ki_local_world',sK2) )
| ~ spl8_18 ),
inference(resolution,[],[f219,f100]) ).
tff(f100,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
( ~ '$ki_accessible'(X0,sK4(X3,X2,sK1(X0,X1,X3,X2),X1))
| ~ '$ki_exists_in_world_$i'(X0,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ string(X0,X3)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X0,X1,X3,X2))
| ~ entry_box(sK3(X3,X2),X2)
| ~ number(sK3(X3,X2),X2,one)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_exists_in_world_$i'(X0,X2)
| ~ entry_box(X0,X2)
| ~ userid(sK3(X3,X2),u,X3) ),
inference(duplicate_literal_removal,[],[f97]) ).
tff(f97,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
( ~ entry_box(sK3(X3,X2),X2)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_accessible'(X0,sK4(X3,X2,sK1(X0,X1,X3,X2),X1))
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X0,X1,X3,X2))
| ~ userid(sK3(X3,X2),u,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ string(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X2)
| ~ number(sK3(X3,X2),X2,one)
| ~ '$ki_exists_in_world_$i'(X0,X3)
| ~ entry_box(X0,X2)
| ~ userid(sK3(X3,X2),u,X3)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X0,X1,X3,X2))
| ~ entry_box(sK3(X3,X2),X2)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ number(sK3(X3,X2),X2,one)
| ~ '$ki_exists_in_world_$i'(sK2,X2) ),
inference(resolution,[],[f88,f48]) ).
tff(f48,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( '$ki_exists_in_world_$i'(sK4(X1,X2,X3,X4),sK5(X1,X2,X3,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ number(sK3(X1,X2),X2,one)
| ~ userid(sK3(X1,X2),u,X1)
| ~ entry_box(sK3(X1,X2),X2) ),
inference(cnf_transformation,[],[f34]) ).
tff(f88,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4(X1,X0,sK1(X2,X3,X1,X0),X3),sK5(X1,X0,sK1(X2,X3,X1,X0),X3))
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_exists_in_world_$i'(X2,X0)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,sK4(X1,X0,sK1(X2,X3,X1,X0),X3))
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ userid(sK3(X1,X0),u,X1)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X2,X3,X1,X0))
| ~ number(sK3(X1,X0),X0,one)
| ~ string(X2,X1)
| ~ '$ki_exists_in_world_$i'(X2,X1)
| ~ entry_box(X2,X0)
| ~ '$ki_exists_in_world_$i'(sK2,X0)
| ~ entry_box(sK3(X1,X0),X0)
| ~ '$ki_exists_in_world_$i'(sK2,X3) ),
inference(duplicate_literal_removal,[],[f86]) ).
tff(f86,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i] :
( ~ '$ki_accessible'(X2,sK4(X1,X0,sK1(X2,X3,X1,X0),X3))
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ entry_box(sK3(X1,X0),X0)
| ~ '$ki_exists_in_world_$i'(sK4(X1,X0,sK1(X2,X3,X1,X0),X3),sK5(X1,X0,sK1(X2,X3,X1,X0),X3))
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X0)
| ~ userid(sK3(X1,X0),u,X1)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ userid(sK3(X1,X0),u,X1)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X2,X3,X1,X0))
| ~ entry_box(sK3(X1,X0),X0)
| ~ entry_box(X2,X0)
| ~ '$ki_exists_in_world_$i'(X2,X0)
| ~ '$ki_exists_in_world_$i'(X2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X2,X3,X1,X0))
| ~ number(sK3(X1,X0),X0,one)
| ~ '$ki_exists_in_world_$i'(sK2,X0)
| ~ string(X2,X1)
| ~ number(sK3(X1,X0),X0,one) ),
inference(resolution,[],[f70,f50]) ).
tff(f50,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ in(sK4(X1,X2,X3,X4),X1,X2,sK5(X1,X2,X3,X4))
| ~ entry_box(sK3(X1,X2),X2)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ number(sK3(X1,X2),X2,one)
| ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_exists_in_world_$i'(sK2,X4) ),
inference(cnf_transformation,[],[f34]) ).
tff(f70,plain,
! [X2: $i,X3: '$ki_world',X0: $i,X1: $i,X4: $i,X5: $i] :
( in(sK4(X0,X1,sK1(X3,X2,X4,X5),X2),X4,X5,sK5(X0,X1,sK1(X3,X2,X4,X5),X2))
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ entry_box(sK3(X0,X1),X1)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ string(X3,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_exists_in_world_$i'(X3,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X0)
| ~ '$ki_exists_in_world_$i'(X3,X5)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X3,X2,X4,X5))
| ~ '$ki_exists_in_world_$i'(X3,X2)
| ~ '$ki_accessible'(X3,sK4(X0,X1,sK1(X3,X2,X4,X5),X2))
| ~ entry_box(X3,X5)
| ~ number(sK3(X0,X1),X1,one)
| ~ userid(sK3(X0,X1),u,X0)
| ~ '$ki_exists_in_world_$i'(sK4(X0,X1,sK1(X3,X2,X4,X5),X2),sK5(X0,X1,sK1(X3,X2,X4,X5),X2)) ),
inference(resolution,[],[f49,f42]) ).
tff(f42,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( ~ do(X5,X1,sK1(X0,X1,X2,X3),X6)
| ~ entry_box(X0,X3)
| ~ string(X0,X2)
| ~ '$ki_accessible'(X0,X5)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| ~ '$ki_exists_in_world_$i'(X0,X2)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_exists_in_world_$i'(X0,X3)
| in(X5,X2,X3,X6) ),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ! [X2] :
( ~ '$ki_exists_in_world_$i'(X0,X2)
| ! [X3] :
( ( '$ki_exists_in_world_$i'(X0,sK1(X0,X1,X2,X3))
& ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X0,X5)
| ! [X6] :
( ~ do(X5,X1,sK1(X0,X1,X2,X3),X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| in(X5,X2,X3,X6) ) ) )
| ~ entry_box(X0,X3)
| ~ string(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X3) ) ) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f20,f28]) ).
tff(f28,plain,
! [X0: '$ki_world',X1,X2,X3] :
( ? [X4] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X0,X5)
| ! [X6] :
( ~ do(X5,X1,X4,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| in(X5,X2,X3,X6) ) ) )
=> ( '$ki_exists_in_world_$i'(X0,sK1(X0,X1,X2,X3))
& ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X0,X5)
| ! [X6] :
( ~ do(X5,X1,sK1(X0,X1,X2,X3),X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| in(X5,X2,X3,X6) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ! [X2] :
( ~ '$ki_exists_in_world_$i'(X0,X2)
| ! [X3] :
( ? [X4] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X0,X5)
| ! [X6] :
( ~ do(X5,X1,X4,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| in(X5,X2,X3,X6) ) ) )
| ~ entry_box(X0,X3)
| ~ string(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X3) ) ) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ? [X4] :
( ! [X5: '$ki_world'] :
( ! [X6] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,X4,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,X4) )
| ~ entry_box(X0,X3)
| ~ string(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ! [X2] :
( '$ki_exists_in_world_$i'(X0,X2)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
=> ( ( entry_box(X0,X3)
& string(X0,X2) )
=> ? [X4] :
( ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X6] :
( '$ki_exists_in_world_$i'(X5,X6)
=> ( do(X5,X1,X4,X6)
=> in(X5,X2,X3,X6) ) ) )
& '$ki_exists_in_world_$i'(X0,X4) ) ) ) ) ) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X7] :
( '$ki_exists_in_world_$i'(X0,X7)
=> ! [X4] :
( '$ki_exists_in_world_$i'(X0,X4)
=> ! [X6] :
( '$ki_exists_in_world_$i'(X0,X6)
=> ( ( string(X0,X4)
& entry_box(X0,X6) )
=> ? [X8] :
( '$ki_exists_in_world_$i'(X0,X8)
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X9] :
( '$ki_exists_in_world_$i'(X5,X9)
=> ( do(X5,X7,X8,X9)
=> in(X5,X4,X6,X9) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f49,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( do(sK4(X1,X2,X3,X4),X4,X3,sK5(X1,X2,X3,X4))
| ~ number(sK3(X1,X2),X2,one)
| ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ entry_box(sK3(X1,X2),X2)
| ~ '$ki_exists_in_world_$i'(sK2,X3) ),
inference(cnf_transformation,[],[f34]) ).
tff(f219,plain,
( ! [X2: $i,X3: $i] :
( '$ki_accessible'(sK2,sK4(sK7('$ki_local_world'),sK6,X3,X2))
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X2) )
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f218]) ).
tff(f281,plain,
~ spl8_7,
inference(avatar_contradiction_clause,[],[f278]) ).
tff(f278,plain,
( $false
| ~ spl8_7 ),
inference(resolution,[],[f134,f56]) ).
tff(f134,plain,
( ! [X2: $i] : ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f133]) ).
tff(f264,plain,
( ~ spl8_5
| ~ spl8_3
| spl8_17 ),
inference(avatar_split_clause,[],[f263,f214,f107,f115]) ).
tff(f263,plain,
( ~ '$ki_accessible'('$ki_local_world',sK2)
| ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| spl8_17 ),
inference(resolution,[],[f216,f58]) ).
tff(f58,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( string(X2,sK7(X0))
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f38]) ).
tff(f216,plain,
( ~ string(sK2,sK7('$ki_local_world'))
| spl8_17 ),
inference(avatar_component_clause,[],[f214]) ).
tff(f261,plain,
spl8_16,
inference(avatar_contradiction_clause,[],[f260]) ).
tff(f260,plain,
( $false
| spl8_16 ),
inference(resolution,[],[f212,f56]) ).
tff(f212,plain,
( ~ '$ki_exists_in_world_$i'(sK2,sK7('$ki_local_world'))
| spl8_16 ),
inference(avatar_component_clause,[],[f210]) ).
tff(f220,plain,
( ~ spl8_1
| ~ spl8_16
| ~ spl8_17
| ~ spl8_11
| ~ spl8_5
| spl8_18
| ~ spl8_8
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f208,f171,f136,f218,f115,f167,f214,f210,f73]) ).
tff(f171,plain,
( spl8_12
<=> ! [X2,X0: '$ki_world',X1] :
( ~ '$ki_exists_in_world_$i'(sK2,sK7(X0))
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| '$ki_accessible'(sK2,sK4(sK7(X0),sK6,X2,X1))
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ string(sK2,sK7(X0))
| ~ '$ki_accessible'(X0,sK3(sK7(X0),sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
tff(f208,plain,
( ! [X2: $i,X3: $i] :
( '$ki_accessible'(sK2,sK4(sK7('$ki_local_world'),sK6,X3,X2))
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ entry_box(sK2,sK6)
| ~ string(sK2,sK7('$ki_local_world'))
| ~ '$ki_exists_in_world_$i'(sK2,sK7('$ki_local_world'))
| ~ '$ki_exists_in_world_$i'(sK2,sK6) )
| ~ spl8_8
| ~ spl8_12 ),
inference(duplicate_literal_removal,[],[f202]) ).
tff(f202,plain,
( ! [X2: $i,X3: $i] :
( '$ki_accessible'(sK2,sK4(sK7('$ki_local_world'),sK6,X3,X2))
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,sK7('$ki_local_world'))
| ~ '$ki_exists_in_world_$i'(sK2,sK6)
| ~ entry_box(sK2,sK6)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ string(sK2,sK7('$ki_local_world'))
| ~ '$ki_exists_in_world_$i'(sK2,sK7('$ki_local_world'))
| ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ string(sK2,sK7('$ki_local_world')) )
| ~ spl8_8
| ~ spl8_12 ),
inference(resolution,[],[f172,f143]) ).
tff(f143,plain,
( ! [X0: $i,X1: $i] :
( '$ki_accessible'('$ki_local_world',sK3(X0,X1))
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ entry_box(sK2,X1)
| ~ string(sK2,X0)
| ~ '$ki_exists_in_world_$i'(sK2,X0) )
| ~ spl8_8 ),
inference(resolution,[],[f137,f60]) ).
tff(f172,plain,
( ! [X2: $i,X0: '$ki_world',X1: $i] :
( ~ '$ki_accessible'(X0,sK3(sK7(X0),sK6))
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| '$ki_accessible'(sK2,sK4(sK7(X0),sK6,X2,X1))
| ~ string(sK2,sK7(X0))
| ~ '$ki_exists_in_world_$i'(sK2,sK7(X0))
| ~ '$ki_exists_in_world_$i'(sK2,X2) )
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f171]) ).
tff(f175,plain,
( ~ spl8_3
| spl8_11 ),
inference(avatar_split_clause,[],[f174,f167,f107]) ).
tff(f174,plain,
( ~ '$ki_accessible'('$ki_local_world',sK2)
| spl8_11 ),
inference(resolution,[],[f169,f54]) ).
tff(f169,plain,
( ~ entry_box(sK2,sK6)
| spl8_11 ),
inference(avatar_component_clause,[],[f167]) ).
tff(f173,plain,
( ~ spl8_11
| ~ spl8_1
| spl8_12
| ~ spl8_2
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f165,f136,f77,f171,f73,f167]) ).
tff(f77,plain,
( spl8_2
<=> ! [X2,X0: '$ki_world',X1] :
( ~ '$ki_exists_in_world_$i'(sK2,sK7(X0))
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,sK3(sK7(X0),sK6))
| ~ entry_box(sK3(sK7(X0),sK6),sK6)
| '$ki_accessible'(sK2,sK4(sK7(X0),sK6,X1,X2))
| ~ '$ki_accessible'('$ki_local_world',sK3(sK7(X0),sK6))
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
tff(f165,plain,
( ! [X2: $i,X0: '$ki_world',X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK2,sK7(X0))
| ~ '$ki_exists_in_world_$i'(sK2,sK6)
| ~ entry_box(sK2,sK6)
| ~ '$ki_accessible'(X0,sK3(sK7(X0),sK6))
| ~ string(sK2,sK7(X0))
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| '$ki_accessible'(sK2,sK4(sK7(X0),sK6,X2,X1))
| ~ '$ki_exists_in_world_$i'(sK2,X1) )
| ~ spl8_2
| ~ spl8_8 ),
inference(duplicate_literal_removal,[],[f163]) ).
tff(f163,plain,
( ! [X2: $i,X0: '$ki_world',X1: $i] :
( ~ '$ki_accessible'(X0,sK3(sK7(X0),sK6))
| ~ entry_box(sK2,sK6)
| ~ '$ki_exists_in_world_$i'(sK2,sK7(X0))
| '$ki_accessible'(sK2,sK4(sK7(X0),sK6,X2,X1))
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(sK2,sK7(X0))
| ~ string(sK2,sK7(X0))
| ~ '$ki_exists_in_world_$i'(sK2,sK6) )
| ~ spl8_2
| ~ spl8_8 ),
inference(resolution,[],[f143,f91]) ).
tff(f91,plain,
( ! [X2: $i,X0: '$ki_world',X1: $i] :
( ~ '$ki_accessible'('$ki_local_world',sK3(sK7(X0),sK6))
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| '$ki_accessible'(sK2,sK4(sK7(X0),sK6,X1,X2))
| ~ '$ki_accessible'(X0,sK3(sK7(X0),sK6))
| ~ '$ki_exists_in_world_$i'(sK2,sK7(X0)) )
| ~ spl8_2 ),
inference(duplicate_literal_removal,[],[f90]) ).
tff(f90,plain,
( ! [X2: $i,X0: '$ki_world',X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_accessible'('$ki_local_world',sK3(sK7(X0),sK6))
| '$ki_accessible'(sK2,sK4(sK7(X0),sK6,X1,X2))
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_accessible'('$ki_local_world',sK3(sK7(X0),sK6))
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(sK2,sK7(X0))
| ~ '$ki_accessible'(X0,sK3(sK7(X0),sK6)) )
| ~ spl8_2 ),
inference(resolution,[],[f78,f54]) ).
tff(f78,plain,
( ! [X2: $i,X0: '$ki_world',X1: $i] :
( ~ entry_box(sK3(sK7(X0),sK6),sK6)
| '$ki_accessible'(sK2,sK4(sK7(X0),sK6,X1,X2))
| ~ '$ki_accessible'('$ki_local_world',sK3(sK7(X0),sK6))
| ~ '$ki_accessible'(X0,sK3(sK7(X0),sK6))
| ~ '$ki_exists_in_world_$i'(sK2,sK7(X0))
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_accessible'('$ki_local_world',X0) )
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f138,plain,
( spl8_7
| spl8_8
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f131,f111,f136,f133]) ).
tff(f111,plain,
( spl8_4
<=> ! [X4,X5,X3] :
( '$ki_accessible'(sK2,sK3(X3,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X5)
| ~ string(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2,X5,X3,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ entry_box(sK2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
tff(f131,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ entry_box(sK2,X0)
| '$ki_accessible'(sK2,sK3(X1,X0))
| ~ string(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X0) )
| ~ spl8_4 ),
inference(resolution,[],[f112,f56]) ).
tff(f112,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2,X5,X3,X4))
| ~ entry_box(sK2,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ string(sK2,X3)
| '$ki_accessible'(sK2,sK3(X3,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X5) )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f111]) ).
tff(f130,plain,
spl8_5,
inference(avatar_contradiction_clause,[],[f129]) ).
tff(f129,plain,
( $false
| spl8_5 ),
inference(resolution,[],[f117,f41]) ).
tff(f41,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(f117,plain,
( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| spl8_5 ),
inference(avatar_component_clause,[],[f115]) ).
tff(f128,plain,
spl8_3,
inference(avatar_contradiction_clause,[],[f127]) ).
tff(f127,plain,
( $false
| spl8_3 ),
inference(resolution,[],[f109,f52]) ).
tff(f109,plain,
( ~ '$ki_accessible'('$ki_local_world',sK2)
| spl8_3 ),
inference(avatar_component_clause,[],[f107]) ).
tff(f113,plain,
( ~ spl8_3
| spl8_4 ),
inference(avatar_split_clause,[],[f105,f111,f107]) ).
tff(f105,plain,
! [X3: $i,X4: $i,X5: $i] :
( '$ki_accessible'(sK2,sK3(X3,X4))
| ~ entry_box(sK2,X4)
| ~ '$ki_accessible'('$ki_local_world',sK2)
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2,X5,X3,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ string(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X5) ),
inference(duplicate_literal_removal,[],[f103]) ).
tff(f103,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2,X5,X3,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X5)
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ entry_box(sK2,X4)
| '$ki_accessible'(sK2,sK3(X3,X4))
| '$ki_accessible'(sK2,sK3(X3,X4))
| ~ string(sK2,X3)
| ~ '$ki_accessible'('$ki_local_world',sK2)
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X5)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2,X5,X3,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X5)
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X3) ),
inference(resolution,[],[f96,f47]) ).
tff(f47,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( '$ki_accessible'(sK2,sK4(X1,X2,X3,X4))
| '$ki_accessible'(sK2,sK3(X1,X2))
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X2) ),
inference(cnf_transformation,[],[f34]) ).
tff(f96,plain,
! [X6: $i,X7: $i,X4: '$ki_world',X5: $i] :
( ~ '$ki_accessible'(X4,sK4(X5,X6,sK1(X4,X7,X5,X6),X7))
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_exists_in_world_$i'(X4,X5)
| ~ entry_box(X4,X6)
| ~ '$ki_exists_in_world_$i'(X4,X6)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X4,X7,X5,X6))
| ~ string(X4,X5)
| '$ki_accessible'(sK2,sK3(X5,X6))
| ~ '$ki_exists_in_world_$i'(sK2,X7)
| ~ '$ki_exists_in_world_$i'(X4,X7)
| ~ '$ki_exists_in_world_$i'(sK2,X5)
| ~ '$ki_exists_in_world_$i'(sK2,X6) ),
inference(duplicate_literal_removal,[],[f93]) ).
tff(f93,plain,
! [X6: $i,X7: $i,X4: '$ki_world',X5: $i] :
( '$ki_accessible'(sK2,sK3(X5,X6))
| ~ '$ki_exists_in_world_$i'(sK2,X6)
| ~ '$ki_exists_in_world_$i'(X4,X7)
| ~ '$ki_exists_in_world_$i'(sK2,X5)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X4,X7,X5,X6))
| ~ entry_box(X4,X6)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X4,X7,X5,X6))
| ~ '$ki_exists_in_world_$i'(X4,X5)
| ~ '$ki_exists_in_world_$i'(sK2,X5)
| '$ki_accessible'(sK2,sK3(X5,X6))
| ~ '$ki_exists_in_world_$i'(X4,X6)
| ~ '$ki_exists_in_world_$i'(sK2,X7)
| ~ string(X4,X5)
| ~ '$ki_exists_in_world_$i'(sK2,X6)
| ~ '$ki_accessible'(X4,sK4(X5,X6,sK1(X4,X7,X5,X6),X7))
| ~ '$ki_exists_in_world_$i'(sK2,X7)
| ~ '$ki_accessible'('$ki_local_world',X4) ),
inference(resolution,[],[f84,f44]) ).
tff(f44,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( '$ki_exists_in_world_$i'(sK4(X1,X2,X3,X4),sK5(X1,X2,X3,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| '$ki_accessible'(sK2,sK3(X1,X2))
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_exists_in_world_$i'(sK2,X3) ),
inference(cnf_transformation,[],[f34]) ).
tff(f84,plain,
! [X6: $i,X7: $i,X4: $i,X5: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(sK4(X7,X4,sK1(X5,X6,X7,X4),X6),sK5(X7,X4,sK1(X5,X6,X7,X4),X6))
| ~ '$ki_exists_in_world_$i'(X5,X7)
| '$ki_accessible'(sK2,sK3(X7,X4))
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X5,X6,X7,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_accessible'(X5,sK4(X7,X4,sK1(X5,X6,X7,X4),X6))
| ~ '$ki_exists_in_world_$i'(X5,X4)
| ~ string(X5,X7)
| ~ entry_box(X5,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X7) ),
inference(duplicate_literal_removal,[],[f83]) ).
tff(f83,plain,
! [X6: $i,X7: $i,X4: $i,X5: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X7)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_exists_in_world_$i'(X5,X7)
| ~ '$ki_exists_in_world_$i'(sK2,X7)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X5,X6,X7,X4))
| ~ '$ki_exists_in_world_$i'(X5,X4)
| ~ '$ki_exists_in_world_$i'(sK4(X7,X4,sK1(X5,X6,X7,X4),X6),sK5(X7,X4,sK1(X5,X6,X7,X4),X6))
| ~ '$ki_exists_in_world_$i'(X5,X6)
| ~ '$ki_exists_in_world_$i'(sK2,X6)
| ~ string(X5,X7)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X5,X6,X7,X4))
| ~ '$ki_accessible'(X5,sK4(X7,X4,sK1(X5,X6,X7,X4),X6))
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ entry_box(X5,X4)
| '$ki_accessible'(sK2,sK3(X7,X4))
| '$ki_accessible'(sK2,sK3(X7,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X6) ),
inference(resolution,[],[f69,f46]) ).
tff(f46,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ in(sK4(X1,X2,X3,X4),X1,X2,sK5(X1,X2,X3,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| '$ki_accessible'(sK2,sK3(X1,X2))
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_exists_in_world_$i'(sK2,X2) ),
inference(cnf_transformation,[],[f34]) ).
tff(f69,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X4: $i,X5: $i] :
( in(sK4(X3,X4,sK1(X0,X5,X2,X1),X5),X2,X1,sK5(X3,X4,sK1(X0,X5,X2,X1),X5))
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(X0,X5)
| ~ '$ki_exists_in_world_$i'(sK2,sK1(X0,X5,X2,X1))
| ~ entry_box(X0,X1)
| '$ki_accessible'(sK2,sK3(X3,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ string(X0,X2)
| ~ '$ki_exists_in_world_$i'(sK2,X5)
| ~ '$ki_exists_in_world_$i'(X0,X2)
| ~ '$ki_exists_in_world_$i'(sK4(X3,X4,sK1(X0,X5,X2,X1),X5),sK5(X3,X4,sK1(X0,X5,X2,X1),X5))
| ~ '$ki_accessible'(X0,sK4(X3,X4,sK1(X0,X5,X2,X1),X5))
| ~ '$ki_exists_in_world_$i'(X0,X1) ),
inference(resolution,[],[f42,f45]) ).
tff(f45,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( do(sK4(X1,X2,X3,X4),X4,X3,sK5(X1,X2,X3,X4))
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| '$ki_accessible'(sK2,sK3(X1,X2))
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X2) ),
inference(cnf_transformation,[],[f34]) ).
tff(f81,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f80]) ).
tff(f80,plain,
( $false
| spl8_1 ),
inference(resolution,[],[f75,f56]) ).
tff(f75,plain,
( ~ '$ki_exists_in_world_$i'(sK2,sK6)
| spl8_1 ),
inference(avatar_component_clause,[],[f73]) ).
tff(f79,plain,
( ~ spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f71,f77,f73]) ).
tff(f71,plain,
! [X2: $i,X0: '$ki_world',X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK2,sK7(X0))
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_exists_in_world_$i'(sK2,sK6)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_accessible'('$ki_local_world',sK3(sK7(X0),sK6))
| '$ki_accessible'(sK2,sK4(sK7(X0),sK6,X1,X2))
| ~ entry_box(sK3(sK7(X0),sK6),sK6)
| ~ '$ki_accessible'(X0,sK3(sK7(X0),sK6))
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(resolution,[],[f68,f53]) ).
tff(f68,plain,
! [X2: $i,X3: $i,X0: $i,X1: '$ki_world'] :
( ~ number(sK3(sK7(X1),X2),X2,one)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ entry_box(sK3(sK7(X1),X2),X2)
| ~ '$ki_exists_in_world_$i'(sK2,sK7(X1))
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ '$ki_accessible'(X1,sK3(sK7(X1),X2))
| ~ '$ki_exists_in_world_$i'(sK2,X0)
| '$ki_accessible'(sK2,sK4(sK7(X1),X2,X3,X0)) ),
inference(resolution,[],[f51,f59]) ).
tff(f51,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X4)
| ~ number(sK3(X1,X2),X2,one)
| ~ '$ki_exists_in_world_$i'(sK2,X3)
| ~ '$ki_exists_in_world_$i'(sK2,X1)
| ~ '$ki_exists_in_world_$i'(sK2,X2)
| ~ entry_box(sK3(X1,X2),X2)
| '$ki_accessible'(sK2,sK4(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 22 12:24:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (594)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50 % (603)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (597)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (603)First to succeed.
% 0.20/0.51 % (604)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (598)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (602)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (605)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (615)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (606)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (592)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (622)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (596)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (603)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (603)------------------------------
% 0.20/0.53 % (603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (603)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (603)Memory used [KB]: 5756
% 0.20/0.53 % (603)Time elapsed: 0.109 s
% 0.20/0.53 % (603)Instructions burned: 10 (million)
% 0.20/0.53 % (603)------------------------------
% 0.20/0.53 % (603)------------------------------
% 0.20/0.53 % (591)Success in time 0.178 s
%------------------------------------------------------------------------------