TSTP Solution File: SEU347+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU347+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 18:29:06 EDT 2022
% Result : Theorem 2.53s 0.67s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 35
% Syntax : Number of formulae : 305 ( 21 unt; 0 def)
% Number of atoms : 1370 ( 62 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1768 ( 703 ~; 801 |; 181 &)
% ( 33 <=>; 48 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 13 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 401 ( 378 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1689,plain,
$false,
inference(avatar_sat_refutation,[],[f356,f357,f414,f429,f434,f476,f502,f520,f577,f623,f646,f1429,f1435,f1688]) ).
fof(f1688,plain,
( spl21_1
| ~ spl21_8
| spl21_20
| ~ spl21_23
| ~ spl21_29
| ~ spl21_56 ),
inference(avatar_contradiction_clause,[],[f1687]) ).
fof(f1687,plain,
( $false
| spl21_1
| ~ spl21_8
| spl21_20
| ~ spl21_23
| ~ spl21_29
| ~ spl21_56 ),
inference(subsumption_resolution,[],[f1686,f1444]) ).
fof(f1444,plain,
( element(sK13(sK7,sK8,sK6),the_carrier(sK7))
| spl21_1 ),
inference(subsumption_resolution,[],[f1443,f269]) ).
fof(f269,plain,
~ empty_carrier(sK7),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ~ empty_carrier(sK7)
& latt_str(sK7)
& ( ~ latt_set_smaller(sK7,sK8,sK6)
| ~ relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,sK8)) )
& ( latt_set_smaller(sK7,sK8,sK6)
| relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,sK8)) )
& element(sK8,the_carrier(sK7))
& lattice(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f183,f185,f184]) ).
fof(f184,plain,
( ? [X0,X1] :
( ~ empty_carrier(X1)
& latt_str(X1)
& ? [X2] :
( ( ~ latt_set_smaller(X1,X2,X0)
| ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& ( latt_set_smaller(X1,X2,X0)
| relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& element(X2,the_carrier(X1)) )
& lattice(X1) )
=> ( ~ empty_carrier(sK7)
& latt_str(sK7)
& ? [X2] :
( ( ~ latt_set_smaller(sK7,X2,sK6)
| ~ relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,X2)) )
& ( latt_set_smaller(sK7,X2,sK6)
| relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,X2)) )
& element(X2,the_carrier(sK7)) )
& lattice(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ? [X2] :
( ( ~ latt_set_smaller(sK7,X2,sK6)
| ~ relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,X2)) )
& ( latt_set_smaller(sK7,X2,sK6)
| relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,X2)) )
& element(X2,the_carrier(sK7)) )
=> ( ( ~ latt_set_smaller(sK7,sK8,sK6)
| ~ relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,sK8)) )
& ( latt_set_smaller(sK7,sK8,sK6)
| relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,sK8)) )
& element(sK8,the_carrier(sK7)) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
? [X0,X1] :
( ~ empty_carrier(X1)
& latt_str(X1)
& ? [X2] :
( ( ~ latt_set_smaller(X1,X2,X0)
| ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& ( latt_set_smaller(X1,X2,X0)
| relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& element(X2,the_carrier(X1)) )
& lattice(X1) ),
inference(flattening,[],[f182]) ).
fof(f182,plain,
? [X0,X1] :
( ~ empty_carrier(X1)
& latt_str(X1)
& ? [X2] :
( ( ~ latt_set_smaller(X1,X2,X0)
| ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& ( latt_set_smaller(X1,X2,X0)
| relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& element(X2,the_carrier(X1)) )
& lattice(X1) ),
inference(nnf_transformation,[],[f158]) ).
fof(f158,plain,
? [X0,X1] :
( ~ empty_carrier(X1)
& latt_str(X1)
& ? [X2] :
( ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
<~> latt_set_smaller(X1,X2,X0) )
& element(X2,the_carrier(X1)) )
& lattice(X1) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
? [X0,X1] :
( ? [X2] :
( ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
<~> latt_set_smaller(X1,X2,X0) )
& element(X2,the_carrier(X1)) )
& lattice(X1)
& latt_str(X1)
& ~ empty_carrier(X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,negated_conjecture,
~ ! [X0,X1] :
( ( lattice(X1)
& latt_str(X1)
& ~ empty_carrier(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) ) ) ),
inference(negated_conjecture,[],[f63]) ).
fof(f63,conjecture,
! [X0,X1] :
( ( lattice(X1)
& latt_str(X1)
& ~ empty_carrier(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(f1443,plain,
( empty_carrier(sK7)
| element(sK13(sK7,sK8,sK6),the_carrier(sK7))
| spl21_1 ),
inference(subsumption_resolution,[],[f1442,f268]) ).
fof(f268,plain,
latt_str(sK7),
inference(cnf_transformation,[],[f186]) ).
fof(f1442,plain,
( ~ latt_str(sK7)
| empty_carrier(sK7)
| element(sK13(sK7,sK8,sK6),the_carrier(sK7))
| spl21_1 ),
inference(subsumption_resolution,[],[f1438,f265]) ).
fof(f265,plain,
element(sK8,the_carrier(sK7)),
inference(cnf_transformation,[],[f186]) ).
fof(f1438,plain,
( ~ element(sK8,the_carrier(sK7))
| empty_carrier(sK7)
| ~ latt_str(sK7)
| element(sK13(sK7,sK8,sK6),the_carrier(sK7))
| spl21_1 ),
inference(resolution,[],[f350,f314]) ).
fof(f314,plain,
! [X2,X0,X1] :
( latt_set_smaller(X0,X1,X2)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| element(sK13(X0,X1,X2),the_carrier(X0)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ~ latt_str(X0)
| ! [X1] :
( ! [X2] :
( ( latt_set_smaller(X0,X1,X2)
| ( element(sK13(X0,X1,X2),the_carrier(X0))
& ~ below(X0,X1,sK13(X0,X1,X2))
& in(sK13(X0,X1,X2),X2) ) )
& ( ! [X4] :
( ~ element(X4,the_carrier(X0))
| below(X0,X1,X4)
| ~ in(X4,X2) )
| ~ latt_set_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f205,f206]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ? [X3] :
( element(X3,the_carrier(X0))
& ~ below(X0,X1,X3)
& in(X3,X2) )
=> ( element(sK13(X0,X1,X2),the_carrier(X0))
& ~ below(X0,X1,sK13(X0,X1,X2))
& in(sK13(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f205,plain,
! [X0] :
( ~ latt_str(X0)
| ! [X1] :
( ! [X2] :
( ( latt_set_smaller(X0,X1,X2)
| ? [X3] :
( element(X3,the_carrier(X0))
& ~ below(X0,X1,X3)
& in(X3,X2) ) )
& ( ! [X4] :
( ~ element(X4,the_carrier(X0))
| below(X0,X1,X4)
| ~ in(X4,X2) )
| ~ latt_set_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0) ),
inference(rectify,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ~ latt_str(X0)
| ! [X1] :
( ! [X2] :
( ( latt_set_smaller(X0,X1,X2)
| ? [X3] :
( element(X3,the_carrier(X0))
& ~ below(X0,X1,X3)
& in(X3,X2) ) )
& ( ! [X3] :
( ~ element(X3,the_carrier(X0))
| below(X0,X1,X3)
| ~ in(X3,X2) )
| ~ latt_set_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ~ latt_str(X0)
| ! [X1] :
( ! [X2] :
( latt_set_smaller(X0,X1,X2)
<=> ! [X3] :
( ~ element(X3,the_carrier(X0))
| below(X0,X1,X3)
| ~ in(X3,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( latt_set_smaller(X0,X1,X2)
<=> ! [X3] :
( below(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( latt_set_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
=> below(X0,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_lattice3) ).
fof(f350,plain,
( ~ latt_set_smaller(sK7,sK8,sK6)
| spl21_1 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl21_1
<=> latt_set_smaller(sK7,sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f1686,plain,
( ~ element(sK13(sK7,sK8,sK6),the_carrier(sK7))
| spl21_1
| ~ spl21_8
| spl21_20
| ~ spl21_23
| ~ spl21_29
| ~ spl21_56 ),
inference(subsumption_resolution,[],[f1681,f1465]) ).
fof(f1465,plain,
( ~ below_refl(sK7,sK8,sK13(sK7,sK8,sK6))
| spl21_1
| ~ spl21_8 ),
inference(subsumption_resolution,[],[f1453,f350]) ).
fof(f1453,plain,
( ~ below_refl(sK7,sK8,sK13(sK7,sK8,sK6))
| latt_set_smaller(sK7,sK8,sK6)
| spl21_1
| ~ spl21_8 ),
inference(resolution,[],[f1444,f1043]) ).
fof(f1043,plain,
( ! [X0] :
( ~ element(sK13(sK7,sK8,X0),the_carrier(sK7))
| latt_set_smaller(sK7,sK8,X0)
| ~ below_refl(sK7,sK8,sK13(sK7,sK8,X0)) )
| ~ spl21_8 ),
inference(subsumption_resolution,[],[f1042,f265]) ).
fof(f1042,plain,
( ! [X0] :
( ~ element(sK8,the_carrier(sK7))
| ~ below_refl(sK7,sK8,sK13(sK7,sK8,X0))
| latt_set_smaller(sK7,sK8,X0)
| ~ element(sK13(sK7,sK8,X0),the_carrier(sK7)) )
| ~ spl21_8 ),
inference(resolution,[],[f428,f459]) ).
fof(f459,plain,
! [X1] :
( ~ below(sK7,sK8,sK13(sK7,sK8,X1))
| latt_set_smaller(sK7,sK8,X1) ),
inference(subsumption_resolution,[],[f458,f268]) ).
fof(f458,plain,
! [X1] :
( ~ latt_str(sK7)
| latt_set_smaller(sK7,sK8,X1)
| ~ below(sK7,sK8,sK13(sK7,sK8,X1)) ),
inference(subsumption_resolution,[],[f436,f269]) ).
fof(f436,plain,
! [X1] :
( empty_carrier(sK7)
| ~ latt_str(sK7)
| ~ below(sK7,sK8,sK13(sK7,sK8,X1))
| latt_set_smaller(sK7,sK8,X1) ),
inference(resolution,[],[f265,f313]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ element(X1,the_carrier(X0))
| ~ below(X0,X1,sK13(X0,X1,X2))
| latt_set_smaller(X0,X1,X2)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f428,plain,
( ! [X2,X3] :
( below(sK7,X2,X3)
| ~ below_refl(sK7,X2,X3)
| ~ element(X2,the_carrier(sK7))
| ~ element(X3,the_carrier(sK7)) )
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl21_8
<=> ! [X2,X3] :
( ~ element(X2,the_carrier(sK7))
| ~ element(X3,the_carrier(sK7))
| below(sK7,X2,X3)
| ~ below_refl(sK7,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f1681,plain,
( below_refl(sK7,sK8,sK13(sK7,sK8,sK6))
| ~ element(sK13(sK7,sK8,sK6),the_carrier(sK7))
| spl21_1
| spl21_20
| ~ spl21_23
| ~ spl21_29
| ~ spl21_56 ),
inference(resolution,[],[f1605,f633]) ).
fof(f633,plain,
! [X1] :
( ~ related_reflexive(poset_of_lattice(sK7),sK8,X1)
| below_refl(sK7,sK8,X1)
| ~ element(X1,the_carrier(sK7)) ),
inference(forward_subsumption_demodulation,[],[f632,f394]) ).
fof(f394,plain,
! [X4] :
( ~ element(X4,the_carrier(sK7))
| cast_to_el_of_LattPOSet(sK7,X4) = X4 ),
inference(subsumption_resolution,[],[f393,f269]) ).
fof(f393,plain,
! [X4] :
( cast_to_el_of_LattPOSet(sK7,X4) = X4
| empty_carrier(sK7)
| ~ element(X4,the_carrier(sK7)) ),
inference(subsumption_resolution,[],[f369,f268]) ).
fof(f369,plain,
! [X4] :
( cast_to_el_of_LattPOSet(sK7,X4) = X4
| ~ element(X4,the_carrier(sK7))
| ~ latt_str(sK7)
| empty_carrier(sK7) ),
inference(resolution,[],[f264,f343]) ).
fof(f343,plain,
! [X0,X1] :
( ~ lattice(X0)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| cast_to_el_of_LattPOSet(X0,X1) = X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ lattice(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(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(f264,plain,
lattice(sK7),
inference(cnf_transformation,[],[f186]) ).
fof(f632,plain,
! [X1] :
( below_refl(sK7,sK8,X1)
| ~ element(X1,the_carrier(sK7))
| ~ related_reflexive(poset_of_lattice(sK7),sK8,cast_to_el_of_LattPOSet(sK7,X1)) ),
inference(subsumption_resolution,[],[f631,f268]) ).
fof(f631,plain,
! [X1] :
( ~ related_reflexive(poset_of_lattice(sK7),sK8,cast_to_el_of_LattPOSet(sK7,X1))
| below_refl(sK7,sK8,X1)
| ~ element(X1,the_carrier(sK7))
| ~ latt_str(sK7) ),
inference(subsumption_resolution,[],[f630,f265]) ).
fof(f630,plain,
! [X1] :
( ~ element(X1,the_carrier(sK7))
| ~ element(sK8,the_carrier(sK7))
| below_refl(sK7,sK8,X1)
| ~ latt_str(sK7)
| ~ related_reflexive(poset_of_lattice(sK7),sK8,cast_to_el_of_LattPOSet(sK7,X1)) ),
inference(subsumption_resolution,[],[f629,f264]) ).
fof(f629,plain,
! [X1] :
( below_refl(sK7,sK8,X1)
| ~ element(X1,the_carrier(sK7))
| ~ lattice(sK7)
| ~ related_reflexive(poset_of_lattice(sK7),sK8,cast_to_el_of_LattPOSet(sK7,X1))
| ~ element(sK8,the_carrier(sK7))
| ~ latt_str(sK7) ),
inference(subsumption_resolution,[],[f628,f269]) ).
fof(f628,plain,
! [X1] :
( empty_carrier(sK7)
| ~ lattice(sK7)
| ~ latt_str(sK7)
| ~ related_reflexive(poset_of_lattice(sK7),sK8,cast_to_el_of_LattPOSet(sK7,X1))
| below_refl(sK7,sK8,X1)
| ~ element(sK8,the_carrier(sK7))
| ~ element(X1,the_carrier(sK7)) ),
inference(superposition,[],[f322,f578]) ).
fof(f578,plain,
sK8 = cast_to_el_of_LattPOSet(sK7,sK8),
inference(resolution,[],[f394,f265]) ).
fof(f322,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)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ! [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) )
& ( 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) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ! [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) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ! [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)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ( lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(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) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lattice3) ).
fof(f1605,plain,
( related_reflexive(poset_of_lattice(sK7),sK8,sK13(sK7,sK8,sK6))
| spl21_1
| spl21_20
| ~ spl21_23
| ~ spl21_29
| ~ spl21_56 ),
inference(subsumption_resolution,[],[f1604,f265]) ).
fof(f1604,plain,
( related_reflexive(poset_of_lattice(sK7),sK8,sK13(sK7,sK8,sK6))
| ~ element(sK8,the_carrier(sK7))
| spl21_1
| spl21_20
| ~ spl21_23
| ~ spl21_29
| ~ spl21_56 ),
inference(subsumption_resolution,[],[f1599,f1444]) ).
fof(f1599,plain,
( related_reflexive(poset_of_lattice(sK7),sK8,sK13(sK7,sK8,sK6))
| ~ element(sK13(sK7,sK8,sK6),the_carrier(sK7))
| ~ element(sK8,the_carrier(sK7))
| spl21_1
| spl21_20
| ~ spl21_23
| ~ spl21_29
| ~ spl21_56 ),
inference(resolution,[],[f1015,f1530]) ).
fof(f1530,plain,
( related(poset_of_lattice(sK7),sK8,sK13(sK7,sK8,sK6))
| spl21_1
| ~ spl21_23
| ~ spl21_29
| ~ spl21_56 ),
inference(subsumption_resolution,[],[f1529,f265]) ).
fof(f1529,plain,
( ~ element(sK8,the_carrier(sK7))
| related(poset_of_lattice(sK7),sK8,sK13(sK7,sK8,sK6))
| spl21_1
| ~ spl21_23
| ~ spl21_29
| ~ spl21_56 ),
inference(superposition,[],[f1452,f945]) ).
fof(f945,plain,
( ! [X0] :
( cast_to_el_of_lattice(sK7,X0) = X0
| ~ element(X0,the_carrier(sK7)) )
| ~ spl21_23 ),
inference(backward_demodulation,[],[f392,f942]) ).
fof(f942,plain,
( the_carrier(sK7) = the_carrier(poset_of_lattice(sK7))
| ~ spl21_23 ),
inference(trivial_inequality_removal,[],[f940]) ).
fof(f940,plain,
( poset_of_lattice(sK7) != poset_of_lattice(sK7)
| the_carrier(sK7) = the_carrier(poset_of_lattice(sK7))
| ~ spl21_23 ),
inference(superposition,[],[f687,f812]) ).
fof(f812,plain,
( rel_str_of(the_carrier(poset_of_lattice(sK7)),k2_lattice3(sK7)) = poset_of_lattice(sK7)
| ~ spl21_23 ),
inference(backward_demodulation,[],[f515,f809]) ).
fof(f809,plain,
( the_InternalRel(poset_of_lattice(sK7)) = k2_lattice3(sK7)
| ~ spl21_23 ),
inference(trivial_inequality_removal,[],[f807]) ).
fof(f807,plain,
( poset_of_lattice(sK7) != poset_of_lattice(sK7)
| the_InternalRel(poset_of_lattice(sK7)) = k2_lattice3(sK7)
| ~ spl21_23 ),
inference(superposition,[],[f554,f515]) ).
fof(f554,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != poset_of_lattice(sK7)
| k2_lattice3(sK7) = X1 ),
inference(subsumption_resolution,[],[f539,f526]) ).
fof(f526,plain,
relation_of2(k2_lattice3(sK7),the_carrier(sK7),the_carrier(sK7)),
inference(resolution,[],[f374,f271]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) )
& ( relation_of2_as_subset(X0,X1,X2)
| ~ relation_of2(X0,X1,X2) ) ),
inference(rectify,[],[f187]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) )
& ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
<=> relation_of2_as_subset(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f374,plain,
relation_of2_as_subset(k2_lattice3(sK7),the_carrier(sK7),the_carrier(sK7)),
inference(subsumption_resolution,[],[f373,f268]) ).
fof(f373,plain,
( ~ latt_str(sK7)
| relation_of2_as_subset(k2_lattice3(sK7),the_carrier(sK7),the_carrier(sK7)) ),
inference(subsumption_resolution,[],[f359,f269]) ).
fof(f359,plain,
( empty_carrier(sK7)
| ~ latt_str(sK7)
| relation_of2_as_subset(k2_lattice3(sK7),the_carrier(sK7),the_carrier(sK7)) ),
inference(resolution,[],[f264,f278]) ).
fof(f278,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ~ latt_str(X0)
| ( reflexive(k2_lattice3(X0))
& transitive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(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)) )
| empty_carrier(X0)
| ~ lattice(X0) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( reflexive(k2_lattice3(X0))
& transitive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(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)) )
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> ( reflexive(k2_lattice3(X0))
& transitive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(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)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_lattice3) ).
fof(f539,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != poset_of_lattice(sK7)
| ~ relation_of2(k2_lattice3(sK7),the_carrier(sK7),the_carrier(sK7))
| k2_lattice3(sK7) = X1 ),
inference(superposition,[],[f329,f386]) ).
fof(f386,plain,
rel_str_of(the_carrier(sK7),k2_lattice3(sK7)) = poset_of_lattice(sK7),
inference(subsumption_resolution,[],[f385,f268]) ).
fof(f385,plain,
( rel_str_of(the_carrier(sK7),k2_lattice3(sK7)) = poset_of_lattice(sK7)
| ~ latt_str(sK7) ),
inference(subsumption_resolution,[],[f365,f269]) ).
fof(f365,plain,
( rel_str_of(the_carrier(sK7),k2_lattice3(sK7)) = poset_of_lattice(sK7)
| empty_carrier(sK7)
| ~ latt_str(sK7) ),
inference(resolution,[],[f264,f318]) ).
fof(f318,plain,
! [X0] :
( ~ lattice(X0)
| poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( empty_carrier(X0)
| poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice3) ).
fof(f329,plain,
! [X2,X3,X0,X1] :
( rel_str_of(X0,X1) != rel_str_of(X2,X3)
| X1 = X3
| ~ relation_of2(X1,X0,X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X0 = X2
& X1 = X3 )
| rel_str_of(X0,X1) != rel_str_of(X2,X3) )
| ~ relation_of2(X1,X0,X0) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
! [X1,X0] :
( ! [X3,X2] :
( ( X1 = X3
& X0 = X2 )
| rel_str_of(X1,X0) != rel_str_of(X3,X2) )
| ~ relation_of2(X0,X1,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( relation_of2(X0,X1,X1)
=> ! [X3,X2] :
( rel_str_of(X1,X0) = rel_str_of(X3,X2)
=> ( X1 = X3
& X0 = X2 ) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X1,X0] :
( relation_of2(X1,X0,X0)
=> ! [X3,X2] :
( rel_str_of(X0,X1) = rel_str_of(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f515,plain,
( rel_str_of(the_carrier(poset_of_lattice(sK7)),the_InternalRel(poset_of_lattice(sK7))) = poset_of_lattice(sK7)
| ~ spl21_23 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl21_23
<=> rel_str_of(the_carrier(poset_of_lattice(sK7)),the_InternalRel(poset_of_lattice(sK7))) = poset_of_lattice(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).
fof(f687,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != poset_of_lattice(sK7)
| the_carrier(sK7) = X0 ),
inference(forward_demodulation,[],[f685,f386]) ).
fof(f685,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != rel_str_of(the_carrier(sK7),k2_lattice3(sK7))
| the_carrier(sK7) = X0 ),
inference(resolution,[],[f526,f330]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X1,X0,X0)
| X0 = X2
| rel_str_of(X0,X1) != rel_str_of(X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f392,plain,
! [X0] :
( cast_to_el_of_lattice(sK7,X0) = X0
| ~ element(X0,the_carrier(poset_of_lattice(sK7))) ),
inference(subsumption_resolution,[],[f391,f268]) ).
fof(f391,plain,
! [X0] :
( ~ latt_str(sK7)
| ~ element(X0,the_carrier(poset_of_lattice(sK7)))
| cast_to_el_of_lattice(sK7,X0) = X0 ),
inference(subsumption_resolution,[],[f364,f269]) ).
fof(f364,plain,
! [X0] :
( ~ element(X0,the_carrier(poset_of_lattice(sK7)))
| cast_to_el_of_lattice(sK7,X0) = X0
| empty_carrier(sK7)
| ~ latt_str(sK7) ),
inference(resolution,[],[f264,f307]) ).
fof(f307,plain,
! [X0,X1] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| cast_to_el_of_lattice(X0,X1) = X1 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| ~ lattice(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0)
& lattice(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(f1452,plain,
( related(poset_of_lattice(sK7),cast_to_el_of_lattice(sK7,sK8),sK13(sK7,sK8,sK6))
| spl21_1
| ~ spl21_23
| ~ spl21_29
| ~ spl21_56 ),
inference(subsumption_resolution,[],[f1451,f1444]) ).
fof(f1451,plain,
( related(poset_of_lattice(sK7),cast_to_el_of_lattice(sK7,sK8),sK13(sK7,sK8,sK6))
| ~ element(sK13(sK7,sK8,sK6),the_carrier(sK7))
| spl21_1
| ~ spl21_23
| ~ spl21_29
| ~ spl21_56 ),
inference(subsumption_resolution,[],[f1445,f1365]) ).
fof(f1365,plain,
( relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_lattice(sK7,sK8))
| ~ spl21_56 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1364,plain,
( spl21_56
<=> relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_lattice(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_56])]) ).
fof(f1445,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_lattice(sK7,sK8))
| ~ element(sK13(sK7,sK8,sK6),the_carrier(sK7))
| related(poset_of_lattice(sK7),cast_to_el_of_lattice(sK7,sK8),sK13(sK7,sK8,sK6))
| spl21_1
| ~ spl21_23
| ~ spl21_29 ),
inference(resolution,[],[f1441,f960]) ).
fof(f960,plain,
( ! [X2,X3] :
( ~ in(X2,X3)
| related(poset_of_lattice(sK7),cast_to_el_of_lattice(sK7,sK8),X2)
| ~ element(X2,the_carrier(sK7))
| ~ relstr_element_smaller(poset_of_lattice(sK7),X3,cast_to_el_of_lattice(sK7,sK8)) )
| ~ spl21_23
| ~ spl21_29 ),
inference(backward_demodulation,[],[f720,f942]) ).
fof(f720,plain,
( ! [X2,X3] :
( ~ in(X2,X3)
| related(poset_of_lattice(sK7),cast_to_el_of_lattice(sK7,sK8),X2)
| ~ relstr_element_smaller(poset_of_lattice(sK7),X3,cast_to_el_of_lattice(sK7,sK8))
| ~ element(X2,the_carrier(poset_of_lattice(sK7))) )
| ~ spl21_29 ),
inference(subsumption_resolution,[],[f710,f384]) ).
fof(f384,plain,
rel_str(poset_of_lattice(sK7)),
inference(subsumption_resolution,[],[f383,f269]) ).
fof(f383,plain,
( empty_carrier(sK7)
| rel_str(poset_of_lattice(sK7)) ),
inference(subsumption_resolution,[],[f362,f268]) ).
fof(f362,plain,
( ~ latt_str(sK7)
| rel_str(poset_of_lattice(sK7))
| empty_carrier(sK7) ),
inference(resolution,[],[f264,f302]) ).
fof(f302,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| rel_str(poset_of_lattice(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ( reflexive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) ) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( reflexive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) )
=> ( reflexive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_lattice3) ).
fof(f710,plain,
( ! [X2,X3] :
( ~ relstr_element_smaller(poset_of_lattice(sK7),X3,cast_to_el_of_lattice(sK7,sK8))
| related(poset_of_lattice(sK7),cast_to_el_of_lattice(sK7,sK8),X2)
| ~ element(X2,the_carrier(poset_of_lattice(sK7)))
| ~ in(X2,X3)
| ~ rel_str(poset_of_lattice(sK7)) )
| ~ spl21_29 ),
inference(resolution,[],[f674,f239]) ).
fof(f239,plain,
! [X2,X3,X0,X1] :
( ~ element(X2,the_carrier(X0))
| related(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ~ in(X3,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ( ( ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) )
& ( relstr_element_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK0(X0,X1,X2))
& in(sK0(X0,X1,X2),X1)
& element(sK0(X0,X1,X2),the_carrier(X0)) ) ) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f166,f167]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ? [X4] :
( ~ related(X0,X2,X4)
& in(X4,X1)
& element(X4,the_carrier(X0)) )
=> ( ~ related(X0,X2,sK0(X0,X1,X2))
& in(sK0(X0,X1,X2),X1)
& element(sK0(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ( ( ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) )
& ( relstr_element_smaller(X0,X1,X2)
| ? [X4] :
( ~ related(X0,X2,X4)
& in(X4,X1)
& element(X4,the_carrier(X0)) ) ) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X2,X1] :
( ( ( ! [X3] :
( related(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X2,X1) )
& ( relstr_element_smaller(X0,X2,X1)
| ? [X3] :
( ~ related(X0,X1,X3)
& in(X3,X2)
& element(X3,the_carrier(X0)) ) ) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X2,X1] :
( ( ! [X3] :
( related(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
<=> relstr_element_smaller(X0,X2,X1) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X2,X1] :
( ( ! [X3] :
( related(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
<=> relstr_element_smaller(X0,X2,X1) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( rel_str(X0)
=> ! [X2,X1] :
( element(X1,the_carrier(X0))
=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
=> related(X0,X1,X3) ) )
<=> relstr_element_smaller(X0,X2,X1) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( rel_str(X0)
=> ! [X2,X1] :
( element(X2,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3) ).
fof(f674,plain,
( element(cast_to_el_of_lattice(sK7,sK8),the_carrier(poset_of_lattice(sK7)))
| ~ spl21_29 ),
inference(forward_demodulation,[],[f663,f664]) ).
fof(f664,plain,
( cast_to_el_of_LattPOSet(sK7,cast_to_el_of_lattice(sK7,sK8)) = cast_to_el_of_lattice(sK7,sK8)
| ~ spl21_29 ),
inference(resolution,[],[f599,f394]) ).
fof(f599,plain,
( element(cast_to_el_of_lattice(sK7,sK8),the_carrier(sK7))
| ~ spl21_29 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl21_29
<=> element(cast_to_el_of_lattice(sK7,sK8),the_carrier(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_29])]) ).
fof(f663,plain,
( element(cast_to_el_of_LattPOSet(sK7,cast_to_el_of_lattice(sK7,sK8)),the_carrier(poset_of_lattice(sK7)))
| ~ spl21_29 ),
inference(resolution,[],[f599,f390]) ).
fof(f390,plain,
! [X5] :
( ~ element(X5,the_carrier(sK7))
| element(cast_to_el_of_LattPOSet(sK7,X5),the_carrier(poset_of_lattice(sK7))) ),
inference(subsumption_resolution,[],[f389,f268]) ).
fof(f389,plain,
! [X5] :
( ~ latt_str(sK7)
| element(cast_to_el_of_LattPOSet(sK7,X5),the_carrier(poset_of_lattice(sK7)))
| ~ element(X5,the_carrier(sK7)) ),
inference(subsumption_resolution,[],[f370,f269]) ).
fof(f370,plain,
! [X5] :
( element(cast_to_el_of_LattPOSet(sK7,X5),the_carrier(poset_of_lattice(sK7)))
| empty_carrier(sK7)
| ~ element(X5,the_carrier(sK7))
| ~ latt_str(sK7) ),
inference(resolution,[],[f264,f344]) ).
fof(f344,plain,
! [X0,X1] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0))) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
| ~ element(X1,the_carrier(X0)) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] :
( ( element(X1,the_carrier(X0))
& latt_str(X0)
& ~ empty_carrier(X0)
& lattice(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(f1441,plain,
( in(sK13(sK7,sK8,sK6),sK6)
| spl21_1 ),
inference(subsumption_resolution,[],[f1440,f269]) ).
fof(f1440,plain,
( in(sK13(sK7,sK8,sK6),sK6)
| empty_carrier(sK7)
| spl21_1 ),
inference(subsumption_resolution,[],[f1439,f268]) ).
fof(f1439,plain,
( in(sK13(sK7,sK8,sK6),sK6)
| ~ latt_str(sK7)
| empty_carrier(sK7)
| spl21_1 ),
inference(subsumption_resolution,[],[f1437,f265]) ).
fof(f1437,plain,
( ~ element(sK8,the_carrier(sK7))
| empty_carrier(sK7)
| in(sK13(sK7,sK8,sK6),sK6)
| ~ latt_str(sK7)
| spl21_1 ),
inference(resolution,[],[f350,f312]) ).
fof(f312,plain,
! [X2,X0,X1] :
( latt_set_smaller(X0,X1,X2)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| in(sK13(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1015,plain,
( ! [X11,X12] :
( ~ related(poset_of_lattice(sK7),X12,X11)
| ~ element(X12,the_carrier(sK7))
| related_reflexive(poset_of_lattice(sK7),X12,X11)
| ~ element(X11,the_carrier(sK7)) )
| spl21_20
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f1014,f378]) ).
fof(f378,plain,
reflexive_relstr(poset_of_lattice(sK7)),
inference(subsumption_resolution,[],[f377,f269]) ).
fof(f377,plain,
( reflexive_relstr(poset_of_lattice(sK7))
| empty_carrier(sK7) ),
inference(subsumption_resolution,[],[f368,f268]) ).
fof(f368,plain,
( ~ latt_str(sK7)
| empty_carrier(sK7)
| reflexive_relstr(poset_of_lattice(sK7)) ),
inference(resolution,[],[f264,f337]) ).
fof(f337,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| reflexive_relstr(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( reflexive_relstr(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0)) )
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( reflexive_relstr(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0)) )
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ( lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> ( reflexive_relstr(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice3) ).
fof(f1014,plain,
( ! [X11,X12] :
( related_reflexive(poset_of_lattice(sK7),X12,X11)
| ~ element(X12,the_carrier(sK7))
| ~ reflexive_relstr(poset_of_lattice(sK7))
| ~ element(X11,the_carrier(sK7))
| ~ related(poset_of_lattice(sK7),X12,X11) )
| spl21_20
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f1013,f500]) ).
fof(f500,plain,
( ~ empty_carrier(poset_of_lattice(sK7))
| spl21_20 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f499,plain,
( spl21_20
<=> empty_carrier(poset_of_lattice(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_20])]) ).
fof(f1013,plain,
( ! [X11,X12] :
( ~ element(X11,the_carrier(sK7))
| related_reflexive(poset_of_lattice(sK7),X12,X11)
| ~ element(X12,the_carrier(sK7))
| empty_carrier(poset_of_lattice(sK7))
| ~ related(poset_of_lattice(sK7),X12,X11)
| ~ reflexive_relstr(poset_of_lattice(sK7)) )
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f999,f384]) ).
fof(f999,plain,
( ! [X11,X12] :
( ~ element(X12,the_carrier(sK7))
| ~ rel_str(poset_of_lattice(sK7))
| related_reflexive(poset_of_lattice(sK7),X12,X11)
| empty_carrier(poset_of_lattice(sK7))
| ~ related(poset_of_lattice(sK7),X12,X11)
| ~ element(X11,the_carrier(sK7))
| ~ reflexive_relstr(poset_of_lattice(sK7)) )
| ~ spl21_23 ),
inference(superposition,[],[f315,f942]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| related_reflexive(X1,X0,X2)
| ~ related(X1,X0,X2)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ~ element(X0,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ( ( related(X1,X0,X2)
| ~ related_reflexive(X1,X0,X2) )
& ( related_reflexive(X1,X0,X2)
| ~ related(X1,X0,X2) ) )
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1) ),
inference(rectify,[],[f208]) ).
fof(f208,plain,
! [X1,X2,X0] :
( ~ element(X1,the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ( ( related(X2,X1,X0)
| ~ related_reflexive(X2,X1,X0) )
& ( related_reflexive(X2,X1,X0)
| ~ related(X2,X1,X0) ) )
| empty_carrier(X2)
| ~ rel_str(X2)
| ~ reflexive_relstr(X2) ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X1,X2,X0] :
( ~ element(X1,the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ( related(X2,X1,X0)
<=> related_reflexive(X2,X1,X0) )
| empty_carrier(X2)
| ~ rel_str(X2)
| ~ reflexive_relstr(X2) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X2,X1,X0] :
( ( related(X2,X1,X0)
<=> related_reflexive(X2,X1,X0) )
| ~ element(X0,the_carrier(X2))
| empty_carrier(X2)
| ~ reflexive_relstr(X2)
| ~ element(X1,the_carrier(X2))
| ~ rel_str(X2) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X2,X1,X0] :
( ( element(X0,the_carrier(X2))
& ~ empty_carrier(X2)
& reflexive_relstr(X2)
& element(X1,the_carrier(X2))
& rel_str(X2) )
=> ( related(X2,X1,X0)
<=> related_reflexive(X2,X1,X0) ) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X2,X1,X0] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& reflexive_relstr(X0)
& rel_str(X0)
& ~ empty_carrier(X0) )
=> ( related(X0,X1,X2)
<=> related_reflexive(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).
fof(f1435,plain,
( ~ spl21_2
| ~ spl21_23
| spl21_56 ),
inference(avatar_contradiction_clause,[],[f1434]) ).
fof(f1434,plain,
( $false
| ~ spl21_2
| ~ spl21_23
| spl21_56 ),
inference(subsumption_resolution,[],[f1433,f1431]) ).
fof(f1431,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK7),sK6,sK8)
| ~ spl21_23
| spl21_56 ),
inference(subsumption_resolution,[],[f1372,f265]) ).
fof(f1372,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK7),sK6,sK8)
| ~ element(sK8,the_carrier(sK7))
| ~ spl21_23
| spl21_56 ),
inference(superposition,[],[f1366,f945]) ).
fof(f1366,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_lattice(sK7,sK8))
| spl21_56 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1433,plain,
( relstr_element_smaller(poset_of_lattice(sK7),sK6,sK8)
| ~ spl21_2 ),
inference(forward_demodulation,[],[f355,f578]) ).
fof(f355,plain,
( relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,sK8))
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f353,plain,
( spl21_2
<=> relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f1429,plain,
( ~ spl21_1
| spl21_2
| ~ spl21_4
| ~ spl21_19
| ~ spl21_23 ),
inference(avatar_contradiction_clause,[],[f1428]) ).
fof(f1428,plain,
( $false
| ~ spl21_1
| spl21_2
| ~ spl21_4
| ~ spl21_19
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f1427,f351]) ).
fof(f351,plain,
( latt_set_smaller(sK7,sK8,sK6)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f1427,plain,
( ~ latt_set_smaller(sK7,sK8,sK6)
| spl21_2
| ~ spl21_4
| ~ spl21_19
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f1399,f265]) ).
fof(f1399,plain,
( ~ element(sK8,the_carrier(sK7))
| ~ latt_set_smaller(sK7,sK8,sK6)
| spl21_2
| ~ spl21_4
| ~ spl21_19
| ~ spl21_23 ),
inference(resolution,[],[f1345,f1249]) ).
fof(f1249,plain,
( ~ related_reflexive(poset_of_lattice(sK7),sK8,sK0(poset_of_lattice(sK7),sK6,sK8))
| spl21_2
| ~ spl21_19
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f1248,f1168]) ).
fof(f1168,plain,
( element(sK0(poset_of_lattice(sK7),sK6,sK8),the_carrier(sK7))
| spl21_2
| ~ spl21_23 ),
inference(resolution,[],[f1166,f953]) ).
fof(f953,plain,
( ! [X5] :
( relstr_element_smaller(poset_of_lattice(sK7),X5,sK8)
| element(sK0(poset_of_lattice(sK7),X5,sK8),the_carrier(sK7)) )
| ~ spl21_23 ),
inference(backward_demodulation,[],[f660,f942]) ).
fof(f660,plain,
! [X5] :
( element(sK0(poset_of_lattice(sK7),X5,sK8),the_carrier(poset_of_lattice(sK7)))
| relstr_element_smaller(poset_of_lattice(sK7),X5,sK8) ),
inference(subsumption_resolution,[],[f644,f384]) ).
fof(f644,plain,
! [X5] :
( element(sK0(poset_of_lattice(sK7),X5,sK8),the_carrier(poset_of_lattice(sK7)))
| relstr_element_smaller(poset_of_lattice(sK7),X5,sK8)
| ~ rel_str(poset_of_lattice(sK7)) ),
inference(resolution,[],[f617,f236]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| element(sK0(X0,X1,X2),the_carrier(X0))
| relstr_element_smaller(X0,X1,X2)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f617,plain,
element(sK8,the_carrier(poset_of_lattice(sK7))),
inference(forward_demodulation,[],[f613,f578]) ).
fof(f613,plain,
element(cast_to_el_of_LattPOSet(sK7,sK8),the_carrier(poset_of_lattice(sK7))),
inference(resolution,[],[f390,f265]) ).
fof(f1166,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK7),sK6,sK8)
| spl21_2 ),
inference(forward_demodulation,[],[f354,f578]) ).
fof(f354,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,sK8))
| spl21_2 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f1248,plain,
( ~ related_reflexive(poset_of_lattice(sK7),sK8,sK0(poset_of_lattice(sK7),sK6,sK8))
| ~ element(sK0(poset_of_lattice(sK7),sK6,sK8),the_carrier(sK7))
| spl21_2
| ~ spl21_19
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f1246,f265]) ).
fof(f1246,plain,
( ~ related_reflexive(poset_of_lattice(sK7),sK8,sK0(poset_of_lattice(sK7),sK6,sK8))
| ~ element(sK8,the_carrier(sK7))
| ~ element(sK0(poset_of_lattice(sK7),sK6,sK8),the_carrier(sK7))
| spl21_2
| ~ spl21_19
| ~ spl21_23 ),
inference(resolution,[],[f1167,f986]) ).
fof(f986,plain,
( ! [X0,X1] :
( related(poset_of_lattice(sK7),X1,X0)
| ~ element(X0,the_carrier(sK7))
| ~ element(X1,the_carrier(sK7))
| ~ related_reflexive(poset_of_lattice(sK7),X1,X0) )
| ~ spl21_19
| ~ spl21_23 ),
inference(forward_demodulation,[],[f946,f942]) ).
fof(f946,plain,
( ! [X0,X1] :
( ~ related_reflexive(poset_of_lattice(sK7),X1,X0)
| related(poset_of_lattice(sK7),X1,X0)
| ~ element(X0,the_carrier(poset_of_lattice(sK7)))
| ~ element(X1,the_carrier(sK7)) )
| ~ spl21_19
| ~ spl21_23 ),
inference(backward_demodulation,[],[f497,f942]) ).
fof(f497,plain,
( ! [X0,X1] :
( ~ related_reflexive(poset_of_lattice(sK7),X1,X0)
| ~ element(X1,the_carrier(poset_of_lattice(sK7)))
| ~ element(X0,the_carrier(poset_of_lattice(sK7)))
| related(poset_of_lattice(sK7),X1,X0) )
| ~ spl21_19 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl21_19
<=> ! [X0,X1] :
( ~ element(X1,the_carrier(poset_of_lattice(sK7)))
| ~ element(X0,the_carrier(poset_of_lattice(sK7)))
| related(poset_of_lattice(sK7),X1,X0)
| ~ related_reflexive(poset_of_lattice(sK7),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_19])]) ).
fof(f1167,plain,
( ~ related(poset_of_lattice(sK7),sK8,sK0(poset_of_lattice(sK7),sK6,sK8))
| spl21_2 ),
inference(resolution,[],[f1166,f661]) ).
fof(f661,plain,
! [X6] :
( relstr_element_smaller(poset_of_lattice(sK7),X6,sK8)
| ~ related(poset_of_lattice(sK7),sK8,sK0(poset_of_lattice(sK7),X6,sK8)) ),
inference(subsumption_resolution,[],[f645,f384]) ).
fof(f645,plain,
! [X6] :
( ~ rel_str(poset_of_lattice(sK7))
| ~ related(poset_of_lattice(sK7),sK8,sK0(poset_of_lattice(sK7),X6,sK8))
| relstr_element_smaller(poset_of_lattice(sK7),X6,sK8) ),
inference(resolution,[],[f617,f238]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ related(X0,X2,sK0(X0,X1,X2))
| relstr_element_smaller(X0,X1,X2)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f1345,plain,
( ! [X3] :
( related_reflexive(poset_of_lattice(sK7),X3,sK0(poset_of_lattice(sK7),sK6,sK8))
| ~ latt_set_smaller(sK7,X3,sK6)
| ~ element(X3,the_carrier(sK7)) )
| spl21_2
| ~ spl21_4
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f1342,f1168]) ).
fof(f1342,plain,
( ! [X3] :
( related_reflexive(poset_of_lattice(sK7),X3,sK0(poset_of_lattice(sK7),sK6,sK8))
| ~ latt_set_smaller(sK7,X3,sK6)
| ~ element(sK0(poset_of_lattice(sK7),sK6,sK8),the_carrier(sK7))
| ~ element(X3,the_carrier(sK7)) )
| spl21_2
| ~ spl21_4 ),
inference(resolution,[],[f1191,f1169]) ).
fof(f1169,plain,
( in(sK0(poset_of_lattice(sK7),sK6,sK8),sK6)
| spl21_2 ),
inference(resolution,[],[f1166,f659]) ).
fof(f659,plain,
! [X4] :
( relstr_element_smaller(poset_of_lattice(sK7),X4,sK8)
| in(sK0(poset_of_lattice(sK7),X4,sK8),X4) ),
inference(subsumption_resolution,[],[f643,f384]) ).
fof(f643,plain,
! [X4] :
( ~ rel_str(poset_of_lattice(sK7))
| in(sK0(poset_of_lattice(sK7),X4,sK8),X4)
| relstr_element_smaller(poset_of_lattice(sK7),X4,sK8) ),
inference(resolution,[],[f617,f237]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| in(sK0(X0,X1,X2),X1)
| ~ rel_str(X0)
| relstr_element_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f1191,plain,
( ! [X2,X3,X4] :
( ~ in(X3,X4)
| ~ element(X3,the_carrier(sK7))
| ~ latt_set_smaller(sK7,X2,X4)
| related_reflexive(poset_of_lattice(sK7),X2,X3)
| ~ element(X2,the_carrier(sK7)) )
| ~ spl21_4 ),
inference(duplicate_literal_removal,[],[f1189]) ).
fof(f1189,plain,
( ! [X2,X3,X4] :
( ~ element(X3,the_carrier(sK7))
| ~ element(X2,the_carrier(sK7))
| ~ in(X3,X4)
| ~ element(X2,the_carrier(sK7))
| related_reflexive(poset_of_lattice(sK7),X2,X3)
| ~ element(X3,the_carrier(sK7))
| ~ latt_set_smaller(sK7,X2,X4) )
| ~ spl21_4 ),
inference(resolution,[],[f932,f396]) ).
fof(f396,plain,
! [X2,X0,X1] :
( below(sK7,X2,X0)
| ~ element(X0,the_carrier(sK7))
| ~ latt_set_smaller(sK7,X2,X1)
| ~ element(X2,the_carrier(sK7))
| ~ in(X0,X1) ),
inference(subsumption_resolution,[],[f395,f269]) ).
fof(f395,plain,
! [X2,X0,X1] :
( empty_carrier(sK7)
| ~ element(X0,the_carrier(sK7))
| below(sK7,X2,X0)
| ~ in(X0,X1)
| ~ latt_set_smaller(sK7,X2,X1)
| ~ element(X2,the_carrier(sK7)) ),
inference(resolution,[],[f268,f311]) ).
fof(f311,plain,
! [X2,X0,X1,X4] :
( ~ latt_str(X0)
| ~ in(X4,X2)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ latt_set_smaller(X0,X1,X2)
| ~ element(X4,the_carrier(X0))
| below(X0,X1,X4) ),
inference(cnf_transformation,[],[f207]) ).
fof(f932,plain,
( ! [X0,X1] :
( ~ below(sK7,X0,X1)
| related_reflexive(poset_of_lattice(sK7),X0,X1)
| ~ element(X1,the_carrier(sK7))
| ~ element(X0,the_carrier(sK7)) )
| ~ spl21_4 ),
inference(forward_subsumption_demodulation,[],[f931,f394]) ).
fof(f931,plain,
( ! [X0,X1] :
( ~ below(sK7,X0,X1)
| ~ element(X0,the_carrier(sK7))
| ~ element(X1,the_carrier(sK7))
| related_reflexive(poset_of_lattice(sK7),X0,cast_to_el_of_LattPOSet(sK7,X1)) )
| ~ spl21_4 ),
inference(forward_subsumption_demodulation,[],[f930,f394]) ).
fof(f930,plain,
( ! [X0,X1] :
( ~ below(sK7,X0,X1)
| ~ element(X1,the_carrier(sK7))
| related_reflexive(poset_of_lattice(sK7),cast_to_el_of_LattPOSet(sK7,X0),cast_to_el_of_LattPOSet(sK7,X1))
| ~ element(X0,the_carrier(sK7)) )
| ~ spl21_4 ),
inference(duplicate_literal_removal,[],[f929]) ).
fof(f929,plain,
( ! [X0,X1] :
( ~ element(X0,the_carrier(sK7))
| ~ element(X1,the_carrier(sK7))
| ~ below(sK7,X0,X1)
| related_reflexive(poset_of_lattice(sK7),cast_to_el_of_LattPOSet(sK7,X0),cast_to_el_of_LattPOSet(sK7,X1))
| ~ element(X1,the_carrier(sK7))
| ~ element(X0,the_carrier(sK7)) )
| ~ spl21_4 ),
inference(resolution,[],[f409,f382]) ).
fof(f382,plain,
! [X2,X1] :
( ~ below_refl(sK7,X1,X2)
| related_reflexive(poset_of_lattice(sK7),cast_to_el_of_LattPOSet(sK7,X1),cast_to_el_of_LattPOSet(sK7,X2))
| ~ element(X1,the_carrier(sK7))
| ~ element(X2,the_carrier(sK7)) ),
inference(subsumption_resolution,[],[f381,f269]) ).
fof(f381,plain,
! [X2,X1] :
( related_reflexive(poset_of_lattice(sK7),cast_to_el_of_LattPOSet(sK7,X1),cast_to_el_of_LattPOSet(sK7,X2))
| ~ element(X2,the_carrier(sK7))
| ~ below_refl(sK7,X1,X2)
| ~ element(X1,the_carrier(sK7))
| empty_carrier(sK7) ),
inference(subsumption_resolution,[],[f366,f268]) ).
fof(f366,plain,
! [X2,X1] :
( ~ latt_str(sK7)
| ~ element(X2,the_carrier(sK7))
| empty_carrier(sK7)
| ~ below_refl(sK7,X1,X2)
| related_reflexive(poset_of_lattice(sK7),cast_to_el_of_LattPOSet(sK7,X1),cast_to_el_of_LattPOSet(sK7,X2))
| ~ element(X1,the_carrier(sK7)) ),
inference(resolution,[],[f264,f323]) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ lattice(X0)
| ~ below_refl(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f409,plain,
( ! [X0,X1] :
( below_refl(sK7,X0,X1)
| ~ below(sK7,X0,X1)
| ~ element(X0,the_carrier(sK7))
| ~ element(X1,the_carrier(sK7)) )
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl21_4
<=> ! [X0,X1] :
( below_refl(sK7,X0,X1)
| ~ element(X1,the_carrier(sK7))
| ~ below(sK7,X0,X1)
| ~ element(X0,the_carrier(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f646,plain,
spl21_29,
inference(avatar_split_clause,[],[f639,f597]) ).
fof(f639,plain,
element(cast_to_el_of_lattice(sK7,sK8),the_carrier(sK7)),
inference(resolution,[],[f617,f372]) ).
fof(f372,plain,
! [X3] :
( ~ element(X3,the_carrier(poset_of_lattice(sK7)))
| element(cast_to_el_of_lattice(sK7,X3),the_carrier(sK7)) ),
inference(subsumption_resolution,[],[f371,f268]) ).
fof(f371,plain,
! [X3] :
( element(cast_to_el_of_lattice(sK7,X3),the_carrier(sK7))
| ~ latt_str(sK7)
| ~ element(X3,the_carrier(poset_of_lattice(sK7))) ),
inference(subsumption_resolution,[],[f367,f269]) ).
fof(f367,plain,
! [X3] :
( empty_carrier(sK7)
| element(cast_to_el_of_lattice(sK7,X3),the_carrier(sK7))
| ~ element(X3,the_carrier(poset_of_lattice(sK7)))
| ~ latt_str(sK7) ),
inference(resolution,[],[f264,f324]) ).
fof(f324,plain,
! [X0,X1] :
( ~ lattice(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(poset_of_lattice(X0)))
| empty_carrier(X0)
| element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( ~ element(X0,the_carrier(poset_of_lattice(X1)))
| empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X0),the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X1,X0] :
( element(cast_to_el_of_lattice(X1,X0),the_carrier(X1))
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X0,the_carrier(poset_of_lattice(X1))) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1)
& element(X0,the_carrier(poset_of_lattice(X1))) )
=> element(cast_to_el_of_lattice(X1,X0),the_carrier(X1)) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( ( element(X1,the_carrier(poset_of_lattice(X0)))
& latt_str(X0)
& ~ empty_carrier(X0)
& lattice(X0) )
=> element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattice3) ).
fof(f623,plain,
~ spl21_20,
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f622,plain,
( $false
| ~ spl21_20 ),
inference(subsumption_resolution,[],[f621,f268]) ).
fof(f621,plain,
( ~ latt_str(sK7)
| ~ spl21_20 ),
inference(subsumption_resolution,[],[f620,f269]) ).
fof(f620,plain,
( empty_carrier(sK7)
| ~ latt_str(sK7)
| ~ spl21_20 ),
inference(subsumption_resolution,[],[f619,f264]) ).
fof(f619,plain,
( ~ lattice(sK7)
| empty_carrier(sK7)
| ~ latt_str(sK7)
| ~ spl21_20 ),
inference(resolution,[],[f501,f336]) ).
fof(f336,plain,
! [X0] :
( ~ empty_carrier(poset_of_lattice(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f501,plain,
( empty_carrier(poset_of_lattice(sK7))
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f577,plain,
spl21_24,
inference(avatar_split_clause,[],[f566,f517]) ).
fof(f517,plain,
( spl21_24
<=> strict_rel_str(poset_of_lattice(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).
fof(f566,plain,
strict_rel_str(poset_of_lattice(sK7)),
inference(subsumption_resolution,[],[f537,f526]) ).
fof(f537,plain,
( ~ relation_of2(k2_lattice3(sK7),the_carrier(sK7),the_carrier(sK7))
| strict_rel_str(poset_of_lattice(sK7)) ),
inference(superposition,[],[f309,f386]) ).
fof(f309,plain,
! [X0,X1] :
( strict_rel_str(rel_str_of(X0,X1))
| ~ relation_of2(X1,X0,X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1] :
( ( rel_str(rel_str_of(X0,X1))
& strict_rel_str(rel_str_of(X0,X1)) )
| ~ relation_of2(X1,X0,X0) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X1,X0] :
( ( rel_str(rel_str_of(X1,X0))
& strict_rel_str(rel_str_of(X1,X0)) )
| ~ relation_of2(X0,X1,X1) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( relation_of2(X0,X1,X1)
=> ( rel_str(rel_str_of(X1,X0))
& strict_rel_str(rel_str_of(X1,X0)) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
( relation_of2(X1,X0,X0)
=> ( strict_rel_str(rel_str_of(X0,X1))
& rel_str(rel_str_of(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_orders_2) ).
fof(f520,plain,
( spl21_23
| ~ spl21_24 ),
inference(avatar_split_clause,[],[f511,f517,f513]) ).
fof(f511,plain,
( ~ strict_rel_str(poset_of_lattice(sK7))
| rel_str_of(the_carrier(poset_of_lattice(sK7)),the_InternalRel(poset_of_lattice(sK7))) = poset_of_lattice(sK7) ),
inference(resolution,[],[f384,f246]) ).
fof(f246,plain,
! [X0] :
( ~ rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,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(f502,plain,
( spl21_19
| spl21_20 ),
inference(avatar_split_clause,[],[f494,f499,f496]) ).
fof(f494,plain,
! [X0,X1] :
( empty_carrier(poset_of_lattice(sK7))
| ~ element(X1,the_carrier(poset_of_lattice(sK7)))
| ~ related_reflexive(poset_of_lattice(sK7),X1,X0)
| related(poset_of_lattice(sK7),X1,X0)
| ~ element(X0,the_carrier(poset_of_lattice(sK7))) ),
inference(subsumption_resolution,[],[f492,f384]) ).
fof(f492,plain,
! [X0,X1] :
( ~ related_reflexive(poset_of_lattice(sK7),X1,X0)
| related(poset_of_lattice(sK7),X1,X0)
| empty_carrier(poset_of_lattice(sK7))
| ~ element(X0,the_carrier(poset_of_lattice(sK7)))
| ~ rel_str(poset_of_lattice(sK7))
| ~ element(X1,the_carrier(poset_of_lattice(sK7))) ),
inference(resolution,[],[f378,f316]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ reflexive_relstr(X1)
| ~ element(X2,the_carrier(X1))
| related(X1,X0,X2)
| ~ related_reflexive(X1,X0,X2)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f476,plain,
spl21_5,
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f475,plain,
( $false
| spl21_5 ),
inference(subsumption_resolution,[],[f474,f268]) ).
fof(f474,plain,
( ~ latt_str(sK7)
| spl21_5 ),
inference(subsumption_resolution,[],[f473,f269]) ).
fof(f473,plain,
( empty_carrier(sK7)
| ~ latt_str(sK7)
| spl21_5 ),
inference(subsumption_resolution,[],[f472,f264]) ).
fof(f472,plain,
( ~ lattice(sK7)
| empty_carrier(sK7)
| ~ latt_str(sK7)
| spl21_5 ),
inference(resolution,[],[f413,f286]) ).
fof(f286,plain,
! [X0] :
( meet_commutative(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ( ~ empty_carrier(X0)
& meet_associative(X0)
& join_absorbing(X0)
& join_commutative(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& join_associative(X0) )
| ~ latt_str(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_associative(X0)
& join_absorbing(X0)
& join_commutative(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& join_associative(X0) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( latt_str(X0)
=> ( ( lattice(X0)
& ~ empty_carrier(X0) )
=> ( ~ empty_carrier(X0)
& meet_associative(X0)
& join_absorbing(X0)
& join_commutative(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& join_associative(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f413,plain,
( ~ meet_commutative(sK7)
| spl21_5 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl21_5
<=> meet_commutative(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f434,plain,
spl21_3,
inference(avatar_contradiction_clause,[],[f433]) ).
fof(f433,plain,
( $false
| spl21_3 ),
inference(subsumption_resolution,[],[f432,f264]) ).
fof(f432,plain,
( ~ lattice(sK7)
| spl21_3 ),
inference(subsumption_resolution,[],[f431,f269]) ).
fof(f431,plain,
( empty_carrier(sK7)
| ~ lattice(sK7)
| spl21_3 ),
inference(subsumption_resolution,[],[f430,f268]) ).
fof(f430,plain,
( ~ latt_str(sK7)
| ~ lattice(sK7)
| empty_carrier(sK7)
| spl21_3 ),
inference(resolution,[],[f406,f287]) ).
fof(f287,plain,
! [X0] :
( meet_absorbing(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f406,plain,
( ~ meet_absorbing(sK7)
| spl21_3 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f404,plain,
( spl21_3
<=> meet_absorbing(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f429,plain,
( ~ spl21_5
| spl21_8
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f425,f404,f427,f411]) ).
fof(f425,plain,
! [X2,X3] :
( ~ meet_absorbing(sK7)
| ~ element(X2,the_carrier(sK7))
| ~ meet_commutative(sK7)
| ~ below_refl(sK7,X2,X3)
| below(sK7,X2,X3)
| ~ element(X3,the_carrier(sK7)) ),
inference(subsumption_resolution,[],[f424,f269]) ).
fof(f424,plain,
! [X2,X3] :
( ~ element(X3,the_carrier(sK7))
| empty_carrier(sK7)
| below(sK7,X2,X3)
| ~ meet_commutative(sK7)
| ~ below_refl(sK7,X2,X3)
| ~ element(X2,the_carrier(sK7))
| ~ meet_absorbing(sK7) ),
inference(subsumption_resolution,[],[f398,f268]) ).
fof(f398,plain,
! [X2,X3] :
( ~ latt_str(sK7)
| below(sK7,X2,X3)
| ~ below_refl(sK7,X2,X3)
| empty_carrier(sK7)
| ~ meet_absorbing(sK7)
| ~ element(X2,the_carrier(sK7))
| ~ meet_commutative(sK7)
| ~ element(X3,the_carrier(sK7)) ),
inference(resolution,[],[f388,f282]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ join_absorbing(X2)
| ~ latt_str(X2)
| below(X2,X1,X0)
| ~ meet_commutative(X2)
| ~ below_refl(X2,X1,X0)
| empty_carrier(X2)
| ~ element(X0,the_carrier(X2))
| ~ meet_absorbing(X2)
| ~ element(X1,the_carrier(X2)) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2] :
( empty_carrier(X2)
| ~ latt_str(X2)
| ( ( below_refl(X2,X1,X0)
| ~ below(X2,X1,X0) )
& ( below(X2,X1,X0)
| ~ below_refl(X2,X1,X0) ) )
| ~ element(X0,the_carrier(X2))
| ~ join_absorbing(X2)
| ~ meet_commutative(X2)
| ~ meet_absorbing(X2)
| ~ element(X1,the_carrier(X2)) ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
! [X1,X2,X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ( ( below_refl(X0,X2,X1)
| ~ below(X0,X2,X1) )
& ( below(X0,X2,X1)
| ~ below_refl(X0,X2,X1) ) )
| ~ element(X1,the_carrier(X0))
| ~ join_absorbing(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(nnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X1,X2,X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ( below_refl(X0,X2,X1)
<=> below(X0,X2,X1) )
| ~ element(X1,the_carrier(X0))
| ~ join_absorbing(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ( below_refl(X0,X2,X1)
<=> below(X0,X2,X1) )
| ~ meet_commutative(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ join_absorbing(X0)
| ~ meet_absorbing(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ( meet_commutative(X0)
& element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& latt_str(X0)
& join_absorbing(X0)
& meet_absorbing(X0)
& ~ empty_carrier(X0) )
=> ( below_refl(X0,X2,X1)
<=> below(X0,X2,X1) ) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X0,X2,X1] :
( ( join_absorbing(X0)
& latt_str(X0)
& element(X2,the_carrier(X0))
& meet_commutative(X0)
& meet_absorbing(X0)
& element(X1,the_carrier(X0))
& ~ empty_carrier(X0) )
=> ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f388,plain,
join_absorbing(sK7),
inference(subsumption_resolution,[],[f387,f269]) ).
fof(f387,plain,
( empty_carrier(sK7)
| join_absorbing(sK7) ),
inference(subsumption_resolution,[],[f361,f268]) ).
fof(f361,plain,
( join_absorbing(sK7)
| ~ latt_str(sK7)
| empty_carrier(sK7) ),
inference(resolution,[],[f264,f289]) ).
fof(f289,plain,
! [X0] :
( ~ lattice(X0)
| join_absorbing(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f414,plain,
( ~ spl21_3
| spl21_4
| ~ spl21_5 ),
inference(avatar_split_clause,[],[f402,f411,f408,f404]) ).
fof(f402,plain,
! [X0,X1] :
( ~ meet_commutative(sK7)
| below_refl(sK7,X0,X1)
| ~ meet_absorbing(sK7)
| ~ element(X0,the_carrier(sK7))
| ~ below(sK7,X0,X1)
| ~ element(X1,the_carrier(sK7)) ),
inference(subsumption_resolution,[],[f401,f268]) ).
fof(f401,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(sK7))
| below_refl(sK7,X0,X1)
| ~ below(sK7,X0,X1)
| ~ meet_absorbing(sK7)
| ~ meet_commutative(sK7)
| ~ element(X0,the_carrier(sK7))
| ~ latt_str(sK7) ),
inference(subsumption_resolution,[],[f397,f269]) ).
fof(f397,plain,
! [X0,X1] :
( empty_carrier(sK7)
| ~ element(X1,the_carrier(sK7))
| ~ below(sK7,X0,X1)
| ~ meet_commutative(sK7)
| ~ latt_str(sK7)
| below_refl(sK7,X0,X1)
| ~ element(X0,the_carrier(sK7))
| ~ meet_absorbing(sK7) ),
inference(resolution,[],[f388,f283]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ join_absorbing(X2)
| ~ meet_absorbing(X2)
| ~ element(X1,the_carrier(X2))
| ~ below(X2,X1,X0)
| empty_carrier(X2)
| ~ element(X0,the_carrier(X2))
| ~ latt_str(X2)
| ~ meet_commutative(X2)
| below_refl(X2,X1,X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f357,plain,
( ~ spl21_2
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f267,f349,f353]) ).
fof(f267,plain,
( ~ latt_set_smaller(sK7,sK8,sK6)
| ~ relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,sK8)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f356,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f266,f353,f349]) ).
fof(f266,plain,
( relstr_element_smaller(poset_of_lattice(sK7),sK6,cast_to_el_of_LattPOSet(sK7,sK8))
| latt_set_smaller(sK7,sK8,sK6) ),
inference(cnf_transformation,[],[f186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU347+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.31 % Computer : n027.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Aug 30 15:31:46 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.15/0.47 % (20687)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)
% 0.15/0.47 % (20692)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)
% 0.15/0.48 % (20708)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.48 % (20692)Instruction limit reached!
% 0.15/0.48 % (20692)------------------------------
% 0.15/0.48 % (20692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (20700)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.15/0.48 % (20692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (20692)Termination reason: Unknown
% 0.15/0.48 % (20692)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (20692)Memory used [KB]: 6140
% 0.15/0.48 % (20692)Time elapsed: 0.101 s
% 0.15/0.48 % (20692)Instructions burned: 7 (million)
% 0.15/0.48 % (20692)------------------------------
% 0.15/0.48 % (20692)------------------------------
% 0.15/0.49 % (20703)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)
% 0.15/0.49 % (20700)Refutation not found, incomplete strategy% (20700)------------------------------
% 0.15/0.49 % (20700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (20700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (20700)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.49
% 0.15/0.49 % (20700)Memory used [KB]: 6140
% 0.15/0.49 % (20700)Time elapsed: 0.111 s
% 0.15/0.49 % (20700)Instructions burned: 4 (million)
% 0.15/0.49 % (20700)------------------------------
% 0.15/0.49 % (20700)------------------------------
% 0.15/0.49 % (20695)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)
% 0.15/0.50 % (20695)Instruction limit reached!
% 0.15/0.50 % (20695)------------------------------
% 0.15/0.50 % (20695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (20695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (20695)Termination reason: Unknown
% 0.15/0.50 % (20695)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (20695)Memory used [KB]: 1535
% 0.15/0.50 % (20695)Time elapsed: 0.005 s
% 0.15/0.50 % (20695)Instructions burned: 4 (million)
% 0.15/0.50 % (20695)------------------------------
% 0.15/0.50 % (20695)------------------------------
% 0.15/0.50 % (20688)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.50 % (20689)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)
% 0.15/0.51 % (20685)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)
% 0.15/0.51 % (20686)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)
% 0.15/0.52 % (20708)Instruction limit reached!
% 0.15/0.52 % (20708)------------------------------
% 0.15/0.52 % (20708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (20708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (20708)Termination reason: Unknown
% 0.15/0.52 % (20708)Termination phase: Saturation
% 0.15/0.52
% 0.15/0.52 % (20708)Memory used [KB]: 6652
% 0.15/0.52 % (20708)Time elapsed: 0.135 s
% 0.15/0.52 % (20708)Instructions burned: 25 (million)
% 0.15/0.52 % (20708)------------------------------
% 0.15/0.52 % (20708)------------------------------
% 0.15/0.52 % (20682)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)
% 0.15/0.52 % (20681)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.15/0.52 % (20691)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.15/0.53 % (20709)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)
% 0.15/0.53 % (20694)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.53 % (20687)Instruction limit reached!
% 0.15/0.53 % (20687)------------------------------
% 0.15/0.53 % (20687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (20687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (20687)Termination reason: Unknown
% 0.15/0.53 % (20687)Termination phase: Saturation
% 0.15/0.53
% 0.15/0.53 % (20687)Memory used [KB]: 6524
% 0.15/0.53 % (20687)Time elapsed: 0.158 s
% 0.15/0.53 % (20687)Instructions burned: 40 (million)
% 0.15/0.53 % (20687)------------------------------
% 0.15/0.53 % (20687)------------------------------
% 0.15/0.53 % (20683)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)
% 0.15/0.53 % (20690)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)
% 0.15/0.53 % (20683)Instruction limit reached!
% 0.15/0.53 % (20683)------------------------------
% 0.15/0.53 % (20683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (20683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (20683)Termination reason: Unknown
% 0.15/0.53 % (20683)Termination phase: Preprocessing 3
% 0.15/0.53
% 0.15/0.53 % (20683)Memory used [KB]: 1535
% 0.15/0.53 % (20683)Time elapsed: 0.004 s
% 0.15/0.53 % (20683)Instructions burned: 3 (million)
% 0.15/0.53 % (20683)------------------------------
% 0.15/0.53 % (20683)------------------------------
% 0.15/0.54 % (20701)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)
% 0.15/0.54 % (20706)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.15/0.54 % (20707)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.54 % (20704)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.54 % (20686)Instruction limit reached!
% 0.15/0.54 % (20686)------------------------------
% 0.15/0.54 % (20686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (20686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (20686)Termination reason: Unknown
% 0.15/0.54 % (20686)Termination phase: Saturation
% 0.15/0.54
% 0.15/0.54 % (20686)Memory used [KB]: 1791
% 0.15/0.54 % (20686)Time elapsed: 0.145 s
% 0.15/0.54 % (20686)Instructions burned: 15 (million)
% 0.15/0.54 % (20686)------------------------------
% 0.15/0.54 % (20686)------------------------------
% 0.15/0.54 % (20702)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.54 % (20705)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.54 % (20693)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)
% 0.15/0.54 % (20699)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.55 % (20697)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.55 % (20699)Instruction limit reached!
% 0.15/0.55 % (20699)------------------------------
% 0.15/0.55 % (20699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (20699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (20699)Termination reason: Unknown
% 0.15/0.55 % (20699)Termination phase: Property scanning
% 0.15/0.55
% 0.15/0.55 % (20699)Memory used [KB]: 1535
% 0.15/0.55 % (20699)Time elapsed: 0.003 s
% 0.15/0.55 % (20699)Instructions burned: 2 (million)
% 0.15/0.55 % (20699)------------------------------
% 0.15/0.55 % (20699)------------------------------
% 0.15/0.55 % (20698)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.55 % (20698)Instruction limit reached!
% 0.15/0.55 % (20698)------------------------------
% 0.15/0.55 % (20698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (20698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (20698)Termination reason: Unknown
% 0.15/0.55 % (20698)Termination phase: Property scanning
% 0.15/0.55
% 0.15/0.55 % (20698)Memory used [KB]: 1663
% 0.15/0.55 % (20698)Time elapsed: 0.005 s
% 0.15/0.55 % (20698)Instructions burned: 4 (million)
% 0.15/0.55 % (20698)------------------------------
% 0.15/0.55 % (20698)------------------------------
% 0.15/0.55 % (20691)Instruction limit reached!
% 0.15/0.55 % (20691)------------------------------
% 0.15/0.55 % (20691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (20685)Instruction limit reached!
% 0.15/0.55 % (20685)------------------------------
% 0.15/0.55 % (20685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (20685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (20685)Termination reason: Unknown
% 0.15/0.55 % (20685)Termination phase: Saturation
% 0.15/0.55
% 0.15/0.55 % (20685)Memory used [KB]: 6268
% 0.15/0.55 % (20685)Time elapsed: 0.156 s
% 0.15/0.55 % (20685)Instructions burned: 13 (million)
% 0.15/0.55 % (20685)------------------------------
% 0.15/0.55 % (20685)------------------------------
% 0.15/0.55 % (20710)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)
% 0.15/0.55 % (20709)Instruction limit reached!
% 0.15/0.55 % (20709)------------------------------
% 0.15/0.55 % (20709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (20709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (20709)Termination reason: Unknown
% 0.15/0.55 % (20709)Termination phase: Saturation
% 0.15/0.55
% 0.15/0.55 % (20709)Memory used [KB]: 6268
% 0.15/0.55 % (20709)Time elapsed: 0.169 s
% 0.15/0.55 % (20709)Instructions burned: 8 (million)
% 0.15/0.55 % (20709)------------------------------
% 0.15/0.55 % (20709)------------------------------
% 0.15/0.55 % (20696)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)
% 0.15/0.56 % (20694)Refutation not found, incomplete strategy% (20694)------------------------------
% 0.15/0.56 % (20694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56 % (20691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56 % (20691)Termination reason: Unknown
% 0.15/0.56 % (20691)Termination phase: Saturation
% 0.15/0.56
% 0.15/0.56 % (20691)Memory used [KB]: 6268
% 0.15/0.56 % (20691)Time elapsed: 0.154 s
% 0.15/0.56 % (20691)Instructions burned: 13 (million)
% 0.15/0.56 % (20691)------------------------------
% 0.15/0.56 % (20691)------------------------------
% 0.15/0.57 % (20684)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)
% 0.15/0.58 % (20694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58 % (20694)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.58
% 0.15/0.58 % (20694)Memory used [KB]: 6268
% 0.15/0.58 % (20694)Time elapsed: 0.168 s
% 0.15/0.58 % (20694)Instructions burned: 12 (million)
% 0.15/0.58 % (20694)------------------------------
% 0.15/0.58 % (20694)------------------------------
% 0.15/0.58 % (20682)Refutation not found, incomplete strategy% (20682)------------------------------
% 0.15/0.58 % (20682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58 % (20682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58 % (20682)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.58
% 0.15/0.58 % (20682)Memory used [KB]: 6268
% 0.15/0.58 % (20682)Time elapsed: 0.197 s
% 0.15/0.58 % (20682)Instructions burned: 12 (million)
% 0.15/0.58 % (20682)------------------------------
% 0.15/0.58 % (20682)------------------------------
% 0.15/0.58 % (20710)Instruction limit reached!
% 0.15/0.58 % (20710)------------------------------
% 0.15/0.58 % (20710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.59 % (20696)Instruction limit reached!
% 0.15/0.59 % (20696)------------------------------
% 0.15/0.59 % (20696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.59 % (20696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.59 % (20696)Termination reason: Unknown
% 0.15/0.59 % (20696)Termination phase: Saturation
% 0.15/0.59
% 0.15/0.59 % (20696)Memory used [KB]: 6140
% 0.15/0.59 % (20696)Time elapsed: 0.209 s
% 0.15/0.59 % (20696)Instructions burned: 7 (million)
% 0.15/0.59 % (20696)------------------------------
% 0.15/0.59 % (20696)------------------------------
% 0.15/0.59 % (20693)Instruction limit reached!
% 0.15/0.59 % (20693)------------------------------
% 0.15/0.59 % (20693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.59 % (20693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.59 % (20693)Termination reason: Unknown
% 0.15/0.59 % (20693)Termination phase: Saturation
% 0.15/0.59
% 0.15/0.59 % (20693)Memory used [KB]: 1918
% 0.15/0.59 % (20693)Time elapsed: 0.197 s
% 0.15/0.59 % (20693)Instructions burned: 16 (million)
% 0.15/0.59 % (20693)------------------------------
% 0.15/0.59 % (20693)------------------------------
% 2.07/0.61 % (20710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.61 % (20710)Termination reason: Unknown
% 2.07/0.61 % (20710)Termination phase: Saturation
% 2.07/0.61
% 2.07/0.61 % (20710)Memory used [KB]: 6396
% 2.07/0.61 % (20710)Time elapsed: 0.194 s
% 2.07/0.61 % (20710)Instructions burned: 25 (million)
% 2.07/0.61 % (20710)------------------------------
% 2.07/0.61 % (20710)------------------------------
% 2.07/0.61 % (20712)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)
% 2.23/0.62 % (20688)Instruction limit reached!
% 2.23/0.62 % (20688)------------------------------
% 2.23/0.62 % (20688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.62 % (20688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.62 % (20688)Termination reason: Unknown
% 2.23/0.62 % (20688)Termination phase: Saturation
% 2.23/0.62
% 2.23/0.62 % (20688)Memory used [KB]: 6780
% 2.23/0.62 % (20688)Time elapsed: 0.243 s
% 2.23/0.62 % (20688)Instructions burned: 39 (million)
% 2.23/0.62 % (20688)------------------------------
% 2.23/0.62 % (20688)------------------------------
% 2.23/0.62 % (20684)Refutation not found, incomplete strategy% (20684)------------------------------
% 2.23/0.62 % (20684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.62 % (20684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.62 % (20684)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.62
% 2.23/0.62 % (20684)Memory used [KB]: 6396
% 2.23/0.62 % (20684)Time elapsed: 0.192 s
% 2.23/0.62 % (20684)Instructions burned: 16 (million)
% 2.23/0.62 % (20684)------------------------------
% 2.23/0.62 % (20684)------------------------------
% 2.23/0.62 % (20712)Instruction limit reached!
% 2.23/0.62 % (20712)------------------------------
% 2.23/0.62 % (20712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.62 % (20712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.62 % (20712)Termination reason: Unknown
% 2.23/0.62 % (20712)Termination phase: Saturation
% 2.23/0.62
% 2.23/0.62 % (20712)Memory used [KB]: 10618
% 2.23/0.62 % (20712)Time elapsed: 0.014 s
% 2.23/0.62 % (20712)Instructions burned: 7 (million)
% 2.23/0.62 % (20712)------------------------------
% 2.23/0.62 % (20712)------------------------------
% 2.23/0.63 % (20701)Instruction limit reached!
% 2.23/0.63 % (20701)------------------------------
% 2.23/0.63 % (20701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.63 % (20701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.63 % (20701)Termination reason: Unknown
% 2.23/0.63 % (20701)Termination phase: Saturation
% 2.23/0.63
% 2.23/0.63 % (20701)Memory used [KB]: 6524
% 2.23/0.63 % (20701)Time elapsed: 0.251 s
% 2.23/0.63 % (20701)Instructions burned: 30 (million)
% 2.23/0.63 % (20701)------------------------------
% 2.23/0.63 % (20701)------------------------------
% 2.23/0.63 % (20715)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.23/0.63 % (20703)Instruction limit reached!
% 2.23/0.63 % (20703)------------------------------
% 2.23/0.63 % (20703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.63 % (20703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.63 % (20703)Termination reason: Unknown
% 2.23/0.63 % (20703)Termination phase: Saturation
% 2.23/0.63
% 2.23/0.63 % (20703)Memory used [KB]: 7931
% 2.23/0.63 % (20703)Time elapsed: 0.253 s
% 2.23/0.63 % (20703)Instructions burned: 83 (million)
% 2.23/0.63 % (20703)------------------------------
% 2.23/0.63 % (20703)------------------------------
% 2.23/0.65 % (20689)Instruction limit reached!
% 2.23/0.65 % (20689)------------------------------
% 2.23/0.65 % (20689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (20689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (20689)Termination reason: Unknown
% 2.23/0.65 % (20689)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (20689)Memory used [KB]: 6908
% 2.23/0.65 % (20689)Time elapsed: 0.257 s
% 2.23/0.65 % (20689)Instructions burned: 49 (million)
% 2.23/0.65 % (20689)------------------------------
% 2.23/0.65 % (20689)------------------------------
% 2.53/0.65 % (20690)Instruction limit reached!
% 2.53/0.65 % (20690)------------------------------
% 2.53/0.65 % (20690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.65 % (20690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.65 % (20690)Termination reason: Unknown
% 2.53/0.65 % (20690)Termination phase: Saturation
% 2.53/0.65
% 2.53/0.65 % (20690)Memory used [KB]: 6780
% 2.53/0.65 % (20690)Time elapsed: 0.219 s
% 2.53/0.65 % (20690)Instructions burned: 34 (million)
% 2.53/0.65 % (20690)------------------------------
% 2.53/0.65 % (20690)------------------------------
% 2.53/0.66 % (20707)First to succeed.
% 2.53/0.66 % (20713)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)
% 2.53/0.67 % (20707)Refutation found. Thanks to Tanya!
% 2.53/0.67 % SZS status Theorem for theBenchmark
% 2.53/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/0.67 % (20707)------------------------------
% 2.53/0.67 % (20707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.67 % (20707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.67 % (20707)Termination reason: Refutation
% 2.53/0.67
% 2.53/0.67 % (20707)Memory used [KB]: 7291
% 2.53/0.67 % (20707)Time elapsed: 0.286 s
% 2.53/0.67 % (20707)Instructions burned: 55 (million)
% 2.53/0.67 % (20707)------------------------------
% 2.53/0.67 % (20707)------------------------------
% 2.53/0.67 % (20680)Success in time 0.336 s
%------------------------------------------------------------------------------