TSTP Solution File: SEU364+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n022.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 : Wed Aug 31 18:29:16 EDT 2022
% Result : Theorem 2.34s 0.73s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 41
% Syntax : Number of formulae : 185 ( 13 unt; 0 def)
% Number of atoms : 1385 ( 144 equ)
% Maximal formula atoms : 36 ( 7 avg)
% Number of connectives : 1956 ( 756 ~; 833 |; 311 &)
% ( 34 <=>; 20 =>; 0 <=; 2 <~>)
% Maximal formula depth : 26 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 27 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-4 aty)
% Number of variables : 495 ( 344 !; 151 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f434,plain,
$false,
inference(avatar_sat_refutation,[],[f162,f164,f170,f172,f183,f185,f190,f200,f215,f217,f222,f243,f244,f250,f304,f308,f313,f324,f326,f346,f365,f396,f397,f412,f417,f421,f431,f433]) ).
fof(f433,plain,
( spl28_24
| spl28_33 ),
inference(avatar_split_clause,[],[f432,f387,f331]) ).
fof(f331,plain,
( spl28_24
<=> in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_24])]) ).
fof(f387,plain,
( spl28_33
<=> in(sK20(sK10(sK16,sK15,sK17)),sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_33])]) ).
fof(f432,plain,
( in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,sK17))
| spl28_33 ),
inference(resolution,[],[f389,f114]) ).
fof(f114,plain,
! [X3] :
( in(sK20(X3),sK17)
| in(sK18(X3),X3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( element(sK17,powerset(the_carrier(sK15)))
& element(sK16,powerset(sK17))
& finite(sK16)
& transitive_relstr(sK15)
& ! [X3] :
( ( ~ in(sK18(X3),X3)
| ! [X5] :
( sK18(X3) != X5
| ! [X6] :
( ~ element(X6,the_carrier(sK15))
| ~ in(X6,sK17)
| ~ relstr_set_smaller(sK15,X5,X6) ) )
| ~ in(sK18(X3),powerset(sK16)) )
& ( in(sK18(X3),X3)
| ( sK19(X3) = sK18(X3)
& element(sK20(X3),the_carrier(sK15))
& in(sK20(X3),sK17)
& relstr_set_smaller(sK15,sK19(X3),sK20(X3))
& in(sK18(X3),powerset(sK16)) ) ) )
& ~ empty_carrier(sK15)
& rel_str(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19,sK20])],[f67,f71,f70,f69,f68]) ).
fof(f68,plain,
( ? [X0,X1,X2] :
( element(X2,powerset(the_carrier(X0)))
& element(X1,powerset(X2))
& finite(X1)
& transitive_relstr(X0)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(X0))
| ~ in(X6,X2)
| ~ relstr_set_smaller(X0,X5,X6) ) )
| ~ in(X4,powerset(X1)) )
& ( in(X4,X3)
| ( ? [X7] :
( X4 = X7
& ? [X8] :
( element(X8,the_carrier(X0))
& in(X8,X2)
& relstr_set_smaller(X0,X7,X8) ) )
& in(X4,powerset(X1)) ) ) )
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( element(sK17,powerset(the_carrier(sK15)))
& element(sK16,powerset(sK17))
& finite(sK16)
& transitive_relstr(sK15)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(sK15))
| ~ in(X6,sK17)
| ~ relstr_set_smaller(sK15,X5,X6) ) )
| ~ in(X4,powerset(sK16)) )
& ( in(X4,X3)
| ( ? [X7] :
( X4 = X7
& ? [X8] :
( element(X8,the_carrier(sK15))
& in(X8,sK17)
& relstr_set_smaller(sK15,X7,X8) ) )
& in(X4,powerset(sK16)) ) ) )
& ~ empty_carrier(sK15)
& rel_str(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X3] :
( ? [X4] :
( ( ~ in(X4,X3)
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(sK15))
| ~ in(X6,sK17)
| ~ relstr_set_smaller(sK15,X5,X6) ) )
| ~ in(X4,powerset(sK16)) )
& ( in(X4,X3)
| ( ? [X7] :
( X4 = X7
& ? [X8] :
( element(X8,the_carrier(sK15))
& in(X8,sK17)
& relstr_set_smaller(sK15,X7,X8) ) )
& in(X4,powerset(sK16)) ) ) )
=> ( ( ~ in(sK18(X3),X3)
| ! [X5] :
( sK18(X3) != X5
| ! [X6] :
( ~ element(X6,the_carrier(sK15))
| ~ in(X6,sK17)
| ~ relstr_set_smaller(sK15,X5,X6) ) )
| ~ in(sK18(X3),powerset(sK16)) )
& ( in(sK18(X3),X3)
| ( ? [X7] :
( sK18(X3) = X7
& ? [X8] :
( element(X8,the_carrier(sK15))
& in(X8,sK17)
& relstr_set_smaller(sK15,X7,X8) ) )
& in(sK18(X3),powerset(sK16)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X3] :
( ? [X7] :
( sK18(X3) = X7
& ? [X8] :
( element(X8,the_carrier(sK15))
& in(X8,sK17)
& relstr_set_smaller(sK15,X7,X8) ) )
=> ( sK19(X3) = sK18(X3)
& ? [X8] :
( element(X8,the_carrier(sK15))
& in(X8,sK17)
& relstr_set_smaller(sK15,sK19(X3),X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X3] :
( ? [X8] :
( element(X8,the_carrier(sK15))
& in(X8,sK17)
& relstr_set_smaller(sK15,sK19(X3),X8) )
=> ( element(sK20(X3),the_carrier(sK15))
& in(sK20(X3),sK17)
& relstr_set_smaller(sK15,sK19(X3),sK20(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
? [X0,X1,X2] :
( element(X2,powerset(the_carrier(X0)))
& element(X1,powerset(X2))
& finite(X1)
& transitive_relstr(X0)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(X0))
| ~ in(X6,X2)
| ~ relstr_set_smaller(X0,X5,X6) ) )
| ~ in(X4,powerset(X1)) )
& ( in(X4,X3)
| ( ? [X7] :
( X4 = X7
& ? [X8] :
( element(X8,the_carrier(X0))
& in(X8,X2)
& relstr_set_smaller(X0,X7,X8) ) )
& in(X4,powerset(X1)) ) ) )
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
? [X2,X1,X0] :
( element(X0,powerset(the_carrier(X2)))
& element(X1,powerset(X0))
& finite(X1)
& transitive_relstr(X2)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(X2))
| ~ in(X6,X0)
| ~ relstr_set_smaller(X2,X5,X6) ) )
| ~ in(X4,powerset(X1)) )
& ( in(X4,X3)
| ( ? [X5] :
( X4 = X5
& ? [X6] :
( element(X6,the_carrier(X2))
& in(X6,X0)
& relstr_set_smaller(X2,X5,X6) ) )
& in(X4,powerset(X1)) ) ) )
& ~ empty_carrier(X2)
& rel_str(X2) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X2,X1,X0] :
( element(X0,powerset(the_carrier(X2)))
& element(X1,powerset(X0))
& finite(X1)
& transitive_relstr(X2)
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(X2))
| ~ in(X6,X0)
| ~ relstr_set_smaller(X2,X5,X6) ) )
| ~ in(X4,powerset(X1)) )
& ( in(X4,X3)
| ( ? [X5] :
( X4 = X5
& ? [X6] :
( element(X6,the_carrier(X2))
& in(X6,X0)
& relstr_set_smaller(X2,X5,X6) ) )
& in(X4,powerset(X1)) ) ) )
& ~ empty_carrier(X2)
& rel_str(X2) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
? [X2,X1,X0] :
( element(X0,powerset(the_carrier(X2)))
& element(X1,powerset(X0))
& finite(X1)
& transitive_relstr(X2)
& ! [X3] :
? [X4] :
( ( ? [X5] :
( X4 = X5
& ? [X6] :
( element(X6,the_carrier(X2))
& in(X6,X0)
& relstr_set_smaller(X2,X5,X6) ) )
& in(X4,powerset(X1)) )
<~> in(X4,X3) )
& ~ empty_carrier(X2)
& rel_str(X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ? [X5] :
( X4 = X5
& ? [X6] :
( element(X6,the_carrier(X2))
& in(X6,X0)
& relstr_set_smaller(X2,X5,X6) ) )
& in(X4,powerset(X1)) )
<~> in(X4,X3) )
& rel_str(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& element(X0,powerset(the_carrier(X2)))
& element(X1,powerset(X0))
& finite(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1,X2] :
( ( rel_str(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& element(X0,powerset(the_carrier(X2)))
& element(X1,powerset(X0))
& finite(X1) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( ? [X5] :
( X4 = X5
& ? [X6] :
( element(X6,the_carrier(X2))
& in(X6,X0)
& relstr_set_smaller(X2,X5,X6) ) )
& in(X4,powerset(X1)) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X2,X0] :
( ( finite(X2)
& element(X1,powerset(the_carrier(X0)))
& transitive_relstr(X0)
& element(X2,powerset(X1))
& rel_str(X0)
& ~ empty_carrier(X0) )
=> ? [X3] :
! [X4] :
( ( ? [X5] :
( X4 = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) )
& in(X4,powerset(X2)) )
<=> in(X4,X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X2,X0] :
( ( finite(X2)
& element(X1,powerset(the_carrier(X0)))
& transitive_relstr(X0)
& element(X2,powerset(X1))
& rel_str(X0)
& ~ empty_carrier(X0) )
=> ? [X3] :
! [X4] :
( ( ? [X5] :
( X4 = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) )
& in(X4,powerset(X2)) )
<=> in(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e11_2_1__waybel_0__1) ).
fof(f389,plain,
( ~ in(sK20(sK10(sK16,sK15,sK17)),sK17)
| spl28_33 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f431,plain,
( ~ spl28_9
| ~ spl28_33
| spl28_24
| spl28_10
| ~ spl28_31 ),
inference(avatar_split_clause,[],[f430,f378,f209,f331,f387,f205]) ).
fof(f205,plain,
( spl28_9
<=> element(sK17,powerset(the_carrier(sK15))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_9])]) ).
fof(f209,plain,
( spl28_10
<=> sP1(sK15,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_10])]) ).
fof(f378,plain,
( spl28_31
<=> ! [X0] :
( ~ in(sK20(sK10(sK16,sK15,sK17)),X0)
| sP1(sK15,X0)
| in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,X0))
| ~ element(X0,powerset(the_carrier(sK15)))
| ~ element(sK16,powerset(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_31])]) ).
fof(f430,plain,
( sP1(sK15,sK17)
| in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,sK17))
| ~ in(sK20(sK10(sK16,sK15,sK17)),sK17)
| ~ element(sK17,powerset(the_carrier(sK15)))
| ~ spl28_31 ),
inference(resolution,[],[f379,f120]) ).
fof(f120,plain,
element(sK16,powerset(sK17)),
inference(cnf_transformation,[],[f72]) ).
fof(f379,plain,
( ! [X0] :
( ~ element(sK16,powerset(X0))
| ~ element(X0,powerset(the_carrier(sK15)))
| in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,X0))
| sP1(sK15,X0)
| ~ in(sK20(sK10(sK16,sK15,sK17)),X0) )
| ~ spl28_31 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f421,plain,
( ~ spl28_19
| spl28_31
| ~ spl28_27
| ~ spl28_28 ),
inference(avatar_split_clause,[],[f419,f359,f344,f378,f298]) ).
fof(f298,plain,
( spl28_19
<=> finite(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_19])]) ).
fof(f344,plain,
( spl28_27
<=> ! [X4,X3] :
( ~ in(sK20(sK10(sK16,sK15,sK17)),X4)
| ~ in(sK18(sK10(sK16,sK15,sK17)),powerset(X3))
| in(sK18(sK10(sK16,sK15,sK17)),sK10(X3,sK15,X4))
| ~ finite(X3)
| ~ element(X3,powerset(X4))
| sP1(sK15,X4)
| ~ element(X4,powerset(the_carrier(sK15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_27])]) ).
fof(f359,plain,
( spl28_28
<=> in(sK18(sK10(sK16,sK15,sK17)),powerset(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_28])]) ).
fof(f419,plain,
( ! [X0] :
( ~ element(X0,powerset(the_carrier(sK15)))
| ~ finite(sK16)
| sP1(sK15,X0)
| ~ element(sK16,powerset(X0))
| in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,X0))
| ~ in(sK20(sK10(sK16,sK15,sK17)),X0) )
| ~ spl28_27
| ~ spl28_28 ),
inference(resolution,[],[f360,f345]) ).
fof(f345,plain,
( ! [X3,X4] :
( ~ in(sK18(sK10(sK16,sK15,sK17)),powerset(X3))
| ~ element(X4,powerset(the_carrier(sK15)))
| ~ finite(X3)
| ~ element(X3,powerset(X4))
| in(sK18(sK10(sK16,sK15,sK17)),sK10(X3,sK15,X4))
| ~ in(sK20(sK10(sK16,sK15,sK17)),X4)
| sP1(sK15,X4) )
| ~ spl28_27 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f360,plain,
( in(sK18(sK10(sK16,sK15,sK17)),powerset(sK16))
| ~ spl28_28 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f417,plain,
( ~ spl28_9
| ~ spl28_24
| spl28_10
| ~ spl28_34 ),
inference(avatar_split_clause,[],[f416,f394,f209,f331,f205]) ).
fof(f394,plain,
( spl28_34
<=> ! [X0] :
( ~ in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,X0))
| ~ element(X0,powerset(the_carrier(sK15)))
| sP1(sK15,X0)
| ~ element(sK16,powerset(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_34])]) ).
fof(f416,plain,
( sP1(sK15,sK17)
| ~ in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,sK17))
| ~ element(sK17,powerset(the_carrier(sK15)))
| ~ spl28_34 ),
inference(resolution,[],[f395,f120]) ).
fof(f395,plain,
( ! [X0] :
( ~ element(sK16,powerset(X0))
| ~ in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,X0))
| sP1(sK15,X0)
| ~ element(X0,powerset(the_carrier(sK15))) )
| ~ spl28_34 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f412,plain,
( ~ spl28_19
| ~ spl28_23
| ~ spl28_24
| ~ spl28_29 ),
inference(avatar_split_clause,[],[f410,f363,f331,f321,f298]) ).
fof(f321,plain,
( spl28_23
<=> element(sK16,powerset(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_23])]) ).
fof(f363,plain,
( spl28_29
<=> ! [X7] :
( ~ finite(X7)
| ~ in(sK18(sK10(sK16,sK15,sK17)),sK10(X7,sK15,sK17))
| ~ element(X7,powerset(sK17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_29])]) ).
fof(f410,plain,
( ~ element(sK16,powerset(sK17))
| ~ finite(sK16)
| ~ spl28_24
| ~ spl28_29 ),
inference(resolution,[],[f364,f333]) ).
fof(f333,plain,
( in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,sK17))
| ~ spl28_24 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f364,plain,
( ! [X7] :
( ~ in(sK18(sK10(sK16,sK15,sK17)),sK10(X7,sK15,sK17))
| ~ finite(X7)
| ~ element(X7,powerset(sK17)) )
| ~ spl28_29 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f397,plain,
( spl28_24
| spl28_28 ),
inference(avatar_split_clause,[],[f391,f359,f331]) ).
fof(f391,plain,
( in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,sK17))
| spl28_28 ),
inference(resolution,[],[f361,f112]) ).
fof(f112,plain,
! [X3] :
( in(sK18(X3),powerset(sK16))
| in(sK18(X3),X3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f361,plain,
( ~ in(sK18(sK10(sK16,sK15,sK17)),powerset(sK16))
| spl28_28 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f396,plain,
( ~ spl28_19
| spl28_34
| ~ spl28_6
| spl28_28 ),
inference(avatar_split_clause,[],[f392,f359,f181,f394,f298]) ).
fof(f181,plain,
( spl28_6
<=> ! [X2,X0,X1] :
( ~ in(X2,sK10(X0,sK15,X1))
| ~ element(X1,powerset(the_carrier(sK15)))
| in(X2,powerset(X0))
| sP1(sK15,X1)
| ~ finite(X0)
| ~ element(X0,powerset(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_6])]) ).
fof(f392,plain,
( ! [X0] :
( ~ in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,X0))
| ~ finite(sK16)
| ~ element(sK16,powerset(X0))
| sP1(sK15,X0)
| ~ element(X0,powerset(the_carrier(sK15))) )
| ~ spl28_6
| spl28_28 ),
inference(resolution,[],[f361,f182]) ).
fof(f182,plain,
( ! [X2,X0,X1] :
( in(X2,powerset(X0))
| ~ element(X0,powerset(X1))
| ~ element(X1,powerset(the_carrier(sK15)))
| ~ finite(X0)
| ~ in(X2,sK10(X0,sK15,X1))
| sP1(sK15,X1) )
| ~ spl28_6 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f365,plain,
( ~ spl28_23
| ~ spl28_19
| ~ spl28_28
| ~ spl28_24
| spl28_29
| spl28_29
| spl28_29
| ~ spl28_12
| ~ spl28_24 ),
inference(avatar_split_clause,[],[f352,f331,f220,f363,f363,f363,f331,f359,f298,f321]) ).
fof(f220,plain,
( spl28_12
<=> ! [X2,X4,X0,X3,X1] :
( ~ in(sK18(X0),sK10(X1,sK15,sK17))
| ~ finite(X3)
| ~ element(X1,powerset(sK17))
| ~ finite(X4)
| ~ element(X2,powerset(sK17))
| ~ in(sK18(X0),powerset(sK16))
| ~ in(sK18(X0),X0)
| ~ in(sK18(X0),sK10(X4,sK15,sK17))
| ~ element(X4,powerset(sK17))
| ~ finite(X2)
| ~ finite(X1)
| ~ in(sK18(X0),sK10(X3,sK15,sK17))
| ~ element(X3,powerset(sK17))
| ~ in(sK18(X0),sK10(X2,sK15,sK17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_12])]) ).
fof(f352,plain,
( ! [X8,X6,X7] :
( ~ finite(X8)
| ~ element(X8,powerset(sK17))
| ~ element(X6,powerset(sK17))
| ~ finite(X7)
| ~ finite(X6)
| ~ in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,sK17))
| ~ in(sK18(sK10(sK16,sK15,sK17)),powerset(sK16))
| ~ in(sK18(sK10(sK16,sK15,sK17)),sK10(X8,sK15,sK17))
| ~ element(X7,powerset(sK17))
| ~ finite(sK16)
| ~ in(sK18(sK10(sK16,sK15,sK17)),sK10(X6,sK15,sK17))
| ~ in(sK18(sK10(sK16,sK15,sK17)),sK10(X7,sK15,sK17))
| ~ element(sK16,powerset(sK17)) )
| ~ spl28_12
| ~ spl28_24 ),
inference(resolution,[],[f333,f221]) ).
fof(f221,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK18(X0),sK10(X4,sK15,sK17))
| ~ in(sK18(X0),sK10(X3,sK15,sK17))
| ~ element(X4,powerset(sK17))
| ~ finite(X3)
| ~ element(X2,powerset(sK17))
| ~ in(sK18(X0),powerset(sK16))
| ~ element(X3,powerset(sK17))
| ~ finite(X4)
| ~ in(sK18(X0),sK10(X2,sK15,sK17))
| ~ finite(X1)
| ~ in(sK18(X0),sK10(X1,sK15,sK17))
| ~ element(X1,powerset(sK17))
| ~ finite(X2)
| ~ in(sK18(X0),X0) )
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f346,plain,
( spl28_24
| spl28_27
| ~ spl28_15
| ~ spl28_22 ),
inference(avatar_split_clause,[],[f328,f317,f248,f344,f331]) ).
fof(f248,plain,
( spl28_15
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,powerset(X1))
| ~ element(X3,the_carrier(sK15))
| ~ finite(X0)
| ~ in(X2,powerset(X0))
| ~ element(X1,powerset(the_carrier(sK15)))
| ~ in(X3,X1)
| in(X2,sK10(X0,sK15,X1))
| sP1(sK15,X1)
| ~ relstr_set_smaller(sK15,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).
fof(f317,plain,
( spl28_22
<=> sK19(sK10(sK16,sK15,sK17)) = sK18(sK10(sK16,sK15,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_22])]) ).
fof(f328,plain,
( ! [X3,X4] :
( ~ in(sK20(sK10(sK16,sK15,sK17)),X4)
| ~ element(X4,powerset(the_carrier(sK15)))
| sP1(sK15,X4)
| ~ finite(X3)
| ~ element(X3,powerset(X4))
| in(sK18(sK10(sK16,sK15,sK17)),sK10(X3,sK15,X4))
| in(sK18(sK10(sK16,sK15,sK17)),sK10(sK16,sK15,sK17))
| ~ in(sK18(sK10(sK16,sK15,sK17)),powerset(X3)) )
| ~ spl28_15
| ~ spl28_22 ),
inference(superposition,[],[f260,f319]) ).
fof(f319,plain,
( sK19(sK10(sK16,sK15,sK17)) = sK18(sK10(sK16,sK15,sK17))
| ~ spl28_22 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f260,plain,
( ! [X2,X0,X1] :
( ~ in(sK19(X0),powerset(X2))
| ~ element(X2,powerset(X1))
| in(sK18(X0),X0)
| ~ in(sK20(X0),X1)
| in(sK19(X0),sK10(X2,sK15,X1))
| ~ element(X1,powerset(the_carrier(sK15)))
| ~ finite(X2)
| sP1(sK15,X1) )
| ~ spl28_15 ),
inference(duplicate_literal_removal,[],[f259]) ).
fof(f259,plain,
( ! [X2,X0,X1] :
( in(sK19(X0),sK10(X2,sK15,X1))
| in(sK18(X0),X0)
| sP1(sK15,X1)
| ~ element(X2,powerset(X1))
| in(sK18(X0),X0)
| ~ in(sK19(X0),powerset(X2))
| ~ element(X1,powerset(the_carrier(sK15)))
| ~ finite(X2)
| ~ in(sK20(X0),X1) )
| ~ spl28_15 ),
inference(resolution,[],[f254,f113]) ).
fof(f113,plain,
! [X3] :
( relstr_set_smaller(sK15,sK19(X3),sK20(X3))
| in(sK18(X3),X3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f254,plain,
( ! [X18,X16,X17,X15] :
( ~ relstr_set_smaller(sK15,X15,sK20(X18))
| in(sK18(X18),X18)
| ~ element(X17,powerset(the_carrier(sK15)))
| ~ finite(X16)
| ~ element(X16,powerset(X17))
| in(X15,sK10(X16,sK15,X17))
| sP1(sK15,X17)
| ~ in(sK20(X18),X17)
| ~ in(X15,powerset(X16)) )
| ~ spl28_15 ),
inference(resolution,[],[f249,f115]) ).
fof(f115,plain,
! [X3] :
( element(sK20(X3),the_carrier(sK15))
| in(sK18(X3),X3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f249,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X3,the_carrier(sK15))
| in(X2,sK10(X0,sK15,X1))
| sP1(sK15,X1)
| ~ relstr_set_smaller(sK15,X2,X3)
| ~ element(X1,powerset(the_carrier(sK15)))
| ~ finite(X0)
| ~ element(X0,powerset(X1))
| ~ in(X3,X1)
| ~ in(X2,powerset(X0)) )
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f326,plain,
spl28_23,
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f325,plain,
( $false
| spl28_23 ),
inference(resolution,[],[f323,f120]) ).
fof(f323,plain,
( ~ element(sK16,powerset(sK17))
| spl28_23 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f324,plain,
( ~ spl28_19
| spl28_22
| ~ spl28_23
| ~ spl28_21 ),
inference(avatar_split_clause,[],[f315,f311,f321,f317,f298]) ).
fof(f311,plain,
( spl28_21
<=> ! [X0] :
( sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),sK10(sK16,sK15,sK17))
| ~ element(X0,powerset(sK17))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_21])]) ).
fof(f315,plain,
( ~ element(sK16,powerset(sK17))
| sK19(sK10(sK16,sK15,sK17)) = sK18(sK10(sK16,sK15,sK17))
| ~ finite(sK16)
| ~ spl28_21 ),
inference(duplicate_literal_removal,[],[f314]) ).
fof(f314,plain,
( ~ finite(sK16)
| sK19(sK10(sK16,sK15,sK17)) = sK18(sK10(sK16,sK15,sK17))
| ~ element(sK16,powerset(sK17))
| sK19(sK10(sK16,sK15,sK17)) = sK18(sK10(sK16,sK15,sK17))
| ~ spl28_21 ),
inference(resolution,[],[f312,f116]) ).
fof(f116,plain,
! [X3] :
( in(sK18(X3),X3)
| sK19(X3) = sK18(X3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f312,plain,
( ! [X0] :
( ~ in(sK18(sK10(X0,sK15,sK17)),sK10(sK16,sK15,sK17))
| ~ finite(X0)
| ~ element(X0,powerset(sK17))
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17)) )
| ~ spl28_21 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f313,plain,
( spl28_21
| spl28_10
| ~ spl28_9
| ~ spl28_20 ),
inference(avatar_split_clause,[],[f309,f302,f205,f209,f311]) ).
fof(f302,plain,
( spl28_20
<=> ! [X2,X1] :
( ~ in(sK18(sK10(X1,sK15,sK17)),sK10(sK16,sK15,X2))
| sK19(sK10(X1,sK15,sK17)) = sK18(sK10(X1,sK15,sK17))
| ~ finite(X1)
| ~ element(sK16,powerset(X2))
| ~ element(X1,powerset(sK17))
| sP1(sK15,X2)
| ~ element(X2,powerset(the_carrier(sK15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_20])]) ).
fof(f309,plain,
( ! [X0] :
( ~ element(sK17,powerset(the_carrier(sK15)))
| sP1(sK15,sK17)
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| ~ finite(X0)
| ~ element(X0,powerset(sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),sK10(sK16,sK15,sK17)) )
| ~ spl28_20 ),
inference(resolution,[],[f303,f120]) ).
fof(f303,plain,
( ! [X2,X1] :
( ~ element(sK16,powerset(X2))
| ~ finite(X1)
| sP1(sK15,X2)
| ~ element(X1,powerset(sK17))
| ~ in(sK18(sK10(X1,sK15,sK17)),sK10(sK16,sK15,X2))
| ~ element(X2,powerset(the_carrier(sK15)))
| sK19(sK10(X1,sK15,sK17)) = sK18(sK10(X1,sK15,sK17)) )
| ~ spl28_20 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f308,plain,
spl28_19,
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| spl28_19 ),
inference(resolution,[],[f300,f119]) ).
fof(f119,plain,
finite(sK16),
inference(cnf_transformation,[],[f72]) ).
fof(f300,plain,
( ~ finite(sK16)
| spl28_19 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f304,plain,
( ~ spl28_19
| spl28_20
| ~ spl28_6
| ~ spl28_12 ),
inference(avatar_split_clause,[],[f296,f220,f181,f302,f298]) ).
fof(f296,plain,
( ! [X2,X1] :
( ~ in(sK18(sK10(X1,sK15,sK17)),sK10(sK16,sK15,X2))
| ~ finite(sK16)
| ~ element(X2,powerset(the_carrier(sK15)))
| sP1(sK15,X2)
| ~ element(X1,powerset(sK17))
| ~ element(sK16,powerset(X2))
| ~ finite(X1)
| sK19(sK10(X1,sK15,sK17)) = sK18(sK10(X1,sK15,sK17)) )
| ~ spl28_6
| ~ spl28_12 ),
inference(resolution,[],[f294,f182]) ).
fof(f294,plain,
( ! [X0] :
( ~ in(sK18(sK10(X0,sK15,sK17)),powerset(sK16))
| ~ element(X0,powerset(sK17))
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| ~ finite(X0) )
| ~ spl28_12 ),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f293,plain,
( ! [X0] :
( ~ element(X0,powerset(sK17))
| ~ element(X0,powerset(sK17))
| ~ finite(X0)
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),powerset(sK16))
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| ~ finite(X0) )
| ~ spl28_12 ),
inference(resolution,[],[f292,f116]) ).
fof(f292,plain,
( ! [X0,X1] :
( ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X1,sK15,sK17))
| ~ element(X0,powerset(sK17))
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| ~ element(X1,powerset(sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),powerset(sK16))
| ~ finite(X0)
| ~ finite(X1) )
| ~ spl28_12 ),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f291,plain,
( ! [X0,X1] :
( ~ element(X1,powerset(sK17))
| ~ element(X0,powerset(sK17))
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| ~ element(X0,powerset(sK17))
| ~ finite(X0)
| ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X1,sK15,sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),powerset(sK16))
| ~ finite(X1)
| ~ finite(X0) )
| ~ spl28_12 ),
inference(resolution,[],[f290,f116]) ).
fof(f290,plain,
( ! [X2,X0,X1] :
( ~ in(sK18(sK10(X1,sK15,sK17)),sK10(X0,sK15,sK17))
| ~ element(X1,powerset(sK17))
| ~ finite(X1)
| ~ element(X0,powerset(sK17))
| ~ finite(X2)
| ~ finite(X0)
| ~ in(sK18(sK10(X1,sK15,sK17)),sK10(X2,sK15,sK17))
| ~ in(sK18(sK10(X1,sK15,sK17)),powerset(sK16))
| sK19(sK10(X1,sK15,sK17)) = sK18(sK10(X1,sK15,sK17))
| ~ element(X2,powerset(sK17)) )
| ~ spl28_12 ),
inference(duplicate_literal_removal,[],[f289]) ).
fof(f289,plain,
( ! [X2,X0,X1] :
( ~ finite(X1)
| ~ in(sK18(sK10(X1,sK15,sK17)),powerset(sK16))
| ~ finite(X1)
| ~ element(X0,powerset(sK17))
| sK19(sK10(X1,sK15,sK17)) = sK18(sK10(X1,sK15,sK17))
| ~ element(X2,powerset(sK17))
| ~ in(sK18(sK10(X1,sK15,sK17)),sK10(X0,sK15,sK17))
| ~ finite(X2)
| ~ in(sK18(sK10(X1,sK15,sK17)),sK10(X2,sK15,sK17))
| ~ element(X1,powerset(sK17))
| ~ finite(X0)
| ~ element(X1,powerset(sK17))
| sK19(sK10(X1,sK15,sK17)) = sK18(sK10(X1,sK15,sK17)) )
| ~ spl28_12 ),
inference(resolution,[],[f288,f116]) ).
fof(f288,plain,
( ! [X2,X3,X0,X1] :
( ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X2,sK15,sK17))
| ~ finite(X3)
| ~ element(X3,powerset(sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),powerset(sK16))
| ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X3,sK15,sK17))
| ~ finite(X0)
| ~ element(X2,powerset(sK17))
| ~ element(X1,powerset(sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X1,sK15,sK17))
| ~ element(X0,powerset(sK17))
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| ~ finite(X2)
| ~ finite(X1) )
| ~ spl28_12 ),
inference(duplicate_literal_removal,[],[f287]) ).
fof(f287,plain,
( ! [X2,X3,X0,X1] :
( ~ finite(X1)
| ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X3,sK15,sK17))
| ~ element(X3,powerset(sK17))
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| ~ element(X2,powerset(sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),powerset(sK16))
| ~ element(X0,powerset(sK17))
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X1,sK15,sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X2,sK15,sK17))
| ~ finite(X0)
| ~ element(X1,powerset(sK17))
| ~ finite(X2)
| ~ finite(X3) )
| ~ spl28_12 ),
inference(resolution,[],[f245,f116]) ).
fof(f245,plain,
( ! [X2,X3,X0,X1] :
( ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X0,sK15,sK17))
| ~ element(X0,powerset(sK17))
| ~ finite(X2)
| ~ element(X1,powerset(sK17))
| ~ element(X2,powerset(sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X2,sK15,sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X1,sK15,sK17))
| ~ finite(X3)
| ~ finite(X1)
| ~ in(sK18(sK10(X0,sK15,sK17)),sK10(X3,sK15,sK17))
| ~ element(X3,powerset(sK17))
| ~ in(sK18(sK10(X0,sK15,sK17)),powerset(sK16))
| sK18(sK10(X0,sK15,sK17)) = sK19(sK10(X0,sK15,sK17))
| ~ finite(X0) )
| ~ spl28_12 ),
inference(resolution,[],[f221,f116]) ).
fof(f250,plain,
( spl28_2
| spl28_15
| ~ spl28_1 ),
inference(avatar_split_clause,[],[f246,f152,f248,f156]) ).
fof(f156,plain,
( spl28_2
<=> empty_carrier(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_2])]) ).
fof(f152,plain,
( spl28_1
<=> transitive_relstr(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( ~ transitive_relstr(sK15)
| ~ element(X0,powerset(X1))
| ~ relstr_set_smaller(sK15,X2,X3)
| sP1(sK15,X1)
| in(X2,sK10(X0,sK15,X1))
| empty_carrier(sK15)
| ~ in(X3,X1)
| ~ element(X1,powerset(the_carrier(sK15)))
| ~ in(X2,powerset(X0))
| ~ finite(X0)
| ~ element(X3,the_carrier(sK15)) ),
inference(resolution,[],[f143,f110]) ).
fof(f110,plain,
rel_str(sK15),
inference(cnf_transformation,[],[f72]) ).
fof(f143,plain,
! [X2,X0,X1,X6,X7] :
( ~ rel_str(X1)
| ~ element(X0,powerset(X2))
| ~ transitive_relstr(X1)
| in(X6,sK10(X0,X1,X2))
| ~ relstr_set_smaller(X1,X6,X7)
| ~ in(X7,X2)
| ~ in(X6,powerset(X0))
| empty_carrier(X1)
| ~ element(X7,the_carrier(X1))
| ~ finite(X0)
| ~ element(X2,powerset(the_carrier(X1)))
| sP1(X1,X2) ),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X0)
| ~ element(X0,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| in(X5,sK10(X0,X1,X2))
| ~ in(X5,powerset(X0))
| ~ element(X7,the_carrier(X1))
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X6,X7)
| X5 != X6
| empty_carrier(X1)
| sP1(X1,X2) ),
inference(equality_resolution,[],[f106]) ).
fof(f106,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X0)
| ~ element(X0,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| in(X4,sK10(X0,X1,X2))
| ~ in(X5,powerset(X0))
| X4 != X5
| ~ element(X7,the_carrier(X1))
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X6,X7)
| X4 != X6
| empty_carrier(X1)
| sP1(X1,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X0)
| ~ element(X0,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ! [X4] :
( ( in(X4,sK10(X0,X1,X2))
| ! [X5] :
( ~ in(X5,powerset(X0))
| X4 != X5
| ! [X6] :
( ! [X7] :
( ~ element(X7,the_carrier(X1))
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X6,X7) )
| X4 != X6 ) ) )
& ( ( in(sK11(X0,X1,X2,X4),powerset(X0))
& sK11(X0,X1,X2,X4) = X4
& element(sK13(X1,X2,X4),the_carrier(X1))
& in(sK13(X1,X2,X4),X2)
& relstr_set_smaller(X1,sK12(X1,X2,X4),sK13(X1,X2,X4))
& sK12(X1,X2,X4) = X4 )
| ~ in(X4,sK10(X0,X1,X2)) ) )
| empty_carrier(X1)
| sP1(X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f57,f61,f60,f59,f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(X5,powerset(X0))
| X4 != X5
| ! [X6] :
( ! [X7] :
( ~ element(X7,the_carrier(X1))
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X6,X7) )
| X4 != X6 ) ) )
& ( ? [X8] :
( in(X8,powerset(X0))
& X4 = X8
& ? [X9] :
( ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,X9,X10) )
& X4 = X9 ) )
| ~ in(X4,X3) ) )
=> ! [X4] :
( ( in(X4,sK10(X0,X1,X2))
| ! [X5] :
( ~ in(X5,powerset(X0))
| X4 != X5
| ! [X6] :
( ! [X7] :
( ~ element(X7,the_carrier(X1))
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X6,X7) )
| X4 != X6 ) ) )
& ( ? [X8] :
( in(X8,powerset(X0))
& X4 = X8
& ? [X9] :
( ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,X9,X10) )
& X4 = X9 ) )
| ~ in(X4,sK10(X0,X1,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1,X2,X4] :
( ? [X8] :
( in(X8,powerset(X0))
& X4 = X8
& ? [X9] :
( ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,X9,X10) )
& X4 = X9 ) )
=> ( in(sK11(X0,X1,X2,X4),powerset(X0))
& sK11(X0,X1,X2,X4) = X4
& ? [X9] :
( ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,X9,X10) )
& X4 = X9 ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X1,X2,X4] :
( ? [X9] :
( ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,X9,X10) )
& X4 = X9 )
=> ( ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,sK12(X1,X2,X4),X10) )
& sK12(X1,X2,X4) = X4 ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X1,X2,X4] :
( ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,sK12(X1,X2,X4),X10) )
=> ( element(sK13(X1,X2,X4),the_carrier(X1))
& in(sK13(X1,X2,X4),X2)
& relstr_set_smaller(X1,sK12(X1,X2,X4),sK13(X1,X2,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X0)
| ~ element(X0,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(X5,powerset(X0))
| X4 != X5
| ! [X6] :
( ! [X7] :
( ~ element(X7,the_carrier(X1))
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X6,X7) )
| X4 != X6 ) ) )
& ( ? [X8] :
( in(X8,powerset(X0))
& X4 = X8
& ? [X9] :
( ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,X9,X10) )
& X4 = X9 ) )
| ~ in(X4,X3) ) )
| empty_carrier(X1)
| sP1(X1,X2) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X2,X1] :
( ~ transitive_relstr(X2)
| ~ rel_str(X2)
| ~ finite(X0)
| ~ element(X0,powerset(X1))
| ~ element(X1,powerset(the_carrier(X2)))
| ? [X10] :
! [X11] :
( ( in(X11,X10)
| ! [X12] :
( ~ in(X12,powerset(X0))
| X11 != X12
| ! [X13] :
( ! [X14] :
( ~ element(X14,the_carrier(X2))
| ~ in(X14,X1)
| ~ relstr_set_smaller(X2,X13,X14) )
| X11 != X13 ) ) )
& ( ? [X12] :
( in(X12,powerset(X0))
& X11 = X12
& ? [X13] :
( ? [X14] :
( element(X14,the_carrier(X2))
& in(X14,X1)
& relstr_set_smaller(X2,X13,X14) )
& X11 = X13 ) )
| ~ in(X11,X10) ) )
| empty_carrier(X2)
| sP1(X2,X1) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X2,X1] :
( ~ transitive_relstr(X2)
| ~ rel_str(X2)
| ~ finite(X0)
| ~ element(X0,powerset(X1))
| ~ element(X1,powerset(the_carrier(X2)))
| ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,powerset(X0))
& X11 = X12
& ? [X13] :
( ? [X14] :
( element(X14,the_carrier(X2))
& in(X14,X1)
& relstr_set_smaller(X2,X13,X14) )
& X11 = X13 ) ) )
| empty_carrier(X2)
| sP1(X2,X1) ),
inference(definition_folding,[],[f28,f41,f40]) ).
fof(f40,plain,
! [X1,X2,X4] :
( ? [X6] :
( ? [X7] :
( in(X7,X1)
& relstr_set_smaller(X2,X6,X7)
& element(X7,the_carrier(X2)) )
& X4 = X6 )
| ~ sP0(X1,X2,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f41,plain,
! [X2,X1] :
( ? [X4,X3,X5] :
( ? [X8] :
( X5 = X8
& ? [X9] :
( relstr_set_smaller(X2,X8,X9)
& element(X9,the_carrier(X2))
& in(X9,X1) ) )
& sP0(X1,X2,X4)
& X3 = X5
& X3 = X4
& X4 != X5 )
| ~ sP1(X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f28,plain,
! [X0,X2,X1] :
( ~ transitive_relstr(X2)
| ~ rel_str(X2)
| ~ finite(X0)
| ~ element(X0,powerset(X1))
| ~ element(X1,powerset(the_carrier(X2)))
| ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,powerset(X0))
& X11 = X12
& ? [X13] :
( ? [X14] :
( element(X14,the_carrier(X2))
& in(X14,X1)
& relstr_set_smaller(X2,X13,X14) )
& X11 = X13 ) ) )
| empty_carrier(X2)
| ? [X4,X3,X5] :
( ? [X8] :
( X5 = X8
& ? [X9] :
( relstr_set_smaller(X2,X8,X9)
& element(X9,the_carrier(X2))
& in(X9,X1) ) )
& ? [X6] :
( ? [X7] :
( in(X7,X1)
& relstr_set_smaller(X2,X6,X7)
& element(X7,the_carrier(X2)) )
& X4 = X6 )
& X3 = X5
& X3 = X4
& X4 != X5 ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X1] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,powerset(X0))
& X11 = X12
& ? [X13] :
( ? [X14] :
( element(X14,the_carrier(X2))
& in(X14,X1)
& relstr_set_smaller(X2,X13,X14) )
& X11 = X13 ) ) )
| ? [X4,X5,X3] :
( X4 != X5
& X3 = X4
& ? [X6] :
( ? [X7] :
( in(X7,X1)
& relstr_set_smaller(X2,X6,X7)
& element(X7,the_carrier(X2)) )
& X4 = X6 )
& X3 = X5
& ? [X8] :
( X5 = X8
& ? [X9] :
( relstr_set_smaller(X2,X8,X9)
& element(X9,the_carrier(X2))
& in(X9,X1) ) ) )
| ~ element(X1,powerset(the_carrier(X2)))
| ~ rel_str(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ element(X0,powerset(X1))
| ~ finite(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] :
( ( element(X1,powerset(the_carrier(X2)))
& rel_str(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& element(X0,powerset(X1))
& finite(X0) )
=> ( ! [X4,X5,X3] :
( ( X3 = X4
& ? [X6] :
( ? [X7] :
( in(X7,X1)
& relstr_set_smaller(X2,X6,X7)
& element(X7,the_carrier(X2)) )
& X4 = X6 )
& X3 = X5
& ? [X8] :
( X5 = X8
& ? [X9] :
( relstr_set_smaller(X2,X8,X9)
& element(X9,the_carrier(X2))
& in(X9,X1) ) ) )
=> X4 = X5 )
=> ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,powerset(X0))
& X11 = X12
& ? [X13] :
( ? [X14] :
( element(X14,the_carrier(X2))
& in(X14,X1)
& relstr_set_smaller(X2,X13,X14) )
& X11 = X13 ) ) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X2,X1,X0] :
( ( element(X1,powerset(the_carrier(X0)))
& element(X2,powerset(X1))
& rel_str(X0)
& finite(X2)
& transitive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ! [X3,X5,X4] :
( ( X3 = X5
& ? [X8] :
( X5 = X8
& ? [X9] :
( relstr_set_smaller(X0,X8,X9)
& element(X9,the_carrier(X0))
& in(X9,X1) ) )
& X3 = X4
& ? [X6] :
( X4 = X6
& ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,X6,X7) ) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( ? [X5] :
( in(X5,powerset(X2))
& X4 = X5
& ? [X10] :
( X4 = X10
& ? [X11] :
( element(X11,the_carrier(X0))
& relstr_set_smaller(X0,X10,X11)
& in(X11,X1) ) ) )
<=> in(X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e11_2_1__waybel_0__1) ).
fof(f244,plain,
( spl28_14
| ~ spl28_10 ),
inference(avatar_split_clause,[],[f225,f209,f240]) ).
fof(f240,plain,
( spl28_14
<=> sK4(sK15,sK17) = sK3(sK15,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_14])]) ).
fof(f225,plain,
( sK4(sK15,sK17) = sK3(sK15,sK17)
| ~ spl28_10 ),
inference(resolution,[],[f211,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK4(X0,X1) = sK3(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( sK6(X0,X1) = sK5(X0,X1)
& relstr_set_smaller(X0,sK6(X0,X1),sK7(X0,X1))
& element(sK7(X0,X1),the_carrier(X0))
& in(sK7(X0,X1),X1)
& sP0(X1,X0,sK3(X0,X1))
& sK4(X0,X1) = sK5(X0,X1)
& sK4(X0,X1) = sK3(X0,X1)
& sK3(X0,X1) != sK5(X0,X1) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7])],[f46,f49,f48,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ? [X5] :
( X4 = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) )
& sP0(X1,X0,X2)
& X3 = X4
& X2 = X3
& X2 != X4 )
=> ( ? [X5] :
( sK5(X0,X1) = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) )
& sP0(X1,X0,sK3(X0,X1))
& sK4(X0,X1) = sK5(X0,X1)
& sK4(X0,X1) = sK3(X0,X1)
& sK3(X0,X1) != sK5(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X5] :
( sK5(X0,X1) = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) )
=> ( sK6(X0,X1) = sK5(X0,X1)
& ? [X6] :
( relstr_set_smaller(X0,sK6(X0,X1),X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X6] :
( relstr_set_smaller(X0,sK6(X0,X1),X6)
& element(X6,the_carrier(X0))
& in(X6,X1) )
=> ( relstr_set_smaller(X0,sK6(X0,X1),sK7(X0,X1))
& element(sK7(X0,X1),the_carrier(X0))
& in(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ? [X5] :
( X4 = X5
& ? [X6] :
( relstr_set_smaller(X0,X5,X6)
& element(X6,the_carrier(X0))
& in(X6,X1) ) )
& sP0(X1,X0,X2)
& X3 = X4
& X2 = X3
& X2 != X4 )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X2,X1] :
( ? [X4,X3,X5] :
( ? [X8] :
( X5 = X8
& ? [X9] :
( relstr_set_smaller(X2,X8,X9)
& element(X9,the_carrier(X2))
& in(X9,X1) ) )
& sP0(X1,X2,X4)
& X3 = X5
& X3 = X4
& X4 != X5 )
| ~ sP1(X2,X1) ),
inference(nnf_transformation,[],[f41]) ).
fof(f211,plain,
( sP1(sK15,sK17)
| ~ spl28_10 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f243,plain,
( ~ spl28_10
| ~ spl28_14
| ~ spl28_10 ),
inference(avatar_split_clause,[],[f238,f209,f240,f209]) ).
fof(f238,plain,
( sK4(sK15,sK17) != sK3(sK15,sK17)
| ~ sP1(sK15,sK17)
| ~ spl28_10 ),
inference(superposition,[],[f88,f224]) ).
fof(f224,plain,
( sK4(sK15,sK17) = sK5(sK15,sK17)
| ~ spl28_10 ),
inference(resolution,[],[f211,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK4(X0,X1) = sK5(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f88,plain,
! [X0,X1] :
( sK3(X0,X1) != sK5(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f222,plain,
( spl28_10
| ~ spl28_9
| ~ spl28_5
| ~ spl28_1
| spl28_2
| spl28_12
| ~ spl28_11 ),
inference(avatar_split_clause,[],[f218,f213,f220,f156,f152,f177,f205,f209]) ).
fof(f177,plain,
( spl28_5
<=> rel_str(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_5])]) ).
fof(f213,plain,
( spl28_11
<=> ! [X0,X3,X2,X1] :
( ~ in(sK18(X0),sK10(X2,sK15,sK17))
| ~ element(X2,powerset(sK17))
| ~ finite(X3)
| ~ finite(X1)
| ~ element(X1,powerset(sK17))
| ~ in(sK18(X0),powerset(sK16))
| ~ in(sK18(X0),sK10(X3,sK15,sK17))
| ~ in(sK18(X0),X0)
| ~ element(X3,powerset(sK17))
| ~ element(sK13(sK15,sK17,sK18(X0)),the_carrier(sK15))
| ~ finite(X2)
| ~ in(sK18(X0),sK10(X1,sK15,sK17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_11])]) ).
fof(f218,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK18(X0),sK10(X1,sK15,sK17))
| ~ in(sK18(X0),sK10(X2,sK15,sK17))
| ~ element(X3,powerset(sK17))
| ~ in(sK18(X0),sK10(X3,sK15,sK17))
| ~ finite(X1)
| empty_carrier(sK15)
| ~ transitive_relstr(sK15)
| ~ rel_str(sK15)
| ~ finite(X2)
| ~ element(X4,powerset(sK17))
| ~ in(sK18(X0),sK10(X4,sK15,sK17))
| ~ element(sK17,powerset(the_carrier(sK15)))
| ~ in(sK18(X0),X0)
| ~ in(sK18(X0),powerset(sK16))
| ~ element(X2,powerset(sK17))
| ~ finite(X4)
| ~ element(X1,powerset(sK17))
| sP1(sK15,sK17)
| ~ finite(X3) )
| ~ spl28_11 ),
inference(resolution,[],[f214,f103]) ).
fof(f103,plain,
! [X2,X0,X1,X4] :
( element(sK13(X1,X2,X4),the_carrier(X1))
| empty_carrier(X1)
| ~ element(X0,powerset(X2))
| ~ rel_str(X1)
| ~ in(X4,sK10(X0,X1,X2))
| ~ transitive_relstr(X1)
| sP1(X1,X2)
| ~ finite(X0)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f62]) ).
fof(f214,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK13(sK15,sK17,sK18(X0)),the_carrier(sK15))
| ~ in(sK18(X0),powerset(sK16))
| ~ element(X3,powerset(sK17))
| ~ in(sK18(X0),X0)
| ~ finite(X2)
| ~ in(sK18(X0),sK10(X2,sK15,sK17))
| ~ in(sK18(X0),sK10(X1,sK15,sK17))
| ~ finite(X3)
| ~ finite(X1)
| ~ in(sK18(X0),sK10(X3,sK15,sK17))
| ~ element(X1,powerset(sK17))
| ~ element(X2,powerset(sK17)) )
| ~ spl28_11 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f217,plain,
spl28_9,
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f216,plain,
( $false
| spl28_9 ),
inference(resolution,[],[f207,f121]) ).
fof(f121,plain,
element(sK17,powerset(the_carrier(sK15))),
inference(cnf_transformation,[],[f72]) ).
fof(f207,plain,
( ~ element(sK17,powerset(the_carrier(sK15)))
| spl28_9 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f215,plain,
( ~ spl28_9
| spl28_10
| spl28_11
| ~ spl28_3
| ~ spl28_8 ),
inference(avatar_split_clause,[],[f203,f198,f160,f213,f209,f205]) ).
fof(f160,plain,
( spl28_3
<=> ! [X2,X0,X1] :
( ~ element(X0,powerset(X1))
| in(sK13(sK15,X1,X2),X1)
| ~ element(X1,powerset(the_carrier(sK15)))
| ~ in(X2,sK10(X0,sK15,X1))
| ~ finite(X0)
| sP1(sK15,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_3])]) ).
fof(f198,plain,
( spl28_8
<=> ! [X0,X3,X2,X1] :
( sP1(sK15,X0)
| ~ element(X0,powerset(the_carrier(sK15)))
| ~ finite(X3)
| ~ in(X1,sK10(X2,sK15,X0))
| relstr_set_smaller(sK15,X1,sK13(sK15,X0,X1))
| ~ finite(X2)
| ~ element(X2,powerset(X0))
| ~ in(X1,sK10(X3,sK15,X0))
| ~ element(X3,powerset(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_8])]) ).
fof(f203,plain,
( ! [X2,X3,X0,X1] :
( ~ in(sK18(X0),sK10(X2,sK15,sK17))
| ~ in(sK18(X0),sK10(X1,sK15,sK17))
| ~ finite(X2)
| sP1(sK15,sK17)
| ~ element(sK13(sK15,sK17,sK18(X0)),the_carrier(sK15))
| ~ element(X3,powerset(sK17))
| ~ in(sK18(X0),X0)
| ~ in(sK18(X0),sK10(X3,sK15,sK17))
| ~ in(sK18(X0),powerset(sK16))
| ~ element(X1,powerset(sK17))
| ~ finite(X1)
| ~ finite(X3)
| ~ element(sK17,powerset(the_carrier(sK15)))
| ~ element(X2,powerset(sK17)) )
| ~ spl28_3
| ~ spl28_8 ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f202,plain,
( ! [X2,X3,X0,X1] :
( ~ finite(X1)
| ~ element(sK13(sK15,sK17,sK18(X0)),the_carrier(sK15))
| sP1(sK15,sK17)
| ~ element(X1,powerset(sK17))
| ~ in(sK18(X0),powerset(sK16))
| ~ in(sK18(X0),X0)
| ~ element(X2,powerset(sK17))
| ~ in(sK18(X0),sK10(X2,sK15,sK17))
| ~ in(sK18(X0),sK10(X1,sK15,sK17))
| ~ finite(X3)
| sP1(sK15,sK17)
| ~ finite(X2)
| ~ element(sK17,powerset(the_carrier(sK15)))
| ~ element(sK17,powerset(the_carrier(sK15)))
| ~ in(sK18(X0),sK10(X3,sK15,sK17))
| ~ element(X3,powerset(sK17)) )
| ~ spl28_3
| ~ spl28_8 ),
inference(resolution,[],[f201,f161]) ).
fof(f161,plain,
( ! [X2,X0,X1] :
( in(sK13(sK15,X1,X2),X1)
| sP1(sK15,X1)
| ~ in(X2,sK10(X0,sK15,X1))
| ~ element(X0,powerset(X1))
| ~ finite(X0)
| ~ element(X1,powerset(the_carrier(sK15))) )
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f201,plain,
( ! [X2,X3,X0,X1] :
( ~ in(sK13(sK15,X3,sK18(X1)),sK17)
| ~ in(sK18(X1),sK10(X2,sK15,X3))
| ~ element(X0,powerset(X3))
| ~ element(X2,powerset(X3))
| sP1(sK15,X3)
| ~ finite(X0)
| ~ element(X3,powerset(the_carrier(sK15)))
| ~ in(sK18(X1),sK10(X0,sK15,X3))
| ~ finite(X2)
| ~ in(sK18(X1),powerset(sK16))
| ~ in(sK18(X1),X1)
| ~ element(sK13(sK15,X3,sK18(X1)),the_carrier(sK15)) )
| ~ spl28_8 ),
inference(resolution,[],[f199,f144]) ).
fof(f144,plain,
! [X3,X6] :
( ~ relstr_set_smaller(sK15,sK18(X3),X6)
| ~ element(X6,the_carrier(sK15))
| ~ in(sK18(X3),powerset(sK16))
| ~ in(X6,sK17)
| ~ in(sK18(X3),X3) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,plain,
! [X3,X6,X5] :
( ~ in(sK18(X3),X3)
| sK18(X3) != X5
| ~ element(X6,the_carrier(sK15))
| ~ in(X6,sK17)
| ~ relstr_set_smaller(sK15,X5,X6)
| ~ in(sK18(X3),powerset(sK16)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f199,plain,
( ! [X2,X3,X0,X1] :
( relstr_set_smaller(sK15,X1,sK13(sK15,X0,X1))
| ~ finite(X2)
| ~ in(X1,sK10(X3,sK15,X0))
| ~ element(X3,powerset(X0))
| sP1(sK15,X0)
| ~ element(X0,powerset(the_carrier(sK15)))
| ~ element(X2,powerset(X0))
| ~ finite(X3)
| ~ in(X1,sK10(X2,sK15,X0)) )
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f200,plain,
( ~ spl28_5
| ~ spl28_1
| spl28_2
| spl28_8
| ~ spl28_7 ),
inference(avatar_split_clause,[],[f196,f188,f198,f156,f152,f177]) ).
fof(f188,plain,
( spl28_7
<=> ! [X2,X0,X1] :
( ~ element(X0,powerset(the_carrier(sK15)))
| ~ element(X2,powerset(X0))
| sP1(sK15,X0)
| ~ finite(X2)
| relstr_set_smaller(sK15,sK12(sK15,X0,X1),sK13(sK15,X0,X1))
| ~ in(X1,sK10(X2,sK15,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_7])]) ).
fof(f196,plain,
( ! [X2,X3,X0,X1] :
( sP1(sK15,X0)
| ~ element(X3,powerset(X0))
| empty_carrier(sK15)
| ~ transitive_relstr(sK15)
| ~ in(X1,sK10(X3,sK15,X0))
| ~ element(X2,powerset(X0))
| ~ finite(X2)
| relstr_set_smaller(sK15,X1,sK13(sK15,X0,X1))
| ~ in(X1,sK10(X2,sK15,X0))
| ~ finite(X3)
| ~ element(X0,powerset(the_carrier(sK15)))
| ~ rel_str(sK15) )
| ~ spl28_7 ),
inference(duplicate_literal_removal,[],[f195]) ).
fof(f195,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X2,powerset(X0))
| relstr_set_smaller(sK15,X1,sK13(sK15,X0,X1))
| ~ transitive_relstr(sK15)
| sP1(sK15,X0)
| ~ element(X3,powerset(X0))
| ~ finite(X3)
| sP1(sK15,X0)
| empty_carrier(sK15)
| ~ element(X0,powerset(the_carrier(sK15)))
| ~ finite(X2)
| ~ in(X1,sK10(X2,sK15,X0))
| ~ element(X0,powerset(the_carrier(sK15)))
| ~ in(X1,sK10(X3,sK15,X0))
| ~ rel_str(sK15) )
| ~ spl28_7 ),
inference(superposition,[],[f189,f100]) ).
fof(f100,plain,
! [X2,X0,X1,X4] :
( sK12(X1,X2,X4) = X4
| ~ in(X4,sK10(X0,X1,X2))
| sP1(X1,X2)
| ~ finite(X0)
| ~ transitive_relstr(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X0,powerset(X2))
| ~ rel_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f189,plain,
( ! [X2,X0,X1] :
( relstr_set_smaller(sK15,sK12(sK15,X0,X1),sK13(sK15,X0,X1))
| ~ in(X1,sK10(X2,sK15,X0))
| ~ finite(X2)
| ~ element(X0,powerset(the_carrier(sK15)))
| ~ element(X2,powerset(X0))
| sP1(sK15,X0) )
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f190,plain,
( ~ spl28_1
| spl28_2
| spl28_7 ),
inference(avatar_split_clause,[],[f186,f188,f156,f152]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(the_carrier(sK15)))
| ~ in(X1,sK10(X2,sK15,X0))
| relstr_set_smaller(sK15,sK12(sK15,X0,X1),sK13(sK15,X0,X1))
| ~ finite(X2)
| sP1(sK15,X0)
| empty_carrier(sK15)
| ~ transitive_relstr(sK15)
| ~ element(X2,powerset(X0)) ),
inference(resolution,[],[f101,f110]) ).
fof(f101,plain,
! [X2,X0,X1,X4] :
( ~ rel_str(X1)
| relstr_set_smaller(X1,sK12(X1,X2,X4),sK13(X1,X2,X4))
| ~ in(X4,sK10(X0,X1,X2))
| ~ finite(X0)
| sP1(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ transitive_relstr(X1)
| ~ element(X0,powerset(X2))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f185,plain,
spl28_5,
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f184,plain,
( $false
| spl28_5 ),
inference(resolution,[],[f179,f110]) ).
fof(f179,plain,
( ~ rel_str(sK15)
| spl28_5 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f183,plain,
( ~ spl28_1
| spl28_2
| ~ spl28_5
| spl28_6
| ~ spl28_4 ),
inference(avatar_split_clause,[],[f175,f168,f181,f177,f156,f152]) ).
fof(f168,plain,
( spl28_4
<=> ! [X2,X0,X1] :
( ~ in(X1,sK10(X2,sK15,X0))
| ~ finite(X2)
| in(sK11(X2,sK15,X0,X1),powerset(X2))
| sP1(sK15,X0)
| ~ element(X0,powerset(the_carrier(sK15)))
| ~ element(X2,powerset(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_4])]) ).
fof(f175,plain,
( ! [X2,X0,X1] :
( ~ in(X2,sK10(X0,sK15,X1))
| ~ rel_str(sK15)
| ~ element(X0,powerset(X1))
| empty_carrier(sK15)
| ~ finite(X0)
| sP1(sK15,X1)
| in(X2,powerset(X0))
| ~ transitive_relstr(sK15)
| ~ element(X1,powerset(the_carrier(sK15))) )
| ~ spl28_4 ),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f174,plain,
( ! [X2,X0,X1] :
( ~ in(X2,sK10(X0,sK15,X1))
| ~ in(X2,sK10(X0,sK15,X1))
| in(X2,powerset(X0))
| ~ transitive_relstr(sK15)
| ~ element(X1,powerset(the_carrier(sK15)))
| empty_carrier(sK15)
| ~ finite(X0)
| sP1(sK15,X1)
| ~ element(X0,powerset(X1))
| ~ element(X0,powerset(X1))
| ~ finite(X0)
| ~ element(X1,powerset(the_carrier(sK15)))
| sP1(sK15,X1)
| ~ rel_str(sK15) )
| ~ spl28_4 ),
inference(superposition,[],[f169,f104]) ).
fof(f104,plain,
! [X2,X0,X1,X4] :
( sK11(X0,X1,X2,X4) = X4
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X0,powerset(X2))
| sP1(X1,X2)
| ~ transitive_relstr(X1)
| ~ in(X4,sK10(X0,X1,X2))
| ~ finite(X0)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f169,plain,
( ! [X2,X0,X1] :
( in(sK11(X2,sK15,X0,X1),powerset(X2))
| ~ element(X2,powerset(X0))
| ~ in(X1,sK10(X2,sK15,X0))
| ~ element(X0,powerset(the_carrier(sK15)))
| sP1(sK15,X0)
| ~ finite(X2) )
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f172,plain,
~ spl28_2,
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f171,plain,
( $false
| ~ spl28_2 ),
inference(resolution,[],[f158,f111]) ).
fof(f111,plain,
~ empty_carrier(sK15),
inference(cnf_transformation,[],[f72]) ).
fof(f158,plain,
( empty_carrier(sK15)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f170,plain,
( spl28_2
| ~ spl28_1
| spl28_4 ),
inference(avatar_split_clause,[],[f166,f168,f152,f156]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ in(X1,sK10(X2,sK15,X0))
| ~ element(X2,powerset(X0))
| ~ element(X0,powerset(the_carrier(sK15)))
| sP1(sK15,X0)
| ~ transitive_relstr(sK15)
| in(sK11(X2,sK15,X0,X1),powerset(X2))
| empty_carrier(sK15)
| ~ finite(X2) ),
inference(resolution,[],[f105,f110]) ).
fof(f105,plain,
! [X2,X0,X1,X4] :
( ~ rel_str(X1)
| sP1(X1,X2)
| ~ in(X4,sK10(X0,X1,X2))
| ~ transitive_relstr(X1)
| in(sK11(X0,X1,X2,X4),powerset(X0))
| empty_carrier(X1)
| ~ finite(X0)
| ~ element(X0,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f62]) ).
fof(f164,plain,
spl28_1,
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| spl28_1 ),
inference(resolution,[],[f154,f118]) ).
fof(f118,plain,
transitive_relstr(sK15),
inference(cnf_transformation,[],[f72]) ).
fof(f154,plain,
( ~ transitive_relstr(sK15)
| spl28_1 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f162,plain,
( ~ spl28_1
| spl28_2
| spl28_3 ),
inference(avatar_split_clause,[],[f150,f160,f156,f152]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(X1))
| empty_carrier(sK15)
| sP1(sK15,X1)
| ~ finite(X0)
| ~ in(X2,sK10(X0,sK15,X1))
| ~ transitive_relstr(sK15)
| ~ element(X1,powerset(the_carrier(sK15)))
| in(sK13(sK15,X1,X2),X1) ),
inference(resolution,[],[f102,f110]) ).
fof(f102,plain,
! [X2,X0,X1,X4] :
( ~ rel_str(X1)
| empty_carrier(X1)
| ~ element(X0,powerset(X2))
| sP1(X1,X2)
| ~ in(X4,sK10(X0,X1,X2))
| in(sK13(X1,X2,X4),X2)
| ~ finite(X0)
| ~ transitive_relstr(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 15:20:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (26352)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)
% 0.19/0.49 % (26344)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)
% 0.19/0.49 % (26348)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)
% 0.19/0.49 % (26344)Instruction limit reached!
% 0.19/0.49 % (26344)------------------------------
% 0.19/0.49 % (26344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (26344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (26344)Termination reason: Unknown
% 0.19/0.49 % (26344)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (26344)Memory used [KB]: 1407
% 0.19/0.49 % (26344)Time elapsed: 0.005 s
% 0.19/0.49 % (26344)Instructions burned: 3 (million)
% 0.19/0.49 % (26344)------------------------------
% 0.19/0.49 % (26344)------------------------------
% 0.19/0.49 % (26348)Instruction limit reached!
% 0.19/0.49 % (26348)------------------------------
% 0.19/0.49 % (26348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (26348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (26348)Termination reason: Unknown
% 0.19/0.49 % (26348)Termination phase: Preprocessing 2
% 0.19/0.49
% 0.19/0.49 % (26348)Memory used [KB]: 1407
% 0.19/0.49 % (26348)Time elapsed: 0.003 s
% 0.19/0.49 % (26348)Instructions burned: 2 (million)
% 0.19/0.49 % (26348)------------------------------
% 0.19/0.49 % (26348)------------------------------
% 0.19/0.49 % (26340)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)
% 0.19/0.50 % (26335)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)
% 0.19/0.50 % (26333)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)
% 0.19/0.50 % (26334)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)
% 0.19/0.50 % (26332)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)
% 0.19/0.50 % (26332)Instruction limit reached!
% 0.19/0.50 % (26332)------------------------------
% 0.19/0.50 % (26332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (26332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (26332)Termination reason: Unknown
% 0.19/0.50 % (26332)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (26332)Memory used [KB]: 1407
% 0.19/0.50 % (26332)Time elapsed: 0.003 s
% 0.19/0.50 % (26332)Instructions burned: 4 (million)
% 0.19/0.50 % (26332)------------------------------
% 0.19/0.50 % (26332)------------------------------
% 0.19/0.50 % (26336)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)
% 0.19/0.50 % (26338)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)
% 0.19/0.51 % (26356)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (26339)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)
% 0.19/0.51 % (26340)Instruction limit reached!
% 0.19/0.51 % (26340)------------------------------
% 0.19/0.51 % (26340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (26340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (26340)Termination reason: Unknown
% 0.19/0.51 % (26340)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (26340)Memory used [KB]: 6140
% 0.19/0.51 % (26340)Time elapsed: 0.120 s
% 0.19/0.51 % (26340)Instructions burned: 12 (million)
% 0.19/0.51 % (26340)------------------------------
% 0.19/0.51 % (26340)------------------------------
% 0.19/0.51 % (26347)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (26343)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (26347)Instruction limit reached!
% 0.19/0.51 % (26347)------------------------------
% 0.19/0.51 % (26347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (26347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (26347)Termination reason: Unknown
% 0.19/0.51 % (26347)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (26347)Memory used [KB]: 1535
% 0.19/0.51 % (26347)Time elapsed: 0.004 s
% 0.19/0.51 % (26347)Instructions burned: 3 (million)
% 0.19/0.51 % (26347)------------------------------
% 0.19/0.51 % (26347)------------------------------
% 0.19/0.51 % (26359)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)
% 0.19/0.51 % (26330)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (26355)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52 % (26358)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)
% 0.19/0.52 % (26357)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)
% 0.19/0.52 % (26356)Refutation not found, incomplete strategy% (26356)------------------------------
% 0.19/0.52 % (26356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26356)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (26356)Memory used [KB]: 6396
% 0.19/0.52 % (26356)Time elapsed: 0.127 s
% 0.19/0.52 % (26356)Instructions burned: 15 (million)
% 0.19/0.52 % (26356)------------------------------
% 0.19/0.52 % (26356)------------------------------
% 0.19/0.52 % (26358)Instruction limit reached!
% 0.19/0.52 % (26358)------------------------------
% 0.19/0.52 % (26358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26358)Termination reason: Unknown
% 0.19/0.52 % (26358)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26358)Memory used [KB]: 6140
% 0.19/0.52 % (26358)Time elapsed: 0.140 s
% 0.19/0.52 % (26358)Instructions burned: 8 (million)
% 0.19/0.52 % (26358)------------------------------
% 0.19/0.52 % (26358)------------------------------
% 0.19/0.52 % (26337)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)
% 0.19/0.52 % (26331)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)
% 0.19/0.52 % (26334)Instruction limit reached!
% 0.19/0.52 % (26334)------------------------------
% 0.19/0.52 % (26334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26334)Termination reason: Unknown
% 0.19/0.52 % (26334)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26334)Memory used [KB]: 6012
% 0.19/0.52 % (26334)Time elapsed: 0.008 s
% 0.19/0.52 % (26334)Instructions burned: 14 (million)
% 0.19/0.52 % (26334)------------------------------
% 0.19/0.52 % (26334)------------------------------
% 0.19/0.52 % (26350)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)
% 0.19/0.52 % (26345)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)
% 0.19/0.52 % (26335)Instruction limit reached!
% 0.19/0.52 % (26335)------------------------------
% 0.19/0.52 % (26335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26335)Termination reason: Unknown
% 0.19/0.52 % (26335)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26335)Memory used [KB]: 1663
% 0.19/0.52 % (26335)Time elapsed: 0.125 s
% 0.19/0.52 % (26335)Instructions burned: 16 (million)
% 0.19/0.52 % (26335)------------------------------
% 0.19/0.52 % (26335)------------------------------
% 0.19/0.52 % (26351)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)
% 0.19/0.53 % (26349)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)
% 0.19/0.53 % (26342)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)
% 0.19/0.53 % (26349)Refutation not found, incomplete strategy% (26349)------------------------------
% 0.19/0.53 % (26349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26349)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (26349)Memory used [KB]: 6140
% 0.19/0.53 % (26349)Time elapsed: 0.153 s
% 0.19/0.53 % (26349)Instructions burned: 8 (million)
% 0.19/0.53 % (26349)------------------------------
% 0.19/0.53 % (26349)------------------------------
% 0.19/0.53 % (26353)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)
% 0.19/0.53 % (26341)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)
% 0.19/0.53 % (26346)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (26341)Instruction limit reached!
% 0.19/0.53 % (26341)------------------------------
% 0.19/0.53 % (26341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26341)Termination reason: Unknown
% 0.19/0.53 % (26341)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (26341)Memory used [KB]: 6140
% 0.19/0.53 % (26341)Time elapsed: 0.153 s
% 0.19/0.53 % (26341)Instructions burned: 7 (million)
% 0.19/0.53 % (26341)------------------------------
% 0.19/0.53 % (26341)------------------------------
% 0.19/0.55 % (26345)Instruction limit reached!
% 0.19/0.55 % (26345)------------------------------
% 0.19/0.55 % (26345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (26345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (26345)Termination reason: Unknown
% 0.19/0.55 % (26345)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (26345)Memory used [KB]: 6140
% 0.19/0.55 % (26345)Time elapsed: 0.138 s
% 0.19/0.55 % (26345)Instructions burned: 9 (million)
% 0.19/0.55 % (26345)------------------------------
% 0.19/0.55 % (26345)------------------------------
% 0.19/0.55 % (26331)Instruction limit reached!
% 0.19/0.55 % (26331)------------------------------
% 0.19/0.55 % (26331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (26331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (26331)Termination reason: Unknown
% 0.19/0.55 % (26331)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (26331)Memory used [KB]: 6140
% 0.19/0.55 % (26331)Time elapsed: 0.168 s
% 0.19/0.55 % (26331)Instructions burned: 14 (million)
% 0.19/0.55 % (26331)------------------------------
% 0.19/0.55 % (26331)------------------------------
% 1.64/0.55 % (26359)Instruction limit reached!
% 1.64/0.55 % (26359)------------------------------
% 1.64/0.55 % (26359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.55 % (26359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.55 % (26359)Termination reason: Unknown
% 1.64/0.55 % (26359)Termination phase: Saturation
% 1.64/0.55
% 1.64/0.55 % (26359)Memory used [KB]: 6268
% 1.64/0.55 % (26359)Time elapsed: 0.163 s
% 1.64/0.55 % (26359)Instructions burned: 24 (million)
% 1.64/0.55 % (26359)------------------------------
% 1.64/0.55 % (26359)------------------------------
% 1.64/0.55 % (26336)Instruction limit reached!
% 1.64/0.55 % (26336)------------------------------
% 1.64/0.55 % (26336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.55 % (26336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.55 % (26336)Termination reason: Unknown
% 1.64/0.55 % (26336)Termination phase: Saturation
% 1.64/0.55
% 1.64/0.55 % (26336)Memory used [KB]: 6396
% 1.64/0.55 % (26336)Time elapsed: 0.121 s
% 1.64/0.55 % (26336)Instructions burned: 39 (million)
% 1.64/0.55 % (26336)------------------------------
% 1.64/0.55 % (26336)------------------------------
% 1.64/0.56 % (26342)Refutation not found, incomplete strategy% (26342)------------------------------
% 1.64/0.56 % (26342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56 % (26342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56 % (26342)Termination reason: Refutation not found, incomplete strategy
% 1.64/0.56
% 1.64/0.56 % (26342)Memory used [KB]: 1663
% 1.64/0.56 % (26342)Time elapsed: 0.158 s
% 1.64/0.56 % (26342)Instructions burned: 13 (million)
% 1.64/0.56 % (26342)------------------------------
% 1.64/0.56 % (26342)------------------------------
% 1.64/0.56 % (26354)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.64/0.56 % (26357)Instruction limit reached!
% 1.64/0.56 % (26357)------------------------------
% 1.64/0.56 % (26357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56 % (26357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56 % (26357)Termination reason: Unknown
% 1.64/0.56 % (26357)Termination phase: Saturation
% 1.64/0.56
% 1.64/0.56 % (26357)Memory used [KB]: 6524
% 1.64/0.56 % (26357)Time elapsed: 0.178 s
% 1.64/0.56 % (26357)Instructions burned: 25 (million)
% 1.64/0.56 % (26357)------------------------------
% 1.64/0.56 % (26357)------------------------------
% 1.81/0.57 % (26339)Instruction limit reached!
% 1.81/0.57 % (26339)------------------------------
% 1.81/0.57 % (26339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.57 % (26339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.57 % (26339)Termination reason: Unknown
% 1.81/0.57 % (26339)Termination phase: Saturation
% 1.81/0.57
% 1.81/0.57 % (26339)Memory used [KB]: 6652
% 1.81/0.57 % (26339)Time elapsed: 0.185 s
% 1.81/0.57 % (26339)Instructions burned: 34 (million)
% 1.81/0.57 % (26339)------------------------------
% 1.81/0.57 % (26339)------------------------------
% 1.81/0.57 % (26350)Instruction limit reached!
% 1.81/0.57 % (26350)------------------------------
% 1.81/0.57 % (26350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.57 % (26350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.57 % (26350)Termination reason: Unknown
% 1.81/0.57 % (26350)Termination phase: Saturation
% 1.81/0.57
% 1.81/0.57 % (26350)Memory used [KB]: 6268
% 1.81/0.57 % (26350)Time elapsed: 0.180 s
% 1.81/0.57 % (26350)Instructions burned: 31 (million)
% 1.81/0.57 % (26350)------------------------------
% 1.81/0.57 % (26350)------------------------------
% 1.81/0.59 % (26333)Instruction limit reached!
% 1.81/0.59 % (26333)------------------------------
% 1.81/0.59 % (26333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (26333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (26333)Termination reason: Unknown
% 1.81/0.59 % (26333)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (26333)Memory used [KB]: 7164
% 1.81/0.59 % (26333)Time elapsed: 0.173 s
% 1.81/0.59 % (26333)Instructions burned: 51 (million)
% 1.81/0.59 % (26333)------------------------------
% 1.81/0.59 % (26333)------------------------------
% 1.81/0.60 % (26338)Instruction limit reached!
% 1.81/0.60 % (26338)------------------------------
% 1.81/0.60 % (26338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60 % (26338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60 % (26338)Termination reason: Unknown
% 1.81/0.60 % (26338)Termination phase: Saturation
% 1.81/0.60
% 1.81/0.60 % (26338)Memory used [KB]: 6652
% 1.81/0.60 % (26338)Time elapsed: 0.209 s
% 1.81/0.60 % (26338)Instructions burned: 50 (million)
% 1.81/0.60 % (26338)------------------------------
% 1.81/0.60 % (26338)------------------------------
% 1.81/0.60 % (26337)Instruction limit reached!
% 1.81/0.60 % (26337)------------------------------
% 1.81/0.60 % (26337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60 % (26337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60 % (26337)Termination reason: Unknown
% 1.81/0.60 % (26337)Termination phase: Saturation
% 1.81/0.60
% 1.81/0.60 % (26337)Memory used [KB]: 6780
% 1.81/0.60 % (26337)Time elapsed: 0.215 s
% 1.81/0.60 % (26337)Instructions burned: 40 (million)
% 1.81/0.60 % (26337)------------------------------
% 1.81/0.60 % (26337)------------------------------
% 1.81/0.61 % (26346)Instruction limit reached!
% 1.81/0.61 % (26346)------------------------------
% 1.81/0.61 % (26346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.61 % (26346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.61 % (26346)Termination reason: Unknown
% 1.81/0.61 % (26346)Termination phase: Saturation
% 1.81/0.61
% 1.81/0.61 % (26346)Memory used [KB]: 6524
% 1.81/0.61 % (26346)Time elapsed: 0.223 s
% 1.81/0.61 % (26346)Instructions burned: 50 (million)
% 1.81/0.61 % (26346)------------------------------
% 1.81/0.61 % (26346)------------------------------
% 1.81/0.61 % (26352)Instruction limit reached!
% 1.81/0.61 % (26352)------------------------------
% 1.81/0.61 % (26352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.61 % (26352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.61 % (26352)Termination reason: Unknown
% 1.81/0.61 % (26352)Termination phase: Saturation
% 1.81/0.61
% 1.81/0.61 % (26352)Memory used [KB]: 7164
% 1.81/0.61 % (26352)Time elapsed: 0.188 s
% 1.81/0.61 % (26352)Instructions burned: 82 (million)
% 1.81/0.61 % (26352)------------------------------
% 1.81/0.61 % (26352)------------------------------
% 1.81/0.62 % (26343)Instruction limit reached!
% 1.81/0.62 % (26343)------------------------------
% 1.81/0.62 % (26343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62 % (26343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62 % (26343)Termination reason: Unknown
% 1.81/0.62 % (26343)Termination phase: Saturation
% 1.81/0.62
% 1.81/0.62 % (26343)Memory used [KB]: 7291
% 1.81/0.62 % (26343)Time elapsed: 0.222 s
% 1.81/0.62 % (26343)Instructions burned: 52 (million)
% 1.81/0.62 % (26343)------------------------------
% 1.81/0.62 % (26343)------------------------------
% 1.81/0.62 % (26363)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.20/0.62 % (26361)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.20/0.63 % (26360)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.20/0.63 % (26360)Refutation not found, incomplete strategy% (26360)------------------------------
% 2.20/0.63 % (26360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.63 % (26360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.63 % (26360)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.63
% 2.20/0.63 % (26360)Memory used [KB]: 6012
% 2.20/0.63 % (26360)Time elapsed: 0.109 s
% 2.20/0.63 % (26360)Instructions burned: 4 (million)
% 2.20/0.63 % (26360)------------------------------
% 2.20/0.63 % (26360)------------------------------
% 2.20/0.63 % (26353)Instruction limit reached!
% 2.20/0.63 % (26353)------------------------------
% 2.20/0.63 % (26353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.63 % (26353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.63 % (26353)Termination reason: Unknown
% 2.20/0.63 % (26353)Termination phase: Saturation
% 2.20/0.63
% 2.20/0.63 % (26353)Memory used [KB]: 1918
% 2.20/0.63 % (26353)Time elapsed: 0.230 s
% 2.20/0.63 % (26353)Instructions burned: 45 (million)
% 2.20/0.63 % (26353)------------------------------
% 2.20/0.63 % (26353)------------------------------
% 2.20/0.64 % (26354)Instruction limit reached!
% 2.20/0.64 % (26354)------------------------------
% 2.20/0.64 % (26354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.64 % (26354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.64 % (26354)Termination reason: Unknown
% 2.20/0.64 % (26354)Termination phase: Saturation
% 2.20/0.64
% 2.20/0.64 % (26354)Memory used [KB]: 6780
% 2.20/0.64 % (26354)Time elapsed: 0.246 s
% 2.20/0.64 % (26354)Instructions burned: 51 (million)
% 2.20/0.64 % (26354)------------------------------
% 2.20/0.64 % (26354)------------------------------
% 2.20/0.64 % (26362)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.20/0.64 % (26366)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.20/0.64 % (26365)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.20/0.65 % (26367)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.20/0.65 % (26361)Instruction limit reached!
% 2.20/0.65 % (26361)------------------------------
% 2.20/0.65 % (26361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65 % (26361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65 % (26361)Termination reason: Unknown
% 2.20/0.65 % (26361)Termination phase: Saturation
% 2.20/0.65
% 2.20/0.65 % (26361)Memory used [KB]: 10618
% 2.20/0.65 % (26361)Time elapsed: 0.122 s
% 2.20/0.65 % (26361)Instructions burned: 7 (million)
% 2.20/0.65 % (26361)------------------------------
% 2.20/0.65 % (26361)------------------------------
% 2.34/0.66 % (26368)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.34/0.66 % (26370)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/84Mi)
% 2.34/0.66 % (26369)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.34/0.67 % (26371)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.34/0.67 % (26364)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.34/0.68 % (26373)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.34/0.68 % (26372)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.34/0.68 % (26368)Refutation not found, incomplete strategy% (26368)------------------------------
% 2.34/0.68 % (26368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.68 % (26368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.68 % (26368)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.68
% 2.34/0.68 % (26368)Memory used [KB]: 6012
% 2.34/0.68 % (26368)Time elapsed: 0.115 s
% 2.34/0.68 % (26368)Instructions burned: 4 (million)
% 2.34/0.68 % (26368)------------------------------
% 2.34/0.68 % (26368)------------------------------
% 2.34/0.68 % (26374)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.34/0.68 % (26370)Refutation not found, incomplete strategy% (26370)------------------------------
% 2.34/0.68 % (26370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.68 % (26370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.68 % (26370)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.68
% 2.34/0.68 % (26370)Memory used [KB]: 6012
% 2.34/0.68 % (26370)Time elapsed: 0.124 s
% 2.34/0.68 % (26370)Instructions burned: 6 (million)
% 2.34/0.68 % (26370)------------------------------
% 2.34/0.68 % (26370)------------------------------
% 2.34/0.68 % (26364)Refutation not found, incomplete strategy% (26364)------------------------------
% 2.34/0.68 % (26364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.68 % (26364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.68 % (26364)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.68
% 2.34/0.68 % (26364)Memory used [KB]: 1663
% 2.34/0.68 % (26364)Time elapsed: 0.138 s
% 2.34/0.68 % (26364)Instructions burned: 18 (million)
% 2.34/0.68 % (26364)------------------------------
% 2.34/0.68 % (26364)------------------------------
% 2.34/0.69 % (26355)Instruction limit reached!
% 2.34/0.69 % (26355)------------------------------
% 2.34/0.69 % (26355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.69 % (26355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.69 % (26355)Termination reason: Unknown
% 2.34/0.69 % (26355)Termination phase: Saturation
% 2.34/0.69
% 2.34/0.69 % (26351)Instruction limit reached!
% 2.34/0.69 % (26351)------------------------------
% 2.34/0.69 % (26351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.69 % (26355)Memory used [KB]: 7419
% 2.34/0.69 % (26355)Time elapsed: 0.288 s
% 2.34/0.69 % (26355)Instructions burned: 96 (million)
% 2.34/0.69 % (26351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.69 % (26355)------------------------------
% 2.34/0.69 % (26355)------------------------------
% 2.34/0.69 % (26351)Termination reason: Unknown
% 2.34/0.69 % (26351)Termination phase: Saturation
% 2.34/0.69
% 2.34/0.69 % (26351)Memory used [KB]: 7931
% 2.34/0.69 % (26351)Time elapsed: 0.297 s
% 2.34/0.69 % (26351)Instructions burned: 99 (million)
% 2.34/0.69 % (26351)------------------------------
% 2.34/0.69 % (26351)------------------------------
% 2.34/0.69 % (26375)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.34/0.69 % (26376)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.34/0.70 % (26367)First to succeed.
% 2.34/0.71 % (26378)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.34/0.71 % (26363)Instruction limit reached!
% 2.34/0.71 % (26363)------------------------------
% 2.34/0.71 % (26363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.71 % (26363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.71 % (26363)Termination reason: Unknown
% 2.34/0.71 % (26363)Termination phase: Saturation
% 2.34/0.71
% 2.34/0.71 % (26363)Memory used [KB]: 2814
% 2.34/0.71 % (26363)Time elapsed: 0.115 s
% 2.34/0.71 % (26363)Instructions burned: 69 (million)
% 2.34/0.71 % (26363)------------------------------
% 2.34/0.71 % (26363)------------------------------
% 2.34/0.71 % (26377)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.34/0.72 % (26375)Instruction limit reached!
% 2.34/0.72 % (26375)------------------------------
% 2.34/0.72 % (26375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.72 % (26375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.72 % (26375)Termination reason: Unknown
% 2.34/0.72 % (26375)Termination phase: Saturation
% 2.34/0.72
% 2.34/0.72 % (26375)Memory used [KB]: 6268
% 2.34/0.72 % (26375)Time elapsed: 0.122 s
% 2.34/0.72 % (26375)Instructions burned: 15 (million)
% 2.34/0.72 % (26375)------------------------------
% 2.34/0.72 % (26375)------------------------------
% 2.34/0.72 % (26377)Refutation not found, incomplete strategy% (26377)------------------------------
% 2.34/0.72 % (26377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.73 % (26367)Refutation found. Thanks to Tanya!
% 2.34/0.73 % SZS status Theorem for theBenchmark
% 2.34/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.73 % (26367)------------------------------
% 2.34/0.73 % (26367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.73 % (26367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.73 % (26367)Termination reason: Refutation
% 2.34/0.73
% 2.34/0.73 % (26367)Memory used [KB]: 6396
% 2.34/0.73 % (26367)Time elapsed: 0.163 s
% 2.34/0.73 % (26367)Instructions burned: 27 (million)
% 2.34/0.73 % (26367)------------------------------
% 2.34/0.73 % (26367)------------------------------
% 2.34/0.73 % (26329)Success in time 0.39 s
%------------------------------------------------------------------------------