%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP266_4 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:09:45 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 122 ( 13 unt; 0 typ; 4 def)
% Number of atoms : 700 ( 0 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 666 ( 285 ~; 296 |; 54 &)
% ( 4 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 197 ( 197 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 8 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 338 ( 0 sgn 311 !; 27 ?; 338 :)
% 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' > $i ).
tff(func_def_6,type,
sK3: ( '$ki_world' * $i * $i * $i ) > $i ).
tff(func_def_7,type,
sK4: '$ki_world' ).
tff(func_def_8,type,
sK5: ( $i * $i ) > '$ki_world' ).
tff(func_def_9,type,
sK6: ( $i * $i * $i * $i ) > '$ki_world' ).
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 ) > $o ).
tff(f1,axiom,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(f2,axiom,
! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
( ( '$ki_accessible'(X0,X1)
& '$ki_accessible'(X1,X2) )
=> '$ki_accessible'(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive) ).
tff(f3,axiom,
! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
tff(f5,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1: $i] :
( '$ki_exists_in_world_$i'(X0,X1)
& ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> ( userid(X2,u,X1)
& string(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f6,axiom,
? [X0: $i] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( entry_box(X1,X0)
& number(X1,X0,one) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f7,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: $i] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ! [X2: $i] :
( '$ki_exists_in_world_$i'(X0,X2)
=> ! [X3: $i] :
( '$ki_exists_in_world_$i'(X0,X3)
=> ( ( string(X0,X2)
& entry_box(X0,X3) )
=> ? [X4: $i] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X6: $i] :
( '$ki_exists_in_world_$i'(X5,X6)
=> ( do(X5,X1,X4,X6)
=> in(X5,X2,X3,X6) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f8,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1: $i] :
( '$ki_exists_in_world_$i'(X0,X1)
& ? [X2: $i] :
( '$ki_exists_in_world_$i'(X0,X2)
& ? [X3: $i] :
( '$ki_exists_in_world_$i'(X0,X3)
& ? [X4: $i] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ( userid(X5,u,X1)
& entry_box(X5,X2)
& number(X5,X2,one) ) )
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X6: $i] :
( '$ki_exists_in_world_$i'(X5,X6)
=> ( do(X5,X4,X3,X6)
=> in(X5,X1,X2,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f9,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1: $i] :
( '$ki_exists_in_world_$i'(X0,X1)
& ? [X2: $i] :
( '$ki_exists_in_world_$i'(X0,X2)
& ? [X3: $i] :
( '$ki_exists_in_world_$i'(X0,X3)
& ? [X4: $i] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ( userid(X5,u,X1)
& entry_box(X5,X2)
& number(X5,X2,one) ) )
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X6: $i] :
( '$ki_exists_in_world_$i'(X5,X6)
=> ( do(X5,X4,X3,X6)
=> in(X5,X1,X2,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
tff(f10,plain,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1: $i] :
( '$ki_exists_in_world_$i'(X0,X1)
& ? [X2: $i] :
( '$ki_exists_in_world_$i'(X0,X2)
& ? [X3: $i] :
( '$ki_exists_in_world_$i'(X0,X3)
& ? [X4: $i] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ( userid(X5,u,X1)
& entry_box(X5,X2)
& number(X5,X2,one) ) )
& ! [X6: '$ki_world'] :
( '$ki_accessible'(X0,X6)
=> ! [X7: $i] :
( '$ki_exists_in_world_$i'(X6,X7)
=> ( do(X6,X4,X3,X7)
=> in(X6,X1,X2,X7) ) ) ) ) ) ) ) ),
inference(rectify,[],[f9]) ).
tff(f11,plain,
! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'(X0,X1)
| ~ '$ki_accessible'(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
tff(f12,plain,
! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'(X0,X1)
| ~ '$ki_accessible'(X1,X2) ),
inference(flattening,[],[f11]) ).
tff(f13,plain,
! [X0: '$ki_world'] :
( ? [X1: $i] :
( '$ki_exists_in_world_$i'(X0,X1)
& ! [X2: '$ki_world'] :
( ( userid(X2,u,X1)
& string(X2,X1) )
| ~ '$ki_accessible'(X0,X2) ) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f14,plain,
? [X0: $i] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
& ! [X1: '$ki_world'] :
( ( entry_box(X1,X0)
& number(X1,X0,one) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f15,plain,
! [X0: '$ki_world'] :
( ! [X1: $i] :
( ! [X2: $i] :
( ! [X3: $i] :
( ? [X4: $i] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( ! [X6: $i] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,X4,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) ) )
| ~ string(X0,X2)
| ~ entry_box(X0,X3)
| ~ '$ki_exists_in_world_$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,[],[f7]) ).
tff(f16,plain,
! [X0: '$ki_world'] :
( ! [X1: $i] :
( ! [X2: $i] :
( ! [X3: $i] :
( ? [X4: $i] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( ! [X6: $i] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,X4,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) ) )
| ~ string(X0,X2)
| ~ entry_box(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f15]) ).
tff(f17,plain,
? [X0: '$ki_world'] :
( ! [X1: $i] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ! [X2: $i] :
( ~ '$ki_exists_in_world_$i'(X0,X2)
| ! [X3: $i] :
( ~ '$ki_exists_in_world_$i'(X0,X3)
| ! [X4: $i] :
( ~ '$ki_exists_in_world_$i'(X0,X4)
| ? [X5: '$ki_world'] :
( ( ~ userid(X5,u,X1)
| ~ entry_box(X5,X2)
| ~ number(X5,X2,one) )
& '$ki_accessible'(X0,X5) )
| ? [X6: '$ki_world'] :
( ? [X7: $i] :
( ~ in(X6,X1,X2,X7)
& do(X6,X4,X3,X7)
& '$ki_exists_in_world_$i'(X6,X7) )
& '$ki_accessible'(X0,X6) ) ) ) ) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f18,plain,
? [X0: '$ki_world'] :
( ! [X1: $i] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ! [X2: $i] :
( ~ '$ki_exists_in_world_$i'(X0,X2)
| ! [X3: $i] :
( ~ '$ki_exists_in_world_$i'(X0,X3)
| ! [X4: $i] :
( ~ '$ki_exists_in_world_$i'(X0,X4)
| ? [X5: '$ki_world'] :
( ( ~ userid(X5,u,X1)
| ~ entry_box(X5,X2)
| ~ number(X5,X2,one) )
& '$ki_accessible'(X0,X5) )
| ? [X6: '$ki_world'] :
( ? [X7: $i] :
( ~ in(X6,X1,X2,X7)
& do(X6,X4,X3,X7)
& '$ki_exists_in_world_$i'(X6,X7) )
& '$ki_accessible'(X0,X6) ) ) ) ) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f17]) ).
tff(f20,plain,
! [X0: '$ki_world'] :
( ( '$ki_exists_in_world_$i'(X0,sK1(X0))
& ! [X2: '$ki_world'] :
( ( userid(X2,u,sK1(X0))
& string(X2,sK1(X0)) )
| ~ '$ki_accessible'(X0,X2) ) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f13]) ).
tff(f21,plain,
( '$ki_exists_in_world_$i'('$ki_local_world',sK2)
& ! [X1: '$ki_world'] :
( ( entry_box(X1,sK2)
& number(X1,sK2,one) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f14]) ).
tff(f22,plain,
! [X0: '$ki_world'] :
( ! [X1: $i] :
( ! [X2: $i] :
( ! [X3: $i] :
( ( '$ki_exists_in_world_$i'(X0,sK3(X0,X1,X2,X3))
& ! [X5: '$ki_world'] :
( ! [X6: $i] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) ) )
| ~ string(X0,X2)
| ~ entry_box(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X4,sK3(X0,X1,X2,X3))],[f16]) ).
tff(f23,plain,
( ! [X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X1)
| ! [X2: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X2)
| ! [X3: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X3)
| ! [X4: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X4)
| ( ( ~ userid(sK5(X1,X2),u,X1)
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one) )
& '$ki_accessible'(sK4,sK5(X1,X2)) )
| ( ~ in(sK6(X1,X2,X3,X4),X1,X2,sK7(X1,X2,X3,X4))
& do(sK6(X1,X2,X3,X4),X4,X3,sK7(X1,X2,X3,X4))
& '$ki_exists_in_world_$i'(sK6(X1,X2,X3,X4),sK7(X1,X2,X3,X4))
& '$ki_accessible'(sK4,sK6(X1,X2,X3,X4)) ) ) ) ) )
& '$ki_accessible'('$ki_local_world',sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X5,sK5(X1,X2)),skolemize(X6,sK6(X1,X2,X3,X4)),skolemize(X7,sK7(X1,X2,X3,X4))],[f18]) ).
tff(f24,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tff(f25,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X0,X1)
| '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'(X1,X2) ),
inference(cnf_transformation,[],[f12]) ).
tff(f26,plain,
! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
inference(cnf_transformation,[],[f3]) ).
tff(f28,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| string(X2,sK1(X0))
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f20]) ).
tff(f29,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| userid(X2,u,sK1(X0))
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f20]) ).
tff(f31,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| number(X1,sK2,one) ),
inference(cnf_transformation,[],[f21]) ).
tff(f32,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| entry_box(X1,sK2) ),
inference(cnf_transformation,[],[f21]) ).
tff(f34,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(X5,X6)
| ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
| in(X5,X2,X3,X6)
| ~ '$ki_accessible'(X0,X5)
| ~ string(X0,X2)
| ~ entry_box(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f22]) ).
tff(f36,plain,
'$ki_accessible'('$ki_local_world',sK4),
inference(cnf_transformation,[],[f23]) ).
tff(f37,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| '$ki_accessible'(sK4,sK5(X1,X2))
| '$ki_accessible'(sK4,sK6(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f23]) ).
tff(f39,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| '$ki_accessible'(sK4,sK5(X1,X2))
| do(sK6(X1,X2,X3,X4),X4,X3,sK7(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f23]) ).
tff(f40,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| '$ki_accessible'(sK4,sK5(X1,X2))
| ~ in(sK6(X1,X2,X3,X4),X1,X2,sK7(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f23]) ).
tff(f41,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| ~ userid(sK5(X1,X2),u,X1)
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one)
| '$ki_accessible'(sK4,sK6(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f23]) ).
tff(f43,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| ~ userid(sK5(X1,X2),u,X1)
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one)
| do(sK6(X1,X2,X3,X4),X4,X3,sK7(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f23]) ).
tff(f44,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| ~ userid(sK5(X1,X2),u,X1)
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one)
| ~ in(sK6(X1,X2,X3,X4),X1,X2,sK7(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f23]) ).
tff(f45,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| '$ki_accessible'(sK4,sK5(X3,X0))
| ~ in(sK6(X3,X0,X1,X2),X3,X0,sK7(X3,X0,X1,X2)) ),
inference(resolution,[],[f26,f40]) ).
tff(f46,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| '$ki_accessible'(sK4,sK5(X3,X0))
| do(sK6(X3,X0,X1,X2),X2,X1,sK7(X3,X0,X1,X2)) ),
inference(resolution,[],[f26,f39]) ).
tff(f48,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| '$ki_accessible'(sK4,sK5(X3,X0))
| '$ki_accessible'(sK4,sK6(X3,X0,X1,X2)) ),
inference(resolution,[],[f26,f37]) ).
tff(f49,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| '$ki_accessible'(sK4,sK5(X3,X0))
| '$ki_accessible'(sK4,sK6(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f48,f26]) ).
tff(f50,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| '$ki_accessible'(sK4,sK5(X3,X0))
| do(sK6(X3,X0,X1,X2),X2,X1,sK7(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f46,f26]) ).
tff(f51,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| '$ki_accessible'(sK4,sK5(X3,X0))
| ~ in(sK6(X3,X0,X1,X2),X3,X0,sK7(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f45,f26]) ).
tff(f52,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| '$ki_accessible'(sK4,sK5(X3,X0))
| '$ki_accessible'(sK4,sK6(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f49,f26]) ).
tff(f53,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| '$ki_accessible'(sK4,sK5(X3,X0))
| do(sK6(X3,X0,X1,X2),X2,X1,sK7(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f50,f26]) ).
tff(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| '$ki_accessible'(sK4,sK5(X3,X0))
| ~ in(sK6(X3,X0,X1,X2),X3,X0,sK7(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f51,f26]) ).
tff(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( '$ki_accessible'(sK4,sK5(X3,X0))
| '$ki_accessible'(sK4,sK6(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f52,f26]) ).
tff(f56,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( '$ki_accessible'(sK4,sK5(X3,X0))
| do(sK6(X3,X0,X1,X2),X2,X1,sK7(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f53,f26]) ).
tff(f57,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ in(sK6(X3,X0,X1,X2),X3,X0,sK7(X3,X0,X1,X2))
| '$ki_accessible'(sK4,sK5(X3,X0)) ),
inference(forward_subsumption_resolution,[],[f54,f26]) ).
tff(f58,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ userid(sK5(X3,X0),u,X3)
| ~ entry_box(sK5(X3,X0),X0)
| ~ number(sK5(X3,X0),X0,one)
| '$ki_accessible'(sK4,sK6(X3,X0,X1,X2)) ),
inference(resolution,[],[f41,f26]) ).
tff(f59,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ userid(sK5(X3,X0),u,X3)
| ~ entry_box(sK5(X3,X0),X0)
| ~ number(sK5(X3,X0),X0,one)
| '$ki_accessible'(sK4,sK6(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f58,f26]) ).
tff(f60,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ userid(sK5(X3,X0),u,X3)
| ~ entry_box(sK5(X3,X0),X0)
| ~ number(sK5(X3,X0),X0,one)
| '$ki_accessible'(sK4,sK6(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f59,f26]) ).
tff(f61,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ entry_box(sK5(X3,X0),X0)
| ~ userid(sK5(X3,X0),u,X3)
| ~ number(sK5(X3,X0),X0,one)
| '$ki_accessible'(sK4,sK6(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f60,f26]) ).
tff(f69,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ userid(sK5(X3,X0),u,X3)
| ~ entry_box(sK5(X3,X0),X0)
| ~ number(sK5(X3,X0),X0,one)
| do(sK6(X3,X0,X1,X2),X2,X1,sK7(X3,X0,X1,X2)) ),
inference(resolution,[],[f43,f26]) ).
tff(f72,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ userid(sK5(X3,X0),u,X3)
| ~ entry_box(sK5(X3,X0),X0)
| ~ number(sK5(X3,X0),X0,one)
| do(sK6(X3,X0,X1,X2),X2,X1,sK7(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f69,f26]) ).
tff(f74,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ userid(sK5(X3,X0),u,X3)
| ~ entry_box(sK5(X3,X0),X0)
| ~ number(sK5(X3,X0),X0,one)
| do(sK6(X3,X0,X1,X2),X2,X1,sK7(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f72,f26]) ).
tff(f76,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ entry_box(sK5(X3,X0),X0)
| ~ userid(sK5(X3,X0),u,X3)
| ~ number(sK5(X3,X0),X0,one)
| do(sK6(X3,X0,X1,X2),X2,X1,sK7(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f74,f26]) ).
tff(f77,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ userid(sK5(X3,X0),u,X3)
| ~ entry_box(sK5(X3,X0),X0)
| ~ number(sK5(X3,X0),X0,one)
| ~ in(sK6(X3,X0,X1,X2),X3,X0,sK7(X3,X0,X1,X2)) ),
inference(resolution,[],[f44,f26]) ).
tff(f80,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ userid(sK5(X3,X0),u,X3)
| ~ entry_box(sK5(X3,X0),X0)
| ~ number(sK5(X3,X0),X0,one)
| ~ in(sK6(X3,X0,X1,X2),X3,X0,sK7(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f77,f26]) ).
tff(f82,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ userid(sK5(X3,X0),u,X3)
| ~ entry_box(sK5(X3,X0),X0)
| ~ number(sK5(X3,X0),X0,one)
| ~ in(sK6(X3,X0,X1,X2),X3,X0,sK7(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f80,f26]) ).
tff(f84,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ entry_box(sK5(X3,X0),X0)
| ~ userid(sK5(X3,X0),u,X3)
| ~ number(sK5(X3,X0),X0,one)
| ~ in(sK6(X3,X0,X1,X2),X3,X0,sK7(X3,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f82,f26]) ).
tff(f85,plain,
entry_box(sK4,sK2),
inference(resolution,[],[f32,f36]) ).
tff(f91,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'(sK4,X0)
| '$ki_accessible'('$ki_local_world',X0) ),
inference(resolution,[],[f25,f36]) ).
tff(f96,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( '$ki_accessible'('$ki_local_world',sK5(X0,X1))
| do(sK6(X0,X1,X2,X3),X3,X2,sK7(X0,X1,X2,X3)) ),
inference(resolution,[],[f91,f56]) ).
tff(f100,plain,
( string(sK4,sK1('$ki_local_world'))
| ~ '$ki_accessible'('$ki_local_world','$ki_local_world') ),
inference(resolution,[],[f28,f36]) ).
tff(f108,plain,
string(sK4,sK1('$ki_local_world')),
inference(forward_subsumption_resolution,[],[f100,f24]) ).
tff(f128,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: $i,X5: $i] :
( ~ do(X0,X1,sK3(X2,X1,X3,X4),X5)
| in(X0,X3,X4,X5)
| ~ '$ki_accessible'(X2,X0)
| ~ string(X2,X3)
| ~ entry_box(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_exists_in_world_$i'(X2,X1)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(resolution,[],[f34,f26]) ).
tff(f133,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: $i,X5: $i] :
( ~ do(X0,X1,sK3(X2,X1,X3,X4),X5)
| in(X0,X3,X4,X5)
| ~ '$ki_accessible'(X2,X0)
| ~ string(X2,X3)
| ~ entry_box(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(forward_subsumption_resolution,[],[f128,f26]) ).
tff(f136,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: $i,X5: $i] :
( ~ do(X0,X1,sK3(X2,X1,X3,X4),X5)
| in(X0,X3,X4,X5)
| ~ '$ki_accessible'(X2,X0)
| ~ string(X2,X3)
| ~ entry_box(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X4)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(forward_subsumption_resolution,[],[f133,f26]) ).
tff(f139,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: $i,X5: $i] :
( ~ entry_box(X2,X4)
| in(X0,X3,X4,X5)
| ~ '$ki_accessible'(X2,X0)
| ~ string(X2,X3)
| ~ do(X0,X1,sK3(X2,X1,X3,X4),X5)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(forward_subsumption_resolution,[],[f136,f26]) ).
tff(f210,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
( in(X0,X1,sK2,X2)
| ~ '$ki_accessible'(sK4,X0)
| ~ string(sK4,X1)
| ~ do(X0,X3,sK3(sK4,X3,X1,sK2),X2)
| ~ '$ki_accessible'('$ki_local_world',sK4) ),
inference(resolution,[],[f139,f85]) ).
tff(f215,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
( ~ string(sK4,X1)
| ~ '$ki_accessible'(sK4,X0)
| in(X0,X1,sK2,X2)
| ~ do(X0,X3,sK3(sK4,X3,X1,sK2),X2) ),
inference(forward_subsumption_resolution,[],[f210,f36]) ).
tff(f259,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( number(sK5(X0,X1),sK2,one)
| do(sK6(X0,X1,X2,X3),X3,X2,sK7(X0,X1,X2,X3)) ),
inference(resolution,[],[f96,f31]) ).
tff(f261,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( entry_box(sK5(X0,X1),sK2)
| do(sK6(X0,X1,X2,X3),X3,X2,sK7(X0,X1,X2,X3)) ),
inference(resolution,[],[f96,f32]) ).
tff(f262,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( do(sK6(X0,X1,X2,X3),X3,X2,sK7(X0,X1,X2,X3))
| userid(sK5(X0,X1),u,sK1('$ki_local_world'))
| ~ '$ki_accessible'('$ki_local_world','$ki_local_world') ),
inference(resolution,[],[f96,f29]) ).
tff(f266,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( userid(sK5(X0,X1),u,sK1('$ki_local_world'))
| do(sK6(X0,X1,X2,X3),X3,X2,sK7(X0,X1,X2,X3)) ),
inference(forward_subsumption_resolution,[],[f262,f24]) ).
tff(f287,plain,
! [X2: $i,X0: '$ki_world',X1: $i] :
( ~ '$ki_accessible'(sK4,X0)
| in(X0,sK1('$ki_local_world'),sK2,X1)
| ~ do(X0,X2,sK3(sK4,X2,sK1('$ki_local_world'),sK2),X1) ),
inference(resolution,[],[f215,f108]) ).
tff(f386,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( do(sK6(X0,sK2,X1,X2),X2,X1,sK7(X0,sK2,X1,X2))
| ~ userid(sK5(X0,sK2),u,X0)
| ~ number(sK5(X0,sK2),sK2,one)
| do(sK6(X0,sK2,X3,X4),X4,X3,sK7(X0,sK2,X3,X4)) ),
inference(resolution,[],[f261,f76]) ).
tff(f397,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ userid(sK5(X0,sK2),u,X0)
| do(sK6(X0,sK2,X1,X2),X2,X1,sK7(X0,sK2,X1,X2))
| do(sK6(X0,sK2,X3,X4),X4,X3,sK7(X0,sK2,X3,X4)) ),
inference(forward_subsumption_resolution,[],[f386,f259]) ).
tff(f405,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ do(sK6(X0,X1,X2,X3),X5,sK3(sK4,X5,sK1('$ki_local_world'),sK2),X4)
| in(sK6(X0,X1,X2,X3),sK1('$ki_local_world'),sK2,X4)
| '$ki_accessible'(sK4,sK5(X0,X1)) ),
inference(resolution,[],[f287,f55]) ).
tff(f468,definition,
( spl8_9
<=> ! [X4: $i,X5: $i] : do(sK6(sK1('$ki_local_world'),sK2,X4,X5),X5,X4,sK7(sK1('$ki_local_world'),sK2,X4,X5)) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
tff(f469,plain,
( ! [X4: $i,X5: $i] : do(sK6(sK1('$ki_local_world'),sK2,X4,X5),X5,X4,sK7(sK1('$ki_local_world'),sK2,X4,X5))
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f468]) ).
tff(f471,definition,
( spl8_10
<=> ! [X2: $i,X3: $i] : '$ki_accessible'(sK4,sK6(sK1('$ki_local_world'),sK2,X2,X3)) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
tff(f472,plain,
( ! [X2: $i,X3: $i] : '$ki_accessible'(sK4,sK6(sK1('$ki_local_world'),sK2,X2,X3))
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f471]) ).
tff(f535,definition,
( spl8_22
<=> '$ki_accessible'('$ki_local_world',sK5(sK1('$ki_local_world'),sK2)) ),
introduced(definition,[new_symbols(definition,[spl8_22])],[avatar_definition]) ).
tff(f536,plain,
( ~ '$ki_accessible'('$ki_local_world',sK5(sK1('$ki_local_world'),sK2))
| spl8_22 ),
inference(avatar_component_clause,[],[f535]) ).
tff(f537,plain,
( '$ki_accessible'('$ki_local_world',sK5(sK1('$ki_local_world'),sK2))
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f535]) ).
tff(f543,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ do(sK6(sK1('$ki_local_world'),sK2,X0,X1),X3,sK3(sK4,X3,sK1('$ki_local_world'),sK2),X2)
| in(sK6(sK1('$ki_local_world'),sK2,X0,X1),sK1('$ki_local_world'),sK2,X2) )
| ~ spl8_10 ),
inference(resolution,[],[f472,f287]) ).
tff(f607,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( do(sK6(sK1('$ki_local_world'),sK2,X0,X1),X1,X0,sK7(sK1('$ki_local_world'),sK2,X0,X1))
| do(sK6(sK1('$ki_local_world'),sK2,X2,X3),X3,X2,sK7(sK1('$ki_local_world'),sK2,X2,X3))
| do(sK6(sK1('$ki_local_world'),sK2,X4,X5),X5,X4,sK7(sK1('$ki_local_world'),sK2,X4,X5)) ),
inference(resolution,[],[f397,f266]) ).
tff(f608,plain,
( spl8_9
| spl8_9
| spl8_9 ),
inference(avatar_split_clause,[],[f607,f468,f468,f468]) ).
tff(f635,plain,
( entry_box(sK5(sK1('$ki_local_world'),sK2),sK2)
| ~ spl8_22 ),
inference(resolution,[],[f537,f32]) ).
tff(f764,plain,
( ! [X0: $i] :
( in(sK6(sK1('$ki_local_world'),sK2,sK3(sK4,X0,sK1('$ki_local_world'),sK2),X0),sK1('$ki_local_world'),sK2,sK7(sK1('$ki_local_world'),sK2,sK3(sK4,X0,sK1('$ki_local_world'),sK2),X0))
| '$ki_accessible'(sK4,sK5(sK1('$ki_local_world'),sK2)) )
| ~ spl8_9 ),
inference(resolution,[],[f469,f405]) ).
tff(f773,definition,
( spl8_40
<=> '$ki_accessible'(sK4,sK5(sK1('$ki_local_world'),sK2)) ),
introduced(definition,[new_symbols(definition,[spl8_40])],[avatar_definition]) ).
tff(f775,plain,
( '$ki_accessible'(sK4,sK5(sK1('$ki_local_world'),sK2))
| ~ spl8_40 ),
inference(avatar_component_clause,[],[f773]) ).
tff(f785,plain,
( '$ki_accessible'(sK4,sK5(sK1('$ki_local_world'),sK2))
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f764,f57]) ).
tff(f788,plain,
( spl8_40
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f785,f468,f773]) ).
tff(f798,plain,
( number(sK5(sK1('$ki_local_world'),sK2),sK2,one)
| ~ spl8_22 ),
inference(resolution,[],[f537,f31]) ).
tff(f801,plain,
( userid(sK5(sK1('$ki_local_world'),sK2),u,sK1('$ki_local_world'))
| ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ spl8_22 ),
inference(resolution,[],[f537,f29]) ).
tff(f805,plain,
( userid(sK5(sK1('$ki_local_world'),sK2),u,sK1('$ki_local_world'))
| ~ spl8_22 ),
inference(forward_subsumption_resolution,[],[f801,f24]) ).
tff(f827,plain,
( '$ki_accessible'('$ki_local_world',sK5(sK1('$ki_local_world'),sK2))
| ~ spl8_40 ),
inference(resolution,[],[f775,f91]) ).
tff(f869,plain,
( ! [X0: $i,X1: $i] :
( ~ userid(sK5(sK1('$ki_local_world'),sK2),u,sK1('$ki_local_world'))
| ~ number(sK5(sK1('$ki_local_world'),sK2),sK2,one)
| ~ in(sK6(sK1('$ki_local_world'),sK2,X0,X1),sK1('$ki_local_world'),sK2,sK7(sK1('$ki_local_world'),sK2,X0,X1)) )
| ~ spl8_22 ),
inference(resolution,[],[f635,f84]) ).
tff(f871,plain,
( ! [X0: $i,X1: $i] :
( ~ userid(sK5(sK1('$ki_local_world'),sK2),u,sK1('$ki_local_world'))
| ~ number(sK5(sK1('$ki_local_world'),sK2),sK2,one)
| '$ki_accessible'(sK4,sK6(sK1('$ki_local_world'),sK2,X0,X1)) )
| ~ spl8_22 ),
inference(resolution,[],[f635,f61]) ).
tff(f878,plain,
( ! [X0: $i,X1: $i] :
( ~ number(sK5(sK1('$ki_local_world'),sK2),sK2,one)
| ~ in(sK6(sK1('$ki_local_world'),sK2,X0,X1),sK1('$ki_local_world'),sK2,sK7(sK1('$ki_local_world'),sK2,X0,X1)) )
| ~ spl8_22 ),
inference(forward_subsumption_resolution,[],[f869,f805]) ).
tff(f880,plain,
( ! [X0: $i,X1: $i] : ~ in(sK6(sK1('$ki_local_world'),sK2,X0,X1),sK1('$ki_local_world'),sK2,sK7(sK1('$ki_local_world'),sK2,X0,X1))
| ~ spl8_22 ),
inference(forward_subsumption_resolution,[],[f878,f798]) ).
tff(f1220,plain,
( ! [X0: $i] : in(sK6(sK1('$ki_local_world'),sK2,sK3(sK4,X0,sK1('$ki_local_world'),sK2),X0),sK1('$ki_local_world'),sK2,sK7(sK1('$ki_local_world'),sK2,sK3(sK4,X0,sK1('$ki_local_world'),sK2),X0))
| ~ spl8_9
| ~ spl8_10 ),
inference(resolution,[],[f543,f469]) ).
tff(f1221,plain,
( $false
| ~ spl8_9
| ~ spl8_10
| ~ spl8_22 ),
inference(forward_subsumption_resolution,[],[f1220,f880]) ).
tff(f1222,plain,
( ~ spl8_9
| ~ spl8_10
| ~ spl8_22 ),
inference(avatar_contradiction_clause,[],[f1221]) ).
tff(f1223,plain,
( ! [X0: $i,X1: $i] :
( ~ number(sK5(sK1('$ki_local_world'),sK2),sK2,one)
| '$ki_accessible'(sK4,sK6(sK1('$ki_local_world'),sK2,X0,X1)) )
| ~ spl8_22 ),
inference(forward_subsumption_resolution,[],[f871,f805]) ).
tff(f1246,plain,
( ! [X0: $i,X1: $i] : '$ki_accessible'(sK4,sK6(sK1('$ki_local_world'),sK2,X0,X1))
| ~ spl8_22 ),
inference(forward_subsumption_resolution,[],[f1223,f798]) ).
tff(f1247,plain,
( spl8_10
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f1246,f535,f471]) ).
tff(f1249,plain,
( $false
| spl8_22
| ~ spl8_40 ),
inference(forward_subsumption_resolution,[],[f827,f536]) ).
tff(f1250,plain,
( spl8_22
| ~ spl8_40 ),
inference(avatar_contradiction_clause,[],[f1249]) ).
cnf(s25,plain,
( spl8_9
| spl8_9
| spl8_9 ),
inference(sat_conversion,[],[f608]) ).
cnf(s26,plain,
spl8_9,
inference(rat,[],[s25]) ).
cnf(s44,plain,
( ~ spl8_9
| spl8_40 ),
inference(sat_conversion,[],[f788]) ).
cnf(s56,plain,
( ~ spl8_9
| ~ spl8_10
| ~ spl8_22 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s65,plain,
( spl8_10
| ~ spl8_22 ),
inference(sat_conversion,[],[f1247]) ).
cnf(s67,plain,
( spl8_22
| ~ spl8_40 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s72,plain,
spl8_40,
inference(rat,[],[s44,s26]) ).
cnf(s73,plain,
spl8_22,
inference(rat,[],[s67,s72]) ).
cnf(s74,plain,
spl8_10,
inference(rat,[],[s65,s73]) ).
cnf(s77,plain,
$false,
inference(rat,[],[s56,s26,s73,s74]) ).
tff(f1251,plain,
$false,
inference(avatar_sat_refutation,[],[s77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP266_4 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 18:38:48 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % (3327301)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3327322)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=450247365:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (3327318)% WARNING: option uhcvi not known.
% 0.17/0.47 % (3327319)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1192445350:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (3327318)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1994401556:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (3327317)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=528486494_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (3327320)dis+10_1_sil=32000:sp=arity:random_seed=2938126586:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3327321)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=225418273:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (3327324)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2585669080:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % (3327320) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3327301-3327320"...
% 0.17/0.47 % (3327318) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3327301-3327318"...
% 0.17/0.47 % (3327322) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3327301-3327322"...
% 0.17/0.47 % (3327322)...printing done.
% 0.17/0.47 % (3327320)...printing done.
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % (3327318)...printing done.
% 0.17/0.47 % (3327322)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (3327322)------------------------------
% 0.17/0.47 % (3327322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3327322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3327322)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3327322)Termination reason: Refutation
% 0.17/0.47 % (3327322)Time elapsed: 0.017 s
% 0.17/0.47 % (3327322)Peak memory usage: 12 MB
% 0.17/0.47 % (3327322)Instructions burned: 49 (million)
% 0.17/0.47 % (3327301)Success in time 0.049 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------