%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP266_23 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 55 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 396 ( 0 equ)
% Maximal formula atoms : 13 ( 7 avg)
% Number of connectives : 471 ( 204 ~; 188 |; 53 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 74 ( 74 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 4 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 211 ( 184 !; 27 ?; 211 :)
% 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',X1: '$ki_world'] : '$ki_accessible'(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
tff(f2,axiom,
! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
tff(f4,axiom,
! [X0: '$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/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f5,axiom,
? [X0: $i] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( entry_box(X1,X0)
& number(X1,X0,one) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f6,axiom,
! [X0: '$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_$i'(X5,X6)
=> ( do(X5,X1,X4,X6)
=> in(X5,X2,X3,X6) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f7,conjecture,
! [X0: '$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_$i'(X5,X6)
=> ( do(X5,X4,X3,X6)
=> in(X5,X1,X2,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f8,negated_conjecture,
~ ! [X0: '$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_$i'(X5,X6)
=> ( do(X5,X4,X3,X6)
=> in(X5,X1,X2,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
tff(f9,plain,
~ ! [X0: '$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_$i'(X6,X7)
=> ( do(X6,X4,X3,X7)
=> in(X6,X1,X2,X7) ) ) ) ) ) ) ) ),
inference(rectify,[],[f8]) ).
tff(f10,plain,
! [X0: '$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,[],[f4]) ).
tff(f11,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'('$ki_local_world',X1) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f12,plain,
! [X0: '$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,[],[f6]) ).
tff(f13,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,[],[f12]) ).
tff(f14,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,[],[f9]) ).
tff(f15,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,[],[f14]) ).
tff(f17,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'('$ki_local_world',X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f10]) ).
tff(f18,plain,
( '$ki_exists_in_world_$i'('$ki_local_world',sK2)
& ! [X1: '$ki_world'] :
( ( entry_box(X1,sK2)
& number(X1,sK2,one) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f11]) ).
tff(f19,plain,
! [X0: '$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))],[f13]) ).
tff(f20,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'('$ki_local_world',sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X5,sK5(X1,X2)),skolemize(X6,sK6(X1,X2,X3,X4)),skolemize(X7,sK7(X1,X2,X3,X4))],[f15]) ).
tff(f21,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'(X0,X1),
inference(cnf_transformation,[],[f1]) ).
tff(f22,plain,
! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
inference(cnf_transformation,[],[f2]) ).
tff(f24,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( string(X2,sK1(X0))
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f25,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( userid(X2,u,sK1(X0))
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f27,plain,
! [X1: '$ki_world'] :
( number(X1,sK2,one)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f28,plain,
! [X1: '$ki_world'] :
( entry_box(X1,sK2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f30,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( 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(cnf_transformation,[],[f19]) ).
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)
| ~ 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,[],[f20]) ).
tff(f40,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ in(sK6(X1,X2,X3,X4),X1,X2,sK7(X1,X2,X3,X4))
| ~ '$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_exists_in_world_$i'(sK4,X1) ),
inference(cnf_transformation,[],[f20]) ).
tff(f58,plain,
! [X1: '$ki_world'] : entry_box(X1,sK2),
inference(forward_subsumption_resolution,[],[f28,f21]) ).
tff(f61,plain,
! [X1: '$ki_world'] : number(X1,sK2,one),
inference(forward_subsumption_resolution,[],[f27,f21]) ).
tff(f64,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( string(X2,sK1(X0))
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(forward_subsumption_resolution,[],[f24,f21]) ).
tff(f65,plain,
! [X2: '$ki_world',X0: '$ki_world'] : string(X2,sK1(X0)),
inference(forward_subsumption_resolution,[],[f64,f21]) ).
tff(f66,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( userid(X2,u,sK1(X0))
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(forward_subsumption_resolution,[],[f25,f21]) ).
tff(f67,plain,
! [X2: '$ki_world',X0: '$ki_world'] : userid(X2,u,sK1(X0)),
inference(forward_subsumption_resolution,[],[f66,f21]) ).
tff(f70,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ '$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(forward_subsumption_resolution,[],[f39,f22]) ).
tff(f71,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ '$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(forward_subsumption_resolution,[],[f70,f22]) ).
tff(f72,plain,
! [X2: $i,X3: $i,X1: $i,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)
| do(sK6(X1,X2,X3,X4),X4,X3,sK7(X1,X2,X3,X4)) ),
inference(forward_subsumption_resolution,[],[f71,f22]) ).
tff(f73,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( do(sK6(X1,X2,X3,X4),X4,X3,sK7(X1,X2,X3,X4))
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one)
| ~ userid(sK5(X1,X2),u,X1) ),
inference(forward_subsumption_resolution,[],[f72,f22]) ).
tff(f77,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,sK3(X0,X1,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(forward_subsumption_resolution,[],[f30,f22]) ).
tff(f78,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
| ~ 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(forward_subsumption_resolution,[],[f77,f21]) ).
tff(f79,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
| ~ string(X0,X2)
| ~ entry_box(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(forward_subsumption_resolution,[],[f78,f22]) ).
tff(f80,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
| ~ string(X0,X2)
| ~ entry_box(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(forward_subsumption_resolution,[],[f79,f22]) ).
tff(f81,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
| ~ string(X0,X2)
| ~ entry_box(X0,X3)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(forward_subsumption_resolution,[],[f80,f22]) ).
tff(f82,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
| in(X5,X2,X3,X6)
| ~ string(X0,X2)
| ~ entry_box(X0,X3) ),
inference(forward_subsumption_resolution,[],[f81,f21]) ).
tff(f96,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( in(sK6(X0,X1,sK3(X2,X3,X4,X5),X3),X4,X5,sK7(X0,X1,sK3(X2,X3,X4,X5),X3))
| ~ string(X2,X4)
| ~ entry_box(X2,X5)
| ~ entry_box(sK5(X0,X1),X1)
| ~ number(sK5(X0,X1),X1,one)
| ~ userid(sK5(X0,X1),u,X0) ),
inference(resolution,[],[f82,f73]) ).
tff(f142,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
( ~ string(X0,X1)
| ~ entry_box(X0,X2)
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one)
| ~ userid(sK5(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,sK3(X0,X3,X1,X2))
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ userid(sK5(X1,X2),u,X1)
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one)
| ~ '$ki_exists_in_world_$i'(sK4,X1) ),
inference(resolution,[],[f96,f40]) ).
tff(f143,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
( ~ string(X0,X1)
| ~ entry_box(X0,X2)
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one)
| ~ userid(sK5(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,sK3(X0,X3,X1,X2))
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X1) ),
inference(duplicate_literal_removal,[],[f142]) ).
tff(f144,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
( ~ string(X0,X1)
| ~ entry_box(X0,X2)
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one)
| ~ userid(sK5(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK4,sK3(X0,X3,X1,X2))
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X1) ),
inference(forward_subsumption_resolution,[],[f143,f22]) ).
tff(f145,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
( ~ string(X0,X1)
| ~ entry_box(X0,X2)
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one)
| ~ userid(sK5(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X1) ),
inference(forward_subsumption_resolution,[],[f144,f22]) ).
tff(f146,plain,
! [X2: $i,X0: '$ki_world',X1: $i] :
( ~ string(X0,X1)
| ~ entry_box(X0,X2)
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one)
| ~ userid(sK5(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X1) ),
inference(forward_subsumption_resolution,[],[f145,f22]) ).
tff(f147,plain,
! [X2: $i,X0: '$ki_world',X1: $i] :
( ~ userid(sK5(X1,X2),u,X1)
| ~ entry_box(X0,X2)
| ~ entry_box(sK5(X1,X2),X2)
| ~ number(sK5(X1,X2),X2,one)
| ~ string(X0,X1) ),
inference(forward_subsumption_resolution,[],[f146,f22]) ).
tff(f148,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: $i] :
( ~ entry_box(X0,X1)
| ~ entry_box(sK5(sK1(X2),X1),X1)
| ~ number(sK5(sK1(X2),X1),X1,one)
| ~ string(X0,sK1(X2)) ),
inference(resolution,[],[f147,f67]) ).
tff(f149,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: $i] :
( ~ number(sK5(sK1(X2),X1),X1,one)
| ~ entry_box(sK5(sK1(X2),X1),X1)
| ~ entry_box(X0,X1) ),
inference(forward_subsumption_resolution,[],[f148,f65]) ).
tff(f150,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ entry_box(sK5(sK1(X0),sK2),sK2)
| ~ entry_box(X1,sK2) ),
inference(resolution,[],[f149,f61]) ).
tff(f151,plain,
! [X1: '$ki_world'] : ~ entry_box(X1,sK2),
inference(forward_subsumption_resolution,[],[f150,f58]) ).
tff(f152,plain,
$false,
inference(forward_subsumption_resolution,[],[f151,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP266_23 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 18:38:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 % (479640)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (479647)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=100575787:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (479647) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-479640-479647"...
% 0.11/0.45 % (479647)...printing done.
% 0.11/0.45 % (479646)% WARNING: option uhcvi not known.
% 0.11/0.45 % (479647)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (479647)------------------------------
% 0.11/0.45 % (479647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (479647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (479647)CaDiCaL version: 2.1.3
% 0.11/0.45 % (479647)Termination reason: Refutation
% 0.11/0.45 % (479647)Time elapsed: 0.003 s
% 0.11/0.45 % (479647)Peak memory usage: 11 MB
% 0.11/0.45 % (479647)Instructions burned: 7 (million)
% 0.11/0.45 % (479640)Success in time 0.031 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------