TSTP Solution File: LCL950_17 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL950_17 : 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 : n032.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 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 35
% Syntax : Number of formulae : 79 ( 11 unt; 17 typ; 0 def)
% Number of atoms : 636 ( 0 equ)
% Maximal formula atoms : 26 ( 10 avg)
% Number of connectives : 716 ( 232 ~; 201 |; 193 &)
% ( 0 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 90 ( 90 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 26 ( 10 >; 16 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 409 (; 297 !; 112 ?; 322 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_1,type,
sK0: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_2,type,
sK1: '$ki_world' > $i ).
tff(func_def_3,type,
sK2: ( $i * $i * '$ki_world' ) > $i ).
tff(func_def_4,type,
sK3: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_5,type,
sK4: ( $i * '$ki_world' * $i ) > '$ki_world' ).
tff(func_def_6,type,
sK5: ( $i * '$ki_world' * $i ) > '$ki_world' ).
tff(func_def_7,type,
sK6: '$ki_world' ).
tff(func_def_9,type,
sK8: '$ki_world' ).
tff(func_def_11,type,
sK10: '$ki_world' ).
tff(func_def_13,type,
sK12: '$ki_world' ).
tff(func_def_14,type,
sK13: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
intersect: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_3,type,
member: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_4,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(f121,plain,
$false,
inference(resolution,[],[f115,f61]) ).
tff(f61,plain,
~ intersect(sK13,sK9,sK11),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
( '$ki_exists_in_world_$i'(sK6,sK7)
& '$ki_exists_in_world_$i'(sK8,sK9)
& '$ki_accessible'(sK10,sK12)
& ! [X7: '$ki_world'] :
( member(X7,sK7,sK9)
| ~ '$ki_accessible'(sK12,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(sK12,X8)
| member(X8,sK7,sK11) )
& ~ intersect(sK13,sK9,sK11)
& '$ki_accessible'(sK12,sK13)
& '$ki_exists_in_world_$i'(sK10,sK11)
& '$ki_accessible'(sK8,sK10)
& '$ki_accessible'(sK6,sK8)
& '$ki_accessible'('$ki_local_world',sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f31,f39,f38,f37,f36,f35,f34,f33,f32]) ).
tff(f32,plain,
( ? [X0: '$ki_world'] :
( ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
& ! [X7: '$ki_world'] :
( member(X7,X1,X3)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,X1,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,X3,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(X0,X2) ) )
& '$ki_accessible'('$ki_local_world',X0) )
=> ( ? [X1] :
( '$ki_exists_in_world_$i'(sK6,X1)
& ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
& ! [X7: '$ki_world'] :
( member(X7,X1,X3)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,X1,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,X3,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(sK6,X2) ) )
& '$ki_accessible'('$ki_local_world',sK6) ) ),
introduced(choice_axiom,[]) ).
tff(f33,plain,
( ? [X1] :
( '$ki_exists_in_world_$i'(sK6,X1)
& ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
& ! [X7: '$ki_world'] :
( member(X7,X1,X3)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,X1,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,X3,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(sK6,X2) ) )
=> ( '$ki_exists_in_world_$i'(sK6,sK7)
& ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
& ! [X7: '$ki_world'] :
( member(X7,sK7,X3)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,sK7,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,X3,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(sK6,X2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f34,plain,
( ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
& ! [X7: '$ki_world'] :
( member(X7,sK7,X3)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,sK7,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,X3,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(sK6,X2) )
=> ( ? [X3] :
( '$ki_exists_in_world_$i'(sK8,X3)
& ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
& ! [X7: '$ki_world'] :
( member(X7,sK7,X3)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,sK7,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,X3,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(sK8,X4) ) )
& '$ki_accessible'(sK6,sK8) ) ),
introduced(choice_axiom,[]) ).
tff(f35,plain,
( ? [X3] :
( '$ki_exists_in_world_$i'(sK8,X3)
& ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
& ! [X7: '$ki_world'] :
( member(X7,sK7,X3)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,sK7,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,X3,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(sK8,X4) ) )
=> ( '$ki_exists_in_world_$i'(sK8,sK9)
& ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
& ! [X7: '$ki_world'] :
( member(X7,sK7,sK9)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,sK7,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,sK9,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(sK8,X4) ) ) ),
introduced(choice_axiom,[]) ).
tff(f36,plain,
( ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
& ! [X7: '$ki_world'] :
( member(X7,sK7,sK9)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,sK7,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,sK9,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(sK8,X4) )
=> ( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(sK10,X6)
& ! [X7: '$ki_world'] :
( member(X7,sK7,sK9)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,sK7,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,sK9,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(sK10,X5) )
& '$ki_accessible'(sK8,sK10) ) ),
introduced(choice_axiom,[]) ).
tff(f37,plain,
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(sK10,X6)
& ! [X7: '$ki_world'] :
( member(X7,sK7,sK9)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,sK7,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,sK9,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(sK10,X5) )
=> ( ? [X6: '$ki_world'] :
( '$ki_accessible'(sK10,X6)
& ! [X7: '$ki_world'] :
( member(X7,sK7,sK9)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,sK7,sK11) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,sK9,sK11)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(sK10,sK11) ) ),
introduced(choice_axiom,[]) ).
tff(f38,plain,
( ? [X6: '$ki_world'] :
( '$ki_accessible'(sK10,X6)
& ! [X7: '$ki_world'] :
( member(X7,sK7,sK9)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,sK7,sK11) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,sK9,sK11)
& '$ki_accessible'(X6,X9) ) )
=> ( '$ki_accessible'(sK10,sK12)
& ! [X7: '$ki_world'] :
( member(X7,sK7,sK9)
| ~ '$ki_accessible'(sK12,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(sK12,X8)
| member(X8,sK7,sK11) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,sK9,sK11)
& '$ki_accessible'(sK12,X9) ) ) ),
introduced(choice_axiom,[]) ).
tff(f39,plain,
( ? [X9: '$ki_world'] :
( ~ intersect(X9,sK9,sK11)
& '$ki_accessible'(sK12,X9) )
=> ( ~ intersect(sK13,sK9,sK11)
& '$ki_accessible'(sK12,sK13) ) ),
introduced(choice_axiom,[]) ).
tff(f31,plain,
? [X0: '$ki_world'] :
( ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
& ! [X7: '$ki_world'] :
( member(X7,X1,X3)
| ~ '$ki_accessible'(X6,X7) )
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X6,X8)
| member(X8,X1,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,X3,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(X0,X2) ) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(rectify,[],[f14]) ).
tff(f14,plain,
? [X0: '$ki_world'] :
( ? [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
& ? [X2: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
& ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
& ! [X8: '$ki_world'] :
( member(X8,X1,X3)
| ~ '$ki_accessible'(X6,X8) )
& ! [X7: '$ki_world'] :
( ~ '$ki_accessible'(X6,X7)
| member(X7,X1,X5) )
& ? [X9: '$ki_world'] :
( ~ intersect(X9,X3,X5)
& '$ki_accessible'(X6,X9) ) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(X2,X4) ) )
& '$ki_accessible'(X0,X2) ) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f13]) ).
tff(f13,plain,
? [X0: '$ki_world'] :
( ? [X1] :
( ? [X2: '$ki_world'] :
( ? [X3] :
( ? [X4: '$ki_world'] :
( ? [X5] :
( ? [X6: '$ki_world'] :
( ? [X9: '$ki_world'] :
( ~ intersect(X9,X3,X5)
& '$ki_accessible'(X6,X9) )
& ! [X8: '$ki_world'] :
( member(X8,X1,X3)
| ~ '$ki_accessible'(X6,X8) )
& ! [X7: '$ki_world'] :
( ~ '$ki_accessible'(X6,X7)
| member(X7,X1,X5) )
& '$ki_accessible'(X4,X6) )
& '$ki_exists_in_world_$i'(X4,X5) )
& '$ki_accessible'(X2,X4) )
& '$ki_exists_in_world_$i'(X2,X3) )
& '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ! [X0: '$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] :
( '$ki_exists_in_world_$i'(X4,X5)
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
=> ( ( ! [X8: '$ki_world'] :
( '$ki_accessible'(X6,X8)
=> member(X8,X1,X3) )
& ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> member(X7,X1,X5) ) )
=> ! [X9: '$ki_world'] :
( '$ki_accessible'(X6,X9)
=> intersect(X9,X3,X5) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X5] :
( '$ki_exists_in_world_$i'(X4,X5)
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
=> ! [X8] :
( '$ki_exists_in_world_$i'(X6,X8)
=> ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> ( ( ! [X9: '$ki_world'] :
( '$ki_accessible'(X7,X9)
=> member(X9,X3,X8) )
& ! [X9: '$ki_world'] :
( '$ki_accessible'(X7,X9)
=> member(X9,X3,X5) ) )
=> ! [X9: '$ki_world'] :
( '$ki_accessible'(X7,X9)
=> intersect(X9,X5,X8) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X5] :
( '$ki_exists_in_world_$i'(X4,X5)
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
=> ! [X8] :
( '$ki_exists_in_world_$i'(X6,X8)
=> ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> ( ( ! [X9: '$ki_world'] :
( '$ki_accessible'(X7,X9)
=> member(X9,X3,X8) )
& ! [X9: '$ki_world'] :
( '$ki_accessible'(X7,X9)
=> member(X9,X3,X5) ) )
=> ! [X9: '$ki_world'] :
( '$ki_accessible'(X7,X9)
=> intersect(X9,X5,X8) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f115,plain,
! [X0: '$ki_world'] : intersect(X0,sK9,sK11),
inference(resolution,[],[f112,f86]) ).
tff(f86,plain,
! [X3: $i,X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( ~ intersect(sK0(X1,X3,X4),X1,X3)
| intersect(X5,X3,X1) ),
inference(subsumption_resolution,[],[f85,f44]) ).
tff(f44,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'(X1,X0),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'(X1,X0),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X1: '$ki_world',X0: '$ki_world'] : '$ki_accessible'(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
tff(f85,plain,
! [X2: '$ki_world',X3: $i,X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( intersect(X5,X3,X1)
| ~ '$ki_accessible'(X2,X4)
| ~ intersect(sK0(X1,X3,X4),X1,X3) ),
inference(subsumption_resolution,[],[f84,f43]) ).
tff(f43,plain,
! [X0: $i,X1: '$ki_world'] : '$ki_exists_in_world_$i'(X1,X0),
inference(cnf_transformation,[],[f11]) ).
tff(f11,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(f84,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( ~ intersect(sK0(X1,X3,X4),X1,X3)
| intersect(X5,X3,X1)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'(X2,X4) ),
inference(subsumption_resolution,[],[f83,f43]) ).
tff(f83,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(X2,X3)
| intersect(X5,X3,X1)
| ~ intersect(sK0(X1,X3,X4),X1,X3)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'(X2,X4) ),
inference(subsumption_resolution,[],[f82,f44]) ).
tff(f82,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( intersect(X5,X3,X1)
| ~ intersect(sK0(X1,X3,X4),X1,X3)
| ~ '$ki_accessible'(X4,X5)
| ~ '$ki_accessible'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_exists_in_world_$i'(X0,X1) ),
inference(subsumption_resolution,[],[f81,f44]) ).
tff(f81,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X2,X4)
| intersect(X5,X3,X1)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'(X4,X5)
| ~ intersect(sK0(X1,X3,X4),X1,X3)
| ~ '$ki_exists_in_world_$i'(X0,X1) ),
inference(subsumption_resolution,[],[f42,f44]) ).
tff(f42,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( ~ intersect(sK0(X1,X3,X4),X1,X3)
| ~ '$ki_accessible'(X0,X2)
| intersect(X5,X3,X1)
| ~ '$ki_accessible'(X4,X5)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ! [X1] :
( ! [X2: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| ! [X3] :
( ~ '$ki_exists_in_world_$i'(X2,X3)
| ! [X4: '$ki_world'] :
( ~ '$ki_accessible'(X2,X4)
| ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X4,X5)
| intersect(X5,X3,X1) )
| ( ~ intersect(sK0(X1,X3,X4),X1,X3)
& '$ki_accessible'(X4,sK0(X1,X3,X4)) ) ) ) )
| ~ '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).
tff(f20,plain,
! [X1,X3,X4: '$ki_world'] :
( ? [X6: '$ki_world'] :
( ~ intersect(X6,X1,X3)
& '$ki_accessible'(X4,X6) )
=> ( ~ intersect(sK0(X1,X3,X4),X1,X3)
& '$ki_accessible'(X4,sK0(X1,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f19,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ! [X1] :
( ! [X2: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| ! [X3] :
( ~ '$ki_exists_in_world_$i'(X2,X3)
| ! [X4: '$ki_world'] :
( ~ '$ki_accessible'(X2,X4)
| ! [X5: '$ki_world'] :
( ~ '$ki_accessible'(X4,X5)
| intersect(X5,X3,X1) )
| ? [X6: '$ki_world'] :
( ~ intersect(X6,X1,X3)
& '$ki_accessible'(X4,X6) ) ) ) )
| ~ '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ! [X1] :
( ! [X2: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| ! [X3] :
( ~ '$ki_exists_in_world_$i'(X2,X3)
| ! [X4: '$ki_world'] :
( ~ '$ki_accessible'(X2,X4)
| ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| intersect(X6,X3,X1) )
| ? [X5: '$ki_world'] :
( ~ intersect(X5,X1,X3)
& '$ki_accessible'(X4,X5) ) ) ) )
| ~ '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( ! [X3] :
( ! [X4: '$ki_world'] :
( ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| intersect(X6,X3,X1) )
| ? [X5: '$ki_world'] :
( ~ intersect(X5,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'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
! [X0: '$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)
=> intersect(X5,X1,X3) )
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
=> intersect(X6,X3,X1) ) ) ) ) ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X5] :
( '$ki_exists_in_world_$i'(X4,X5)
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
=> ( ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> intersect(X7,X3,X5) )
=> ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> intersect(X7,X5,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_intersect) ).
tff(f112,plain,
! [X0: '$ki_world'] : intersect(X0,sK11,sK9),
inference(resolution,[],[f107,f93]) ).
tff(f93,plain,
! [X8: '$ki_world'] : member(X8,sK7,sK11),
inference(subsumption_resolution,[],[f62,f44]) ).
tff(f62,plain,
! [X8: '$ki_world'] :
( member(X8,sK7,sK11)
| ~ '$ki_accessible'(sK12,X8) ),
inference(cnf_transformation,[],[f40]) ).
tff(f107,plain,
! [X6: $i,X9: '$ki_world',X5: '$ki_world'] :
( ~ member(sK4(X6,X9,sK7),sK7,X6)
| intersect(X5,X6,sK9) ),
inference(subsumption_resolution,[],[f106,f44]) ).
tff(f106,plain,
! [X8: '$ki_world',X6: $i,X9: '$ki_world',X5: '$ki_world'] :
( ~ member(sK4(X6,X9,sK7),sK7,X6)
| intersect(X5,X6,sK9)
| ~ '$ki_accessible'(X8,X9) ),
inference(subsumption_resolution,[],[f105,f44]) ).
tff(f105,plain,
! [X8: '$ki_world',X6: $i,X9: '$ki_world',X5: '$ki_world'] :
( ~ '$ki_accessible'(X9,X5)
| ~ '$ki_accessible'(X8,X9)
| ~ member(sK4(X6,X9,sK7),sK7,X6)
| intersect(X5,X6,sK9) ),
inference(subsumption_resolution,[],[f104,f44]) ).
tff(f104,plain,
! [X8: '$ki_world',X6: $i,X9: '$ki_world',X7: '$ki_world',X5: '$ki_world'] :
( ~ '$ki_accessible'(X7,X8)
| ~ '$ki_accessible'(X9,X5)
| intersect(X5,X6,sK9)
| ~ member(sK4(X6,X9,sK7),sK7,X6)
| ~ '$ki_accessible'(X8,X9) ),
inference(subsumption_resolution,[],[f103,f44]) ).
tff(f103,plain,
! [X8: '$ki_world',X6: $i,X9: '$ki_world',X7: '$ki_world',X5: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X7)
| ~ '$ki_accessible'(X7,X8)
| ~ '$ki_accessible'(X9,X5)
| intersect(X5,X6,sK9)
| ~ member(sK4(X6,X9,sK7),sK7,X6)
| ~ '$ki_accessible'(X8,X9) ),
inference(subsumption_resolution,[],[f102,f44]) ).
tff(f102,plain,
! [X8: '$ki_world',X6: $i,X9: '$ki_world',X7: '$ki_world',X5: '$ki_world'] :
( intersect(X5,X6,sK9)
| ~ member(sK4(X6,X9,sK7),sK7,X6)
| ~ '$ki_accessible'(sK12,sK5(sK9,X9,sK7))
| ~ '$ki_accessible'(X7,X8)
| ~ '$ki_accessible'(X8,X9)
| ~ '$ki_accessible'('$ki_local_world',X7)
| ~ '$ki_accessible'(X9,X5) ),
inference(resolution,[],[f74,f63]) ).
tff(f63,plain,
! [X7: '$ki_world'] :
( member(X7,sK7,sK9)
| ~ '$ki_accessible'(sK12,X7) ),
inference(cnf_transformation,[],[f40]) ).
tff(f74,plain,
! [X2: '$ki_world',X3: $i,X10: '$ki_world',X0: '$ki_world',X11: $i,X1: $i,X9: '$ki_world'] :
( ~ member(sK5(X3,X9,X11),X11,X3)
| intersect(X10,X1,X3)
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'(X9,X10)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ member(sK4(X1,X9,X11),X11,X1)
| ~ '$ki_accessible'(X2,X9) ),
inference(subsumption_resolution,[],[f73,f43]) ).
tff(f73,plain,
! [X2: '$ki_world',X3: $i,X10: '$ki_world',X0: '$ki_world',X11: $i,X1: $i,X9: '$ki_world'] :
( ~ member(sK5(X3,X9,X11),X11,X3)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X9,X10)
| ~ '$ki_accessible'(X2,X9)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'(X0,X2)
| intersect(X10,X1,X3)
| ~ member(sK4(X1,X9,X11),X11,X1) ),
inference(subsumption_resolution,[],[f72,f43]) ).
tff(f72,plain,
! [X2: '$ki_world',X3: $i,X10: '$ki_world',X0: '$ki_world',X11: $i,X1: $i,X9: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| intersect(X10,X1,X3)
| ~ member(sK4(X1,X9,X11),X11,X1)
| ~ '$ki_accessible'(X9,X10)
| ~ '$ki_accessible'(X2,X9)
| ~ '$ki_exists_in_world_$i'(X9,X11)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ member(sK5(X3,X9,X11),X11,X3)
| ~ '$ki_exists_in_world_$i'(X2,X3) ),
inference(subsumption_resolution,[],[f47,f43]) ).
tff(f47,plain,
! [X2: '$ki_world',X3: $i,X10: '$ki_world',X0: '$ki_world',X11: $i,X1: $i,X9: '$ki_world'] :
( ~ member(sK5(X3,X9,X11),X11,X3)
| ~ member(sK4(X1,X9,X11),X11,X1)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| intersect(X10,X1,X3)
| ~ '$ki_accessible'(X9,X10)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_exists_in_world_$i'(X9,X11)
| ~ '$ki_accessible'(X2,X9) ),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( ! [X3] :
( ( ! [X4: '$ki_world'] :
( ( '$ki_exists_in_world_$i'(X4,sK2(X1,X3,X4))
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| member(X6,sK2(X1,X3,X4),X3) )
& ! [X7: '$ki_world'] :
( member(X7,sK2(X1,X3,X4),X1)
| ~ '$ki_accessible'(X4,X7) ) )
| ~ '$ki_accessible'(X2,X4)
| ( ~ intersect(sK3(X1,X3,X4),X1,X3)
& '$ki_accessible'(X4,sK3(X1,X3,X4)) ) )
& ! [X9: '$ki_world'] :
( ~ '$ki_accessible'(X2,X9)
| ! [X10: '$ki_world'] :
( ~ '$ki_accessible'(X9,X10)
| intersect(X10,X1,X3) )
| ! [X11] :
( ( '$ki_accessible'(X9,sK4(X1,X9,X11))
& ~ member(sK4(X1,X9,X11),X11,X1) )
| ~ '$ki_exists_in_world_$i'(X9,X11)
| ( ~ member(sK5(X3,X9,X11),X11,X3)
& '$ki_accessible'(X9,sK5(X3,X9,X11)) ) ) ) )
| ~ '$ki_exists_in_world_$i'(X2,X3) )
| ~ '$ki_accessible'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f25,f29,f28,f27,f26]) ).
tff(f26,plain,
! [X1,X3,X4: '$ki_world'] :
( ? [X5] :
( '$ki_exists_in_world_$i'(X4,X5)
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| member(X6,X5,X3) )
& ! [X7: '$ki_world'] :
( member(X7,X5,X1)
| ~ '$ki_accessible'(X4,X7) ) )
=> ( '$ki_exists_in_world_$i'(X4,sK2(X1,X3,X4))
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| member(X6,sK2(X1,X3,X4),X3) )
& ! [X7: '$ki_world'] :
( member(X7,sK2(X1,X3,X4),X1)
| ~ '$ki_accessible'(X4,X7) ) ) ),
introduced(choice_axiom,[]) ).
tff(f27,plain,
! [X1,X3,X4: '$ki_world'] :
( ? [X8: '$ki_world'] :
( ~ intersect(X8,X1,X3)
& '$ki_accessible'(X4,X8) )
=> ( ~ intersect(sK3(X1,X3,X4),X1,X3)
& '$ki_accessible'(X4,sK3(X1,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f28,plain,
! [X1,X9: '$ki_world',X11] :
( ? [X12: '$ki_world'] :
( '$ki_accessible'(X9,X12)
& ~ member(X12,X11,X1) )
=> ( '$ki_accessible'(X9,sK4(X1,X9,X11))
& ~ member(sK4(X1,X9,X11),X11,X1) ) ),
introduced(choice_axiom,[]) ).
tff(f29,plain,
! [X3,X9: '$ki_world',X11] :
( ? [X13: '$ki_world'] :
( ~ member(X13,X11,X3)
& '$ki_accessible'(X9,X13) )
=> ( ~ member(sK5(X3,X9,X11),X11,X3)
& '$ki_accessible'(X9,sK5(X3,X9,X11)) ) ),
introduced(choice_axiom,[]) ).
tff(f25,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( ! [X3] :
( ( ! [X4: '$ki_world'] :
( ? [X5] :
( '$ki_exists_in_world_$i'(X4,X5)
& ! [X6: '$ki_world'] :
( ~ '$ki_accessible'(X4,X6)
| member(X6,X5,X3) )
& ! [X7: '$ki_world'] :
( member(X7,X5,X1)
| ~ '$ki_accessible'(X4,X7) ) )
| ~ '$ki_accessible'(X2,X4)
| ? [X8: '$ki_world'] :
( ~ intersect(X8,X1,X3)
& '$ki_accessible'(X4,X8) ) )
& ! [X9: '$ki_world'] :
( ~ '$ki_accessible'(X2,X9)
| ! [X10: '$ki_world'] :
( ~ '$ki_accessible'(X9,X10)
| intersect(X10,X1,X3) )
| ! [X11] :
( ? [X12: '$ki_world'] :
( '$ki_accessible'(X9,X12)
& ~ member(X12,X11,X1) )
| ~ '$ki_exists_in_world_$i'(X9,X11)
| ? [X13: '$ki_world'] :
( ~ member(X13,X11,X3)
& '$ki_accessible'(X9,X13) ) ) ) )
| ~ '$ki_exists_in_world_$i'(X2,X3) )
| ~ '$ki_accessible'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( ! [X3] :
( ( ! [X4: '$ki_world'] :
( ? [X6] :
( '$ki_exists_in_world_$i'(X4,X6)
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X4,X8)
| member(X8,X6,X3) )
& ! [X7: '$ki_world'] :
( member(X7,X6,X1)
| ~ '$ki_accessible'(X4,X7) ) )
| ~ '$ki_accessible'(X2,X4)
| ? [X5: '$ki_world'] :
( ~ intersect(X5,X1,X3)
& '$ki_accessible'(X4,X5) ) )
& ! [X9: '$ki_world'] :
( ~ '$ki_accessible'(X2,X9)
| ! [X13: '$ki_world'] :
( ~ '$ki_accessible'(X9,X13)
| intersect(X13,X1,X3) )
| ! [X10] :
( ? [X12: '$ki_world'] :
( '$ki_accessible'(X9,X12)
& ~ member(X12,X10,X1) )
| ~ '$ki_exists_in_world_$i'(X9,X10)
| ? [X11: '$ki_world'] :
( ~ member(X11,X10,X3)
& '$ki_accessible'(X9,X11) ) ) ) )
| ~ '$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(flattening,[],[f15]) ).
tff(f15,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( ! [X3] :
( ( ! [X9: '$ki_world'] :
( ! [X13: '$ki_world'] :
( ~ '$ki_accessible'(X9,X13)
| intersect(X13,X1,X3) )
| ! [X10] :
( ? [X12: '$ki_world'] :
( '$ki_accessible'(X9,X12)
& ~ member(X12,X10,X1) )
| ~ '$ki_exists_in_world_$i'(X9,X10)
| ? [X11: '$ki_world'] :
( ~ member(X11,X10,X3)
& '$ki_accessible'(X9,X11) ) )
| ~ '$ki_accessible'(X2,X9) )
& ! [X4: '$ki_world'] :
( ? [X6] :
( '$ki_exists_in_world_$i'(X4,X6)
& ! [X8: '$ki_world'] :
( ~ '$ki_accessible'(X4,X8)
| member(X8,X6,X3) )
& ! [X7: '$ki_world'] :
( member(X7,X6,X1)
| ~ '$ki_accessible'(X4,X7) ) )
| ? [X5: '$ki_world'] :
( ~ intersect(X5,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'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,plain,
! [X0: '$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)
=> ( ! [X9: '$ki_world'] :
( '$ki_accessible'(X2,X9)
=> ( ? [X10] :
( ! [X11: '$ki_world'] :
( '$ki_accessible'(X9,X11)
=> member(X11,X10,X3) )
& ! [X12: '$ki_world'] :
( '$ki_accessible'(X9,X12)
=> member(X12,X10,X1) )
& '$ki_exists_in_world_$i'(X9,X10) )
=> ! [X13: '$ki_world'] :
( '$ki_accessible'(X9,X13)
=> intersect(X13,X1,X3) ) ) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X2,X4)
=> ( ! [X5: '$ki_world'] :
( '$ki_accessible'(X4,X5)
=> intersect(X5,X1,X3) )
=> ? [X6] :
( ! [X8: '$ki_world'] :
( '$ki_accessible'(X4,X8)
=> member(X8,X6,X3) )
& '$ki_exists_in_world_$i'(X4,X6)
& ! [X7: '$ki_world'] :
( '$ki_accessible'(X4,X7)
=> member(X7,X6,X1) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X5] :
( '$ki_exists_in_world_$i'(X4,X5)
=> ( ! [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
=> ( ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> intersect(X7,X3,X5) )
=> ? [X8] :
( ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> member(X7,X8,X3) )
& ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> member(X7,X8,X5) )
& '$ki_exists_in_world_$i'(X6,X8) ) ) )
& ! [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
=> ( ? [X8] :
( ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> member(X7,X8,X5) )
& ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> member(X7,X8,X3) )
& '$ki_exists_in_world_$i'(X6,X8) )
=> ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> intersect(X7,X3,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LCL950_17 : TPTP v8.2.0. Released v8.2.0.
% 0.02/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Mon May 22 12:01:38 EDT 2023
% 0.10/0.28 % CPUTime :
% 0.13/0.39 % (17318)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)
% 0.13/0.40 % (17320)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)
% 0.13/0.40 % (17320)First to succeed.
% 0.13/0.41 % (17327)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.41 % (17319)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)
% 0.13/0.41 % (17334)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.41 % (17334)Instruction limit reached!
% 0.13/0.41 % (17334)------------------------------
% 0.13/0.41 % (17334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.41 % (17334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.41 % (17334)Termination reason: Unknown
% 0.13/0.41 % (17334)Termination phase: Preprocessing 1
% 0.13/0.41
% 0.13/0.41 % (17334)Memory used [KB]: 1407
% 0.13/0.41 % (17334)Time elapsed: 0.002 s
% 0.13/0.41 % (17334)Instructions burned: 2 (million)
% 0.13/0.41 % (17334)------------------------------
% 0.13/0.41 % (17334)------------------------------
% 0.13/0.41 % (17331)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.41 % (17344)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.13/0.41 % (17327)Instruction limit reached!
% 0.13/0.41 % (17327)------------------------------
% 0.13/0.41 % (17327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.41 % (17327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.41 % (17327)Termination reason: Unknown
% 0.13/0.41 % (17327)Termination phase: Saturation
% 0.13/0.41
% 0.13/0.41 % (17327)Memory used [KB]: 6012
% 0.13/0.41 % (17327)Time elapsed: 0.096 s
% 0.13/0.41 % (17327)Instructions burned: 8 (million)
% 0.13/0.41 % (17327)------------------------------
% 0.13/0.41 % (17327)------------------------------
% 0.13/0.42 % (17339)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.13/0.42 % (17336)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.13/0.42 % (17322)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.13/0.42 % (17325)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)
% 0.13/0.42 % (17323)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)
% 0.13/0.42 % (17320)Refutation found. Thanks to Tanya!
% 0.13/0.42 % SZS status Theorem for theBenchmark
% 0.13/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.42 % (17320)------------------------------
% 0.13/0.42 % (17320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.42 % (17320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.42 % (17320)Termination reason: Refutation
% 0.13/0.42
% 0.13/0.42 % (17320)Memory used [KB]: 6012
% 0.13/0.42 % (17320)Time elapsed: 0.086 s
% 0.13/0.42 % (17320)Instructions burned: 4 (million)
% 0.13/0.42 % (17320)------------------------------
% 0.13/0.42 % (17320)------------------------------
% 0.13/0.42 % (17315)Success in time 0.133 s
%------------------------------------------------------------------------------