TSTP Solution File: NLP266_23 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% 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 snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.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 15:39:55 EDT 2023
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 85 ( 11 unt; 16 typ; 0 def)
% Number of atoms : 519 ( 0 equ)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 571 ( 227 ~; 204 |; 96 &)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 106 ( 106 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 : 292 (; 243 !; 49 ?; 195 :)
% 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 * $i * $i ) > $i ).
tff(func_def_8,type,
sK5: '$ki_world' > $i ).
tff(func_def_10,type,
sK7: '$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(f97,plain,
$false,
inference(subsumption_resolution,[],[f96,f64]) ).
tff(f64,plain,
! [X0: '$ki_world'] : number(X0,sK6,one),
inference(resolution,[],[f48,f53]) ).
tff(f53,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/benchmark/theBenchmark.p',mrel_universal) ).
tff(f48,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| number(X1,sK6,one) ),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
( '$ki_exists_in_world_$i'('$ki_local_world',sK6)
& ! [X1: '$ki_world'] :
( ( number(X1,sK6,one)
& entry_box(X1,sK6) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f18,f31]) ).
tff(f31,plain,
( ? [X0] :
( '$ki_exists_in_world_$i'('$ki_local_world',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',sK6)
& ! [X1: '$ki_world'] :
( ( number(X1,sK6,one)
& entry_box(X1,sK6) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
& ! [X1: '$ki_world'] :
( ( number(X1,X0,one)
& entry_box(X1,X0) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,plain,
? [X0] :
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( number(X1,X0,one)
& entry_box(X1,X0) ) )
& '$ki_exists_in_world_$i'('$ki_local_world',X0) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
? [X5] :
( '$ki_exists_in_world_$i'('$ki_local_world',X5)
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( number(X0,X5,one)
& entry_box(X0,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f96,plain,
! [X1: '$ki_world'] : ~ number(sK3(sK7(X1),sK6),sK6,one),
inference(subsumption_resolution,[],[f95,f62]) ).
tff(f62,plain,
! [X0: '$ki_world'] : entry_box(X0,sK6),
inference(resolution,[],[f47,f53]) ).
tff(f47,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| entry_box(X1,sK6) ),
inference(cnf_transformation,[],[f32]) ).
tff(f95,plain,
! [X1: '$ki_world'] :
( ~ entry_box(sK3(sK7(X1),sK6),sK6)
| ~ number(sK3(sK7(X1),sK6),sK6,one) ),
inference(subsumption_resolution,[],[f93,f62]) ).
tff(f93,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ entry_box(X0,sK6)
| ~ entry_box(sK3(sK7(X1),sK6),sK6)
| ~ number(sK3(sK7(X1),sK6),sK6,one) ),
inference(resolution,[],[f92,f82]) ).
tff(f82,plain,
! [X6: $i,X7: $i,X4: '$ki_world',X5: $i] :
( ~ in(sK1(sK7(X4),X5,X6,X7),sK7(X4),X5,sK2(sK7(X4),X5,X6,X7))
| ~ entry_box(sK3(sK7(X4),X5),X5)
| ~ number(sK3(sK7(X4),X5),X5,one) ),
inference(subsumption_resolution,[],[f81,f54]) ).
tff(f54,plain,
! [X0: $i,X1: '$ki_world'] : '$ki_exists_in_world_$i'(X1,X0),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
! [X0,X1: '$ki_world'] : '$ki_exists_in_world_$i'(X1,X0),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X2,X0: '$ki_world'] : '$ki_exists_in_world_$i'(X0,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
tff(f81,plain,
! [X6: $i,X7: $i,X4: '$ki_world',X5: $i] :
( ~ number(sK3(sK7(X4),X5),X5,one)
| ~ entry_box(sK3(sK7(X4),X5),X5)
| ~ in(sK1(sK7(X4),X5,X6,X7),sK7(X4),X5,sK2(sK7(X4),X5,X6,X7))
| ~ '$ki_exists_in_world_$i'(sK0,X5) ),
inference(subsumption_resolution,[],[f80,f54]) ).
tff(f80,plain,
! [X6: $i,X7: $i,X4: '$ki_world',X5: $i] :
( ~ number(sK3(sK7(X4),X5),X5,one)
| ~ entry_box(sK3(sK7(X4),X5),X5)
| ~ '$ki_exists_in_world_$i'(sK0,X6)
| ~ '$ki_exists_in_world_$i'(sK0,X5)
| ~ in(sK1(sK7(X4),X5,X6,X7),sK7(X4),X5,sK2(sK7(X4),X5,X6,X7)) ),
inference(subsumption_resolution,[],[f79,f54]) ).
tff(f79,plain,
! [X6: $i,X7: $i,X4: '$ki_world',X5: $i] :
( ~ '$ki_exists_in_world_$i'(sK0,X7)
| ~ entry_box(sK3(sK7(X4),X5),X5)
| ~ number(sK3(sK7(X4),X5),X5,one)
| ~ '$ki_exists_in_world_$i'(sK0,X5)
| ~ in(sK1(sK7(X4),X5,X6,X7),sK7(X4),X5,sK2(sK7(X4),X5,X6,X7))
| ~ '$ki_exists_in_world_$i'(sK0,X6) ),
inference(subsumption_resolution,[],[f72,f54]) ).
tff(f72,plain,
! [X6: $i,X7: $i,X4: '$ki_world',X5: $i] :
( ~ '$ki_exists_in_world_$i'(sK0,sK7(X4))
| ~ '$ki_exists_in_world_$i'(sK0,X7)
| ~ '$ki_exists_in_world_$i'(sK0,X6)
| ~ '$ki_exists_in_world_$i'(sK0,X5)
| ~ entry_box(sK3(sK7(X4),X5),X5)
| ~ in(sK1(sK7(X4),X5,X6,X7),sK7(X4),X5,sK2(sK7(X4),X5,X6,X7))
| ~ number(sK3(sK7(X4),X5),X5,one) ),
inference(resolution,[],[f69,f35]) ).
tff(f35,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ userid(sK3(X1,X2),u,X1)
| ~ in(sK1(X1,X2,X3,X4),X1,X2,sK2(X1,X2,X3,X4))
| ~ entry_box(sK3(X1,X2),X2)
| ~ number(sK3(X1,X2),X2,one)
| ~ '$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_$i'(sK0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
( '$ki_accessible'('$ki_local_world',sK0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ '$ki_exists_in_world_$i'(sK0,X4)
| ( '$ki_accessible'(sK0,sK1(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))
& ~ in(sK1(X1,X2,X3,X4),X1,X2,sK2(X1,X2,X3,X4)) )
| ( '$ki_accessible'(sK0,sK3(X1,X2))
& ( ~ entry_box(sK3(X1,X2),X2)
| ~ number(sK3(X1,X2),X2,one)
| ~ userid(sK3(X1,X2),u,X1) ) ) )
| ~ '$ki_exists_in_world_$i'(sK0,X3) )
| ~ '$ki_exists_in_world_$i'(sK0,X2) )
| ~ '$ki_exists_in_world_$i'(sK0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f21,f25,f24,f23,f22]) ).
tff(f22,plain,
( ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ '$ki_exists_in_world_$i'(X0,X4)
| ? [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
& ? [X6] :
( do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6)
& ~ in(X5,X1,X2,X6) ) )
| ? [X7: '$ki_world'] :
( '$ki_accessible'(X0,X7)
& ( ~ entry_box(X7,X2)
| ~ number(X7,X2,one)
| ~ userid(X7,u,X1) ) ) )
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) ) )
=> ( '$ki_accessible'('$ki_local_world',sK0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ '$ki_exists_in_world_$i'(sK0,X4)
| ? [X5: '$ki_world'] :
( '$ki_accessible'(sK0,X5)
& ? [X6] :
( do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6)
& ~ in(X5,X1,X2,X6) ) )
| ? [X7: '$ki_world'] :
( '$ki_accessible'(sK0,X7)
& ( ~ entry_box(X7,X2)
| ~ number(X7,X2,one)
| ~ userid(X7,u,X1) ) ) )
| ~ '$ki_exists_in_world_$i'(sK0,X3) )
| ~ '$ki_exists_in_world_$i'(sK0,X2) )
| ~ '$ki_exists_in_world_$i'(sK0,X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
! [X1,X2,X3,X4] :
( ? [X5: '$ki_world'] :
( '$ki_accessible'(sK0,X5)
& ? [X6] :
( do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6)
& ~ in(X5,X1,X2,X6) ) )
=> ( '$ki_accessible'(sK0,sK1(X1,X2,X3,X4))
& ? [X6] :
( do(sK1(X1,X2,X3,X4),X4,X3,X6)
& '$ki_exists_in_world_$i'(sK1(X1,X2,X3,X4),X6)
& ~ in(sK1(X1,X2,X3,X4),X1,X2,X6) ) ) ),
introduced(choice_axiom,[]) ).
tff(f24,plain,
! [X1,X2,X3,X4] :
( ? [X6] :
( do(sK1(X1,X2,X3,X4),X4,X3,X6)
& '$ki_exists_in_world_$i'(sK1(X1,X2,X3,X4),X6)
& ~ in(sK1(X1,X2,X3,X4),X1,X2,X6) )
=> ( do(sK1(X1,X2,X3,X4),X4,X3,sK2(X1,X2,X3,X4))
& '$ki_exists_in_world_$i'(sK1(X1,X2,X3,X4),sK2(X1,X2,X3,X4))
& ~ in(sK1(X1,X2,X3,X4),X1,X2,sK2(X1,X2,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f25,plain,
! [X1,X2] :
( ? [X7: '$ki_world'] :
( '$ki_accessible'(sK0,X7)
& ( ~ entry_box(X7,X2)
| ~ number(X7,X2,one)
| ~ userid(X7,u,X1) ) )
=> ( '$ki_accessible'(sK0,sK3(X1,X2))
& ( ~ entry_box(sK3(X1,X2),X2)
| ~ number(sK3(X1,X2),X2,one)
| ~ userid(sK3(X1,X2),u,X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ '$ki_exists_in_world_$i'(X0,X4)
| ? [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
& ? [X6] :
( do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6)
& ~ in(X5,X1,X2,X6) ) )
| ? [X7: '$ki_world'] :
( '$ki_accessible'(X0,X7)
& ( ~ entry_box(X7,X2)
| ~ number(X7,X2,one)
| ~ userid(X7,u,X1) ) ) )
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(rectify,[],[f20]) ).
tff(f20,plain,
? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ '$ki_exists_in_world_$i'(X0,X4)
| ? [X6: '$ki_world'] :
( '$ki_accessible'(X0,X6)
& ? [X7] :
( do(X6,X4,X3,X7)
& '$ki_exists_in_world_$i'(X6,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,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
? [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X6: '$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'] :
( '$ki_accessible'(X0,X5)
& ( ~ entry_box(X5,X2)
| ~ number(X5,X2,one)
| ~ userid(X5,u,X1) ) )
| ~ '$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_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( ? [X2] :
( ? [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)
=> ( number(X5,X2,one)
& entry_box(X5,X2)
& userid(X5,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'] :
( '$ki_accessible'(X0,X4)
=> ( userid(X4,u,X3)
& entry_box(X4,X5)
& number(X4,X5,one) ) )
& ! [X4: '$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_$i'(X0,X6) )
& '$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)
=> ( userid(X4,u,X3)
& entry_box(X4,X5)
& number(X4,X5,one) ) )
& ! [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,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/benchmark/theBenchmark.p',verify) ).
tff(f69,plain,
! [X2: '$ki_world',X1: '$ki_world'] : userid(X1,u,sK7(X2)),
inference(subsumption_resolution,[],[f68,f53]) ).
tff(f68,plain,
! [X2: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X2,X1)
| userid(X1,u,sK7(X2)) ),
inference(resolution,[],[f50,f53]) ).
tff(f50,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| userid(X2,u,sK7(X0))
| ~ '$ki_accessible'(X0,X2) ),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ( '$ki_exists_in_world_$i'(X0,sK7(X0))
& ! [X2: '$ki_world'] :
( ( string(X2,sK7(X0))
& userid(X2,u,sK7(X0)) )
| ~ '$ki_accessible'(X0,X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f17,f33]) ).
tff(f33,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& ! [X2: '$ki_world'] :
( ( string(X2,X1)
& userid(X2,u,X1) )
| ~ '$ki_accessible'(X0,X2) ) )
=> ( '$ki_exists_in_world_$i'(X0,sK7(X0))
& ! [X2: '$ki_world'] :
( ( string(X2,sK7(X0))
& userid(X2,u,sK7(X0)) )
| ~ '$ki_accessible'(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& ! [X2: '$ki_world'] :
( ( string(X2,X1)
& userid(X2,u,X1) )
| ~ '$ki_accessible'(X0,X2) ) ) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
! [X0: '$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'] :
( '$ki_accessible'(X0,X4)
=> ( userid(X4,u,X3)
& string(X4,X3) ) )
& '$ki_exists_in_world_$i'(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f92,plain,
! [X2: $i,X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: $i] :
( in(sK1(sK7(X0),sK6,sK4(X1,X2,sK7(X3),X4),X2),sK7(X3),X4,sK2(sK7(X0),sK6,sK4(X1,X2,sK7(X3),X4),X2))
| ~ entry_box(X1,X4) ),
inference(subsumption_resolution,[],[f91,f64]) ).
tff(f91,plain,
! [X2: $i,X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: $i] :
( in(sK1(sK7(X0),sK6,sK4(X1,X2,sK7(X3),X4),X2),sK7(X3),X4,sK2(sK7(X0),sK6,sK4(X1,X2,sK7(X3),X4),X2))
| ~ number(sK3(sK7(X0),sK6),sK6,one)
| ~ entry_box(X1,X4) ),
inference(resolution,[],[f90,f62]) ).
tff(f90,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: $i] :
( ~ entry_box(sK3(sK7(X0),X1),X1)
| ~ number(sK3(sK7(X0),X1),X1,one)
| in(sK1(sK7(X0),X1,sK4(X2,X3,sK7(X4),X5),X3),sK7(X4),X5,sK2(sK7(X0),X1,sK4(X2,X3,sK7(X4),X5),X3))
| ~ entry_box(X2,X5) ),
inference(resolution,[],[f89,f78]) ).
tff(f78,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i] :
( do(sK1(sK7(X2),X0,X3,X1),X1,X3,sK2(sK7(X2),X0,X3,X1))
| ~ number(sK3(sK7(X2),X0),X0,one)
| ~ entry_box(sK3(sK7(X2),X0),X0) ),
inference(subsumption_resolution,[],[f77,f54]) ).
tff(f77,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK0,X3)
| ~ entry_box(sK3(sK7(X2),X0),X0)
| ~ number(sK3(sK7(X2),X0),X0,one)
| do(sK1(sK7(X2),X0,X3,X1),X1,X3,sK2(sK7(X2),X0,X3,X1)) ),
inference(subsumption_resolution,[],[f76,f54]) ).
tff(f76,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK0,X1)
| do(sK1(sK7(X2),X0,X3,X1),X1,X3,sK2(sK7(X2),X0,X3,X1))
| ~ number(sK3(sK7(X2),X0),X0,one)
| ~ '$ki_exists_in_world_$i'(sK0,X3)
| ~ entry_box(sK3(sK7(X2),X0),X0) ),
inference(subsumption_resolution,[],[f75,f54]) ).
tff(f75,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i] :
( do(sK1(sK7(X2),X0,X3,X1),X1,X3,sK2(sK7(X2),X0,X3,X1))
| ~ '$ki_exists_in_world_$i'(sK0,sK7(X2))
| ~ number(sK3(sK7(X2),X0),X0,one)
| ~ '$ki_exists_in_world_$i'(sK0,X3)
| ~ entry_box(sK3(sK7(X2),X0),X0)
| ~ '$ki_exists_in_world_$i'(sK0,X1) ),
inference(subsumption_resolution,[],[f71,f54]) ).
tff(f71,plain,
! [X2: '$ki_world',X3: $i,X0: $i,X1: $i] :
( ~ '$ki_exists_in_world_$i'(sK0,X0)
| ~ number(sK3(sK7(X2),X0),X0,one)
| ~ '$ki_exists_in_world_$i'(sK0,X3)
| ~ '$ki_exists_in_world_$i'(sK0,X1)
| ~ entry_box(sK3(sK7(X2),X0),X0)
| do(sK1(sK7(X2),X0,X3,X1),X1,X3,sK2(sK7(X2),X0,X3,X1))
| ~ '$ki_exists_in_world_$i'(sK0,sK7(X2)) ),
inference(resolution,[],[f69,f39]) ).
tff(f39,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ userid(sK3(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK0,X2)
| ~ '$ki_exists_in_world_$i'(sK0,X4)
| ~ '$ki_exists_in_world_$i'(sK0,X1)
| ~ entry_box(sK3(X1,X2),X2)
| ~ number(sK3(X1,X2),X2,one)
| do(sK1(X1,X2,X3,X4),X4,X3,sK2(X1,X2,X3,X4))
| ~ '$ki_exists_in_world_$i'(sK0,X3) ),
inference(cnf_transformation,[],[f26]) ).
tff(f89,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: $i] :
( ~ do(X2,X3,sK4(X0,X3,sK7(X4),X1),X5)
| in(X2,sK7(X4),X1,X5)
| ~ entry_box(X0,X1) ),
inference(subsumption_resolution,[],[f88,f54]) ).
tff(f88,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: $i] :
( ~ do(X2,X3,sK4(X0,X3,sK7(X4),X1),X5)
| ~ entry_box(X0,X1)
| ~ '$ki_exists_in_world_$i'(X0,X3)
| in(X2,sK7(X4),X1,X5) ),
inference(subsumption_resolution,[],[f87,f53]) ).
tff(f87,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: $i] :
( in(X2,sK7(X4),X1,X5)
| ~ '$ki_accessible'(X0,X2)
| ~ entry_box(X0,X1)
| ~ do(X2,X3,sK4(X0,X3,sK7(X4),X1),X5)
| ~ '$ki_exists_in_world_$i'(X0,X3) ),
inference(subsumption_resolution,[],[f86,f53]) ).
tff(f86,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: $i] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ do(X2,X3,sK4(X0,X3,sK7(X4),X1),X5)
| in(X2,sK7(X4),X1,X5)
| ~ '$ki_exists_in_world_$i'(X0,X3)
| ~ '$ki_accessible'(X0,X2)
| ~ entry_box(X0,X1) ),
inference(subsumption_resolution,[],[f85,f54]) ).
tff(f85,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: $i] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| in(X2,sK7(X4),X1,X5)
| ~ '$ki_accessible'(X0,X2)
| ~ do(X2,X3,sK4(X0,X3,sK7(X4),X1),X5)
| ~ '$ki_exists_in_world_$i'(X0,X3)
| ~ entry_box(X0,X1) ),
inference(subsumption_resolution,[],[f84,f54]) ).
tff(f84,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: $i] :
( ~ '$ki_exists_in_world_$i'(X2,X5)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ do(X2,X3,sK4(X0,X3,sK7(X4),X1),X5)
| ~ '$ki_exists_in_world_$i'(X0,X3)
| ~ entry_box(X0,X1)
| in(X2,sK7(X4),X1,X5)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,X2) ),
inference(subsumption_resolution,[],[f83,f54]) ).
tff(f83,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: $i] :
( ~ entry_box(X0,X1)
| ~ '$ki_exists_in_world_$i'(X0,sK7(X4))
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_exists_in_world_$i'(X2,X5)
| ~ do(X2,X3,sK4(X0,X3,sK7(X4),X1),X5)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,X2)
| in(X2,sK7(X4),X1,X5)
| ~ '$ki_exists_in_world_$i'(X0,X3) ),
inference(resolution,[],[f44,f56]) ).
tff(f56,plain,
! [X2: '$ki_world',X0: '$ki_world'] : string(X2,sK7(X0)),
inference(subsumption_resolution,[],[f55,f53]) ).
tff(f55,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| string(X2,sK7(X0)) ),
inference(subsumption_resolution,[],[f51,f53]) ).
tff(f51,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| string(X2,sK7(X0))
| ~ '$ki_accessible'(X0,X2) ),
inference(cnf_transformation,[],[f34]) ).
tff(f44,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( ~ string(X0,X2)
| ~ entry_box(X0,X3)
| ~ do(X5,X1,sK4(X0,X1,X2,X3),X6)
| in(X5,X2,X3,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_exists_in_world_$i'(X0,X2)
| ~ '$ki_accessible'(X0,X5) ),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0: '$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] :
( ~ entry_box(X0,X3)
| ( '$ki_exists_in_world_$i'(X0,sK4(X0,X1,X2,X3))
& ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X0,X5)
| ! [X6] :
( in(X5,X2,X3,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| ~ do(X5,X1,sK4(X0,X1,X2,X3),X6) ) ) )
| ~ string(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X3) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f16,f27]) ).
tff(f27,plain,
! [X0: '$ki_world',X1,X2,X3] :
( ? [X4] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X0,X5)
| ! [X6] :
( in(X5,X2,X3,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| ~ do(X5,X1,X4,X6) ) ) )
=> ( '$ki_exists_in_world_$i'(X0,sK4(X0,X1,X2,X3))
& ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X0,X5)
| ! [X6] :
( in(X5,X2,X3,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| ~ do(X5,X1,sK4(X0,X1,X2,X3),X6) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
! [X0: '$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] :
( ~ entry_box(X0,X3)
| ? [X4] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X0,X5)
| ! [X6] :
( in(X5,X2,X3,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| ~ do(X5,X1,X4,X6) ) ) )
| ~ string(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X3) ) ) ) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ? [X4] :
( '$ki_exists_in_world_$i'(X0,X4)
& ! [X5: '$ki_world'] :
( ! [X6] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,X4,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) ) )
| ~ string(X0,X2)
| ~ entry_box(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: '$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)
=> ( ( string(X0,X2)
& entry_box(X0,X3) )
=> ? [X4] :
( '$ki_exists_in_world_$i'(X0,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) ) ) ) ) ) ) ) ) ),
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_$i'(X0,X5)
=> ( ( string(X0,X3)
& entry_box(X0,X5) )
=> ? [X7] :
( '$ki_exists_in_world_$i'(X0,X7)
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X8] :
( '$ki_exists_in_world_$i'(X4,X8)
=> ( do(X4,X6,X7,X8)
=> in(X4,X3,X5,X8) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NLP266_23 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 22 12:26:27 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % (1245)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 (3000ds/191324Mi)
% 0.19/0.48 % (1269)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.19/0.48 % (1246)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.48 % (1254)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.48 % (1254)Instruction limit reached!
% 0.19/0.48 % (1254)------------------------------
% 0.19/0.48 % (1254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (1254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (1254)Termination reason: Unknown
% 0.19/0.48 % (1254)Termination phase: Preprocessing 3
% 0.19/0.48
% 0.19/0.48 % (1254)Memory used [KB]: 895
% 0.19/0.48 % (1254)Time elapsed: 0.002 s
% 0.19/0.48 % (1254)Instructions burned: 2 (million)
% 0.19/0.48 % (1254)------------------------------
% 0.19/0.48 % (1254)------------------------------
% 0.19/0.48 TRYING [1]
% 0.19/0.48 % (1269)First to succeed.
% 0.19/0.48 % (1246)Refutation not found, incomplete strategy% (1246)------------------------------
% 0.19/0.48 % (1246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (1246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (1246)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (1246)Memory used [KB]: 5373
% 0.19/0.48 % (1246)Time elapsed: 0.087 s
% 0.19/0.48 % (1246)Instructions burned: 3 (million)
% 0.19/0.48 % (1246)------------------------------
% 0.19/0.48 % (1246)------------------------------
% 0.19/0.49 % (1269)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (1269)------------------------------
% 0.19/0.49 % (1269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (1269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (1269)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (1269)Memory used [KB]: 5500
% 0.19/0.49 % (1269)Time elapsed: 0.084 s
% 0.19/0.49 % (1269)Instructions burned: 3 (million)
% 0.19/0.49 % (1269)------------------------------
% 0.19/0.49 % (1269)------------------------------
% 0.19/0.49 % (1242)Success in time 0.145 s
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