TSTP Solution File: SEU348+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU348+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 1.61s 0.74s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of formulae : 76 ( 7 unt; 0 def)
% Number of atoms : 345 ( 12 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 434 ( 165 ~; 177 |; 63 &)
% ( 9 <=>; 18 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 70 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f188,plain,
$false,
inference(avatar_sat_refutation,[],[f125,f126,f167,f186]) ).
fof(f186,plain,
( ~ spl7_1
| spl7_2 ),
inference(avatar_contradiction_clause,[],[f185]) ).
fof(f185,plain,
( $false
| ~ spl7_1
| spl7_2 ),
inference(subsumption_resolution,[],[f184,f104]) ).
fof(f104,plain,
latt_str(sK3),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( ~ latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,sK4),sK2)
| ~ relstr_element_smaller(poset_of_lattice(sK3),sK2,sK4) )
& ( latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,sK4),sK2)
| relstr_element_smaller(poset_of_lattice(sK3),sK2,sK4) )
& element(sK4,the_carrier(poset_of_lattice(sK3)))
& lattice(sK3)
& latt_str(sK3)
& ~ empty_carrier(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f90,f92,f91]) ).
fof(f91,plain,
( ? [X0,X1] :
( ? [X2] :
( ( ~ latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| ~ relstr_element_smaller(poset_of_lattice(X1),X0,X2) )
& ( latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| relstr_element_smaller(poset_of_lattice(X1),X0,X2) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& lattice(X1)
& latt_str(X1)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ( ~ latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,X2),sK2)
| ~ relstr_element_smaller(poset_of_lattice(sK3),sK2,X2) )
& ( latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,X2),sK2)
| relstr_element_smaller(poset_of_lattice(sK3),sK2,X2) )
& element(X2,the_carrier(poset_of_lattice(sK3))) )
& lattice(sK3)
& latt_str(sK3)
& ~ empty_carrier(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ? [X2] :
( ( ~ latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,X2),sK2)
| ~ relstr_element_smaller(poset_of_lattice(sK3),sK2,X2) )
& ( latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,X2),sK2)
| relstr_element_smaller(poset_of_lattice(sK3),sK2,X2) )
& element(X2,the_carrier(poset_of_lattice(sK3))) )
=> ( ( ~ latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,sK4),sK2)
| ~ relstr_element_smaller(poset_of_lattice(sK3),sK2,sK4) )
& ( latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,sK4),sK2)
| relstr_element_smaller(poset_of_lattice(sK3),sK2,sK4) )
& element(sK4,the_carrier(poset_of_lattice(sK3))) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| ~ relstr_element_smaller(poset_of_lattice(X1),X0,X2) )
& ( latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| relstr_element_smaller(poset_of_lattice(X1),X0,X2) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& lattice(X1)
& latt_str(X1)
& ~ empty_carrier(X1) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
? [X1,X0] :
( ? [X2] :
( ( ~ latt_set_smaller(X0,cast_to_el_of_lattice(X0,X2),X1)
| ~ relstr_element_smaller(poset_of_lattice(X0),X1,X2) )
& ( latt_set_smaller(X0,cast_to_el_of_lattice(X0,X2),X1)
| relstr_element_smaller(poset_of_lattice(X0),X1,X2) )
& element(X2,the_carrier(poset_of_lattice(X0))) )
& lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
? [X1,X0] :
( ? [X2] :
( ( ~ latt_set_smaller(X0,cast_to_el_of_lattice(X0,X2),X1)
| ~ relstr_element_smaller(poset_of_lattice(X0),X1,X2) )
& ( latt_set_smaller(X0,cast_to_el_of_lattice(X0,X2),X1)
| relstr_element_smaller(poset_of_lattice(X0),X1,X2) )
& element(X2,the_carrier(poset_of_lattice(X0))) )
& lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
? [X1,X0] :
( ? [X2] :
( ( relstr_element_smaller(poset_of_lattice(X0),X1,X2)
<~> latt_set_smaller(X0,cast_to_el_of_lattice(X0,X2),X1) )
& element(X2,the_carrier(poset_of_lattice(X0))) )
& lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
? [X0,X1] :
( ? [X2] :
( ( relstr_element_smaller(poset_of_lattice(X0),X1,X2)
<~> latt_set_smaller(X0,cast_to_el_of_lattice(X0,X2),X1) )
& element(X2,the_carrier(poset_of_lattice(X0))) )
& lattice(X0)
& ~ empty_carrier(X0)
& latt_str(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
~ ! [X0,X1] :
( ( lattice(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X0)))
=> ( latt_set_smaller(X0,cast_to_el_of_lattice(X0,X2),X1)
<=> relstr_element_smaller(poset_of_lattice(X0),X1,X2) ) ) ),
inference(rectify,[],[f59]) ).
fof(f59,negated_conjecture,
~ ! [X1,X0] :
( ( lattice(X1)
& latt_str(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(negated_conjecture,[],[f58]) ).
fof(f58,conjecture,
! [X1,X0] :
( ( lattice(X1)
& latt_str(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_lattice3) ).
fof(f184,plain,
( ~ latt_str(sK3)
| ~ spl7_1
| spl7_2 ),
inference(subsumption_resolution,[],[f183,f105]) ).
fof(f105,plain,
lattice(sK3),
inference(cnf_transformation,[],[f93]) ).
fof(f183,plain,
( ~ lattice(sK3)
| ~ latt_str(sK3)
| ~ spl7_1
| spl7_2 ),
inference(subsumption_resolution,[],[f182,f103]) ).
fof(f103,plain,
~ empty_carrier(sK3),
inference(cnf_transformation,[],[f93]) ).
fof(f182,plain,
( empty_carrier(sK3)
| ~ latt_str(sK3)
| ~ lattice(sK3)
| ~ spl7_1
| spl7_2 ),
inference(subsumption_resolution,[],[f181,f138]) ).
fof(f138,plain,
element(sK4,the_carrier(sK3)),
inference(subsumption_resolution,[],[f137,f106]) ).
fof(f106,plain,
element(sK4,the_carrier(poset_of_lattice(sK3))),
inference(cnf_transformation,[],[f93]) ).
fof(f137,plain,
( ~ element(sK4,the_carrier(poset_of_lattice(sK3)))
| element(sK4,the_carrier(sK3)) ),
inference(subsumption_resolution,[],[f136,f105]) ).
fof(f136,plain,
( ~ lattice(sK3)
| ~ element(sK4,the_carrier(poset_of_lattice(sK3)))
| element(sK4,the_carrier(sK3)) ),
inference(subsumption_resolution,[],[f135,f103]) ).
fof(f135,plain,
( empty_carrier(sK3)
| ~ lattice(sK3)
| ~ element(sK4,the_carrier(poset_of_lattice(sK3)))
| element(sK4,the_carrier(sK3)) ),
inference(subsumption_resolution,[],[f134,f104]) ).
fof(f134,plain,
( ~ latt_str(sK3)
| empty_carrier(sK3)
| element(sK4,the_carrier(sK3))
| ~ lattice(sK3)
| ~ element(sK4,the_carrier(poset_of_lattice(sK3))) ),
inference(superposition,[],[f101,f131]) ).
fof(f131,plain,
sK4 = cast_to_el_of_lattice(sK3,sK4),
inference(subsumption_resolution,[],[f130,f103]) ).
fof(f130,plain,
( sK4 = cast_to_el_of_lattice(sK3,sK4)
| empty_carrier(sK3) ),
inference(subsumption_resolution,[],[f129,f105]) ).
fof(f129,plain,
( ~ lattice(sK3)
| empty_carrier(sK3)
| sK4 = cast_to_el_of_lattice(sK3,sK4) ),
inference(subsumption_resolution,[],[f127,f104]) ).
fof(f127,plain,
( ~ latt_str(sK3)
| sK4 = cast_to_el_of_lattice(sK3,sK4)
| ~ lattice(sK3)
| empty_carrier(sK3) ),
inference(resolution,[],[f112,f106]) ).
fof(f112,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| cast_to_el_of_lattice(X0,X1) = X1
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) ) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| ~ 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(poset_of_lattice(X0)))
=> cast_to_el_of_lattice(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_lattice3) ).
fof(f101,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ lattice(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ 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)
| ~ lattice(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ~ element(X0,the_carrier(poset_of_lattice(X1)))
| element(cast_to_el_of_lattice(X1,X0),the_carrier(X1))
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( element(cast_to_el_of_lattice(X1,X0),the_carrier(X1))
| ~ lattice(X1)
| ~ element(X0,the_carrier(poset_of_lattice(X1)))
| ~ latt_str(X1)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ( lattice(X1)
& element(X0,the_carrier(poset_of_lattice(X1)))
& latt_str(X1)
& ~ empty_carrier(X1) )
=> element(cast_to_el_of_lattice(X1,X0),the_carrier(X1)) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( ( element(X1,the_carrier(poset_of_lattice(X0)))
& lattice(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattice3) ).
fof(f181,plain,
( ~ element(sK4,the_carrier(sK3))
| ~ latt_str(sK3)
| ~ lattice(sK3)
| empty_carrier(sK3)
| ~ spl7_1
| spl7_2 ),
inference(subsumption_resolution,[],[f178,f168]) ).
fof(f168,plain,
( latt_set_smaller(sK3,sK4,sK2)
| ~ spl7_1 ),
inference(forward_demodulation,[],[f119,f131]) ).
fof(f119,plain,
( latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,sK4),sK2)
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl7_1
<=> latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f178,plain,
( ~ latt_set_smaller(sK3,sK4,sK2)
| ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK3)
| ~ latt_str(sK3)
| ~ lattice(sK3)
| spl7_2 ),
inference(resolution,[],[f173,f124]) ).
fof(f124,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK3),sK2,sK4)
| spl7_2 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl7_2
<=> relstr_element_smaller(poset_of_lattice(sK3),sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f173,plain,
! [X2,X0,X1] :
( relstr_element_smaller(poset_of_lattice(X0),X2,X1)
| ~ latt_set_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(duplicate_literal_removal,[],[f171]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ latt_set_smaller(X0,X1,X2)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| empty_carrier(X0)
| relstr_element_smaller(poset_of_lattice(X0),X2,X1)
| ~ element(X1,the_carrier(X0)) ),
inference(superposition,[],[f116,f114]) ).
fof(f114,plain,
! [X0,X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( empty_carrier(X0)
| ~ lattice(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 )
| ~ latt_str(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(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(f116,plain,
! [X2,X0,X1] :
( relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| ~ element(X2,the_carrier(X0))
| ~ latt_str(X0)
| ~ latt_set_smaller(X0,X2,X1)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ! [X2] :
( ( ( relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| ~ latt_set_smaller(X0,X2,X1) )
& ( latt_set_smaller(X0,X2,X1)
| ~ relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) ) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ! [X2] :
( ( relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
<=> latt_set_smaller(X0,X2,X1) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ! [X2] :
( ( relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
<=> latt_set_smaller(X0,X2,X1) )
| ~ element(X2,the_carrier(X0)) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ( lattice(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
<=> latt_set_smaller(X0,X2,X1) ) ) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X1,X0] :
( ( ~ empty_carrier(X1)
& latt_str(X1)
& lattice(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(f167,plain,
( spl7_1
| ~ spl7_2 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f166,plain,
( $false
| spl7_1
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f165,f138]) ).
fof(f165,plain,
( ~ element(sK4,the_carrier(sK3))
| spl7_1
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f164,f105]) ).
fof(f164,plain,
( ~ lattice(sK3)
| ~ element(sK4,the_carrier(sK3))
| spl7_1
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f163,f104]) ).
fof(f163,plain,
( ~ latt_str(sK3)
| ~ element(sK4,the_carrier(sK3))
| ~ lattice(sK3)
| spl7_1
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f162,f132]) ).
fof(f132,plain,
( ~ latt_set_smaller(sK3,sK4,sK2)
| spl7_1 ),
inference(backward_demodulation,[],[f120,f131]) ).
fof(f120,plain,
( ~ latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,sK4),sK2)
| spl7_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f162,plain,
( latt_set_smaller(sK3,sK4,sK2)
| ~ element(sK4,the_carrier(sK3))
| ~ lattice(sK3)
| ~ latt_str(sK3)
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f161,f103]) ).
fof(f161,plain,
( empty_carrier(sK3)
| ~ latt_str(sK3)
| ~ lattice(sK3)
| latt_set_smaller(sK3,sK4,sK2)
| ~ element(sK4,the_carrier(sK3))
| ~ spl7_2 ),
inference(resolution,[],[f160,f123]) ).
fof(f123,plain,
( relstr_element_smaller(poset_of_lattice(sK3),sK2,sK4)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(X0),X2,X1)
| ~ latt_str(X0)
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0) ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(X0),X2,X1)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X1,the_carrier(X0)) ),
inference(superposition,[],[f115,f114]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| empty_carrier(X0)
| latt_set_smaller(X0,X2,X1)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f126,plain,
( spl7_2
| spl7_1 ),
inference(avatar_split_clause,[],[f107,f118,f122]) ).
fof(f107,plain,
( latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,sK4),sK2)
| relstr_element_smaller(poset_of_lattice(sK3),sK2,sK4) ),
inference(cnf_transformation,[],[f93]) ).
fof(f125,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f108,f122,f118]) ).
fof(f108,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK3),sK2,sK4)
| ~ latt_set_smaller(sK3,cast_to_el_of_lattice(sK3,sK4),sK2) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU348+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % 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 15:31:31 EDT 2022
% 0.14/0.34 % CPUTime :
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% 1.61/0.72 % (19782)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 (2998ds/39Mi)
% 1.61/0.73 % (19782)First to succeed.
% 1.61/0.73 % (19798)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 (2998ds/82Mi)
% 1.61/0.74 % (19790)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 (2998ds/3Mi)
% 1.61/0.74 % (19801)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 (2998ds/95Mi)
% 1.61/0.74 % (19793)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.61/0.74 % (19782)Refutation found. Thanks to Tanya!
% 1.61/0.74 % SZS status Theorem for theBenchmark
% 1.61/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.74 % (19782)------------------------------
% 1.61/0.74 % (19782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.74 % (19782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.74 % (19782)Termination reason: Refutation
% 1.61/0.74
% 1.61/0.74 % (19782)Memory used [KB]: 6012
% 1.61/0.74 % (19782)Time elapsed: 0.131 s
% 1.61/0.74 % (19782)Instructions burned: 5 (million)
% 1.61/0.74 % (19782)------------------------------
% 1.61/0.74 % (19782)------------------------------
% 1.61/0.74 % (19607)Success in time 0.387 s
%------------------------------------------------------------------------------