TSTP Solution File: SEU358+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU358+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:29:12 EDT 2022
% Result : Theorem 7.00s 1.27s
% Output : Refutation 7.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 80
% Number of leaves : 48
% Syntax : Number of formulae : 548 ( 26 unt; 0 def)
% Number of atoms : 3087 ( 246 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 4399 (1860 ~;2040 |; 348 &)
% ( 56 <=>; 95 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 9 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 2 con; 0-3 aty)
% Number of variables : 1077 (1028 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1976,plain,
$false,
inference(avatar_sat_refutation,[],[f503,f620,f635,f656,f727,f796,f804,f1794,f1968]) ).
fof(f1968,plain,
( spl29_2
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(avatar_contradiction_clause,[],[f1967]) ).
fof(f1967,plain,
( $false
| spl29_2
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(trivial_inequality_removal,[],[f1963]) ).
fof(f1963,plain,
( join_of_latt_set(sK19,sK20) != join_of_latt_set(sK19,sK20)
| spl29_2
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(superposition,[],[f502,f1889]) ).
fof(f1889,plain,
( ! [X1] : join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X1)
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1888,f1034]) ).
fof(f1034,plain,
! [X15] : element(join_on_relstr(poset_of_lattice(sK19),X15),the_carrier(sK19)),
inference(subsumption_resolution,[],[f1003,f561]) ).
fof(f561,plain,
rel_str(poset_of_lattice(sK19)),
inference(subsumption_resolution,[],[f560,f411]) ).
fof(f411,plain,
~ empty_carrier(sK19),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
( complete_latt_str(sK19)
& latt_str(sK19)
& lattice(sK19)
& ~ empty_carrier(sK19)
& ( join_of_latt_set(sK19,sK20) != join_on_relstr(poset_of_lattice(sK19),sK20)
| meet_on_relstr(poset_of_lattice(sK19),sK20) != meet_of_latt_set(sK19,sK20) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f135,f284,f283]) ).
fof(f283,plain,
( ? [X0] :
( complete_latt_str(X0)
& latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( join_of_latt_set(X0,X1) != join_on_relstr(poset_of_lattice(X0),X1)
| meet_of_latt_set(X0,X1) != meet_on_relstr(poset_of_lattice(X0),X1) ) )
=> ( complete_latt_str(sK19)
& latt_str(sK19)
& lattice(sK19)
& ~ empty_carrier(sK19)
& ? [X1] :
( join_of_latt_set(sK19,X1) != join_on_relstr(poset_of_lattice(sK19),X1)
| meet_on_relstr(poset_of_lattice(sK19),X1) != meet_of_latt_set(sK19,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f284,plain,
( ? [X1] :
( join_of_latt_set(sK19,X1) != join_on_relstr(poset_of_lattice(sK19),X1)
| meet_on_relstr(poset_of_lattice(sK19),X1) != meet_of_latt_set(sK19,X1) )
=> ( join_of_latt_set(sK19,sK20) != join_on_relstr(poset_of_lattice(sK19),sK20)
| meet_on_relstr(poset_of_lattice(sK19),sK20) != meet_of_latt_set(sK19,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
? [X0] :
( complete_latt_str(X0)
& latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( join_of_latt_set(X0,X1) != join_on_relstr(poset_of_lattice(X0),X1)
| meet_of_latt_set(X0,X1) != meet_on_relstr(poset_of_lattice(X0),X1) ) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
? [X0] :
( ? [X1] :
( join_of_latt_set(X0,X1) != join_on_relstr(poset_of_lattice(X0),X1)
| meet_of_latt_set(X0,X1) != meet_on_relstr(poset_of_lattice(X0),X1) )
& ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0)
& latt_str(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0)
& latt_str(X0) )
=> ! [X1] :
( meet_of_latt_set(X0,X1) = meet_on_relstr(poset_of_lattice(X0),X1)
& join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1) ) ),
inference(negated_conjecture,[],[f75]) ).
fof(f75,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0)
& latt_str(X0) )
=> ! [X1] :
( meet_of_latt_set(X0,X1) = meet_on_relstr(poset_of_lattice(X0),X1)
& join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_yellow_0) ).
fof(f560,plain,
( rel_str(poset_of_lattice(sK19))
| empty_carrier(sK19) ),
inference(subsumption_resolution,[],[f525,f413]) ).
fof(f413,plain,
latt_str(sK19),
inference(cnf_transformation,[],[f285]) ).
fof(f525,plain,
( ~ latt_str(sK19)
| rel_str(poset_of_lattice(sK19))
| empty_carrier(sK19) ),
inference(resolution,[],[f412,f430]) ).
fof(f430,plain,
! [X0] :
( ~ lattice(X0)
| rel_str(poset_of_lattice(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ( reflexive_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) ) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( reflexive_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> ( reflexive_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_lattice3) ).
fof(f412,plain,
lattice(sK19),
inference(cnf_transformation,[],[f285]) ).
fof(f1003,plain,
! [X15] :
( ~ rel_str(poset_of_lattice(sK19))
| element(join_on_relstr(poset_of_lattice(sK19),X15),the_carrier(sK19)) ),
inference(superposition,[],[f441,f964]) ).
fof(f964,plain,
the_carrier(poset_of_lattice(sK19)) = the_carrier(sK19),
inference(trivial_inequality_removal,[],[f962]) ).
fof(f962,plain,
( poset_of_lattice(sK19) != poset_of_lattice(sK19)
| the_carrier(poset_of_lattice(sK19)) = the_carrier(sK19) ),
inference(superposition,[],[f891,f637]) ).
fof(f637,plain,
rel_str_of(the_carrier(poset_of_lattice(sK19)),the_InternalRel(poset_of_lattice(sK19))) = poset_of_lattice(sK19),
inference(subsumption_resolution,[],[f636,f561]) ).
fof(f636,plain,
( ~ rel_str(poset_of_lattice(sK19))
| rel_str_of(the_carrier(poset_of_lattice(sK19)),the_InternalRel(poset_of_lattice(sK19))) = poset_of_lattice(sK19) ),
inference(resolution,[],[f544,f421]) ).
fof(f421,plain,
! [X0] :
( ~ strict_rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ~ rel_str(X0)
| ~ strict_rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( rel_str(X0)
=> ( strict_rel_str(X0)
=> rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(f544,plain,
strict_rel_str(poset_of_lattice(sK19)),
inference(subsumption_resolution,[],[f543,f413]) ).
fof(f543,plain,
( ~ latt_str(sK19)
| strict_rel_str(poset_of_lattice(sK19)) ),
inference(subsumption_resolution,[],[f514,f411]) ).
fof(f514,plain,
( empty_carrier(sK19)
| ~ latt_str(sK19)
| strict_rel_str(poset_of_lattice(sK19)) ),
inference(resolution,[],[f412,f358]) ).
fof(f358,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| strict_rel_str(poset_of_lattice(X0))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ( ~ empty_carrier(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0)) ) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( ~ empty_carrier(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ( ~ empty_carrier(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice3) ).
fof(f891,plain,
! [X2,X3] :
( rel_str_of(X2,X3) != poset_of_lattice(sK19)
| the_carrier(sK19) = X2 ),
inference(forward_demodulation,[],[f885,f555]) ).
fof(f555,plain,
rel_str_of(the_carrier(sK19),k2_lattice3(sK19)) = poset_of_lattice(sK19),
inference(subsumption_resolution,[],[f554,f413]) ).
fof(f554,plain,
( ~ latt_str(sK19)
| rel_str_of(the_carrier(sK19),k2_lattice3(sK19)) = poset_of_lattice(sK19) ),
inference(subsumption_resolution,[],[f523,f411]) ).
fof(f523,plain,
( empty_carrier(sK19)
| rel_str_of(the_carrier(sK19),k2_lattice3(sK19)) = poset_of_lattice(sK19)
| ~ latt_str(sK19) ),
inference(resolution,[],[f412,f423]) ).
fof(f423,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ~ lattice(X0)
| poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0] :
( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice3) ).
fof(f885,plain,
! [X2,X3] :
( rel_str_of(X2,X3) != rel_str_of(the_carrier(sK19),k2_lattice3(sK19))
| the_carrier(sK19) = X2 ),
inference(resolution,[],[f728,f459]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X0,X1,X1)
| rel_str_of(X2,X3) != rel_str_of(X1,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0,X1] :
( ! [X2,X3] :
( rel_str_of(X2,X3) != rel_str_of(X1,X0)
| ( X1 = X2
& X0 = X3 ) )
| ~ relation_of2(X0,X1,X1) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ! [X3,X2] :
( rel_str_of(X3,X2) != rel_str_of(X1,X0)
| ( X1 = X3
& X0 = X2 ) )
| ~ relation_of2(X0,X1,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( relation_of2(X0,X1,X1)
=> ! [X2,X3] :
( rel_str_of(X3,X2) = rel_str_of(X1,X0)
=> ( X1 = X3
& X0 = X2 ) ) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X1,X0] :
( relation_of2(X1,X0,X0)
=> ! [X3,X2] :
( rel_str_of(X0,X1) = rel_str_of(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f728,plain,
relation_of2(k2_lattice3(sK19),the_carrier(sK19),the_carrier(sK19)),
inference(resolution,[],[f572,f438]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X0,X1,X2)
| ~ relation_of2(X0,X1,X2) )
& ( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ) ),
inference(rectify,[],[f295]) ).
fof(f295,plain,
! [X0,X2,X1] :
( ( relation_of2_as_subset(X0,X2,X1)
| ~ relation_of2(X0,X2,X1) )
& ( relation_of2(X0,X2,X1)
| ~ relation_of2_as_subset(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X2,X1] :
( relation_of2_as_subset(X0,X2,X1)
<=> relation_of2(X0,X2,X1) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X2,X1,X0] :
( relation_of2(X2,X0,X1)
<=> relation_of2_as_subset(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f572,plain,
relation_of2_as_subset(k2_lattice3(sK19),the_carrier(sK19),the_carrier(sK19)),
inference(subsumption_resolution,[],[f571,f413]) ).
fof(f571,plain,
( ~ latt_str(sK19)
| relation_of2_as_subset(k2_lattice3(sK19),the_carrier(sK19),the_carrier(sK19)) ),
inference(subsumption_resolution,[],[f522,f411]) ).
fof(f522,plain,
( empty_carrier(sK19)
| relation_of2_as_subset(k2_lattice3(sK19),the_carrier(sK19),the_carrier(sK19))
| ~ latt_str(sK19) ),
inference(resolution,[],[f412,f420]) ).
fof(f420,plain,
! [X0] :
( ~ lattice(X0)
| relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ( relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& antisymmetric(k2_lattice3(X0))
& reflexive(k2_lattice3(X0))
& transitive(k2_lattice3(X0)) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ( relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& antisymmetric(k2_lattice3(X0))
& reflexive(k2_lattice3(X0))
& transitive(k2_lattice3(X0)) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( lattice(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> ( relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& antisymmetric(k2_lattice3(X0))
& reflexive(k2_lattice3(X0))
& transitive(k2_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_lattice3) ).
fof(f441,plain,
! [X0,X1] :
( element(join_on_relstr(X1,X0),the_carrier(X1))
| ~ rel_str(X1) ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
! [X0,X1] :
( element(join_on_relstr(X1,X0),the_carrier(X1))
| ~ rel_str(X1) ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
! [X1,X0] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( rel_str(X0)
=> element(join_on_relstr(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f1888,plain,
( ! [X1] :
( join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X1)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X1),the_carrier(sK19)) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(forward_demodulation,[],[f1887,f964]) ).
fof(f1887,plain,
( ! [X1] :
( ~ element(join_on_relstr(poset_of_lattice(sK19),X1),the_carrier(poset_of_lattice(sK19)))
| join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X1) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1886,f1413]) ).
fof(f1413,plain,
( ! [X1] : ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1412,f510]) ).
fof(f510,plain,
! [X0] : element(join_of_latt_set(sK19,X0),the_carrier(sK19)),
inference(subsumption_resolution,[],[f504,f413]) ).
fof(f504,plain,
! [X0] :
( ~ latt_str(sK19)
| element(join_of_latt_set(sK19,X0),the_carrier(sK19)) ),
inference(resolution,[],[f411,f474]) ).
fof(f474,plain,
! [X0,X1] :
( empty_carrier(X1)
| element(join_of_latt_set(X1,X0),the_carrier(X1))
| ~ latt_str(X1) ),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0,X1] :
( ~ latt_str(X1)
| element(join_of_latt_set(X1,X0),the_carrier(X1))
| empty_carrier(X1) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X1,X0] :
( ~ latt_str(X0)
| element(join_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( element(join_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& latt_str(X0) )
=> element(join_of_latt_set(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_lattice3) ).
fof(f1412,plain,
( ! [X1] :
( ~ element(join_of_latt_set(sK19,X1),the_carrier(sK19))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1) )
| ~ spl29_8
| ~ spl29_13 ),
inference(forward_demodulation,[],[f1411,f964]) ).
fof(f1411,plain,
( ! [X1] :
( ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ element(join_of_latt_set(sK19,X1),the_carrier(poset_of_lattice(sK19))) )
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1410,f953]) ).
fof(f953,plain,
! [X0] : relstr_set_smaller(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X0)),
inference(subsumption_resolution,[],[f952,f510]) ).
fof(f952,plain,
! [X0] :
( ~ element(join_of_latt_set(sK19,X0),the_carrier(sK19))
| relstr_set_smaller(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X0)) ),
inference(superposition,[],[f876,f566]) ).
fof(f566,plain,
! [X9] :
( cast_to_el_of_LattPOSet(sK19,X9) = X9
| ~ element(X9,the_carrier(sK19)) ),
inference(subsumption_resolution,[],[f565,f413]) ).
fof(f565,plain,
! [X9] :
( ~ element(X9,the_carrier(sK19))
| cast_to_el_of_LattPOSet(sK19,X9) = X9
| ~ latt_str(sK19) ),
inference(subsumption_resolution,[],[f520,f411]) ).
fof(f520,plain,
! [X9] :
( cast_to_el_of_LattPOSet(sK19,X9) = X9
| ~ element(X9,the_carrier(sK19))
| empty_carrier(sK19)
| ~ latt_str(sK19) ),
inference(resolution,[],[f412,f394]) ).
fof(f394,plain,
! [X0,X1] :
( ~ lattice(X0)
| cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 )
| ~ lattice(X0) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 )
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattice3) ).
fof(f876,plain,
! [X0] : relstr_set_smaller(poset_of_lattice(sK19),X0,cast_to_el_of_LattPOSet(sK19,join_of_latt_set(sK19,X0))),
inference(subsumption_resolution,[],[f874,f510]) ).
fof(f874,plain,
! [X0] :
( relstr_set_smaller(poset_of_lattice(sK19),X0,cast_to_el_of_LattPOSet(sK19,join_of_latt_set(sK19,X0)))
| ~ element(join_of_latt_set(sK19,X0),the_carrier(sK19)) ),
inference(resolution,[],[f718,f538]) ).
fof(f538,plain,
! [X10,X11] :
( ~ latt_element_smaller(sK19,X10,X11)
| ~ element(X10,the_carrier(sK19))
| relstr_set_smaller(poset_of_lattice(sK19),X11,cast_to_el_of_LattPOSet(sK19,X10)) ),
inference(subsumption_resolution,[],[f537,f413]) ).
fof(f537,plain,
! [X10,X11] :
( ~ latt_str(sK19)
| ~ latt_element_smaller(sK19,X10,X11)
| relstr_set_smaller(poset_of_lattice(sK19),X11,cast_to_el_of_LattPOSet(sK19,X10))
| ~ element(X10,the_carrier(sK19)) ),
inference(subsumption_resolution,[],[f527,f411]) ).
fof(f527,plain,
! [X10,X11] :
( ~ latt_element_smaller(sK19,X10,X11)
| relstr_set_smaller(poset_of_lattice(sK19),X11,cast_to_el_of_LattPOSet(sK19,X10))
| empty_carrier(sK19)
| ~ element(X10,the_carrier(sK19))
| ~ latt_str(sK19) ),
inference(resolution,[],[f412,f436]) ).
fof(f436,plain,
! [X2,X0,X1] :
( ~ lattice(X1)
| ~ latt_element_smaller(X1,X2,X0)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0,X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X1))
| ( ( latt_element_smaller(X1,X2,X0)
| ~ relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_element_smaller(X1,X2,X0) ) ) )
| ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1) ),
inference(rectify,[],[f293]) ).
fof(f293,plain,
! [X1,X0] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( ( latt_element_smaller(X0,X2,X1)
| ~ relstr_set_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) )
& ( relstr_set_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| ~ latt_element_smaller(X0,X2,X1) ) ) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X1,X0] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( latt_element_smaller(X0,X2,X1)
<=> relstr_set_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) ) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( latt_element_smaller(X0,X2,X1)
<=> relstr_set_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) ) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( lattice(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( latt_element_smaller(X0,X2,X1)
<=> relstr_set_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) ) ) ),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X1,X0] :
( ( latt_str(X1)
& ~ empty_carrier(X1)
& lattice(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
<=> latt_element_smaller(X1,X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_lattice3) ).
fof(f718,plain,
! [X0] : latt_element_smaller(sK19,join_of_latt_set(sK19,X0),X0),
inference(subsumption_resolution,[],[f717,f414]) ).
fof(f414,plain,
complete_latt_str(sK19),
inference(cnf_transformation,[],[f285]) ).
fof(f717,plain,
! [X0] :
( latt_element_smaller(sK19,join_of_latt_set(sK19,X0),X0)
| ~ complete_latt_str(sK19) ),
inference(subsumption_resolution,[],[f716,f411]) ).
fof(f716,plain,
! [X0] :
( empty_carrier(sK19)
| ~ complete_latt_str(sK19)
| latt_element_smaller(sK19,join_of_latt_set(sK19,X0),X0) ),
inference(subsumption_resolution,[],[f715,f413]) ).
fof(f715,plain,
! [X0] :
( ~ latt_str(sK19)
| latt_element_smaller(sK19,join_of_latt_set(sK19,X0),X0)
| ~ complete_latt_str(sK19)
| empty_carrier(sK19) ),
inference(subsumption_resolution,[],[f713,f412]) ).
fof(f713,plain,
! [X0] :
( ~ lattice(sK19)
| latt_element_smaller(sK19,join_of_latt_set(sK19,X0),X0)
| ~ complete_latt_str(sK19)
| empty_carrier(sK19)
| ~ latt_str(sK19) ),
inference(resolution,[],[f510,f492]) ).
fof(f492,plain,
! [X2,X0] :
( ~ element(join_of_latt_set(X0,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| latt_element_smaller(X0,join_of_latt_set(X0,X2),X2) ),
inference(duplicate_literal_removal,[],[f488]) ).
fof(f488,plain,
! [X2,X0] :
( ~ element(join_of_latt_set(X0,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| latt_element_smaller(X0,join_of_latt_set(X0,X2),X2) ),
inference(equality_resolution,[],[f449]) ).
fof(f449,plain,
! [X2,X0,X1] :
( ~ lattice(X0)
| latt_element_smaller(X0,X1,X2)
| join_of_latt_set(X0,X2) != X1
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0] :
( ~ lattice(X0)
| ! [X1,X2] :
( ( ( join_of_latt_set(X0,X2) = X1
| ~ latt_element_smaller(X0,X1,X2)
| ( ~ below(X0,X1,sK26(X0,X1,X2))
& latt_element_smaller(X0,sK26(X0,X1,X2),X2)
& element(sK26(X0,X1,X2),the_carrier(X0)) ) )
& ( ( latt_element_smaller(X0,X1,X2)
& ! [X4] :
( below(X0,X1,X4)
| ~ latt_element_smaller(X0,X4,X2)
| ~ element(X4,the_carrier(X0)) ) )
| join_of_latt_set(X0,X2) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f308,f309]) ).
fof(f309,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ below(X0,X1,X3)
& latt_element_smaller(X0,X3,X2)
& element(X3,the_carrier(X0)) )
=> ( ~ below(X0,X1,sK26(X0,X1,X2))
& latt_element_smaller(X0,sK26(X0,X1,X2),X2)
& element(sK26(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ~ lattice(X0)
| ! [X1,X2] :
( ( ( join_of_latt_set(X0,X2) = X1
| ~ latt_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ below(X0,X1,X3)
& latt_element_smaller(X0,X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ( latt_element_smaller(X0,X1,X2)
& ! [X4] :
( below(X0,X1,X4)
| ~ latt_element_smaller(X0,X4,X2)
| ~ element(X4,the_carrier(X0)) ) )
| join_of_latt_set(X0,X2) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(rectify,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ~ lattice(X0)
| ! [X1,X2] :
( ( ( join_of_latt_set(X0,X2) = X1
| ~ latt_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ below(X0,X1,X3)
& latt_element_smaller(X0,X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ( latt_element_smaller(X0,X1,X2)
& ! [X3] :
( below(X0,X1,X3)
| ~ latt_element_smaller(X0,X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
| join_of_latt_set(X0,X2) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f306]) ).
fof(f306,plain,
! [X0] :
( ~ lattice(X0)
| ! [X1,X2] :
( ( ( join_of_latt_set(X0,X2) = X1
| ~ latt_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ below(X0,X1,X3)
& latt_element_smaller(X0,X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ( latt_element_smaller(X0,X1,X2)
& ! [X3] :
( below(X0,X1,X3)
| ~ latt_element_smaller(X0,X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
| join_of_latt_set(X0,X2) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ~ lattice(X0)
| ! [X1,X2] :
( ( join_of_latt_set(X0,X2) = X1
<=> ( latt_element_smaller(X0,X1,X2)
& ! [X3] :
( below(X0,X1,X3)
| ~ latt_element_smaller(X0,X3,X2)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ! [X2,X1] :
( ( ( ! [X3] :
( below(X0,X1,X3)
| ~ latt_element_smaller(X0,X3,X2)
| ~ element(X3,the_carrier(X0)) )
& latt_element_smaller(X0,X1,X2) )
<=> join_of_latt_set(X0,X2) = X1 )
| ~ element(X1,the_carrier(X0)) )
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ( ( lattice(X0)
& complete_latt_str(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X2,X1] :
( element(X1,the_carrier(X0))
=> ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( latt_element_smaller(X0,X3,X2)
=> below(X0,X1,X3) ) )
& latt_element_smaller(X0,X1,X2) )
<=> join_of_latt_set(X0,X2) = X1 ) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ( ( lattice(X0)
& complete_latt_str(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X2,X1] :
( element(X2,the_carrier(X0))
=> ( join_of_latt_set(X0,X1) = X2
<=> ( latt_element_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( latt_element_smaller(X0,X3,X1)
=> below(X0,X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d21_lattice3) ).
fof(f1410,plain,
( ! [X1] :
( ~ element(join_of_latt_set(sK19,X1),the_carrier(poset_of_lattice(sK19)))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,join_of_latt_set(sK19,X1))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1) )
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1409,f668]) ).
fof(f668,plain,
( antisymmetric_relstr(poset_of_lattice(sK19))
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl29_13
<=> antisymmetric_relstr(poset_of_lattice(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_13])]) ).
fof(f1409,plain,
( ! [X1] :
( ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ antisymmetric_relstr(poset_of_lattice(sK19))
| ~ element(join_of_latt_set(sK19,X1),the_carrier(poset_of_lattice(sK19)))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,join_of_latt_set(sK19,X1)) )
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1408,f561]) ).
fof(f1408,plain,
( ! [X1] :
( ~ rel_str(poset_of_lattice(sK19))
| ~ element(join_of_latt_set(sK19,X1),the_carrier(poset_of_lattice(sK19)))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,join_of_latt_set(sK19,X1))
| ~ antisymmetric_relstr(poset_of_lattice(sK19)) )
| ~ spl29_8
| ~ spl29_13 ),
inference(duplicate_literal_removal,[],[f1406]) ).
fof(f1406,plain,
( ! [X1] :
( ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ rel_str(poset_of_lattice(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,join_of_latt_set(sK19,X1))
| ~ element(join_of_latt_set(sK19,X1),the_carrier(poset_of_lattice(sK19)))
| ~ antisymmetric_relstr(poset_of_lattice(sK19)) )
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1384,f334]) ).
fof(f334,plain,
! [X0,X1,X4] :
( relstr_set_smaller(X0,X1,sK5(X0,X1,X4))
| ex_sup_of_relstr_set(X0,X1)
| ~ element(X4,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_set_smaller(X0,X1,X4) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ! [X1] :
( ( ( relstr_set_smaller(X0,X1,sK4(X0,X1))
& ! [X3] :
( related(X0,sK4(X0,X1),X3)
| ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3) )
& element(sK4(X0,X1),the_carrier(X0)) )
| ~ ex_sup_of_relstr_set(X0,X1) )
& ( ex_sup_of_relstr_set(X0,X1)
| ! [X4] :
( ~ relstr_set_smaller(X0,X1,X4)
| ( ~ related(X0,X4,sK5(X0,X1,X4))
& element(sK5(X0,X1,X4),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK5(X0,X1,X4)) )
| ~ element(X4,the_carrier(X0)) ) ) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f232,f234,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ? [X2] :
( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3) )
& element(X2,the_carrier(X0)) )
=> ( relstr_set_smaller(X0,X1,sK4(X0,X1))
& ! [X3] :
( related(X0,sK4(X0,X1),X3)
| ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3) )
& element(sK4(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
! [X0,X1,X4] :
( ? [X5] :
( ~ related(X0,X4,X5)
& element(X5,the_carrier(X0))
& relstr_set_smaller(X0,X1,X5) )
=> ( ~ related(X0,X4,sK5(X0,X1,X4))
& element(sK5(X0,X1,X4),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK5(X0,X1,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ! [X1] :
( ( ? [X2] :
( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3) )
& element(X2,the_carrier(X0)) )
| ~ ex_sup_of_relstr_set(X0,X1) )
& ( ex_sup_of_relstr_set(X0,X1)
| ! [X4] :
( ~ relstr_set_smaller(X0,X1,X4)
| ? [X5] :
( ~ related(X0,X4,X5)
& element(X5,the_carrier(X0))
& relstr_set_smaller(X0,X1,X5) )
| ~ element(X4,the_carrier(X0)) ) ) )
| ~ rel_str(X0) ),
inference(rectify,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ! [X1] :
( ( ? [X2] :
( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3) )
& element(X2,the_carrier(X0)) )
| ~ ex_sup_of_relstr_set(X0,X1) )
& ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& element(X3,the_carrier(X0))
& relstr_set_smaller(X0,X1,X3) )
| ~ element(X2,the_carrier(X0)) ) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ! [X1] :
( ? [X2] :
( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3) )
& element(X2,the_carrier(X0)) )
<=> ex_sup_of_relstr_set(X0,X1) )
| ~ rel_str(X0) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0))
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
<=> ex_sup_of_relstr_set(X0,X1) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( ? [X2] :
( relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0))
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) ) )
<=> ex_sup_of_relstr_set(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(f1384,plain,
( ! [X0] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X0)))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X0) )
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1383,f510]) ).
fof(f1383,plain,
( ! [X0] :
( ex_sup_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ element(join_of_latt_set(sK19,X0),the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X0))) )
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1382,f953]) ).
fof(f1382,plain,
( ! [X0] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X0)))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X0))
| ~ element(join_of_latt_set(sK19,X0),the_carrier(sK19)) )
| ~ spl29_8
| ~ spl29_13 ),
inference(duplicate_literal_removal,[],[f1379]) ).
fof(f1379,plain,
( ! [X0] :
( ~ element(join_of_latt_set(sK19,X0),the_carrier(sK19))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X0)))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X0)) )
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1319,f1036]) ).
fof(f1036,plain,
( ! [X3,X4] :
( element(sK5(poset_of_lattice(sK19),X3,X4),the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X3,X4)
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X3)
| ~ element(X4,the_carrier(sK19)) )
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1035,f668]) ).
fof(f1035,plain,
! [X3,X4] :
( element(sK5(poset_of_lattice(sK19),X3,X4),the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X3,X4)
| ~ element(X4,the_carrier(sK19))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X3)
| ~ antisymmetric_relstr(poset_of_lattice(sK19)) ),
inference(subsumption_resolution,[],[f991,f561]) ).
fof(f991,plain,
! [X3,X4] :
( ~ rel_str(poset_of_lattice(sK19))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X3)
| ~ element(X4,the_carrier(sK19))
| element(sK5(poset_of_lattice(sK19),X3,X4),the_carrier(sK19))
| ~ antisymmetric_relstr(poset_of_lattice(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X3,X4) ),
inference(superposition,[],[f335,f964]) ).
fof(f335,plain,
! [X0,X1,X4] :
( element(sK5(X0,X1,X4),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ex_sup_of_relstr_set(X0,X1)
| ~ element(X4,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X4)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f1319,plain,
( ! [X0] :
( ~ element(sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X0)),the_carrier(sK19))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X0))) )
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1304,f987]) ).
fof(f987,plain,
! [X4,X5] :
( latt_element_smaller(sK19,X5,X4)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X4,X5)
| ~ element(X5,the_carrier(sK19)) ),
inference(forward_subsumption_demodulation,[],[f965,f967]) ).
fof(f967,plain,
! [X8] :
( cast_to_el_of_lattice(sK19,X8) = X8
| ~ element(X8,the_carrier(sK19)) ),
inference(backward_demodulation,[],[f540,f964]) ).
fof(f540,plain,
! [X8] :
( cast_to_el_of_lattice(sK19,X8) = X8
| ~ element(X8,the_carrier(poset_of_lattice(sK19))) ),
inference(subsumption_resolution,[],[f539,f413]) ).
fof(f539,plain,
! [X8] :
( ~ latt_str(sK19)
| ~ element(X8,the_carrier(poset_of_lattice(sK19)))
| cast_to_el_of_lattice(sK19,X8) = X8 ),
inference(subsumption_resolution,[],[f519,f411]) ).
fof(f519,plain,
! [X8] :
( empty_carrier(sK19)
| ~ element(X8,the_carrier(poset_of_lattice(sK19)))
| cast_to_el_of_lattice(sK19,X8) = X8
| ~ latt_str(sK19) ),
inference(resolution,[],[f412,f392]) ).
fof(f392,plain,
! [X0,X1] :
( ~ lattice(X0)
| empty_carrier(X0)
| cast_to_el_of_lattice(X0,X1) = X1
| ~ latt_str(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0))) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ latt_str(X0)
| ! [X1] :
( ~ element(X1,the_carrier(poset_of_lattice(X0)))
| cast_to_el_of_lattice(X0,X1) = X1 )
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(poset_of_lattice(X0)))
| cast_to_el_of_lattice(X0,X1) = X1 )
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(poset_of_lattice(X0)))
=> cast_to_el_of_lattice(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_lattice3) ).
fof(f965,plain,
! [X4,X5] :
( ~ element(X5,the_carrier(sK19))
| latt_element_smaller(sK19,cast_to_el_of_lattice(sK19,X5),X4)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X4,X5) ),
inference(backward_demodulation,[],[f534,f964]) ).
fof(f534,plain,
! [X4,X5] :
( latt_element_smaller(sK19,cast_to_el_of_lattice(sK19,X5),X4)
| ~ element(X5,the_carrier(poset_of_lattice(sK19)))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X4,X5) ),
inference(subsumption_resolution,[],[f533,f411]) ).
fof(f533,plain,
! [X4,X5] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X4,X5)
| latt_element_smaller(sK19,cast_to_el_of_lattice(sK19,X5),X4)
| ~ element(X5,the_carrier(poset_of_lattice(sK19)))
| empty_carrier(sK19) ),
inference(subsumption_resolution,[],[f517,f413]) ).
fof(f517,plain,
! [X4,X5] :
( ~ element(X5,the_carrier(poset_of_lattice(sK19)))
| latt_element_smaller(sK19,cast_to_el_of_lattice(sK19,X5),X4)
| ~ latt_str(sK19)
| empty_carrier(sK19)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X4,X5) ),
inference(resolution,[],[f412,f390]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ lattice(X0)
| ~ relstr_set_smaller(poset_of_lattice(X0),X1,X2)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(poset_of_lattice(X0)))
| latt_element_smaller(X0,cast_to_el_of_lattice(X0,X2),X1)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0,X1] :
( ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ! [X2] :
( ( ( relstr_set_smaller(poset_of_lattice(X0),X1,X2)
| ~ latt_element_smaller(X0,cast_to_el_of_lattice(X0,X2),X1) )
& ( latt_element_smaller(X0,cast_to_el_of_lattice(X0,X2),X1)
| ~ relstr_set_smaller(poset_of_lattice(X0),X1,X2) ) )
| ~ element(X2,the_carrier(poset_of_lattice(X0))) ) ),
inference(rectify,[],[f262]) ).
fof(f262,plain,
! [X1,X0] :
( ~ lattice(X1)
| ~ latt_str(X1)
| empty_carrier(X1)
| ! [X2] :
( ( ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
| ~ latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
& ( latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| ~ relstr_set_smaller(poset_of_lattice(X1),X0,X2) ) )
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ) ),
inference(nnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X1,X0] :
( ~ lattice(X1)
| ~ latt_str(X1)
| empty_carrier(X1)
| ! [X2] :
( ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ! [X2] :
( ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
| ~ element(X2,the_carrier(poset_of_lattice(X1))) )
| ~ lattice(X1)
| ~ latt_str(X1)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0,X1] :
( ( lattice(X1)
& latt_str(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_set_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_lattice3) ).
fof(f1304,plain,
( ! [X0] :
( ~ latt_element_smaller(sK19,sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X0)),X0)
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X0) )
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1303,f953]) ).
fof(f1303,plain,
( ! [X0,X1] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ latt_element_smaller(sK19,sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1)),X1) )
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1302,f510]) ).
fof(f1302,plain,
( ! [X0,X1] :
( ex_sup_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ latt_element_smaller(sK19,sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1)),X1)
| ~ element(join_of_latt_set(sK19,X1),the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1)) )
| ~ spl29_8
| ~ spl29_13 ),
inference(duplicate_literal_removal,[],[f1299]) ).
fof(f1299,plain,
( ! [X0,X1] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1))
| ~ element(join_of_latt_set(sK19,X1),the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ latt_element_smaller(sK19,sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1)),X1)
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X0) )
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1236,f1036]) ).
fof(f1236,plain,
( ! [X0,X1] :
( ~ element(sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1)),the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1))
| ~ latt_element_smaller(sK19,sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1)),X1)
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X0) )
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1232,f510]) ).
fof(f1232,plain,
( ! [X0,X1] :
( ~ element(join_of_latt_set(sK19,X1),the_carrier(sK19))
| ~ element(sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1)),the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1))
| ~ latt_element_smaller(sK19,sK5(poset_of_lattice(sK19),X0,join_of_latt_set(sK19,X1)),X1)
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X0) )
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1204,f722]) ).
fof(f722,plain,
! [X2,X1] :
( below(sK19,join_of_latt_set(sK19,X2),X1)
| ~ element(X1,the_carrier(sK19))
| ~ latt_element_smaller(sK19,X1,X2) ),
inference(subsumption_resolution,[],[f721,f412]) ).
fof(f721,plain,
! [X2,X1] :
( ~ element(X1,the_carrier(sK19))
| below(sK19,join_of_latt_set(sK19,X2),X1)
| ~ latt_element_smaller(sK19,X1,X2)
| ~ lattice(sK19) ),
inference(subsumption_resolution,[],[f720,f413]) ).
fof(f720,plain,
! [X2,X1] :
( ~ latt_str(sK19)
| ~ lattice(sK19)
| ~ latt_element_smaller(sK19,X1,X2)
| ~ element(X1,the_carrier(sK19))
| below(sK19,join_of_latt_set(sK19,X2),X1) ),
inference(subsumption_resolution,[],[f719,f411]) ).
fof(f719,plain,
! [X2,X1] :
( empty_carrier(sK19)
| below(sK19,join_of_latt_set(sK19,X2),X1)
| ~ element(X1,the_carrier(sK19))
| ~ lattice(sK19)
| ~ latt_element_smaller(sK19,X1,X2)
| ~ latt_str(sK19) ),
inference(subsumption_resolution,[],[f714,f414]) ).
fof(f714,plain,
! [X2,X1] :
( below(sK19,join_of_latt_set(sK19,X2),X1)
| ~ complete_latt_str(sK19)
| ~ latt_element_smaller(sK19,X1,X2)
| ~ lattice(sK19)
| ~ latt_str(sK19)
| empty_carrier(sK19)
| ~ element(X1,the_carrier(sK19)) ),
inference(resolution,[],[f510,f491]) ).
fof(f491,plain,
! [X2,X0,X4] :
( ~ element(join_of_latt_set(X0,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ element(X4,the_carrier(X0))
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| below(X0,join_of_latt_set(X0,X2),X4)
| ~ latt_element_smaller(X0,X4,X2) ),
inference(duplicate_literal_removal,[],[f489]) ).
fof(f489,plain,
! [X2,X0,X4] :
( empty_carrier(X0)
| ~ element(join_of_latt_set(X0,X2),the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| below(X0,join_of_latt_set(X0,X2),X4)
| ~ latt_element_smaller(X0,X4,X2) ),
inference(equality_resolution,[],[f448]) ).
fof(f448,plain,
! [X2,X0,X1,X4] :
( ~ lattice(X0)
| below(X0,X1,X4)
| ~ latt_element_smaller(X0,X4,X2)
| ~ element(X4,the_carrier(X0))
| join_of_latt_set(X0,X2) != X1
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f1204,plain,
( ! [X0,X1] :
( ~ below(sK19,X0,sK5(poset_of_lattice(sK19),X1,X0))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0)
| ~ element(X0,the_carrier(sK19))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1) )
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1203,f1036]) ).
fof(f1203,plain,
( ! [X0,X1] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0)
| ~ below(sK19,X0,sK5(poset_of_lattice(sK19),X1,X0))
| ~ element(sK5(poset_of_lattice(sK19),X1,X0),the_carrier(sK19))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ element(X0,the_carrier(sK19)) )
| ~ spl29_8
| ~ spl29_13 ),
inference(duplicate_literal_removal,[],[f1202]) ).
fof(f1202,plain,
( ! [X0,X1] :
( ~ element(X0,the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0)
| ~ element(sK5(poset_of_lattice(sK19),X1,X0),the_carrier(sK19))
| ~ below(sK19,X0,sK5(poset_of_lattice(sK19),X1,X0))
| ~ element(X0,the_carrier(sK19))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1) )
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1133,f1089]) ).
fof(f1089,plain,
( ! [X0,X1] :
( related_reflexive(poset_of_lattice(sK19),X0,X1)
| ~ element(X0,the_carrier(sK19))
| ~ element(X1,the_carrier(sK19))
| ~ below(sK19,X0,X1) )
| ~ spl29_8 ),
inference(duplicate_literal_removal,[],[f1087]) ).
fof(f1087,plain,
( ! [X0,X1] :
( ~ element(X0,the_carrier(sK19))
| ~ below(sK19,X0,X1)
| ~ element(X1,the_carrier(sK19))
| ~ element(X1,the_carrier(sK19))
| related_reflexive(poset_of_lattice(sK19),X0,X1)
| ~ element(X0,the_carrier(sK19)) )
| ~ spl29_8 ),
inference(resolution,[],[f634,f570]) ).
fof(f570,plain,
! [X14,X15] :
( ~ below_refl(sK19,X14,X15)
| related_reflexive(poset_of_lattice(sK19),X14,X15)
| ~ element(X14,the_carrier(sK19))
| ~ element(X15,the_carrier(sK19)) ),
inference(forward_subsumption_demodulation,[],[f569,f566]) ).
fof(f569,plain,
! [X14,X15] :
( ~ below_refl(sK19,X14,X15)
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X14),X15)
| ~ element(X14,the_carrier(sK19))
| ~ element(X15,the_carrier(sK19)) ),
inference(forward_subsumption_demodulation,[],[f568,f566]) ).
fof(f568,plain,
! [X14,X15] :
( ~ element(X14,the_carrier(sK19))
| ~ below_refl(sK19,X14,X15)
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X14),cast_to_el_of_LattPOSet(sK19,X15))
| ~ element(X15,the_carrier(sK19)) ),
inference(subsumption_resolution,[],[f567,f411]) ).
fof(f567,plain,
! [X14,X15] :
( ~ element(X14,the_carrier(sK19))
| ~ element(X15,the_carrier(sK19))
| empty_carrier(sK19)
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X14),cast_to_el_of_LattPOSet(sK19,X15))
| ~ below_refl(sK19,X14,X15) ),
inference(subsumption_resolution,[],[f530,f413]) ).
fof(f530,plain,
! [X14,X15] :
( ~ element(X15,the_carrier(sK19))
| ~ below_refl(sK19,X14,X15)
| ~ element(X14,the_carrier(sK19))
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X14),cast_to_el_of_LattPOSet(sK19,X15))
| ~ latt_str(sK19)
| empty_carrier(sK19) ),
inference(resolution,[],[f412,f460]) ).
fof(f460,plain,
! [X2,X0,X1] :
( ~ lattice(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0)
| related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ below_refl(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ~ latt_str(X0)
| ! [X1] :
( ! [X2] :
( ( ( below_refl(X0,X1,X2)
| ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
& ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ below_refl(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ~ latt_str(X0)
| ! [X1] :
( ! [X2] :
( ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ( lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lattice3) ).
fof(f634,plain,
( ! [X4,X5] :
( below_refl(sK19,X4,X5)
| ~ below(sK19,X4,X5)
| ~ element(X5,the_carrier(sK19))
| ~ element(X4,the_carrier(sK19)) )
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl29_8
<=> ! [X4,X5] :
( ~ element(X5,the_carrier(sK19))
| ~ below(sK19,X4,X5)
| ~ element(X4,the_carrier(sK19))
| below_refl(sK19,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).
fof(f1133,plain,
( ! [X0,X1] :
( ~ related_reflexive(poset_of_lattice(sK19),X0,sK5(poset_of_lattice(sK19),X1,X0))
| ~ element(X0,the_carrier(sK19))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0) )
| ~ spl29_13 ),
inference(duplicate_literal_removal,[],[f1132]) ).
fof(f1132,plain,
( ! [X0,X1] :
( ~ element(X0,the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0)
| ~ element(X0,the_carrier(sK19))
| ~ related_reflexive(poset_of_lattice(sK19),X0,sK5(poset_of_lattice(sK19),X1,X0))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1) )
| ~ spl29_13 ),
inference(forward_demodulation,[],[f1131,f964]) ).
fof(f1131,plain,
( ! [X0,X1] :
( ~ element(X0,the_carrier(poset_of_lattice(sK19)))
| ~ related_reflexive(poset_of_lattice(sK19),X0,sK5(poset_of_lattice(sK19),X1,X0))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ element(X0,the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0) )
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1130,f1036]) ).
fof(f1130,plain,
( ! [X0,X1] :
( ~ related_reflexive(poset_of_lattice(sK19),X0,sK5(poset_of_lattice(sK19),X1,X0))
| ~ element(X0,the_carrier(poset_of_lattice(sK19)))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0)
| ~ element(sK5(poset_of_lattice(sK19),X1,X0),the_carrier(sK19))
| ~ element(X0,the_carrier(sK19)) )
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1129,f561]) ).
fof(f1129,plain,
( ! [X0,X1] :
( ~ element(sK5(poset_of_lattice(sK19),X1,X0),the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0)
| ~ related_reflexive(poset_of_lattice(sK19),X0,sK5(poset_of_lattice(sK19),X1,X0))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ element(X0,the_carrier(sK19))
| ~ rel_str(poset_of_lattice(sK19))
| ~ element(X0,the_carrier(poset_of_lattice(sK19))) )
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1128,f668]) ).
fof(f1128,plain,
! [X0,X1] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0)
| ~ element(X0,the_carrier(poset_of_lattice(sK19)))
| ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ related_reflexive(poset_of_lattice(sK19),X0,sK5(poset_of_lattice(sK19),X1,X0))
| ~ element(X0,the_carrier(sK19))
| ~ antisymmetric_relstr(poset_of_lattice(sK19))
| ~ rel_str(poset_of_lattice(sK19))
| ~ element(sK5(poset_of_lattice(sK19),X1,X0),the_carrier(sK19)) ),
inference(resolution,[],[f984,f336]) ).
fof(f336,plain,
! [X0,X1,X4] :
( ~ related(X0,X4,sK5(X0,X1,X4))
| ~ rel_str(X0)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ antisymmetric_relstr(X0)
| ~ element(X4,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f984,plain,
! [X2,X3] :
( related(poset_of_lattice(sK19),X3,X2)
| ~ element(X3,the_carrier(sK19))
| ~ element(X2,the_carrier(sK19))
| ~ related_reflexive(poset_of_lattice(sK19),X3,X2) ),
inference(forward_demodulation,[],[f972,f964]) ).
fof(f972,plain,
! [X2,X3] :
( ~ element(X2,the_carrier(sK19))
| related(poset_of_lattice(sK19),X3,X2)
| ~ element(X3,the_carrier(poset_of_lattice(sK19)))
| ~ related_reflexive(poset_of_lattice(sK19),X3,X2) ),
inference(backward_demodulation,[],[f685,f964]) ).
fof(f685,plain,
! [X2,X3] :
( ~ element(X3,the_carrier(poset_of_lattice(sK19)))
| ~ related_reflexive(poset_of_lattice(sK19),X3,X2)
| related(poset_of_lattice(sK19),X3,X2)
| ~ element(X2,the_carrier(poset_of_lattice(sK19))) ),
inference(subsumption_resolution,[],[f684,f574]) ).
fof(f574,plain,
~ empty_carrier(poset_of_lattice(sK19)),
inference(subsumption_resolution,[],[f573,f413]) ).
fof(f573,plain,
( ~ empty_carrier(poset_of_lattice(sK19))
| ~ latt_str(sK19) ),
inference(subsumption_resolution,[],[f515,f411]) ).
fof(f515,plain,
( ~ empty_carrier(poset_of_lattice(sK19))
| empty_carrier(sK19)
| ~ latt_str(sK19) ),
inference(resolution,[],[f412,f361]) ).
fof(f361,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| ~ empty_carrier(poset_of_lattice(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f684,plain,
! [X2,X3] :
( related(poset_of_lattice(sK19),X3,X2)
| ~ element(X2,the_carrier(poset_of_lattice(sK19)))
| empty_carrier(poset_of_lattice(sK19))
| ~ element(X3,the_carrier(poset_of_lattice(sK19)))
| ~ related_reflexive(poset_of_lattice(sK19),X3,X2) ),
inference(subsumption_resolution,[],[f659,f561]) ).
fof(f659,plain,
! [X2,X3] :
( ~ element(X3,the_carrier(poset_of_lattice(sK19)))
| ~ rel_str(poset_of_lattice(sK19))
| related(poset_of_lattice(sK19),X3,X2)
| empty_carrier(poset_of_lattice(sK19))
| ~ element(X2,the_carrier(poset_of_lattice(sK19)))
| ~ related_reflexive(poset_of_lattice(sK19),X3,X2) ),
inference(resolution,[],[f557,f363]) ).
fof(f363,plain,
! [X2,X0,X1] :
( ~ reflexive_relstr(X2)
| empty_carrier(X2)
| ~ element(X0,the_carrier(X2))
| ~ rel_str(X2)
| ~ related_reflexive(X2,X1,X0)
| related(X2,X1,X0)
| ~ element(X1,the_carrier(X2)) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1,X2] :
( ( ( related(X2,X1,X0)
| ~ related_reflexive(X2,X1,X0) )
& ( related_reflexive(X2,X1,X0)
| ~ related(X2,X1,X0) ) )
| ~ reflexive_relstr(X2)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2))
| ~ rel_str(X2)
| ~ element(X0,the_carrier(X2)) ),
inference(rectify,[],[f248]) ).
fof(f248,plain,
! [X1,X2,X0] :
( ( ( related(X0,X2,X1)
| ~ related_reflexive(X0,X2,X1) )
& ( related_reflexive(X0,X2,X1)
| ~ related(X0,X2,X1) ) )
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(nnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X1,X2,X0] :
( ( related(X0,X2,X1)
<=> related_reflexive(X0,X2,X1) )
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ( related(X0,X2,X1)
<=> related_reflexive(X0,X2,X1) )
| ~ reflexive_relstr(X0)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ( reflexive_relstr(X0)
& element(X2,the_carrier(X0))
& ~ empty_carrier(X0)
& rel_str(X0)
& element(X1,the_carrier(X0)) )
=> ( related(X0,X2,X1)
<=> related_reflexive(X0,X2,X1) ) ),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X0,X2,X1] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& rel_str(X0)
& ~ empty_carrier(X0)
& reflexive_relstr(X0) )
=> ( related(X0,X1,X2)
<=> related_reflexive(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).
fof(f557,plain,
reflexive_relstr(poset_of_lattice(sK19)),
inference(subsumption_resolution,[],[f556,f411]) ).
fof(f556,plain,
( empty_carrier(sK19)
| reflexive_relstr(poset_of_lattice(sK19)) ),
inference(subsumption_resolution,[],[f513,f413]) ).
fof(f513,plain,
( ~ latt_str(sK19)
| empty_carrier(sK19)
| reflexive_relstr(poset_of_lattice(sK19)) ),
inference(resolution,[],[f412,f357]) ).
fof(f357,plain,
! [X0] :
( ~ lattice(X0)
| reflexive_relstr(poset_of_lattice(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f1886,plain,
( ! [X1] :
( ~ ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X1),the_carrier(poset_of_lattice(sK19)))
| join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X1) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1885,f561]) ).
fof(f1885,plain,
( ! [X1] :
( join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X1)
| ~ rel_str(poset_of_lattice(sK19))
| ~ ex_sup_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X1),the_carrier(poset_of_lattice(sK19))) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1883,f481]) ).
fof(f481,plain,
! [X2,X0] :
( relstr_set_smaller(X0,X2,join_on_relstr(X0,X2))
| ~ element(join_on_relstr(X0,X2),the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X2)
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f333]) ).
fof(f333,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X2,X1)
| join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( ~ relstr_set_smaller(X0,X2,X3)
| related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X2) != X1 )
& ( join_on_relstr(X0,X2) = X1
| ~ relstr_set_smaller(X0,X2,X1)
| ( relstr_set_smaller(X0,X2,sK3(X0,X1,X2))
& ~ related(X0,X1,sK3(X0,X1,X2))
& element(sK3(X0,X1,X2),the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f228,f229]) ).
fof(f229,plain,
! [X0,X1,X2] :
( ? [X4] :
( relstr_set_smaller(X0,X2,X4)
& ~ related(X0,X1,X4)
& element(X4,the_carrier(X0)) )
=> ( relstr_set_smaller(X0,X2,sK3(X0,X1,X2))
& ~ related(X0,X1,sK3(X0,X1,X2))
& element(sK3(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( ~ relstr_set_smaller(X0,X2,X3)
| related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X2) != X1 )
& ( join_on_relstr(X0,X2) = X1
| ~ relstr_set_smaller(X0,X2,X1)
| ? [X4] :
( relstr_set_smaller(X0,X2,X4)
& ~ related(X0,X1,X4)
& element(X4,the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f227]) ).
fof(f227,plain,
! [X0] :
( ! [X2,X1] :
( ( ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( ~ relstr_set_smaller(X0,X1,X3)
| related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 )
& ( join_on_relstr(X0,X1) = X2
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( relstr_set_smaller(X0,X1,X3)
& ~ related(X0,X2,X3)
& element(X3,the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f226]) ).
fof(f226,plain,
! [X0] :
( ! [X2,X1] :
( ( ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( ~ relstr_set_smaller(X0,X1,X3)
| related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 )
& ( join_on_relstr(X0,X1) = X2
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( relstr_set_smaller(X0,X1,X3)
& ~ related(X0,X2,X3)
& element(X3,the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X2,X1] :
( ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( ~ relstr_set_smaller(X0,X1,X3)
| related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) ) )
<=> join_on_relstr(X0,X1) = X2 )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X2,X1] :
( ( join_on_relstr(X0,X1) = X2
<=> ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( rel_str(X0)
=> ! [X2,X1] :
( element(X2,the_carrier(X0))
=> ( ex_sup_of_relstr_set(X0,X1)
=> ( join_on_relstr(X0,X1) = X2
<=> ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(f1883,plain,
( ! [X0] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X0,join_on_relstr(poset_of_lattice(sK19),X0))
| join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1880,f1034]) ).
fof(f1880,plain,
( ! [X0] :
( join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,join_on_relstr(poset_of_lattice(sK19),X0))
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19)) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1876,f987]) ).
fof(f1876,plain,
( ! [X0] :
( ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0)
| join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1875,f1034]) ).
fof(f1875,plain,
( ! [X0] :
( ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0)
| join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19)) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1874,f414]) ).
fof(f1874,plain,
( ! [X0] :
( ~ complete_latt_str(sK19)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19))
| join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1873,f411]) ).
fof(f1873,plain,
( ! [X0] :
( empty_carrier(sK19)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0)
| ~ complete_latt_str(sK19)
| join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19)) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1872,f413]) ).
fof(f1872,plain,
( ! [X0] :
( ~ latt_str(sK19)
| ~ complete_latt_str(sK19)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0)
| empty_carrier(sK19)
| join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19)) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1871,f412]) ).
fof(f1871,plain,
( ! [X0] :
( join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ lattice(sK19)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0)
| empty_carrier(sK19)
| ~ complete_latt_str(sK19)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19))
| ~ latt_str(sK19) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(duplicate_literal_removal,[],[f1870]) ).
fof(f1870,plain,
( ! [X0] :
( ~ latt_str(sK19)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19))
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0)
| join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ lattice(sK19)
| empty_carrier(sK19)
| ~ complete_latt_str(sK19)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0)
| join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1865,f494]) ).
fof(f494,plain,
! [X2,X0,X1] :
( element(sK26(X0,X1,X2),the_carrier(X0))
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| join_of_latt_set(X0,X2) = X1
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| ~ latt_element_smaller(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f450]) ).
fof(f450,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| element(sK26(X0,X1,X2),the_carrier(X0))
| join_of_latt_set(X0,X2) = X1
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| ~ latt_element_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f310]) ).
fof(f1865,plain,
( ! [X0] :
( ~ element(sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0),the_carrier(sK19))
| join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1864,f1034]) ).
fof(f1864,plain,
( ! [X0] :
( join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19))
| ~ element(sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0),the_carrier(sK19)) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(duplicate_literal_removal,[],[f1862]) ).
fof(f1862,plain,
( ! [X0] :
( ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0)
| join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0)
| join_of_latt_set(sK19,X0) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0)
| ~ element(sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X0),the_carrier(sK19))
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19)) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1677,f878]) ).
fof(f878,plain,
! [X0,X1] :
( relstr_set_smaller(poset_of_lattice(sK19),X0,sK26(sK19,X1,X0))
| ~ element(sK26(sK19,X1,X0),the_carrier(sK19))
| join_of_latt_set(sK19,X0) = X1
| ~ latt_element_smaller(sK19,X1,X0)
| ~ element(X1,the_carrier(sK19)) ),
inference(forward_subsumption_demodulation,[],[f877,f566]) ).
fof(f877,plain,
! [X0,X1] :
( ~ element(sK26(sK19,X1,X0),the_carrier(sK19))
| relstr_set_smaller(poset_of_lattice(sK19),X0,cast_to_el_of_LattPOSet(sK19,sK26(sK19,X1,X0)))
| ~ element(X1,the_carrier(sK19))
| join_of_latt_set(sK19,X0) = X1
| ~ latt_element_smaller(sK19,X1,X0) ),
inference(resolution,[],[f596,f538]) ).
fof(f596,plain,
! [X8,X7] :
( latt_element_smaller(sK19,sK26(sK19,X7,X8),X8)
| join_of_latt_set(sK19,X8) = X7
| ~ element(X7,the_carrier(sK19))
| ~ latt_element_smaller(sK19,X7,X8) ),
inference(subsumption_resolution,[],[f595,f411]) ).
fof(f595,plain,
! [X8,X7] :
( empty_carrier(sK19)
| ~ latt_element_smaller(sK19,X7,X8)
| join_of_latt_set(sK19,X8) = X7
| latt_element_smaller(sK19,sK26(sK19,X7,X8),X8)
| ~ element(X7,the_carrier(sK19)) ),
inference(subsumption_resolution,[],[f594,f413]) ).
fof(f594,plain,
! [X8,X7] :
( ~ latt_element_smaller(sK19,X7,X8)
| ~ element(X7,the_carrier(sK19))
| join_of_latt_set(sK19,X8) = X7
| ~ latt_str(sK19)
| empty_carrier(sK19)
| latt_element_smaller(sK19,sK26(sK19,X7,X8),X8) ),
inference(subsumption_resolution,[],[f583,f412]) ).
fof(f583,plain,
! [X8,X7] :
( ~ latt_element_smaller(sK19,X7,X8)
| ~ lattice(sK19)
| join_of_latt_set(sK19,X8) = X7
| empty_carrier(sK19)
| ~ latt_str(sK19)
| ~ element(X7,the_carrier(sK19))
| latt_element_smaller(sK19,sK26(sK19,X7,X8),X8) ),
inference(resolution,[],[f414,f490]) ).
fof(f490,plain,
! [X2,X0,X1] :
( ~ complete_latt_str(X0)
| latt_element_smaller(X0,sK26(X0,X1,X2),X2)
| empty_carrier(X0)
| join_of_latt_set(X0,X2) = X1
| ~ latt_str(X0)
| ~ lattice(X0)
| ~ latt_element_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f451]) ).
fof(f451,plain,
! [X2,X0,X1] :
( ~ latt_str(X0)
| ~ latt_str(X0)
| latt_element_smaller(X0,sK26(X0,X1,X2),X2)
| empty_carrier(X0)
| join_of_latt_set(X0,X2) = X1
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| ~ latt_element_smaller(X0,X1,X2)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f310]) ).
fof(f1677,plain,
( ! [X0,X1] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1))
| join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1676,f411]) ).
fof(f1676,plain,
( ! [X0,X1] :
( ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1)
| empty_carrier(sK19)
| join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1)) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1675,f413]) ).
fof(f1675,plain,
( ! [X0,X1] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1))
| ~ latt_str(sK19)
| empty_carrier(sK19)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1)
| join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X0) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1674,f1034]) ).
fof(f1674,plain,
( ! [X0,X1] :
( ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19))
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1))
| empty_carrier(sK19)
| join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ latt_str(sK19) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1673,f412]) ).
fof(f1673,plain,
( ! [X0,X1] :
( ~ lattice(sK19)
| join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1))
| empty_carrier(sK19)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1)
| ~ latt_str(sK19)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19)) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1672,f414]) ).
fof(f1672,plain,
( ! [X0,X1] :
( ~ complete_latt_str(sK19)
| empty_carrier(sK19)
| join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ lattice(sK19)
| ~ latt_str(sK19)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1))
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19))
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(duplicate_literal_removal,[],[f1671]) ).
fof(f1671,plain,
( ! [X0,X1] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X0,sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1))
| join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X0)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19))
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1)
| ~ complete_latt_str(sK19)
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X0),X1)
| ~ latt_str(sK19)
| join_of_latt_set(sK19,X1) = join_on_relstr(poset_of_lattice(sK19),X0)
| empty_carrier(sK19)
| ~ lattice(sK19) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1512,f494]) ).
fof(f1512,plain,
( ! [X2,X3] :
( ~ element(sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X2),X3),the_carrier(sK19))
| join_on_relstr(poset_of_lattice(sK19),X2) = join_of_latt_set(sK19,X3)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X2,sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X2),X3))
| ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X2),X3) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1509,f1034]) ).
fof(f1509,plain,
( ! [X2,X3] :
( ~ latt_element_smaller(sK19,join_on_relstr(poset_of_lattice(sK19),X2),X3)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X2),the_carrier(sK19))
| join_on_relstr(poset_of_lattice(sK19),X2) = join_of_latt_set(sK19,X3)
| ~ element(sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X2),X3),the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X2,sK26(sK19,join_on_relstr(poset_of_lattice(sK19),X2),X3)) )
| ~ spl29_5
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1494,f1226]) ).
fof(f1226,plain,
( ! [X0,X1] :
( ~ below_refl(sK19,X0,sK26(sK19,X0,X1))
| ~ element(X0,the_carrier(sK19))
| join_of_latt_set(sK19,X1) = X0
| ~ latt_element_smaller(sK19,X0,X1) )
| ~ spl29_5 ),
inference(subsumption_resolution,[],[f1225,f414]) ).
fof(f1225,plain,
( ! [X0,X1] :
( ~ below_refl(sK19,X0,sK26(sK19,X0,X1))
| ~ latt_element_smaller(sK19,X0,X1)
| ~ complete_latt_str(sK19)
| ~ element(X0,the_carrier(sK19))
| join_of_latt_set(sK19,X1) = X0 )
| ~ spl29_5 ),
inference(subsumption_resolution,[],[f1224,f412]) ).
fof(f1224,plain,
( ! [X0,X1] :
( ~ latt_element_smaller(sK19,X0,X1)
| ~ below_refl(sK19,X0,sK26(sK19,X0,X1))
| ~ lattice(sK19)
| join_of_latt_set(sK19,X1) = X0
| ~ complete_latt_str(sK19)
| ~ element(X0,the_carrier(sK19)) )
| ~ spl29_5 ),
inference(subsumption_resolution,[],[f1223,f411]) ).
fof(f1223,plain,
( ! [X0,X1] :
( empty_carrier(sK19)
| join_of_latt_set(sK19,X1) = X0
| ~ complete_latt_str(sK19)
| ~ below_refl(sK19,X0,sK26(sK19,X0,X1))
| ~ lattice(sK19)
| ~ element(X0,the_carrier(sK19))
| ~ latt_element_smaller(sK19,X0,X1) )
| ~ spl29_5 ),
inference(subsumption_resolution,[],[f1222,f413]) ).
fof(f1222,plain,
( ! [X0,X1] :
( ~ latt_str(sK19)
| empty_carrier(sK19)
| ~ latt_element_smaller(sK19,X0,X1)
| ~ lattice(sK19)
| ~ below_refl(sK19,X0,sK26(sK19,X0,X1))
| ~ element(X0,the_carrier(sK19))
| ~ complete_latt_str(sK19)
| join_of_latt_set(sK19,X1) = X0 )
| ~ spl29_5 ),
inference(duplicate_literal_removal,[],[f1221]) ).
fof(f1221,plain,
( ! [X0,X1] :
( ~ below_refl(sK19,X0,sK26(sK19,X0,X1))
| ~ element(X0,the_carrier(sK19))
| ~ latt_element_smaller(sK19,X0,X1)
| ~ latt_str(sK19)
| ~ lattice(sK19)
| ~ latt_element_smaller(sK19,X0,X1)
| empty_carrier(sK19)
| join_of_latt_set(sK19,X1) = X0
| ~ element(X0,the_carrier(sK19))
| join_of_latt_set(sK19,X1) = X0
| ~ complete_latt_str(sK19) )
| ~ spl29_5 ),
inference(resolution,[],[f1086,f494]) ).
fof(f1086,plain,
( ! [X0,X1] :
( ~ element(sK26(sK19,X0,X1),the_carrier(sK19))
| ~ below_refl(sK19,X0,sK26(sK19,X0,X1))
| ~ latt_element_smaller(sK19,X0,X1)
| ~ element(X0,the_carrier(sK19))
| join_of_latt_set(sK19,X1) = X0 )
| ~ spl29_5 ),
inference(duplicate_literal_removal,[],[f1085]) ).
fof(f1085,plain,
( ! [X0,X1] :
( ~ latt_element_smaller(sK19,X0,X1)
| ~ element(sK26(sK19,X0,X1),the_carrier(sK19))
| ~ element(X0,the_carrier(sK19))
| ~ element(X0,the_carrier(sK19))
| join_of_latt_set(sK19,X1) = X0
| ~ below_refl(sK19,X0,sK26(sK19,X0,X1)) )
| ~ spl29_5 ),
inference(resolution,[],[f619,f590]) ).
fof(f590,plain,
! [X2,X1] :
( ~ below(sK19,X2,sK26(sK19,X2,X1))
| ~ latt_element_smaller(sK19,X2,X1)
| ~ element(X2,the_carrier(sK19))
| join_of_latt_set(sK19,X1) = X2 ),
inference(subsumption_resolution,[],[f589,f412]) ).
fof(f589,plain,
! [X2,X1] :
( ~ element(X2,the_carrier(sK19))
| join_of_latt_set(sK19,X1) = X2
| ~ latt_element_smaller(sK19,X2,X1)
| ~ below(sK19,X2,sK26(sK19,X2,X1))
| ~ lattice(sK19) ),
inference(subsumption_resolution,[],[f588,f411]) ).
fof(f588,plain,
! [X2,X1] :
( empty_carrier(sK19)
| ~ latt_element_smaller(sK19,X2,X1)
| ~ below(sK19,X2,sK26(sK19,X2,X1))
| join_of_latt_set(sK19,X1) = X2
| ~ lattice(sK19)
| ~ element(X2,the_carrier(sK19)) ),
inference(subsumption_resolution,[],[f580,f413]) ).
fof(f580,plain,
! [X2,X1] :
( ~ latt_str(sK19)
| ~ lattice(sK19)
| ~ element(X2,the_carrier(sK19))
| ~ latt_element_smaller(sK19,X2,X1)
| ~ below(sK19,X2,sK26(sK19,X2,X1))
| join_of_latt_set(sK19,X1) = X2
| empty_carrier(sK19) ),
inference(resolution,[],[f414,f493]) ).
fof(f493,plain,
! [X2,X0,X1] :
( ~ complete_latt_str(X0)
| join_of_latt_set(X0,X2) = X1
| empty_carrier(X0)
| ~ latt_element_smaller(X0,X1,X2)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ below(X0,X1,sK26(X0,X1,X2))
| ~ lattice(X0) ),
inference(duplicate_literal_removal,[],[f452]) ).
fof(f452,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| join_of_latt_set(X0,X2) = X1
| ~ complete_latt_str(X0)
| ~ latt_element_smaller(X0,X1,X2)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ below(X0,X1,sK26(X0,X1,X2))
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f619,plain,
( ! [X0,X1] :
( below(sK19,X0,X1)
| ~ element(X1,the_carrier(sK19))
| ~ below_refl(sK19,X0,X1)
| ~ element(X0,the_carrier(sK19)) )
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f618,plain,
( spl29_5
<=> ! [X0,X1] :
( ~ element(X1,the_carrier(sK19))
| below(sK19,X0,X1)
| ~ element(X0,the_carrier(sK19))
| ~ below_refl(sK19,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).
fof(f1494,plain,
( ! [X0,X1] :
( below_refl(sK19,join_on_relstr(poset_of_lattice(sK19),X1),X0)
| ~ element(X0,the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0) )
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1493,f1034]) ).
fof(f1493,plain,
( ! [X0,X1] :
( below_refl(sK19,join_on_relstr(poset_of_lattice(sK19),X1),X0)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0)
| ~ element(X0,the_carrier(sK19))
| ~ element(join_on_relstr(poset_of_lattice(sK19),X1),the_carrier(sK19)) )
| ~ spl29_8
| ~ spl29_13 ),
inference(duplicate_literal_removal,[],[f1491]) ).
fof(f1491,plain,
( ! [X0,X1] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X1,X0)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X1),the_carrier(sK19))
| below_refl(sK19,join_on_relstr(poset_of_lattice(sK19),X1),X0)
| ~ element(X0,the_carrier(sK19))
| ~ element(X0,the_carrier(sK19)) )
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1465,f774]) ).
fof(f774,plain,
! [X3,X4] :
( ~ related_reflexive(poset_of_lattice(sK19),X3,X4)
| below_refl(sK19,X3,X4)
| ~ element(X3,the_carrier(sK19))
| ~ element(X4,the_carrier(sK19)) ),
inference(forward_subsumption_demodulation,[],[f773,f566]) ).
fof(f773,plain,
! [X3,X4] :
( ~ related_reflexive(poset_of_lattice(sK19),X3,cast_to_el_of_LattPOSet(sK19,X4))
| ~ element(X4,the_carrier(sK19))
| ~ element(X3,the_carrier(sK19))
| below_refl(sK19,X3,X4) ),
inference(subsumption_resolution,[],[f772,f411]) ).
fof(f772,plain,
! [X3,X4] :
( ~ related_reflexive(poset_of_lattice(sK19),X3,cast_to_el_of_LattPOSet(sK19,X4))
| ~ element(X3,the_carrier(sK19))
| empty_carrier(sK19)
| ~ element(X4,the_carrier(sK19))
| below_refl(sK19,X3,X4) ),
inference(subsumption_resolution,[],[f771,f412]) ).
fof(f771,plain,
! [X3,X4] :
( ~ lattice(sK19)
| ~ element(X4,the_carrier(sK19))
| ~ related_reflexive(poset_of_lattice(sK19),X3,cast_to_el_of_LattPOSet(sK19,X4))
| ~ element(X3,the_carrier(sK19))
| below_refl(sK19,X3,X4)
| empty_carrier(sK19) ),
inference(subsumption_resolution,[],[f760,f413]) ).
fof(f760,plain,
! [X3,X4] :
( ~ latt_str(sK19)
| empty_carrier(sK19)
| ~ related_reflexive(poset_of_lattice(sK19),X3,cast_to_el_of_LattPOSet(sK19,X4))
| ~ element(X4,the_carrier(sK19))
| below_refl(sK19,X3,X4)
| ~ lattice(sK19)
| ~ element(X3,the_carrier(sK19)) ),
inference(duplicate_literal_removal,[],[f758]) ).
fof(f758,plain,
! [X3,X4] :
( ~ related_reflexive(poset_of_lattice(sK19),X3,cast_to_el_of_LattPOSet(sK19,X4))
| ~ latt_str(sK19)
| ~ element(X3,the_carrier(sK19))
| ~ element(X4,the_carrier(sK19))
| ~ lattice(sK19)
| ~ element(X3,the_carrier(sK19))
| empty_carrier(sK19)
| below_refl(sK19,X3,X4) ),
inference(superposition,[],[f461,f566]) ).
fof(f461,plain,
! [X2,X0,X1] :
( ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ element(X2,the_carrier(X0))
| below_refl(X0,X1,X2)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f1465,plain,
( ! [X0,X1] :
( related_reflexive(poset_of_lattice(sK19),join_on_relstr(poset_of_lattice(sK19),X0),X1)
| ~ element(X1,the_carrier(sK19))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,X1) )
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1464,f1034]) ).
fof(f1464,plain,
( ! [X0,X1] :
( ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19))
| ~ element(X1,the_carrier(sK19))
| related_reflexive(poset_of_lattice(sK19),join_on_relstr(poset_of_lattice(sK19),X0),X1)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,X1) )
| ~ spl29_8
| ~ spl29_13 ),
inference(duplicate_literal_removal,[],[f1462]) ).
fof(f1462,plain,
( ! [X0,X1] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X0,X1)
| ~ element(X1,the_carrier(sK19))
| ~ element(X1,the_carrier(sK19))
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19))
| related_reflexive(poset_of_lattice(sK19),join_on_relstr(poset_of_lattice(sK19),X0),X1) )
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1421,f985]) ).
fof(f985,plain,
! [X4,X5] :
( ~ related(poset_of_lattice(sK19),X5,X4)
| related_reflexive(poset_of_lattice(sK19),X5,X4)
| ~ element(X5,the_carrier(sK19))
| ~ element(X4,the_carrier(sK19)) ),
inference(forward_demodulation,[],[f973,f964]) ).
fof(f973,plain,
! [X4,X5] :
( ~ related(poset_of_lattice(sK19),X5,X4)
| ~ element(X4,the_carrier(sK19))
| ~ element(X5,the_carrier(poset_of_lattice(sK19)))
| related_reflexive(poset_of_lattice(sK19),X5,X4) ),
inference(backward_demodulation,[],[f687,f964]) ).
fof(f687,plain,
! [X4,X5] :
( related_reflexive(poset_of_lattice(sK19),X5,X4)
| ~ element(X4,the_carrier(poset_of_lattice(sK19)))
| ~ element(X5,the_carrier(poset_of_lattice(sK19)))
| ~ related(poset_of_lattice(sK19),X5,X4) ),
inference(subsumption_resolution,[],[f686,f574]) ).
fof(f686,plain,
! [X4,X5] :
( ~ related(poset_of_lattice(sK19),X5,X4)
| ~ element(X5,the_carrier(poset_of_lattice(sK19)))
| ~ element(X4,the_carrier(poset_of_lattice(sK19)))
| empty_carrier(poset_of_lattice(sK19))
| related_reflexive(poset_of_lattice(sK19),X5,X4) ),
inference(subsumption_resolution,[],[f660,f561]) ).
fof(f660,plain,
! [X4,X5] :
( ~ rel_str(poset_of_lattice(sK19))
| ~ element(X4,the_carrier(poset_of_lattice(sK19)))
| related_reflexive(poset_of_lattice(sK19),X5,X4)
| ~ element(X5,the_carrier(poset_of_lattice(sK19)))
| empty_carrier(poset_of_lattice(sK19))
| ~ related(poset_of_lattice(sK19),X5,X4) ),
inference(resolution,[],[f557,f362]) ).
fof(f362,plain,
! [X2,X0,X1] :
( ~ reflexive_relstr(X2)
| ~ element(X0,the_carrier(X2))
| ~ element(X1,the_carrier(X2))
| ~ rel_str(X2)
| ~ related(X2,X1,X0)
| empty_carrier(X2)
| related_reflexive(X2,X1,X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f1421,plain,
( ! [X0,X1] :
( related(poset_of_lattice(sK19),join_on_relstr(poset_of_lattice(sK19),X0),X1)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,X1)
| ~ element(X1,the_carrier(sK19)) )
| ~ spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1417,f1034]) ).
fof(f1417,plain,
( ! [X0,X1] :
( related(poset_of_lattice(sK19),join_on_relstr(poset_of_lattice(sK19),X0),X1)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X0,X1)
| ~ element(X1,the_carrier(sK19))
| ~ element(join_on_relstr(poset_of_lattice(sK19),X0),the_carrier(sK19)) )
| ~ spl29_8
| ~ spl29_13 ),
inference(resolution,[],[f1413,f983]) ).
fof(f983,plain,
! [X6,X7] :
( ~ ex_sup_of_relstr_set(poset_of_lattice(sK19),X6)
| related(poset_of_lattice(sK19),join_on_relstr(poset_of_lattice(sK19),X6),X7)
| ~ relstr_set_smaller(poset_of_lattice(sK19),X6,X7)
| ~ element(X7,the_carrier(sK19))
| ~ element(join_on_relstr(poset_of_lattice(sK19),X6),the_carrier(sK19)) ),
inference(backward_demodulation,[],[f923,f964]) ).
fof(f923,plain,
! [X6,X7] :
( ~ relstr_set_smaller(poset_of_lattice(sK19),X6,X7)
| ~ element(X7,the_carrier(poset_of_lattice(sK19)))
| ~ element(join_on_relstr(poset_of_lattice(sK19),X6),the_carrier(sK19))
| related(poset_of_lattice(sK19),join_on_relstr(poset_of_lattice(sK19),X6),X7)
| ~ ex_sup_of_relstr_set(poset_of_lattice(sK19),X6) ),
inference(subsumption_resolution,[],[f922,f561]) ).
fof(f922,plain,
! [X6,X7] :
( ~ rel_str(poset_of_lattice(sK19))
| ~ ex_sup_of_relstr_set(poset_of_lattice(sK19),X6)
| related(poset_of_lattice(sK19),join_on_relstr(poset_of_lattice(sK19),X6),X7)
| ~ element(join_on_relstr(poset_of_lattice(sK19),X6),the_carrier(sK19))
| ~ element(X7,the_carrier(poset_of_lattice(sK19)))
| ~ relstr_set_smaller(poset_of_lattice(sK19),X6,X7) ),
inference(resolution,[],[f782,f482]) ).
fof(f482,plain,
! [X2,X3,X0] :
( ~ element(join_on_relstr(X0,X2),the_carrier(X0))
| related(X0,join_on_relstr(X0,X2),X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ ex_sup_of_relstr_set(X0,X2)
| ~ rel_str(X0)
| ~ element(X3,the_carrier(X0)) ),
inference(equality_resolution,[],[f332]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( ~ relstr_set_smaller(X0,X2,X3)
| related(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f782,plain,
! [X0] :
( element(X0,the_carrier(poset_of_lattice(sK19)))
| ~ element(X0,the_carrier(sK19)) ),
inference(subsumption_resolution,[],[f781,f411]) ).
fof(f781,plain,
! [X0] :
( ~ element(X0,the_carrier(sK19))
| element(X0,the_carrier(poset_of_lattice(sK19)))
| empty_carrier(sK19) ),
inference(subsumption_resolution,[],[f780,f413]) ).
fof(f780,plain,
! [X0] :
( ~ element(X0,the_carrier(sK19))
| element(X0,the_carrier(poset_of_lattice(sK19)))
| ~ latt_str(sK19)
| empty_carrier(sK19) ),
inference(subsumption_resolution,[],[f759,f412]) ).
fof(f759,plain,
! [X0] :
( ~ element(X0,the_carrier(sK19))
| ~ lattice(sK19)
| ~ latt_str(sK19)
| element(X0,the_carrier(poset_of_lattice(sK19)))
| empty_carrier(sK19) ),
inference(duplicate_literal_removal,[],[f756]) ).
fof(f756,plain,
! [X0] :
( ~ latt_str(sK19)
| empty_carrier(sK19)
| ~ element(X0,the_carrier(sK19))
| ~ lattice(sK19)
| ~ element(X0,the_carrier(sK19))
| element(X0,the_carrier(poset_of_lattice(sK19))) ),
inference(superposition,[],[f442,f566]) ).
fof(f442,plain,
! [X0,X1] :
( element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1] :
( ~ latt_str(X0)
| element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(rectify,[],[f174]) ).
fof(f174,plain,
! [X1,X0] :
( ~ latt_str(X1)
| element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1)))
| ~ element(X0,the_carrier(X1))
| ~ lattice(X1)
| empty_carrier(X1) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1)))
| ~ lattice(X1)
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ latt_str(X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( lattice(X1)
& element(X0,the_carrier(X1))
& ~ empty_carrier(X1)
& latt_str(X1) )
=> element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1))) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X1,X0] :
( ( element(X1,the_carrier(X0))
& latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattice3) ).
fof(f502,plain,
( join_of_latt_set(sK19,sK20) != join_on_relstr(poset_of_lattice(sK19),sK20)
| spl29_2 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl29_2
<=> join_of_latt_set(sK19,sK20) = join_on_relstr(poset_of_lattice(sK19),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_2])]) ).
fof(f1794,plain,
( spl29_1
| ~ spl29_13
| ~ spl29_23 ),
inference(avatar_contradiction_clause,[],[f1793]) ).
fof(f1793,plain,
( $false
| spl29_1
| ~ spl29_13
| ~ spl29_23 ),
inference(trivial_inequality_removal,[],[f1790]) ).
fof(f1790,plain,
( meet_of_latt_set(sK19,sK20) != meet_of_latt_set(sK19,sK20)
| spl29_1
| ~ spl29_13
| ~ spl29_23 ),
inference(superposition,[],[f498,f1699]) ).
fof(f1699,plain,
( ! [X0] : meet_of_latt_set(sK19,X0) = meet_on_relstr(poset_of_lattice(sK19),X0)
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1698,f816]) ).
fof(f816,plain,
! [X0] : latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0),
inference(subsumption_resolution,[],[f815,f413]) ).
fof(f815,plain,
! [X0] :
( latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0)
| ~ latt_str(sK19) ),
inference(subsumption_resolution,[],[f814,f411]) ).
fof(f814,plain,
! [X0] :
( empty_carrier(sK19)
| ~ latt_str(sK19)
| latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0) ),
inference(resolution,[],[f593,f344]) ).
fof(f344,plain,
! [X0,X1] :
( element(meet_of_latt_set(X1,X0),the_carrier(X1))
| ~ latt_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( empty_carrier(X1)
| element(meet_of_latt_set(X1,X0),the_carrier(X1))
| ~ latt_str(X1) ),
inference(rectify,[],[f215]) ).
fof(f215,plain,
! [X1,X0] :
( empty_carrier(X0)
| element(meet_of_latt_set(X0,X1),the_carrier(X0))
| ~ latt_str(X0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0,X1] :
( element(meet_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& latt_str(X0) )
=> element(meet_of_latt_set(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k16_lattice3) ).
fof(f593,plain,
! [X0] :
( ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0) ),
inference(subsumption_resolution,[],[f592,f411]) ).
fof(f592,plain,
! [X0] :
( latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| empty_carrier(sK19) ),
inference(subsumption_resolution,[],[f591,f412]) ).
fof(f591,plain,
! [X0] :
( latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0)
| ~ lattice(sK19)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| empty_carrier(sK19) ),
inference(subsumption_resolution,[],[f579,f413]) ).
fof(f579,plain,
! [X0] :
( latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0)
| ~ latt_str(sK19)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| empty_carrier(sK19)
| ~ lattice(sK19) ),
inference(resolution,[],[f414,f483]) ).
fof(f483,plain,
! [X2,X0] :
( ~ complete_latt_str(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ element(meet_of_latt_set(X0,X2),the_carrier(X0))
| latt_set_smaller(X0,meet_of_latt_set(X0,X2),X2) ),
inference(equality_resolution,[],[f382]) ).
fof(f382,plain,
! [X2,X0,X1] :
( latt_set_smaller(X0,X1,X2)
| meet_of_latt_set(X0,X2) != X1
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( latt_set_smaller(X0,X1,X2)
& ! [X3] :
( ~ latt_set_smaller(X0,X3,X2)
| below_refl(X0,X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| meet_of_latt_set(X0,X2) != X1 )
& ( meet_of_latt_set(X0,X2) = X1
| ~ latt_set_smaller(X0,X1,X2)
| ( latt_set_smaller(X0,sK11(X0,X1,X2),X2)
& ~ below_refl(X0,sK11(X0,X1,X2),X1)
& element(sK11(X0,X1,X2),the_carrier(X0)) ) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f257,f258]) ).
fof(f258,plain,
! [X0,X1,X2] :
( ? [X4] :
( latt_set_smaller(X0,X4,X2)
& ~ below_refl(X0,X4,X1)
& element(X4,the_carrier(X0)) )
=> ( latt_set_smaller(X0,sK11(X0,X1,X2),X2)
& ~ below_refl(X0,sK11(X0,X1,X2),X1)
& element(sK11(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( latt_set_smaller(X0,X1,X2)
& ! [X3] :
( ~ latt_set_smaller(X0,X3,X2)
| below_refl(X0,X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| meet_of_latt_set(X0,X2) != X1 )
& ( meet_of_latt_set(X0,X2) = X1
| ~ latt_set_smaller(X0,X1,X2)
| ? [X4] :
( latt_set_smaller(X0,X4,X2)
& ~ below_refl(X0,X4,X1)
& element(X4,the_carrier(X0)) ) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0) ),
inference(rectify,[],[f256]) ).
fof(f256,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( latt_set_smaller(X0,X1,X2)
& ! [X3] :
( ~ latt_set_smaller(X0,X3,X2)
| below_refl(X0,X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| meet_of_latt_set(X0,X2) != X1 )
& ( meet_of_latt_set(X0,X2) = X1
| ~ latt_set_smaller(X0,X1,X2)
| ? [X3] :
( latt_set_smaller(X0,X3,X2)
& ~ below_refl(X0,X3,X1)
& element(X3,the_carrier(X0)) ) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0) ),
inference(flattening,[],[f255]) ).
fof(f255,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( latt_set_smaller(X0,X1,X2)
& ! [X3] :
( ~ latt_set_smaller(X0,X3,X2)
| below_refl(X0,X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| meet_of_latt_set(X0,X2) != X1 )
& ( meet_of_latt_set(X0,X2) = X1
| ~ latt_set_smaller(X0,X1,X2)
| ? [X3] :
( latt_set_smaller(X0,X3,X2)
& ~ below_refl(X0,X3,X1)
& element(X3,the_carrier(X0)) ) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( latt_set_smaller(X0,X1,X2)
& ! [X3] :
( ~ latt_set_smaller(X0,X3,X2)
| below_refl(X0,X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
<=> meet_of_latt_set(X0,X2) = X1 )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( meet_of_latt_set(X0,X2) = X1
<=> ( ! [X3] :
( below_refl(X0,X3,X1)
| ~ latt_set_smaller(X0,X3,X2)
| ~ element(X3,the_carrier(X0)) )
& latt_set_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ( lattice(X0)
& complete_latt_str(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( meet_of_latt_set(X0,X2) = X1
<=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( latt_set_smaller(X0,X3,X2)
=> below_refl(X0,X3,X1) ) )
& latt_set_smaller(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_lattice3) ).
fof(f1698,plain,
( ! [X0] :
( ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0)
| meet_of_latt_set(sK19,X0) = meet_on_relstr(poset_of_lattice(sK19),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1697,f762]) ).
fof(f762,plain,
! [X0] : element(meet_of_latt_set(sK19,X0),the_carrier(sK19)),
inference(superposition,[],[f510,f578]) ).
fof(f578,plain,
! [X0] : join_of_latt_set(sK19,a_2_2_lattice3(sK19,X0)) = meet_of_latt_set(sK19,X0),
inference(subsumption_resolution,[],[f577,f411]) ).
fof(f577,plain,
! [X0] :
( join_of_latt_set(sK19,a_2_2_lattice3(sK19,X0)) = meet_of_latt_set(sK19,X0)
| empty_carrier(sK19) ),
inference(resolution,[],[f413,f475]) ).
fof(f475,plain,
! [X0,X1] :
( ~ latt_str(X0)
| empty_carrier(X0)
| meet_of_latt_set(X0,X1) = join_of_latt_set(X0,a_2_2_lattice3(X0,X1)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ! [X1] : meet_of_latt_set(X0,X1) = join_of_latt_set(X0,a_2_2_lattice3(X0,X1))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ! [X1] : meet_of_latt_set(X0,X1) = join_of_latt_set(X0,a_2_2_lattice3(X0,X1))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X1] : meet_of_latt_set(X0,X1) = join_of_latt_set(X0,a_2_2_lattice3(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d22_lattice3) ).
fof(f1697,plain,
( ! [X0] :
( ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0)
| meet_of_latt_set(sK19,X0) = meet_on_relstr(poset_of_lattice(sK19),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1687,f846]) ).
fof(f846,plain,
! [X0,X1] :
( relstr_element_smaller(poset_of_lattice(sK19),X1,X0)
| ~ element(X0,the_carrier(sK19))
| ~ latt_set_smaller(sK19,X0,X1) ),
inference(duplicate_literal_removal,[],[f845]) ).
fof(f845,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK19))
| ~ element(X0,the_carrier(sK19))
| ~ latt_set_smaller(sK19,X0,X1)
| relstr_element_smaller(poset_of_lattice(sK19),X1,X0) ),
inference(superposition,[],[f542,f566]) ).
fof(f542,plain,
! [X0,X1] :
( relstr_element_smaller(poset_of_lattice(sK19),X1,cast_to_el_of_LattPOSet(sK19,X0))
| ~ latt_set_smaller(sK19,X0,X1)
| ~ element(X0,the_carrier(sK19)) ),
inference(subsumption_resolution,[],[f541,f411]) ).
fof(f541,plain,
! [X0,X1] :
( empty_carrier(sK19)
| ~ element(X0,the_carrier(sK19))
| ~ latt_set_smaller(sK19,X0,X1)
| relstr_element_smaller(poset_of_lattice(sK19),X1,cast_to_el_of_LattPOSet(sK19,X0)) ),
inference(subsumption_resolution,[],[f511,f413]) ).
fof(f511,plain,
! [X0,X1] :
( ~ latt_set_smaller(sK19,X0,X1)
| relstr_element_smaller(poset_of_lattice(sK19),X1,cast_to_el_of_LattPOSet(sK19,X0))
| ~ element(X0,the_carrier(sK19))
| ~ latt_str(sK19)
| empty_carrier(sK19) ),
inference(resolution,[],[f412,f340]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ lattice(X0)
| ~ latt_str(X0)
| ~ latt_set_smaller(X0,X2,X1)
| relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ~ lattice(X0)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( ( latt_set_smaller(X0,X2,X1)
| ~ relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) )
& ( relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| ~ latt_set_smaller(X0,X2,X1) ) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ lattice(X0)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( latt_set_smaller(X0,X2,X1)
<=> relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X1,X0] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( latt_set_smaller(X0,X2,X1)
<=> relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) ) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X1,X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0)
& lattice(X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( latt_set_smaller(X0,X2,X1)
<=> relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) ) ) ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X1,X0] :
( ( lattice(X1)
& ~ empty_carrier(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
<=> latt_set_smaller(X1,X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lattice3) ).
fof(f1687,plain,
( ! [X0] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X0))
| meet_of_latt_set(sK19,X0) = meet_on_relstr(poset_of_lattice(sK19),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1686,f816]) ).
fof(f1686,plain,
( ! [X0] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X0))
| meet_of_latt_set(sK19,X0) = meet_on_relstr(poset_of_lattice(sK19),X0)
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1685,f762]) ).
fof(f1685,plain,
( ! [X0] :
( ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X0))
| meet_of_latt_set(sK19,X0) = meet_on_relstr(poset_of_lattice(sK19),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(duplicate_literal_removal,[],[f1682]) ).
fof(f1682,plain,
( ! [X0] :
( ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0)
| meet_of_latt_set(sK19,X0) = meet_on_relstr(poset_of_lattice(sK19),X0)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X0))
| meet_of_latt_set(sK19,X0) = meet_on_relstr(poset_of_lattice(sK19),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1680,f1520]) ).
fof(f1520,plain,
( ! [X0,X1] :
( in(sK25(poset_of_lattice(sK19),X0,X1),a_2_2_lattice3(sK19,X1))
| ~ element(X0,the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,X0)
| meet_on_relstr(poset_of_lattice(sK19),X1) = X0 )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1519,f1365]) ).
fof(f1365,plain,
( ! [X0] : ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1364,f762]) ).
fof(f1364,plain,
( ! [X0] :
( ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1363,f816]) ).
fof(f1363,plain,
( ! [X0] :
( ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1362,f846]) ).
fof(f1362,plain,
( ! [X0] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X0))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1361,f762]) ).
fof(f1361,plain,
( ! [X0] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X0))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1360,f816]) ).
fof(f1360,plain,
( ! [X0] :
( ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X0)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(duplicate_literal_removal,[],[f1357]) ).
fof(f1357,plain,
( ! [X0] :
( ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X0))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X0)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1355,f1079]) ).
fof(f1079,plain,
( ! [X6,X5] :
( in(sK15(poset_of_lattice(sK19),X5,X6),a_2_2_lattice3(sK19,X5))
| ~ element(X6,the_carrier(sK19))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X5)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X5,X6) )
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1078,f1013]) ).
fof(f1013,plain,
( ! [X11,X12] :
( element(sK15(poset_of_lattice(sK19),X11,X12),the_carrier(sK19))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X11)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X11,X12)
| ~ element(X12,the_carrier(sK19)) )
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1012,f561]) ).
fof(f1012,plain,
( ! [X11,X12] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X11,X12)
| ~ element(X12,the_carrier(sK19))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X11)
| ~ rel_str(poset_of_lattice(sK19))
| element(sK15(poset_of_lattice(sK19),X11,X12),the_carrier(sK19)) )
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f999,f668]) ).
fof(f999,plain,
! [X11,X12] :
( ~ antisymmetric_relstr(poset_of_lattice(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X11,X12)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X11)
| ~ element(X12,the_carrier(sK19))
| element(sK15(poset_of_lattice(sK19),X11,X12),the_carrier(sK19))
| ~ rel_str(poset_of_lattice(sK19)) ),
inference(superposition,[],[f401,f964]) ).
fof(f401,plain,
! [X2,X0,X1] :
( element(sK15(X0,X1,X2),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,X2)
| ex_inf_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ( ~ related(X0,sK15(X0,X1,X2),X2)
& relstr_element_smaller(X0,X1,sK15(X0,X1,X2))
& element(sK15(X0,X1,X2),the_carrier(X0)) ) ) )
& ( ( relstr_element_smaller(X0,X1,sK16(X0,X1))
& element(sK16(X0,X1),the_carrier(X0))
& ! [X5] :
( related(X0,X5,sK16(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) ) )
| ~ ex_inf_of_relstr_set(X0,X1) ) )
| ~ antisymmetric_relstr(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f273,f275,f274]) ).
fof(f274,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,sK15(X0,X1,X2),X2)
& relstr_element_smaller(X0,X1,sK15(X0,X1,X2))
& element(sK15(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
! [X0,X1] :
( ? [X4] :
( relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0))
& ! [X5] :
( related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) ) )
=> ( relstr_element_smaller(X0,X1,sK16(X0,X1))
& element(sK16(X0,X1),the_carrier(X0))
& ! [X5] :
( related(X0,X5,sK16(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f273,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) ) )
& ( ? [X4] :
( relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0))
& ! [X5] :
( related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) ) )
| ~ ex_inf_of_relstr_set(X0,X1) ) )
| ~ antisymmetric_relstr(X0) ),
inference(rectify,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) ) )
& ( ? [X2] :
( relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0))
& ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| ~ ex_inf_of_relstr_set(X0,X1) ) )
| ~ antisymmetric_relstr(X0) ),
inference(nnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0))
& ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ antisymmetric_relstr(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_yellow_0) ).
fof(f1078,plain,
( ! [X6,X5] :
( ex_inf_of_relstr_set(poset_of_lattice(sK19),X5)
| ~ element(sK15(poset_of_lattice(sK19),X5,X6),the_carrier(sK19))
| ~ element(X6,the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X5,X6)
| in(sK15(poset_of_lattice(sK19),X5,X6),a_2_2_lattice3(sK19,X5)) )
| ~ spl29_13 ),
inference(forward_demodulation,[],[f1077,f964]) ).
fof(f1077,plain,
( ! [X6,X5] :
( ~ element(X6,the_carrier(poset_of_lattice(sK19)))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X5)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X5,X6)
| ~ element(sK15(poset_of_lattice(sK19),X5,X6),the_carrier(sK19))
| in(sK15(poset_of_lattice(sK19),X5,X6),a_2_2_lattice3(sK19,X5)) )
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1076,f668]) ).
fof(f1076,plain,
! [X6,X5] :
( in(sK15(poset_of_lattice(sK19),X5,X6),a_2_2_lattice3(sK19,X5))
| ~ antisymmetric_relstr(poset_of_lattice(sK19))
| ~ element(sK15(poset_of_lattice(sK19),X5,X6),the_carrier(sK19))
| ~ element(X6,the_carrier(poset_of_lattice(sK19)))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X5,X6)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X5) ),
inference(subsumption_resolution,[],[f1071,f561]) ).
fof(f1071,plain,
! [X6,X5] :
( ~ rel_str(poset_of_lattice(sK19))
| ~ element(X6,the_carrier(poset_of_lattice(sK19)))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X5)
| in(sK15(poset_of_lattice(sK19),X5,X6),a_2_2_lattice3(sK19,X5))
| ~ element(sK15(poset_of_lattice(sK19),X5,X6),the_carrier(sK19))
| ~ antisymmetric_relstr(poset_of_lattice(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X5,X6) ),
inference(resolution,[],[f851,f402]) ).
fof(f402,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,sK15(X0,X1,X2))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ex_inf_of_relstr_set(X0,X1)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f276]) ).
fof(f851,plain,
! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X1,X0)
| in(X0,a_2_2_lattice3(sK19,X1))
| ~ element(X0,the_carrier(sK19)) ),
inference(forward_subsumption_demodulation,[],[f850,f566]) ).
fof(f850,plain,
! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X1,cast_to_el_of_LattPOSet(sK19,X0))
| ~ element(X0,the_carrier(sK19))
| in(X0,a_2_2_lattice3(sK19,X1)) ),
inference(subsumption_resolution,[],[f849,f411]) ).
fof(f849,plain,
! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X1,cast_to_el_of_LattPOSet(sK19,X0))
| ~ element(X0,the_carrier(sK19))
| empty_carrier(sK19)
| in(X0,a_2_2_lattice3(sK19,X1)) ),
inference(subsumption_resolution,[],[f848,f413]) ).
fof(f848,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK19))
| ~ latt_str(sK19)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,cast_to_el_of_LattPOSet(sK19,X0))
| empty_carrier(sK19)
| in(X0,a_2_2_lattice3(sK19,X1)) ),
inference(duplicate_literal_removal,[],[f847]) ).
fof(f847,plain,
! [X0,X1] :
( ~ latt_str(sK19)
| empty_carrier(sK19)
| ~ element(X0,the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,cast_to_el_of_LattPOSet(sK19,X0))
| in(X0,a_2_2_lattice3(sK19,X1))
| ~ element(X0,the_carrier(sK19)) ),
inference(resolution,[],[f553,f485]) ).
fof(f485,plain,
! [X2,X0,X4] :
( ~ latt_set_smaller(X2,X4,X0)
| in(X4,a_2_2_lattice3(X2,X0))
| empty_carrier(X2)
| ~ latt_str(X2)
| ~ element(X4,the_carrier(X2)) ),
inference(equality_resolution,[],[f404]) ).
fof(f404,plain,
! [X2,X0,X1,X4] :
( in(X1,a_2_2_lattice3(X2,X0))
| X1 != X4
| ~ latt_set_smaller(X2,X4,X0)
| ~ element(X4,the_carrier(X2))
| empty_carrier(X2)
| ~ latt_str(X2) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1,X2] :
( ( ( ( sK17(X0,X1,X2) = X1
& latt_set_smaller(X2,sK17(X0,X1,X2),X0)
& element(sK17(X0,X1,X2),the_carrier(X2)) )
| ~ in(X1,a_2_2_lattice3(X2,X0)) )
& ( in(X1,a_2_2_lattice3(X2,X0))
| ! [X4] :
( X1 != X4
| ~ latt_set_smaller(X2,X4,X0)
| ~ element(X4,the_carrier(X2)) ) ) )
| empty_carrier(X2)
| ~ latt_str(X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f278,f279]) ).
fof(f279,plain,
! [X0,X1,X2] :
( ? [X3] :
( X1 = X3
& latt_set_smaller(X2,X3,X0)
& element(X3,the_carrier(X2)) )
=> ( sK17(X0,X1,X2) = X1
& latt_set_smaller(X2,sK17(X0,X1,X2),X0)
& element(sK17(X0,X1,X2),the_carrier(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
! [X0,X1,X2] :
( ( ( ? [X3] :
( X1 = X3
& latt_set_smaller(X2,X3,X0)
& element(X3,the_carrier(X2)) )
| ~ in(X1,a_2_2_lattice3(X2,X0)) )
& ( in(X1,a_2_2_lattice3(X2,X0))
| ! [X4] :
( X1 != X4
| ~ latt_set_smaller(X2,X4,X0)
| ~ element(X4,the_carrier(X2)) ) ) )
| empty_carrier(X2)
| ~ latt_str(X2) ),
inference(rectify,[],[f277]) ).
fof(f277,plain,
! [X2,X1,X0] :
( ( ( ? [X3] :
( X1 = X3
& latt_set_smaller(X0,X3,X2)
& element(X3,the_carrier(X0)) )
| ~ in(X1,a_2_2_lattice3(X0,X2)) )
& ( in(X1,a_2_2_lattice3(X0,X2))
| ! [X3] :
( X1 != X3
| ~ latt_set_smaller(X0,X3,X2)
| ~ element(X3,the_carrier(X0)) ) ) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(nnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X2,X1,X0] :
( ( ? [X3] :
( X1 = X3
& latt_set_smaller(X0,X3,X2)
& element(X3,the_carrier(X0)) )
<=> in(X1,a_2_2_lattice3(X0,X2)) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X2,X1] :
( ( ? [X3] :
( X1 = X3
& latt_set_smaller(X0,X3,X2)
& element(X3,the_carrier(X0)) )
<=> in(X1,a_2_2_lattice3(X0,X2)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X2,X1] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ( ? [X3] :
( X1 = X3
& latt_set_smaller(X0,X3,X2)
& element(X3,the_carrier(X0)) )
<=> in(X1,a_2_2_lattice3(X0,X2)) ) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X1,X0,X2] :
( ( latt_str(X1)
& ~ empty_carrier(X1) )
=> ( in(X0,a_2_2_lattice3(X1,X2))
<=> ? [X3] :
( element(X3,the_carrier(X1))
& X0 = X3
& latt_set_smaller(X1,X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_2_lattice3) ).
fof(f553,plain,
! [X2,X3] :
( latt_set_smaller(sK19,X2,X3)
| ~ element(X2,the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X3,cast_to_el_of_LattPOSet(sK19,X2)) ),
inference(subsumption_resolution,[],[f552,f411]) ).
fof(f552,plain,
! [X2,X3] :
( empty_carrier(sK19)
| latt_set_smaller(sK19,X2,X3)
| ~ element(X2,the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X3,cast_to_el_of_LattPOSet(sK19,X2)) ),
inference(subsumption_resolution,[],[f512,f413]) ).
fof(f512,plain,
! [X2,X3] :
( ~ element(X2,the_carrier(sK19))
| ~ latt_str(sK19)
| empty_carrier(sK19)
| latt_set_smaller(sK19,X2,X3)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X3,cast_to_el_of_LattPOSet(sK19,X2)) ),
inference(resolution,[],[f412,f341]) ).
fof(f341,plain,
! [X2,X0,X1] :
( ~ lattice(X0)
| ~ element(X2,the_carrier(X0))
| ~ latt_str(X0)
| ~ relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| empty_carrier(X0)
| latt_set_smaller(X0,X2,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f1355,plain,
( ! [X4,X5] :
( ~ in(sK15(poset_of_lattice(sK19),X5,meet_of_latt_set(sK19,X4)),a_2_2_lattice3(sK19,X4))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X4),X5)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X5) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1352,f509]) ).
fof(f509,plain,
! [X3,X4] :
( latt_set_smaller(sK19,X3,X4)
| ~ in(X3,a_2_2_lattice3(sK19,X4)) ),
inference(forward_subsumption_demodulation,[],[f508,f507]) ).
fof(f507,plain,
! [X2,X1] :
( sK17(X2,X1,sK19) = X1
| ~ in(X1,a_2_2_lattice3(sK19,X2)) ),
inference(subsumption_resolution,[],[f505,f413]) ).
fof(f505,plain,
! [X2,X1] :
( ~ latt_str(sK19)
| sK17(X2,X1,sK19) = X1
| ~ in(X1,a_2_2_lattice3(sK19,X2)) ),
inference(resolution,[],[f411,f407]) ).
fof(f407,plain,
! [X2,X0,X1] :
( empty_carrier(X2)
| ~ in(X1,a_2_2_lattice3(X2,X0))
| sK17(X0,X1,X2) = X1
| ~ latt_str(X2) ),
inference(cnf_transformation,[],[f280]) ).
fof(f508,plain,
! [X3,X4] :
( latt_set_smaller(sK19,sK17(X4,X3,sK19),X4)
| ~ in(X3,a_2_2_lattice3(sK19,X4)) ),
inference(subsumption_resolution,[],[f506,f413]) ).
fof(f506,plain,
! [X3,X4] :
( latt_set_smaller(sK19,sK17(X4,X3,sK19),X4)
| ~ in(X3,a_2_2_lattice3(sK19,X4))
| ~ latt_str(sK19) ),
inference(resolution,[],[f411,f406]) ).
fof(f406,plain,
! [X2,X0,X1] :
( empty_carrier(X2)
| ~ latt_str(X2)
| ~ in(X1,a_2_2_lattice3(X2,X0))
| latt_set_smaller(X2,sK17(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f1352,plain,
( ! [X0,X1] :
( ~ latt_set_smaller(sK19,sK15(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0)),X0)
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1351,f762]) ).
fof(f1351,plain,
( ! [X0,X1] :
( ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ latt_set_smaller(sK19,sK15(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0)),X0)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(duplicate_literal_removal,[],[f1350]) ).
fof(f1350,plain,
( ! [X0,X1] :
( ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1)
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1)
| ~ latt_set_smaller(sK19,sK15(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0)),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1298,f846]) ).
fof(f1298,plain,
( ! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ latt_set_smaller(sK19,sK15(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0)),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1297,f762]) ).
fof(f1297,plain,
( ! [X0,X1] :
( ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ~ latt_set_smaller(sK19,sK15(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0)),X0)
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(duplicate_literal_removal,[],[f1293]) ).
fof(f1293,plain,
( ! [X0,X1] :
( ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X1)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ latt_set_smaller(sK19,sK15(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0)),X0)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1286,f1013]) ).
fof(f1286,plain,
( ! [X0,X1] :
( ~ element(sK15(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1)),the_carrier(sK19))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X1),X0)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ latt_set_smaller(sK19,sK15(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1)),X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1285,f762]) ).
fof(f1285,plain,
( ! [X0,X1] :
( ~ element(meet_of_latt_set(sK19,X1),the_carrier(sK19))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X1),X0)
| ~ latt_set_smaller(sK19,sK15(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1)),X1)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ element(sK15(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1)),the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1208,f846]) ).
fof(f1208,plain,
( ! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1))
| ~ latt_set_smaller(sK19,sK15(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1)),X1)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ element(sK15(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1)),the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1205,f762]) ).
fof(f1205,plain,
( ! [X0,X1] :
( ~ element(meet_of_latt_set(sK19,X1),the_carrier(sK19))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ latt_set_smaller(sK19,sK15(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1)),X1)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1))
| ~ element(sK15(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1)),the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1151,f899]) ).
fof(f899,plain,
! [X0,X1] :
( related_reflexive(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1))
| ~ latt_set_smaller(sK19,X0,X1)
| ~ element(X0,the_carrier(sK19)) ),
inference(subsumption_resolution,[],[f898,f762]) ).
fof(f898,plain,
! [X0,X1] :
( related_reflexive(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1))
| ~ element(meet_of_latt_set(sK19,X1),the_carrier(sK19))
| ~ latt_set_smaller(sK19,X0,X1)
| ~ element(X0,the_carrier(sK19)) ),
inference(duplicate_literal_removal,[],[f897]) ).
fof(f897,plain,
! [X0,X1] :
( related_reflexive(poset_of_lattice(sK19),X0,meet_of_latt_set(sK19,X1))
| ~ latt_set_smaller(sK19,X0,X1)
| ~ element(X0,the_carrier(sK19))
| ~ element(meet_of_latt_set(sK19,X1),the_carrier(sK19))
| ~ element(X0,the_carrier(sK19))
| ~ element(meet_of_latt_set(sK19,X1),the_carrier(sK19)) ),
inference(resolution,[],[f599,f570]) ).
fof(f599,plain,
! [X6,X5] :
( below_refl(sK19,X5,meet_of_latt_set(sK19,X6))
| ~ element(X5,the_carrier(sK19))
| ~ element(meet_of_latt_set(sK19,X6),the_carrier(sK19))
| ~ latt_set_smaller(sK19,X5,X6) ),
inference(subsumption_resolution,[],[f598,f412]) ).
fof(f598,plain,
! [X6,X5] :
( below_refl(sK19,X5,meet_of_latt_set(sK19,X6))
| ~ element(X5,the_carrier(sK19))
| ~ lattice(sK19)
| ~ element(meet_of_latt_set(sK19,X6),the_carrier(sK19))
| ~ latt_set_smaller(sK19,X5,X6) ),
inference(subsumption_resolution,[],[f597,f413]) ).
fof(f597,plain,
! [X6,X5] :
( ~ latt_str(sK19)
| ~ element(meet_of_latt_set(sK19,X6),the_carrier(sK19))
| ~ element(X5,the_carrier(sK19))
| ~ latt_set_smaller(sK19,X5,X6)
| ~ lattice(sK19)
| below_refl(sK19,X5,meet_of_latt_set(sK19,X6)) ),
inference(subsumption_resolution,[],[f582,f411]) ).
fof(f582,plain,
! [X6,X5] :
( below_refl(sK19,X5,meet_of_latt_set(sK19,X6))
| ~ element(meet_of_latt_set(sK19,X6),the_carrier(sK19))
| empty_carrier(sK19)
| ~ latt_str(sK19)
| ~ lattice(sK19)
| ~ element(X5,the_carrier(sK19))
| ~ latt_set_smaller(sK19,X5,X6) ),
inference(resolution,[],[f414,f484]) ).
fof(f484,plain,
! [X2,X3,X0] :
( ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X3,the_carrier(X0))
| ~ lattice(X0)
| empty_carrier(X0)
| ~ element(meet_of_latt_set(X0,X2),the_carrier(X0))
| below_refl(X0,X3,meet_of_latt_set(X0,X2))
| ~ latt_set_smaller(X0,X3,X2) ),
inference(equality_resolution,[],[f381]) ).
fof(f381,plain,
! [X2,X3,X0,X1] :
( ~ latt_set_smaller(X0,X3,X2)
| below_refl(X0,X3,X1)
| ~ element(X3,the_carrier(X0))
| meet_of_latt_set(X0,X2) != X1
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f1151,plain,
( ! [X0,X1] :
( ~ related_reflexive(poset_of_lattice(sK19),sK15(poset_of_lattice(sK19),X0,X1),X1)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ element(X1,the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1150,f1013]) ).
fof(f1150,plain,
( ! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X0,X1)
| ~ element(sK15(poset_of_lattice(sK19),X0,X1),the_carrier(sK19))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ related_reflexive(poset_of_lattice(sK19),sK15(poset_of_lattice(sK19),X0,X1),X1)
| ~ element(X1,the_carrier(sK19)) )
| ~ spl29_23 ),
inference(duplicate_literal_removal,[],[f1149]) ).
fof(f1149,plain,
( ! [X0,X1] :
( ~ element(X1,the_carrier(sK19))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ related_reflexive(poset_of_lattice(sK19),sK15(poset_of_lattice(sK19),X0,X1),X1)
| ~ element(sK15(poset_of_lattice(sK19),X0,X1),the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,X1)
| ~ element(X1,the_carrier(sK19)) )
| ~ spl29_23 ),
inference(resolution,[],[f978,f984]) ).
fof(f978,plain,
( ! [X0,X1] :
( ~ related(poset_of_lattice(sK19),sK15(poset_of_lattice(sK19),X0,X1),X1)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,X1)
| ~ element(X1,the_carrier(sK19)) )
| ~ spl29_23 ),
inference(backward_demodulation,[],[f803,f964]) ).
fof(f803,plain,
( ! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X0,X1)
| ~ related(poset_of_lattice(sK19),sK15(poset_of_lattice(sK19),X0,X1),X1)
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ element(X1,the_carrier(poset_of_lattice(sK19))) )
| ~ spl29_23 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f802,plain,
( spl29_23
<=> ! [X0,X1] :
( ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,X1)
| ~ element(X1,the_carrier(poset_of_lattice(sK19)))
| ~ related(poset_of_lattice(sK19),sK15(poset_of_lattice(sK19),X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_23])]) ).
fof(f1519,plain,
( ! [X0,X1] :
( ~ ex_inf_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,X0)
| ~ element(X0,the_carrier(sK19))
| in(sK25(poset_of_lattice(sK19),X0,X1),a_2_2_lattice3(sK19,X1))
| meet_on_relstr(poset_of_lattice(sK19),X1) = X0 )
| ~ spl29_13
| ~ spl29_23 ),
inference(duplicate_literal_removal,[],[f1516]) ).
fof(f1516,plain,
( ! [X0,X1] :
( ~ element(X0,the_carrier(sK19))
| meet_on_relstr(poset_of_lattice(sK19),X1) = X0
| ~ element(X0,the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,X0)
| meet_on_relstr(poset_of_lattice(sK19),X1) = X0
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,X0)
| in(sK25(poset_of_lattice(sK19),X0,X1),a_2_2_lattice3(sK19,X1))
| ~ ex_inf_of_relstr_set(poset_of_lattice(sK19),X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1472,f1040]) ).
fof(f1040,plain,
! [X16,X17] :
( element(sK25(poset_of_lattice(sK19),X16,X17),the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X17,X16)
| ~ element(X16,the_carrier(sK19))
| meet_on_relstr(poset_of_lattice(sK19),X17) = X16
| ~ ex_inf_of_relstr_set(poset_of_lattice(sK19),X17) ),
inference(subsumption_resolution,[],[f1004,f561]) ).
fof(f1004,plain,
! [X16,X17] :
( ~ element(X16,the_carrier(sK19))
| ~ ex_inf_of_relstr_set(poset_of_lattice(sK19),X17)
| meet_on_relstr(poset_of_lattice(sK19),X17) = X16
| ~ rel_str(poset_of_lattice(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X17,X16)
| element(sK25(poset_of_lattice(sK19),X16,X17),the_carrier(sK19)) ),
inference(superposition,[],[f445,f964]) ).
fof(f445,plain,
! [X2,X0,X1] :
( element(sK25(X0,X1,X2),the_carrier(X0))
| ~ ex_inf_of_relstr_set(X0,X2)
| meet_on_relstr(X0,X2) = X1
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ relstr_element_smaller(X0,X2,X1) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ! [X1,X2] :
( ~ ex_inf_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ( ( ( relstr_element_smaller(X0,X2,X1)
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X2,X3)
| related(X0,X3,X1) ) )
| meet_on_relstr(X0,X2) != X1 )
& ( meet_on_relstr(X0,X2) = X1
| ~ relstr_element_smaller(X0,X2,X1)
| ( element(sK25(X0,X1,X2),the_carrier(X0))
& relstr_element_smaller(X0,X2,sK25(X0,X1,X2))
& ~ related(X0,sK25(X0,X1,X2),X1) ) ) ) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f303,f304]) ).
fof(f304,plain,
! [X0,X1,X2] :
( ? [X4] :
( element(X4,the_carrier(X0))
& relstr_element_smaller(X0,X2,X4)
& ~ related(X0,X4,X1) )
=> ( element(sK25(X0,X1,X2),the_carrier(X0))
& relstr_element_smaller(X0,X2,sK25(X0,X1,X2))
& ~ related(X0,sK25(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
! [X0] :
( ! [X1,X2] :
( ~ ex_inf_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ( ( ( relstr_element_smaller(X0,X2,X1)
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X2,X3)
| related(X0,X3,X1) ) )
| meet_on_relstr(X0,X2) != X1 )
& ( meet_on_relstr(X0,X2) = X1
| ~ relstr_element_smaller(X0,X2,X1)
| ? [X4] :
( element(X4,the_carrier(X0))
& relstr_element_smaller(X0,X2,X4)
& ~ related(X0,X4,X1) ) ) ) )
| ~ rel_str(X0) ),
inference(rectify,[],[f302]) ).
fof(f302,plain,
! [X0] :
( ! [X1,X2] :
( ~ ex_inf_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ( ( ( relstr_element_smaller(X0,X2,X1)
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X2,X3)
| related(X0,X3,X1) ) )
| meet_on_relstr(X0,X2) != X1 )
& ( meet_on_relstr(X0,X2) = X1
| ~ relstr_element_smaller(X0,X2,X1)
| ? [X3] :
( element(X3,the_carrier(X0))
& relstr_element_smaller(X0,X2,X3)
& ~ related(X0,X3,X1) ) ) ) )
| ~ rel_str(X0) ),
inference(flattening,[],[f301]) ).
fof(f301,plain,
! [X0] :
( ! [X1,X2] :
( ~ ex_inf_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ( ( ( relstr_element_smaller(X0,X2,X1)
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X2,X3)
| related(X0,X3,X1) ) )
| meet_on_relstr(X0,X2) != X1 )
& ( meet_on_relstr(X0,X2) = X1
| ~ relstr_element_smaller(X0,X2,X1)
| ? [X3] :
( element(X3,the_carrier(X0))
& relstr_element_smaller(X0,X2,X3)
& ~ related(X0,X3,X1) ) ) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ! [X1,X2] :
( ~ ex_inf_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ( ( relstr_element_smaller(X0,X2,X1)
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X2,X3)
| related(X0,X3,X1) ) )
<=> meet_on_relstr(X0,X2) = X1 ) )
| ~ rel_str(X0) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ! [X3] :
( related(X0,X3,X1)
| ~ relstr_element_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_element_smaller(X0,X2,X1) )
<=> meet_on_relstr(X0,X2) = X1 )
| ~ ex_inf_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X1,the_carrier(X0))
=> ( ex_inf_of_relstr_set(X0,X2)
=> ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X2,X3)
=> related(X0,X3,X1) ) )
& relstr_element_smaller(X0,X2,X1) )
<=> meet_on_relstr(X0,X2) = X1 ) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( rel_str(X0)
=> ! [X2,X1] :
( element(X2,the_carrier(X0))
=> ( ex_inf_of_relstr_set(X0,X1)
=> ( meet_on_relstr(X0,X1) = X2
<=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) )
& relstr_element_smaller(X0,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_yellow_0) ).
fof(f1472,plain,
( ! [X0,X1] :
( ~ element(sK25(poset_of_lattice(sK19),X1,X0),the_carrier(sK19))
| in(sK25(poset_of_lattice(sK19),X1,X0),a_2_2_lattice3(sK19,X0))
| meet_on_relstr(poset_of_lattice(sK19),X0) = X1
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,X1)
| ~ element(X1,the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1378,f851]) ).
fof(f1378,plain,
( ! [X6,X7] :
( relstr_element_smaller(poset_of_lattice(sK19),X6,sK25(poset_of_lattice(sK19),X7,X6))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X6,X7)
| meet_on_relstr(poset_of_lattice(sK19),X6) = X7
| ~ element(X7,the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(forward_demodulation,[],[f1377,f964]) ).
fof(f1377,plain,
( ! [X6,X7] :
( ~ element(X7,the_carrier(poset_of_lattice(sK19)))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X6,X7)
| relstr_element_smaller(poset_of_lattice(sK19),X6,sK25(poset_of_lattice(sK19),X7,X6))
| meet_on_relstr(poset_of_lattice(sK19),X6) = X7 )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1370,f561]) ).
fof(f1370,plain,
( ! [X6,X7] :
( relstr_element_smaller(poset_of_lattice(sK19),X6,sK25(poset_of_lattice(sK19),X7,X6))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X6,X7)
| ~ rel_str(poset_of_lattice(sK19))
| meet_on_relstr(poset_of_lattice(sK19),X6) = X7
| ~ element(X7,the_carrier(poset_of_lattice(sK19))) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1365,f444]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ ex_inf_of_relstr_set(X0,X2)
| ~ relstr_element_smaller(X0,X2,X1)
| relstr_element_smaller(X0,X2,sK25(X0,X1,X2))
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| meet_on_relstr(X0,X2) = X1 ),
inference(cnf_transformation,[],[f305]) ).
fof(f1680,plain,
( ! [X4,X5] :
( ~ in(sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X5),X4),a_2_2_lattice3(sK19,X5))
| meet_of_latt_set(sK19,X5) = meet_on_relstr(poset_of_lattice(sK19),X4)
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X5),X4) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1668,f509]) ).
fof(f1668,plain,
( ! [X0,X1] :
( ~ latt_set_smaller(sK19,sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X0),X1),X0)
| meet_on_relstr(poset_of_lattice(sK19),X1) = meet_of_latt_set(sK19,X0)
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1667,f762]) ).
fof(f1667,plain,
( ! [X0,X1] :
( ~ latt_set_smaller(sK19,sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X0),X1),X0)
| meet_on_relstr(poset_of_lattice(sK19),X1) = meet_of_latt_set(sK19,X0)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(duplicate_literal_removal,[],[f1666]) ).
fof(f1666,plain,
( ! [X0,X1] :
( ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1)
| ~ latt_set_smaller(sK19,sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X0),X1),X0)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1)
| meet_on_relstr(poset_of_lattice(sK19),X1) = meet_of_latt_set(sK19,X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1665,f846]) ).
fof(f1665,plain,
( ! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0))
| ~ latt_set_smaller(sK19,sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X0),X1),X0)
| meet_on_relstr(poset_of_lattice(sK19),X1) = meet_of_latt_set(sK19,X0)
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1664,f762]) ).
fof(f1664,plain,
( ! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0))
| meet_on_relstr(poset_of_lattice(sK19),X1) = meet_of_latt_set(sK19,X0)
| ~ latt_set_smaller(sK19,sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X0),X1),X0)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(duplicate_literal_removal,[],[f1660]) ).
fof(f1660,plain,
( ! [X0,X1] :
( ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1)
| meet_on_relstr(poset_of_lattice(sK19),X1) = meet_of_latt_set(sK19,X0)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,meet_of_latt_set(sK19,X0))
| meet_on_relstr(poset_of_lattice(sK19),X1) = meet_of_latt_set(sK19,X0)
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19))
| ~ latt_set_smaller(sK19,sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X0),X1),X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1650,f1544]) ).
fof(f1544,plain,
( ! [X0,X1] :
( element(sK25(poset_of_lattice(sK19),X0,X1),the_carrier(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,X0)
| meet_on_relstr(poset_of_lattice(sK19),X1) = X0
| ~ element(X0,the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1520,f813]) ).
fof(f813,plain,
! [X0,X1] :
( ~ in(X1,a_2_2_lattice3(sK19,X0))
| element(X1,the_carrier(sK19)) ),
inference(subsumption_resolution,[],[f812,f411]) ).
fof(f812,plain,
! [X0,X1] :
( empty_carrier(sK19)
| element(X1,the_carrier(sK19))
| ~ in(X1,a_2_2_lattice3(sK19,X0)) ),
inference(subsumption_resolution,[],[f811,f413]) ).
fof(f811,plain,
! [X0,X1] :
( element(X1,the_carrier(sK19))
| ~ latt_str(sK19)
| ~ in(X1,a_2_2_lattice3(sK19,X0))
| empty_carrier(sK19) ),
inference(duplicate_literal_removal,[],[f810]) ).
fof(f810,plain,
! [X0,X1] :
( ~ in(X1,a_2_2_lattice3(sK19,X0))
| ~ in(X1,a_2_2_lattice3(sK19,X0))
| ~ latt_str(sK19)
| element(X1,the_carrier(sK19))
| empty_carrier(sK19) ),
inference(superposition,[],[f405,f507]) ).
fof(f405,plain,
! [X2,X0,X1] :
( element(sK17(X0,X1,X2),the_carrier(X2))
| ~ latt_str(X2)
| empty_carrier(X2)
| ~ in(X1,a_2_2_lattice3(X2,X0)) ),
inference(cnf_transformation,[],[f280]) ).
fof(f1650,plain,
( ! [X0,X1] :
( ~ element(sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X0),X1),the_carrier(sK19))
| ~ latt_set_smaller(sK19,sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X0),X1),X0)
| meet_on_relstr(poset_of_lattice(sK19),X1) = meet_of_latt_set(sK19,X0)
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1649,f762]) ).
fof(f1649,plain,
( ! [X0,X1] :
( ~ latt_set_smaller(sK19,sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X0),X1),X0)
| ~ latt_set_smaller(sK19,meet_of_latt_set(sK19,X0),X1)
| meet_on_relstr(poset_of_lattice(sK19),X1) = meet_of_latt_set(sK19,X0)
| ~ element(sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X0),X1),the_carrier(sK19))
| ~ element(meet_of_latt_set(sK19,X0),the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1543,f846]) ).
fof(f1543,plain,
( ! [X4,X5] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X5,meet_of_latt_set(sK19,X4))
| ~ latt_set_smaller(sK19,sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X4),X5),X4)
| ~ element(sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X4),X5),the_carrier(sK19))
| meet_of_latt_set(sK19,X4) = meet_on_relstr(poset_of_lattice(sK19),X5) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1540,f762]) ).
fof(f1540,plain,
( ! [X4,X5] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X5,meet_of_latt_set(sK19,X4))
| ~ latt_set_smaller(sK19,sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X4),X5),X4)
| ~ element(sK25(poset_of_lattice(sK19),meet_of_latt_set(sK19,X4),X5),the_carrier(sK19))
| ~ element(meet_of_latt_set(sK19,X4),the_carrier(sK19))
| meet_of_latt_set(sK19,X4) = meet_on_relstr(poset_of_lattice(sK19),X5) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1502,f899]) ).
fof(f1502,plain,
( ! [X0,X1] :
( ~ related_reflexive(poset_of_lattice(sK19),sK25(poset_of_lattice(sK19),X0,X1),X0)
| ~ element(X0,the_carrier(sK19))
| meet_on_relstr(poset_of_lattice(sK19),X1) = X0
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1500,f1365]) ).
fof(f1500,plain,
( ! [X0,X1] :
( ~ ex_inf_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ element(X0,the_carrier(sK19))
| ~ related_reflexive(poset_of_lattice(sK19),sK25(poset_of_lattice(sK19),X0,X1),X0)
| meet_on_relstr(poset_of_lattice(sK19),X1) = X0
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,X0) )
| ~ spl29_13
| ~ spl29_23 ),
inference(duplicate_literal_removal,[],[f1498]) ).
fof(f1498,plain,
( ! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X1,X0)
| ~ element(X0,the_carrier(sK19))
| ~ related_reflexive(poset_of_lattice(sK19),sK25(poset_of_lattice(sK19),X0,X1),X0)
| meet_on_relstr(poset_of_lattice(sK19),X1) = X0
| ~ ex_inf_of_relstr_set(poset_of_lattice(sK19),X1)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X1,X0)
| meet_on_relstr(poset_of_lattice(sK19),X1) = X0
| ~ element(X0,the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1469,f1040]) ).
fof(f1469,plain,
( ! [X0,X1] :
( ~ element(sK25(poset_of_lattice(sK19),X1,X0),the_carrier(sK19))
| ~ element(X1,the_carrier(sK19))
| ~ related_reflexive(poset_of_lattice(sK19),sK25(poset_of_lattice(sK19),X1,X0),X1)
| meet_on_relstr(poset_of_lattice(sK19),X0) = X1
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,X1) )
| ~ spl29_13
| ~ spl29_23 ),
inference(duplicate_literal_removal,[],[f1466]) ).
fof(f1466,plain,
( ! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK19),X0,X1)
| meet_on_relstr(poset_of_lattice(sK19),X0) = X1
| ~ related_reflexive(poset_of_lattice(sK19),sK25(poset_of_lattice(sK19),X1,X0),X1)
| ~ element(X1,the_carrier(sK19))
| ~ element(X1,the_carrier(sK19))
| ~ element(sK25(poset_of_lattice(sK19),X1,X0),the_carrier(sK19)) )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1373,f984]) ).
fof(f1373,plain,
( ! [X8,X9] :
( ~ related(poset_of_lattice(sK19),sK25(poset_of_lattice(sK19),X8,X9),X8)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X9,X8)
| ~ element(X8,the_carrier(sK19))
| meet_on_relstr(poset_of_lattice(sK19),X9) = X8 )
| ~ spl29_13
| ~ spl29_23 ),
inference(forward_demodulation,[],[f1372,f964]) ).
fof(f1372,plain,
( ! [X8,X9] :
( ~ element(X8,the_carrier(poset_of_lattice(sK19)))
| meet_on_relstr(poset_of_lattice(sK19),X9) = X8
| ~ relstr_element_smaller(poset_of_lattice(sK19),X9,X8)
| ~ related(poset_of_lattice(sK19),sK25(poset_of_lattice(sK19),X8,X9),X8) )
| ~ spl29_13
| ~ spl29_23 ),
inference(subsumption_resolution,[],[f1371,f561]) ).
fof(f1371,plain,
( ! [X8,X9] :
( ~ rel_str(poset_of_lattice(sK19))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X9,X8)
| ~ element(X8,the_carrier(poset_of_lattice(sK19)))
| ~ related(poset_of_lattice(sK19),sK25(poset_of_lattice(sK19),X8,X9),X8)
| meet_on_relstr(poset_of_lattice(sK19),X9) = X8 )
| ~ spl29_13
| ~ spl29_23 ),
inference(resolution,[],[f1365,f443]) ).
fof(f443,plain,
! [X2,X0,X1] :
( ~ ex_inf_of_relstr_set(X0,X2)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| meet_on_relstr(X0,X2) = X1
| ~ relstr_element_smaller(X0,X2,X1)
| ~ related(X0,sK25(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f305]) ).
fof(f498,plain,
( meet_on_relstr(poset_of_lattice(sK19),sK20) != meet_of_latt_set(sK19,sK20)
| spl29_1 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl29_1
<=> meet_on_relstr(poset_of_lattice(sK19),sK20) = meet_of_latt_set(sK19,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).
fof(f804,plain,
( spl29_23
| ~ spl29_13 ),
inference(avatar_split_clause,[],[f688,f667,f802]) ).
fof(f688,plain,
! [X0,X1] :
( ~ antisymmetric_relstr(poset_of_lattice(sK19))
| ex_inf_of_relstr_set(poset_of_lattice(sK19),X0)
| ~ related(poset_of_lattice(sK19),sK15(poset_of_lattice(sK19),X0,X1),X1)
| ~ element(X1,the_carrier(poset_of_lattice(sK19)))
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,X1) ),
inference(resolution,[],[f561,f403]) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ex_inf_of_relstr_set(X0,X1)
| ~ related(X0,sK15(X0,X1,X2),X2)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f276]) ).
fof(f796,plain,
spl29_13,
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f795,plain,
( $false
| spl29_13 ),
inference(subsumption_resolution,[],[f794,f413]) ).
fof(f794,plain,
( ~ latt_str(sK19)
| spl29_13 ),
inference(subsumption_resolution,[],[f793,f411]) ).
fof(f793,plain,
( empty_carrier(sK19)
| ~ latt_str(sK19)
| spl29_13 ),
inference(subsumption_resolution,[],[f787,f412]) ).
fof(f787,plain,
( ~ lattice(sK19)
| empty_carrier(sK19)
| ~ latt_str(sK19)
| spl29_13 ),
inference(resolution,[],[f669,f359]) ).
fof(f359,plain,
! [X0] :
( antisymmetric_relstr(poset_of_lattice(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f669,plain,
( ~ antisymmetric_relstr(poset_of_lattice(sK19))
| spl29_13 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f727,plain,
spl29_4,
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| spl29_4 ),
inference(subsumption_resolution,[],[f725,f413]) ).
fof(f725,plain,
( ~ latt_str(sK19)
| spl29_4 ),
inference(subsumption_resolution,[],[f724,f411]) ).
fof(f724,plain,
( empty_carrier(sK19)
| ~ latt_str(sK19)
| spl29_4 ),
inference(subsumption_resolution,[],[f723,f412]) ).
fof(f723,plain,
( ~ lattice(sK19)
| ~ latt_str(sK19)
| empty_carrier(sK19)
| spl29_4 ),
inference(resolution,[],[f616,f383]) ).
fof(f383,plain,
! [X0] :
( meet_commutative(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( join_absorbing(X0)
& meet_absorbing(X0)
& ~ empty_carrier(X0)
& meet_commutative(X0) )
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( join_absorbing(X0)
& meet_absorbing(X0)
& ~ empty_carrier(X0)
& meet_commutative(X0) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( latt_str(X0)
=> ( ( lattice(X0)
& ~ empty_carrier(X0) )
=> ( join_absorbing(X0)
& meet_absorbing(X0)
& ~ empty_carrier(X0)
& meet_commutative(X0) ) ) ),
inference(pure_predicate_removal,[],[f118]) ).
fof(f118,plain,
! [X0] :
( latt_str(X0)
=> ( ( lattice(X0)
& ~ empty_carrier(X0) )
=> ( meet_commutative(X0)
& ~ empty_carrier(X0)
& meet_absorbing(X0)
& join_absorbing(X0)
& join_commutative(X0) ) ) ),
inference(pure_predicate_removal,[],[f117]) ).
fof(f117,plain,
! [X0] :
( latt_str(X0)
=> ( ( lattice(X0)
& ~ empty_carrier(X0) )
=> ( meet_commutative(X0)
& ~ empty_carrier(X0)
& meet_absorbing(X0)
& join_associative(X0)
& join_absorbing(X0)
& join_commutative(X0) ) ) ),
inference(pure_predicate_removal,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( latt_str(X0)
=> ( ( lattice(X0)
& ~ empty_carrier(X0) )
=> ( meet_commutative(X0)
& meet_associative(X0)
& ~ empty_carrier(X0)
& meet_absorbing(X0)
& join_associative(X0)
& join_absorbing(X0)
& join_commutative(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f616,plain,
( ~ meet_commutative(sK19)
| spl29_4 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl29_4
<=> meet_commutative(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_4])]) ).
fof(f656,plain,
spl29_3,
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f655,plain,
( $false
| spl29_3 ),
inference(subsumption_resolution,[],[f654,f412]) ).
fof(f654,plain,
( ~ lattice(sK19)
| spl29_3 ),
inference(subsumption_resolution,[],[f653,f411]) ).
fof(f653,plain,
( empty_carrier(sK19)
| ~ lattice(sK19)
| spl29_3 ),
inference(subsumption_resolution,[],[f652,f413]) ).
fof(f652,plain,
( ~ latt_str(sK19)
| ~ lattice(sK19)
| empty_carrier(sK19)
| spl29_3 ),
inference(resolution,[],[f612,f386]) ).
fof(f386,plain,
! [X0] :
( join_absorbing(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f612,plain,
( ~ join_absorbing(sK19)
| spl29_3 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f610,plain,
( spl29_3
<=> join_absorbing(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_3])]) ).
fof(f635,plain,
( ~ spl29_3
| ~ spl29_4
| spl29_8 ),
inference(avatar_split_clause,[],[f631,f633,f614,f610]) ).
fof(f631,plain,
! [X4,X5] :
( ~ element(X5,the_carrier(sK19))
| ~ meet_commutative(sK19)
| ~ join_absorbing(sK19)
| below_refl(sK19,X4,X5)
| ~ element(X4,the_carrier(sK19))
| ~ below(sK19,X4,X5) ),
inference(subsumption_resolution,[],[f630,f411]) ).
fof(f630,plain,
! [X4,X5] :
( ~ below(sK19,X4,X5)
| ~ element(X4,the_carrier(sK19))
| ~ join_absorbing(sK19)
| ~ element(X5,the_carrier(sK19))
| below_refl(sK19,X4,X5)
| ~ meet_commutative(sK19)
| empty_carrier(sK19) ),
inference(subsumption_resolution,[],[f606,f413]) ).
fof(f606,plain,
! [X4,X5] :
( ~ element(X5,the_carrier(sK19))
| below_refl(sK19,X4,X5)
| ~ latt_str(sK19)
| ~ element(X4,the_carrier(sK19))
| ~ below(sK19,X4,X5)
| ~ join_absorbing(sK19)
| ~ meet_commutative(sK19)
| empty_carrier(sK19) ),
inference(resolution,[],[f551,f432]) ).
fof(f432,plain,
! [X2,X0,X1] :
( ~ meet_absorbing(X2)
| ~ join_absorbing(X2)
| below_refl(X2,X0,X1)
| ~ below(X2,X0,X1)
| ~ latt_str(X2)
| empty_carrier(X2)
| ~ element(X0,the_carrier(X2))
| ~ meet_commutative(X2)
| ~ element(X1,the_carrier(X2)) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0,X1,X2] :
( ~ latt_str(X2)
| ~ element(X0,the_carrier(X2))
| ~ join_absorbing(X2)
| ~ meet_commutative(X2)
| ~ meet_absorbing(X2)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2))
| ( ( below(X2,X0,X1)
| ~ below_refl(X2,X0,X1) )
& ( below_refl(X2,X0,X1)
| ~ below(X2,X0,X1) ) ) ),
inference(nnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ~ latt_str(X2)
| ~ element(X0,the_carrier(X2))
| ~ join_absorbing(X2)
| ~ meet_commutative(X2)
| ~ meet_absorbing(X2)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2))
| ( below(X2,X0,X1)
<=> below_refl(X2,X0,X1) ) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X2,X1,X0] :
( ( below(X2,X0,X1)
<=> below_refl(X2,X0,X1) )
| ~ meet_commutative(X2)
| ~ element(X1,the_carrier(X2))
| ~ meet_absorbing(X2)
| ~ latt_str(X2)
| ~ join_absorbing(X2)
| ~ element(X0,the_carrier(X2))
| empty_carrier(X2) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X2,X1,X0] :
( ( meet_commutative(X2)
& element(X1,the_carrier(X2))
& meet_absorbing(X2)
& latt_str(X2)
& join_absorbing(X2)
& element(X0,the_carrier(X2))
& ~ empty_carrier(X2) )
=> ( below(X2,X0,X1)
<=> below_refl(X2,X0,X1) ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X1,X2,X0] :
( ( join_absorbing(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& element(X2,the_carrier(X0))
& latt_str(X0)
& ~ empty_carrier(X0)
& element(X1,the_carrier(X0)) )
=> ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f551,plain,
meet_absorbing(sK19),
inference(subsumption_resolution,[],[f550,f411]) ).
fof(f550,plain,
( empty_carrier(sK19)
| meet_absorbing(sK19) ),
inference(subsumption_resolution,[],[f516,f413]) ).
fof(f516,plain,
( ~ latt_str(sK19)
| empty_carrier(sK19)
| meet_absorbing(sK19) ),
inference(resolution,[],[f412,f385]) ).
fof(f385,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| meet_absorbing(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f620,plain,
( ~ spl29_3
| ~ spl29_4
| spl29_5 ),
inference(avatar_split_clause,[],[f608,f618,f614,f610]) ).
fof(f608,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(sK19))
| ~ element(X0,the_carrier(sK19))
| ~ below_refl(sK19,X0,X1)
| below(sK19,X0,X1)
| ~ meet_commutative(sK19)
| ~ join_absorbing(sK19) ),
inference(subsumption_resolution,[],[f607,f413]) ).
fof(f607,plain,
! [X0,X1] :
( ~ meet_commutative(sK19)
| ~ element(X0,the_carrier(sK19))
| ~ element(X1,the_carrier(sK19))
| below(sK19,X0,X1)
| ~ below_refl(sK19,X0,X1)
| ~ join_absorbing(sK19)
| ~ latt_str(sK19) ),
inference(subsumption_resolution,[],[f604,f411]) ).
fof(f604,plain,
! [X0,X1] :
( empty_carrier(sK19)
| ~ element(X1,the_carrier(sK19))
| ~ meet_commutative(sK19)
| ~ below_refl(sK19,X0,X1)
| ~ element(X0,the_carrier(sK19))
| below(sK19,X0,X1)
| ~ join_absorbing(sK19)
| ~ latt_str(sK19) ),
inference(resolution,[],[f551,f433]) ).
fof(f433,plain,
! [X2,X0,X1] :
( ~ meet_absorbing(X2)
| below(X2,X0,X1)
| ~ meet_commutative(X2)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2))
| ~ latt_str(X2)
| ~ below_refl(X2,X0,X1)
| ~ element(X0,the_carrier(X2))
| ~ join_absorbing(X2) ),
inference(cnf_transformation,[],[f290]) ).
fof(f503,plain,
( ~ spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f410,f500,f496]) ).
fof(f410,plain,
( join_of_latt_set(sK19,sK20) != join_on_relstr(poset_of_lattice(sK19),sK20)
| meet_on_relstr(poset_of_lattice(sK19),sK20) != meet_of_latt_set(sK19,sK20) ),
inference(cnf_transformation,[],[f285]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU358+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 15:33:31 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (26447)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.51 % (26429)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (26429)Instruction limit reached!
% 0.21/0.51 % (26429)------------------------------
% 0.21/0.51 % (26429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (26439)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.52 % (26429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (26429)Termination reason: Unknown
% 0.21/0.52 % (26429)Termination phase: Preprocessing 3
% 0.21/0.52
% 0.21/0.52 % (26429)Memory used [KB]: 1663
% 0.21/0.52 % (26429)Time elapsed: 0.003 s
% 0.21/0.52 % (26429)Instructions burned: 4 (million)
% 0.21/0.52 % (26429)------------------------------
% 0.21/0.52 % (26429)------------------------------
% 0.21/0.52 % (26449)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.53 % (26433)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.53 % (26428)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53 % (26427)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53 % (26431)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53 % (26439)Instruction limit reached!
% 0.21/0.53 % (26439)------------------------------
% 0.21/0.53 % (26439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (26432)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.53 % (26430)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (26439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (26439)Termination reason: Unknown
% 0.21/0.53 % (26439)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (26439)Memory used [KB]: 1918
% 0.21/0.53 % (26439)Time elapsed: 0.122 s
% 0.21/0.53 % (26439)Instructions burned: 16 (million)
% 0.21/0.53 % (26439)------------------------------
% 0.21/0.53 % (26439)------------------------------
% 0.21/0.54 % (26455)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.54 % (26456)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.54 % (26436)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.54 % (26438)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (26441)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (26435)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.54 % (26441)Instruction limit reached!
% 0.21/0.54 % (26441)------------------------------
% 0.21/0.54 % (26441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (26441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (26441)Termination reason: Unknown
% 0.21/0.54 % (26441)Termination phase: Preprocessing 3
% 0.21/0.54
% 0.21/0.54 % (26442)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (26441)Memory used [KB]: 1663
% 0.21/0.54 % (26441)Time elapsed: 0.003 s
% 0.21/0.54 % (26441)Instructions burned: 3 (million)
% 0.21/0.54 % (26441)------------------------------
% 0.21/0.54 % (26441)------------------------------
% 0.21/0.54 % (26438)Instruction limit reached!
% 0.21/0.54 % (26438)------------------------------
% 0.21/0.54 % (26438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (26438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (26438)Termination reason: Unknown
% 0.21/0.54 % (26438)Termination phase: Property scanning
% 0.21/0.54
% 0.21/0.54 % (26438)Memory used [KB]: 1663
% 0.21/0.54 % (26438)Time elapsed: 0.004 s
% 0.21/0.54 % (26438)Instructions burned: 7 (million)
% 0.21/0.54 % (26438)------------------------------
% 0.21/0.54 % (26438)------------------------------
% 0.21/0.54 % (26452)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.38/0.54 % (26437)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.38/0.54 % (26448)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.38/0.54 % (26454)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.38/0.54 % (26450)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.38/0.55 % (26437)Instruction limit reached!
% 1.38/0.55 % (26437)------------------------------
% 1.38/0.55 % (26437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55 % (26437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55 % (26437)Termination reason: Unknown
% 1.38/0.55 % (26437)Termination phase: Saturation
% 1.38/0.55
% 1.38/0.55 % (26437)Memory used [KB]: 6268
% 1.38/0.55 % (26437)Time elapsed: 0.133 s
% 1.38/0.55 % (26437)Instructions burned: 12 (million)
% 1.38/0.55 % (26437)------------------------------
% 1.38/0.55 % (26437)------------------------------
% 1.38/0.55 % (26453)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.38/0.55 % (26443)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.55 % (26434)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.38/0.55 % (26440)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.55 % (26446)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.38/0.55 % (26445)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.38/0.55 % (26451)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.55 % (26445)Instruction limit reached!
% 1.38/0.55 % (26445)------------------------------
% 1.38/0.55 % (26445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55 % (26445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55 % (26445)Termination reason: Unknown
% 1.38/0.55 % (26445)Termination phase: Saturation
% 1.38/0.55
% 1.38/0.55 % (26445)Memory used [KB]: 1535
% 1.38/0.55 % (26445)Time elapsed: 0.003 s
% 1.38/0.55 % (26445)Instructions burned: 3 (million)
% 1.38/0.55 % (26445)------------------------------
% 1.38/0.55 % (26445)------------------------------
% 1.38/0.55 % (26447)Instruction limit reached!
% 1.38/0.55 % (26447)------------------------------
% 1.38/0.55 % (26447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55 % (26455)Instruction limit reached!
% 1.38/0.55 % (26455)------------------------------
% 1.38/0.55 % (26455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55 % (26455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55 % (26455)Termination reason: Unknown
% 1.38/0.55 % (26455)Termination phase: Saturation
% 1.38/0.55
% 1.38/0.55 % (26455)Memory used [KB]: 1663
% 1.38/0.55 % (26455)Time elapsed: 0.005 s
% 1.38/0.55 % (26455)Instructions burned: 8 (million)
% 1.38/0.55 % (26455)------------------------------
% 1.38/0.55 % (26455)------------------------------
% 1.38/0.55 % (26428)Refutation not found, incomplete strategy% (26428)------------------------------
% 1.38/0.55 % (26428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55 % (26428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55 % (26428)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.55
% 1.38/0.55 % (26428)Memory used [KB]: 6268
% 1.38/0.55 % (26428)Time elapsed: 0.144 s
% 1.38/0.55 % (26428)Instructions burned: 8 (million)
% 1.38/0.55 % (26428)------------------------------
% 1.38/0.55 % (26428)------------------------------
% 1.38/0.55 % (26430)Refutation not found, incomplete strategy% (26430)------------------------------
% 1.38/0.55 % (26430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55 % (26430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55 % (26430)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.55
% 1.38/0.55 % (26430)Memory used [KB]: 6140
% 1.38/0.55 % (26430)Time elapsed: 0.143 s
% 1.38/0.55 % (26430)Instructions burned: 5 (million)
% 1.38/0.55 % (26430)------------------------------
% 1.38/0.55 % (26430)------------------------------
% 1.38/0.55 % (26444)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.38/0.56 % (26442)Instruction limit reached!
% 1.38/0.56 % (26442)------------------------------
% 1.38/0.56 % (26442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (26442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (26442)Termination reason: Unknown
% 1.38/0.56 % (26442)Termination phase: Saturation
% 1.38/0.56
% 1.38/0.56 % (26442)Memory used [KB]: 1663
% 1.38/0.56 % (26442)Time elapsed: 0.005 s
% 1.38/0.56 % (26442)Instructions burned: 7 (million)
% 1.38/0.56 % (26442)------------------------------
% 1.38/0.56 % (26442)------------------------------
% 1.38/0.56 % (26447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (26447)Termination reason: Unknown
% 1.38/0.56 % (26447)Termination phase: Saturation
% 1.38/0.56
% 1.38/0.56 % (26447)Memory used [KB]: 6524
% 1.38/0.56 % (26447)Time elapsed: 0.136 s
% 1.38/0.56 % (26447)Instructions burned: 30 (million)
% 1.38/0.56 % (26447)------------------------------
% 1.38/0.56 % (26447)------------------------------
% 1.38/0.56 % (26431)Instruction limit reached!
% 1.38/0.56 % (26431)------------------------------
% 1.38/0.56 % (26431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (26431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (26431)Termination reason: Unknown
% 1.38/0.56 % (26431)Termination phase: Saturation
% 1.38/0.56
% 1.38/0.56 % (26431)Memory used [KB]: 6268
% 1.38/0.56 % (26431)Time elapsed: 0.155 s
% 1.38/0.56 % (26431)Instructions burned: 14 (million)
% 1.38/0.56 % (26431)------------------------------
% 1.38/0.56 % (26431)------------------------------
% 1.38/0.56 % (26444)Instruction limit reached!
% 1.38/0.56 % (26444)------------------------------
% 1.38/0.56 % (26444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (26432)Instruction limit reached!
% 1.38/0.56 % (26432)------------------------------
% 1.38/0.56 % (26432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (26432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (26432)Termination reason: Unknown
% 1.38/0.56 % (26432)Termination phase: Saturation
% 1.38/0.56
% 1.38/0.56 % (26432)Memory used [KB]: 1918
% 1.38/0.56 % (26432)Time elapsed: 0.145 s
% 1.38/0.56 % (26432)Instructions burned: 15 (million)
% 1.38/0.56 % (26432)------------------------------
% 1.38/0.56 % (26432)------------------------------
% 1.66/0.57 % (26444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57 % (26444)Termination reason: Unknown
% 1.66/0.57 % (26444)Termination phase: Preprocessing 3
% 1.66/0.57
% 1.66/0.57 % (26444)Memory used [KB]: 1663
% 1.66/0.57 % (26444)Time elapsed: 0.004 s
% 1.66/0.57 % (26444)Instructions burned: 4 (million)
% 1.66/0.57 % (26444)------------------------------
% 1.66/0.57 % (26444)------------------------------
% 1.66/0.57 % (26440)Refutation not found, incomplete strategy% (26440)------------------------------
% 1.66/0.57 % (26440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57 % (26440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57 % (26440)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.57
% 1.66/0.57 % (26440)Memory used [KB]: 6268
% 1.66/0.57 % (26440)Time elapsed: 0.151 s
% 1.66/0.57 % (26440)Instructions burned: 11 (million)
% 1.66/0.57 % (26440)------------------------------
% 1.66/0.57 % (26440)------------------------------
% 1.66/0.57 % (26446)Instruction limit reached!
% 1.66/0.57 % (26446)------------------------------
% 1.66/0.57 % (26446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57 % (26446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57 % (26446)Termination reason: Unknown
% 1.66/0.57 % (26446)Termination phase: Saturation
% 1.66/0.57
% 1.66/0.57 % (26446)Memory used [KB]: 6396
% 1.66/0.57 % (26446)Time elapsed: 0.147 s
% 1.66/0.57 % (26446)Instructions burned: 11 (million)
% 1.66/0.57 % (26446)------------------------------
% 1.66/0.57 % (26446)------------------------------
% 1.66/0.57 % (26433)Instruction limit reached!
% 1.66/0.57 % (26433)------------------------------
% 1.66/0.57 % (26433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57 % (26433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57 % (26433)Termination reason: Unknown
% 1.66/0.57 % (26433)Termination phase: Saturation
% 1.66/0.57
% 1.66/0.57 % (26433)Memory used [KB]: 6524
% 1.66/0.57 % (26433)Time elapsed: 0.135 s
% 1.66/0.57 % (26433)Instructions burned: 39 (million)
% 1.66/0.57 % (26433)------------------------------
% 1.66/0.57 % (26433)------------------------------
% 1.66/0.58 % (26456)Instruction limit reached!
% 1.66/0.58 % (26456)------------------------------
% 1.66/0.58 % (26456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58 % (26456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58 % (26456)Termination reason: Unknown
% 1.66/0.58 % (26456)Termination phase: Saturation
% 1.66/0.58
% 1.66/0.58 % (26456)Memory used [KB]: 6524
% 1.66/0.58 % (26456)Time elapsed: 0.163 s
% 1.66/0.58 % (26456)Instructions burned: 25 (million)
% 1.66/0.58 % (26456)------------------------------
% 1.66/0.58 % (26456)------------------------------
% 1.66/0.58 % (26436)Instruction limit reached!
% 1.66/0.58 % (26436)------------------------------
% 1.66/0.58 % (26436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58 % (26436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58 % (26436)Termination reason: Unknown
% 1.66/0.58 % (26436)Termination phase: Saturation
% 1.66/0.58
% 1.66/0.58 % (26436)Memory used [KB]: 6908
% 1.66/0.58 % (26436)Time elapsed: 0.173 s
% 1.66/0.58 % (26436)Instructions burned: 33 (million)
% 1.66/0.58 % (26436)------------------------------
% 1.66/0.58 % (26436)------------------------------
% 1.66/0.59 % (26454)Instruction limit reached!
% 1.66/0.59 % (26454)------------------------------
% 1.66/0.59 % (26454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.59 % (26454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.59 % (26454)Termination reason: Unknown
% 1.66/0.59 % (26454)Termination phase: Saturation
% 1.66/0.59
% 1.66/0.59 % (26454)Memory used [KB]: 6652
% 1.66/0.59 % (26454)Time elapsed: 0.188 s
% 1.66/0.59 % (26454)Instructions burned: 25 (million)
% 1.66/0.59 % (26454)------------------------------
% 1.66/0.59 % (26454)------------------------------
% 1.66/0.61 % (26435)Instruction limit reached!
% 1.66/0.61 % (26435)------------------------------
% 1.66/0.61 % (26435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.61 % (26435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.61 % (26435)Termination reason: Unknown
% 1.66/0.61 % (26435)Termination phase: Saturation
% 1.66/0.61
% 1.66/0.61 % (26435)Memory used [KB]: 6908
% 1.66/0.61 % (26435)Time elapsed: 0.179 s
% 1.66/0.61 % (26435)Instructions burned: 49 (million)
% 1.66/0.61 % (26435)------------------------------
% 1.66/0.61 % (26435)------------------------------
% 1.66/0.62 % (26450)Instruction limit reached!
% 1.66/0.62 % (26450)------------------------------
% 1.66/0.62 % (26450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.62 % (26450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.62 % (26450)Termination reason: Unknown
% 1.66/0.62 % (26450)Termination phase: Saturation
% 1.66/0.62
% 1.66/0.62 % (26450)Memory used [KB]: 2430
% 1.66/0.62 % (26450)Time elapsed: 0.218 s
% 1.66/0.62 % (26450)Instructions burned: 46 (million)
% 1.66/0.62 % (26450)------------------------------
% 1.66/0.62 % (26450)------------------------------
% 1.66/0.63 % (26434)Instruction limit reached!
% 1.66/0.63 % (26434)------------------------------
% 1.66/0.63 % (26434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.63 % (26434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.63 % (26434)Termination reason: Unknown
% 1.66/0.63 % (26434)Termination phase: Saturation
% 1.66/0.63
% 1.66/0.63 % (26434)Memory used [KB]: 6908
% 1.66/0.63 % (26434)Time elapsed: 0.206 s
% 1.66/0.63 % (26434)Instructions burned: 39 (million)
% 1.66/0.63 % (26434)------------------------------
% 1.66/0.63 % (26434)------------------------------
% 1.66/0.63 % (26457)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.66/0.63 % (26457)Refutation not found, incomplete strategy% (26457)------------------------------
% 1.66/0.63 % (26457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.63 % (26457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.63 % (26457)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.63
% 1.66/0.63 % (26457)Memory used [KB]: 6012
% 1.66/0.63 % (26457)Time elapsed: 0.060 s
% 1.66/0.63 % (26457)Instructions burned: 2 (million)
% 1.66/0.63 % (26457)------------------------------
% 1.66/0.63 % (26457)------------------------------
% 1.66/0.64 % (26443)Instruction limit reached!
% 1.66/0.64 % (26443)------------------------------
% 1.66/0.64 % (26443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.64 % (26443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.64 % (26443)Termination reason: Unknown
% 1.66/0.64 % (26443)Termination phase: Saturation
% 1.66/0.64
% 1.66/0.64 % (26443)Memory used [KB]: 7419
% 1.66/0.64 % (26443)Time elapsed: 0.222 s
% 1.66/0.64 % (26443)Instructions burned: 50 (million)
% 1.66/0.64 % (26443)------------------------------
% 1.66/0.64 % (26443)------------------------------
% 2.02/0.65 % (26449)Instruction limit reached!
% 2.02/0.65 % (26449)------------------------------
% 2.02/0.65 % (26449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.65 % (26449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.65 % (26449)Termination reason: Unknown
% 2.02/0.65 % (26449)Termination phase: Saturation
% 2.02/0.65
% 2.02/0.65 % (26449)Memory used [KB]: 7164
% 2.02/0.65 % (26449)Time elapsed: 0.185 s
% 2.02/0.65 % (26449)Instructions burned: 82 (million)
% 2.02/0.65 % (26449)------------------------------
% 2.02/0.65 % (26449)------------------------------
% 2.02/0.65 % (26458)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.02/0.65 % (26451)Instruction limit reached!
% 2.02/0.65 % (26451)------------------------------
% 2.02/0.65 % (26451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.65 % (26451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.65 % (26451)Termination reason: Unknown
% 2.02/0.65 % (26451)Termination phase: Saturation
% 2.02/0.65
% 2.02/0.65 % (26451)Memory used [KB]: 6652
% 2.02/0.65 % (26451)Time elapsed: 0.218 s
% 2.02/0.65 % (26451)Instructions burned: 51 (million)
% 2.02/0.65 % (26451)------------------------------
% 2.02/0.65 % (26451)------------------------------
% 2.02/0.66 % (26459)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.02/0.66 % (26460)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.02/0.68 % (26458)Instruction limit reached!
% 2.02/0.68 % (26458)------------------------------
% 2.02/0.68 % (26458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.68 % (26458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.68 % (26458)Termination reason: Unknown
% 2.02/0.68 % (26458)Termination phase: Saturation
% 2.02/0.68
% 2.02/0.68 % (26458)Memory used [KB]: 10618
% 2.02/0.68 % (26458)Time elapsed: 0.096 s
% 2.02/0.68 % (26458)Instructions burned: 8 (million)
% 2.02/0.68 % (26458)------------------------------
% 2.02/0.68 % (26458)------------------------------
% 2.12/0.68 % (26461)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.12/0.68 % (26462)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.12/0.68 % (26466)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.12/0.68 % (26463)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.12/0.69 % (26468)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/131Mi)
% 2.12/0.69 % (26465)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.12/0.69 % (26467)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/84Mi)
% 2.12/0.69 % (26464)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.12/0.70 % (26463)Refutation not found, incomplete strategy% (26463)------------------------------
% 2.12/0.70 % (26463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.70 % (26463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.70 % (26463)Termination reason: Refutation not found, incomplete strategy
% 2.12/0.70
% 2.12/0.70 % (26463)Memory used [KB]: 6140
% 2.12/0.70 % (26463)Time elapsed: 0.117 s
% 2.12/0.70 % (26463)Instructions burned: 5 (million)
% 2.12/0.70 % (26463)------------------------------
% 2.12/0.70 % (26463)------------------------------
% 2.12/0.70 % (26472)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.12/0.71 % (26469)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/93Mi)
% 2.12/0.71 % (26471)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.12/0.71 % (26465)Refutation not found, incomplete strategy% (26465)------------------------------
% 2.12/0.71 % (26465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.71 % (26465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.71 % (26465)Termination reason: Refutation not found, incomplete strategy
% 2.12/0.71
% 2.12/0.71 % (26465)Memory used [KB]: 6268
% 2.12/0.71 % (26465)Time elapsed: 0.126 s
% 2.12/0.71 % (26465)Instructions burned: 8 (million)
% 2.12/0.71 % (26465)------------------------------
% 2.12/0.71 % (26465)------------------------------
% 2.12/0.71 % (26470)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.12/0.72 % (26448)Instruction limit reached!
% 2.12/0.72 % (26448)------------------------------
% 2.12/0.72 % (26448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.72 % (26448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.72 % (26448)Termination reason: Unknown
% 2.12/0.72 % (26448)Termination phase: Saturation
% 2.12/0.72
% 2.12/0.72 % (26448)Memory used [KB]: 7931
% 2.12/0.72 % (26448)Time elapsed: 0.317 s
% 2.12/0.72 % (26448)Instructions burned: 99 (million)
% 2.12/0.72 % (26448)------------------------------
% 2.12/0.72 % (26448)------------------------------
% 2.12/0.72 % (26467)Refutation not found, incomplete strategy% (26467)------------------------------
% 2.12/0.72 % (26467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.72 % (26467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.72 % (26467)Termination reason: Refutation not found, incomplete strategy
% 2.12/0.72
% 2.12/0.72 % (26474)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.12/0.72 % (26467)Memory used [KB]: 6396
% 2.12/0.72 % (26467)Time elapsed: 0.136 s
% 2.12/0.72 % (26467)Instructions burned: 16 (million)
% 2.12/0.72 % (26467)------------------------------
% 2.12/0.72 % (26467)------------------------------
% 2.12/0.72 % (26476)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.12/0.73 % (26475)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.12/0.73 % (26452)Instruction limit reached!
% 2.12/0.73 % (26452)------------------------------
% 2.12/0.73 % (26452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.73 % (26452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.73 % (26452)Termination reason: Unknown
% 2.12/0.73 % (26452)Termination phase: Saturation
% 2.12/0.73
% 2.12/0.73 % (26452)Memory used [KB]: 7803
% 2.12/0.73 % (26452)Time elapsed: 0.296 s
% 2.12/0.73 % (26452)Instructions burned: 96 (million)
% 2.12/0.73 % (26452)------------------------------
% 2.12/0.73 % (26452)------------------------------
% 2.12/0.73 % (26472)Instruction limit reached!
% 2.12/0.73 % (26472)------------------------------
% 2.12/0.73 % (26472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.73 % (26472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.73 % (26472)Termination reason: Unknown
% 2.12/0.73 % (26472)Termination phase: Saturation
% 2.12/0.73
% 2.12/0.73 % (26472)Memory used [KB]: 6396
% 2.12/0.73 % (26472)Time elapsed: 0.136 s
% 2.12/0.73 % (26472)Instructions burned: 15 (million)
% 2.12/0.73 % (26472)------------------------------
% 2.12/0.73 % (26472)------------------------------
% 2.32/0.74 % (26473)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.32/0.74 % (26453)Instruction limit reached!
% 2.32/0.74 % (26453)------------------------------
% 2.32/0.74 % (26453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.74 % (26453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.74 % (26453)Termination reason: Unknown
% 2.32/0.74 % (26453)Termination phase: Saturation
% 2.32/0.74
% 2.32/0.74 % (26453)Memory used [KB]: 7675
% 2.32/0.74 % (26453)Time elapsed: 0.309 s
% 2.32/0.74 % (26453)Instructions burned: 100 (million)
% 2.32/0.74 % (26453)------------------------------
% 2.32/0.74 % (26453)------------------------------
% 2.32/0.74 % (26470)Refutation not found, incomplete strategy% (26470)------------------------------
% 2.32/0.74 % (26470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.74 % (26470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.74 % (26470)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.74
% 2.32/0.74 % (26470)Memory used [KB]: 6268
% 2.32/0.74 % (26470)Time elapsed: 0.140 s
% 2.32/0.74 % (26470)Instructions burned: 13 (million)
% 2.32/0.74 % (26470)------------------------------
% 2.32/0.74 % (26470)------------------------------
% 2.32/0.75 % (26477)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.32/0.75 % (26475)Refutation not found, incomplete strategy% (26475)------------------------------
% 2.32/0.75 % (26475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.75 % (26475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.75 % (26475)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.75
% 2.32/0.75 % (26475)Memory used [KB]: 6012
% 2.32/0.75 % (26475)Time elapsed: 0.139 s
% 2.32/0.75 % (26475)Instructions burned: 5 (million)
% 2.32/0.75 % (26475)------------------------------
% 2.32/0.75 % (26475)------------------------------
% 2.46/0.75 % (26477)Refutation not found, incomplete strategy% (26477)------------------------------
% 2.46/0.75 % (26477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.75 % (26477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.75 % (26477)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.75
% 2.46/0.75 % (26477)Memory used [KB]: 6012
% 2.46/0.75 % (26477)Time elapsed: 0.031 s
% 2.46/0.75 % (26477)Instructions burned: 3 (million)
% 2.46/0.75 % (26477)------------------------------
% 2.46/0.75 % (26477)------------------------------
% 2.46/0.75 % (26478)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/237Mi)
% 2.46/0.75 % (26462)Instruction limit reached!
% 2.46/0.75 % (26462)------------------------------
% 2.46/0.75 % (26462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.75 % (26462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.75 % (26462)Termination reason: Unknown
% 2.46/0.75 % (26462)Termination phase: Saturation
% 2.46/0.75
% 2.46/0.75 % (26462)Memory used [KB]: 6652
% 2.46/0.75 % (26462)Time elapsed: 0.099 s
% 2.46/0.75 % (26462)Instructions burned: 57 (million)
% 2.46/0.75 % (26462)------------------------------
% 2.46/0.75 % (26462)------------------------------
% 2.46/0.76 % (26479)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 2.46/0.76 % (26480)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/472Mi)
% 2.46/0.77 % (26476)Instruction limit reached!
% 2.46/0.77 % (26476)------------------------------
% 2.46/0.77 % (26476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.77 % (26476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.77 % (26476)Termination reason: Unknown
% 2.46/0.77 % (26476)Termination phase: Saturation
% 2.46/0.77
% 2.46/0.77 % (26476)Memory used [KB]: 6524
% 2.46/0.77 % (26476)Time elapsed: 0.135 s
% 2.46/0.77 % (26476)Instructions burned: 19 (million)
% 2.46/0.77 % (26476)------------------------------
% 2.46/0.77 % (26476)------------------------------
% 2.46/0.78 % (26464)Instruction limit reached!
% 2.46/0.78 % (26464)------------------------------
% 2.46/0.78 % (26464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.78 % (26464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.78 % (26464)Termination reason: Unknown
% 2.46/0.78 % (26464)Termination phase: Saturation
% 2.46/0.78
% 2.46/0.78 % (26464)Memory used [KB]: 6780
% 2.46/0.78 % (26464)Time elapsed: 0.175 s
% 2.46/0.78 % (26464)Instructions burned: 42 (million)
% 2.46/0.78 % (26464)------------------------------
% 2.46/0.78 % (26464)------------------------------
% 2.46/0.78 % (26481)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 2.46/0.78 % (26482)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/97Mi)
% 2.46/0.78 % (26479)Instruction limit reached!
% 2.46/0.78 % (26479)------------------------------
% 2.46/0.78 % (26479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.78 % (26479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.78 % (26479)Termination reason: Unknown
% 2.46/0.78 % (26479)Termination phase: Saturation
% 2.46/0.78
% 2.46/0.78 % (26479)Memory used [KB]: 6268
% 2.46/0.78 % (26479)Time elapsed: 0.136 s
% 2.46/0.78 % (26479)Instructions burned: 11 (million)
% 2.46/0.78 % (26479)------------------------------
% 2.46/0.78 % (26479)------------------------------
% 2.46/0.78 % (26480)Refutation not found, incomplete strategy% (26480)------------------------------
% 2.46/0.78 % (26480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.78 % (26480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.78 % (26480)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.78
% 2.46/0.78 % (26480)Memory used [KB]: 6140
% 2.46/0.78 % (26480)Time elapsed: 0.127 s
% 2.46/0.78 % (26480)Instructions burned: 6 (million)
% 2.46/0.78 % (26480)------------------------------
% 2.46/0.78 % (26480)------------------------------
% 2.46/0.79 % (26473)Instruction limit reached!
% 2.46/0.79 % (26473)------------------------------
% 2.46/0.79 % (26473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.79 % (26473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.79 % (26473)Termination reason: Unknown
% 2.46/0.79 % (26473)Termination phase: Saturation
% 2.46/0.79
% 2.46/0.79 % (26473)Memory used [KB]: 6652
% 2.46/0.79 % (26473)Time elapsed: 0.169 s
% 2.46/0.79 % (26473)Instructions burned: 32 (million)
% 2.46/0.79 % (26473)------------------------------
% 2.46/0.79 % (26473)------------------------------
% 2.46/0.79 % (26483)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 2.46/0.79 % (26460)Instruction limit reached!
% 2.46/0.79 % (26460)------------------------------
% 2.46/0.79 % (26460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.79 % (26460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.79 % (26460)Termination reason: Unknown
% 2.46/0.79 % (26460)Termination phase: Saturation
% 2.46/0.79
% 2.46/0.79 % (26460)Memory used [KB]: 2686
% 2.46/0.79 % (26460)Time elapsed: 0.223 s
% 2.46/0.79 % (26460)Instructions burned: 70 (million)
% 2.46/0.79 % (26460)------------------------------
% 2.46/0.79 % (26460)------------------------------
% 2.46/0.80 % (26484)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/138Mi)
% 2.46/0.80 % (26482)Refutation not found, incomplete strategy% (26482)------------------------------
% 2.46/0.80 % (26482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.80 % (26482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.80 % (26482)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.80
% 2.46/0.80 % (26482)Memory used [KB]: 6396
% 2.46/0.80 % (26482)Time elapsed: 0.135 s
% 2.46/0.80 % (26482)Instructions burned: 11 (million)
% 2.46/0.80 % (26482)------------------------------
% 2.46/0.80 % (26482)------------------------------
% 2.46/0.81 % (26466)Instruction limit reached!
% 2.46/0.81 % (26466)------------------------------
% 2.46/0.81 % (26466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.81 % (26466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.81 % (26466)Termination reason: Unknown
% 2.46/0.81 % (26466)Termination phase: Saturation
% 2.46/0.81
% 2.46/0.81 % (26466)Memory used [KB]: 7547
% 2.46/0.81 % (26466)Time elapsed: 0.221 s
% 2.46/0.81 % (26466)Instructions burned: 69 (million)
% 2.46/0.81 % (26466)------------------------------
% 2.46/0.81 % (26466)------------------------------
% 3.02/0.81 % (26459)Instruction limit reached!
% 3.02/0.81 % (26459)------------------------------
% 3.02/0.81 % (26459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.81 % (26459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.81 % (26459)Termination reason: Unknown
% 3.02/0.81 % (26459)Termination phase: Saturation
% 3.02/0.81
% 3.02/0.81 % (26459)Memory used [KB]: 6652
% 3.02/0.81 % (26459)Time elapsed: 0.242 s
% 3.02/0.81 % (26459)Instructions burned: 87 (million)
% 3.02/0.81 % (26459)------------------------------
% 3.02/0.81 % (26459)------------------------------
% 3.02/0.81 % (26483)Refutation not found, incomplete strategy% (26483)------------------------------
% 3.02/0.81 % (26483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.81 % (26483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.81 % (26483)Termination reason: Refutation not found, incomplete strategy
% 3.02/0.81
% 3.02/0.81 % (26483)Memory used [KB]: 1663
% 3.02/0.81 % (26483)Time elapsed: 0.137 s
% 3.02/0.81 % (26483)Instructions burned: 3 (million)
% 3.02/0.81 % (26483)------------------------------
% 3.02/0.81 % (26483)------------------------------
% 3.02/0.83 % (26481)Instruction limit reached!
% 3.02/0.83 % (26481)------------------------------
% 3.02/0.83 % (26481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.83 % (26481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.83 % (26481)Termination reason: Unknown
% 3.02/0.83 % (26481)Termination phase: Saturation
% 3.02/0.83
% 3.02/0.83 % (26481)Memory used [KB]: 6396
% 3.02/0.83 % (26481)Time elapsed: 0.150 s
% 3.02/0.83 % (26481)Instructions burned: 22 (million)
% 3.02/0.83 % (26481)------------------------------
% 3.02/0.83 % (26481)------------------------------
% 3.02/0.83 % (26485)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/393Mi)
% 3.02/0.84 % (26486)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 3.02/0.85 % (26487)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 3.02/0.86 % (26491)dis+1003_1:128_atotf=0.3:bce=on:newcnf=on:urr=on:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/86Mi)
% 3.20/0.86 % (26469)Instruction limit reached!
% 3.20/0.86 % (26469)------------------------------
% 3.20/0.86 % (26469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.86 % (26469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.86 % (26469)Termination reason: Unknown
% 3.20/0.86 % (26469)Termination phase: Saturation
% 3.20/0.86
% 3.20/0.86 % (26469)Memory used [KB]: 7803
% 3.20/0.86 % (26469)Time elapsed: 0.264 s
% 3.20/0.86 % (26469)Instructions burned: 94 (million)
% 3.20/0.86 % (26469)------------------------------
% 3.20/0.86 % (26469)------------------------------
% 3.20/0.86 % (26488)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/23Mi)
% 3.20/0.86 % (26471)Instruction limit reached!
% 3.20/0.86 % (26471)------------------------------
% 3.20/0.86 % (26471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.86 % (26471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.86 % (26471)Termination reason: Unknown
% 3.20/0.86 % (26471)Termination phase: Saturation
% 3.20/0.86
% 3.20/0.86 % (26471)Memory used [KB]: 7164
% 3.20/0.86 % (26471)Time elapsed: 0.268 s
% 3.20/0.86 % (26471)Instructions burned: 88 (million)
% 3.20/0.86 % (26471)------------------------------
% 3.20/0.86 % (26471)------------------------------
% 3.20/0.86 % (26489)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=221:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/221Mi)
% 3.20/0.87 % (26494)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=118:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/118Mi)
% 3.20/0.87 % (26490)lrs+35_1:2_av=off:bsr=unit_only:flr=on:lcm=predicate:sp=frequency:i=222:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/222Mi)
% 3.20/0.87 % (26495)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/34Mi)
% 3.20/0.87 % (26492)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=79:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/79Mi)
% 3.20/0.87 % (26487)Refutation not found, incomplete strategy% (26487)------------------------------
% 3.20/0.87 % (26487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.87 % (26487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.87 % (26487)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.87
% 3.20/0.87 % (26487)Memory used [KB]: 6396
% 3.20/0.87 % (26487)Time elapsed: 0.142 s
% 3.20/0.87 % (26487)Instructions burned: 21 (million)
% 3.20/0.87 % (26487)------------------------------
% 3.20/0.87 % (26487)------------------------------
% 3.20/0.88 % (26489)Refutation not found, incomplete strategy% (26489)------------------------------
% 3.20/0.88 % (26489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.88 % (26489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.88 % (26489)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.88
% 3.20/0.88 % (26489)Memory used [KB]: 6268
% 3.20/0.88 % (26489)Time elapsed: 0.113 s
% 3.20/0.88 % (26489)Instructions burned: 8 (million)
% 3.20/0.88 % (26489)------------------------------
% 3.20/0.88 % (26489)------------------------------
% 3.20/0.89 % (26493)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/377Mi)
% 3.20/0.89 % (26461)Instruction limit reached!
% 3.20/0.89 % (26461)------------------------------
% 3.20/0.89 % (26461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.89 % (26461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.89 % (26461)Termination reason: Unknown
% 3.20/0.89 % (26461)Termination phase: Saturation
% 3.20/0.89
% 3.20/0.89 % (26461)Memory used [KB]: 2558
% 3.20/0.89 % (26461)Time elapsed: 0.317 s
% 3.20/0.89 % (26461)Instructions burned: 108 (million)
% 3.20/0.89 % (26461)------------------------------
% 3.20/0.89 % (26461)------------------------------
% 3.20/0.90 % (26496)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/113Mi)
% 3.20/0.91 % (26497)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/8Mi)
% 3.20/0.91 % (26488)Instruction limit reached!
% 3.20/0.91 % (26488)------------------------------
% 3.20/0.91 % (26488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.91 % (26488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.91 % (26488)Termination reason: Unknown
% 3.20/0.91 % (26488)Termination phase: Saturation
% 3.20/0.91
% 3.20/0.91 % (26488)Memory used [KB]: 6780
% 3.20/0.91 % (26488)Time elapsed: 0.148 s
% 3.20/0.91 % (26488)Instructions burned: 24 (million)
% 3.20/0.91 % (26488)------------------------------
% 3.20/0.91 % (26488)------------------------------
% 3.20/0.91 % (26498)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=390:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/390Mi)
% 3.20/0.92 % (26498)Refutation not found, incomplete strategy% (26498)------------------------------
% 3.20/0.92 % (26498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.92 % (26498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.92 % (26498)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.92
% 3.20/0.92 % (26498)Memory used [KB]: 6012
% 3.20/0.92 % (26498)Time elapsed: 0.097 s
% 3.20/0.92 % (26498)Instructions burned: 3 (million)
% 3.20/0.92 % (26498)------------------------------
% 3.20/0.92 % (26498)------------------------------
% 3.20/0.92 % (26495)Instruction limit reached!
% 3.20/0.92 % (26495)------------------------------
% 3.20/0.92 % (26495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.92 % (26495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.92 % (26495)Termination reason: Unknown
% 3.20/0.92 % (26495)Termination phase: Saturation
% 3.20/0.92
% 3.20/0.92 % (26495)Memory used [KB]: 11769
% 3.20/0.92 % (26495)Time elapsed: 0.046 s
% 3.20/0.92 % (26495)Instructions burned: 35 (million)
% 3.20/0.92 % (26495)------------------------------
% 3.20/0.92 % (26495)------------------------------
% 3.20/0.92 % (26468)Instruction limit reached!
% 3.20/0.92 % (26468)------------------------------
% 3.20/0.92 % (26468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.92 % (26468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.92 % (26468)Termination reason: Unknown
% 3.20/0.92 % (26468)Termination phase: Saturation
% 3.20/0.92
% 3.20/0.92 % (26468)Memory used [KB]: 8955
% 3.20/0.92 % (26468)Time elapsed: 0.330 s
% 3.20/0.92 % (26468)Instructions burned: 132 (million)
% 3.20/0.92 % (26468)------------------------------
% 3.20/0.92 % (26468)------------------------------
% 3.20/0.92 % (26500)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=357:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/357Mi)
% 3.20/0.92 % (26499)ott+1011_1:16_lma=on:nicw=on:sd=7:sp=const_frequency:ss=axioms:st=5.0:urr=ec_only:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/23Mi)
% 3.20/0.93 % (26497)Instruction limit reached!
% 3.20/0.93 % (26497)------------------------------
% 3.20/0.93 % (26497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.93 % (26497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.93 % (26497)Termination reason: Unknown
% 3.20/0.93 % (26497)Termination phase: Saturation
% 3.20/0.93
% 3.20/0.93 % (26497)Memory used [KB]: 1791
% 3.20/0.93 % (26497)Time elapsed: 0.004 s
% 3.20/0.93 % (26497)Instructions burned: 9 (million)
% 3.20/0.93 % (26497)------------------------------
% 3.20/0.93 % (26497)------------------------------
% 3.20/0.93 % (26501)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=366:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/366Mi)
% 3.20/0.93 % (26502)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=424:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/424Mi)
% 3.20/0.94 % (26503)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=753:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/753Mi)
% 3.81/0.94 % (26503)Refutation not found, incomplete strategy% (26503)------------------------------
% 3.81/0.94 % (26503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/0.94 % (26503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/0.94 % (26503)Termination reason: Refutation not found, incomplete strategy
% 3.81/0.94
% 3.81/0.94 % (26503)Memory used [KB]: 6268
% 3.81/0.94 % (26503)Time elapsed: 0.106 s
% 3.81/0.94 % (26503)Instructions burned: 7 (million)
% 3.81/0.94 % (26503)------------------------------
% 3.81/0.94 % (26503)------------------------------
% 3.81/0.95 % (26501)Refutation not found, incomplete strategy% (26501)------------------------------
% 3.81/0.95 % (26501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/0.95 % (26501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/0.95 % (26501)Termination reason: Refutation not found, incomplete strategy
% 3.81/0.95
% 3.81/0.95 % (26501)Memory used [KB]: 6396
% 3.81/0.95 % (26501)Time elapsed: 0.122 s
% 3.81/0.95 % (26501)Instructions burned: 13 (million)
% 3.81/0.95 % (26501)------------------------------
% 3.81/0.95 % (26501)------------------------------
% 3.81/0.95 % (26504)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/288Mi)
% 3.81/0.95 % (26505)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=1000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1000Mi)
% 3.81/0.95 % (26506)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/149Mi)
% 3.81/0.95 % (26499)Instruction limit reached!
% 3.81/0.95 % (26499)------------------------------
% 3.81/0.95 % (26499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/0.95 % (26499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/0.95 % (26499)Termination reason: Unknown
% 3.81/0.95 % (26499)Termination phase: Saturation
% 3.81/0.95
% 3.81/0.95 % (26499)Memory used [KB]: 6396
% 3.81/0.95 % (26499)Time elapsed: 0.142 s
% 3.81/0.95 % (26499)Instructions burned: 23 (million)
% 3.81/0.95 % (26499)------------------------------
% 3.81/0.95 % (26499)------------------------------
% 3.81/0.96 % (26474)Instruction limit reached!
% 3.81/0.96 % (26474)------------------------------
% 3.81/0.96 % (26474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/0.96 % (26474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/0.96 % (26474)Termination reason: Unknown
% 3.81/0.96 % (26474)Termination phase: Saturation
% 3.81/0.96
% 3.81/0.96 % (26474)Memory used [KB]: 7675
% 3.81/0.96 % (26474)Time elapsed: 0.356 s
% 3.81/0.96 % (26474)Instructions burned: 149 (million)
% 3.81/0.96 % (26474)------------------------------
% 3.81/0.96 % (26474)------------------------------
% 4.03/0.99 % (26507)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/35Mi)
% 4.03/1.00 % (26508)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/377Mi)
% 4.03/1.01 % (26509)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=300:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/300Mi)
% 4.03/1.01 % (26510)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/45Mi)
% 4.03/1.01 % (26492)Instruction limit reached!
% 4.03/1.01 % (26492)------------------------------
% 4.03/1.01 % (26492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.03/1.01 % (26492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.03/1.01 % (26492)Termination reason: Unknown
% 4.03/1.01 % (26492)Termination phase: Saturation
% 4.03/1.01
% 4.03/1.01 % (26492)Memory used [KB]: 6780
% 4.03/1.01 % (26492)Time elapsed: 0.239 s
% 4.03/1.01 % (26492)Instructions burned: 81 (million)
% 4.03/1.01 % (26492)------------------------------
% 4.03/1.01 % (26492)------------------------------
% 4.03/1.01 % (26491)Instruction limit reached!
% 4.03/1.01 % (26491)------------------------------
% 4.03/1.01 % (26491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.03/1.01 % (26491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.03/1.01 % (26491)Termination reason: Unknown
% 4.03/1.01 % (26491)Termination phase: Saturation
% 4.03/1.01
% 4.03/1.01 % (26491)Memory used [KB]: 7547
% 4.03/1.01 % (26491)Time elapsed: 0.223 s
% 4.03/1.01 % (26491)Instructions burned: 86 (million)
% 4.03/1.01 % (26491)------------------------------
% 4.03/1.01 % (26491)------------------------------
% 4.03/1.02 % (26494)Instruction limit reached!
% 4.03/1.02 % (26494)------------------------------
% 4.03/1.02 % (26494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.03/1.02 % (26494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.03/1.02 % (26494)Termination reason: Unknown
% 4.03/1.02 % (26494)Termination phase: Saturation
% 4.03/1.02
% 4.03/1.02 % (26494)Memory used [KB]: 7547
% 4.03/1.02 % (26494)Time elapsed: 0.145 s
% 4.03/1.02 % (26494)Instructions burned: 119 (million)
% 4.03/1.02 % (26494)------------------------------
% 4.03/1.02 % (26494)------------------------------
% 4.03/1.02 % (26512)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/23Mi)
% 4.03/1.03 % (26509)Refutation not found, incomplete strategy% (26509)------------------------------
% 4.03/1.03 % (26509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.03/1.03 % (26509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.03/1.03 % (26509)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.03
% 4.03/1.03 % (26509)Memory used [KB]: 6268
% 4.03/1.03 % (26509)Time elapsed: 0.123 s
% 4.03/1.03 % (26509)Instructions burned: 8 (million)
% 4.03/1.03 % (26509)------------------------------
% 4.03/1.03 % (26509)------------------------------
% 4.35/1.03 % (26515)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/102Mi)
% 4.35/1.04 % (26513)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/136Mi)
% 4.35/1.05 % (26507)Instruction limit reached!
% 4.35/1.05 % (26507)------------------------------
% 4.35/1.05 % (26507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.35/1.05 % (26507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.35/1.05 % (26507)Termination reason: Unknown
% 4.35/1.05 % (26507)Termination phase: Saturation
% 4.35/1.05
% 4.35/1.05 % (26507)Memory used [KB]: 6908
% 4.35/1.05 % (26507)Time elapsed: 0.149 s
% 4.35/1.05 % (26507)Instructions burned: 37 (million)
% 4.35/1.05 % (26507)------------------------------
% 4.35/1.05 % (26507)------------------------------
% 4.35/1.05 % (26512)Instruction limit reached!
% 4.35/1.05 % (26512)------------------------------
% 4.35/1.05 % (26512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.35/1.05 % (26516)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/234Mi)
% 4.35/1.06 % (26517)dis+1002_1:2_er=filter:fde=unused:nwc=3.0:sac=on:sp=frequency:ss=included:to=lpo:i=246:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/246Mi)
% 4.35/1.06 % (26514)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/91Mi)
% 4.35/1.06 % (26515)Refutation not found, incomplete strategy% (26515)------------------------------
% 4.35/1.06 % (26515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.35/1.06 % (26515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.35/1.06 % (26515)Termination reason: Refutation not found, incomplete strategy
% 4.35/1.06
% 4.35/1.06 % (26515)Memory used [KB]: 6396
% 4.35/1.06 % (26515)Time elapsed: 0.041 s
% 4.35/1.06 % (26515)Instructions burned: 11 (million)
% 4.35/1.06 % (26515)------------------------------
% 4.35/1.06 % (26515)------------------------------
% 4.35/1.07 % (26484)Instruction limit reached!
% 4.35/1.07 % (26484)------------------------------
% 4.35/1.07 % (26484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.35/1.07 % (26484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.35/1.07 % (26484)Termination reason: Unknown
% 4.35/1.07 % (26484)Termination phase: Saturation
% 4.35/1.07
% 4.35/1.07 % (26484)Memory used [KB]: 7291
% 4.35/1.07 % (26484)Time elapsed: 0.349 s
% 4.35/1.07 % (26484)Instructions burned: 139 (million)
% 4.35/1.07 % (26484)------------------------------
% 4.35/1.07 % (26484)------------------------------
% 5.66/1.07 % (26520)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/248Mi)
% 5.66/1.07 % (26512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.66/1.07 % (26512)Termination reason: Unknown
% 5.66/1.07 % (26512)Termination phase: Saturation
% 5.66/1.07
% 5.66/1.07 % (26512)Memory used [KB]: 6652
% 5.66/1.07 % (26512)Time elapsed: 0.133 s
% 5.66/1.07 % (26512)Instructions burned: 23 (million)
% 5.66/1.07 % (26512)------------------------------
% 5.66/1.07 % (26512)------------------------------
% 5.66/1.07 % (26520)Refutation not found, incomplete strategy% (26520)------------------------------
% 5.66/1.07 % (26520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.66/1.07 % (26520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.66/1.07 % (26520)Termination reason: Refutation not found, incomplete strategy
% 5.66/1.07
% 5.66/1.07 % (26520)Memory used [KB]: 6140
% 5.66/1.07 % (26520)Time elapsed: 0.104 s
% 5.66/1.07 % (26520)Instructions burned: 4 (million)
% 5.66/1.07 % (26520)------------------------------
% 5.66/1.07 % (26520)------------------------------
% 5.66/1.08 % (26519)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 5.66/1.08 % (26518)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/290Mi)
% 5.66/1.09 % (26510)Instruction limit reached!
% 5.66/1.09 % (26510)------------------------------
% 5.66/1.09 % (26510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.66/1.09 % (26510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.66/1.09 % (26510)Termination reason: Unknown
% 5.66/1.09 % (26510)Termination phase: Saturation
% 5.66/1.09
% 5.66/1.09 % (26510)Memory used [KB]: 6652
% 5.66/1.09 % (26510)Time elapsed: 0.152 s
% 5.66/1.09 % (26510)Instructions burned: 45 (million)
% 5.66/1.09 % (26510)------------------------------
% 5.66/1.09 % (26510)------------------------------
% 5.66/1.10 % (26521)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=126:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/126Mi)
% 5.66/1.12 % (26496)Instruction limit reached!
% 5.66/1.12 % (26496)------------------------------
% 5.66/1.12 % (26496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.66/1.12 % (26496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.66/1.12 % (26496)Termination reason: Unknown
% 5.66/1.12 % (26496)Termination phase: Saturation
% 5.66/1.12
% 5.66/1.12 % (26496)Memory used [KB]: 2558
% 5.66/1.12 % (26496)Time elapsed: 0.317 s
% 5.66/1.12 % (26496)Instructions burned: 113 (million)
% 5.66/1.12 % (26496)------------------------------
% 5.66/1.12 % (26496)------------------------------
% 6.14/1.13 % (26522)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/997Mi)
% 6.14/1.14 % (26522)Refutation not found, incomplete strategy% (26522)------------------------------
% 6.14/1.14 % (26522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.14 % (26522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.14 % (26522)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.14
% 6.14/1.14 % (26522)Memory used [KB]: 6140
% 6.14/1.14 % (26522)Time elapsed: 0.106 s
% 6.14/1.14 % (26522)Instructions burned: 5 (million)
% 6.14/1.14 % (26522)------------------------------
% 6.14/1.14 % (26522)------------------------------
% 6.14/1.15 % (26523)lrs+1_4:1_cond=fast:fde=unused:lcm=predicate:nm=4:s2a=on:sd=3:sos=on:ss=axioms:st=2.0:i=139:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/139Mi)
% 6.14/1.15 % (26524)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/121Mi)
% 6.14/1.16 % (26524)Refutation not found, incomplete strategy% (26524)------------------------------
% 6.14/1.16 % (26524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.16 % (26524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.16 % (26524)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.16
% 6.14/1.16 % (26524)Memory used [KB]: 6140
% 6.14/1.16 % (26524)Time elapsed: 0.034 s
% 6.14/1.16 % (26524)Instructions burned: 5 (million)
% 6.14/1.16 % (26524)------------------------------
% 6.14/1.16 % (26524)------------------------------
% 6.14/1.16 % (26506)Instruction limit reached!
% 6.14/1.16 % (26506)------------------------------
% 6.14/1.16 % (26506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.16 % (26506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.16 % (26506)Termination reason: Unknown
% 6.14/1.16 % (26506)Termination phase: Saturation
% 6.14/1.16
% 6.14/1.16 % (26506)Memory used [KB]: 7419
% 6.14/1.16 % (26506)Time elapsed: 0.316 s
% 6.14/1.16 % (26506)Instructions burned: 149 (million)
% 6.14/1.16 % (26506)------------------------------
% 6.14/1.16 % (26506)------------------------------
% 6.14/1.16 % (26525)lrs+2_1:1_lwlo=on:nwc=10.0:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/92Mi)
% 6.14/1.18 % (26526)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/43Mi)
% 6.14/1.18 % (26478)Instruction limit reached!
% 6.14/1.18 % (26478)------------------------------
% 6.14/1.18 % (26478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.18 % (26478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.18 % (26478)Termination reason: Unknown
% 6.14/1.18 % (26478)Termination phase: Saturation
% 6.14/1.18
% 6.14/1.18 % (26478)Memory used [KB]: 10874
% 6.14/1.18 % (26478)Time elapsed: 0.510 s
% 6.14/1.18 % (26478)Instructions burned: 238 (million)
% 6.14/1.18 % (26478)------------------------------
% 6.14/1.18 % (26478)------------------------------
% 6.14/1.18 % (26527)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/50Mi)
% 6.44/1.19 % (26519)Instruction limit reached!
% 6.44/1.19 % (26519)------------------------------
% 6.44/1.19 % (26519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.44/1.19 % (26519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.44/1.19 % (26519)Termination reason: Unknown
% 6.44/1.19 % (26519)Termination phase: Saturation
% 6.44/1.19
% 6.44/1.19 % (26519)Memory used [KB]: 2686
% 6.44/1.19 % (26519)Time elapsed: 0.235 s
% 6.44/1.19 % (26519)Instructions burned: 69 (million)
% 6.44/1.19 % (26519)------------------------------
% 6.44/1.19 % (26519)------------------------------
% 6.44/1.20 % (26528)lrs+10_1:1_bd=preordered:drc=off:rp=on:sp=frequency:to=lpo:urr=on:i=9:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9Mi)
% 6.44/1.21 % (26529)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=915:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/915Mi)
% 6.44/1.21 % (26530)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=437:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/437Mi)
% 6.44/1.21 % (26528)Instruction limit reached!
% 6.44/1.21 % (26528)------------------------------
% 6.44/1.21 % (26528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.44/1.21 % (26528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.44/1.21 % (26528)Termination reason: Unknown
% 6.44/1.21 % (26528)Termination phase: Saturation
% 6.44/1.21
% 6.44/1.21 % (26528)Memory used [KB]: 6268
% 6.44/1.21 % (26528)Time elapsed: 0.006 s
% 6.44/1.21 % (26528)Instructions burned: 11 (million)
% 6.44/1.21 % (26528)------------------------------
% 6.44/1.21 % (26528)------------------------------
% 6.44/1.22 % (26531)lrs+10_1:1_aac=none:lcm=reverse:nwc=10.0:sos=on:ss=axioms:st=3.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/206Mi)
% 6.44/1.23 % (26514)Instruction limit reached!
% 6.44/1.23 % (26514)------------------------------
% 6.44/1.23 % (26514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.44/1.23 % (26514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.44/1.23 % (26514)Termination reason: Unknown
% 6.44/1.23 % (26514)Termination phase: Saturation
% 6.44/1.23
% 6.44/1.23 % (26514)Memory used [KB]: 7547
% 6.44/1.23 % (26514)Time elapsed: 0.297 s
% 6.44/1.23 % (26514)Instructions burned: 91 (million)
% 6.44/1.23 % (26514)------------------------------
% 6.44/1.23 % (26514)------------------------------
% 6.44/1.24 % (26516)First to succeed.
% 6.80/1.25 % (26531)Refutation not found, incomplete strategy% (26531)------------------------------
% 6.80/1.25 % (26531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.80/1.25 % (26531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.80/1.25 % (26531)Termination reason: Refutation not found, incomplete strategy
% 6.80/1.25
% 6.80/1.25 % (26531)Memory used [KB]: 6396
% 6.80/1.25 % (26531)Time elapsed: 0.136 s
% 6.80/1.25 % (26531)Instructions burned: 12 (million)
% 6.80/1.25 % (26531)------------------------------
% 6.80/1.25 % (26531)------------------------------
% 6.80/1.25 % (26527)Instruction limit reached!
% 6.80/1.25 % (26527)------------------------------
% 6.80/1.25 % (26527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.80/1.25 % (26532)dis+11_1:17_bce=on:bsr=unit_only:drc=off:flr=on:gs=on:sp=frequency:spb=units:to=lpo:i=1287:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1287Mi)
% 6.80/1.25 % (26527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.80/1.25 % (26527)Termination reason: Unknown
% 6.80/1.25 % (26527)Termination phase: Saturation
% 6.80/1.25
% 6.80/1.25 % (26527)Memory used [KB]: 7419
% 6.80/1.25 % (26527)Time elapsed: 0.091 s
% 6.80/1.25 % (26527)Instructions burned: 50 (million)
% 6.80/1.25 % (26527)------------------------------
% 6.80/1.25 % (26527)------------------------------
% 6.80/1.25 % (26526)Instruction limit reached!
% 6.80/1.25 % (26526)------------------------------
% 6.80/1.25 % (26526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.80/1.25 % (26526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.80/1.25 % (26526)Termination reason: Unknown
% 6.80/1.25 % (26526)Termination phase: Saturation
% 6.80/1.25
% 6.80/1.25 % (26526)Memory used [KB]: 6780
% 6.80/1.25 % (26526)Time elapsed: 0.159 s
% 6.80/1.25 % (26526)Instructions burned: 44 (million)
% 6.80/1.25 % (26526)------------------------------
% 6.80/1.25 % (26526)------------------------------
% 6.80/1.26 % (26513)Instruction limit reached!
% 6.80/1.26 % (26513)------------------------------
% 6.80/1.26 % (26513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.00/1.27 % (26513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.00/1.27 % (26513)Termination reason: Unknown
% 7.00/1.27 % (26516)Refutation found. Thanks to Tanya!
% 7.00/1.27 % SZS status Theorem for theBenchmark
% 7.00/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 7.00/1.27 % (26516)------------------------------
% 7.00/1.27 % (26516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.00/1.27 % (26516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.00/1.27 % (26516)Termination reason: Refutation
% 7.00/1.27
% 7.00/1.27 % (26516)Memory used [KB]: 7803
% 7.00/1.27 % (26516)Time elapsed: 0.299 s
% 7.00/1.27 % (26516)Instructions burned: 98 (million)
% 7.00/1.27 % (26516)------------------------------
% 7.00/1.27 % (26516)------------------------------
% 7.00/1.27 % (26426)Success in time 0.906 s
%------------------------------------------------------------------------------