TSTP Solution File: SEU329+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:33:15 EDT 2022
% Result : Theorem 27.44s 3.86s
% Output : Refutation 27.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 18
% Syntax : Number of formulae : 132 ( 3 unt; 0 def)
% Number of atoms : 1066 ( 338 equ)
% Maximal formula atoms : 32 ( 8 avg)
% Number of connectives : 1536 ( 602 ~; 642 |; 241 &)
% ( 11 <=>; 38 =>; 0 <=; 2 <~>)
% Maximal formula depth : 22 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 3 con; 0-4 aty)
% Number of variables : 638 ( 475 !; 163 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3727,plain,
$false,
inference(avatar_sat_refutation,[],[f629,f1260,f3722,f3726]) ).
fof(f3726,plain,
( ~ spl24_25
| ~ spl24_26 ),
inference(avatar_contradiction_clause,[],[f3723]) ).
fof(f3723,plain,
( $false
| ~ spl24_25
| ~ spl24_26 ),
inference(resolution,[],[f3721,f1207]) ).
fof(f1207,plain,
( in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,sK19))
| ~ spl24_25 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1205,plain,
( spl24_25
<=> in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_25])]) ).
fof(f3721,plain,
( ! [X0] : ~ in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,X0))
| ~ spl24_26 ),
inference(avatar_component_clause,[],[f3720]) ).
fof(f3720,plain,
( spl24_26
<=> ! [X0] : ~ in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_26])]) ).
fof(f3722,plain,
( spl24_26
| spl24_26
| spl24_26
| spl24_26
| ~ spl24_17
| ~ spl24_25 ),
inference(avatar_split_clause,[],[f3718,f1205,f627,f3720,f3720,f3720,f3720]) ).
fof(f627,plain,
( spl24_17
<=> ! [X15] : sP1(sK18,sK17,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).
fof(f3718,plain,
( ! [X2,X3,X0,X1] :
( ~ in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,X2))
| ~ in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,X3))
| ~ in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,X1))
| ~ in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,X0)) )
| ~ spl24_17
| ~ spl24_25 ),
inference(equality_resolution,[],[f3703]) ).
fof(f3703,plain,
( ! [X16,X14,X15,X12,X13] :
( sK20(sK5(sK18,sK17,sK19)) != X12
| ~ in(X12,sK5(sK18,sK17,X15))
| ~ in(X12,sK5(sK18,sK17,X14))
| ~ in(X12,sK5(sK18,sK17,X13))
| ~ in(X12,sK5(sK18,sK17,X16)) )
| ~ spl24_17
| ~ spl24_25 ),
inference(subsumption_resolution,[],[f3702,f1207]) ).
fof(f3702,plain,
( ! [X16,X14,X15,X12,X13] :
( ~ in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,sK19))
| ~ in(X12,sK5(sK18,sK17,X16))
| ~ in(X12,sK5(sK18,sK17,X14))
| ~ in(X12,sK5(sK18,sK17,X15))
| ~ in(X12,sK5(sK18,sK17,X13))
| sK20(sK5(sK18,sK17,sK19)) != X12 )
| ~ spl24_17
| ~ spl24_25 ),
inference(duplicate_literal_removal,[],[f3701]) ).
fof(f3701,plain,
( ! [X16,X14,X15,X12,X13] :
( ~ in(X12,sK5(sK18,sK17,X14))
| sK20(sK5(sK18,sK17,sK19)) != X12
| ~ in(X12,sK5(sK18,sK17,X16))
| ~ in(X12,sK5(sK18,sK17,X15))
| ~ in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,sK19))
| sK20(sK5(sK18,sK17,sK19)) != X12
| ~ in(X12,sK5(sK18,sK17,X13)) )
| ~ spl24_17
| ~ spl24_25 ),
inference(resolution,[],[f3670,f1207]) ).
fof(f3670,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ in(sK20(X0),sK5(sK18,sK17,sK19))
| ~ in(X1,sK5(sK18,sK17,X3))
| ~ in(X1,sK5(sK18,sK17,X5))
| ~ in(X1,sK5(sK18,sK17,X4))
| sK20(sK5(sK18,sK17,sK19)) != X1
| ~ in(X1,sK5(sK18,sK17,X2))
| ~ in(sK20(X0),X0)
| sK20(X0) != X1 )
| ~ spl24_17
| ~ spl24_25 ),
inference(subsumption_resolution,[],[f3669,f628]) ).
fof(f628,plain,
( ! [X15] : sP1(sK18,sK17,X15)
| ~ spl24_17 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f3669,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ in(X1,sK5(sK18,sK17,X5))
| ~ in(X1,sK5(sK18,sK17,X2))
| ~ in(sK20(X0),sK5(sK18,sK17,sK19))
| ~ sP1(sK18,sK17,X4)
| ~ in(X1,sK5(sK18,sK17,X4))
| sK20(sK5(sK18,sK17,sK19)) != X1
| ~ in(sK20(X0),X0)
| sK20(X0) != X1
| ~ in(X1,sK5(sK18,sK17,X3)) )
| ~ spl24_17
| ~ spl24_25 ),
inference(subsumption_resolution,[],[f3668,f628]) ).
fof(f3668,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ in(sK20(X0),X0)
| sK20(X0) != X1
| ~ in(sK20(X0),sK5(sK18,sK17,sK19))
| ~ in(X1,sK5(sK18,sK17,X5))
| ~ sP1(sK18,sK17,X2)
| ~ in(X1,sK5(sK18,sK17,X4))
| sK20(sK5(sK18,sK17,sK19)) != X1
| ~ in(X1,sK5(sK18,sK17,X2))
| ~ in(X1,sK5(sK18,sK17,X3))
| ~ sP1(sK18,sK17,X4) )
| ~ spl24_17
| ~ spl24_25 ),
inference(subsumption_resolution,[],[f3667,f628]) ).
fof(f3667,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK20(X0) != X1
| ~ in(X1,sK5(sK18,sK17,X5))
| sK20(sK5(sK18,sK17,sK19)) != X1
| ~ in(X1,sK5(sK18,sK17,X3))
| ~ sP1(sK18,sK17,X5)
| ~ sP1(sK18,sK17,X4)
| ~ sP1(sK18,sK17,X2)
| ~ in(sK20(X0),sK5(sK18,sK17,sK19))
| ~ in(X1,sK5(sK18,sK17,X2))
| ~ in(X1,sK5(sK18,sK17,X4))
| ~ in(sK20(X0),X0) )
| ~ spl24_17
| ~ spl24_25 ),
inference(subsumption_resolution,[],[f3664,f628]) ).
fof(f3664,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ in(sK20(X0),sK5(sK18,sK17,sK19))
| ~ in(X1,sK5(sK18,sK17,X4))
| ~ sP1(sK18,sK17,X3)
| ~ sP1(sK18,sK17,X2)
| ~ sP1(sK18,sK17,X4)
| ~ in(X1,sK5(sK18,sK17,X2))
| ~ sP1(sK18,sK17,X5)
| sK20(X0) != X1
| ~ in(X1,sK5(sK18,sK17,X3))
| ~ in(X1,sK5(sK18,sK17,X5))
| ~ in(sK20(X0),X0)
| sK20(sK5(sK18,sK17,sK19)) != X1 )
| ~ spl24_17
| ~ spl24_25 ),
inference(resolution,[],[f3656,f159]) ).
fof(f159,plain,
! [X2,X0,X1,X4] :
( in(sK9(X0,X1,X4),complements_of_subsets(the_carrier(X1),X0))
| ~ sP1(X0,X1,X2)
| ~ in(X4,sK5(X0,X1,X2)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( in(X4,sK5(X0,X1,X2))
| ! [X5] :
( ! [X6,X7] :
( ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| ordered_pair(X7,X6) != X4
| ( sK6(X1,X6,X7) = X7
& subset_complement(the_carrier(X1),sK6(X1,X6,X7)) != X6
& element(sK6(X1,X6,X7),powerset(the_carrier(X1))) ) )
| X4 != X5
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) ) )
& ( ( in(sK9(X0,X1,X4),complements_of_subsets(the_carrier(X1),X0))
& ordered_pair(sK9(X0,X1,X4),sK8(X0,X1,X4)) = X4
& ! [X12] :
( sK9(X0,X1,X4) != X12
| sK8(X0,X1,X4) = subset_complement(the_carrier(X1),X12)
| ~ element(X12,powerset(the_carrier(X1))) )
& sK7(X0,X1,X2,X4) = X4
& in(sK7(X0,X1,X2,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) )
| ~ in(X4,sK5(X0,X1,X2)) ) )
| ~ sP1(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9])],[f91,f95,f94,f93,f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ! [X6,X7] :
( ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| ordered_pair(X7,X6) != X4
| ? [X8] :
( X7 = X8
& subset_complement(the_carrier(X1),X8) != X6
& element(X8,powerset(the_carrier(X1))) ) )
| X4 != X5
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) ) )
& ( ? [X9] :
( ? [X10,X11] :
( in(X11,complements_of_subsets(the_carrier(X1),X0))
& ordered_pair(X11,X10) = X4
& ! [X12] :
( X11 != X12
| subset_complement(the_carrier(X1),X12) = X10
| ~ element(X12,powerset(the_carrier(X1))) ) )
& X4 = X9
& in(X9,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) )
| ~ in(X4,X3) ) )
=> ! [X4] :
( ( in(X4,sK5(X0,X1,X2))
| ! [X5] :
( ! [X6,X7] :
( ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| ordered_pair(X7,X6) != X4
| ? [X8] :
( X7 = X8
& subset_complement(the_carrier(X1),X8) != X6
& element(X8,powerset(the_carrier(X1))) ) )
| X4 != X5
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) ) )
& ( ? [X9] :
( ? [X10,X11] :
( in(X11,complements_of_subsets(the_carrier(X1),X0))
& ordered_pair(X11,X10) = X4
& ! [X12] :
( X11 != X12
| subset_complement(the_carrier(X1),X12) = X10
| ~ element(X12,powerset(the_carrier(X1))) ) )
& X4 = X9
& in(X9,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) )
| ~ in(X4,sK5(X0,X1,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X1,X6,X7] :
( ? [X8] :
( X7 = X8
& subset_complement(the_carrier(X1),X8) != X6
& element(X8,powerset(the_carrier(X1))) )
=> ( sK6(X1,X6,X7) = X7
& subset_complement(the_carrier(X1),sK6(X1,X6,X7)) != X6
& element(sK6(X1,X6,X7),powerset(the_carrier(X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1,X2,X4] :
( ? [X9] :
( ? [X10,X11] :
( in(X11,complements_of_subsets(the_carrier(X1),X0))
& ordered_pair(X11,X10) = X4
& ! [X12] :
( X11 != X12
| subset_complement(the_carrier(X1),X12) = X10
| ~ element(X12,powerset(the_carrier(X1))) ) )
& X4 = X9
& in(X9,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) )
=> ( ? [X10,X11] :
( in(X11,complements_of_subsets(the_carrier(X1),X0))
& ordered_pair(X11,X10) = X4
& ! [X12] :
( X11 != X12
| subset_complement(the_carrier(X1),X12) = X10
| ~ element(X12,powerset(the_carrier(X1))) ) )
& sK7(X0,X1,X2,X4) = X4
& in(sK7(X0,X1,X2,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0,X1,X4] :
( ? [X10,X11] :
( in(X11,complements_of_subsets(the_carrier(X1),X0))
& ordered_pair(X11,X10) = X4
& ! [X12] :
( X11 != X12
| subset_complement(the_carrier(X1),X12) = X10
| ~ element(X12,powerset(the_carrier(X1))) ) )
=> ( in(sK9(X0,X1,X4),complements_of_subsets(the_carrier(X1),X0))
& ordered_pair(sK9(X0,X1,X4),sK8(X0,X1,X4)) = X4
& ! [X12] :
( sK9(X0,X1,X4) != X12
| sK8(X0,X1,X4) = subset_complement(the_carrier(X1),X12)
| ~ element(X12,powerset(the_carrier(X1))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ! [X6,X7] :
( ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| ordered_pair(X7,X6) != X4
| ? [X8] :
( X7 = X8
& subset_complement(the_carrier(X1),X8) != X6
& element(X8,powerset(the_carrier(X1))) ) )
| X4 != X5
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) ) )
& ( ? [X9] :
( ? [X10,X11] :
( in(X11,complements_of_subsets(the_carrier(X1),X0))
& ordered_pair(X11,X10) = X4
& ! [X12] :
( X11 != X12
| subset_complement(the_carrier(X1),X12) = X10
| ~ element(X12,powerset(the_carrier(X1))) ) )
& X4 = X9
& in(X9,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2)) )
| ~ in(X4,X3) ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X1,X0,X2] :
( ? [X12] :
! [X13] :
( ( in(X13,X12)
| ! [X14] :
( ! [X16,X15] :
( ~ in(X15,complements_of_subsets(the_carrier(X0),X1))
| ordered_pair(X15,X16) != X13
| ? [X17] :
( X15 = X17
& subset_complement(the_carrier(X0),X17) != X16
& element(X17,powerset(the_carrier(X0))) ) )
| X13 != X14
| ~ in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2)) ) )
& ( ? [X14] :
( ? [X16,X15] :
( in(X15,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X15,X16) = X13
& ! [X17] :
( X15 != X17
| subset_complement(the_carrier(X0),X17) = X16
| ~ element(X17,powerset(the_carrier(X0))) ) )
& X13 = X14
& in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2)) )
| ~ in(X13,X12) ) )
| ~ sP1(X1,X0,X2) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X1,X0,X2] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( ? [X16,X15] :
( in(X15,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X15,X16) = X13
& ! [X17] :
( X15 != X17
| subset_complement(the_carrier(X0),X17) = X16
| ~ element(X17,powerset(the_carrier(X0))) ) )
& X13 = X14
& in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2)) ) )
| ~ sP1(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f3656,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ in(sK9(X0,sK17,X1),complements_of_subsets(the_carrier(sK17),sK18))
| ~ in(sK20(X3),sK5(sK18,sK17,sK19))
| ~ in(X1,sK5(X0,sK17,X2))
| ~ in(X1,sK5(X0,sK17,X4))
| ~ sP1(X0,sK17,X5)
| ~ sP1(X0,sK17,X4)
| sK20(X3) != X1
| sK20(sK5(sK18,sK17,sK19)) != X1
| ~ in(X1,sK5(X0,sK17,X5))
| ~ in(sK20(X3),X3)
| ~ sP1(X0,sK17,X2) )
| ~ spl24_17
| ~ spl24_25 ),
inference(subsumption_resolution,[],[f3655,f1481]) ).
fof(f1481,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK9(X0,X1,X2),complements_of_subsets(the_carrier(sK17),sK18))
| ~ sP1(X0,X1,X4)
| ~ sP1(X0,X1,X3)
| ~ in(X2,sK5(X0,X1,X4))
| ~ in(X2,sK5(X0,X1,X3))
| element(sK9(X0,X1,X2),powerset(the_carrier(sK17)))
| sK20(sK5(sK18,sK17,sK19)) != X2 )
| ~ spl24_17
| ~ spl24_25 ),
inference(duplicate_literal_removal,[],[f1474]) ).
fof(f1474,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK9(X0,X1,X2),complements_of_subsets(the_carrier(sK17),sK18))
| ~ in(sK9(X0,X1,X2),complements_of_subsets(the_carrier(sK17),sK18))
| element(sK9(X0,X1,X2),powerset(the_carrier(sK17)))
| sK20(sK5(sK18,sK17,sK19)) != X2
| sK20(sK5(sK18,sK17,sK19)) != X2
| ~ sP1(X0,X1,X4)
| ~ in(X2,sK5(X0,X1,X3))
| ~ in(X2,sK5(X0,X1,X4))
| ~ sP1(X0,X1,X3) )
| ~ spl24_17
| ~ spl24_25 ),
inference(superposition,[],[f1351,f1266]) ).
fof(f1266,plain,
( ! [X2,X3,X0,X1] :
( sK21(sK8(X0,X1,X2),sK9(X0,X1,X2)) = sK9(X0,X1,X2)
| sK20(sK5(sK18,sK17,sK19)) != X2
| ~ in(sK9(X0,X1,X2),complements_of_subsets(the_carrier(sK17),sK18))
| ~ sP1(X0,X1,X3)
| ~ in(X2,sK5(X0,X1,X3)) )
| ~ spl24_17
| ~ spl24_25 ),
inference(superposition,[],[f1265,f158]) ).
fof(f158,plain,
! [X2,X0,X1,X4] :
( ordered_pair(sK9(X0,X1,X4),sK8(X0,X1,X4)) = X4
| ~ in(X4,sK5(X0,X1,X2))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f1265,plain,
( ! [X2,X3] :
( ordered_pair(X2,X3) != sK20(sK5(sK18,sK17,sK19))
| sK21(X3,X2) = X2
| ~ in(X2,complements_of_subsets(the_carrier(sK17),sK18)) )
| ~ spl24_17
| ~ spl24_25 ),
inference(subsumption_resolution,[],[f1262,f1207]) ).
fof(f1262,plain,
( ! [X2,X3] :
( ~ in(X2,complements_of_subsets(the_carrier(sK17),sK18))
| ~ in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,sK19))
| ordered_pair(X2,X3) != sK20(sK5(sK18,sK17,sK19))
| sK21(X3,X2) = X2 )
| ~ spl24_17
| ~ spl24_25 ),
inference(resolution,[],[f1207,f823]) ).
fof(f823,plain,
( ! [X10,X11,X12] :
( ~ in(sK20(X10),sK5(sK18,sK17,sK19))
| ~ in(X12,complements_of_subsets(the_carrier(sK17),sK18))
| ~ in(sK20(X10),X10)
| sK20(X10) != ordered_pair(X12,X11)
| sK21(X11,X12) = X12 )
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f820,f628]) ).
fof(f820,plain,
! [X10,X11,X12] :
( ~ in(sK20(X10),sK5(sK18,sK17,sK19))
| ~ sP1(sK18,sK17,sK19)
| sK20(X10) != ordered_pair(X12,X11)
| ~ in(X12,complements_of_subsets(the_carrier(sK17),sK18))
| sK21(X11,X12) = X12
| ~ in(sK20(X10),X10) ),
inference(resolution,[],[f816,f182]) ).
fof(f182,plain,
! [X3,X6,X5] :
( ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
| ~ in(sK20(X3),X3)
| sK21(X5,X6) = X6
| ~ in(X6,complements_of_subsets(the_carrier(sK17),sK18))
| ordered_pair(X6,X5) != sK20(X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( one_sorted_str(sK17)
& ! [X3] :
( ( ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
| ! [X5,X6] :
( ( sK21(X5,X6) = X6
& subset_complement(the_carrier(sK17),sK21(X5,X6)) != X5
& element(sK21(X5,X6),powerset(the_carrier(sK17))) )
| ~ in(X6,complements_of_subsets(the_carrier(sK17),sK18))
| ordered_pair(X6,X5) != sK20(X3) )
| ~ in(sK20(X3),X3) )
& ( ( in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
& ! [X10] :
( sK23(X3) != X10
| subset_complement(the_carrier(sK17),X10) = sK22(X3)
| ~ element(X10,powerset(the_carrier(sK17))) )
& in(sK23(X3),complements_of_subsets(the_carrier(sK17),sK18))
& sK20(X3) = ordered_pair(sK23(X3),sK22(X3)) )
| in(sK20(X3),X3) ) )
& element(sK18,powerset(powerset(the_carrier(sK17)))) ),
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] :
( one_sorted_str(X0)
& ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ! [X5,X6] :
( ? [X7] :
( X6 = X7
& subset_complement(the_carrier(X0),X7) != X5
& element(X7,powerset(the_carrier(X0))) )
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| ordered_pair(X6,X5) != X4 )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X8,X9] :
( ! [X10] :
( X9 != X10
| subset_complement(the_carrier(X0),X10) = X8
| ~ element(X10,powerset(the_carrier(X0))) )
& in(X9,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X9,X8) = X4 ) )
| in(X4,X3) ) )
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ( one_sorted_str(sK17)
& ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),X2))
| ! [X6,X5] :
( ? [X7] :
( X6 = X7
& subset_complement(the_carrier(sK17),X7) != X5
& element(X7,powerset(the_carrier(sK17))) )
| ~ in(X6,complements_of_subsets(the_carrier(sK17),sK18))
| ordered_pair(X6,X5) != X4 )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),X2))
& ? [X9,X8] :
( ! [X10] :
( X9 != X10
| subset_complement(the_carrier(sK17),X10) = X8
| ~ element(X10,powerset(the_carrier(sK17))) )
& in(X9,complements_of_subsets(the_carrier(sK17),sK18))
& ordered_pair(X9,X8) = X4 ) )
| in(X4,X3) ) )
& element(sK18,powerset(powerset(the_carrier(sK17)))) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),X2))
| ! [X6,X5] :
( ? [X7] :
( X6 = X7
& subset_complement(the_carrier(sK17),X7) != X5
& element(X7,powerset(the_carrier(sK17))) )
| ~ in(X6,complements_of_subsets(the_carrier(sK17),sK18))
| ordered_pair(X6,X5) != X4 )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),X2))
& ? [X9,X8] :
( ! [X10] :
( X9 != X10
| subset_complement(the_carrier(sK17),X10) = X8
| ~ element(X10,powerset(the_carrier(sK17))) )
& in(X9,complements_of_subsets(the_carrier(sK17),sK18))
& ordered_pair(X9,X8) = X4 ) )
| in(X4,X3) ) )
=> ! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
| ! [X6,X5] :
( ? [X7] :
( X6 = X7
& subset_complement(the_carrier(sK17),X7) != X5
& element(X7,powerset(the_carrier(sK17))) )
| ~ in(X6,complements_of_subsets(the_carrier(sK17),sK18))
| ordered_pair(X6,X5) != X4 )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
& ? [X9,X8] :
( ! [X10] :
( X9 != X10
| subset_complement(the_carrier(sK17),X10) = X8
| ~ element(X10,powerset(the_carrier(sK17))) )
& in(X9,complements_of_subsets(the_carrier(sK17),sK18))
& ordered_pair(X9,X8) = X4 ) )
| in(X4,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X3] :
( ? [X4] :
( ( ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
| ! [X6,X5] :
( ? [X7] :
( X6 = X7
& subset_complement(the_carrier(sK17),X7) != X5
& element(X7,powerset(the_carrier(sK17))) )
| ~ in(X6,complements_of_subsets(the_carrier(sK17),sK18))
| ordered_pair(X6,X5) != X4 )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
& ? [X9,X8] :
( ! [X10] :
( X9 != X10
| subset_complement(the_carrier(sK17),X10) = X8
| ~ element(X10,powerset(the_carrier(sK17))) )
& in(X9,complements_of_subsets(the_carrier(sK17),sK18))
& ordered_pair(X9,X8) = X4 ) )
| in(X4,X3) ) )
=> ( ( ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
| ! [X6,X5] :
( ? [X7] :
( X6 = X7
& subset_complement(the_carrier(sK17),X7) != X5
& element(X7,powerset(the_carrier(sK17))) )
| ~ in(X6,complements_of_subsets(the_carrier(sK17),sK18))
| ordered_pair(X6,X5) != sK20(X3) )
| ~ in(sK20(X3),X3) )
& ( ( in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
& ? [X9,X8] :
( ! [X10] :
( X9 != X10
| subset_complement(the_carrier(sK17),X10) = X8
| ~ element(X10,powerset(the_carrier(sK17))) )
& in(X9,complements_of_subsets(the_carrier(sK17),sK18))
& ordered_pair(X9,X8) = sK20(X3) ) )
| in(sK20(X3),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X5,X6] :
( ? [X7] :
( X6 = X7
& subset_complement(the_carrier(sK17),X7) != X5
& element(X7,powerset(the_carrier(sK17))) )
=> ( sK21(X5,X6) = X6
& subset_complement(the_carrier(sK17),sK21(X5,X6)) != X5
& element(sK21(X5,X6),powerset(the_carrier(sK17))) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X3] :
( ? [X9,X8] :
( ! [X10] :
( X9 != X10
| subset_complement(the_carrier(sK17),X10) = X8
| ~ element(X10,powerset(the_carrier(sK17))) )
& in(X9,complements_of_subsets(the_carrier(sK17),sK18))
& ordered_pair(X9,X8) = sK20(X3) )
=> ( ! [X10] :
( sK23(X3) != X10
| subset_complement(the_carrier(sK17),X10) = sK22(X3)
| ~ element(X10,powerset(the_carrier(sK17))) )
& in(sK23(X3),complements_of_subsets(the_carrier(sK17),sK18))
& sK20(X3) = ordered_pair(sK23(X3),sK22(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
? [X0,X1] :
( one_sorted_str(X0)
& ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ! [X5,X6] :
( ? [X7] :
( X6 = X7
& subset_complement(the_carrier(X0),X7) != X5
& element(X7,powerset(the_carrier(X0))) )
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| ordered_pair(X6,X5) != X4 )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X8,X9] :
( ! [X10] :
( X9 != X10
| subset_complement(the_carrier(X0),X10) = X8
| ~ element(X10,powerset(the_carrier(X0))) )
& in(X9,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X9,X8) = X4 ) )
| in(X4,X3) ) )
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
? [X0,X1] :
( one_sorted_str(X0)
& ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ! [X5,X6] :
( ? [X7] :
( X6 = X7
& subset_complement(the_carrier(X0),X7) != X5
& element(X7,powerset(the_carrier(X0))) )
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| ordered_pair(X6,X5) != X4 )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X5,X6] :
( ! [X7] :
( X6 != X7
| subset_complement(the_carrier(X0),X7) = X5
| ~ element(X7,powerset(the_carrier(X0))) )
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X6,X5) = X4 ) )
| in(X4,X3) ) )
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
? [X0,X1] :
( one_sorted_str(X0)
& ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ! [X5,X6] :
( ? [X7] :
( X6 = X7
& subset_complement(the_carrier(X0),X7) != X5
& element(X7,powerset(the_carrier(X0))) )
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| ordered_pair(X6,X5) != X4 )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X5,X6] :
( ! [X7] :
( X6 != X7
| subset_complement(the_carrier(X0),X7) = X5
| ~ element(X7,powerset(the_carrier(X0))) )
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X6,X5) = X4 ) )
| in(X4,X3) ) )
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
? [X0,X1] :
( one_sorted_str(X0)
& ? [X2] :
! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X5,X6] :
( ! [X7] :
( X6 != X7
| subset_complement(the_carrier(X0),X7) = X5
| ~ element(X7,powerset(the_carrier(X0))) )
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X6,X5) = X4 ) ) )
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X6,X5] :
( ! [X7] :
( subset_complement(the_carrier(X0),X7) = X5
| X6 != X7
| ~ element(X7,powerset(the_carrier(X0))) )
& ordered_pair(X6,X5) = X4
& in(X6,complements_of_subsets(the_carrier(X0),X1)) ) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
~ ! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) )
=> ! [X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X6,X5] :
( ! [X7] :
( element(X7,powerset(the_carrier(X0)))
=> ( X6 = X7
=> subset_complement(the_carrier(X0),X7) = X5 ) )
& ordered_pair(X6,X5) = X4
& in(X6,complements_of_subsets(the_carrier(X0),X1)) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) )
=> ! [X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X6,X5] :
( ! [X7] :
( element(X7,powerset(the_carrier(X0)))
=> ( X5 = X7
=> subset_complement(the_carrier(X0),X7) = X6 ) )
& in(X5,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X5,X6) = X4 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) )
=> ! [X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X6,X5] :
( ! [X7] :
( element(X7,powerset(the_carrier(X0)))
=> ( X5 = X7
=> subset_complement(the_carrier(X0),X7) = X6 ) )
& in(X5,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X5,X6) = X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e4_7_1__tops_2__1) ).
fof(f816,plain,
! [X2,X3,X0,X1] :
( in(X3,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| ~ in(X3,sK5(X0,X1,X2))
| ~ sP1(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f814]) ).
fof(f814,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2)
| ~ sP1(X0,X1,X2)
| ~ in(X3,sK5(X0,X1,X2))
| in(X3,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| ~ in(X3,sK5(X0,X1,X2)) ),
inference(superposition,[],[f155,f156]) ).
fof(f156,plain,
! [X2,X0,X1,X4] :
( sK7(X0,X1,X2,X4) = X4
| ~ sP1(X0,X1,X2)
| ~ in(X4,sK5(X0,X1,X2)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f155,plain,
! [X2,X0,X1,X4] :
( in(sK7(X0,X1,X2,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| ~ in(X4,sK5(X0,X1,X2))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f1351,plain,
( ! [X2,X3,X0,X1] :
( element(sK21(sK8(X0,X1,X2),sK9(X0,X1,X2)),powerset(the_carrier(sK17)))
| ~ sP1(X0,X1,X3)
| ~ in(sK9(X0,X1,X2),complements_of_subsets(the_carrier(sK17),sK18))
| ~ in(X2,sK5(X0,X1,X3))
| sK20(sK5(sK18,sK17,sK19)) != X2 )
| ~ spl24_17
| ~ spl24_25 ),
inference(superposition,[],[f1264,f158]) ).
fof(f1264,plain,
( ! [X0,X1] :
( sK20(sK5(sK18,sK17,sK19)) != ordered_pair(X1,X0)
| element(sK21(X0,X1),powerset(the_carrier(sK17)))
| ~ in(X1,complements_of_subsets(the_carrier(sK17),sK18)) )
| ~ spl24_17
| ~ spl24_25 ),
inference(subsumption_resolution,[],[f1261,f1207]) ).
fof(f1261,plain,
( ! [X0,X1] :
( ~ in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,sK19))
| element(sK21(X0,X1),powerset(the_carrier(sK17)))
| sK20(sK5(sK18,sK17,sK19)) != ordered_pair(X1,X0)
| ~ in(X1,complements_of_subsets(the_carrier(sK17),sK18)) )
| ~ spl24_17
| ~ spl24_25 ),
inference(resolution,[],[f1207,f822]) ).
fof(f822,plain,
( ! [X8,X9,X7] :
( ~ in(sK20(X7),sK5(sK18,sK17,sK19))
| element(sK21(X9,X8),powerset(the_carrier(sK17)))
| ~ in(X8,complements_of_subsets(the_carrier(sK17),sK18))
| sK20(X7) != ordered_pair(X8,X9)
| ~ in(sK20(X7),X7) )
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f819,f628]) ).
fof(f819,plain,
! [X8,X9,X7] :
( element(sK21(X9,X8),powerset(the_carrier(sK17)))
| ~ in(sK20(X7),sK5(sK18,sK17,sK19))
| ~ in(sK20(X7),X7)
| ~ sP1(sK18,sK17,sK19)
| sK20(X7) != ordered_pair(X8,X9)
| ~ in(X8,complements_of_subsets(the_carrier(sK17),sK18)) ),
inference(resolution,[],[f816,f180]) ).
fof(f180,plain,
! [X3,X6,X5] :
( ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
| ~ in(sK20(X3),X3)
| ordered_pair(X6,X5) != sK20(X3)
| ~ in(X6,complements_of_subsets(the_carrier(sK17),sK18))
| element(sK21(X5,X6),powerset(the_carrier(sK17))) ),
inference(cnf_transformation,[],[f115]) ).
fof(f3655,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(sK9(X0,sK17,X1),powerset(the_carrier(sK17)))
| ~ sP1(X0,sK17,X2)
| ~ in(X1,sK5(X0,sK17,X4))
| ~ in(sK9(X0,sK17,X1),complements_of_subsets(the_carrier(sK17),sK18))
| ~ in(X1,sK5(X0,sK17,X5))
| ~ sP1(X0,sK17,X5)
| ~ sP1(X0,sK17,X4)
| sK20(X3) != X1
| ~ in(sK20(X3),sK5(sK18,sK17,sK19))
| ~ in(X1,sK5(X0,sK17,X2))
| sK20(sK5(sK18,sK17,sK19)) != X1
| ~ in(sK20(X3),X3) )
| ~ spl24_17
| ~ spl24_25 ),
inference(trivial_inequality_removal,[],[f3654]) ).
fof(f3654,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ in(X1,sK5(X0,sK17,X5))
| sK8(X0,sK17,X1) != sK8(X0,sK17,X1)
| sK20(X3) != X1
| ~ sP1(X0,sK17,X5)
| ~ in(X1,sK5(X0,sK17,X4))
| ~ sP1(X0,sK17,X4)
| ~ in(sK9(X0,sK17,X1),complements_of_subsets(the_carrier(sK17),sK18))
| ~ in(X1,sK5(X0,sK17,X2))
| sK20(sK5(sK18,sK17,sK19)) != X1
| ~ in(sK20(X3),sK5(sK18,sK17,sK19))
| ~ element(sK9(X0,sK17,X1),powerset(the_carrier(sK17)))
| ~ sP1(X0,sK17,X2)
| ~ in(sK20(X3),X3) )
| ~ spl24_17
| ~ spl24_25 ),
inference(superposition,[],[f2826,f190]) ).
fof(f190,plain,
! [X2,X0,X1,X4] :
( sK8(X0,X1,X4) = subset_complement(the_carrier(X1),sK9(X0,X1,X4))
| ~ element(sK9(X0,X1,X4),powerset(the_carrier(X1)))
| ~ in(X4,sK5(X0,X1,X2))
| ~ sP1(X0,X1,X2) ),
inference(equality_resolution,[],[f157]) ).
fof(f157,plain,
! [X2,X0,X1,X4,X12] :
( sK9(X0,X1,X4) != X12
| sK8(X0,X1,X4) = subset_complement(the_carrier(X1),X12)
| ~ element(X12,powerset(the_carrier(X1)))
| ~ in(X4,sK5(X0,X1,X2))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f2826,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK8(X0,X1,X2) != subset_complement(the_carrier(sK17),sK9(X0,X1,X2))
| sK20(sK5(sK18,sK17,sK19)) != X2
| ~ in(X2,sK5(X0,X1,X5))
| ~ in(sK20(X3),sK5(sK18,sK17,sK19))
| ~ sP1(X0,X1,X4)
| ~ in(sK9(X0,X1,X2),complements_of_subsets(the_carrier(sK17),sK18))
| ~ in(X2,sK5(X0,X1,X4))
| ~ in(sK20(X3),X3)
| ~ sP1(X0,X1,X5)
| sK20(X3) != X2 )
| ~ spl24_17
| ~ spl24_25 ),
inference(superposition,[],[f1480,f158]) ).
fof(f1480,plain,
( ! [X21,X18,X19,X22,X20] :
( sK20(X21) != ordered_pair(sK9(X18,X19,X20),sK8(X18,X19,X20))
| ~ sP1(X18,X19,X22)
| sK20(sK5(sK18,sK17,sK19)) != X20
| subset_complement(the_carrier(sK17),sK9(X18,X19,X20)) != sK8(X18,X19,X20)
| ~ in(sK20(X21),sK5(sK18,sK17,sK19))
| ~ in(X20,sK5(X18,X19,X22))
| ~ in(sK20(X21),X21)
| ~ in(sK9(X18,X19,X20),complements_of_subsets(the_carrier(sK17),sK18)) )
| ~ spl24_17
| ~ spl24_25 ),
inference(duplicate_literal_removal,[],[f1477]) ).
fof(f1477,plain,
( ! [X21,X18,X19,X22,X20] :
( ~ in(sK9(X18,X19,X20),complements_of_subsets(the_carrier(sK17),sK18))
| subset_complement(the_carrier(sK17),sK9(X18,X19,X20)) != sK8(X18,X19,X20)
| ~ in(X20,sK5(X18,X19,X22))
| sK20(X21) != ordered_pair(sK9(X18,X19,X20),sK8(X18,X19,X20))
| ~ in(sK9(X18,X19,X20),complements_of_subsets(the_carrier(sK17),sK18))
| ~ sP1(X18,X19,X22)
| sK20(sK5(sK18,sK17,sK19)) != X20
| ~ in(sK20(X21),X21)
| ~ in(sK20(X21),sK5(sK18,sK17,sK19)) )
| ~ spl24_17
| ~ spl24_25 ),
inference(superposition,[],[f824,f1266]) ).
fof(f824,plain,
( ! [X6,X4,X5] :
( subset_complement(the_carrier(sK17),sK21(X6,X5)) != X6
| ordered_pair(X5,X6) != sK20(X4)
| ~ in(sK20(X4),sK5(sK18,sK17,sK19))
| ~ in(X5,complements_of_subsets(the_carrier(sK17),sK18))
| ~ in(sK20(X4),X4) )
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f818,f628]) ).
fof(f818,plain,
! [X6,X4,X5] :
( ~ in(sK20(X4),sK5(sK18,sK17,sK19))
| ~ in(sK20(X4),X4)
| ~ in(X5,complements_of_subsets(the_carrier(sK17),sK18))
| subset_complement(the_carrier(sK17),sK21(X6,X5)) != X6
| ~ sP1(sK18,sK17,sK19)
| ordered_pair(X5,X6) != sK20(X4) ),
inference(resolution,[],[f816,f181]) ).
fof(f181,plain,
! [X3,X6,X5] :
( ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
| ~ in(sK20(X3),X3)
| ordered_pair(X6,X5) != sK20(X3)
| subset_complement(the_carrier(sK17),sK21(X5,X6)) != X5
| ~ in(X6,complements_of_subsets(the_carrier(sK17),sK18)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f1260,plain,
( spl24_25
| ~ spl24_17 ),
inference(avatar_split_clause,[],[f1244,f627,f1205]) ).
fof(f1244,plain,
( in(sK20(sK5(sK18,sK17,sK19)),sK5(sK18,sK17,sK19))
| ~ spl24_17 ),
inference(factoring,[],[f1239]) ).
fof(f1239,plain,
( ! [X0] :
( in(sK20(X0),sK5(sK18,sK17,sK19))
| in(sK20(X0),X0) )
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f1238,f1177]) ).
fof(f1177,plain,
( ! [X0] :
( in(sK20(X0),sK5(sK18,sK17,sK19))
| element(sK23(X0),powerset(the_carrier(sK17)))
| in(sK20(X0),X0) )
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f1176,f177]) ).
fof(f177,plain,
! [X3] :
( in(sK23(X3),complements_of_subsets(the_carrier(sK17),sK18))
| in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f1176,plain,
( ! [X0] :
( ~ in(sK23(X0),complements_of_subsets(the_carrier(sK17),sK18))
| in(sK20(X0),sK5(sK18,sK17,sK19))
| in(sK20(X0),X0)
| element(sK23(X0),powerset(the_carrier(sK17))) )
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f1173,f628]) ).
fof(f1173,plain,
( ! [X0] :
( in(sK20(X0),X0)
| in(sK20(X0),sK5(sK18,sK17,sK19))
| element(sK23(X0),powerset(the_carrier(sK17)))
| ~ in(sK23(X0),complements_of_subsets(the_carrier(sK17),sK18))
| ~ sP1(sK18,sK17,sK19) )
| ~ spl24_17 ),
inference(duplicate_literal_removal,[],[f1169]) ).
fof(f1169,plain,
( ! [X0] :
( in(sK20(X0),sK5(sK18,sK17,sK19))
| ~ sP1(sK18,sK17,sK19)
| in(sK20(X0),sK5(sK18,sK17,sK19))
| in(sK20(X0),X0)
| ~ in(sK23(X0),complements_of_subsets(the_carrier(sK17),sK18))
| in(sK20(X0),X0)
| element(sK23(X0),powerset(the_carrier(sK17))) )
| ~ spl24_17 ),
inference(resolution,[],[f1037,f179]) ).
fof(f179,plain,
! [X3] :
( in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK17),sK18),sK19))
| in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f1037,plain,
( ! [X3,X4,X5] :
( ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK17),X4),X5))
| ~ sP1(X4,sK17,X5)
| in(sK20(X3),X3)
| in(sK20(X3),sK5(X4,sK17,X5))
| in(sK20(X3),sK5(sK18,sK17,sK19))
| element(sK23(X3),powerset(the_carrier(sK17)))
| ~ in(sK23(X3),complements_of_subsets(the_carrier(sK17),X4)) )
| ~ spl24_17 ),
inference(duplicate_literal_removal,[],[f1035]) ).
fof(f1035,plain,
( ! [X3,X4,X5] :
( in(sK20(X3),sK5(X4,sK17,X5))
| ~ in(sK23(X3),complements_of_subsets(the_carrier(sK17),X4))
| in(sK20(X3),X3)
| in(sK20(X3),sK5(sK18,sK17,sK19))
| in(sK20(X3),X3)
| ~ sP1(X4,sK17,X5)
| ~ in(sK20(X3),cartesian_product2(complements_of_subsets(the_carrier(sK17),X4),X5))
| element(sK23(X3),powerset(the_carrier(sK17))) )
| ~ spl24_17 ),
inference(superposition,[],[f995,f1012]) ).
fof(f1012,plain,
( ! [X0] :
( sK6(sK17,sK22(X0),sK23(X0)) = sK23(X0)
| in(sK20(X0),sK5(sK18,sK17,sK19))
| in(sK20(X0),X0) )
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f1011,f177]) ).
fof(f1011,plain,
( ! [X0] :
( in(sK20(X0),X0)
| sK6(sK17,sK22(X0),sK23(X0)) = sK23(X0)
| ~ in(sK23(X0),complements_of_subsets(the_carrier(sK17),sK18))
| in(sK20(X0),sK5(sK18,sK17,sK19)) )
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f1010,f628]) ).
fof(f1010,plain,
! [X0] :
( ~ sP1(sK18,sK17,sK19)
| in(sK20(X0),X0)
| ~ in(sK23(X0),complements_of_subsets(the_carrier(sK17),sK18))
| sK6(sK17,sK22(X0),sK23(X0)) = sK23(X0)
| in(sK20(X0),sK5(sK18,sK17,sK19)) ),
inference(duplicate_literal_removal,[],[f1005]) ).
fof(f1005,plain,
! [X0] :
( ~ in(sK23(X0),complements_of_subsets(the_carrier(sK17),sK18))
| in(sK20(X0),X0)
| sK6(sK17,sK22(X0),sK23(X0)) = sK23(X0)
| in(sK20(X0),X0)
| ~ sP1(sK18,sK17,sK19)
| in(sK20(X0),sK5(sK18,sK17,sK19)) ),
inference(resolution,[],[f988,f179]) ).
fof(f988,plain,
! [X21,X19,X22,X20] :
( ~ in(sK20(X19),cartesian_product2(complements_of_subsets(the_carrier(X20),X21),X22))
| in(sK20(X19),sK5(X21,X20,X22))
| ~ in(sK23(X19),complements_of_subsets(the_carrier(X20),X21))
| sK6(X20,sK22(X19),sK23(X19)) = sK23(X19)
| in(sK20(X19),X19)
| ~ sP1(X21,X20,X22) ),
inference(superposition,[],[f185,f176]) ).
fof(f176,plain,
! [X3] :
( sK20(X3) = ordered_pair(sK23(X3),sK22(X3))
| in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f185,plain,
! [X2,X0,X1,X6,X7] :
( ~ in(ordered_pair(X7,X6),cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| in(ordered_pair(X7,X6),sK5(X0,X1,X2))
| ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| ~ sP1(X0,X1,X2)
| sK6(X1,X6,X7) = X7 ),
inference(equality_resolution,[],[f184]) ).
fof(f184,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(ordered_pair(X7,X6),sK5(X0,X1,X2))
| ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| sK6(X1,X6,X7) = X7
| ordered_pair(X7,X6) != X5
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| ~ sP1(X0,X1,X2) ),
inference(equality_resolution,[],[f162]) ).
fof(f162,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK5(X0,X1,X2))
| ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| ordered_pair(X7,X6) != X4
| sK6(X1,X6,X7) = X7
| X4 != X5
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f995,plain,
! [X21,X19,X22,X20] :
( element(sK6(X20,sK22(X19),sK23(X19)),powerset(the_carrier(X20)))
| ~ sP1(X21,X20,X22)
| in(sK20(X19),X19)
| ~ in(sK23(X19),complements_of_subsets(the_carrier(X20),X21))
| in(sK20(X19),sK5(X21,X20,X22))
| ~ in(sK20(X19),cartesian_product2(complements_of_subsets(the_carrier(X20),X21),X22)) ),
inference(superposition,[],[f189,f176]) ).
fof(f189,plain,
! [X2,X0,X1,X6,X7] :
( ~ in(ordered_pair(X7,X6),cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| ~ sP1(X0,X1,X2)
| ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| element(sK6(X1,X6,X7),powerset(the_carrier(X1)))
| in(ordered_pair(X7,X6),sK5(X0,X1,X2)) ),
inference(equality_resolution,[],[f188]) ).
fof(f188,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(ordered_pair(X7,X6),sK5(X0,X1,X2))
| ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| element(sK6(X1,X6,X7),powerset(the_carrier(X1)))
| ordered_pair(X7,X6) != X5
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| ~ sP1(X0,X1,X2) ),
inference(equality_resolution,[],[f160]) ).
fof(f160,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK5(X0,X1,X2))
| ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| ordered_pair(X7,X6) != X4
| element(sK6(X1,X6,X7),powerset(the_carrier(X1)))
| X4 != X5
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f1238,plain,
( ! [X0] :
( in(sK20(X0),X0)
| ~ element(sK23(X0),powerset(the_carrier(sK17)))
| in(sK20(X0),sK5(sK18,sK17,sK19)) )
| ~ spl24_17 ),
inference(trivial_inequality_removal,[],[f1237]) ).
fof(f1237,plain,
( ! [X0] :
( in(sK20(X0),sK5(sK18,sK17,sK19))
| in(sK20(X0),X0)
| sK22(X0) != sK22(X0)
| ~ element(sK23(X0),powerset(the_carrier(sK17))) )
| ~ spl24_17 ),
inference(duplicate_literal_removal,[],[f1236]) ).
fof(f1236,plain,
( ! [X0] :
( in(sK20(X0),X0)
| ~ element(sK23(X0),powerset(the_carrier(sK17)))
| in(sK20(X0),sK5(sK18,sK17,sK19))
| sK22(X0) != sK22(X0)
| in(sK20(X0),X0) )
| ~ spl24_17 ),
inference(superposition,[],[f1235,f193]) ).
fof(f193,plain,
! [X3] :
( subset_complement(the_carrier(sK17),sK23(X3)) = sK22(X3)
| ~ element(sK23(X3),powerset(the_carrier(sK17)))
| in(sK20(X3),X3) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,plain,
! [X3,X10] :
( sK23(X3) != X10
| subset_complement(the_carrier(sK17),X10) = sK22(X3)
| ~ element(X10,powerset(the_carrier(sK17)))
| in(sK20(X3),X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f1235,plain,
( ! [X0] :
( sK22(X0) != subset_complement(the_carrier(sK17),sK23(X0))
| in(sK20(X0),X0)
| in(sK20(X0),sK5(sK18,sK17,sK19)) )
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f1234,f177]) ).
fof(f1234,plain,
( ! [X0] :
( in(sK20(X0),X0)
| sK22(X0) != subset_complement(the_carrier(sK17),sK23(X0))
| ~ in(sK23(X0),complements_of_subsets(the_carrier(sK17),sK18))
| in(sK20(X0),sK5(sK18,sK17,sK19)) )
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f1231,f628]) ).
fof(f1231,plain,
( ! [X0] :
( sK22(X0) != subset_complement(the_carrier(sK17),sK23(X0))
| in(sK20(X0),X0)
| in(sK20(X0),sK5(sK18,sK17,sK19))
| ~ sP1(sK18,sK17,sK19)
| ~ in(sK23(X0),complements_of_subsets(the_carrier(sK17),sK18)) )
| ~ spl24_17 ),
inference(duplicate_literal_removal,[],[f1227]) ).
fof(f1227,plain,
( ! [X0] :
( in(sK20(X0),X0)
| ~ sP1(sK18,sK17,sK19)
| ~ in(sK23(X0),complements_of_subsets(the_carrier(sK17),sK18))
| sK22(X0) != subset_complement(the_carrier(sK17),sK23(X0))
| in(sK20(X0),sK5(sK18,sK17,sK19))
| in(sK20(X0),sK5(sK18,sK17,sK19))
| in(sK20(X0),X0) )
| ~ spl24_17 ),
inference(resolution,[],[f1036,f179]) ).
fof(f1036,plain,
( ! [X2,X0,X1] :
( ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK17),X1),X2))
| in(sK20(X0),sK5(X1,sK17,X2))
| ~ in(sK23(X0),complements_of_subsets(the_carrier(sK17),X1))
| in(sK20(X0),X0)
| in(sK20(X0),sK5(sK18,sK17,sK19))
| sK22(X0) != subset_complement(the_carrier(sK17),sK23(X0))
| ~ sP1(X1,sK17,X2) )
| ~ spl24_17 ),
inference(duplicate_literal_removal,[],[f1034]) ).
fof(f1034,plain,
( ! [X2,X0,X1] :
( in(sK20(X0),sK5(X1,sK17,X2))
| ~ in(sK20(X0),cartesian_product2(complements_of_subsets(the_carrier(sK17),X1),X2))
| in(sK20(X0),sK5(sK18,sK17,sK19))
| ~ sP1(X1,sK17,X2)
| ~ in(sK23(X0),complements_of_subsets(the_carrier(sK17),X1))
| sK22(X0) != subset_complement(the_carrier(sK17),sK23(X0))
| in(sK20(X0),X0)
| in(sK20(X0),X0) )
| ~ spl24_17 ),
inference(superposition,[],[f1002,f1012]) ).
fof(f1002,plain,
! [X21,X19,X22,X20] :
( subset_complement(the_carrier(X20),sK6(X20,sK22(X19),sK23(X19))) != sK22(X19)
| ~ in(sK20(X19),cartesian_product2(complements_of_subsets(the_carrier(X20),X21),X22))
| in(sK20(X19),X19)
| ~ in(sK23(X19),complements_of_subsets(the_carrier(X20),X21))
| ~ sP1(X21,X20,X22)
| in(sK20(X19),sK5(X21,X20,X22)) ),
inference(superposition,[],[f187,f176]) ).
fof(f187,plain,
! [X2,X0,X1,X6,X7] :
( ~ in(ordered_pair(X7,X6),cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| in(ordered_pair(X7,X6),sK5(X0,X1,X2))
| ~ sP1(X0,X1,X2)
| ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| subset_complement(the_carrier(X1),sK6(X1,X6,X7)) != X6 ),
inference(equality_resolution,[],[f186]) ).
fof(f186,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(ordered_pair(X7,X6),sK5(X0,X1,X2))
| ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| subset_complement(the_carrier(X1),sK6(X1,X6,X7)) != X6
| ordered_pair(X7,X6) != X5
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| ~ sP1(X0,X1,X2) ),
inference(equality_resolution,[],[f161]) ).
fof(f161,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK5(X0,X1,X2))
| ~ in(X7,complements_of_subsets(the_carrier(X1),X0))
| ordered_pair(X7,X6) != X4
| subset_complement(the_carrier(X1),sK6(X1,X6,X7)) != X6
| X4 != X5
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X0),X2))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f629,plain,
( spl24_17
| spl24_17 ),
inference(avatar_split_clause,[],[f625,f627,f627]) ).
fof(f625,plain,
! [X14,X15] :
( sP1(sK18,sK17,X14)
| sP1(sK18,sK17,X15) ),
inference(subsumption_resolution,[],[f623,f183]) ).
fof(f183,plain,
one_sorted_str(sK17),
inference(cnf_transformation,[],[f115]) ).
fof(f623,plain,
! [X14,X15] :
( ~ one_sorted_str(sK17)
| sP1(sK18,sK17,X15)
| sP1(sK18,sK17,X14) ),
inference(resolution,[],[f618,f175]) ).
fof(f175,plain,
element(sK18,powerset(powerset(the_carrier(sK17)))),
inference(cnf_transformation,[],[f115]) ).
fof(f618,plain,
! [X2,X3,X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0)
| sP1(X1,X0,X2)
| sP1(X1,X0,X3) ),
inference(subsumption_resolution,[],[f326,f172]) ).
fof(f172,plain,
! [X2,X0,X1] :
( sK12(X0,X1) = sK13(X0,X1)
| sP1(X1,X0,X2)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ! [X2] :
( sP1(X1,X0,X2)
| ( sK12(X0,X1) = sK13(X0,X1)
& sK14(X0,X1) = ordered_pair(sK15(X0,X1),sK16(X0,X1))
& in(sK15(X0,X1),complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( subset_complement(the_carrier(X0),X8) = sK16(X0,X1)
| ~ element(X8,powerset(the_carrier(X0)))
| sK15(X0,X1) != X8 )
& sK12(X0,X1) != sK14(X0,X1)
& sP0(sK12(X0,X1),X1,X0)
& sK14(X0,X1) = sK13(X0,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16])],[f101,f103,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X3,X4,X5] :
( X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( subset_complement(the_carrier(X0),X8) = X7
| ~ element(X8,powerset(the_carrier(X0)))
| X6 != X8 ) )
& X3 != X5
& sP0(X3,X1,X0)
& X4 = X5 )
=> ( sK12(X0,X1) = sK13(X0,X1)
& ? [X7,X6] :
( ordered_pair(X6,X7) = sK14(X0,X1)
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( subset_complement(the_carrier(X0),X8) = X7
| ~ element(X8,powerset(the_carrier(X0)))
| X6 != X8 ) )
& sK12(X0,X1) != sK14(X0,X1)
& sP0(sK12(X0,X1),X1,X0)
& sK14(X0,X1) = sK13(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X7,X6] :
( ordered_pair(X6,X7) = sK14(X0,X1)
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( subset_complement(the_carrier(X0),X8) = X7
| ~ element(X8,powerset(the_carrier(X0)))
| X6 != X8 ) )
=> ( sK14(X0,X1) = ordered_pair(sK15(X0,X1),sK16(X0,X1))
& in(sK15(X0,X1),complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( subset_complement(the_carrier(X0),X8) = sK16(X0,X1)
| ~ element(X8,powerset(the_carrier(X0)))
| sK15(X0,X1) != X8 ) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ! [X2] :
( sP1(X1,X0,X2)
| ? [X3,X4,X5] :
( X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( subset_complement(the_carrier(X0),X8) = X7
| ~ element(X8,powerset(the_carrier(X0)))
| X6 != X8 ) )
& X3 != X5
& sP0(X3,X1,X0)
& X4 = X5 ) ) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ! [X2] :
( sP1(X1,X0,X2)
| ? [X4,X5,X3] :
( X4 = X5
& ? [X6,X7] :
( ordered_pair(X6,X7) = X3
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( subset_complement(the_carrier(X0),X8) = X7
| ~ element(X8,powerset(the_carrier(X0)))
| X6 != X8 ) )
& X3 != X4
& sP0(X4,X1,X0)
& X3 = X5 ) ) ),
inference(definition_folding,[],[f63,f81,f80]) ).
fof(f80,plain,
! [X4,X1,X0] :
( ? [X10,X9] :
( ordered_pair(X9,X10) = X4
& in(X9,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( X9 != X11
| subset_complement(the_carrier(X0),X11) = X10
| ~ element(X11,powerset(the_carrier(X0))) ) )
| ~ sP0(X4,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f63,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ! [X2] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( ? [X16,X15] :
( in(X15,complements_of_subsets(the_carrier(X0),X1))
& ordered_pair(X15,X16) = X13
& ! [X17] :
( X15 != X17
| subset_complement(the_carrier(X0),X17) = X16
| ~ element(X17,powerset(the_carrier(X0))) ) )
& X13 = X14
& in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2)) ) )
| ? [X4,X5,X3] :
( X4 = X5
& ? [X6,X7] :
( ordered_pair(X6,X7) = X3
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( subset_complement(the_carrier(X0),X8) = X7
| ~ element(X8,powerset(the_carrier(X0)))
| X6 != X8 ) )
& X3 != X4
& ? [X10,X9] :
( ordered_pair(X9,X10) = X4
& in(X9,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( X9 != X11
| subset_complement(the_carrier(X0),X11) = X10
| ~ element(X11,powerset(the_carrier(X0))) ) )
& X3 = X5 ) ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( ! [X2] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X13 = X14
& ? [X16,X15] :
( ordered_pair(X15,X16) = X13
& in(X15,complements_of_subsets(the_carrier(X0),X1))
& ! [X17] :
( subset_complement(the_carrier(X0),X17) = X16
| X15 != X17
| ~ element(X17,powerset(the_carrier(X0))) ) ) ) )
| ? [X4,X5,X3] :
( X3 != X4
& X4 = X5
& ? [X10,X9] :
( ordered_pair(X9,X10) = X4
& ! [X11] :
( subset_complement(the_carrier(X0),X11) = X10
| X9 != X11
| ~ element(X11,powerset(the_carrier(X0))) )
& in(X9,complements_of_subsets(the_carrier(X0),X1)) )
& ? [X6,X7] :
( ordered_pair(X6,X7) = X3
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( subset_complement(the_carrier(X0),X8) = X7
| X6 != X8
| ~ element(X8,powerset(the_carrier(X0))) ) )
& X3 = X5 ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) )
=> ! [X2] :
( ! [X4,X5,X3] :
( ( X4 = X5
& ? [X10,X9] :
( ordered_pair(X9,X10) = X4
& ! [X11] :
( element(X11,powerset(the_carrier(X0)))
=> ( X9 = X11
=> subset_complement(the_carrier(X0),X11) = X10 ) )
& in(X9,complements_of_subsets(the_carrier(X0),X1)) )
& ? [X6,X7] :
( ordered_pair(X6,X7) = X3
& 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 ) ) )
& X3 = 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] :
( ordered_pair(X15,X16) = X13
& in(X15,complements_of_subsets(the_carrier(X0),X1))
& ! [X17] :
( element(X17,powerset(the_carrier(X0)))
=> ( X15 = X17
=> subset_complement(the_carrier(X0),X17) = X16 ) ) ) ) ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& one_sorted_str(X0) )
=> ! [X2] :
( ! [X4,X5,X3] :
( ( X3 = X4
& X3 = X5
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& 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 ) ) )
& ? [X9,X10] :
( ordered_pair(X9,X10) = X5
& ! [X11] :
( element(X11,powerset(the_carrier(X0)))
=> ( X9 = X11
=> subset_complement(the_carrier(X0),X11) = X10 ) )
& in(X9,complements_of_subsets(the_carrier(X0),X1)) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( X4 = X5
& ? [X12,X13] :
( ordered_pair(X12,X13) = X4
& ! [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)) )
& in(X5,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e4_7_1__tops_2__2) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( sP1(X1,X0,X3)
| sK12(X0,X1) != sK13(X0,X1)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| sP1(X1,X0,X2) ),
inference(duplicate_literal_removal,[],[f325]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| sP1(X1,X0,X2)
| sP1(X1,X0,X3)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| sK12(X0,X1) != sK13(X0,X1)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(superposition,[],[f168,f166]) ).
fof(f166,plain,
! [X2,X0,X1] :
( sK14(X0,X1) = sK13(X0,X1)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0)
| sP1(X1,X0,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f168,plain,
! [X2,X0,X1] :
( sK12(X0,X1) != sK14(X0,X1)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| sP1(X1,X0,X2)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU329+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.31 % Computer : n022.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Aug 30 15:14:10 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.14/0.45 % (15794)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.46 % (15809)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.14/0.46 % (15788)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.46 % (15789)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.46 % (15787)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.14/0.46 % (15792)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.46 % (15797)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.14/0.47 % (15805)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.47 % (15801)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.47 % (15806)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.48 % (15789)Instruction limit reached!
% 0.14/0.48 % (15789)------------------------------
% 0.14/0.48 % (15789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 TRYING [1]
% 0.14/0.49 % (15798)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.49 % (15789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (15789)Termination reason: Unknown
% 0.14/0.49 % (15789)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (15789)Memory used [KB]: 5500
% 0.14/0.49 % (15789)Time elapsed: 0.113 s
% 0.14/0.49 % (15789)Instructions burned: 7 (million)
% 0.14/0.49 % (15789)------------------------------
% 0.14/0.49 % (15789)------------------------------
% 0.14/0.49 % (15804)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.14/0.51 TRYING [2]
% 0.14/0.52 % (15795)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.52 % (15786)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.52 % (15793)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.52 % (15811)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.14/0.53 % (15796)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.53 TRYING [3]
% 0.14/0.53 % (15810)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.54 % (15802)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.14/0.54 % (15803)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.55 % (15788)Instruction limit reached!
% 0.14/0.55 % (15788)------------------------------
% 0.14/0.55 % (15788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.56 % (15788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.56 % (15788)Termination reason: Unknown
% 0.14/0.56 % (15788)Termination phase: Finite model building constraint generation
% 0.14/0.56
% 0.14/0.56 % (15788)Memory used [KB]: 8059
% 0.14/0.56 % (15788)Time elapsed: 0.162 s
% 0.14/0.56 % (15788)Instructions burned: 52 (million)
% 0.14/0.56 % (15788)------------------------------
% 0.14/0.56 % (15788)------------------------------
% 0.14/0.56 % (15792)Instruction limit reached!
% 0.14/0.56 % (15792)------------------------------
% 0.14/0.56 % (15792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.56 % (15785)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.56 % (15787)Instruction limit reached!
% 0.14/0.56 % (15787)------------------------------
% 0.14/0.56 % (15787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.56 % (15787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.56 % (15787)Termination reason: Unknown
% 0.14/0.56 % (15787)Termination phase: Saturation
% 0.14/0.56
% 0.14/0.56 % (15787)Memory used [KB]: 6012
% 0.14/0.56 % (15787)Time elapsed: 0.206 s
% 0.14/0.56 % (15787)Instructions burned: 49 (million)
% 0.14/0.56 % (15787)------------------------------
% 0.14/0.56 % (15787)------------------------------
% 0.14/0.57 % (15792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.57 % (15792)Termination reason: Unknown
% 0.14/0.57 % (15792)Termination phase: Saturation
% 0.14/0.57
% 0.14/0.57 % (15792)Memory used [KB]: 6268
% 0.14/0.57 % (15792)Time elapsed: 0.197 s
% 0.14/0.57 % (15792)Instructions burned: 50 (million)
% 0.14/0.57 % (15792)------------------------------
% 0.14/0.57 % (15792)------------------------------
% 0.14/0.57 % (15783)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.58 % (15799)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.14/0.58 % (15808)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.58 % (15800)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.59 % (15790)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.59 % (15790)Instruction limit reached!
% 0.14/0.59 % (15790)------------------------------
% 0.14/0.59 % (15790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.59 % (15790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.59 % (15790)Termination reason: Unknown
% 0.14/0.59 % (15790)Termination phase: Unused predicate definition removal
% 0.14/0.59
% 0.14/0.59 % (15790)Memory used [KB]: 895
% 0.14/0.59 % (15790)Time elapsed: 0.002 s
% 0.14/0.59 % (15790)Instructions burned: 2 (million)
% 0.14/0.59 % (15790)------------------------------
% 0.14/0.59 % (15790)------------------------------
% 0.14/0.59 % (15807)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.14/0.60 % (15791)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.60 % (15783)Refutation not found, incomplete strategy% (15783)------------------------------
% 0.14/0.60 % (15783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.60 % (15783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.60 % (15783)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.60
% 0.14/0.60 % (15783)Memory used [KB]: 5628
% 0.14/0.60 % (15783)Time elapsed: 0.228 s
% 0.14/0.60 % (15783)Instructions burned: 8 (million)
% 0.14/0.60 % (15783)------------------------------
% 0.14/0.60 % (15783)------------------------------
% 0.14/0.61 % (15784)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.62 TRYING [1]
% 0.14/0.62 TRYING [2]
% 2.31/0.62 % (15782)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.31/0.64 % (15797)Instruction limit reached!
% 2.31/0.64 % (15797)------------------------------
% 2.31/0.64 % (15797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.64 % (15797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.64 % (15797)Termination reason: Unknown
% 2.31/0.64 % (15797)Termination phase: Saturation
% 2.31/0.64
% 2.31/0.64 % (15797)Memory used [KB]: 2046
% 2.31/0.64 % (15797)Time elapsed: 0.272 s
% 2.31/0.64 % (15797)Instructions burned: 75 (million)
% 2.31/0.64 % (15797)------------------------------
% 2.31/0.64 % (15797)------------------------------
% 2.31/0.64 % (15801)Instruction limit reached!
% 2.31/0.64 % (15801)------------------------------
% 2.31/0.64 % (15801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.64 % (15801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.64 % (15801)Termination reason: Unknown
% 2.31/0.64 % (15801)Termination phase: Saturation
% 2.31/0.64
% 2.31/0.64 % (15801)Memory used [KB]: 2046
% 2.31/0.64 % (15801)Time elapsed: 0.270 s
% 2.31/0.64 % (15801)Instructions burned: 101 (million)
% 2.31/0.64 % (15801)------------------------------
% 2.31/0.64 % (15801)------------------------------
% 2.57/0.66 % (15786)Instruction limit reached!
% 2.57/0.66 % (15786)------------------------------
% 2.57/0.66 % (15786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.66 % (15786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.66 % (15786)Termination reason: Unknown
% 2.57/0.66 % (15786)Termination phase: Saturation
% 2.57/0.66
% 2.57/0.66 % (15786)Memory used [KB]: 6524
% 2.57/0.66 % (15786)Time elapsed: 0.294 s
% 2.57/0.66 % (15786)Instructions burned: 51 (million)
% 2.57/0.66 % (15786)------------------------------
% 2.57/0.66 % (15786)------------------------------
% 2.57/0.66 % (15794)Instruction limit reached!
% 2.57/0.66 % (15794)------------------------------
% 2.57/0.66 % (15794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.66 % (15794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.66 % (15794)Termination reason: Unknown
% 2.57/0.66 % (15794)Termination phase: Saturation
% 2.57/0.66
% 2.57/0.66 % (15794)Memory used [KB]: 6652
% 2.57/0.66 % (15794)Time elapsed: 0.286 s
% 2.57/0.66 % (15794)Instructions burned: 102 (million)
% 2.57/0.66 % (15794)------------------------------
% 2.57/0.66 % (15794)------------------------------
% 2.57/0.67 % (15798)Instruction limit reached!
% 2.57/0.67 % (15798)------------------------------
% 2.57/0.67 % (15798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.67 % (15798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.67 % (15798)Termination reason: Unknown
% 2.57/0.67 % (15798)Termination phase: Saturation
% 2.57/0.67
% 2.57/0.67 % (15798)Memory used [KB]: 6652
% 2.57/0.67 % (15798)Time elapsed: 0.303 s
% 2.57/0.67 % (15798)Instructions burned: 99 (million)
% 2.57/0.67 % (15798)------------------------------
% 2.57/0.67 % (15798)------------------------------
% 2.57/0.67 TRYING [1]
% 2.57/0.67 TRYING [2]
% 2.57/0.68 % (15812)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.57/0.69 TRYING [3]
% 2.95/0.72 % (15785)Instruction limit reached!
% 2.95/0.72 % (15785)------------------------------
% 2.95/0.72 % (15785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.72 % (15796)Instruction limit reached!
% 2.95/0.72 % (15796)------------------------------
% 2.95/0.72 % (15796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.72 % (15799)Instruction limit reached!
% 2.95/0.72 % (15799)------------------------------
% 2.95/0.72 % (15799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.72 % (15796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.72 % (15799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.72 % (15799)Termination reason: Unknown
% 2.95/0.72 % (15796)Termination reason: Unknown
% 2.95/0.72 % (15796)Termination phase: Saturation
% 2.95/0.72 % (15799)Termination phase: Finite model building constraint generation
% 2.95/0.72
% 2.95/0.72
% 2.95/0.72 % (15796)Memory used [KB]: 6780
% 2.95/0.72 % (15796)Time elapsed: 0.053 s
% 2.95/0.72 % (15796)Instructions burned: 68 (million)
% 2.95/0.72 % (15796)------------------------------
% 2.95/0.72 % (15796)------------------------------
% 2.95/0.72 TRYING [3]
% 2.95/0.72 % (15784)Instruction limit reached!
% 2.95/0.72 % (15784)------------------------------
% 2.95/0.72 % (15784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.72 % (15784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.72 % (15784)Termination reason: Unknown
% 2.95/0.72 % (15784)Termination phase: Saturation
% 2.95/0.72
% 2.95/0.72 % (15784)Memory used [KB]: 1535
% 2.95/0.72 % (15784)Time elapsed: 0.328 s
% 2.95/0.72 % (15784)Instructions burned: 37 (million)
% 2.95/0.72 % (15784)------------------------------
% 2.95/0.72 % (15784)------------------------------
% 2.95/0.73 % (15785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.73 % (15785)Termination reason: Unknown
% 2.95/0.73 % (15785)Termination phase: Saturation
% 2.95/0.73
% 2.95/0.73 % (15785)Memory used [KB]: 6268
% 2.95/0.73 % (15785)Time elapsed: 0.352 s
% 2.95/0.73 % (15785)Instructions burned: 51 (million)
% 2.95/0.73 % (15785)------------------------------
% 2.95/0.73 % (15785)------------------------------
% 2.95/0.74 % (15799)Memory used [KB]: 8059
% 2.95/0.74 % (15799)Time elapsed: 0.292 s
% 2.95/0.74 % (15799)Instructions burned: 59 (million)
% 2.95/0.74 % (15799)------------------------------
% 2.95/0.74 % (15799)------------------------------
% 2.95/0.74 % (15809)Instruction limit reached!
% 2.95/0.74 % (15809)------------------------------
% 2.95/0.74 % (15809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.74 % (15809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.74 % (15809)Termination reason: Unknown
% 2.95/0.74 % (15809)Termination phase: Saturation
% 2.95/0.74
% 2.95/0.74 % (15809)Memory used [KB]: 3198
% 2.95/0.74 % (15809)Time elapsed: 0.364 s
% 2.95/0.74 % (15809)Instructions burned: 177 (million)
% 2.95/0.74 % (15809)------------------------------
% 2.95/0.74 % (15809)------------------------------
% 2.95/0.75 % (15814)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.31/0.76 % (15819)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.31/0.76 % (15791)Instruction limit reached!
% 3.31/0.76 % (15791)------------------------------
% 3.31/0.76 % (15791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.76 % (15791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.76 % (15791)Termination reason: Unknown
% 3.31/0.76 % (15791)Termination phase: Saturation
% 3.31/0.76
% 3.31/0.76 % (15791)Memory used [KB]: 2302
% 3.31/0.76 % (15791)Time elapsed: 0.395 s
% 3.31/0.76 % (15791)Instructions burned: 51 (million)
% 3.31/0.76 % (15791)------------------------------
% 3.31/0.76 % (15791)------------------------------
% 3.31/0.77 % (15793)Instruction limit reached!
% 3.31/0.77 % (15793)------------------------------
% 3.31/0.77 % (15793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.77 % (15793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.77 % (15793)Termination reason: Unknown
% 3.31/0.77 % (15793)Termination phase: Saturation
% 3.31/0.77
% 3.31/0.77 % (15793)Memory used [KB]: 6780
% 3.31/0.77 % (15793)Time elapsed: 0.391 s
% 3.31/0.77 % (15793)Instructions burned: 100 (million)
% 3.31/0.77 % (15793)------------------------------
% 3.31/0.77 % (15793)------------------------------
% 3.31/0.78 % (15813)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.31/0.79 % (15808)Instruction limit reached!
% 3.31/0.79 % (15808)------------------------------
% 3.31/0.79 % (15808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.79 % (15808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.79 % (15808)Termination reason: Unknown
% 3.31/0.79 % (15808)Termination phase: Saturation
% 3.31/0.79
% 3.31/0.79 % (15808)Memory used [KB]: 6652
% 3.31/0.79 % (15808)Time elapsed: 0.053 s
% 3.31/0.79 % (15808)Instructions burned: 68 (million)
% 3.31/0.79 % (15808)------------------------------
% 3.31/0.79 % (15808)------------------------------
% 3.31/0.81 % (15815)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.31/0.81 % (15795)Instruction limit reached!
% 3.31/0.81 % (15795)------------------------------
% 3.31/0.81 % (15795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.81 % (15795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.81 % (15795)Termination reason: Unknown
% 3.31/0.81 % (15795)Termination phase: Saturation
% 3.31/0.81
% 3.31/0.81 % (15795)Memory used [KB]: 6524
% 3.31/0.81 % (15795)Time elapsed: 0.425 s
% 3.31/0.81 % (15795)Instructions burned: 99 (million)
% 3.31/0.81 % (15795)------------------------------
% 3.31/0.81 % (15795)------------------------------
% 3.31/0.83 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.31/0.83 % (15821)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.72/0.85 % (15822)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.72/0.86 % (15819)Instruction limit reached!
% 3.72/0.86 % (15819)------------------------------
% 3.72/0.86 % (15819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.72/0.86 % (15819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.72/0.86 % (15819)Termination reason: Unknown
% 3.72/0.86 % (15819)Termination phase: Saturation
% 3.72/0.86
% 3.72/0.86 % (15819)Memory used [KB]: 6652
% 3.72/0.86 % (15819)Time elapsed: 0.098 s
% 3.72/0.86 % (15819)Instructions burned: 69 (million)
% 3.72/0.86 % (15819)------------------------------
% 3.72/0.86 % (15819)------------------------------
% 3.72/0.86 % (15818)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.72/0.86 % (15827)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.72/0.89 % (15800)Instruction limit reached!
% 3.72/0.89 % (15800)------------------------------
% 3.72/0.89 % (15800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.72/0.89 % (15800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.72/0.89 % (15800)Termination reason: Unknown
% 3.72/0.89 % (15800)Termination phase: Saturation
% 3.72/0.89
% 3.72/0.89 % (15800)Memory used [KB]: 6908
% 3.72/0.89 % (15800)Time elapsed: 0.506 s
% 3.72/0.89 % (15800)Instructions burned: 100 (million)
% 3.72/0.89 % (15800)------------------------------
% 3.72/0.89 % (15800)------------------------------
% 3.99/0.89 % (15817)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 3.99/0.89 % (15816)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.99/0.90 % (15803)Instruction limit reached!
% 3.99/0.90 % (15803)------------------------------
% 3.99/0.90 % (15803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.99/0.90 % (15803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.99/0.90 % (15803)Termination reason: Unknown
% 3.99/0.90 % (15803)Termination phase: Saturation
% 3.99/0.90
% 3.99/0.90 % (15803)Memory used [KB]: 7419
% 3.99/0.90 % (15803)Time elapsed: 0.534 s
% 3.99/0.90 % (15803)Instructions burned: 138 (million)
% 3.99/0.90 % (15803)------------------------------
% 3.99/0.90 % (15803)------------------------------
% 3.99/0.90 % (15820)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.99/0.91 % (15814)Instruction limit reached!
% 3.99/0.91 % (15814)------------------------------
% 3.99/0.91 % (15814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.99/0.91 % (15814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.99/0.91 % (15814)Termination reason: Unknown
% 3.99/0.91 % (15814)Termination phase: Saturation
% 3.99/0.91
% 3.99/0.91 % (15814)Memory used [KB]: 7419
% 3.99/0.91 % (15814)Time elapsed: 0.300 s
% 3.99/0.91 % (15814)Instructions burned: 90 (million)
% 3.99/0.91 % (15814)------------------------------
% 3.99/0.91 % (15814)------------------------------
% 4.18/0.97 % (15823)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 4.18/0.98 % (15802)Instruction limit reached!
% 4.18/0.98 % (15802)------------------------------
% 4.18/0.98 % (15802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.18/0.98 % (15802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.18/0.98 % (15802)Termination reason: Unknown
% 4.18/0.98 % (15802)Termination phase: Saturation
% 4.18/0.98
% 4.18/0.98 % (15802)Memory used [KB]: 7675
% 4.18/0.98 % (15802)Time elapsed: 0.583 s
% 4.18/0.98 % (15802)Instructions burned: 177 (million)
% 4.18/0.98 % (15802)------------------------------
% 4.18/0.98 % (15802)------------------------------
% 4.18/0.99 % (15832)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 4.38/1.02 % (15822)Instruction limit reached!
% 4.38/1.02 % (15822)------------------------------
% 4.38/1.02 % (15822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.38/1.02 % (15822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.38/1.02 % (15822)Termination reason: Unknown
% 4.38/1.02 % (15822)Termination phase: Saturation
% 4.38/1.02
% 4.38/1.02 % (15822)Memory used [KB]: 7291
% 4.38/1.02 % (15822)Time elapsed: 0.298 s
% 4.38/1.02 % (15822)Instructions burned: 90 (million)
% 4.38/1.02 % (15822)------------------------------
% 4.38/1.02 % (15822)------------------------------
% 4.38/1.02 % (15829)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 4.38/1.03 % (15825)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 4.38/1.04 % (15831)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 4.38/1.05 % (15824)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.38/1.05 % (15826)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 4.38/1.06 % (15828)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 4.64/1.09 % (15830)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 4.64/1.09 % (15835)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 4.64/1.14 % (15834)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 6.68/1.20 % (15829)Instruction limit reached!
% 6.68/1.20 % (15829)------------------------------
% 6.68/1.20 % (15829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.68/1.20 % (15829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.68/1.20 % (15829)Termination reason: Unknown
% 6.68/1.20 % (15829)Termination phase: Saturation
% 6.68/1.20
% 6.68/1.20 % (15829)Memory used [KB]: 6652
% 6.68/1.20 % (15829)Time elapsed: 0.053 s
% 6.68/1.20 % (15829)Instructions burned: 68 (million)
% 6.68/1.20 % (15829)------------------------------
% 6.68/1.20 % (15829)------------------------------
% 6.68/1.20 % (15837)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9965Mi)
% 7.08/1.23 % (15836)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 7.08/1.24 % (15833)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 7.41/1.28 % (15804)Instruction limit reached!
% 7.41/1.28 % (15804)------------------------------
% 7.41/1.28 % (15804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.41/1.28 % (15804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.41/1.28 % (15804)Termination reason: Unknown
% 7.41/1.28 % (15804)Termination phase: Saturation
% 7.41/1.28
% 7.41/1.28 % (15804)Memory used [KB]: 3837
% 7.41/1.28 % (15804)Time elapsed: 0.902 s
% 7.41/1.28 % (15804)Instructions burned: 498 (million)
% 7.41/1.28 % (15804)------------------------------
% 7.41/1.28 % (15804)------------------------------
% 7.41/1.32 % (15813)Instruction limit reached!
% 7.41/1.32 % (15813)------------------------------
% 7.41/1.32 % (15813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.41/1.32 % (15813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.41/1.32 % (15813)Termination reason: Unknown
% 7.41/1.32 % (15813)Termination phase: Saturation
% 7.41/1.32
% 7.41/1.32 % (15813)Memory used [KB]: 5500
% 7.41/1.32 % (15813)Time elapsed: 0.697 s
% 7.41/1.32 % (15813)Instructions burned: 211 (million)
% 7.41/1.32 % (15813)------------------------------
% 7.41/1.32 % (15813)------------------------------
% 8.23/1.38 % (15806)Instruction limit reached!
% 8.23/1.38 % (15806)------------------------------
% 8.23/1.38 % (15806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.23/1.38 % (15806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.23/1.38 % (15806)Termination reason: Unknown
% 8.23/1.38 % (15806)Termination phase: Saturation
% 8.23/1.38
% 8.23/1.38 % (15806)Memory used [KB]: 10234
% 8.23/1.38 % (15806)Time elapsed: 1.002 s
% 8.23/1.38 % (15806)Instructions burned: 483 (million)
% 8.23/1.38 % (15806)------------------------------
% 8.23/1.38 % (15806)------------------------------
% 8.23/1.39 % (15812)Instruction limit reached!
% 8.23/1.39 % (15812)------------------------------
% 8.23/1.39 % (15812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.23/1.39 % (15812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.23/1.39 % (15812)Termination reason: Unknown
% 8.23/1.39 % (15812)Termination phase: Saturation
% 8.23/1.39
% 8.23/1.39 % (15812)Memory used [KB]: 9338
% 8.23/1.39 % (15812)Time elapsed: 0.827 s
% 8.23/1.39 % (15812)Instructions burned: 388 (million)
% 8.23/1.39 % (15812)------------------------------
% 8.23/1.39 % (15812)------------------------------
% 8.23/1.39 % (15834)Instruction limit reached!
% 8.23/1.39 % (15834)------------------------------
% 8.23/1.39 % (15834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.23/1.39 % (15834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.23/1.39 % (15834)Termination reason: Unknown
% 8.23/1.39 % (15834)Termination phase: Saturation
% 8.23/1.39
% 8.23/1.39 % (15834)Memory used [KB]: 7036
% 8.23/1.39 % (15834)Time elapsed: 0.433 s
% 8.23/1.39 % (15834)Instructions burned: 91 (million)
% 8.23/1.39 % (15834)------------------------------
% 8.23/1.39 % (15834)------------------------------
% 8.74/1.47 % (15839)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9902Mi)
% 8.74/1.49 % (15811)Instruction limit reached!
% 8.74/1.49 % (15811)------------------------------
% 8.74/1.49 % (15811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.74/1.49 % (15811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.74/1.49 % (15811)Termination reason: Unknown
% 8.74/1.49 % (15811)Termination phase: Saturation
% 8.74/1.49
% 8.74/1.49 % (15811)Memory used [KB]: 10106
% 8.74/1.49 % (15811)Time elapsed: 1.123 s
% 8.74/1.49 % (15811)Instructions burned: 356 (million)
% 8.74/1.49 % (15811)------------------------------
% 8.74/1.49 % (15811)------------------------------
% 8.74/1.50 % (15838)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9877Mi)
% 9.20/1.56 % (15841)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 9.47/1.57 % (15842)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 9.47/1.57 % (15805)Instruction limit reached!
% 9.47/1.57 % (15805)------------------------------
% 9.47/1.57 % (15805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.47/1.57 % (15805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.47/1.57 % (15805)Termination reason: Unknown
% 9.47/1.57 % (15805)Termination phase: Saturation
% 9.47/1.57
% 9.47/1.57 % (15805)Memory used [KB]: 9722
% 9.47/1.57 % (15805)Time elapsed: 1.197 s
% 9.47/1.57 % (15805)Instructions burned: 467 (million)
% 9.47/1.57 % (15805)------------------------------
% 9.47/1.57 % (15805)------------------------------
% 9.47/1.60 % (15843)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 9.47/1.61 % (15840)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1824Mi)
% 9.47/1.63 % (15810)Instruction limit reached!
% 9.47/1.63 % (15810)------------------------------
% 9.47/1.63 % (15810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.47/1.63 % (15810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.47/1.63 % (15810)Termination reason: Unknown
% 9.47/1.63 % (15810)Termination phase: Saturation
% 9.47/1.63
% 9.47/1.63 % (15810)Memory used [KB]: 11257
% 9.47/1.63 % (15810)Time elapsed: 1.251 s
% 9.47/1.63 % (15810)Instructions burned: 439 (million)
% 9.47/1.63 % (15810)------------------------------
% 9.47/1.63 % (15810)------------------------------
% 12.18/1.88 % (15843)Instruction limit reached!
% 12.18/1.88 % (15843)------------------------------
% 12.18/1.88 % (15843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.18/1.88 % (15843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.18/1.88 % (15843)Termination reason: Unknown
% 12.18/1.88 % (15843)Termination phase: Saturation
% 12.18/1.88
% 12.18/1.88 % (15843)Memory used [KB]: 7419
% 12.18/1.88 % (15843)Time elapsed: 0.431 s
% 12.18/1.88 % (15843)Instructions burned: 90 (million)
% 12.18/1.88 % (15843)------------------------------
% 12.18/1.88 % (15843)------------------------------
% 12.18/1.88 % (15846)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4958Mi)
% 12.18/1.91 % (15847)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/35256Mi)
% 12.56/1.92 % (15845)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/44001Mi)
% 13.80/2.12 % (15818)Instruction limit reached!
% 13.80/2.12 % (15818)------------------------------
% 13.80/2.12 % (15818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.80/2.12 % (15818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.80/2.12 % (15818)Termination reason: Unknown
% 13.80/2.12 % (15818)Termination phase: Saturation
% 13.80/2.12
% 13.80/2.12 % (15818)Memory used [KB]: 4349
% 13.80/2.12 % (15818)Time elapsed: 1.434 s
% 13.80/2.12 % (15818)Instructions burned: 655 (million)
% 13.80/2.12 % (15818)------------------------------
% 13.80/2.12 % (15818)------------------------------
% 14.32/2.16 % (15807)Instruction limit reached!
% 14.32/2.16 % (15807)------------------------------
% 14.32/2.16 % (15807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.32/2.16 % (15807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.32/2.16 % (15807)Termination reason: Unknown
% 14.32/2.16 % (15807)Termination phase: Saturation
% 14.32/2.16
% 14.32/2.16 % (15807)Memory used [KB]: 10490
% 14.32/2.16 % (15807)Time elapsed: 1.739 s
% 14.32/2.16 % (15807)Instructions burned: 500 (million)
% 14.32/2.16 % (15807)------------------------------
% 14.32/2.16 % (15807)------------------------------
% 14.52/2.17 % (15849)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/32293Mi)
% 14.92/2.28 TRYING [4]
% 15.36/2.30 % (15850)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/37001Mi)
% 16.78/2.52 % (15851)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/10187Mi)
% 18.48/2.67 % (15815)Instruction limit reached!
% 18.48/2.67 % (15815)------------------------------
% 18.48/2.67 % (15815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.48/2.67 % (15815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.48/2.67 % (15815)Termination reason: Unknown
% 18.48/2.67 % (15815)Termination phase: Saturation
% 18.48/2.67
% 18.48/2.67 % (15815)Memory used [KB]: 14839
% 18.48/2.67 % (15815)Time elapsed: 2.051 s
% 18.48/2.67 % (15815)Instructions burned: 920 (million)
% 18.48/2.67 % (15815)------------------------------
% 18.48/2.67 % (15815)------------------------------
% 18.48/2.71 % (15821)Instruction limit reached!
% 18.48/2.71 % (15821)------------------------------
% 18.48/2.71 % (15821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.48/2.71 % (15821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.48/2.71 % (15821)Termination reason: Unknown
% 18.48/2.71 % (15821)Termination phase: Saturation
% 18.48/2.71
% 18.48/2.71 % (15821)Memory used [KB]: 22387
% 18.48/2.71 % (15821)Time elapsed: 1.968 s
% 18.48/2.71 % (15821)Instructions burned: 982 (million)
% 18.48/2.71 % (15821)------------------------------
% 18.48/2.71 % (15821)------------------------------
% 19.78/2.88 % (15853)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/29337Mi)
% 19.78/2.92 % (15854)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/10147Mi)
% 22.70/3.25 % (15820)Instruction limit reached!
% 22.70/3.25 % (15820)------------------------------
% 22.70/3.25 % (15820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.70/3.25 % (15820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.70/3.25 % (15820)Termination reason: Unknown
% 22.70/3.25 % (15820)Termination phase: Saturation
% 22.70/3.25
% 22.70/3.25 % (15820)Memory used [KB]: 13944
% 22.70/3.25 % (15820)Time elapsed: 2.542 s
% 22.70/3.25 % (15820)Instructions burned: 941 (million)
% 22.70/3.25 % (15820)------------------------------
% 22.70/3.25 % (15820)------------------------------
% 23.66/3.31 % (15817)Instruction limit reached!
% 23.66/3.31 % (15817)------------------------------
% 23.66/3.31 % (15817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.66/3.31 % (15817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.66/3.31 % (15817)Termination reason: Unknown
% 23.66/3.31 % (15817)Termination phase: Saturation
% 23.66/3.31
% 23.66/3.31 % (15817)Memory used [KB]: 11129
% 23.66/3.31 % (15817)Time elapsed: 2.658 s
% 23.66/3.31 % (15817)Instructions burned: 748 (million)
% 23.66/3.31 % (15817)------------------------------
% 23.66/3.31 % (15817)------------------------------
% 25.25/3.52 % (15855)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/38056Mi)
% 25.25/3.55 TRYING [1]
% 25.25/3.55 TRYING [2]
% 25.25/3.58 TRYING [3]
% 26.79/3.72 % (15816)Instruction limit reached!
% 26.79/3.72 % (15816)------------------------------
% 26.79/3.72 % (15816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.79/3.72 % (15816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.79/3.72 % (15816)Termination reason: Unknown
% 26.79/3.72 % (15816)Termination phase: Saturation
% 26.79/3.72
% 26.79/3.72 % (15816)Memory used [KB]: 13048
% 26.79/3.72 % (15816)Time elapsed: 3.054 s
% 26.79/3.72 % (15816)Instructions burned: 934 (million)
% 26.79/3.72 % (15816)------------------------------
% 26.79/3.72 % (15816)------------------------------
% 26.79/3.74 % (15856)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/33239Mi)
% 27.44/3.80 TRYING [1]
% 27.44/3.80 TRYING [2]
% 27.44/3.83 % (15849)First to succeed.
% 27.44/3.86 % (15849)Refutation found. Thanks to Tanya!
% 27.44/3.86 % SZS status Theorem for theBenchmark
% 27.44/3.86 % SZS output start Proof for theBenchmark
% See solution above
% 27.44/3.86 % (15849)------------------------------
% 27.44/3.86 % (15849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.44/3.86 % (15849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.44/3.86 % (15849)Termination reason: Refutation
% 27.44/3.86
% 27.44/3.86 % (15849)Memory used [KB]: 9210
% 27.44/3.86 % (15849)Time elapsed: 1.863 s
% 27.44/3.86 % (15849)Instructions burned: 686 (million)
% 27.44/3.86 % (15849)------------------------------
% 27.44/3.86 % (15849)------------------------------
% 27.44/3.86 % (15781)Success in time 3.54 s
%------------------------------------------------------------------------------