TSTP Solution File: SEU332+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU332+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 : n012.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 18:28:51 EDT 2022
% Result : Theorem 2.07s 0.66s
% Output : Refutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 152 ( 4 unt; 0 def)
% Number of atoms : 993 ( 313 equ)
% Maximal formula atoms : 32 ( 6 avg)
% Number of connectives : 1325 ( 484 ~; 543 |; 241 &)
% ( 17 <=>; 38 =>; 0 <=; 2 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 3 con; 0-4 aty)
% Number of variables : 544 ( 381 !; 163 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f511,plain,
$false,
inference(avatar_sat_refutation,[],[f259,f293,f320,f354,f393,f407,f411,f470,f490,f510]) ).
fof(f510,plain,
( ~ spl24_1
| spl24_8
| ~ spl24_13 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f509,plain,
( $false
| ~ spl24_1
| spl24_8
| ~ spl24_13 ),
inference(subsumption_resolution,[],[f508,f318]) ).
fof(f318,plain,
( ~ in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18))
| spl24_8 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl24_8
<=> in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).
fof(f508,plain,
( in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18))
| ~ spl24_1
| spl24_8
| ~ spl24_13 ),
inference(resolution,[],[f507,f172]) ).
fof(f172,plain,
! [X3] :
( in(sK22(X3),sK17)
| in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( one_sorted_str(sK18)
& ! [X3] :
( ( ! [X5,X6] :
( ~ in(X5,sK17)
| ( sK21(X5,X6) = X5
& element(sK21(X5,X6),powerset(the_carrier(sK18)))
& subset_complement(the_carrier(sK18),sK21(X5,X6)) != X6 )
| ordered_pair(X5,X6) != sK20(X3) )
| ~ in(sK20(X3),cartesian_product2(sK17,sK19))
| ~ in(sK20(X3),X3) )
& ( ( in(sK22(X3),sK17)
& ! [X10] :
( sK22(X3) != X10
| ~ element(X10,powerset(the_carrier(sK18)))
| sK23(X3) = subset_complement(the_carrier(sK18),X10) )
& ordered_pair(sK22(X3),sK23(X3)) = sK20(X3)
& in(sK20(X3),cartesian_product2(sK17,sK19)) )
| in(sK20(X3),X3) ) )
& element(sK17,powerset(powerset(the_carrier(sK18)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21,sK22,sK23])],[f104,f109,f108,f107,f106,f105]) ).
fof(f105,plain,
( ? [X0,X1] :
( one_sorted_str(X1)
& ? [X2] :
! [X3] :
? [X4] :
( ( ! [X5,X6] :
( ~ in(X5,X0)
| ? [X7] :
( X5 = X7
& element(X7,powerset(the_carrier(X1)))
& subset_complement(the_carrier(X1),X7) != X6 )
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(X0,X2))
| ~ in(X4,X3) )
& ( ( ? [X8,X9] :
( in(X8,X0)
& ! [X10] :
( X8 != X10
| ~ element(X10,powerset(the_carrier(X1)))
| subset_complement(the_carrier(X1),X10) = X9 )
& ordered_pair(X8,X9) = X4 )
& in(X4,cartesian_product2(X0,X2)) )
| in(X4,X3) ) )
& element(X0,powerset(powerset(the_carrier(X1)))) )
=> ( one_sorted_str(sK18)
& ? [X2] :
! [X3] :
? [X4] :
( ( ! [X6,X5] :
( ~ in(X5,sK17)
| ? [X7] :
( X5 = X7
& element(X7,powerset(the_carrier(sK18)))
& subset_complement(the_carrier(sK18),X7) != X6 )
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(sK17,X2))
| ~ in(X4,X3) )
& ( ( ? [X9,X8] :
( in(X8,sK17)
& ! [X10] :
( X8 != X10
| ~ element(X10,powerset(the_carrier(sK18)))
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = X4 )
& in(X4,cartesian_product2(sK17,X2)) )
| in(X4,X3) ) )
& element(sK17,powerset(powerset(the_carrier(sK18)))) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X2] :
! [X3] :
? [X4] :
( ( ! [X6,X5] :
( ~ in(X5,sK17)
| ? [X7] :
( X5 = X7
& element(X7,powerset(the_carrier(sK18)))
& subset_complement(the_carrier(sK18),X7) != X6 )
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(sK17,X2))
| ~ in(X4,X3) )
& ( ( ? [X9,X8] :
( in(X8,sK17)
& ! [X10] :
( X8 != X10
| ~ element(X10,powerset(the_carrier(sK18)))
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = X4 )
& in(X4,cartesian_product2(sK17,X2)) )
| in(X4,X3) ) )
=> ! [X3] :
? [X4] :
( ( ! [X6,X5] :
( ~ in(X5,sK17)
| ? [X7] :
( X5 = X7
& element(X7,powerset(the_carrier(sK18)))
& subset_complement(the_carrier(sK18),X7) != X6 )
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(sK17,sK19))
| ~ in(X4,X3) )
& ( ( ? [X9,X8] :
( in(X8,sK17)
& ! [X10] :
( X8 != X10
| ~ element(X10,powerset(the_carrier(sK18)))
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = X4 )
& in(X4,cartesian_product2(sK17,sK19)) )
| in(X4,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X3] :
( ? [X4] :
( ( ! [X6,X5] :
( ~ in(X5,sK17)
| ? [X7] :
( X5 = X7
& element(X7,powerset(the_carrier(sK18)))
& subset_complement(the_carrier(sK18),X7) != X6 )
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(sK17,sK19))
| ~ in(X4,X3) )
& ( ( ? [X9,X8] :
( in(X8,sK17)
& ! [X10] :
( X8 != X10
| ~ element(X10,powerset(the_carrier(sK18)))
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = X4 )
& in(X4,cartesian_product2(sK17,sK19)) )
| in(X4,X3) ) )
=> ( ( ! [X6,X5] :
( ~ in(X5,sK17)
| ? [X7] :
( X5 = X7
& element(X7,powerset(the_carrier(sK18)))
& subset_complement(the_carrier(sK18),X7) != X6 )
| ordered_pair(X5,X6) != sK20(X3) )
| ~ in(sK20(X3),cartesian_product2(sK17,sK19))
| ~ in(sK20(X3),X3) )
& ( ( ? [X9,X8] :
( in(X8,sK17)
& ! [X10] :
( X8 != X10
| ~ element(X10,powerset(the_carrier(sK18)))
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = sK20(X3) )
& in(sK20(X3),cartesian_product2(sK17,sK19)) )
| in(sK20(X3),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X5,X6] :
( ? [X7] :
( X5 = X7
& element(X7,powerset(the_carrier(sK18)))
& subset_complement(the_carrier(sK18),X7) != X6 )
=> ( sK21(X5,X6) = X5
& element(sK21(X5,X6),powerset(the_carrier(sK18)))
& subset_complement(the_carrier(sK18),sK21(X5,X6)) != X6 ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X3] :
( ? [X9,X8] :
( in(X8,sK17)
& ! [X10] :
( X8 != X10
| ~ element(X10,powerset(the_carrier(sK18)))
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = sK20(X3) )
=> ( in(sK22(X3),sK17)
& ! [X10] :
( sK22(X3) != X10
| ~ element(X10,powerset(the_carrier(sK18)))
| sK23(X3) = subset_complement(the_carrier(sK18),X10) )
& ordered_pair(sK22(X3),sK23(X3)) = sK20(X3) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0,X1] :
( one_sorted_str(X1)
& ? [X2] :
! [X3] :
? [X4] :
( ( ! [X5,X6] :
( ~ in(X5,X0)
| ? [X7] :
( X5 = X7
& element(X7,powerset(the_carrier(X1)))
& subset_complement(the_carrier(X1),X7) != X6 )
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(X0,X2))
| ~ in(X4,X3) )
& ( ( ? [X8,X9] :
( in(X8,X0)
& ! [X10] :
( X8 != X10
| ~ element(X10,powerset(the_carrier(X1)))
| subset_complement(the_carrier(X1),X10) = X9 )
& ordered_pair(X8,X9) = X4 )
& in(X4,cartesian_product2(X0,X2)) )
| in(X4,X3) ) )
& element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
? [X1,X0] :
( one_sorted_str(X0)
& ? [X2] :
! [X3] :
? [X4] :
( ( ! [X6,X5] :
( ~ in(X6,X1)
| ? [X7] :
( X6 = X7
& element(X7,powerset(the_carrier(X0)))
& subset_complement(the_carrier(X0),X7) != X5 )
| ordered_pair(X6,X5) != X4 )
| ~ in(X4,cartesian_product2(X1,X2))
| ~ in(X4,X3) )
& ( ( ? [X6,X5] :
( in(X6,X1)
& ! [X7] :
( X6 != X7
| ~ element(X7,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X7) = X5 )
& ordered_pair(X6,X5) = X4 )
& in(X4,cartesian_product2(X1,X2)) )
| in(X4,X3) ) )
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
? [X1,X0] :
( one_sorted_str(X0)
& ? [X2] :
! [X3] :
? [X4] :
( ( ! [X6,X5] :
( ~ in(X6,X1)
| ? [X7] :
( X6 = X7
& element(X7,powerset(the_carrier(X0)))
& subset_complement(the_carrier(X0),X7) != X5 )
| ordered_pair(X6,X5) != X4 )
| ~ in(X4,cartesian_product2(X1,X2))
| ~ in(X4,X3) )
& ( ( ? [X6,X5] :
( in(X6,X1)
& ! [X7] :
( X6 != X7
| ~ element(X7,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X7) = X5 )
& ordered_pair(X6,X5) = X4 )
& in(X4,cartesian_product2(X1,X2)) )
| in(X4,X3) ) )
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
? [X1,X0] :
( one_sorted_str(X0)
& ? [X2] :
! [X3] :
? [X4] :
( in(X4,X3)
<~> ( ? [X6,X5] :
( in(X6,X1)
& ! [X7] :
( X6 != X7
| ~ element(X7,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X7) = X5 )
& ordered_pair(X6,X5) = X4 )
& in(X4,cartesian_product2(X1,X2)) ) )
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
? [X1,X0] :
( ? [X2] :
! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(X4,cartesian_product2(X1,X2))
& ? [X5,X6] :
( ordered_pair(X6,X5) = X4
& ! [X7] :
( subset_complement(the_carrier(X0),X7) = X5
| X6 != X7
| ~ element(X7,powerset(the_carrier(X0))) )
& in(X6,X1) ) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X0] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) )
=> ! [X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(X1,X2))
& ? [X5,X6] :
( ordered_pair(X6,X5) = X4
& ! [X7] :
( element(X7,powerset(the_carrier(X0)))
=> ( X6 = X7
=> subset_complement(the_carrier(X0),X7) = X5 ) )
& in(X6,X1) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) )
=> ! [X2] :
? [X3] :
! [X4] :
( ( ? [X6,X5] :
( in(X5,X1)
& ordered_pair(X5,X6) = X4
& ! [X7] :
( element(X7,powerset(the_carrier(X0)))
=> ( X5 = X7
=> subset_complement(the_carrier(X0),X7) = X6 ) ) )
& in(X4,cartesian_product2(X1,X2)) )
<=> in(X4,X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) )
=> ! [X2] :
? [X3] :
! [X4] :
( ( ? [X6,X5] :
( in(X5,X1)
& ordered_pair(X5,X6) = X4
& ! [X7] :
( element(X7,powerset(the_carrier(X0)))
=> ( X5 = X7
=> subset_complement(the_carrier(X0),X7) = X6 ) ) )
& in(X4,cartesian_product2(X1,X2)) )
<=> in(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e4_7_2__tops_2__1) ).
fof(f507,plain,
( ~ in(sK22(sK5(sK19,sK17,sK18)),sK17)
| ~ spl24_1
| spl24_8
| ~ spl24_13 ),
inference(subsumption_resolution,[],[f506,f254]) ).
fof(f254,plain,
( sP1(sK19,sK17,sK18)
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl24_1
<=> sP1(sK19,sK17,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f506,plain,
( ~ sP1(sK19,sK17,sK18)
| ~ in(sK22(sK5(sK19,sK17,sK18)),sK17)
| spl24_8
| ~ spl24_13 ),
inference(subsumption_resolution,[],[f505,f318]) ).
fof(f505,plain,
( in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18))
| ~ sP1(sK19,sK17,sK18)
| ~ in(sK22(sK5(sK19,sK17,sK18)),sK17)
| ~ spl24_13 ),
inference(duplicate_literal_removal,[],[f504]) ).
fof(f504,plain,
( ~ in(sK22(sK5(sK19,sK17,sK18)),sK17)
| in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18))
| in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18))
| ~ sP1(sK19,sK17,sK18)
| ~ spl24_13 ),
inference(resolution,[],[f353,f169]) ).
fof(f169,plain,
! [X3] :
( in(sK20(X3),cartesian_product2(sK17,sK19))
| in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f110]) ).
fof(f353,plain,
( ! [X1,X4] :
( ~ in(sK20(sK5(sK19,sK17,sK18)),cartesian_product2(X1,X4))
| ~ in(sK22(sK5(sK19,sK17,sK18)),X1)
| ~ sP1(X4,X1,sK18)
| in(sK20(sK5(sK19,sK17,sK18)),sK5(X4,X1,sK18)) )
| ~ spl24_13 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl24_13
<=> ! [X4,X1] :
( in(sK20(sK5(sK19,sK17,sK18)),sK5(X4,X1,sK18))
| ~ in(sK20(sK5(sK19,sK17,sK18)),cartesian_product2(X1,X4))
| ~ sP1(X4,X1,sK18)
| ~ in(sK22(sK5(sK19,sK17,sK18)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).
fof(f490,plain,
( ~ spl24_1
| ~ spl24_8
| ~ spl24_15 ),
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f489,plain,
( $false
| ~ spl24_1
| ~ spl24_8
| ~ spl24_15 ),
inference(trivial_inequality_removal,[],[f486]) ).
fof(f486,plain,
( sK20(sK5(sK19,sK17,sK18)) != sK20(sK5(sK19,sK17,sK18))
| ~ spl24_1
| ~ spl24_8
| ~ spl24_15 ),
inference(superposition,[],[f482,f367]) ).
fof(f367,plain,
( ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),sK7(sK17,sK18,sK20(sK5(sK19,sK17,sK18)))) = sK20(sK5(sK19,sK17,sK18))
| ~ spl24_1
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f361,f254]) ).
fof(f361,plain,
( ~ sP1(sK19,sK17,sK18)
| ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),sK7(sK17,sK18,sK20(sK5(sK19,sK17,sK18)))) = sK20(sK5(sK19,sK17,sK18))
| ~ spl24_8 ),
inference(resolution,[],[f319,f150]) ).
fof(f150,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK5(X0,X1,X2))
| ordered_pair(sK8(X1,X2,X4),sK7(X1,X2,X4)) = X4
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( ( in(sK6(X0,X1,X2,X4),cartesian_product2(X1,X0))
& in(sK8(X1,X2,X4),X1)
& ordered_pair(sK8(X1,X2,X4),sK7(X1,X2,X4)) = X4
& ! [X8] :
( sK8(X1,X2,X4) != X8
| subset_complement(the_carrier(X2),X8) = sK7(X1,X2,X4)
| ~ element(X8,powerset(the_carrier(X2))) )
& sK6(X0,X1,X2,X4) = X4 )
| ~ in(X4,sK5(X0,X1,X2)) )
& ( in(X4,sK5(X0,X1,X2))
| ! [X9] :
( ~ in(X9,cartesian_product2(X1,X0))
| ! [X10,X11] :
( ~ in(X11,X1)
| ordered_pair(X11,X10) != X4
| ( sK9(X2,X10,X11) = X11
& subset_complement(the_carrier(X2),sK9(X2,X10,X11)) != X10
& element(sK9(X2,X10,X11),powerset(the_carrier(X2))) ) )
| X4 != X9 ) ) )
| ~ sP1(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9])],[f88,f92,f91,f90,f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( ? [X5] :
( in(X5,cartesian_product2(X1,X0))
& ? [X6,X7] :
( in(X7,X1)
& ordered_pair(X7,X6) = X4
& ! [X8] :
( X7 != X8
| subset_complement(the_carrier(X2),X8) = X6
| ~ element(X8,powerset(the_carrier(X2))) ) )
& X4 = X5 )
| ~ in(X4,X3) )
& ( in(X4,X3)
| ! [X9] :
( ~ in(X9,cartesian_product2(X1,X0))
| ! [X10,X11] :
( ~ in(X11,X1)
| ordered_pair(X11,X10) != X4
| ? [X12] :
( X11 = X12
& subset_complement(the_carrier(X2),X12) != X10
& element(X12,powerset(the_carrier(X2))) ) )
| X4 != X9 ) ) )
=> ! [X4] :
( ( ? [X5] :
( in(X5,cartesian_product2(X1,X0))
& ? [X6,X7] :
( in(X7,X1)
& ordered_pair(X7,X6) = X4
& ! [X8] :
( X7 != X8
| subset_complement(the_carrier(X2),X8) = X6
| ~ element(X8,powerset(the_carrier(X2))) ) )
& X4 = X5 )
| ~ in(X4,sK5(X0,X1,X2)) )
& ( in(X4,sK5(X0,X1,X2))
| ! [X9] :
( ~ in(X9,cartesian_product2(X1,X0))
| ! [X10,X11] :
( ~ in(X11,X1)
| ordered_pair(X11,X10) != X4
| ? [X12] :
( X11 = X12
& subset_complement(the_carrier(X2),X12) != X10
& element(X12,powerset(the_carrier(X2))) ) )
| X4 != X9 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1,X2,X4] :
( ? [X5] :
( in(X5,cartesian_product2(X1,X0))
& ? [X6,X7] :
( in(X7,X1)
& ordered_pair(X7,X6) = X4
& ! [X8] :
( X7 != X8
| subset_complement(the_carrier(X2),X8) = X6
| ~ element(X8,powerset(the_carrier(X2))) ) )
& X4 = X5 )
=> ( in(sK6(X0,X1,X2,X4),cartesian_product2(X1,X0))
& ? [X6,X7] :
( in(X7,X1)
& ordered_pair(X7,X6) = X4
& ! [X8] :
( X7 != X8
| subset_complement(the_carrier(X2),X8) = X6
| ~ element(X8,powerset(the_carrier(X2))) ) )
& sK6(X0,X1,X2,X4) = X4 ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X1,X2,X4] :
( ? [X6,X7] :
( in(X7,X1)
& ordered_pair(X7,X6) = X4
& ! [X8] :
( X7 != X8
| subset_complement(the_carrier(X2),X8) = X6
| ~ element(X8,powerset(the_carrier(X2))) ) )
=> ( in(sK8(X1,X2,X4),X1)
& ordered_pair(sK8(X1,X2,X4),sK7(X1,X2,X4)) = X4
& ! [X8] :
( sK8(X1,X2,X4) != X8
| subset_complement(the_carrier(X2),X8) = sK7(X1,X2,X4)
| ~ element(X8,powerset(the_carrier(X2))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X2,X10,X11] :
( ? [X12] :
( X11 = X12
& subset_complement(the_carrier(X2),X12) != X10
& element(X12,powerset(the_carrier(X2))) )
=> ( sK9(X2,X10,X11) = X11
& subset_complement(the_carrier(X2),sK9(X2,X10,X11)) != X10
& element(sK9(X2,X10,X11),powerset(the_carrier(X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( ? [X5] :
( in(X5,cartesian_product2(X1,X0))
& ? [X6,X7] :
( in(X7,X1)
& ordered_pair(X7,X6) = X4
& ! [X8] :
( X7 != X8
| subset_complement(the_carrier(X2),X8) = X6
| ~ element(X8,powerset(the_carrier(X2))) ) )
& X4 = X5 )
| ~ in(X4,X3) )
& ( in(X4,X3)
| ! [X9] :
( ~ in(X9,cartesian_product2(X1,X0))
| ! [X10,X11] :
( ~ in(X11,X1)
| ordered_pair(X11,X10) != X4
| ? [X12] :
( X11 = X12
& subset_complement(the_carrier(X2),X12) != X10
& element(X12,powerset(the_carrier(X2))) ) )
| X4 != X9 ) ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X2,X1,X0] :
( ? [X12] :
! [X13] :
( ( ? [X14] :
( in(X14,cartesian_product2(X1,X2))
& ? [X15,X16] :
( in(X16,X1)
& ordered_pair(X16,X15) = X13
& ! [X17] :
( X16 != X17
| subset_complement(the_carrier(X0),X17) = X15
| ~ element(X17,powerset(the_carrier(X0))) ) )
& X13 = X14 )
| ~ in(X13,X12) )
& ( in(X13,X12)
| ! [X14] :
( ~ in(X14,cartesian_product2(X1,X2))
| ! [X15,X16] :
( ~ in(X16,X1)
| ordered_pair(X16,X15) != X13
| ? [X17] :
( X16 = X17
& subset_complement(the_carrier(X0),X17) != X15
& element(X17,powerset(the_carrier(X0))) ) )
| X13 != X14 ) ) )
| ~ sP1(X2,X1,X0) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X2,X1,X0] :
( ? [X12] :
! [X13] :
( ? [X14] :
( in(X14,cartesian_product2(X1,X2))
& ? [X15,X16] :
( in(X16,X1)
& ordered_pair(X16,X15) = X13
& ! [X17] :
( X16 != X17
| subset_complement(the_carrier(X0),X17) = X15
| ~ element(X17,powerset(the_carrier(X0))) ) )
& X13 = X14 )
<=> in(X13,X12) )
| ~ sP1(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f319,plain,
( in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18))
| ~ spl24_8 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f482,plain,
( ! [X3] : ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),X3) != sK20(sK5(sK19,sK17,sK18))
| ~ spl24_1
| ~ spl24_8
| ~ spl24_15 ),
inference(subsumption_resolution,[],[f480,f319]) ).
fof(f480,plain,
( ! [X3] :
( ~ in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18))
| ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),X3) != sK20(sK5(sK19,sK17,sK18)) )
| ~ spl24_1
| ~ spl24_8
| ~ spl24_15 ),
inference(resolution,[],[f392,f369]) ).
fof(f369,plain,
( in(sK20(sK5(sK19,sK17,sK18)),cartesian_product2(sK17,sK19))
| ~ spl24_1
| ~ spl24_8 ),
inference(backward_demodulation,[],[f366,f368]) ).
fof(f368,plain,
( sK20(sK5(sK19,sK17,sK18)) = sK6(sK19,sK17,sK18,sK20(sK5(sK19,sK17,sK18)))
| ~ spl24_1
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f363,f254]) ).
fof(f363,plain,
( sK20(sK5(sK19,sK17,sK18)) = sK6(sK19,sK17,sK18,sK20(sK5(sK19,sK17,sK18)))
| ~ sP1(sK19,sK17,sK18)
| ~ spl24_8 ),
inference(resolution,[],[f319,f148]) ).
fof(f148,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK5(X0,X1,X2))
| sK6(X0,X1,X2,X4) = X4
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f366,plain,
( in(sK6(sK19,sK17,sK18,sK20(sK5(sK19,sK17,sK18))),cartesian_product2(sK17,sK19))
| ~ spl24_1
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f360,f254]) ).
fof(f360,plain,
( ~ sP1(sK19,sK17,sK18)
| in(sK6(sK19,sK17,sK18,sK20(sK5(sK19,sK17,sK18))),cartesian_product2(sK17,sK19))
| ~ spl24_8 ),
inference(resolution,[],[f319,f152]) ).
fof(f152,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK5(X0,X1,X2))
| in(sK6(X0,X1,X2,X4),cartesian_product2(X1,X0))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f392,plain,
( ! [X2,X3] :
( ~ in(sK20(X3),cartesian_product2(sK17,sK19))
| ~ in(sK20(X3),X3)
| ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),X2) != sK20(X3) )
| ~ spl24_15 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl24_15
<=> ! [X2,X3] :
( ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),X2) != sK20(X3)
| ~ in(sK20(X3),X3)
| ~ in(sK20(X3),cartesian_product2(sK17,sK19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_15])]) ).
fof(f470,plain,
( ~ spl24_1
| ~ spl24_8
| ~ spl24_16 ),
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| ~ spl24_1
| ~ spl24_8
| ~ spl24_16 ),
inference(subsumption_resolution,[],[f468,f367]) ).
fof(f468,plain,
( ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),sK7(sK17,sK18,sK20(sK5(sK19,sK17,sK18)))) != sK20(sK5(sK19,sK17,sK18))
| ~ spl24_1
| ~ spl24_8
| ~ spl24_16 ),
inference(equality_resolution,[],[f445]) ).
fof(f445,plain,
( ! [X3] :
( sK7(sK17,sK18,sK20(sK5(sK19,sK17,sK18))) != X3
| ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),X3) != sK20(sK5(sK19,sK17,sK18)) )
| ~ spl24_1
| ~ spl24_8
| ~ spl24_16 ),
inference(subsumption_resolution,[],[f444,f319]) ).
fof(f444,plain,
( ! [X3] :
( ~ in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18))
| ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),X3) != sK20(sK5(sK19,sK17,sK18))
| sK7(sK17,sK18,sK20(sK5(sK19,sK17,sK18))) != X3 )
| ~ spl24_1
| ~ spl24_8
| ~ spl24_16 ),
inference(resolution,[],[f413,f369]) ).
fof(f413,plain,
( ! [X0,X1] :
( ~ in(sK20(X0),cartesian_product2(sK17,sK19))
| ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),X1) != sK20(X0)
| ~ in(sK20(X0),X0)
| sK7(sK17,sK18,sK20(sK5(sK19,sK17,sK18))) != X1 )
| ~ spl24_1
| ~ spl24_8
| ~ spl24_16 ),
inference(backward_demodulation,[],[f383,f403]) ).
fof(f403,plain,
( subset_complement(the_carrier(sK18),sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18)))) = sK7(sK17,sK18,sK20(sK5(sK19,sK17,sK18)))
| ~ spl24_16 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f401,plain,
( spl24_16
<=> subset_complement(the_carrier(sK18),sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18)))) = sK7(sK17,sK18,sK20(sK5(sK19,sK17,sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).
fof(f383,plain,
( ! [X0,X1] :
( ~ in(sK20(X0),cartesian_product2(sK17,sK19))
| subset_complement(the_carrier(sK18),sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18)))) != X1
| ~ in(sK20(X0),X0)
| ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),X1) != sK20(X0) )
| ~ spl24_1
| ~ spl24_8 ),
inference(resolution,[],[f365,f188]) ).
fof(f188,plain,
! [X3,X6,X5] :
( ~ in(X5,sK17)
| ~ in(sK20(X3),cartesian_product2(sK17,sK19))
| ordered_pair(X5,X6) != sK20(X3)
| subset_complement(the_carrier(sK18),X5) != X6
| ~ in(sK20(X3),X3) ),
inference(forward_subsumption_demodulation,[],[f173,f175]) ).
fof(f175,plain,
! [X3,X6,X5] :
( sK21(X5,X6) = X5
| ~ in(sK20(X3),X3)
| ~ in(sK20(X3),cartesian_product2(sK17,sK19))
| ordered_pair(X5,X6) != sK20(X3)
| ~ in(X5,sK17) ),
inference(cnf_transformation,[],[f110]) ).
fof(f173,plain,
! [X3,X6,X5] :
( subset_complement(the_carrier(sK18),sK21(X5,X6)) != X6
| ~ in(X5,sK17)
| ~ in(sK20(X3),cartesian_product2(sK17,sK19))
| ordered_pair(X5,X6) != sK20(X3)
| ~ in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f110]) ).
fof(f365,plain,
( in(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),sK17)
| ~ spl24_1
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f362,f254]) ).
fof(f362,plain,
( in(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),sK17)
| ~ sP1(sK19,sK17,sK18)
| ~ spl24_8 ),
inference(resolution,[],[f319,f151]) ).
fof(f151,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK5(X0,X1,X2))
| ~ sP1(X0,X1,X2)
| in(sK8(X1,X2,X4),X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f411,plain,
( ~ spl24_1
| ~ spl24_8
| ~ spl24_17 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| ~ spl24_1
| ~ spl24_8
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f408,f254]) ).
fof(f408,plain,
( ~ sP1(sK19,sK17,sK18)
| ~ spl24_8
| ~ spl24_17 ),
inference(resolution,[],[f406,f319]) ).
fof(f406,plain,
( ! [X0] :
( ~ in(sK20(sK5(sK19,sK17,sK18)),sK5(X0,sK17,sK18))
| ~ sP1(X0,sK17,sK18) )
| ~ spl24_17 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f405,plain,
( spl24_17
<=> ! [X0] :
( ~ sP1(X0,sK17,sK18)
| ~ in(sK20(sK5(sK19,sK17,sK18)),sK5(X0,sK17,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).
fof(f407,plain,
( spl24_16
| spl24_17
| ~ spl24_14 ),
inference(avatar_split_clause,[],[f398,f387,f405,f401]) ).
fof(f387,plain,
( spl24_14
<=> element(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),powerset(the_carrier(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_14])]) ).
fof(f398,plain,
( ! [X0] :
( ~ sP1(X0,sK17,sK18)
| ~ in(sK20(sK5(sK19,sK17,sK18)),sK5(X0,sK17,sK18))
| subset_complement(the_carrier(sK18),sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18)))) = sK7(sK17,sK18,sK20(sK5(sK19,sK17,sK18))) )
| ~ spl24_14 ),
inference(resolution,[],[f389,f177]) ).
fof(f177,plain,
! [X2,X0,X1,X4] :
( ~ element(sK8(X1,X2,X4),powerset(the_carrier(X2)))
| subset_complement(the_carrier(X2),sK8(X1,X2,X4)) = sK7(X1,X2,X4)
| ~ sP1(X0,X1,X2)
| ~ in(X4,sK5(X0,X1,X2)) ),
inference(equality_resolution,[],[f149]) ).
fof(f149,plain,
! [X2,X0,X1,X8,X4] :
( sK8(X1,X2,X4) != X8
| subset_complement(the_carrier(X2),X8) = sK7(X1,X2,X4)
| ~ element(X8,powerset(the_carrier(X2)))
| ~ in(X4,sK5(X0,X1,X2))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f389,plain,
( element(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),powerset(the_carrier(sK18)))
| ~ spl24_14 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f393,plain,
( spl24_14
| spl24_15
| ~ spl24_1
| ~ spl24_8 ),
inference(avatar_split_clause,[],[f384,f317,f253,f391,f387]) ).
fof(f384,plain,
( ! [X2,X3] :
( ordered_pair(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),X2) != sK20(X3)
| ~ in(sK20(X3),cartesian_product2(sK17,sK19))
| element(sK8(sK17,sK18,sK20(sK5(sK19,sK17,sK18))),powerset(the_carrier(sK18)))
| ~ in(sK20(X3),X3) )
| ~ spl24_1
| ~ spl24_8 ),
inference(resolution,[],[f365,f187]) ).
fof(f187,plain,
! [X3,X6,X5] :
( ~ in(X5,sK17)
| ordered_pair(X5,X6) != sK20(X3)
| ~ in(sK20(X3),X3)
| element(X5,powerset(the_carrier(sK18)))
| ~ in(sK20(X3),cartesian_product2(sK17,sK19)) ),
inference(forward_subsumption_demodulation,[],[f174,f175]) ).
fof(f174,plain,
! [X3,X6,X5] :
( ~ in(sK20(X3),X3)
| ~ in(sK20(X3),cartesian_product2(sK17,sK19))
| element(sK21(X5,X6),powerset(the_carrier(sK18)))
| ordered_pair(X5,X6) != sK20(X3)
| ~ in(X5,sK17) ),
inference(cnf_transformation,[],[f110]) ).
fof(f354,plain,
( spl24_8
| spl24_13
| spl24_13
| ~ spl24_7 ),
inference(avatar_split_clause,[],[f332,f313,f352,f352,f317]) ).
fof(f313,plain,
( spl24_7
<=> sK23(sK5(sK19,sK17,sK18)) = subset_complement(the_carrier(sK18),sK22(sK5(sK19,sK17,sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).
fof(f332,plain,
( ! [X2,X3,X1,X4] :
( ~ in(sK22(sK5(sK19,sK17,sK18)),X2)
| in(sK20(sK5(sK19,sK17,sK18)),sK5(X3,X2,sK18))
| in(sK20(sK5(sK19,sK17,sK18)),sK5(X4,X1,sK18))
| ~ sP1(X3,X2,sK18)
| ~ in(sK20(sK5(sK19,sK17,sK18)),cartesian_product2(X2,X3))
| ~ in(sK22(sK5(sK19,sK17,sK18)),X1)
| ~ sP1(X4,X1,sK18)
| in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18))
| ~ in(sK20(sK5(sK19,sK17,sK18)),cartesian_product2(X1,X4)) )
| ~ spl24_7 ),
inference(trivial_inequality_removal,[],[f329]) ).
fof(f329,plain,
( ! [X2,X3,X1,X4] :
( ~ in(sK20(sK5(sK19,sK17,sK18)),cartesian_product2(X2,X3))
| sK23(sK5(sK19,sK17,sK18)) != sK23(sK5(sK19,sK17,sK18))
| ~ in(sK22(sK5(sK19,sK17,sK18)),X1)
| ~ sP1(X4,X1,sK18)
| in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18))
| ~ sP1(X3,X2,sK18)
| ~ in(sK20(sK5(sK19,sK17,sK18)),cartesian_product2(X1,X4))
| in(sK20(sK5(sK19,sK17,sK18)),sK5(X3,X2,sK18))
| in(sK20(sK5(sK19,sK17,sK18)),sK5(X4,X1,sK18))
| ~ in(sK22(sK5(sK19,sK17,sK18)),X2) )
| ~ spl24_7 ),
inference(superposition,[],[f224,f315]) ).
fof(f315,plain,
( sK23(sK5(sK19,sK17,sK18)) = subset_complement(the_carrier(sK18),sK22(sK5(sK19,sK17,sK18)))
| ~ spl24_7 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4,X5] :
( subset_complement(the_carrier(X0),sK22(X1)) != sK23(X1)
| ~ in(sK22(X1),X2)
| ~ in(sK22(X1),X4)
| in(sK20(X1),X1)
| in(sK20(X1),sK5(X5,X4,X0))
| ~ in(sK20(X1),cartesian_product2(X2,X3))
| ~ sP1(X5,X4,X0)
| ~ in(sK20(X1),cartesian_product2(X4,X5))
| ~ sP1(X3,X2,X0)
| in(sK20(X1),sK5(X3,X2,X0)) ),
inference(duplicate_literal_removal,[],[f222]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4,X5] :
( in(sK20(X1),sK5(X5,X4,X0))
| ~ in(sK20(X1),cartesian_product2(X4,X5))
| in(sK20(X1),X1)
| subset_complement(the_carrier(X0),sK22(X1)) != sK23(X1)
| in(sK20(X1),sK5(X3,X2,X0))
| ~ sP1(X5,X4,X0)
| ~ in(sK22(X1),X2)
| ~ in(sK22(X1),X4)
| ~ sP1(X3,X2,X0)
| ~ in(sK20(X1),cartesian_product2(X2,X3))
| in(sK20(X1),X1) ),
inference(superposition,[],[f200,f201]) ).
fof(f201,plain,
! [X6,X7,X4,X5] :
( sK9(X7,sK23(X4),sK22(X4)) = sK22(X4)
| ~ in(sK22(X4),X5)
| in(sK20(X4),X4)
| ~ sP1(X6,X5,X7)
| ~ in(sK20(X4),cartesian_product2(X5,X6))
| in(sK20(X4),sK5(X6,X5,X7)) ),
inference(superposition,[],[f179,f170]) ).
fof(f170,plain,
! [X3] :
( ordered_pair(sK22(X3),sK23(X3)) = sK20(X3)
| in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f110]) ).
fof(f179,plain,
! [X2,X10,X0,X11,X1] :
( ~ in(ordered_pair(X11,X10),cartesian_product2(X1,X0))
| sK9(X2,X10,X11) = X11
| ~ in(X11,X1)
| ~ sP1(X0,X1,X2)
| in(ordered_pair(X11,X10),sK5(X0,X1,X2)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,plain,
! [X2,X10,X0,X11,X1,X9] :
( in(ordered_pair(X11,X10),sK5(X0,X1,X2))
| ~ in(X9,cartesian_product2(X1,X0))
| ~ in(X11,X1)
| sK9(X2,X10,X11) = X11
| ordered_pair(X11,X10) != X9
| ~ sP1(X0,X1,X2) ),
inference(equality_resolution,[],[f147]) ).
fof(f147,plain,
! [X2,X10,X0,X11,X1,X9,X4] :
( in(X4,sK5(X0,X1,X2))
| ~ in(X9,cartesian_product2(X1,X0))
| ~ in(X11,X1)
| ordered_pair(X11,X10) != X4
| sK9(X2,X10,X11) = X11
| X4 != X9
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f200,plain,
! [X2,X3,X0,X1] :
( subset_complement(the_carrier(X3),sK9(X3,sK23(X0),sK22(X0))) != sK23(X0)
| ~ in(sK20(X0),cartesian_product2(X1,X2))
| ~ sP1(X2,X1,X3)
| ~ in(sK22(X0),X1)
| in(sK20(X0),sK5(X2,X1,X3))
| in(sK20(X0),X0) ),
inference(superposition,[],[f181,f170]) ).
fof(f181,plain,
! [X2,X10,X0,X11,X1] :
( ~ in(ordered_pair(X11,X10),cartesian_product2(X1,X0))
| in(ordered_pair(X11,X10),sK5(X0,X1,X2))
| ~ sP1(X0,X1,X2)
| subset_complement(the_carrier(X2),sK9(X2,X10,X11)) != X10
| ~ in(X11,X1) ),
inference(equality_resolution,[],[f180]) ).
fof(f180,plain,
! [X2,X10,X0,X11,X1,X9] :
( in(ordered_pair(X11,X10),sK5(X0,X1,X2))
| ~ in(X9,cartesian_product2(X1,X0))
| ~ in(X11,X1)
| subset_complement(the_carrier(X2),sK9(X2,X10,X11)) != X10
| ordered_pair(X11,X10) != X9
| ~ sP1(X0,X1,X2) ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X2,X10,X0,X11,X1,X9,X4] :
( in(X4,sK5(X0,X1,X2))
| ~ in(X9,cartesian_product2(X1,X0))
| ~ in(X11,X1)
| ordered_pair(X11,X10) != X4
| subset_complement(the_carrier(X2),sK9(X2,X10,X11)) != X10
| X4 != X9
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f320,plain,
( spl24_7
| spl24_8
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f311,f257,f317,f313]) ).
fof(f257,plain,
( spl24_2
<=> ! [X0] :
( in(sK20(X0),X0)
| subset_complement(the_carrier(sK18),sK22(X0)) = sK23(X0)
| in(sK20(X0),sK5(sK19,sK17,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f311,plain,
( in(sK20(sK5(sK19,sK17,sK18)),sK5(sK19,sK17,sK18))
| sK23(sK5(sK19,sK17,sK18)) = subset_complement(the_carrier(sK18),sK22(sK5(sK19,sK17,sK18)))
| ~ spl24_2 ),
inference(factoring,[],[f258]) ).
fof(f258,plain,
( ! [X0] :
( in(sK20(X0),sK5(sK19,sK17,sK18))
| in(sK20(X0),X0)
| subset_complement(the_carrier(sK18),sK22(X0)) = sK23(X0) )
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f293,plain,
spl24_1,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| spl24_1 ),
inference(resolution,[],[f291,f255]) ).
fof(f255,plain,
( ~ sP1(sK19,sK17,sK18)
| spl24_1 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f291,plain,
( ! [X0] : sP1(X0,sK17,sK18)
| spl24_1 ),
inference(subsumption_resolution,[],[f290,f168]) ).
fof(f168,plain,
element(sK17,powerset(powerset(the_carrier(sK18)))),
inference(cnf_transformation,[],[f110]) ).
fof(f290,plain,
( ! [X0] :
( ~ element(sK17,powerset(powerset(the_carrier(sK18))))
| sP1(X0,sK17,sK18) )
| spl24_1 ),
inference(subsumption_resolution,[],[f289,f176]) ).
fof(f176,plain,
one_sorted_str(sK18),
inference(cnf_transformation,[],[f110]) ).
fof(f289,plain,
( ! [X0] :
( sP1(X0,sK17,sK18)
| ~ one_sorted_str(sK18)
| ~ element(sK17,powerset(powerset(the_carrier(sK18)))) )
| spl24_1 ),
inference(trivial_inequality_removal,[],[f288]) ).
fof(f288,plain,
( ! [X0] :
( ~ element(sK17,powerset(powerset(the_carrier(sK18))))
| ~ one_sorted_str(sK18)
| sP1(X0,sK17,sK18)
| sK12(sK17,sK18) != sK12(sK17,sK18) )
| spl24_1 ),
inference(superposition,[],[f156,f271]) ).
fof(f271,plain,
( sK13(sK17,sK18) = sK12(sK17,sK18)
| spl24_1 ),
inference(subsumption_resolution,[],[f265,f168]) ).
fof(f265,plain,
( ~ element(sK17,powerset(powerset(the_carrier(sK18))))
| sK13(sK17,sK18) = sK12(sK17,sK18)
| spl24_1 ),
inference(resolution,[],[f255,f194]) ).
fof(f194,plain,
! [X4,X5] :
( sP1(X5,X4,sK18)
| sK13(X4,sK18) = sK12(X4,sK18)
| ~ element(X4,powerset(powerset(the_carrier(sK18)))) ),
inference(forward_subsumption_demodulation,[],[f191,f189]) ).
fof(f189,plain,
! [X0,X1] :
( sP1(X0,X1,sK18)
| sK14(X1,sK18) = sK12(X1,sK18)
| ~ element(X1,powerset(powerset(the_carrier(sK18)))) ),
inference(resolution,[],[f176,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X1)
| sP1(X2,X0,X1)
| sK12(X0,X1) = sK14(X0,X1)
| ~ element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X2] :
( sP1(X2,X0,X1)
| ( sK12(X0,X1) = ordered_pair(sK15(X0,X1),sK16(X0,X1))
& ! [X8] :
( sK16(X0,X1) = subset_complement(the_carrier(X1),X8)
| ~ element(X8,powerset(the_carrier(X1)))
| sK15(X0,X1) != X8 )
& in(sK15(X0,X1),X0)
& sP0(X0,X1,sK13(X0,X1))
& sK12(X0,X1) = sK14(X0,X1)
& sK14(X0,X1) = sK13(X0,X1)
& sK12(X0,X1) != sK13(X0,X1) ) )
| ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16])],[f98,f100,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X3,X4,X5] :
( ? [X6,X7] :
( ordered_pair(X6,X7) = X3
& ! [X8] :
( subset_complement(the_carrier(X1),X8) = X7
| ~ element(X8,powerset(the_carrier(X1)))
| X6 != X8 )
& in(X6,X0) )
& sP0(X0,X1,X4)
& X3 = X5
& X4 = X5
& X3 != X4 )
=> ( ? [X7,X6] :
( ordered_pair(X6,X7) = sK12(X0,X1)
& ! [X8] :
( subset_complement(the_carrier(X1),X8) = X7
| ~ element(X8,powerset(the_carrier(X1)))
| X6 != X8 )
& in(X6,X0) )
& sP0(X0,X1,sK13(X0,X1))
& sK12(X0,X1) = sK14(X0,X1)
& sK14(X0,X1) = sK13(X0,X1)
& sK12(X0,X1) != sK13(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0,X1] :
( ? [X7,X6] :
( ordered_pair(X6,X7) = sK12(X0,X1)
& ! [X8] :
( subset_complement(the_carrier(X1),X8) = X7
| ~ element(X8,powerset(the_carrier(X1)))
| X6 != X8 )
& in(X6,X0) )
=> ( sK12(X0,X1) = ordered_pair(sK15(X0,X1),sK16(X0,X1))
& ! [X8] :
( sK16(X0,X1) = subset_complement(the_carrier(X1),X8)
| ~ element(X8,powerset(the_carrier(X1)))
| sK15(X0,X1) != X8 )
& in(sK15(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( sP1(X2,X0,X1)
| ? [X3,X4,X5] :
( ? [X6,X7] :
( ordered_pair(X6,X7) = X3
& ! [X8] :
( subset_complement(the_carrier(X1),X8) = X7
| ~ element(X8,powerset(the_carrier(X1)))
| X6 != X8 )
& in(X6,X0) )
& sP0(X0,X1,X4)
& X3 = X5
& X4 = X5
& X3 != X4 ) )
| ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( ! [X2] :
( sP1(X2,X1,X0)
| ? [X5,X4,X3] :
( ? [X10,X9] :
( ordered_pair(X10,X9) = X5
& ! [X11] :
( subset_complement(the_carrier(X0),X11) = X9
| ~ element(X11,powerset(the_carrier(X0)))
| X10 != X11 )
& in(X10,X1) )
& sP0(X1,X0,X4)
& X3 = X5
& X3 = X4
& X4 != X5 ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(definition_folding,[],[f62,f76,f75]) ).
fof(f75,plain,
! [X1,X0,X4] :
( ? [X7,X6] :
( in(X7,X1)
& ! [X8] :
( ~ element(X8,powerset(the_carrier(X0)))
| X7 != X8
| subset_complement(the_carrier(X0),X8) = X6 )
& ordered_pair(X7,X6) = X4 )
| ~ sP0(X1,X0,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f62,plain,
! [X1,X0] :
( ! [X2] :
( ? [X12] :
! [X13] :
( ? [X14] :
( in(X14,cartesian_product2(X1,X2))
& ? [X15,X16] :
( in(X16,X1)
& ordered_pair(X16,X15) = X13
& ! [X17] :
( X16 != X17
| subset_complement(the_carrier(X0),X17) = X15
| ~ element(X17,powerset(the_carrier(X0))) ) )
& X13 = X14 )
<=> in(X13,X12) )
| ? [X5,X4,X3] :
( ? [X10,X9] :
( ordered_pair(X10,X9) = X5
& ! [X11] :
( subset_complement(the_carrier(X0),X11) = X9
| ~ element(X11,powerset(the_carrier(X0)))
| X10 != X11 )
& in(X10,X1) )
& ? [X7,X6] :
( in(X7,X1)
& ! [X8] :
( ~ element(X8,powerset(the_carrier(X0)))
| X7 != X8
| subset_complement(the_carrier(X0),X8) = X6 )
& ordered_pair(X7,X6) = X4 )
& X3 = X5
& X3 = X4
& X4 != X5 ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ! [X2] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( X13 = X14
& ? [X16,X15] :
( ordered_pair(X16,X15) = X13
& ! [X17] :
( subset_complement(the_carrier(X0),X17) = X15
| X16 != X17
| ~ element(X17,powerset(the_carrier(X0))) )
& in(X16,X1) )
& in(X14,cartesian_product2(X1,X2)) ) )
| ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X10,X9] :
( ! [X11] :
( subset_complement(the_carrier(X0),X11) = X9
| X10 != X11
| ~ element(X11,powerset(the_carrier(X0))) )
& ordered_pair(X10,X9) = X5
& in(X10,X1) )
& X3 = X5
& ? [X7,X6] :
( ! [X8] :
( subset_complement(the_carrier(X0),X8) = X6
| X7 != X8
| ~ element(X8,powerset(the_carrier(X0))) )
& in(X7,X1)
& ordered_pair(X7,X6) = X4 ) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) )
=> ! [X2] :
( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X10,X9] :
( ! [X11] :
( element(X11,powerset(the_carrier(X0)))
=> ( X10 = X11
=> subset_complement(the_carrier(X0),X11) = X9 ) )
& ordered_pair(X10,X9) = X5
& in(X10,X1) )
& X3 = X5
& ? [X7,X6] :
( ! [X8] :
( element(X8,powerset(the_carrier(X0)))
=> ( X7 = X8
=> subset_complement(the_carrier(X0),X8) = X6 ) )
& in(X7,X1)
& ordered_pair(X7,X6) = X4 ) )
=> X4 = X5 )
=> ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( X13 = X14
& ? [X16,X15] :
( ordered_pair(X16,X15) = X13
& ! [X17] :
( element(X17,powerset(the_carrier(X0)))
=> ( X16 = X17
=> subset_complement(the_carrier(X0),X17) = X15 ) )
& in(X16,X1) )
& in(X14,cartesian_product2(X1,X2)) ) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) )
=> ! [X2] :
( ! [X3,X5,X4] :
( ( X3 = X5
& ? [X10,X9] :
( ! [X11] :
( element(X11,powerset(the_carrier(X0)))
=> ( X9 = X11
=> subset_complement(the_carrier(X0),X11) = X10 ) )
& in(X9,X1)
& ordered_pair(X9,X10) = X5 )
& X3 = X4
& ? [X7,X6] :
( in(X6,X1)
& ordered_pair(X6,X7) = X4
& ! [X8] :
( element(X8,powerset(the_carrier(X0)))
=> ( X6 = X8
=> subset_complement(the_carrier(X0),X8) = X7 ) ) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( X4 = X5
& in(X5,cartesian_product2(X1,X2))
& ? [X13,X12] :
( ordered_pair(X12,X13) = X4
& in(X12,X1)
& ! [X14] :
( element(X14,powerset(the_carrier(X0)))
=> ( X12 = X14
=> subset_complement(the_carrier(X0),X14) = X13 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e4_7_2__tops_2__2) ).
fof(f191,plain,
! [X4,X5] :
( sP1(X5,X4,sK18)
| ~ element(X4,powerset(powerset(the_carrier(sK18))))
| sK14(X4,sK18) = sK13(X4,sK18) ),
inference(resolution,[],[f176,f157]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X1)
| ~ element(X0,powerset(powerset(the_carrier(X1))))
| sK14(X0,X1) = sK13(X0,X1)
| sP1(X2,X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f156,plain,
! [X2,X0,X1] :
( sK12(X0,X1) != sK13(X0,X1)
| ~ one_sorted_str(X1)
| sP1(X2,X0,X1)
| ~ element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(cnf_transformation,[],[f101]) ).
fof(f259,plain,
( ~ spl24_1
| spl24_2 ),
inference(avatar_split_clause,[],[f251,f257,f253]) ).
fof(f251,plain,
! [X0] :
( in(sK20(X0),X0)
| in(sK20(X0),sK5(sK19,sK17,sK18))
| subset_complement(the_carrier(sK18),sK22(X0)) = sK23(X0)
| ~ sP1(sK19,sK17,sK18) ),
inference(duplicate_literal_removal,[],[f249]) ).
fof(f249,plain,
! [X0] :
( in(sK20(X0),X0)
| in(sK20(X0),sK5(sK19,sK17,sK18))
| in(sK20(X0),X0)
| subset_complement(the_carrier(sK18),sK22(X0)) = sK23(X0)
| ~ sP1(sK19,sK17,sK18) ),
inference(resolution,[],[f245,f186]) ).
fof(f186,plain,
! [X3] :
( ~ element(sK22(X3),powerset(the_carrier(sK18)))
| sK23(X3) = subset_complement(the_carrier(sK18),sK22(X3))
| in(sK20(X3),X3) ),
inference(equality_resolution,[],[f171]) ).
fof(f171,plain,
! [X3,X10] :
( sK22(X3) != X10
| ~ element(X10,powerset(the_carrier(sK18)))
| sK23(X3) = subset_complement(the_carrier(sK18),X10)
| in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f110]) ).
fof(f245,plain,
! [X0,X1] :
( element(sK22(X1),powerset(the_carrier(X0)))
| in(sK20(X1),X1)
| ~ sP1(sK19,sK17,X0)
| in(sK20(X1),sK5(sK19,sK17,X0)) ),
inference(duplicate_literal_removal,[],[f243]) ).
fof(f243,plain,
! [X0,X1] :
( element(sK22(X1),powerset(the_carrier(X0)))
| ~ sP1(sK19,sK17,X0)
| in(sK20(X1),X1)
| ~ sP1(sK19,sK17,X0)
| in(sK20(X1),X1)
| in(sK20(X1),sK5(sK19,sK17,X0))
| in(sK20(X1),sK5(sK19,sK17,X0)) ),
inference(resolution,[],[f242,f169]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ in(sK20(X0),cartesian_product2(sK17,X2))
| ~ sP1(sK19,sK17,X1)
| in(sK20(X0),X0)
| in(sK20(X0),sK5(sK19,sK17,X1))
| in(sK20(X0),sK5(X2,sK17,X1))
| ~ sP1(X2,sK17,X1)
| element(sK22(X0),powerset(the_carrier(X1))) ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ in(sK20(X0),cartesian_product2(sK17,X2))
| ~ sP1(sK19,sK17,X1)
| element(sK22(X0),powerset(the_carrier(X1)))
| in(sK20(X0),X0)
| ~ sP1(X2,sK17,X1)
| in(sK20(X0),sK5(sK19,sK17,X1))
| in(sK20(X0),sK5(X2,sK17,X1))
| in(sK20(X0),X0) ),
inference(resolution,[],[f237,f172]) ).
fof(f237,plain,
! [X2,X3,X0,X1] :
( ~ in(sK22(X1),X2)
| in(sK20(X1),X1)
| element(sK22(X1),powerset(the_carrier(X0)))
| ~ in(sK20(X1),cartesian_product2(X2,X3))
| in(sK20(X1),sK5(sK19,sK17,X0))
| in(sK20(X1),sK5(X3,X2,X0))
| ~ sP1(X3,X2,X0)
| ~ sP1(sK19,sK17,X0) ),
inference(duplicate_literal_removal,[],[f236]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( ~ sP1(sK19,sK17,X0)
| in(sK20(X1),sK5(X3,X2,X0))
| in(sK20(X1),X1)
| ~ in(sK22(X1),X2)
| ~ sP1(X3,X2,X0)
| element(sK22(X1),powerset(the_carrier(X0)))
| ~ in(sK20(X1),cartesian_product2(X2,X3))
| in(sK20(X1),sK5(sK19,sK17,X0))
| in(sK20(X1),X1) ),
inference(superposition,[],[f227,f201]) ).
fof(f227,plain,
! [X0,X1] :
( element(sK9(X1,sK23(X0),sK22(X0)),powerset(the_carrier(X1)))
| ~ sP1(sK19,sK17,X1)
| in(sK20(X0),X0)
| in(sK20(X0),sK5(sK19,sK17,X1)) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( in(sK20(X0),X0)
| element(sK9(X1,sK23(X0),sK22(X0)),powerset(the_carrier(X1)))
| in(sK20(X0),X0)
| ~ sP1(sK19,sK17,X1)
| in(sK20(X0),sK5(sK19,sK17,X1)) ),
inference(resolution,[],[f217,f169]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ in(sK20(X1),cartesian_product2(sK17,X2))
| in(sK20(X1),X1)
| in(sK20(X1),sK5(X2,sK17,X0))
| element(sK9(X0,sK23(X1),sK22(X1)),powerset(the_carrier(X0)))
| ~ sP1(X2,sK17,X0) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ in(sK20(X1),cartesian_product2(sK17,X2))
| element(sK9(X0,sK23(X1),sK22(X1)),powerset(the_carrier(X0)))
| in(sK20(X1),sK5(X2,sK17,X0))
| in(sK20(X1),X1)
| in(sK20(X1),X1)
| ~ sP1(X2,sK17,X0) ),
inference(resolution,[],[f202,f172]) ).
fof(f202,plain,
! [X10,X11,X8,X9] :
( ~ in(sK22(X8),X9)
| element(sK9(X11,sK23(X8),sK22(X8)),powerset(the_carrier(X11)))
| in(sK20(X8),sK5(X10,X9,X11))
| ~ sP1(X10,X9,X11)
| in(sK20(X8),X8)
| ~ in(sK20(X8),cartesian_product2(X9,X10)) ),
inference(superposition,[],[f183,f170]) ).
fof(f183,plain,
! [X2,X10,X0,X11,X1] :
( ~ in(ordered_pair(X11,X10),cartesian_product2(X1,X0))
| ~ sP1(X0,X1,X2)
| ~ in(X11,X1)
| element(sK9(X2,X10,X11),powerset(the_carrier(X2)))
| in(ordered_pair(X11,X10),sK5(X0,X1,X2)) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X2,X10,X0,X11,X1,X9] :
( in(ordered_pair(X11,X10),sK5(X0,X1,X2))
| ~ in(X9,cartesian_product2(X1,X0))
| ~ in(X11,X1)
| element(sK9(X2,X10,X11),powerset(the_carrier(X2)))
| ordered_pair(X11,X10) != X9
| ~ sP1(X0,X1,X2) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X2,X10,X0,X11,X1,X9,X4] :
( in(X4,sK5(X0,X1,X2))
| ~ in(X9,cartesian_product2(X1,X0))
| ~ in(X11,X1)
| ordered_pair(X11,X10) != X4
| element(sK9(X2,X10,X11),powerset(the_carrier(X2)))
| X4 != X9
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU332+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 15:12:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (25255)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)
% 0.20/0.55 % (25271)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)
% 0.20/0.55 % (25263)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)
% 0.20/0.56 % (25263)Instruction limit reached!
% 0.20/0.56 % (25263)------------------------------
% 0.20/0.56 % (25263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (25273)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)
% 0.20/0.56 % (25272)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)
% 0.20/0.56 % (25263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (25263)Termination reason: Unknown
% 0.20/0.56 % (25263)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (25263)Memory used [KB]: 1535
% 0.20/0.56 % (25263)Time elapsed: 0.006 s
% 0.20/0.56 % (25263)Instructions burned: 3 (million)
% 0.20/0.56 % (25263)------------------------------
% 0.20/0.56 % (25263)------------------------------
% 0.20/0.56 % (25265)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)
% 0.20/0.56 % (25264)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)
% 0.20/0.57 % (25257)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)
% 0.20/0.57 % (25256)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)
% 0.20/0.59 % (25264)Instruction limit reached!
% 0.20/0.59 % (25264)------------------------------
% 0.20/0.59 % (25264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (25264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (25264)Termination reason: Unknown
% 0.20/0.60 % (25264)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (25264)Memory used [KB]: 6140
% 0.20/0.60 % (25264)Time elapsed: 0.162 s
% 0.20/0.60 % (25264)Instructions burned: 7 (million)
% 0.20/0.60 % (25264)------------------------------
% 0.20/0.60 % (25264)------------------------------
% 1.71/0.61 % (25251)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.71/0.61 % (25254)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.71/0.61 % (25251)Instruction limit reached!
% 1.71/0.61 % (25251)------------------------------
% 1.71/0.61 % (25251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (25251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61 % (25251)Termination reason: Unknown
% 1.71/0.61 % (25251)Termination phase: Property scanning
% 1.71/0.61
% 1.71/0.61 % (25251)Memory used [KB]: 1535
% 1.71/0.61 % (25251)Time elapsed: 0.004 s
% 1.71/0.61 % (25251)Instructions burned: 3 (million)
% 1.71/0.61 % (25251)------------------------------
% 1.71/0.61 % (25251)------------------------------
% 1.71/0.61 % (25267)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)
% 1.71/0.61 % (25275)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)
% 1.71/0.61 % (25270)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)
% 2.07/0.62 % (25259)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)
% 2.07/0.62 % (25268)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)
% 2.07/0.62 % (25255)Instruction limit reached!
% 2.07/0.62 % (25255)------------------------------
% 2.07/0.62 % (25255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.62 % (25255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.62 % (25255)Termination reason: Unknown
% 2.07/0.62 % (25255)Termination phase: Saturation
% 2.07/0.62
% 2.07/0.62 % (25255)Memory used [KB]: 6524
% 2.07/0.62 % (25255)Time elapsed: 0.194 s
% 2.07/0.62 % (25255)Instructions burned: 40 (million)
% 2.07/0.62 % (25255)------------------------------
% 2.07/0.62 % (25255)------------------------------
% 2.07/0.62 % (25278)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)
% 2.07/0.62 % (25274)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)
% 2.07/0.62 % (25276)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)
% 2.07/0.62 % (25259)Instruction limit reached!
% 2.07/0.62 % (25259)------------------------------
% 2.07/0.62 % (25259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63 % (25252)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)
% 2.07/0.63 % (25267)Instruction limit reached!
% 2.07/0.63 % (25267)------------------------------
% 2.07/0.63 % (25267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63 % (25267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (25267)Termination reason: Unknown
% 2.07/0.63 % (25267)Termination phase: Preprocessing 3
% 2.07/0.63
% 2.07/0.63 % (25267)Memory used [KB]: 1407
% 2.07/0.63 % (25267)Time elapsed: 0.004 s
% 2.07/0.63 % (25267)Instructions burned: 2 (million)
% 2.07/0.63 % (25267)------------------------------
% 2.07/0.63 % (25267)------------------------------
% 2.07/0.63 % (25262)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)
% 2.07/0.63 % (25266)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.07/0.63 % (25252)Refutation not found, incomplete strategy% (25252)------------------------------
% 2.07/0.63 % (25252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63 % (25252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (25252)Termination reason: Refutation not found, incomplete strategy
% 2.07/0.63
% 2.07/0.63 % (25252)Memory used [KB]: 6140
% 2.07/0.63 % (25252)Time elapsed: 0.200 s
% 2.07/0.63 % (25252)Instructions burned: 6 (million)
% 2.07/0.63 % (25252)------------------------------
% 2.07/0.63 % (25252)------------------------------
% 2.07/0.63 % (25266)Instruction limit reached!
% 2.07/0.63 % (25266)------------------------------
% 2.07/0.63 % (25266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63 % (25266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (25266)Termination reason: Unknown
% 2.07/0.63 % (25266)Termination phase: Property scanning
% 2.07/0.63
% 2.07/0.63 % (25266)Memory used [KB]: 1535
% 2.07/0.63 % (25266)Time elapsed: 0.005 s
% 2.07/0.63 % (25266)Instructions burned: 4 (million)
% 2.07/0.63 % (25266)------------------------------
% 2.07/0.63 % (25266)------------------------------
% 2.07/0.63 % (25260)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)
% 2.07/0.63 % (25258)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)
% 2.07/0.63 % (25259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (25259)Termination reason: Unknown
% 2.07/0.63 % (25259)Termination phase: Saturation
% 2.07/0.63
% 2.07/0.63 % (25259)Memory used [KB]: 6268
% 2.07/0.63 % (25259)Time elapsed: 0.198 s
% 2.07/0.63 % (25259)Instructions burned: 13 (million)
% 2.07/0.63 % (25259)------------------------------
% 2.07/0.63 % (25259)------------------------------
% 2.07/0.64 % (25254)Instruction limit reached!
% 2.07/0.64 % (25254)------------------------------
% 2.07/0.64 % (25254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (25254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (25254)Termination reason: Unknown
% 2.07/0.64 % (25254)Termination phase: Saturation
% 2.07/0.64
% 2.07/0.64 % (25254)Memory used [KB]: 1663
% 2.07/0.64 % (25254)Time elapsed: 0.218 s
% 2.07/0.64 % (25254)Instructions burned: 15 (million)
% 2.07/0.64 % (25254)------------------------------
% 2.07/0.64 % (25254)------------------------------
% 2.07/0.64 % (25268)Refutation not found, incomplete strategy% (25268)------------------------------
% 2.07/0.64 % (25268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (25268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (25268)Termination reason: Refutation not found, incomplete strategy
% 2.07/0.64
% 2.07/0.64 % (25268)Memory used [KB]: 6140
% 2.07/0.64 % (25268)Time elapsed: 0.213 s
% 2.07/0.64 % (25268)Instructions burned: 8 (million)
% 2.07/0.64 % (25268)------------------------------
% 2.07/0.64 % (25268)------------------------------
% 2.07/0.64 % (25270)Refutation not found, incomplete strategy% (25270)------------------------------
% 2.07/0.64 % (25270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (25270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (25270)Termination reason: Refutation not found, incomplete strategy
% 2.07/0.64
% 2.07/0.64 % (25270)Memory used [KB]: 6268
% 2.07/0.64 % (25270)Time elapsed: 0.223 s
% 2.07/0.64 % (25270)Instructions burned: 9 (million)
% 2.07/0.64 % (25270)------------------------------
% 2.07/0.64 % (25270)------------------------------
% 2.07/0.64 % (25250)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)
% 2.07/0.64 % (25256)Instruction limit reached!
% 2.07/0.64 % (25256)------------------------------
% 2.07/0.64 % (25256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (25256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (25256)Termination reason: Unknown
% 2.07/0.64 % (25256)Termination phase: Saturation
% 2.07/0.64
% 2.07/0.64 % (25256)Memory used [KB]: 6780
% 2.07/0.64 % (25256)Time elapsed: 0.211 s
% 2.07/0.64 % (25256)Instructions burned: 39 (million)
% 2.07/0.64 % (25256)------------------------------
% 2.07/0.64 % (25256)------------------------------
% 2.07/0.65 % (25260)Instruction limit reached!
% 2.07/0.65 % (25260)------------------------------
% 2.07/0.65 % (25260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (25260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (25260)Termination reason: Unknown
% 2.07/0.65 % (25260)Termination phase: Saturation
% 2.07/0.65
% 2.07/0.65 % (25260)Memory used [KB]: 6140
% 2.07/0.65 % (25260)Time elapsed: 0.214 s
% 2.07/0.65 % (25260)Instructions burned: 8 (million)
% 2.07/0.65 % (25260)------------------------------
% 2.07/0.65 % (25260)------------------------------
% 2.07/0.65 % (25272)Instruction limit reached!
% 2.07/0.65 % (25272)------------------------------
% 2.07/0.65 % (25272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (25272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (25272)Termination reason: Unknown
% 2.07/0.65 % (25272)Termination phase: Saturation
% 2.07/0.65
% 2.07/0.65 % (25272)Memory used [KB]: 1918
% 2.07/0.65 % (25272)Time elapsed: 0.208 s
% 2.07/0.65 % (25272)Instructions burned: 45 (million)
% 2.07/0.65 % (25272)------------------------------
% 2.07/0.65 % (25272)------------------------------
% 2.07/0.65 % (25258)Refutation not found, incomplete strategy% (25258)------------------------------
% 2.07/0.65 % (25258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (25258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (25258)Termination reason: Refutation not found, incomplete strategy
% 2.07/0.65
% 2.07/0.65 % (25258)Memory used [KB]: 6140
% 2.07/0.65 % (25258)Time elapsed: 0.167 s
% 2.07/0.65 % (25258)Instructions burned: 7 (million)
% 2.07/0.65 % (25258)------------------------------
% 2.07/0.65 % (25258)------------------------------
% 2.07/0.65 % (25257)Instruction limit reached!
% 2.07/0.65 % (25257)------------------------------
% 2.07/0.65 % (25257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (25257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (25257)Termination reason: Unknown
% 2.07/0.65 % (25257)Termination phase: Saturation
% 2.07/0.65
% 2.07/0.65 % (25257)Memory used [KB]: 6524
% 2.07/0.65 % (25257)Time elapsed: 0.225 s
% 2.07/0.65 % (25257)Instructions burned: 50 (million)
% 2.07/0.65 % (25257)------------------------------
% 2.07/0.65 % (25257)------------------------------
% 2.07/0.66 % (25275)First to succeed.
% 2.07/0.66 % (25275)Refutation found. Thanks to Tanya!
% 2.07/0.66 % SZS status Theorem for theBenchmark
% 2.07/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.66 % (25275)------------------------------
% 2.07/0.66 % (25275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.66 % (25275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.66 % (25275)Termination reason: Refutation
% 2.07/0.66
% 2.07/0.66 % (25275)Memory used [KB]: 6780
% 2.07/0.66 % (25275)Time elapsed: 0.235 s
% 2.07/0.66 % (25275)Instructions burned: 33 (million)
% 2.07/0.66 % (25275)------------------------------
% 2.07/0.66 % (25275)------------------------------
% 2.07/0.66 % (25248)Success in time 0.304 s
%------------------------------------------------------------------------------