TSTP Solution File: LCL947_10 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL947_10 : 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 : n021.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 15:38:43 EDT 2023
% Result : Theorem 1.84s 0.60s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 56
% Syntax : Number of formulae : 92 ( 9 unt; 48 typ; 0 def)
% Number of atoms : 282 ( 0 equ)
% Maximal formula atoms : 10 ( 6 avg)
% Number of connectives : 293 ( 128 ~; 107 |; 23 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 73 ( 73 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 132 ( 44 >; 88 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 2 prp; 0-4 aty)
% Number of functors : 39 ( 39 usr; 3 con; 0-4 aty)
% Number of variables : 113 (; 98 !; 15 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_2,type,
sK3: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_3,type,
sK4: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_4,type,
sK5: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_5,type,
sK6: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_6,type,
sK7: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_7,type,
sK8: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_8,type,
sK9: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_9,type,
sK10: '$ki_world' > $i ).
tff(func_def_10,type,
sK11: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_11,type,
sK12: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_12,type,
sK13: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_13,type,
sK14: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_14,type,
sK15: '$ki_world' ).
tff(func_def_16,type,
sK17: '$ki_world' ).
tff(func_def_17,type,
sK18: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_18,type,
sK19: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_19,type,
sK20: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_20,type,
sK21: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_21,type,
sK22: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_22,type,
sK23: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_23,type,
sK24: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_24,type,
sK25: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_25,type,
sK26: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_26,type,
sK27: ( $i * $i * '$ki_world' ) > $i ).
tff(func_def_27,type,
sK28: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_28,type,
sK29: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_29,type,
sK30: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_30,type,
sK31: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_31,type,
sK32: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_32,type,
sK33: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_33,type,
sK34: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_34,type,
sK35: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_35,type,
sK36: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_36,type,
sK37: ( $i * $i * '$ki_world' ) > $i ).
tff(func_def_37,type,
sK38: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_38,type,
sK39: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_39,type,
sK40: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_40,type,
sK41: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
qmltpeq: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_3,type,
member: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_4,type,
subset: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_5,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(pred_def_6,type,
sP0: ( $i * $i * $i * '$ki_world' ) > $o ).
tff(pred_def_7,type,
sP1: ( $i * $i * '$ki_world' ) > $o ).
tff(pred_def_8,type,
sP2: ( $i * $i * '$ki_world' ) > $o ).
tff(f463,plain,
$false,
inference(subsumption_resolution,[],[f462,f178]) ).
tff(f178,plain,
'$ki_accessible'('$ki_local_world',sK15),
inference(cnf_transformation,[],[f105]) ).
tff(f105,plain,
( ~ qmltpeq(sK17,union(sK16,sK16),sK16)
& '$ki_accessible'(sK15,sK17)
& '$ki_exists_in_world_$i'(sK15,sK16)
& '$ki_accessible'('$ki_local_world',sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f52,f104,f103,f102]) ).
tff(f102,plain,
( ? [X0: '$ki_world'] :
( ? [X1] :
( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(X1,X1),X1)
& '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) )
=> ( ? [X1] :
( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(X1,X1),X1)
& '$ki_accessible'(sK15,X2) )
& '$ki_exists_in_world_$i'(sK15,X1) )
& '$ki_accessible'('$ki_local_world',sK15) ) ),
introduced(choice_axiom,[]) ).
tff(f103,plain,
( ? [X1] :
( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(X1,X1),X1)
& '$ki_accessible'(sK15,X2) )
& '$ki_exists_in_world_$i'(sK15,X1) )
=> ( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(sK16,sK16),sK16)
& '$ki_accessible'(sK15,X2) )
& '$ki_exists_in_world_$i'(sK15,sK16) ) ),
introduced(choice_axiom,[]) ).
tff(f104,plain,
( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(sK16,sK16),sK16)
& '$ki_accessible'(sK15,X2) )
=> ( ~ qmltpeq(sK17,union(sK16,sK16),sK16)
& '$ki_accessible'(sK15,sK17) ) ),
introduced(choice_axiom,[]) ).
tff(f52,plain,
? [X0: '$ki_world'] :
( ? [X1] :
( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(X1,X1),X1)
& '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f27]) ).
tff(f27,plain,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> qmltpeq(X2,union(X1,X1),X1) ) ) ),
inference(rectify,[],[f21]) ).
tff(f21,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X11] :
( '$ki_exists_in_world_$i'(X0,X11)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> qmltpeq(X4,union(X11,X11),X11) ) ) ),
inference(negated_conjecture,[],[f20]) ).
tff(f20,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X11] :
( '$ki_exists_in_world_$i'(X0,X11)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> qmltpeq(X4,union(X11,X11),X11) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f462,plain,
~ '$ki_accessible'('$ki_local_world',sK15),
inference(subsumption_resolution,[],[f461,f182]) ).
tff(f182,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(f461,plain,
( ~ '$ki_accessible'(sK15,sK15)
| ~ '$ki_accessible'('$ki_local_world',sK15) ),
inference(resolution,[],[f428,f179]) ).
tff(f179,plain,
'$ki_exists_in_world_$i'(sK15,sK16),
inference(cnf_transformation,[],[f105]) ).
tff(f428,plain,
! [X0: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(X0,sK16)
| ~ '$ki_accessible'(X0,sK15)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(duplicate_literal_removal,[],[f415]) ).
tff(f415,plain,
! [X0: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(X0,sK16)
| ~ '$ki_exists_in_world_$i'(X0,sK16)
| ~ '$ki_accessible'(X0,sK15)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(resolution,[],[f410,f182]) ).
tff(f410,plain,
! [X18: '$ki_world',X19: '$ki_world'] :
( ~ '$ki_accessible'(X19,X18)
| ~ '$ki_accessible'('$ki_local_world',X19)
| ~ '$ki_accessible'(X18,sK15)
| ~ '$ki_exists_in_world_$i'(X19,sK16)
| ~ '$ki_exists_in_world_$i'(X18,sK16) ),
inference(subsumption_resolution,[],[f409,f180]) ).
tff(f180,plain,
'$ki_accessible'(sK15,sK17),
inference(cnf_transformation,[],[f105]) ).
tff(f409,plain,
! [X18: '$ki_world',X19: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X19)
| ~ '$ki_exists_in_world_$i'(X19,sK16)
| ~ '$ki_accessible'(X19,X18)
| ~ '$ki_accessible'(sK15,sK17)
| ~ '$ki_accessible'(X18,sK15)
| ~ '$ki_exists_in_world_$i'(X18,sK16) ),
inference(subsumption_resolution,[],[f408,f179]) ).
tff(f408,plain,
! [X18: '$ki_world',X19: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(sK15,sK16)
| ~ '$ki_accessible'(X19,X18)
| ~ '$ki_exists_in_world_$i'(X18,sK16)
| ~ '$ki_accessible'(X18,sK15)
| ~ '$ki_accessible'('$ki_local_world',X19)
| ~ '$ki_exists_in_world_$i'(X19,sK16)
| ~ '$ki_accessible'(sK15,sK17) ),
inference(subsumption_resolution,[],[f404,f178]) ).
tff(f404,plain,
! [X18: '$ki_world',X19: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',sK15)
| ~ '$ki_exists_in_world_$i'(X18,sK16)
| ~ '$ki_exists_in_world_$i'(X19,sK16)
| ~ '$ki_exists_in_world_$i'(sK15,sK16)
| ~ '$ki_accessible'(sK15,sK17)
| ~ '$ki_accessible'(X19,X18)
| ~ '$ki_accessible'(X18,sK15)
| ~ '$ki_accessible'('$ki_local_world',X19) ),
inference(resolution,[],[f396,f279]) ).
tff(f279,plain,
'$ki_accessible'(sK15,sK11(sK16,sK16,sK15)),
inference(subsumption_resolution,[],[f274,f182]) ).
tff(f274,plain,
( '$ki_accessible'(sK15,sK11(sK16,sK16,sK15))
| ~ '$ki_accessible'(sK15,sK15) ),
inference(resolution,[],[f273,f180]) ).
tff(f273,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'(X0,sK17)
| '$ki_accessible'(X0,sK11(sK16,sK16,X0))
| ~ '$ki_accessible'(sK15,X0) ),
inference(subsumption_resolution,[],[f272,f178]) ).
tff(f272,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'(X0,sK17)
| ~ '$ki_accessible'('$ki_local_world',sK15)
| '$ki_accessible'(X0,sK11(sK16,sK16,X0))
| ~ '$ki_accessible'(sK15,X0) ),
inference(subsumption_resolution,[],[f271,f182]) ).
tff(f271,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'(X0,sK17)
| ~ '$ki_accessible'(sK15,sK15)
| '$ki_accessible'(X0,sK11(sK16,sK16,X0))
| ~ '$ki_accessible'(sK15,X0)
| ~ '$ki_accessible'('$ki_local_world',sK15) ),
inference(resolution,[],[f270,f179]) ).
tff(f270,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(X0,sK16)
| ~ '$ki_accessible'(sK15,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X1,sK17)
| '$ki_accessible'(X1,sK11(sK16,sK16,X1))
| ~ '$ki_accessible'(X0,sK15) ),
inference(resolution,[],[f268,f179]) ).
tff(f268,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(X0,sK16)
| ~ '$ki_exists_in_world_$i'(X1,sK16)
| '$ki_accessible'(X2,sK11(sK16,sK16,X2))
| ~ '$ki_accessible'(X2,sK17)
| ~ '$ki_accessible'(X1,X0)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X0,X2) ),
inference(resolution,[],[f171,f181]) ).
tff(f181,plain,
~ qmltpeq(sK17,union(sK16,sK16),sK16),
inference(cnf_transformation,[],[f105]) ).
tff(f171,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X6: '$ki_world',X4: '$ki_world'] :
( qmltpeq(X6,union(X1,X3),X3)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X0)
| '$ki_accessible'(X4,sK11(X1,X3,X4))
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'(X4,X6)
| ~ '$ki_accessible'(X2,X4)
| ~ '$ki_accessible'(X0,X2) ),
inference(cnf_transformation,[],[f95]) ).
tff(f95,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ! [X1] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ! [X2: '$ki_world'] :
( ! [X3] :
( ! [X4: '$ki_world'] :
( ~ '$ki_accessible'(X2,X4)
| ( '$ki_accessible'(X4,sK11(X1,X3,X4))
& ~ subset(sK11(X1,X3,X4),X1,X3) )
| ! [X6: '$ki_world'] :
( qmltpeq(X6,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X6) ) )
| ~ '$ki_exists_in_world_$i'(X2,X3) )
| ~ '$ki_accessible'(X0,X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f63,f94]) ).
tff(f94,plain,
! [X1,X3,X4: '$ki_world'] :
( ? [X5: '$ki_world'] :
( '$ki_accessible'(X4,X5)
& ~ subset(X5,X1,X3) )
=> ( '$ki_accessible'(X4,sK11(X1,X3,X4))
& ~ subset(sK11(X1,X3,X4),X1,X3) ) ),
introduced(choice_axiom,[]) ).
tff(f63,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ! [X1] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ! [X2: '$ki_world'] :
( ! [X3] :
( ! [X4: '$ki_world'] :
( ~ '$ki_accessible'(X2,X4)
| ? [X5: '$ki_world'] :
( '$ki_accessible'(X4,X5)
& ~ subset(X5,X1,X3) )
| ! [X6: '$ki_world'] :
( qmltpeq(X6,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X6) ) )
| ~ '$ki_exists_in_world_$i'(X2,X3) )
| ~ '$ki_accessible'(X0,X2) ) ) ),
inference(flattening,[],[f62]) ).
tff(f62,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( ! [X3] :
( ! [X4: '$ki_world'] :
( ! [X6: '$ki_world'] :
( qmltpeq(X6,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X6) )
| ? [X5: '$ki_world'] :
( '$ki_accessible'(X4,X5)
& ~ subset(X5,X1,X3) )
| ~ '$ki_accessible'(X2,X4) )
| ~ '$ki_exists_in_world_$i'(X2,X3) )
| ~ '$ki_accessible'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0: '$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)
=> subset(X5,X1,X3) )
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
=> qmltpeq(X6,union(X1,X3),X3) ) ) ) ) ) ) ),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X11] :
( '$ki_exists_in_world_$i'(X0,X11)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X12] :
( '$ki_exists_in_world_$i'(X4,X12)
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
=> ( ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> subset(X7,X11,X12) )
=> ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> qmltpeq(X7,union(X11,X12),X12) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_union) ).
tff(f396,plain,
! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X0,sK11(sK16,sK16,X1))
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X3,X1)
| ~ '$ki_exists_in_world_$i'(X0,sK16)
| ~ '$ki_accessible'(X1,sK17)
| ~ '$ki_exists_in_world_$i'(X2,sK16)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_exists_in_world_$i'(X3,sK16) ),
inference(resolution,[],[f341,f181]) ).
tff(f341,plain,
! [X2: $i,X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
( qmltpeq(X1,union(X2,X2),X2)
| ~ '$ki_exists_in_world_$i'(X5,X2)
| ~ '$ki_accessible'(X4,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X5,sK11(X2,X2,X4))
| ~ '$ki_exists_in_world_$i'(X0,X2)
| ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'(X0,X3)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ '$ki_exists_in_world_$i'(X3,X2) ),
inference(resolution,[],[f170,f154]) ).
tff(f154,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: $i] :
( subset(X2,X1,X1)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ! [X1] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ! [X2: '$ki_world'] :
( ~ '$ki_accessible'(X0,X2)
| subset(X2,X1,X1) ) ) ),
inference(ennf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> subset(X2,X1,X1) ) ) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X11] :
( '$ki_exists_in_world_$i'(X0,X11)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> subset(X4,X11,X11) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subset) ).
tff(f170,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X6: '$ki_world',X4: '$ki_world'] :
( ~ subset(sK11(X1,X3,X4),X1,X3)
| ~ '$ki_accessible'('$ki_local_world',X0)
| qmltpeq(X6,union(X1,X3),X3)
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'(X4,X6)
| ~ '$ki_accessible'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_exists_in_world_$i'(X2,X3) ),
inference(cnf_transformation,[],[f95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : LCL947_10 : TPTP v8.2.0. Released v8.2.0.
% 0.09/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 22 11:59:00 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.46 % (24538)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 (2999ds/467Mi)
% 0.22/0.47 % (24521)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.47 % (24530)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.22/0.48 % (24522)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.49 % (24536)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.49 % (24544)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.22/0.49 % (24522)Instruction limit reached!
% 0.22/0.49 % (24522)------------------------------
% 0.22/0.49 % (24522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.49 % (24522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.49 % (24522)Termination reason: Unknown
% 0.22/0.49 % (24522)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (24522)Memory used [KB]: 5628
% 0.22/0.49 % (24522)Time elapsed: 0.071 s
% 0.22/0.49 % (24522)Instructions burned: 9 (million)
% 0.22/0.49 % (24522)------------------------------
% 0.22/0.49 % (24522)------------------------------
% 0.22/0.50 % (24520)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.22/0.50 % (24528)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.51 % (24517)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.51 % (24539)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.51 % (24518)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.52 % (24533)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.52 % (24519)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.52 % (24535)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.22/0.52 % (24523)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.52 % (24529)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.53 % (24525)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.53 % (24516)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.53 % (24526)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.53 % (24543)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.22/0.53 % (24527)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.22/0.54 % (24515)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 (2999ds/191324Mi)
% 0.22/0.54 % (24523)Instruction limit reached!
% 0.22/0.54 % (24523)------------------------------
% 0.22/0.54 % (24523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (24523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (24523)Termination reason: Unknown
% 0.22/0.54 % (24523)Termination phase: Preprocessing 3
% 0.22/0.54
% 0.22/0.54 % (24523)Memory used [KB]: 1023
% 0.22/0.54 % (24523)Time elapsed: 0.004 s
% 0.22/0.54 % (24523)Instructions burned: 3 (million)
% 0.22/0.54 % (24523)------------------------------
% 0.22/0.54 % (24523)------------------------------
% 0.22/0.54 % (24531)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.54 % (24540)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.55 % (24524)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.55 % (24537)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.22/0.55 % (24532)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.22/0.55 TRYING [1]
% 0.22/0.55 % (24542)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.22/0.55 TRYING [2]
% 0.22/0.55 % (24516)Refutation not found, incomplete strategy% (24516)------------------------------
% 0.22/0.55 % (24516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (24534)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.56 % (24541)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.56 % (24516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (24516)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.56
% 0.22/0.56 % (24516)Memory used [KB]: 5756
% 0.22/0.56 % (24516)Time elapsed: 0.138 s
% 0.22/0.56 % (24516)Instructions burned: 13 (million)
% 0.22/0.56 % (24516)------------------------------
% 0.22/0.56 % (24516)------------------------------
% 0.22/0.56 % (24521)Instruction limit reached!
% 0.22/0.56 % (24521)------------------------------
% 0.22/0.56 % (24521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (24521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (24521)Termination reason: Unknown
% 0.22/0.56 % (24521)Termination phase: Finite model building constraint generation
% 0.22/0.56
% 0.22/0.56 % (24521)Memory used [KB]: 7803
% 0.22/0.56 % (24521)Time elapsed: 0.159 s
% 0.22/0.56 % (24521)Instructions burned: 53 (million)
% 0.22/0.56 % (24521)------------------------------
% 0.22/0.56 % (24521)------------------------------
% 0.22/0.57 % (24530)Instruction limit reached!
% 0.22/0.57 % (24530)------------------------------
% 0.22/0.57 % (24530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.57 % (24530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.57 % (24530)Termination reason: Unknown
% 0.22/0.57 % (24530)Termination phase: Saturation
% 0.22/0.57
% 0.22/0.57 % (24530)Memory used [KB]: 1918
% 0.22/0.57 % (24530)Time elapsed: 0.148 s
% 0.22/0.57 % (24530)Instructions burned: 75 (million)
% 0.22/0.57 % (24530)------------------------------
% 0.22/0.57 % (24530)------------------------------
% 0.22/0.57 % (24517)Instruction limit reached!
% 0.22/0.57 % (24517)------------------------------
% 0.22/0.57 % (24517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.57 % (24517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.57 % (24517)Termination reason: Unknown
% 0.22/0.57 % (24517)Termination phase: Saturation
% 0.22/0.57
% 0.22/0.57 % (24517)Memory used [KB]: 1663
% 0.22/0.57 % (24517)Time elapsed: 0.160 s
% 0.22/0.57 % (24517)Instructions burned: 38 (million)
% 0.22/0.57 % (24517)------------------------------
% 0.22/0.57 % (24517)------------------------------
% 1.69/0.59 % (24537)First to succeed.
% 1.69/0.59 % (24520)Instruction limit reached!
% 1.69/0.59 % (24520)------------------------------
% 1.69/0.59 % (24520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59 % (24520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59 % (24520)Termination reason: Unknown
% 1.69/0.59 % (24520)Termination phase: Saturation
% 1.69/0.59
% 1.69/0.59 % (24520)Memory used [KB]: 6140
% 1.69/0.59 % (24520)Time elapsed: 0.182 s
% 1.69/0.59 % (24520)Instructions burned: 48 (million)
% 1.69/0.59 % (24520)------------------------------
% 1.69/0.59 % (24520)------------------------------
% 1.84/0.60 % (24518)Instruction limit reached!
% 1.84/0.60 % (24518)------------------------------
% 1.84/0.60 % (24518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60 % (24518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (24518)Termination reason: Unknown
% 1.84/0.60 % (24518)Termination phase: Saturation
% 1.84/0.60
% 1.84/0.60 % (24518)Memory used [KB]: 6396
% 1.84/0.60 % (24518)Time elapsed: 0.187 s
% 1.84/0.60 % (24518)Instructions burned: 52 (million)
% 1.84/0.60 % (24518)------------------------------
% 1.84/0.60 % (24518)------------------------------
% 1.84/0.60 % (24519)Instruction limit reached!
% 1.84/0.60 % (24519)------------------------------
% 1.84/0.60 % (24519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60 % (24519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (24519)Termination reason: Unknown
% 1.84/0.60 % (24519)Termination phase: Saturation
% 1.84/0.60
% 1.84/0.60 % (24519)Memory used [KB]: 6140
% 1.84/0.60 % (24519)Time elapsed: 0.188 s
% 1.84/0.60 % (24519)Instructions burned: 51 (million)
% 1.84/0.60 % (24519)------------------------------
% 1.84/0.60 % (24519)------------------------------
% 1.84/0.60 % (24537)Refutation found. Thanks to Tanya!
% 1.84/0.60 % SZS status Theorem for theBenchmark
% 1.84/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.60 % (24537)------------------------------
% 1.84/0.60 % (24537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60 % (24537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (24537)Termination reason: Refutation
% 1.84/0.60
% 1.84/0.60 % (24537)Memory used [KB]: 1407
% 1.84/0.60 % (24537)Time elapsed: 0.185 s
% 1.84/0.60 % (24537)Instructions burned: 30 (million)
% 1.84/0.60 % (24537)------------------------------
% 1.84/0.60 % (24537)------------------------------
% 1.84/0.60 % (24514)Success in time 0.233 s
%------------------------------------------------------------------------------