TSTP Solution File: SEU329+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU329+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 : n020.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 18:28:48 EDT 2022
% Result : Theorem 1.59s 0.62s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 20
% Syntax : Number of formulae : 142 ( 4 unt; 0 def)
% Number of atoms : 1027 ( 328 equ)
% Maximal formula atoms : 32 ( 7 avg)
% Number of connectives : 1424 ( 539 ~; 591 |; 241 &)
% ( 13 <=>; 38 =>; 0 <=; 2 <~>)
% Maximal formula depth : 21 ( 10 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 3 con; 0-4 aty)
% Number of variables : 574 ( 411 !; 163 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f516,plain,
$false,
inference(avatar_sat_refutation,[],[f286,f326,f481,f509,f510,f515]) ).
fof(f515,plain,
( ~ spl24_4
| ~ spl24_5
| ~ spl24_19 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f514,plain,
( $false
| ~ spl24_4
| ~ spl24_5
| ~ spl24_19 ),
inference(subsumption_resolution,[],[f512,f281]) ).
fof(f281,plain,
( sP1(sK19,sK17,sK18)
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl24_4
<=> sP1(sK19,sK17,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).
fof(f512,plain,
( ~ sP1(sK19,sK17,sK18)
| ~ spl24_4
| ~ spl24_5
| ~ spl24_19 ),
inference(resolution,[],[f451,f336]) ).
fof(f336,plain,
( in(sK20(sK2(sK19,sK17,sK18)),sK2(sK19,sK17,sK18))
| ~ spl24_4
| ~ spl24_5 ),
inference(factoring,[],[f331]) ).
fof(f331,plain,
( ! [X0] :
( in(sK20(X0),sK2(sK19,sK17,sK18))
| in(sK20(X0),X0) )
| ~ spl24_4
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f330,f281]) ).
fof(f330,plain,
( ! [X0] :
( ~ sP1(sK19,sK17,sK18)
| in(sK20(X0),X0)
| in(sK20(X0),sK2(sK19,sK17,sK18)) )
| ~ spl24_5 ),
inference(duplicate_literal_removal,[],[f327]) ).
fof(f327,plain,
( ! [X0] :
( in(sK20(X0),X0)
| ~ sP1(sK19,sK17,sK18)
| in(sK20(X0),sK2(sK19,sK17,sK18))
| in(sK20(X0),X0)
| in(sK20(X0),sK2(sK19,sK17,sK18)) )
| ~ spl24_5 ),
inference(resolution,[],[f285,f175]) ).
fof(f175,plain,
! [X3] :
( in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ! [X3] :
( ( ~ in(sK20(X3),X3)
| ! [X5,X6] :
( ( element(sK21(X5,X6),powerset(the_carrier(sK18)))
& sK21(X5,X6) = X5
& subset_complement(the_carrier(sK18),sK21(X5,X6)) != X6 )
| ordered_pair(X5,X6) != sK20(X3)
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17)) )
| ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19)) )
& ( in(sK20(X3),X3)
| ( ! [X10] :
( ~ element(X10,powerset(the_carrier(sK18)))
| sK22(X3) != X10
| sK23(X3) = subset_complement(the_carrier(sK18),X10) )
& ordered_pair(sK22(X3),sK23(X3)) = sK20(X3)
& in(sK22(X3),complements_of_subsets(the_carrier(sK18),sK17))
& in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19)) ) ) )
& one_sorted_str(sK18)
& element(sK17,powerset(powerset(the_carrier(sK18)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21,sK22,sK23])],[f109,f114,f113,f112,f111,f110]) ).
fof(f110,plain,
( ? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X5,X6] :
( ? [X7] :
( element(X7,powerset(the_carrier(X1)))
& X5 = X7
& subset_complement(the_carrier(X1),X7) != X6 )
| ordered_pair(X5,X6) != X4
| ~ in(X5,complements_of_subsets(the_carrier(X1),X0)) )
| ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) )
& ( in(X4,X3)
| ( ? [X8,X9] :
( ! [X10] :
( ~ element(X10,powerset(the_carrier(X1)))
| X8 != X10
| subset_complement(the_carrier(X1),X10) = X9 )
& ordered_pair(X8,X9) = X4
& in(X8,complements_of_subsets(the_carrier(X1),X0)) )
& in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) ) ) )
& one_sorted_str(X1)
& element(X0,powerset(powerset(the_carrier(X1)))) )
=> ( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X6,X5] :
( ? [X7] :
( element(X7,powerset(the_carrier(sK18)))
& X5 = X7
& subset_complement(the_carrier(sK18),X7) != X6 )
| ordered_pair(X5,X6) != X4
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17)) )
| ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X2)) )
& ( in(X4,X3)
| ( ? [X9,X8] :
( ! [X10] :
( ~ element(X10,powerset(the_carrier(sK18)))
| X8 != X10
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = X4
& in(X8,complements_of_subsets(the_carrier(sK18),sK17)) )
& in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X2)) ) ) )
& one_sorted_str(sK18)
& element(sK17,powerset(powerset(the_carrier(sK18)))) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X6,X5] :
( ? [X7] :
( element(X7,powerset(the_carrier(sK18)))
& X5 = X7
& subset_complement(the_carrier(sK18),X7) != X6 )
| ordered_pair(X5,X6) != X4
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17)) )
| ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X2)) )
& ( in(X4,X3)
| ( ? [X9,X8] :
( ! [X10] :
( ~ element(X10,powerset(the_carrier(sK18)))
| X8 != X10
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = X4
& in(X8,complements_of_subsets(the_carrier(sK18),sK17)) )
& in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X2)) ) ) )
=> ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X6,X5] :
( ? [X7] :
( element(X7,powerset(the_carrier(sK18)))
& X5 = X7
& subset_complement(the_carrier(sK18),X7) != X6 )
| ordered_pair(X5,X6) != X4
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17)) )
| ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19)) )
& ( in(X4,X3)
| ( ? [X9,X8] :
( ! [X10] :
( ~ element(X10,powerset(the_carrier(sK18)))
| X8 != X10
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = X4
& in(X8,complements_of_subsets(the_carrier(sK18),sK17)) )
& in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X3] :
( ? [X4] :
( ( ~ in(X4,X3)
| ! [X6,X5] :
( ? [X7] :
( element(X7,powerset(the_carrier(sK18)))
& X5 = X7
& subset_complement(the_carrier(sK18),X7) != X6 )
| ordered_pair(X5,X6) != X4
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17)) )
| ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19)) )
& ( in(X4,X3)
| ( ? [X9,X8] :
( ! [X10] :
( ~ element(X10,powerset(the_carrier(sK18)))
| X8 != X10
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = X4
& in(X8,complements_of_subsets(the_carrier(sK18),sK17)) )
& in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19)) ) ) )
=> ( ( ~ in(sK20(X3),X3)
| ! [X6,X5] :
( ? [X7] :
( element(X7,powerset(the_carrier(sK18)))
& X5 = X7
& subset_complement(the_carrier(sK18),X7) != X6 )
| ordered_pair(X5,X6) != sK20(X3)
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17)) )
| ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19)) )
& ( in(sK20(X3),X3)
| ( ? [X9,X8] :
( ! [X10] :
( ~ element(X10,powerset(the_carrier(sK18)))
| X8 != X10
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = sK20(X3)
& in(X8,complements_of_subsets(the_carrier(sK18),sK17)) )
& in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X5,X6] :
( ? [X7] :
( element(X7,powerset(the_carrier(sK18)))
& X5 = X7
& subset_complement(the_carrier(sK18),X7) != X6 )
=> ( element(sK21(X5,X6),powerset(the_carrier(sK18)))
& sK21(X5,X6) = X5
& subset_complement(the_carrier(sK18),sK21(X5,X6)) != X6 ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X3] :
( ? [X9,X8] :
( ! [X10] :
( ~ element(X10,powerset(the_carrier(sK18)))
| X8 != X10
| subset_complement(the_carrier(sK18),X10) = X9 )
& ordered_pair(X8,X9) = sK20(X3)
& in(X8,complements_of_subsets(the_carrier(sK18),sK17)) )
=> ( ! [X10] :
( ~ element(X10,powerset(the_carrier(sK18)))
| sK22(X3) != X10
| sK23(X3) = subset_complement(the_carrier(sK18),X10) )
& ordered_pair(sK22(X3),sK23(X3)) = sK20(X3)
& in(sK22(X3),complements_of_subsets(the_carrier(sK18),sK17)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X5,X6] :
( ? [X7] :
( element(X7,powerset(the_carrier(X1)))
& X5 = X7
& subset_complement(the_carrier(X1),X7) != X6 )
| ordered_pair(X5,X6) != X4
| ~ in(X5,complements_of_subsets(the_carrier(X1),X0)) )
| ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) )
& ( in(X4,X3)
| ( ? [X8,X9] :
( ! [X10] :
( ~ element(X10,powerset(the_carrier(X1)))
| X8 != X10
| subset_complement(the_carrier(X1),X10) = X9 )
& ordered_pair(X8,X9) = X4
& in(X8,complements_of_subsets(the_carrier(X1),X0)) )
& in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) ) ) )
& one_sorted_str(X1)
& element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X6,X5] :
( ? [X7] :
( element(X7,powerset(the_carrier(X1)))
& X6 = X7
& subset_complement(the_carrier(X1),X7) != X5 )
| ordered_pair(X6,X5) != X4
| ~ in(X6,complements_of_subsets(the_carrier(X1),X0)) )
| ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) )
& ( in(X4,X3)
| ( ? [X6,X5] :
( ! [X7] :
( ~ element(X7,powerset(the_carrier(X1)))
| X6 != X7
| subset_complement(the_carrier(X1),X7) = X5 )
& ordered_pair(X6,X5) = X4
& in(X6,complements_of_subsets(the_carrier(X1),X0)) )
& in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) ) ) )
& one_sorted_str(X1)
& element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ! [X6,X5] :
( ? [X7] :
( element(X7,powerset(the_carrier(X1)))
& X6 = X7
& subset_complement(the_carrier(X1),X7) != X5 )
| ordered_pair(X6,X5) != X4
| ~ in(X6,complements_of_subsets(the_carrier(X1),X0)) )
| ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) )
& ( in(X4,X3)
| ( ? [X6,X5] :
( ! [X7] :
( ~ element(X7,powerset(the_carrier(X1)))
| X6 != X7
| subset_complement(the_carrier(X1),X7) = X5 )
& ordered_pair(X6,X5) = X4
& in(X6,complements_of_subsets(the_carrier(X1),X0)) )
& in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) ) ) )
& one_sorted_str(X1)
& element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ? [X6,X5] :
( ! [X7] :
( ~ element(X7,powerset(the_carrier(X1)))
| X6 != X7
| subset_complement(the_carrier(X1),X7) = X5 )
& ordered_pair(X6,X5) = X4
& in(X6,complements_of_subsets(the_carrier(X1),X0)) )
& in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) )
<~> in(X4,X3) )
& one_sorted_str(X1)
& element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( in(X4,X3)
<~> ( ? [X5,X6] :
( ordered_pair(X6,X5) = X4
& in(X6,complements_of_subsets(the_carrier(X1),X0))
& ! [X7] :
( subset_complement(the_carrier(X1),X7) = X5
| X6 != X7
| ~ element(X7,powerset(the_carrier(X1))) ) )
& in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) ) )
& one_sorted_str(X1)
& element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
~ ! [X0,X1] :
( ( one_sorted_str(X1)
& element(X0,powerset(powerset(the_carrier(X1)))) )
=> ! [X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( ? [X5,X6] :
( ordered_pair(X6,X5) = X4
& in(X6,complements_of_subsets(the_carrier(X1),X0))
& ! [X7] :
( element(X7,powerset(the_carrier(X1)))
=> ( X6 = X7
=> subset_complement(the_carrier(X1),X7) = X5 ) ) )
& in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
( ( one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ! [X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X6,X5] :
( in(X5,complements_of_subsets(the_carrier(X0),X1))
& ! [X7] :
( element(X7,powerset(the_carrier(X0)))
=> ( X5 = X7
=> subset_complement(the_carrier(X0),X7) = X6 ) )
& ordered_pair(X5,X6) = X4 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
( ( one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ! [X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X6,X5] :
( in(X5,complements_of_subsets(the_carrier(X0),X1))
& ! [X7] :
( element(X7,powerset(the_carrier(X0)))
=> ( X5 = X7
=> subset_complement(the_carrier(X0),X7) = X6 ) )
& ordered_pair(X5,X6) = X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e4_7_1__tops_2__1) ).
fof(f285,plain,
( ! [X0,X1] :
( ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X1))
| in(sK20(X0),X0)
| ~ sP1(X1,sK17,sK18)
| in(sK20(X0),sK2(X1,sK17,sK18))
| in(sK20(X0),sK2(sK19,sK17,sK18)) )
| ~ spl24_5 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl24_5
<=> ! [X0,X1] :
( in(sK20(X0),sK2(X1,sK17,sK18))
| in(sK20(X0),sK2(sK19,sK17,sK18))
| in(sK20(X0),X0)
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X1))
| ~ sP1(X1,sK17,sK18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f451,plain,
( ! [X0] :
( ~ in(sK20(sK2(sK19,sK17,sK18)),sK2(X0,sK17,sK18))
| ~ sP1(X0,sK17,sK18) )
| ~ spl24_19 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl24_19
<=> ! [X0] :
( ~ sP1(X0,sK17,sK18)
| ~ in(sK20(sK2(sK19,sK17,sK18)),sK2(X0,sK17,sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).
fof(f510,plain,
( ~ spl24_12
| ~ spl24_4
| ~ spl24_5 ),
inference(avatar_split_clause,[],[f504,f284,f280,f388]) ).
fof(f388,plain,
( spl24_12
<=> sK6(sK17,sK18,sK20(sK2(sK19,sK17,sK18))) = subset_complement(the_carrier(sK18),sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_12])]) ).
fof(f504,plain,
( sK6(sK17,sK18,sK20(sK2(sK19,sK17,sK18))) != subset_complement(the_carrier(sK18),sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))))
| ~ spl24_4
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f502,f348]) ).
fof(f348,plain,
( in(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),complements_of_subsets(the_carrier(sK18),sK17))
| ~ spl24_4
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f343,f281]) ).
fof(f343,plain,
( in(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),complements_of_subsets(the_carrier(sK18),sK17))
| ~ sP1(sK19,sK17,sK18)
| ~ spl24_4
| ~ spl24_5 ),
inference(resolution,[],[f336,f125]) ).
fof(f125,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK2(X0,X1,X2))
| ~ sP1(X0,X1,X2)
| in(sK5(X1,X2,X4),complements_of_subsets(the_carrier(X2),X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( in(X4,sK2(X0,X1,X2))
| ! [X5] :
( ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| X4 != X5
| ! [X6,X7] :
( ( element(sK3(X2,X6,X7),powerset(the_carrier(X2)))
& subset_complement(the_carrier(X2),sK3(X2,X6,X7)) != X7
& sK3(X2,X6,X7) = X6 )
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X4 ) ) )
& ( ( in(sK4(X0,X1,X2,X4),cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
& sK4(X0,X1,X2,X4) = X4
& ! [X12] :
( ~ element(X12,powerset(the_carrier(X2)))
| sK6(X1,X2,X4) = subset_complement(the_carrier(X2),X12)
| sK5(X1,X2,X4) != X12 )
& in(sK5(X1,X2,X4),complements_of_subsets(the_carrier(X2),X1))
& ordered_pair(sK5(X1,X2,X4),sK6(X1,X2,X4)) = X4 )
| ~ in(X4,sK2(X0,X1,X2)) ) )
| ~ sP1(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f85,f89,f88,f87,f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| X4 != X5
| ! [X6,X7] :
( ? [X8] :
( element(X8,powerset(the_carrier(X2)))
& subset_complement(the_carrier(X2),X8) != X7
& X6 = X8 )
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X4 ) ) )
& ( ? [X9] :
( in(X9,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
& X4 = X9
& ? [X10,X11] :
( ! [X12] :
( ~ element(X12,powerset(the_carrier(X2)))
| subset_complement(the_carrier(X2),X12) = X11
| X10 != X12 )
& in(X10,complements_of_subsets(the_carrier(X2),X1))
& ordered_pair(X10,X11) = X4 ) )
| ~ in(X4,X3) ) )
=> ! [X4] :
( ( in(X4,sK2(X0,X1,X2))
| ! [X5] :
( ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| X4 != X5
| ! [X6,X7] :
( ? [X8] :
( element(X8,powerset(the_carrier(X2)))
& subset_complement(the_carrier(X2),X8) != X7
& X6 = X8 )
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X4 ) ) )
& ( ? [X9] :
( in(X9,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
& X4 = X9
& ? [X10,X11] :
( ! [X12] :
( ~ element(X12,powerset(the_carrier(X2)))
| subset_complement(the_carrier(X2),X12) = X11
| X10 != X12 )
& in(X10,complements_of_subsets(the_carrier(X2),X1))
& ordered_pair(X10,X11) = X4 ) )
| ~ in(X4,sK2(X0,X1,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X2,X6,X7] :
( ? [X8] :
( element(X8,powerset(the_carrier(X2)))
& subset_complement(the_carrier(X2),X8) != X7
& X6 = X8 )
=> ( element(sK3(X2,X6,X7),powerset(the_carrier(X2)))
& subset_complement(the_carrier(X2),sK3(X2,X6,X7)) != X7
& sK3(X2,X6,X7) = X6 ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1,X2,X4] :
( ? [X9] :
( in(X9,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
& X4 = X9
& ? [X10,X11] :
( ! [X12] :
( ~ element(X12,powerset(the_carrier(X2)))
| subset_complement(the_carrier(X2),X12) = X11
| X10 != X12 )
& in(X10,complements_of_subsets(the_carrier(X2),X1))
& ordered_pair(X10,X11) = X4 ) )
=> ( in(sK4(X0,X1,X2,X4),cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
& sK4(X0,X1,X2,X4) = X4
& ? [X10,X11] :
( ! [X12] :
( ~ element(X12,powerset(the_carrier(X2)))
| subset_complement(the_carrier(X2),X12) = X11
| X10 != X12 )
& in(X10,complements_of_subsets(the_carrier(X2),X1))
& ordered_pair(X10,X11) = X4 ) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X1,X2,X4] :
( ? [X10,X11] :
( ! [X12] :
( ~ element(X12,powerset(the_carrier(X2)))
| subset_complement(the_carrier(X2),X12) = X11
| X10 != X12 )
& in(X10,complements_of_subsets(the_carrier(X2),X1))
& ordered_pair(X10,X11) = X4 )
=> ( ! [X12] :
( ~ element(X12,powerset(the_carrier(X2)))
| sK6(X1,X2,X4) = subset_complement(the_carrier(X2),X12)
| sK5(X1,X2,X4) != X12 )
& in(sK5(X1,X2,X4),complements_of_subsets(the_carrier(X2),X1))
& ordered_pair(sK5(X1,X2,X4),sK6(X1,X2,X4)) = X4 ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| X4 != X5
| ! [X6,X7] :
( ? [X8] :
( element(X8,powerset(the_carrier(X2)))
& subset_complement(the_carrier(X2),X8) != X7
& X6 = X8 )
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X4 ) ) )
& ( ? [X9] :
( in(X9,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
& X4 = X9
& ? [X10,X11] :
( ! [X12] :
( ~ element(X12,powerset(the_carrier(X2)))
| subset_complement(the_carrier(X2),X12) = X11
| X10 != X12 )
& in(X10,complements_of_subsets(the_carrier(X2),X1))
& ordered_pair(X10,X11) = X4 ) )
| ~ in(X4,X3) ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X2,X1,X0] :
( ? [X12] :
! [X13] :
( ( in(X13,X12)
| ! [X14] :
( ~ in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| X13 != X14
| ! [X16,X15] :
( ? [X17] :
( element(X17,powerset(the_carrier(X0)))
& subset_complement(the_carrier(X0),X17) != X15
& X16 = X17 )
| ~ in(X16,complements_of_subsets(the_carrier(X0),X1))
| ordered_pair(X16,X15) != X13 ) ) )
& ( ? [X14] :
( in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X13 = X14
& ? [X16,X15] :
( ! [X17] :
( ~ element(X17,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X17) = X15
| X16 != X17 )
& in(X16,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X16,X15) = X13 ) )
| ~ in(X13,X12) ) )
| ~ sP1(X2,X1,X0) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X2,X1,X0] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X13 = X14
& ? [X16,X15] :
( ! [X17] :
( ~ element(X17,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X17) = X15
| X16 != X17 )
& in(X16,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X16,X15) = X13 ) ) )
| ~ sP1(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f502,plain,
( ~ in(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),complements_of_subsets(the_carrier(sK18),sK17))
| sK6(sK17,sK18,sK20(sK2(sK19,sK17,sK18))) != subset_complement(the_carrier(sK18),sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))))
| ~ spl24_4
| ~ spl24_5 ),
inference(trivial_inequality_removal,[],[f500]) ).
fof(f500,plain,
( ~ in(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),complements_of_subsets(the_carrier(sK18),sK17))
| sK6(sK17,sK18,sK20(sK2(sK19,sK17,sK18))) != subset_complement(the_carrier(sK18),sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))))
| sK20(sK2(sK19,sK17,sK18)) != sK20(sK2(sK19,sK17,sK18))
| ~ spl24_4
| ~ spl24_5 ),
inference(superposition,[],[f476,f347]) ).
fof(f347,plain,
( ordered_pair(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),sK6(sK17,sK18,sK20(sK2(sK19,sK17,sK18)))) = sK20(sK2(sK19,sK17,sK18))
| ~ spl24_4
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f344,f281]) ).
fof(f344,plain,
( ordered_pair(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),sK6(sK17,sK18,sK20(sK2(sK19,sK17,sK18)))) = sK20(sK2(sK19,sK17,sK18))
| ~ sP1(sK19,sK17,sK18)
| ~ spl24_4
| ~ spl24_5 ),
inference(resolution,[],[f336,f124]) ).
fof(f124,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK2(X0,X1,X2))
| ordered_pair(sK5(X1,X2,X4),sK6(X1,X2,X4)) = X4
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f476,plain,
( ! [X6,X5] :
( ordered_pair(X5,X6) != sK20(sK2(sK19,sK17,sK18))
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17))
| subset_complement(the_carrier(sK18),X5) != X6 )
| ~ spl24_4
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f475,f336]) ).
fof(f475,plain,
( ! [X6,X5] :
( ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17))
| ordered_pair(X5,X6) != sK20(sK2(sK19,sK17,sK18))
| subset_complement(the_carrier(sK18),X5) != X6
| ~ in(sK20(sK2(sK19,sK17,sK18)),sK2(sK19,sK17,sK18)) )
| ~ spl24_4
| ~ spl24_5 ),
inference(duplicate_literal_removal,[],[f474]) ).
fof(f474,plain,
( ! [X6,X5] :
( ordered_pair(X5,X6) != sK20(sK2(sK19,sK17,sK18))
| ~ in(sK20(sK2(sK19,sK17,sK18)),sK2(sK19,sK17,sK18))
| subset_complement(the_carrier(sK18),X5) != X6
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17))
| ordered_pair(X5,X6) != sK20(sK2(sK19,sK17,sK18)) )
| ~ spl24_4
| ~ spl24_5 ),
inference(resolution,[],[f370,f360]) ).
fof(f360,plain,
( in(sK20(sK2(sK19,sK17,sK18)),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ~ spl24_4
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f359,f281]) ).
fof(f359,plain,
( in(sK20(sK2(sK19,sK17,sK18)),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ~ sP1(sK19,sK17,sK18)
| ~ spl24_4
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f358,f336]) ).
fof(f358,plain,
( ~ in(sK20(sK2(sK19,sK17,sK18)),sK2(sK19,sK17,sK18))
| in(sK20(sK2(sK19,sK17,sK18)),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ~ sP1(sK19,sK17,sK18)
| ~ spl24_4
| ~ spl24_5 ),
inference(superposition,[],[f128,f349]) ).
fof(f349,plain,
( sK4(sK19,sK17,sK18,sK20(sK2(sK19,sK17,sK18))) = sK20(sK2(sK19,sK17,sK18))
| ~ spl24_4
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f345,f281]) ).
fof(f345,plain,
( ~ sP1(sK19,sK17,sK18)
| sK4(sK19,sK17,sK18,sK20(sK2(sK19,sK17,sK18))) = sK20(sK2(sK19,sK17,sK18))
| ~ spl24_4
| ~ spl24_5 ),
inference(resolution,[],[f336,f127]) ).
fof(f127,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK2(X0,X1,X2))
| sK4(X0,X1,X2,X4) = X4
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,plain,
! [X2,X0,X1,X4] :
( in(sK4(X0,X1,X2,X4),cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| ~ in(X4,sK2(X0,X1,X2))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f370,plain,
( ! [X2,X3,X4] :
( ~ in(sK20(X4),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| sK20(X4) != ordered_pair(X2,X3)
| ~ in(sK20(X4),X4)
| ~ in(X2,complements_of_subsets(the_carrier(sK18),sK17))
| ordered_pair(X2,X3) != sK20(sK2(sK19,sK17,sK18))
| subset_complement(the_carrier(sK18),X2) != X3 )
| ~ spl24_4
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f362,f336]) ).
fof(f362,plain,
( ! [X2,X3,X4] :
( ordered_pair(X2,X3) != sK20(sK2(sK19,sK17,sK18))
| ~ in(sK20(sK2(sK19,sK17,sK18)),sK2(sK19,sK17,sK18))
| ~ in(X2,complements_of_subsets(the_carrier(sK18),sK17))
| sK20(X4) != ordered_pair(X2,X3)
| subset_complement(the_carrier(sK18),X2) != X3
| ~ in(sK20(X4),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ~ in(sK20(X4),X4) )
| ~ spl24_4
| ~ spl24_5 ),
inference(resolution,[],[f360,f232]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( ~ in(sK20(X2),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ~ in(X0,complements_of_subsets(the_carrier(sK18),sK17))
| sK20(X2) != ordered_pair(X0,X1)
| ~ in(sK20(X2),X2)
| ordered_pair(X0,X1) != sK20(X3)
| ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| subset_complement(the_carrier(sK18),X0) != X1
| ~ in(sK20(X3),X3) ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f231,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,complements_of_subsets(the_carrier(sK18),sK17))
| subset_complement(the_carrier(sK18),X0) != X1
| ~ in(X0,complements_of_subsets(the_carrier(sK18),sK17))
| sK20(X2) != ordered_pair(X0,X1)
| ~ in(sK20(X2),X2)
| ordered_pair(X0,X1) != sK20(X3)
| ~ in(sK20(X2),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ~ in(sK20(X3),X3) ),
inference(superposition,[],[f179,f180]) ).
fof(f180,plain,
! [X3,X6,X5] :
( sK21(X5,X6) = X5
| ordered_pair(X5,X6) != sK20(X3)
| ~ in(sK20(X3),X3)
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17))
| ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f179,plain,
! [X3,X6,X5] :
( subset_complement(the_carrier(sK18),sK21(X5,X6)) != X6
| ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ~ in(sK20(X3),X3)
| ordered_pair(X5,X6) != sK20(X3)
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f509,plain,
( spl24_12
| spl24_19
| ~ spl24_11 ),
inference(avatar_split_clause,[],[f483,f382,f450,f388]) ).
fof(f382,plain,
( spl24_11
<=> element(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),powerset(the_carrier(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).
fof(f483,plain,
( ! [X0] :
( ~ in(sK20(sK2(sK19,sK17,sK18)),sK2(X0,sK17,sK18))
| sK6(sK17,sK18,sK20(sK2(sK19,sK17,sK18))) = subset_complement(the_carrier(sK18),sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))))
| ~ sP1(X0,sK17,sK18) )
| ~ spl24_11 ),
inference(resolution,[],[f384,f190]) ).
fof(f190,plain,
! [X2,X0,X1,X4] :
( ~ element(sK5(X1,X2,X4),powerset(the_carrier(X2)))
| ~ sP1(X0,X1,X2)
| ~ in(X4,sK2(X0,X1,X2))
| subset_complement(the_carrier(X2),sK5(X1,X2,X4)) = sK6(X1,X2,X4) ),
inference(equality_resolution,[],[f126]) ).
fof(f126,plain,
! [X2,X0,X1,X4,X12] :
( ~ element(X12,powerset(the_carrier(X2)))
| sK6(X1,X2,X4) = subset_complement(the_carrier(X2),X12)
| sK5(X1,X2,X4) != X12
| ~ in(X4,sK2(X0,X1,X2))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f384,plain,
( element(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),powerset(the_carrier(sK18)))
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f481,plain,
( ~ spl24_4
| ~ spl24_5
| spl24_11 ),
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f480,plain,
( $false
| ~ spl24_4
| ~ spl24_5
| spl24_11 ),
inference(trivial_inequality_removal,[],[f477]) ).
fof(f477,plain,
( sK20(sK2(sK19,sK17,sK18)) != sK20(sK2(sK19,sK17,sK18))
| ~ spl24_4
| ~ spl24_5
| spl24_11 ),
inference(superposition,[],[f464,f347]) ).
fof(f464,plain,
( ! [X4] : ordered_pair(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),X4) != sK20(sK2(sK19,sK17,sK18))
| ~ spl24_4
| ~ spl24_5
| spl24_11 ),
inference(subsumption_resolution,[],[f463,f348]) ).
fof(f463,plain,
( ! [X4] :
( ~ in(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),complements_of_subsets(the_carrier(sK18),sK17))
| ordered_pair(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),X4) != sK20(sK2(sK19,sK17,sK18)) )
| ~ spl24_4
| ~ spl24_5
| spl24_11 ),
inference(resolution,[],[f383,f401]) ).
fof(f401,plain,
( ! [X6,X5] :
( element(X5,powerset(the_carrier(sK18)))
| ordered_pair(X5,X6) != sK20(sK2(sK19,sK17,sK18))
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17)) )
| ~ spl24_4
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f400,f336]) ).
fof(f400,plain,
( ! [X6,X5] :
( ordered_pair(X5,X6) != sK20(sK2(sK19,sK17,sK18))
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17))
| element(X5,powerset(the_carrier(sK18)))
| ~ in(sK20(sK2(sK19,sK17,sK18)),sK2(sK19,sK17,sK18)) )
| ~ spl24_4
| ~ spl24_5 ),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f399,plain,
( ! [X6,X5] :
( ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17))
| ordered_pair(X5,X6) != sK20(sK2(sK19,sK17,sK18))
| element(X5,powerset(the_carrier(sK18)))
| ordered_pair(X5,X6) != sK20(sK2(sK19,sK17,sK18))
| ~ in(sK20(sK2(sK19,sK17,sK18)),sK2(sK19,sK17,sK18)) )
| ~ spl24_4
| ~ spl24_5 ),
inference(resolution,[],[f371,f360]) ).
fof(f371,plain,
( ! [X8,X9,X7] :
( ~ in(sK20(X8),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| element(X7,powerset(the_carrier(sK18)))
| ~ in(X7,complements_of_subsets(the_carrier(sK18),sK17))
| ordered_pair(X7,X9) != sK20(X8)
| ordered_pair(X7,X9) != sK20(sK2(sK19,sK17,sK18))
| ~ in(sK20(X8),X8) )
| ~ spl24_4
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f364,f336]) ).
fof(f364,plain,
( ! [X8,X9,X7] :
( ~ in(sK20(sK2(sK19,sK17,sK18)),sK2(sK19,sK17,sK18))
| ~ in(X7,complements_of_subsets(the_carrier(sK18),sK17))
| ~ in(sK20(X8),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| element(X7,powerset(the_carrier(sK18)))
| ~ in(sK20(X8),X8)
| ordered_pair(X7,X9) != sK20(sK2(sK19,sK17,sK18))
| ordered_pair(X7,X9) != sK20(X8) )
| ~ spl24_4
| ~ spl24_5 ),
inference(resolution,[],[f360,f230]) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ~ in(X0,complements_of_subsets(the_carrier(sK18),sK17))
| element(X0,powerset(the_carrier(sK18)))
| ~ in(sK20(X3),X3)
| sK20(X2) != ordered_pair(X0,X1)
| ~ in(sK20(X2),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ~ in(sK20(X2),X2)
| ordered_pair(X0,X1) != sK20(X3) ),
inference(duplicate_literal_removal,[],[f229]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( sK20(X2) != ordered_pair(X0,X1)
| ~ in(X0,complements_of_subsets(the_carrier(sK18),sK17))
| ~ in(sK20(X3),X3)
| ordered_pair(X0,X1) != sK20(X3)
| element(X0,powerset(the_carrier(sK18)))
| ~ in(sK20(X2),X2)
| ~ in(X0,complements_of_subsets(the_carrier(sK18),sK17))
| ~ in(sK20(X2),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19)) ),
inference(superposition,[],[f181,f180]) ).
fof(f181,plain,
! [X3,X6,X5] :
( element(sK21(X5,X6),powerset(the_carrier(sK18)))
| ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),sK19))
| ordered_pair(X5,X6) != sK20(X3)
| ~ in(sK20(X3),X3)
| ~ in(X5,complements_of_subsets(the_carrier(sK18),sK17)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f383,plain,
( ~ element(sK5(sK17,sK18,sK20(sK2(sK19,sK17,sK18))),powerset(the_carrier(sK18)))
| spl24_11 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f326,plain,
spl24_4,
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f325,plain,
( $false
| spl24_4 ),
inference(resolution,[],[f301,f282]) ).
fof(f282,plain,
( ~ sP1(sK19,sK17,sK18)
| spl24_4 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f301,plain,
( ! [X0] : sP1(X0,sK17,sK18)
| spl24_4 ),
inference(subsumption_resolution,[],[f300,f174]) ).
fof(f174,plain,
one_sorted_str(sK18),
inference(cnf_transformation,[],[f115]) ).
fof(f300,plain,
( ! [X0] :
( sP1(X0,sK17,sK18)
| ~ one_sorted_str(sK18) )
| spl24_4 ),
inference(subsumption_resolution,[],[f299,f291]) ).
fof(f291,plain,
( sK9(sK18,sK17) = sK10(sK18,sK17)
| spl24_4 ),
inference(subsumption_resolution,[],[f288,f173]) ).
fof(f173,plain,
element(sK17,powerset(powerset(the_carrier(sK18)))),
inference(cnf_transformation,[],[f115]) ).
fof(f288,plain,
( sK9(sK18,sK17) = sK10(sK18,sK17)
| ~ element(sK17,powerset(powerset(the_carrier(sK18))))
| spl24_4 ),
inference(resolution,[],[f282,f197]) ).
fof(f197,plain,
! [X6,X7] :
( sP1(X7,X6,sK18)
| ~ element(X6,powerset(powerset(the_carrier(sK18))))
| sK10(sK18,X6) = sK9(sK18,X6) ),
inference(resolution,[],[f174,f136]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| sK9(X0,X1) = sK10(X0,X1)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| sP1(X2,X1,X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( ( sK9(X0,X1) = sK11(X0,X1)
& ordered_pair(sK12(X0,X1),sK13(X0,X1)) = sK10(X0,X1)
& in(sK12(X0,X1),complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( sK12(X0,X1) != X8
| ~ element(X8,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X8) = sK13(X0,X1) )
& sP0(sK11(X0,X1),X1,X0)
& sK9(X0,X1) = sK10(X0,X1)
& sK11(X0,X1) != sK10(X0,X1) )
| sP1(X2,X1,X0) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13])],[f95,f97,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ? [X3,X4,X5] :
( X3 = X5
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( X6 != X8
| ~ element(X8,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X8) = X7 ) )
& sP0(X5,X1,X0)
& X3 = X4
& X4 != X5 )
=> ( sK9(X0,X1) = sK11(X0,X1)
& ? [X7,X6] :
( ordered_pair(X6,X7) = sK10(X0,X1)
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( X6 != X8
| ~ element(X8,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X8) = X7 ) )
& sP0(sK11(X0,X1),X1,X0)
& sK9(X0,X1) = sK10(X0,X1)
& sK11(X0,X1) != sK10(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X7,X6] :
( ordered_pair(X6,X7) = sK10(X0,X1)
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( X6 != X8
| ~ element(X8,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X8) = X7 ) )
=> ( ordered_pair(sK12(X0,X1),sK13(X0,X1)) = sK10(X0,X1)
& in(sK12(X0,X1),complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( sK12(X0,X1) != X8
| ~ element(X8,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X8) = sK13(X0,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3,X4,X5] :
( X3 = X5
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( X6 != X8
| ~ element(X8,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X8) = X7 ) )
& sP0(X5,X1,X0)
& X3 = X4
& X4 != X5 )
| sP1(X2,X1,X0) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ! [X2] :
( ? [X5,X4,X3] :
( X3 = X5
& ? [X7,X6] :
( ordered_pair(X7,X6) = X4
& in(X7,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( X7 != X8
| ~ element(X8,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X8) = X6 ) )
& sP0(X3,X1,X0)
& X4 = X5
& X3 != X4 )
| sP1(X2,X1,X0) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(definition_folding,[],[f74,f82,f81]) ).
fof(f81,plain,
! [X3,X1,X0] :
( ? [X9,X10] :
( ordered_pair(X10,X9) = X3
& in(X10,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( ~ element(X11,powerset(the_carrier(X0)))
| X10 != X11
| subset_complement(the_carrier(X0),X11) = X9 ) )
| ~ sP0(X3,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f74,plain,
! [X0,X1] :
( ! [X2] :
( ? [X5,X4,X3] :
( X3 = X5
& ? [X7,X6] :
( ordered_pair(X7,X6) = X4
& in(X7,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( X7 != X8
| ~ element(X8,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X8) = X6 ) )
& ? [X9,X10] :
( ordered_pair(X10,X9) = X3
& in(X10,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( ~ element(X11,powerset(the_carrier(X0)))
| X10 != X11
| subset_complement(the_carrier(X0),X11) = X9 ) )
& X4 = X5
& X3 != X4 )
| ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X13 = X14
& ? [X16,X15] :
( ! [X17] :
( ~ element(X17,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X17) = X15
| X16 != X17 )
& in(X16,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X16,X15) = X13 ) ) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ! [X2] :
( ? [X12] :
! [X13] :
( ? [X14] :
( in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X13 = X14
& ? [X16,X15] :
( ! [X17] :
( subset_complement(the_carrier(X0),X17) = X15
| X16 != X17
| ~ element(X17,powerset(the_carrier(X0))) )
& ordered_pair(X16,X15) = X13
& in(X16,complements_of_subsets(the_carrier(X0),X1)) ) )
<=> in(X13,X12) )
| ? [X3,X5,X4] :
( X3 != X4
& X3 = X5
& X4 = X5
& ? [X6,X7] :
( ordered_pair(X7,X6) = X4
& in(X7,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( subset_complement(the_carrier(X0),X8) = X6
| X7 != X8
| ~ element(X8,powerset(the_carrier(X0))) ) )
& ? [X9,X10] :
( in(X10,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( subset_complement(the_carrier(X0),X11) = X9
| X10 != X11
| ~ element(X11,powerset(the_carrier(X0))) )
& ordered_pair(X10,X9) = X3 ) ) )
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( ( one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ! [X2] :
( ! [X3,X5,X4] :
( ( X3 = X5
& X4 = X5
& ? [X6,X7] :
( ordered_pair(X7,X6) = X4
& in(X7,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( element(X8,powerset(the_carrier(X0)))
=> ( X7 = X8
=> subset_complement(the_carrier(X0),X8) = X6 ) ) )
& ? [X9,X10] :
( in(X10,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( element(X11,powerset(the_carrier(X0)))
=> ( X10 = X11
=> subset_complement(the_carrier(X0),X11) = X9 ) )
& ordered_pair(X10,X9) = X3 ) )
=> X3 = X4 )
=> ? [X12] :
! [X13] :
( ? [X14] :
( in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X13 = X14
& ? [X16,X15] :
( ! [X17] :
( element(X17,powerset(the_carrier(X0)))
=> ( X16 = X17
=> subset_complement(the_carrier(X0),X17) = X15 ) )
& ordered_pair(X16,X15) = X13
& in(X16,complements_of_subsets(the_carrier(X0),X1)) ) )
<=> in(X13,X12) ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ! [X2] :
( ! [X5,X4,X3] :
( ( ? [X7,X6] :
( in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( element(X8,powerset(the_carrier(X0)))
=> ( X6 = X8
=> subset_complement(the_carrier(X0),X8) = X7 ) )
& ordered_pair(X6,X7) = X4 )
& ? [X10,X9] :
( ! [X11] :
( element(X11,powerset(the_carrier(X0)))
=> ( X9 = X11
=> subset_complement(the_carrier(X0),X11) = X10 ) )
& ordered_pair(X9,X10) = X5
& in(X9,complements_of_subsets(the_carrier(X0),X1)) )
& X3 = X4
& X3 = X5 )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( X4 = X5
& in(X5,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X13,X12] :
( ! [X14] :
( element(X14,powerset(the_carrier(X0)))
=> ( X12 = X14
=> subset_complement(the_carrier(X0),X14) = X13 ) )
& in(X12,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X12,X13) = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e4_7_1__tops_2__2) ).
fof(f299,plain,
( ! [X0] :
( sK9(sK18,sK17) != sK10(sK18,sK17)
| ~ one_sorted_str(sK18)
| sP1(X0,sK17,sK18) )
| spl24_4 ),
inference(subsumption_resolution,[],[f298,f173]) ).
fof(f298,plain,
( ! [X0] :
( ~ element(sK17,powerset(powerset(the_carrier(sK18))))
| sK9(sK18,sK17) != sK10(sK18,sK17)
| sP1(X0,sK17,sK18)
| ~ one_sorted_str(sK18) )
| spl24_4 ),
inference(superposition,[],[f135,f293]) ).
fof(f293,plain,
( sK9(sK18,sK17) = sK11(sK18,sK17)
| spl24_4 ),
inference(subsumption_resolution,[],[f289,f173]) ).
fof(f289,plain,
( ~ element(sK17,powerset(powerset(the_carrier(sK18))))
| sK9(sK18,sK17) = sK11(sK18,sK17)
| spl24_4 ),
inference(resolution,[],[f282,f195]) ).
fof(f195,plain,
! [X2,X3] :
( sP1(X3,X2,sK18)
| ~ element(X2,powerset(powerset(the_carrier(sK18))))
| sK9(sK18,X2) = sK11(sK18,X2) ),
inference(resolution,[],[f174,f141]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| sK9(X0,X1) = sK11(X0,X1)
| sP1(X2,X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f98]) ).
fof(f135,plain,
! [X2,X0,X1] :
( sK11(X0,X1) != sK10(X0,X1)
| sP1(X2,X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f98]) ).
fof(f286,plain,
( ~ spl24_4
| spl24_5 ),
inference(avatar_split_clause,[],[f278,f284,f280]) ).
fof(f278,plain,
! [X0,X1] :
( in(sK20(X0),sK2(X1,sK17,sK18))
| ~ sP1(sK19,sK17,sK18)
| ~ sP1(X1,sK17,sK18)
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X1))
| in(sK20(X0),X0)
| in(sK20(X0),sK2(sK19,sK17,sK18)) ),
inference(duplicate_literal_removal,[],[f276]) ).
fof(f276,plain,
! [X0,X1] :
( in(sK20(X0),sK2(sK19,sK17,sK18))
| ~ sP1(X1,sK17,sK18)
| in(sK20(X0),sK2(X1,sK17,sK18))
| in(sK20(X0),X0)
| ~ sP1(sK19,sK17,sK18)
| in(sK20(X0),X0)
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X1)) ),
inference(resolution,[],[f274,f175]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ in(sK20(X2),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X0))
| ~ sP1(X0,sK17,sK18)
| in(sK20(X2),X2)
| in(sK20(X2),sK2(X1,sK17,sK18))
| ~ in(sK20(X2),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X1))
| ~ sP1(X1,sK17,sK18)
| in(sK20(X2),sK2(X0,sK17,sK18)) ),
inference(duplicate_literal_removal,[],[f272]) ).
fof(f272,plain,
! [X2,X0,X1] :
( in(sK20(X2),X2)
| ~ sP1(X0,sK17,sK18)
| in(sK20(X2),sK2(X1,sK17,sK18))
| ~ in(sK20(X2),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X0))
| in(sK20(X2),sK2(X0,sK17,sK18))
| ~ in(sK20(X2),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X1))
| in(sK20(X2),X2)
| ~ sP1(X1,sK17,sK18) ),
inference(resolution,[],[f270,f176]) ).
fof(f176,plain,
! [X3] :
( in(sK22(X3),complements_of_subsets(the_carrier(sK18),sK17))
| in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f270,plain,
! [X2,X3,X0,X1] :
( ~ in(sK22(X0),complements_of_subsets(the_carrier(sK18),X1))
| ~ sP1(X3,sK17,sK18)
| ~ sP1(X2,X1,sK18)
| in(sK20(X0),sK2(X2,X1,sK18))
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X3))
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),X1),X2))
| in(sK20(X0),X0)
| in(sK20(X0),sK2(X3,sK17,sK18)) ),
inference(duplicate_literal_removal,[],[f268]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( in(sK20(X0),sK2(X2,X1,sK18))
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),sK17),X3))
| in(sK20(X0),X0)
| in(sK20(X0),sK2(X3,sK17,sK18))
| ~ sP1(X3,sK17,sK18)
| ~ sP1(X2,X1,sK18)
| in(sK20(X0),X0)
| ~ in(sK22(X0),complements_of_subsets(the_carrier(sK18),X1))
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),X1),X2)) ),
inference(resolution,[],[f258,f176]) ).
fof(f258,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK22(X0),complements_of_subsets(the_carrier(sK18),X1))
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),X3),X4))
| ~ sP1(X2,X1,sK18)
| ~ sP1(X4,X3,sK18)
| in(sK20(X0),sK2(X2,X1,sK18))
| in(sK20(X0),sK2(X4,X3,sK18))
| ~ in(sK22(X0),complements_of_subsets(the_carrier(sK18),X3))
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),X1),X2))
| in(sK20(X0),X0) ),
inference(subsumption_resolution,[],[f257,f238]) ).
fof(f238,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK23(X1) != subset_complement(the_carrier(X0),sK22(X1))
| in(sK20(X1),sK2(X3,X2,X0))
| ~ in(sK20(X1),cartesian_product2(complements_of_subsets(the_carrier(X0),X2),X3))
| ~ sP1(X3,X2,X0)
| ~ sP1(X5,X4,X0)
| ~ in(sK20(X1),cartesian_product2(complements_of_subsets(the_carrier(X0),X4),X5))
| ~ in(sK22(X1),complements_of_subsets(the_carrier(X0),X4))
| ~ in(sK22(X1),complements_of_subsets(the_carrier(X0),X2))
| in(sK20(X1),sK2(X5,X4,X0))
| in(sK20(X1),X1) ),
inference(duplicate_literal_removal,[],[f236]) ).
fof(f236,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(sK22(X1),complements_of_subsets(the_carrier(X0),X4))
| in(sK20(X1),X1)
| ~ sP1(X5,X4,X0)
| in(sK20(X1),sK2(X5,X4,X0))
| ~ in(sK20(X1),cartesian_product2(complements_of_subsets(the_carrier(X0),X2),X3))
| in(sK20(X1),X1)
| sK23(X1) != subset_complement(the_carrier(X0),sK22(X1))
| ~ sP1(X3,X2,X0)
| ~ in(sK22(X1),complements_of_subsets(the_carrier(X0),X2))
| in(sK20(X1),sK2(X3,X2,X0))
| ~ in(sK20(X1),cartesian_product2(complements_of_subsets(the_carrier(X0),X4),X5)) ),
inference(superposition,[],[f221,f220]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( sK22(X0) = sK3(X1,sK22(X0),sK23(X0))
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ sP1(X3,X2,X1)
| in(sK20(X0),sK2(X3,X2,X1))
| ~ in(sK22(X0),complements_of_subsets(the_carrier(X1),X2))
| in(sK20(X0),X0) ),
inference(superposition,[],[f189,f177]) ).
fof(f177,plain,
! [X3] :
( ordered_pair(sK22(X3),sK23(X3)) = sK20(X3)
| in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f189,plain,
! [X2,X0,X1,X6,X7] :
( ~ in(ordered_pair(X6,X7),cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| in(ordered_pair(X6,X7),sK2(X0,X1,X2))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| sK3(X2,X6,X7) = X6
| ~ sP1(X0,X1,X2) ),
inference(equality_resolution,[],[f188]) ).
fof(f188,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(X5,sK2(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| sK3(X2,X6,X7) = X6
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X5
| ~ sP1(X0,X1,X2) ),
inference(equality_resolution,[],[f129]) ).
fof(f129,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK2(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| X4 != X5
| sK3(X2,X6,X7) = X6
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X4
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f221,plain,
! [X6,X7,X4,X5] :
( sK23(X4) != subset_complement(the_carrier(X5),sK3(X5,sK22(X4),sK23(X4)))
| ~ in(sK20(X4),cartesian_product2(complements_of_subsets(the_carrier(X5),X6),X7))
| ~ sP1(X7,X6,X5)
| in(sK20(X4),sK2(X7,X6,X5))
| ~ in(sK22(X4),complements_of_subsets(the_carrier(X5),X6))
| in(sK20(X4),X4) ),
inference(superposition,[],[f187,f177]) ).
fof(f187,plain,
! [X2,X0,X1,X6,X7] :
( ~ in(ordered_pair(X6,X7),cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| in(ordered_pair(X6,X7),sK2(X0,X1,X2))
| subset_complement(the_carrier(X2),sK3(X2,X6,X7)) != X7
| ~ sP1(X0,X1,X2)
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1)) ),
inference(equality_resolution,[],[f186]) ).
fof(f186,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(X5,sK2(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| subset_complement(the_carrier(X2),sK3(X2,X6,X7)) != X7
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X5
| ~ sP1(X0,X1,X2) ),
inference(equality_resolution,[],[f130]) ).
fof(f130,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK2(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| X4 != X5
| subset_complement(the_carrier(X2),sK3(X2,X6,X7)) != X7
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X4
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),X3),X4))
| ~ in(sK22(X0),complements_of_subsets(the_carrier(sK18),X3))
| subset_complement(the_carrier(sK18),sK22(X0)) = sK23(X0)
| in(sK20(X0),sK2(X2,X1,sK18))
| ~ sP1(X2,X1,sK18)
| ~ in(sK22(X0),complements_of_subsets(the_carrier(sK18),X1))
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),X1),X2))
| in(sK20(X0),X0)
| ~ sP1(X4,X3,sK18)
| in(sK20(X0),sK2(X4,X3,sK18)) ),
inference(duplicate_literal_removal,[],[f256]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(sK22(X0),complements_of_subsets(the_carrier(sK18),X3))
| subset_complement(the_carrier(sK18),sK22(X0)) = sK23(X0)
| in(sK20(X0),X0)
| in(sK20(X0),sK2(X2,X1,sK18))
| in(sK20(X0),sK2(X4,X3,sK18))
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),X1),X2))
| in(sK20(X0),X0)
| ~ sP1(X2,X1,sK18)
| ~ in(sK22(X0),complements_of_subsets(the_carrier(sK18),X1))
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK18),X3),X4))
| ~ sP1(X4,X3,sK18) ),
inference(resolution,[],[f235,f193]) ).
fof(f193,plain,
! [X3] :
( ~ element(sK22(X3),powerset(the_carrier(sK18)))
| in(sK20(X3),X3)
| sK23(X3) = subset_complement(the_carrier(sK18),sK22(X3)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,plain,
! [X3,X10] :
( in(sK20(X3),X3)
| ~ element(X10,powerset(the_carrier(sK18)))
| sK22(X3) != X10
| sK23(X3) = subset_complement(the_carrier(sK18),X10) ),
inference(cnf_transformation,[],[f115]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X4,X5] :
( element(sK22(X1),powerset(the_carrier(X0)))
| ~ in(sK20(X1),cartesian_product2(complements_of_subsets(the_carrier(X0),X4),X5))
| ~ in(sK22(X1),complements_of_subsets(the_carrier(X0),X3))
| ~ in(sK22(X1),complements_of_subsets(the_carrier(X0),X4))
| in(sK20(X1),X1)
| ~ in(sK20(X1),cartesian_product2(complements_of_subsets(the_carrier(X0),X3),X2))
| in(sK20(X1),sK2(X2,X3,X0))
| ~ sP1(X5,X4,X0)
| ~ sP1(X2,X3,X0)
| in(sK20(X1),sK2(X5,X4,X0)) ),
inference(forward_subsumption_demodulation,[],[f234,f177]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X4,X5] :
( in(ordered_pair(sK22(X1),sK23(X1)),sK2(X2,X3,X0))
| ~ sP1(X5,X4,X0)
| element(sK22(X1),powerset(the_carrier(X0)))
| ~ in(sK22(X1),complements_of_subsets(the_carrier(X0),X3))
| ~ sP1(X2,X3,X0)
| in(sK20(X1),X1)
| in(sK20(X1),sK2(X5,X4,X0))
| ~ in(sK20(X1),cartesian_product2(complements_of_subsets(the_carrier(X0),X4),X5))
| ~ in(sK20(X1),cartesian_product2(complements_of_subsets(the_carrier(X0),X3),X2))
| ~ in(sK22(X1),complements_of_subsets(the_carrier(X0),X4)) ),
inference(forward_subsumption_demodulation,[],[f233,f177]) ).
fof(f233,plain,
! [X2,X3,X0,X1,X4,X5] :
( in(sK20(X1),X1)
| ~ in(sK22(X1),complements_of_subsets(the_carrier(X0),X4))
| ~ in(sK22(X1),complements_of_subsets(the_carrier(X0),X3))
| ~ sP1(X5,X4,X0)
| element(sK22(X1),powerset(the_carrier(X0)))
| ~ sP1(X2,X3,X0)
| ~ in(ordered_pair(sK22(X1),sK23(X1)),cartesian_product2(complements_of_subsets(the_carrier(X0),X3),X2))
| ~ in(sK20(X1),cartesian_product2(complements_of_subsets(the_carrier(X0),X4),X5))
| in(sK20(X1),sK2(X5,X4,X0))
| in(ordered_pair(sK22(X1),sK23(X1)),sK2(X2,X3,X0)) ),
inference(superposition,[],[f185,f220]) ).
fof(f185,plain,
! [X2,X0,X1,X6,X7] :
( element(sK3(X2,X6,X7),powerset(the_carrier(X2)))
| in(ordered_pair(X6,X7),sK2(X0,X1,X2))
| ~ sP1(X0,X1,X2)
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ~ in(ordered_pair(X6,X7),cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0)) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(X5,sK2(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| element(sK3(X2,X6,X7),powerset(the_carrier(X2)))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X5
| ~ sP1(X0,X1,X2) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK2(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X0))
| X4 != X5
| element(sK3(X2,X6,X7),powerset(the_carrier(X2)))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X4
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU329+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 : n020.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 15:15:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (23575)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)
% 0.20/0.50 % (23573)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)
% 0.20/0.50 % (23556)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)
% 0.20/0.51 % (23556)Instruction limit reached!
% 0.20/0.51 % (23556)------------------------------
% 0.20/0.51 % (23556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23567)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)
% 0.20/0.51 % (23559)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)
% 0.20/0.51 % (23565)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)
% 0.20/0.52 % (23556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (23556)Termination reason: Unknown
% 0.20/0.52 % (23556)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (23556)Memory used [KB]: 6140
% 0.20/0.52 % (23556)Time elapsed: 0.008 s
% 0.20/0.52 % (23556)Instructions burned: 13 (million)
% 0.20/0.52 % (23556)------------------------------
% 0.20/0.52 % (23556)------------------------------
% 0.20/0.52 % (23557)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)
% 0.20/0.52 % (23554)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)
% 0.20/0.52 % (23554)Instruction limit reached!
% 0.20/0.52 % (23554)------------------------------
% 0.20/0.52 % (23554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (23554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (23554)Termination reason: Unknown
% 0.20/0.52 % (23554)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (23554)Memory used [KB]: 1535
% 0.20/0.52 % (23554)Time elapsed: 0.003 s
% 0.20/0.52 % (23554)Instructions burned: 4 (million)
% 0.20/0.52 % (23554)------------------------------
% 0.20/0.52 % (23554)------------------------------
% 0.20/0.52 % (23555)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)
% 0.20/0.52 % (23552)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (23558)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)
% 0.20/0.53 % (23560)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)
% 0.20/0.53 % (23574)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)
% 0.20/0.53 % (23579)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)
% 0.20/0.53 % (23553)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)
% 0.20/0.53 % (23580)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)
% 0.20/0.53 % (23567)Instruction limit reached!
% 0.20/0.53 % (23567)------------------------------
% 0.20/0.53 % (23567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (23562)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)
% 0.20/0.53 % (23567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (23567)Termination reason: Unknown
% 0.20/0.53 % (23567)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (23567)Memory used [KB]: 6140
% 0.20/0.53 % (23567)Time elapsed: 0.123 s
% 0.20/0.53 % (23567)Instructions burned: 7 (million)
% 0.20/0.53 % (23567)------------------------------
% 0.20/0.53 % (23567)------------------------------
% 0.20/0.54 % (23566)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)
% 0.20/0.54 % (23569)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (23566)Instruction limit reached!
% 0.20/0.54 % (23566)------------------------------
% 0.20/0.54 % (23566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23566)Termination reason: Unknown
% 0.20/0.54 % (23566)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (23566)Memory used [KB]: 6012
% 0.20/0.54 % (23566)Time elapsed: 0.003 s
% 0.20/0.54 % (23566)Instructions burned: 5 (million)
% 0.20/0.54 % (23566)------------------------------
% 0.20/0.54 % (23566)------------------------------
% 0.20/0.54 % (23577)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)
% 0.20/0.54 % (23571)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)
% 0.20/0.54 % (23569)Instruction limit reached!
% 0.20/0.54 % (23569)------------------------------
% 0.20/0.54 % (23569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23569)Termination reason: Unknown
% 0.20/0.54 % (23569)Termination phase: Finite model building preprocessing
% 0.20/0.54
% 0.20/0.54 % (23569)Memory used [KB]: 1535
% 0.20/0.54 % (23569)Time elapsed: 0.003 s
% 0.20/0.54 % (23569)Instructions burned: 5 (million)
% 0.20/0.54 % (23569)------------------------------
% 0.20/0.54 % (23569)------------------------------
% 1.42/0.54 % (23570)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)
% 1.42/0.54 % (23570)Instruction limit reached!
% 1.42/0.54 % (23570)------------------------------
% 1.42/0.54 % (23570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (23570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (23570)Termination reason: Unknown
% 1.42/0.54 % (23570)Termination phase: Preprocessing 1
% 1.42/0.54
% 1.42/0.54 % (23570)Memory used [KB]: 1407
% 1.42/0.54 % (23570)Time elapsed: 0.002 s
% 1.42/0.54 % (23570)Instructions burned: 2 (million)
% 1.42/0.54 % (23570)------------------------------
% 1.42/0.54 % (23570)------------------------------
% 1.42/0.54 % (23578)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)
% 1.42/0.54 % (23568)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)
% 1.42/0.54 % (23576)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)
% 1.42/0.54 % (23563)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)
% 1.42/0.55 % (23561)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.42/0.55 % (23581)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.42/0.55 % (23563)Instruction limit reached!
% 1.42/0.55 % (23563)------------------------------
% 1.42/0.55 % (23563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (23563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (23563)Termination reason: Unknown
% 1.42/0.55 % (23563)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (23563)Memory used [KB]: 6140
% 1.42/0.55 % (23563)Time elapsed: 0.149 s
% 1.42/0.55 % (23563)Instructions burned: 8 (million)
% 1.42/0.55 % (23563)------------------------------
% 1.42/0.55 % (23563)------------------------------
% 1.42/0.55 % (23572)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)
% 1.42/0.55 % (23553)Instruction limit reached!
% 1.42/0.55 % (23553)------------------------------
% 1.42/0.55 % (23553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (23553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (23553)Termination reason: Unknown
% 1.42/0.55 % (23553)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (23553)Memory used [KB]: 6268
% 1.42/0.55 % (23553)Time elapsed: 0.132 s
% 1.42/0.55 % (23553)Instructions burned: 14 (million)
% 1.42/0.55 % (23553)------------------------------
% 1.42/0.55 % (23553)------------------------------
% 1.42/0.56 % (23562)Refutation not found, incomplete strategy% (23562)------------------------------
% 1.42/0.56 % (23562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (23562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (23562)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.56
% 1.42/0.56 % (23562)Memory used [KB]: 6268
% 1.42/0.56 % (23562)Time elapsed: 0.140 s
% 1.42/0.56 % (23562)Instructions burned: 9 (million)
% 1.42/0.56 % (23562)------------------------------
% 1.42/0.56 % (23562)------------------------------
% 1.42/0.56 % (23564)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.42/0.56 % (23580)Instruction limit reached!
% 1.42/0.56 % (23580)------------------------------
% 1.42/0.56 % (23580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (23580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (23580)Termination reason: Unknown
% 1.42/0.56 % (23580)Termination phase: Saturation
% 1.42/0.56
% 1.42/0.56 % (23580)Memory used [KB]: 6140
% 1.42/0.56 % (23580)Time elapsed: 0.129 s
% 1.42/0.56 % (23580)Instructions burned: 9 (million)
% 1.42/0.56 % (23580)------------------------------
% 1.42/0.56 % (23580)------------------------------
% 1.42/0.56 % (23571)Refutation not found, incomplete strategy% (23571)------------------------------
% 1.42/0.56 % (23571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (23571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (23571)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.56
% 1.42/0.56 % (23571)Memory used [KB]: 6140
% 1.42/0.56 % (23571)Time elapsed: 0.140 s
% 1.42/0.56 % (23571)Instructions burned: 10 (million)
% 1.42/0.56 % (23571)------------------------------
% 1.42/0.56 % (23571)------------------------------
% 1.59/0.56 % (23557)Instruction limit reached!
% 1.59/0.56 % (23557)------------------------------
% 1.59/0.56 % (23557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (23557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (23557)Termination reason: Unknown
% 1.59/0.56 % (23557)Termination phase: Saturation
% 1.59/0.56
% 1.59/0.56 % (23557)Memory used [KB]: 1663
% 1.59/0.56 % (23557)Time elapsed: 0.158 s
% 1.59/0.56 % (23557)Instructions burned: 15 (million)
% 1.59/0.56 % (23557)------------------------------
% 1.59/0.56 % (23557)------------------------------
% 1.59/0.56 % (23559)Instruction limit reached!
% 1.59/0.56 % (23559)------------------------------
% 1.59/0.56 % (23559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (23559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (23559)Termination reason: Unknown
% 1.59/0.56 % (23559)Termination phase: Saturation
% 1.59/0.56
% 1.59/0.56 % (23559)Memory used [KB]: 6908
% 1.59/0.56 % (23559)Time elapsed: 0.156 s
% 1.59/0.56 % (23559)Instructions burned: 39 (million)
% 1.59/0.56 % (23559)------------------------------
% 1.59/0.56 % (23559)------------------------------
% 1.59/0.57 % (23564)Refutation not found, incomplete strategy% (23564)------------------------------
% 1.59/0.57 % (23564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (23564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (23564)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.57
% 1.59/0.57 % (23564)Memory used [KB]: 1663
% 1.59/0.57 % (23564)Time elapsed: 0.171 s
% 1.59/0.57 % (23564)Instructions burned: 7 (million)
% 1.59/0.57 % (23564)------------------------------
% 1.59/0.57 % (23564)------------------------------
% 1.59/0.57 % (23575)Instruction limit reached!
% 1.59/0.57 % (23575)------------------------------
% 1.59/0.57 % (23575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (23575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (23575)Termination reason: Unknown
% 1.59/0.57 % (23575)Termination phase: Saturation
% 1.59/0.57
% 1.59/0.57 % (23575)Memory used [KB]: 2046
% 1.59/0.57 % (23575)Time elapsed: 0.148 s
% 1.59/0.57 % (23575)Instructions burned: 45 (million)
% 1.59/0.57 % (23575)------------------------------
% 1.59/0.57 % (23575)------------------------------
% 1.59/0.57 % (23579)Instruction limit reached!
% 1.59/0.57 % (23579)------------------------------
% 1.59/0.57 % (23579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (23579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (23579)Termination reason: Unknown
% 1.59/0.57 % (23579)Termination phase: Saturation
% 1.59/0.57
% 1.59/0.57 % (23579)Memory used [KB]: 6396
% 1.59/0.57 % (23579)Time elapsed: 0.158 s
% 1.59/0.57 % (23579)Instructions burned: 25 (million)
% 1.59/0.57 % (23579)------------------------------
% 1.59/0.57 % (23579)------------------------------
% 1.59/0.59 % (23581)Instruction limit reached!
% 1.59/0.59 % (23581)------------------------------
% 1.59/0.59 % (23581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (23581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 % (23581)Termination reason: Unknown
% 1.59/0.59 % (23581)Termination phase: Saturation
% 1.59/0.59
% 1.59/0.59 % (23581)Memory used [KB]: 6268
% 1.59/0.59 % (23581)Time elapsed: 0.170 s
% 1.59/0.59 % (23581)Instructions burned: 24 (million)
% 1.59/0.59 % (23581)------------------------------
% 1.59/0.59 % (23581)------------------------------
% 1.59/0.59 % (23565)Instruction limit reached!
% 1.59/0.59 % (23565)------------------------------
% 1.59/0.59 % (23565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (23565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 % (23565)Termination reason: Unknown
% 1.59/0.59 % (23565)Termination phase: Saturation
% 1.59/0.59
% 1.59/0.59 % (23565)Memory used [KB]: 7164
% 1.59/0.59 % (23565)Time elapsed: 0.150 s
% 1.59/0.59 % (23565)Instructions burned: 51 (million)
% 1.59/0.59 % (23565)------------------------------
% 1.59/0.59 % (23565)------------------------------
% 1.59/0.60 % (23561)Instruction limit reached!
% 1.59/0.60 % (23561)------------------------------
% 1.59/0.60 % (23561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (23561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (23561)Termination reason: Unknown
% 1.59/0.60 % (23561)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (23561)Memory used [KB]: 6524
% 1.59/0.60 % (23561)Time elapsed: 0.204 s
% 1.59/0.60 % (23561)Instructions burned: 33 (million)
% 1.59/0.60 % (23561)------------------------------
% 1.59/0.60 % (23561)------------------------------
% 1.59/0.60 % (23555)Instruction limit reached!
% 1.59/0.60 % (23555)------------------------------
% 1.59/0.60 % (23555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (23555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (23555)Termination reason: Unknown
% 1.59/0.60 % (23555)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (23555)Memory used [KB]: 6908
% 1.59/0.60 % (23555)Time elapsed: 0.176 s
% 1.59/0.60 % (23555)Instructions burned: 51 (million)
% 1.59/0.60 % (23555)------------------------------
% 1.59/0.60 % (23555)------------------------------
% 1.59/0.60 % (23572)Instruction limit reached!
% 1.59/0.60 % (23572)------------------------------
% 1.59/0.60 % (23572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (23572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (23572)Termination reason: Unknown
% 1.59/0.60 % (23572)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (23572)Memory used [KB]: 6524
% 1.59/0.60 % (23572)Time elapsed: 0.183 s
% 1.59/0.60 % (23572)Instructions burned: 32 (million)
% 1.59/0.60 % (23572)------------------------------
% 1.59/0.60 % (23572)------------------------------
% 1.59/0.60 % (23568)First to succeed.
% 1.59/0.60 % (23558)Instruction limit reached!
% 1.59/0.60 % (23558)------------------------------
% 1.59/0.60 % (23558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (23558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (23558)Termination reason: Unknown
% 1.59/0.60 % (23558)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (23558)Memory used [KB]: 6524
% 1.59/0.60 % (23558)Time elapsed: 0.167 s
% 1.59/0.60 % (23558)Instructions burned: 39 (million)
% 1.59/0.60 % (23558)------------------------------
% 1.59/0.60 % (23558)------------------------------
% 1.59/0.61 % (23560)Instruction limit reached!
% 1.59/0.61 % (23560)------------------------------
% 1.59/0.61 % (23560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.61 % (23560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.61 % (23560)Termination reason: Unknown
% 1.59/0.61 % (23560)Termination phase: Saturation
% 1.59/0.61
% 1.59/0.61 % (23560)Memory used [KB]: 6780
% 1.59/0.61 % (23560)Time elapsed: 0.205 s
% 1.59/0.61 % (23560)Instructions burned: 50 (million)
% 1.59/0.61 % (23560)------------------------------
% 1.59/0.61 % (23560)------------------------------
% 1.59/0.62 % (23568)Refutation found. Thanks to Tanya!
% 1.59/0.62 % SZS status Theorem for theBenchmark
% 1.59/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.62 % (23568)------------------------------
% 1.59/0.62 % (23568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.62 % (23568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.62 % (23568)Termination reason: Refutation
% 1.59/0.62
% 1.59/0.62 % (23568)Memory used [KB]: 6780
% 1.59/0.62 % (23568)Time elapsed: 0.208 s
% 1.59/0.62 % (23568)Instructions burned: 31 (million)
% 1.59/0.62 % (23568)------------------------------
% 1.59/0.62 % (23568)------------------------------
% 1.59/0.62 % (23551)Success in time 0.257 s
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