TSTP Solution File: NLP266_23 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NLP266_23 : 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 file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 : Sun May 5 08:05:10 EDT 2024
% Result : Theorem 0.62s 0.81s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 29
% Syntax : Number of formulae : 83 ( 8 unt; 16 typ; 0 def)
% Number of atoms : 561 ( 0 equ)
% Maximal formula atoms : 26 ( 8 avg)
% Number of connectives : 640 ( 268 ~; 237 |; 91 &)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 122 ( 122 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 34 ( 13 >; 21 *; 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 : 275 ( 230 !; 45 ?; 183 :)
% 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' ).
tff(func_def_4,type,
sK1: ( $i * $i * $i * $i ) > '$ki_world' ).
tff(func_def_6,type,
sK3: ( $i * $i ) > '$ki_world' ).
tff(func_def_7,type,
sK4: '$ki_world' > $i ).
tff(func_def_9,type,
sK6: ( '$ki_world' * $i * $i * $i ) > $i ).
tff(func_def_10,type,
sK7: '$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(f82,plain,
$false,
inference(subsumption_resolution,[],[f81,f43]) ).
tff(f43,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'(X0,X1),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.OVNdSPZfYO/Vampire---4.8_10895',mrel_universal) ).
tff(f81,plain,
! [X0: '$ki_world'] : ~ '$ki_accessible'('$ki_local_world',X0),
inference(resolution,[],[f80,f48]) ).
tff(f48,plain,
! [X1: '$ki_world'] :
( entry_box(X1,sK5)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
( ! [X1: '$ki_world'] :
( ( number(X1,sK5,one)
& entry_box(X1,sK5) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
& '$ki_exists_in_world_$i'('$ki_local_world',sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f18,f28]) ).
tff(f28,plain,
( ? [X0] :
( ! [X1: '$ki_world'] :
( ( number(X1,X0,one)
& entry_box(X1,X0) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
& '$ki_exists_in_world_$i'('$ki_local_world',X0) )
=> ( ! [X1: '$ki_world'] :
( ( number(X1,sK5,one)
& entry_box(X1,sK5) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
& '$ki_exists_in_world_$i'('$ki_local_world',sK5) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0] :
( ! [X1: '$ki_world'] :
( ( number(X1,X0,one)
& entry_box(X1,X0) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
& '$ki_exists_in_world_$i'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
? [X0] :
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( number(X1,X0,one)
& entry_box(X1,X0) ) )
& '$ki_exists_in_world_$i'('$ki_local_world',X0) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
? [X5] :
( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( number(X0,X5,one)
& entry_box(X0,X5) ) )
& '$ki_exists_in_world_$i'('$ki_local_world',X5) ),
file('/export/starexec/sandbox/tmp/tmp.OVNdSPZfYO/Vampire---4.8_10895',ax2) ).
tff(f80,plain,
! [X0: '$ki_world'] : ~ entry_box(X0,sK5),
inference(subsumption_resolution,[],[f79,f43]) ).
tff(f79,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ entry_box(X0,sK5)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(subsumption_resolution,[],[f78,f43]) ).
tff(f78,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ entry_box(X0,sK5)
| ~ '$ki_accessible'(X1,X0)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(resolution,[],[f77,f46]) ).
tff(f46,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( string(X2,sK4(X0))
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
! [X0: '$ki_world'] :
( ( ! [X2: '$ki_world'] :
( ( string(X2,sK4(X0))
& userid(X2,u,sK4(X0)) )
| ~ '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,sK4(X0)) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f17,f26]) ).
tff(f26,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( ! [X2: '$ki_world'] :
( ( string(X2,X1)
& userid(X2,u,X1) )
| ~ '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
=> ( ! [X2: '$ki_world'] :
( ( string(X2,sK4(X0))
& userid(X2,u,sK4(X0)) )
| ~ '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( ! [X2: '$ki_world'] :
( ( string(X2,X1)
& userid(X2,u,X1) )
| ~ '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> ( string(X2,X1)
& userid(X2,u,X1) ) )
& '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ( string(X4,X3)
& userid(X4,u,X3) ) )
& '$ki_exists_in_world_$i'(X0,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.OVNdSPZfYO/Vampire---4.8_10895',ax1) ).
tff(f77,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ string(X0,sK4(X1))
| ~ entry_box(X0,sK5) ),
inference(subsumption_resolution,[],[f76,f43]) ).
tff(f76,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ entry_box(X0,sK5)
| ~ string(X0,sK4(X1))
| ~ '$ki_accessible'('$ki_local_world',sK3(sK4(X1),sK5)) ),
inference(resolution,[],[f75,f48]) ).
tff(f75,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ entry_box(sK3(sK4(X0),sK5),sK5)
| ~ entry_box(X1,sK5)
| ~ string(X1,sK4(X0)) ),
inference(subsumption_resolution,[],[f74,f43]) ).
tff(f74,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ entry_box(sK3(sK4(X0),sK5),sK5)
| ~ entry_box(X1,sK5)
| ~ string(X1,sK4(X0))
| ~ '$ki_accessible'('$ki_local_world',sK3(sK4(X0),sK5)) ),
inference(resolution,[],[f73,f49]) ).
tff(f49,plain,
! [X1: '$ki_world'] :
( number(X1,sK5,one)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f29]) ).
tff(f73,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: $i] :
( ~ number(sK3(sK4(X0),X1),X1,one)
| ~ entry_box(sK3(sK4(X0),X1),X1)
| ~ entry_box(X2,X1)
| ~ string(X2,sK4(X0)) ),
inference(subsumption_resolution,[],[f72,f43]) ).
tff(f72,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: $i] :
( ~ entry_box(sK3(sK4(X0),X1),X1)
| ~ number(sK3(sK4(X0),X1),X1,one)
| ~ entry_box(X2,X1)
| ~ string(X2,sK4(X0))
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(subsumption_resolution,[],[f71,f43]) ).
tff(f71,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: $i] :
( ~ entry_box(sK3(sK4(X0),X1),X1)
| ~ number(sK3(sK4(X0),X1),X1,one)
| ~ entry_box(X2,X1)
| ~ string(X2,sK4(X0))
| ~ '$ki_accessible'(X0,sK3(sK4(X0),X1))
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(resolution,[],[f70,f45]) ).
tff(f45,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( userid(X2,u,sK4(X0))
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f70,plain,
! [X2: '$ki_world',X0: $i,X1: $i] :
( ~ userid(sK3(X0,X1),u,X0)
| ~ entry_box(sK3(X0,X1),X1)
| ~ number(sK3(X0,X1),X1,one)
| ~ entry_box(X2,X1)
| ~ string(X2,X0) ),
inference(duplicate_literal_removal,[],[f69]) ).
tff(f69,plain,
! [X2: '$ki_world',X0: $i,X1: $i] :
( ~ entry_box(sK3(X0,X1),X1)
| ~ userid(sK3(X0,X1),u,X0)
| ~ number(sK3(X0,X1),X1,one)
| ~ entry_box(X2,X1)
| ~ string(X2,X0)
| ~ number(sK3(X0,X1),X1,one)
| ~ entry_box(sK3(X0,X1),X1)
| ~ userid(sK3(X0,X1),u,X0) ),
inference(resolution,[],[f68,f57]) ).
tff(f57,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ in(sK1(X1,X2,X3,X4),X1,X2,sK2(X1,X2,X3,X4))
| ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1) ),
inference(subsumption_resolution,[],[f56,f53]) ).
tff(f53,plain,
! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: '$ki_world',X1] : '$ki_exists_in_world_$i'(X0,X1),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X0: '$ki_world',X2] : '$ki_exists_in_world_$i'(X0,X2),
file('/export/starexec/sandbox/tmp/tmp.OVNdSPZfYO/Vampire---4.8_10895','$ki_exists_in_world_$i_const') ).
tff(f56,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ in(sK1(X1,X2,X3,X4),X1,X2,sK2(X1,X2,X3,X4))
| ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK0,X1) ),
inference(subsumption_resolution,[],[f55,f53]) ).
tff(f55,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ in(sK1(X1,X2,X3,X4),X1,X2,sK2(X1,X2,X3,X4))
| ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK0,X2)
| ~ '$ki_exists_in_world_$i'(sK0,X1) ),
inference(subsumption_resolution,[],[f54,f53]) ).
tff(f54,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ in(sK1(X1,X2,X3,X4),X1,X2,sK2(X1,X2,X3,X4))
| ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK0,X3)
| ~ '$ki_exists_in_world_$i'(sK0,X2)
| ~ '$ki_exists_in_world_$i'(sK0,X1) ),
inference(subsumption_resolution,[],[f42,f53]) ).
tff(f42,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ in(sK1(X1,X2,X3,X4),X1,X2,sK2(X1,X2,X3,X4))
| ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK0,X4)
| ~ '$ki_exists_in_world_$i'(sK0,X3)
| ~ '$ki_exists_in_world_$i'(sK0,X2)
| ~ '$ki_exists_in_world_$i'(sK0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ~ in(sK1(X1,X2,X3,X4),X1,X2,sK2(X1,X2,X3,X4))
& do(sK1(X1,X2,X3,X4),X4,X3,sK2(X1,X2,X3,X4))
& '$ki_exists_in_world_$i'(sK1(X1,X2,X3,X4),sK2(X1,X2,X3,X4))
& '$ki_accessible'(sK0,sK1(X1,X2,X3,X4)) )
| ( ( ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1) )
& '$ki_accessible'(sK0,sK3(X1,X2)) )
| ~ '$ki_exists_in_world_$i'(sK0,X4) )
| ~ '$ki_exists_in_world_$i'(sK0,X3) )
| ~ '$ki_exists_in_world_$i'(sK0,X2) )
| ~ '$ki_exists_in_world_$i'(sK0,X1) )
& '$ki_accessible'('$ki_local_world',sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f16,f24,f23,f22,f21]) ).
tff(f21,plain,
( ? [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X5: '$ki_world'] :
( ? [X6] :
( ~ in(X5,X1,X2,X6)
& do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6) )
& '$ki_accessible'(X0,X5) )
| ? [X7: '$ki_world'] :
( ( ~ number(X7,X2,one)
| ~ entry_box(X7,X2)
| ~ userid(X7,u,X1) )
& '$ki_accessible'(X0,X7) )
| ~ '$ki_exists_in_world_$i'(X0,X4) )
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) )
=> ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X5: '$ki_world'] :
( ? [X6] :
( ~ in(X5,X1,X2,X6)
& do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6) )
& '$ki_accessible'(sK0,X5) )
| ? [X7: '$ki_world'] :
( ( ~ number(X7,X2,one)
| ~ entry_box(X7,X2)
| ~ userid(X7,u,X1) )
& '$ki_accessible'(sK0,X7) )
| ~ '$ki_exists_in_world_$i'(sK0,X4) )
| ~ '$ki_exists_in_world_$i'(sK0,X3) )
| ~ '$ki_exists_in_world_$i'(sK0,X2) )
| ~ '$ki_exists_in_world_$i'(sK0,X1) )
& '$ki_accessible'('$ki_local_world',sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f22,plain,
! [X1,X2,X3,X4] :
( ? [X5: '$ki_world'] :
( ? [X6] :
( ~ in(X5,X1,X2,X6)
& do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6) )
& '$ki_accessible'(sK0,X5) )
=> ( ? [X6] :
( ~ in(sK1(X1,X2,X3,X4),X1,X2,X6)
& do(sK1(X1,X2,X3,X4),X4,X3,X6)
& '$ki_exists_in_world_$i'(sK1(X1,X2,X3,X4),X6) )
& '$ki_accessible'(sK0,sK1(X1,X2,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
! [X1,X2,X3,X4] :
( ? [X6] :
( ~ in(sK1(X1,X2,X3,X4),X1,X2,X6)
& do(sK1(X1,X2,X3,X4),X4,X3,X6)
& '$ki_exists_in_world_$i'(sK1(X1,X2,X3,X4),X6) )
=> ( ~ in(sK1(X1,X2,X3,X4),X1,X2,sK2(X1,X2,X3,X4))
& do(sK1(X1,X2,X3,X4),X4,X3,sK2(X1,X2,X3,X4))
& '$ki_exists_in_world_$i'(sK1(X1,X2,X3,X4),sK2(X1,X2,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f24,plain,
! [X1,X2] :
( ? [X7: '$ki_world'] :
( ( ~ number(X7,X2,one)
| ~ entry_box(X7,X2)
| ~ userid(X7,u,X1) )
& '$ki_accessible'(sK0,X7) )
=> ( ( ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1) )
& '$ki_accessible'(sK0,sK3(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X5: '$ki_world'] :
( ? [X6] :
( ~ in(X5,X1,X2,X6)
& do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6) )
& '$ki_accessible'(X0,X5) )
| ? [X7: '$ki_world'] :
( ( ~ number(X7,X2,one)
| ~ entry_box(X7,X2)
| ~ userid(X7,u,X1) )
& '$ki_accessible'(X0,X7) )
| ~ '$ki_exists_in_world_$i'(X0,X4) )
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X5: '$ki_world'] :
( ? [X6] :
( ~ in(X5,X1,X2,X6)
& do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6) )
& '$ki_accessible'(X0,X5) )
| ? [X7: '$ki_world'] :
( ( ~ number(X7,X2,one)
| ~ entry_box(X7,X2)
| ~ userid(X7,u,X1) )
& '$ki_accessible'(X0,X7) )
| ~ '$ki_exists_in_world_$i'(X0,X4) )
| ~ '$ki_exists_in_world_$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,[],[f9]) ).
tff(f9,plain,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X6] :
( '$ki_exists_in_world_$i'(X5,X6)
=> ( do(X5,X4,X3,X6)
=> in(X5,X1,X2,X6) ) ) )
& ! [X7: '$ki_world'] :
( '$ki_accessible'(X0,X7)
=> ( number(X7,X2,one)
& entry_box(X7,X2)
& userid(X7,u,X1) ) )
& '$ki_exists_in_world_$i'(X0,X4) )
& '$ki_exists_in_world_$i'(X0,X3) )
& '$ki_exists_in_world_$i'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(rectify,[],[f8]) ).
tff(f8,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( ? [X5] :
( ? [X7] :
( ? [X6] :
( ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X8] :
( '$ki_exists_in_world_$i'(X4,X8)
=> ( do(X4,X6,X7,X8)
=> in(X4,X3,X5,X8) ) ) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ( number(X4,X5,one)
& entry_box(X4,X5)
& userid(X4,u,X3) ) )
& '$ki_exists_in_world_$i'(X0,X6) )
& '$ki_exists_in_world_$i'(X0,X7) )
& '$ki_exists_in_world_$i'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,X3) ) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( ? [X5] :
( ? [X7] :
( ? [X6] :
( ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X8] :
( '$ki_exists_in_world_$i'(X4,X8)
=> ( do(X4,X6,X7,X8)
=> in(X4,X3,X5,X8) ) ) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ( number(X4,X5,one)
& entry_box(X4,X5)
& userid(X4,u,X3) ) )
& '$ki_exists_in_world_$i'(X0,X6) )
& '$ki_exists_in_world_$i'(X0,X7) )
& '$ki_exists_in_world_$i'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.OVNdSPZfYO/Vampire---4.8_10895',verify) ).
tff(f68,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( in(sK1(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
| ~ entry_box(sK3(X0,X1),X1)
| ~ userid(sK3(X0,X1),u,X0)
| ~ number(sK3(X0,X1),X1,one)
| ~ entry_box(X2,X5)
| ~ string(X2,X4) ),
inference(subsumption_resolution,[],[f67,f43]) ).
tff(f67,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ number(sK3(X0,X1),X1,one)
| ~ entry_box(sK3(X0,X1),X1)
| ~ userid(sK3(X0,X1),u,X0)
| in(sK1(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
| ~ entry_box(X2,X5)
| ~ string(X2,X4)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(subsumption_resolution,[],[f66,f53]) ).
tff(f66,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ number(sK3(X0,X1),X1,one)
| ~ entry_box(sK3(X0,X1),X1)
| ~ userid(sK3(X0,X1),u,X0)
| in(sK1(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
| ~ entry_box(X2,X5)
| ~ string(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(subsumption_resolution,[],[f65,f53]) ).
tff(f65,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ number(sK3(X0,X1),X1,one)
| ~ entry_box(sK3(X0,X1),X1)
| ~ userid(sK3(X0,X1),u,X0)
| in(sK1(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
| ~ entry_box(X2,X5)
| ~ string(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(subsumption_resolution,[],[f64,f53]) ).
tff(f64,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ number(sK3(X0,X1),X1,one)
| ~ entry_box(sK3(X0,X1),X1)
| ~ userid(sK3(X0,X1),u,X0)
| in(sK1(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
| ~ entry_box(X2,X5)
| ~ string(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X5)
| ~ '$ki_exists_in_world_$i'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(subsumption_resolution,[],[f63,f43]) ).
tff(f63,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ number(sK3(X0,X1),X1,one)
| ~ entry_box(sK3(X0,X1),X1)
| ~ userid(sK3(X0,X1),u,X0)
| in(sK1(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
| ~ '$ki_accessible'(X2,sK1(X0,X1,sK6(X2,X3,X4,X5),X3))
| ~ entry_box(X2,X5)
| ~ string(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X5)
| ~ '$ki_exists_in_world_$i'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(subsumption_resolution,[],[f62,f53]) ).
tff(f62,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ number(sK3(X0,X1),X1,one)
| ~ entry_box(sK3(X0,X1),X1)
| ~ userid(sK3(X0,X1),u,X0)
| in(sK1(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
| ~ '$ki_exists_in_world_$i'(sK1(X0,X1,sK6(X2,X3,X4,X5),X3),sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
| ~ '$ki_accessible'(X2,sK1(X0,X1,sK6(X2,X3,X4,X5),X3))
| ~ entry_box(X2,X5)
| ~ string(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X5)
| ~ '$ki_exists_in_world_$i'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(resolution,[],[f61,f51]) ).
tff(f51,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( ~ do(X5,X1,sK6(X0,X1,X2,X3),X6)
| in(X5,X2,X3,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| ~ '$ki_accessible'(X0,X5)
| ~ entry_box(X0,X3)
| ~ string(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ! [X5: '$ki_world'] :
( ! [X6] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,sK6(X0,X1,X2,X3),X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,sK6(X0,X1,X2,X3)) )
| ~ 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(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f20,f30]) ).
tff(f30,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_$i'(X0,X4) )
=> ( ! [X5: '$ki_world'] :
( ! [X6] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,sK6(X0,X1,X2,X3),X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,sK6(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
! [X0: '$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(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'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: '$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,[],[f6]) ).
tff(f6,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X6] :
( '$ki_exists_in_world_$i'(X0,X6)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
=> ! [X5] :
( '$ki_exists_in_world_$i'(X0,X5)
=> ( ( entry_box(X0,X5)
& string(X0,X3) )
=> ? [X7] :
( ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X8] :
( '$ki_exists_in_world_$i'(X4,X8)
=> ( do(X4,X6,X7,X8)
=> in(X4,X3,X5,X8) ) ) )
& '$ki_exists_in_world_$i'(X0,X7) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OVNdSPZfYO/Vampire---4.8_10895',ax3) ).
tff(f61,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( do(sK1(X1,X2,X3,X4),X4,X3,sK2(X1,X2,X3,X4))
| ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1) ),
inference(subsumption_resolution,[],[f60,f53]) ).
tff(f60,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( do(sK1(X1,X2,X3,X4),X4,X3,sK2(X1,X2,X3,X4))
| ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK0,X1) ),
inference(subsumption_resolution,[],[f59,f53]) ).
tff(f59,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( do(sK1(X1,X2,X3,X4),X4,X3,sK2(X1,X2,X3,X4))
| ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK0,X2)
| ~ '$ki_exists_in_world_$i'(sK0,X1) ),
inference(subsumption_resolution,[],[f58,f53]) ).
tff(f58,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( do(sK1(X1,X2,X3,X4),X4,X3,sK2(X1,X2,X3,X4))
| ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK0,X3)
| ~ '$ki_exists_in_world_$i'(sK0,X2)
| ~ '$ki_exists_in_world_$i'(sK0,X1) ),
inference(subsumption_resolution,[],[f40,f53]) ).
tff(f40,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( do(sK1(X1,X2,X3,X4),X4,X3,sK2(X1,X2,X3,X4))
| ~ number(sK3(X1,X2),X2,one)
| ~ entry_box(sK3(X1,X2),X2)
| ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK0,X4)
| ~ '$ki_exists_in_world_$i'(sK0,X3)
| ~ '$ki_exists_in_world_$i'(sK0,X2)
| ~ '$ki_exists_in_world_$i'(sK0,X1) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NLP266_23 : 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 file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 12:35:33 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a TF0_UNK_RFO_NEQ_NAR problem
% 0.12/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.OVNdSPZfYO/Vampire---4.8_10895
% 0.62/0.80 % (11009)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.80 % (11008)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80 % (11005)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.81 % (11010)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.81 % (11007)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81 % (11006)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.81 % (11011)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.81 % (11012)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.81 % (11009)Refutation not found, incomplete strategy% (11009)------------------------------
% 0.62/0.81 % (11009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (11009)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (11009)Memory used [KB]: 1034
% 0.62/0.81 % (11009)Time elapsed: 0.003 s
% 0.62/0.81 % (11009)Instructions burned: 3 (million)
% 0.62/0.81 % (11011)Also succeeded, but the first one will report.
% 0.62/0.81 % (11012)Also succeeded, but the first one will report.
% 0.62/0.81 % (11005)Also succeeded, but the first one will report.
% 0.62/0.81 % (11010)First to succeed.
% 0.62/0.81 % (11009)------------------------------
% 0.62/0.81 % (11009)------------------------------
% 0.62/0.81 % (11006)Also succeeded, but the first one will report.
% 0.62/0.81 % (11007)Also succeeded, but the first one will report.
% 0.62/0.81 % (11008)Also succeeded, but the first one will report.
% 0.62/0.81 % (11010)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11004"
% 0.62/0.81 % (11010)Refutation found. Thanks to Tanya!
% 0.62/0.81 % SZS status Theorem for Vampire---4
% 0.62/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.81 % (11010)------------------------------
% 0.62/0.81 % (11010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (11010)Termination reason: Refutation
% 0.62/0.81
% 0.62/0.81 % (11010)Memory used [KB]: 1041
% 0.62/0.81 % (11010)Time elapsed: 0.005 s
% 0.62/0.81 % (11010)Instructions burned: 8 (million)
% 0.62/0.81 % (11004)Success in time 0.459 s
% 0.62/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------