TSTP Solution File: LCL953_8 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL953_8 : 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_uns --cores 0 -t %d %s
% Computer : n011.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 15:38:39 EDT 2023
% Result : Theorem 1.39s 0.54s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of formulae : 53 ( 12 unt; 17 typ; 0 def)
% Number of atoms : 330 ( 0 equ)
% Maximal formula atoms : 20 ( 9 avg)
% Number of connectives : 306 ( 95 ~; 57 |; 101 &)
% ( 0 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 83 ( 83 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 26 ( 11 >; 15 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 167 (; 96 !; 71 ?; 133 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_2,type,
sK0: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_3,type,
sK1: '$ki_world' ).
tff(func_def_5,type,
sK3: '$ki_world' ).
tff(func_def_7,type,
sK5: '$ki_world' ).
tff(func_def_8,type,
sK6: '$ki_world' ).
tff(func_def_9,type,
sK7: '$ki_world' > '$ki_world' ).
tff(func_def_10,type,
sK8: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_11,type,
sK9: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_12,type,
sK10: '$ki_world' > $i ).
tff(func_def_13,type,
sK11: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
in: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_3,type,
disjoint: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_4,type,
empty: ( '$ki_world' * $i ) > $o ).
tff(pred_def_5,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(f75,plain,
$false,
inference(subsumption_resolution,[],[f74,f72]) ).
tff(f72,plain,
'$ki_accessible'(sK0(sK2,sK4,sK5),sK7(sK0(sK2,sK4,sK5))),
inference(unit_resulting_resolution,[],[f61,f47]) ).
tff(f47,plain,
! [X6: '$ki_world'] :
( '$ki_accessible'(X6,sK7(X6))
| ~ '$ki_accessible'(sK5,X6) ),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
( '$ki_accessible'('$ki_local_world',sK1)
& '$ki_exists_in_world_$i'(sK3,sK4)
& ~ disjoint(sK6,singleton(sK2),sK4)
& '$ki_accessible'(sK5,sK6)
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(sK5,X6)
| ( ~ in(sK7(X6),sK2,sK4)
& '$ki_accessible'(X6,sK7(X6)) ) )
& '$ki_accessible'(sK3,sK5)
& '$ki_accessible'(sK1,sK3)
& '$ki_exists_in_world_$i'(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f24,f31,f30,f29,f28,f27,f26,f25]) ).
tff(f25,plain,
( ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ? [X1] :
( ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(X1),X3)
& '$ki_accessible'(X4,X5) )
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| ? [X7: '$ki_world'] :
( ~ in(X7,X1,X3)
& '$ki_accessible'(X6,X7) ) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) ) )
=> ( '$ki_accessible'('$ki_local_world',sK1)
& ? [X1] :
( ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(X1),X3)
& '$ki_accessible'(X4,X5) )
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| ? [X7: '$ki_world'] :
( ~ in(X7,X1,X3)
& '$ki_accessible'(X6,X7) ) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(sK1,X2) )
& '$ki_exists_in_world_$i'(sK1,X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f26,plain,
( ? [X1] :
( ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(X1),X3)
& '$ki_accessible'(X4,X5) )
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| ? [X7: '$ki_world'] :
( ~ in(X7,X1,X3)
& '$ki_accessible'(X6,X7) ) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(sK1,X2) )
& '$ki_exists_in_world_$i'(sK1,X1) )
=> ( ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(sK2),X3)
& '$ki_accessible'(X4,X5) )
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| ? [X7: '$ki_world'] :
( ~ in(X7,sK2,X3)
& '$ki_accessible'(X6,X7) ) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(sK1,X2) )
& '$ki_exists_in_world_$i'(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f27,plain,
( ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(sK2),X3)
& '$ki_accessible'(X4,X5) )
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| ? [X7: '$ki_world'] :
( ~ in(X7,sK2,X3)
& '$ki_accessible'(X6,X7) ) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(sK1,X2) )
=> ( ? [X3] :
( '$ki_exists_in_world_$i'(sK3,X3)
& ? [X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(sK2),X3)
& '$ki_accessible'(X4,X5) )
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| ? [X7: '$ki_world'] :
( ~ in(X7,sK2,X3)
& '$ki_accessible'(X6,X7) ) )
& '$ki_accessible'(sK3,X4) ) )
& '$ki_accessible'(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
tff(f28,plain,
( ? [X3] :
( '$ki_exists_in_world_$i'(sK3,X3)
& ? [X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(sK2),X3)
& '$ki_accessible'(X4,X5) )
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| ? [X7: '$ki_world'] :
( ~ in(X7,sK2,X3)
& '$ki_accessible'(X6,X7) ) )
& '$ki_accessible'(sK3,X4) ) )
=> ( '$ki_exists_in_world_$i'(sK3,sK4)
& ? [X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(sK2),sK4)
& '$ki_accessible'(X4,X5) )
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| ? [X7: '$ki_world'] :
( ~ in(X7,sK2,sK4)
& '$ki_accessible'(X6,X7) ) )
& '$ki_accessible'(sK3,X4) ) ) ),
introduced(choice_axiom,[]) ).
tff(f29,plain,
( ? [X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(sK2),sK4)
& '$ki_accessible'(X4,X5) )
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| ? [X7: '$ki_world'] :
( ~ in(X7,sK2,sK4)
& '$ki_accessible'(X6,X7) ) )
& '$ki_accessible'(sK3,X4) )
=> ( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(sK2),sK4)
& '$ki_accessible'(sK5,X5) )
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(sK5,X6)
| ? [X7: '$ki_world'] :
( ~ in(X7,sK2,sK4)
& '$ki_accessible'(X6,X7) ) )
& '$ki_accessible'(sK3,sK5) ) ),
introduced(choice_axiom,[]) ).
tff(f30,plain,
( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(sK2),sK4)
& '$ki_accessible'(sK5,X5) )
=> ( ~ disjoint(sK6,singleton(sK2),sK4)
& '$ki_accessible'(sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
tff(f31,plain,
! [X6: '$ki_world'] :
( ? [X7: '$ki_world'] :
( ~ in(X7,sK2,sK4)
& '$ki_accessible'(X6,X7) )
=> ( ~ in(sK7(X6),sK2,sK4)
& '$ki_accessible'(X6,sK7(X6)) ) ),
introduced(choice_axiom,[]) ).
tff(f24,plain,
? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ? [X1] :
( ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ disjoint(X5,singleton(X1),X3)
& '$ki_accessible'(X4,X5) )
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| ? [X7: '$ki_world'] :
( ~ in(X7,X1,X3)
& '$ki_accessible'(X6,X7) ) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ? [X1] :
( ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X7: '$ki_world'] :
( ~ disjoint(X7,singleton(X1),X3)
& '$ki_accessible'(X4,X7) )
& ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X4,X5)
| ? [X6: '$ki_world'] :
( ~ in(X6,X1,X3)
& '$ki_accessible'(X5,X6) ) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X0: '$ki_world'] :
( ? [X1] :
( ? [X2: '$ki_world'] :
( ? [X3] :
( ? [X4: '$ki_world'] :
( ? [X7: '$ki_world'] :
( ~ disjoint(X7,singleton(X1),X3)
& '$ki_accessible'(X4,X7) )
& ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X4,X5)
| ? [X6: '$ki_world'] :
( ~ in(X6,X1,X3)
& '$ki_accessible'(X5,X6) ) )
& '$ki_accessible'(X2,X4) )
& '$ki_exists_in_world_$i'(X2,X3) )
& '$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'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X2,X4)
=> ( ! [X5: '$ki_world'] :
( '$ki_accessible'(X4,X5)
=> ~ ! [X6: '$ki_world'] :
( '$ki_accessible'(X5,X6)
=> in(X6,X1,X3) ) )
=> ! [X7: '$ki_world'] :
( '$ki_accessible'(X4,X7)
=> disjoint(X7,singleton(X1),X3) ) ) ) ) ) ) ),
inference(rectify,[],[f9]) ).
tff(f9,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X2] :
( '$ki_exists_in_world_$i'(X0,X2)
=> ! [X3: '$ki_world'] :
( '$ki_accessible'(X0,X3)
=> ! [X4] :
( '$ki_exists_in_world_$i'(X3,X4)
=> ! [X5: '$ki_world'] :
( '$ki_accessible'(X3,X5)
=> ( ! [X6: '$ki_world'] :
( '$ki_accessible'(X5,X6)
=> ~ ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> in(X7,X2,X4) ) )
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X5,X6)
=> disjoint(X6,singleton(X2),X4) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f8]) ).
tff(f8,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X2] :
( '$ki_exists_in_world_$i'(X0,X2)
=> ! [X3: '$ki_world'] :
( '$ki_accessible'(X0,X3)
=> ! [X4] :
( '$ki_exists_in_world_$i'(X3,X4)
=> ! [X5: '$ki_world'] :
( '$ki_accessible'(X3,X5)
=> ( ! [X6: '$ki_world'] :
( '$ki_accessible'(X5,X6)
=> ~ ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> in(X7,X2,X4) ) )
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X5,X6)
=> disjoint(X6,singleton(X2),X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f61,plain,
'$ki_accessible'(sK5,sK0(sK2,sK4,sK5)),
inference(unit_resulting_resolution,[],[f45,f46,f51,f52,f44,f49,f50,f42]) ).
tff(f42,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X7: '$ki_world',X4: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'(X4,X7)
| '$ki_accessible'(X4,sK0(X1,X3,X4))
| ~ '$ki_accessible'(X0,X2)
| disjoint(X7,singleton(X1),X3)
| ~ '$ki_accessible'(X2,X4)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ! [X2: '$ki_world'] :
( ! [X3] :
( ~ '$ki_exists_in_world_$i'(X2,X3)
| ! [X4: '$ki_world'] :
( ~ '$ki_accessible'(X2,X4)
| ( ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(sK0(X1,X3,X4),X6)
| in(X6,X1,X3) )
& '$ki_accessible'(X4,sK0(X1,X3,X4)) )
| ! [X7: '$ki_world'] :
( ~ '$ki_accessible'(X4,X7)
| disjoint(X7,singleton(X1),X3) ) ) )
| ~ '$ki_accessible'(X0,X2) ) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).
tff(f22,plain,
! [X1,X3,X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X5,X6)
| in(X6,X1,X3) )
& '$ki_accessible'(X4,X5) )
=> ( ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(sK0(X1,X3,X4),X6)
| in(X6,X1,X3) )
& '$ki_accessible'(X4,sK0(X1,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ! [X2: '$ki_world'] :
( ! [X3] :
( ~ '$ki_exists_in_world_$i'(X2,X3)
| ! [X4: '$ki_world'] :
( ~ '$ki_accessible'(X2,X4)
| ? [X5: '$ki_world'] :
( ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X5,X6)
| in(X6,X1,X3) )
& '$ki_accessible'(X4,X5) )
| ! [X7: '$ki_world'] :
( ~ '$ki_accessible'(X4,X7)
| disjoint(X7,singleton(X1),X3) ) ) )
| ~ '$ki_accessible'(X0,X2) ) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f20]) ).
tff(f20,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( ! [X3] :
( ! [X4: '$ki_world'] :
( ! [X7: '$ki_world'] :
( ~ '$ki_accessible'(X4,X7)
| disjoint(X7,singleton(X1),X3) )
| ? [X5: '$ki_world'] :
( ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X5,X6)
| in(X6,X1,X3) )
& '$ki_accessible'(X4,X5) )
| ~ '$ki_accessible'(X2,X4) )
| ~ '$ki_exists_in_world_$i'(X2,X3) )
| ~ '$ki_accessible'(X0,X2) )
| ~ '$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: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X2,X4)
=> ( ! [X5: '$ki_world'] :
( '$ki_accessible'(X4,X5)
=> ~ ! [X6: '$ki_world'] :
( '$ki_accessible'(X5,X6)
=> in(X6,X1,X3) ) )
=> ! [X7: '$ki_world'] :
( '$ki_accessible'(X4,X7)
=> disjoint(X7,singleton(X1),X3) ) ) ) ) ) ) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X2] :
( '$ki_exists_in_world_$i'(X0,X2)
=> ! [X3: '$ki_world'] :
( '$ki_accessible'(X0,X3)
=> ! [X4] :
( '$ki_exists_in_world_$i'(X3,X4)
=> ! [X5: '$ki_world'] :
( '$ki_accessible'(X3,X5)
=> ( ! [X6: '$ki_world'] :
( '$ki_accessible'(X5,X6)
=> ~ ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> in(X7,X2,X4) ) )
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X5,X6)
=> disjoint(X6,singleton(X2),X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).
tff(f50,plain,
~ disjoint(sK6,singleton(sK2),sK4),
inference(cnf_transformation,[],[f32]) ).
tff(f49,plain,
'$ki_accessible'(sK5,sK6),
inference(cnf_transformation,[],[f32]) ).
tff(f44,plain,
'$ki_exists_in_world_$i'(sK1,sK2),
inference(cnf_transformation,[],[f32]) ).
tff(f52,plain,
'$ki_accessible'('$ki_local_world',sK1),
inference(cnf_transformation,[],[f32]) ).
tff(f51,plain,
'$ki_exists_in_world_$i'(sK3,sK4),
inference(cnf_transformation,[],[f32]) ).
tff(f46,plain,
'$ki_accessible'(sK3,sK5),
inference(cnf_transformation,[],[f32]) ).
tff(f45,plain,
'$ki_accessible'(sK1,sK3),
inference(cnf_transformation,[],[f32]) ).
tff(f74,plain,
~ '$ki_accessible'(sK0(sK2,sK4,sK5),sK7(sK0(sK2,sK4,sK5))),
inference(unit_resulting_resolution,[],[f52,f45,f44,f46,f49,f51,f50,f71,f43]) ).
tff(f43,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X6: '$ki_world',X7: '$ki_world',X4: '$ki_world'] :
( ~ '$ki_accessible'(sK0(X1,X3,X4),X6)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| disjoint(X7,singleton(X1),X3)
| ~ '$ki_accessible'(X4,X7)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'(X2,X4)
| ~ '$ki_accessible'(X0,X2)
| in(X6,X1,X3) ),
inference(cnf_transformation,[],[f23]) ).
tff(f71,plain,
~ in(sK7(sK0(sK2,sK4,sK5)),sK2,sK4),
inference(unit_resulting_resolution,[],[f61,f48]) ).
tff(f48,plain,
! [X6: '$ki_world'] :
( ~ in(sK7(X6),sK2,sK4)
| ~ '$ki_accessible'(sK5,X6) ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL953_8 : TPTP v8.2.0. Released v8.2.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 22 12:01:06 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.51 % (15969)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.28/0.52 % (15969)First to succeed.
% 1.28/0.52 % (15982)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.28/0.52 % (15987)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.28/0.53 % (15967)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.28/0.53 % (15972)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.28/0.53 % (15979)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.28/0.53 % (15989)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.28/0.53 % (15961)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.28/0.53 % (15964)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.28/0.53 % (15962)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.39/0.53 % (15965)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.39/0.53 % (15968)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.39/0.53 % (15974)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.39/0.54 % (15981)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.54 % (15963)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.54 % (15970)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.39/0.54 % (15969)Refutation found. Thanks to Tanya!
% 1.39/0.54 % SZS status Theorem for theBenchmark
% 1.39/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.54 % (15969)------------------------------
% 1.39/0.54 % (15969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54 % (15969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54 % (15969)Termination reason: Refutation
% 1.39/0.54
% 1.39/0.54 % (15969)Memory used [KB]: 6140
% 1.39/0.54 % (15969)Time elapsed: 0.107 s
% 1.39/0.54 % (15969)Instructions burned: 11 (million)
% 1.39/0.54 % (15969)------------------------------
% 1.39/0.54 % (15969)------------------------------
% 1.39/0.54 % (15959)Success in time 0.183 s
%------------------------------------------------------------------------------