TSTP Solution File: SEU387+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU387+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 : n023.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 18:29:36 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 88 ( 29 unt; 0 def)
% Number of atoms : 365 ( 6 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 394 ( 117 ~; 97 |; 156 &)
% ( 14 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 38 ( 36 usr; 12 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 49 ( 34 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f862,plain,
$false,
inference(avatar_sat_refutation,[],[f784,f790,f794,f798,f802,f806,f810,f814,f846,f850,f857,f861]) ).
fof(f861,plain,
~ spl31_59,
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f859,plain,
( $false
| ~ spl31_59 ),
inference(resolution,[],[f780,f325]) ).
fof(f325,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ empty_carrier(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& complete_relstr(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f110]) ).
fof(f110,plain,
! [X0] :
( lower_bounded_relstr(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& complete_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f107]) ).
fof(f107,plain,
! [X0] :
( lower_bounded_relstr(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& complete_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f104]) ).
fof(f104,plain,
! [X0] :
( lower_bounded_relstr(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& complete_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f101]) ).
fof(f101,plain,
! [X0] :
( lower_bounded_relstr(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& complete_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& complemented_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( lower_bounded_relstr(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& boolean_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& heyting_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& complete_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& complemented_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel_7) ).
fof(f780,plain,
( empty_carrier(boole_POSet(sK16))
| ~ spl31_59 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f779,plain,
( spl31_59
<=> empty_carrier(boole_POSet(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_59])]) ).
fof(f857,plain,
~ spl31_53,
inference(avatar_contradiction_clause,[],[f853]) ).
fof(f853,plain,
( $false
| ~ spl31_53 ),
inference(resolution,[],[f762,f378]) ).
fof(f378,plain,
~ empty(sK17),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
( ~ empty(sK16)
& proper_element(sK17,powerset(the_carrier(boole_POSet(sK16))))
& ~ empty(sK17)
& upper_relstr_subset(sK17,boole_POSet(sK16))
& in(sK18,sK17)
& empty(sK18)
& element(sK17,powerset(the_carrier(boole_POSet(sK16))))
& filtered_subset(sK17,boole_POSet(sK16)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f187,f236,f235,f234]) ).
fof(f234,plain,
( ? [X0] :
( ~ empty(X0)
& ? [X1] :
( proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& ~ empty(X1)
& upper_relstr_subset(X1,boole_POSet(X0))
& ? [X2] :
( in(X2,X1)
& empty(X2) )
& element(X1,powerset(the_carrier(boole_POSet(X0))))
& filtered_subset(X1,boole_POSet(X0)) ) )
=> ( ~ empty(sK16)
& ? [X1] :
( proper_element(X1,powerset(the_carrier(boole_POSet(sK16))))
& ~ empty(X1)
& upper_relstr_subset(X1,boole_POSet(sK16))
& ? [X2] :
( in(X2,X1)
& empty(X2) )
& element(X1,powerset(the_carrier(boole_POSet(sK16))))
& filtered_subset(X1,boole_POSet(sK16)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f235,plain,
( ? [X1] :
( proper_element(X1,powerset(the_carrier(boole_POSet(sK16))))
& ~ empty(X1)
& upper_relstr_subset(X1,boole_POSet(sK16))
& ? [X2] :
( in(X2,X1)
& empty(X2) )
& element(X1,powerset(the_carrier(boole_POSet(sK16))))
& filtered_subset(X1,boole_POSet(sK16)) )
=> ( proper_element(sK17,powerset(the_carrier(boole_POSet(sK16))))
& ~ empty(sK17)
& upper_relstr_subset(sK17,boole_POSet(sK16))
& ? [X2] :
( in(X2,sK17)
& empty(X2) )
& element(sK17,powerset(the_carrier(boole_POSet(sK16))))
& filtered_subset(sK17,boole_POSet(sK16)) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
( ? [X2] :
( in(X2,sK17)
& empty(X2) )
=> ( in(sK18,sK17)
& empty(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
? [X0] :
( ~ empty(X0)
& ? [X1] :
( proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& ~ empty(X1)
& upper_relstr_subset(X1,boole_POSet(X0))
& ? [X2] :
( in(X2,X1)
& empty(X2) )
& element(X1,powerset(the_carrier(boole_POSet(X0))))
& filtered_subset(X1,boole_POSet(X0)) ) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( in(X2,X1)
& empty(X2) )
& filtered_subset(X1,boole_POSet(X0))
& upper_relstr_subset(X1,boole_POSet(X0))
& element(X1,powerset(the_carrier(boole_POSet(X0))))
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(X0)))) )
& ~ empty(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,negated_conjecture,
~ ! [X0] :
( ~ empty(X0)
=> ! [X1] :
( ( filtered_subset(X1,boole_POSet(X0))
& upper_relstr_subset(X1,boole_POSet(X0))
& element(X1,powerset(the_carrier(boole_POSet(X0))))
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(X0)))) )
=> ! [X2] :
~ ( in(X2,X1)
& empty(X2) ) ) ),
inference(negated_conjecture,[],[f78]) ).
fof(f78,conjecture,
! [X0] :
( ~ empty(X0)
=> ! [X1] :
( ( filtered_subset(X1,boole_POSet(X0))
& upper_relstr_subset(X1,boole_POSet(X0))
& element(X1,powerset(the_carrier(boole_POSet(X0))))
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(X0)))) )
=> ! [X2] :
~ ( in(X2,X1)
& empty(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow19) ).
fof(f762,plain,
( empty(sK17)
| ~ spl31_53 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f761,plain,
( spl31_53
<=> empty(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_53])]) ).
fof(f850,plain,
spl31_60,
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f848,plain,
( $false
| spl31_60 ),
inference(resolution,[],[f783,f318]) ).
fof(f318,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f114]) ).
fof(f783,plain,
( ~ antisymmetric_relstr(boole_POSet(sK16))
| spl31_60 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f782,plain,
( spl31_60
<=> antisymmetric_relstr(boole_POSet(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_60])]) ).
fof(f846,plain,
spl31_58,
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f838,plain,
( $false
| spl31_58 ),
inference(resolution,[],[f834,f777]) ).
fof(f777,plain,
( ~ in(empty_set,sK17)
| spl31_58 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f776,plain,
( spl31_58
<=> in(empty_set,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_58])]) ).
fof(f834,plain,
in(empty_set,sK17),
inference(backward_demodulation,[],[f376,f828]) ).
fof(f828,plain,
empty_set = sK18,
inference(resolution,[],[f337,f375]) ).
fof(f375,plain,
empty(sK18),
inference(cnf_transformation,[],[f237]) ).
fof(f337,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f376,plain,
in(sK18,sK17),
inference(cnf_transformation,[],[f237]) ).
fof(f814,plain,
spl31_57,
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| spl31_57 ),
inference(unit_resulting_resolution,[],[f323,f774]) ).
fof(f774,plain,
( ~ reflexive_relstr(boole_POSet(sK16))
| spl31_57 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f773,plain,
( spl31_57
<=> reflexive_relstr(boole_POSet(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_57])]) ).
fof(f323,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f114]) ).
fof(f810,plain,
spl31_56,
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f807,plain,
( $false
| spl31_56 ),
inference(unit_resulting_resolution,[],[f314,f771]) ).
fof(f771,plain,
( ~ lower_bounded_relstr(boole_POSet(sK16))
| spl31_56 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f770,plain,
( spl31_56
<=> lower_bounded_relstr(boole_POSet(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_56])]) ).
fof(f314,plain,
! [X0] : lower_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f114]) ).
fof(f806,plain,
spl31_55,
inference(avatar_contradiction_clause,[],[f803]) ).
fof(f803,plain,
( $false
| spl31_55 ),
inference(unit_resulting_resolution,[],[f311,f768]) ).
fof(f768,plain,
( ~ rel_str(boole_POSet(sK16))
| spl31_55 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f767,plain,
( spl31_55
<=> rel_str(boole_POSet(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_55])]) ).
fof(f311,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( strict_rel_str(boole_POSet(X0))
& rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f802,plain,
spl31_54,
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f799,plain,
( $false
| spl31_54 ),
inference(unit_resulting_resolution,[],[f317,f765]) ).
fof(f765,plain,
( ~ transitive_relstr(boole_POSet(sK16))
| spl31_54 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f764,plain,
( spl31_54
<=> transitive_relstr(boole_POSet(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_54])]) ).
fof(f317,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f114]) ).
fof(f798,plain,
spl31_52,
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f795,plain,
( $false
| spl31_52 ),
inference(unit_resulting_resolution,[],[f373,f759]) ).
fof(f759,plain,
( ~ filtered_subset(sK17,boole_POSet(sK16))
| spl31_52 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f758,plain,
( spl31_52
<=> filtered_subset(sK17,boole_POSet(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_52])]) ).
fof(f373,plain,
filtered_subset(sK17,boole_POSet(sK16)),
inference(cnf_transformation,[],[f237]) ).
fof(f794,plain,
spl31_51,
inference(avatar_contradiction_clause,[],[f791]) ).
fof(f791,plain,
( $false
| spl31_51 ),
inference(unit_resulting_resolution,[],[f377,f756]) ).
fof(f756,plain,
( ~ upper_relstr_subset(sK17,boole_POSet(sK16))
| spl31_51 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f755,plain,
( spl31_51
<=> upper_relstr_subset(sK17,boole_POSet(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_51])]) ).
fof(f377,plain,
upper_relstr_subset(sK17,boole_POSet(sK16)),
inference(cnf_transformation,[],[f237]) ).
fof(f790,plain,
spl31_50,
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f787,plain,
( $false
| spl31_50 ),
inference(unit_resulting_resolution,[],[f374,f753]) ).
fof(f753,plain,
( ~ element(sK17,powerset(the_carrier(boole_POSet(sK16))))
| spl31_50 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f752,plain,
( spl31_50
<=> element(sK17,powerset(the_carrier(boole_POSet(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_50])]) ).
fof(f374,plain,
element(sK17,powerset(the_carrier(boole_POSet(sK16)))),
inference(cnf_transformation,[],[f237]) ).
fof(f784,plain,
( ~ spl31_50
| ~ spl31_51
| ~ spl31_52
| spl31_53
| ~ spl31_54
| ~ spl31_55
| ~ spl31_56
| ~ spl31_57
| ~ spl31_58
| spl31_59
| ~ spl31_60 ),
inference(avatar_split_clause,[],[f750,f782,f779,f776,f773,f770,f767,f764,f761,f758,f755,f752]) ).
fof(f750,plain,
( ~ antisymmetric_relstr(boole_POSet(sK16))
| empty_carrier(boole_POSet(sK16))
| ~ in(empty_set,sK17)
| ~ reflexive_relstr(boole_POSet(sK16))
| ~ lower_bounded_relstr(boole_POSet(sK16))
| ~ rel_str(boole_POSet(sK16))
| ~ transitive_relstr(boole_POSet(sK16))
| empty(sK17)
| ~ filtered_subset(sK17,boole_POSet(sK16))
| ~ upper_relstr_subset(sK17,boole_POSet(sK16))
| ~ element(sK17,powerset(the_carrier(boole_POSet(sK16)))) ),
inference(forward_demodulation,[],[f747,f327]) ).
fof(f327,plain,
! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_yellow_1) ).
fof(f747,plain,
( empty(sK17)
| ~ filtered_subset(sK17,boole_POSet(sK16))
| ~ reflexive_relstr(boole_POSet(sK16))
| ~ upper_relstr_subset(sK17,boole_POSet(sK16))
| empty_carrier(boole_POSet(sK16))
| ~ rel_str(boole_POSet(sK16))
| ~ transitive_relstr(boole_POSet(sK16))
| ~ in(bottom_of_relstr(boole_POSet(sK16)),sK17)
| ~ lower_bounded_relstr(boole_POSet(sK16))
| ~ antisymmetric_relstr(boole_POSet(sK16))
| ~ element(sK17,powerset(the_carrier(boole_POSet(sK16)))) ),
inference(resolution,[],[f369,f379]) ).
fof(f379,plain,
proper_element(sK17,powerset(the_carrier(boole_POSet(sK16)))),
inference(cnf_transformation,[],[f237]) ).
fof(f369,plain,
! [X0,X1] :
( ~ proper_element(X1,powerset(the_carrier(X0)))
| ~ lower_bounded_relstr(X0)
| empty(X1)
| ~ upper_relstr_subset(X1,X0)
| ~ filtered_subset(X1,X0)
| ~ in(bottom_of_relstr(X0),X1)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ! [X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| empty(X1)
| ( ( proper_element(X1,powerset(the_carrier(X0)))
| in(bottom_of_relstr(X0),X1) )
& ( ~ in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) ) )
| ~ upper_relstr_subset(X1,X0)
| ~ filtered_subset(X1,X0) ) ),
inference(nnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ! [X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| empty(X1)
| ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) )
| ~ upper_relstr_subset(X1,X0)
| ~ filtered_subset(X1,X0) ) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) )
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X1)
| ~ filtered_subset(X1,X0)
| ~ upper_relstr_subset(X1,X0) )
| empty_carrier(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ! [X1] :
( ( element(X1,powerset(the_carrier(X0)))
& ~ empty(X1)
& filtered_subset(X1,X0)
& upper_relstr_subset(X1,X0) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_waybel_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU387+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
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 15:44:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (8189)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)
% 0.19/0.51 % (8189)Instruction limit reached!
% 0.19/0.51 % (8189)------------------------------
% 0.19/0.51 % (8189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8179)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)
% 0.19/0.51 % (8180)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)
% 0.19/0.51 % (8197)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)
% 0.19/0.51 % (8183)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)
% 0.19/0.51 % (8180)Refutation not found, incomplete strategy% (8180)------------------------------
% 0.19/0.51 % (8180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8172)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)
% 0.19/0.52 % (8184)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)
% 0.19/0.52 % (8173)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)
% 0.19/0.52 % (8172)Instruction limit reached!
% 0.19/0.52 % (8172)------------------------------
% 0.19/0.52 % (8172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8172)Termination reason: Unknown
% 0.19/0.52 % (8172)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (8172)Memory used [KB]: 1535
% 0.19/0.52 % (8172)Time elapsed: 0.003 s
% 0.19/0.52 % (8172)Instructions burned: 3 (million)
% 0.19/0.52 % (8172)------------------------------
% 0.19/0.52 % (8172)------------------------------
% 0.19/0.52 % (8199)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)
% 0.19/0.52 % (8191)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)
% 0.19/0.52 % (8174)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)
% 0.19/0.53 % (8192)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)
% 0.19/0.53 % (8180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8180)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (8180)Memory used [KB]: 6268
% 0.19/0.53 % (8180)Time elapsed: 0.111 s
% 0.19/0.53 % (8180)Instructions burned: 9 (million)
% 0.19/0.53 % (8180)------------------------------
% 0.19/0.53 % (8180)------------------------------
% 0.19/0.53 % (8170)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (8176)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)
% 0.19/0.53 % (8184)Instruction limit reached!
% 0.19/0.53 % (8184)------------------------------
% 0.19/0.53 % (8184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8184)Termination reason: Unknown
% 0.19/0.53 % (8184)Termination phase: Naming
% 0.19/0.53
% 0.19/0.53 % (8184)Memory used [KB]: 1535
% 0.19/0.53 % (8184)Time elapsed: 0.003 s
% 0.19/0.53 % (8184)Instructions burned: 3 (million)
% 0.19/0.53 % (8184)------------------------------
% 0.19/0.53 % (8184)------------------------------
% 0.19/0.53 % (8189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8189)Termination reason: Unknown
% 0.19/0.53 % (8189)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (8181)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)
% 0.19/0.53 % (8189)Memory used [KB]: 6396
% 0.19/0.53 % (8189)Time elapsed: 0.106 s
% 0.19/0.53 % (8189)Instructions burned: 12 (million)
% 0.19/0.53 % (8189)------------------------------
% 0.19/0.53 % (8189)------------------------------
% 0.19/0.53 % (8175)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)
% 0.19/0.53 % (8171)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)
% 0.19/0.53 % (8198)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)
% 0.19/0.53 % (8197)First to succeed.
% 0.19/0.53 % (8181)Instruction limit reached!
% 0.19/0.53 % (8181)------------------------------
% 0.19/0.53 % (8181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8181)Termination reason: Unknown
% 0.19/0.53 % (8181)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (8181)Memory used [KB]: 6140
% 0.19/0.53 % (8181)Time elapsed: 0.006 s
% 0.19/0.53 % (8181)Instructions burned: 7 (million)
% 0.19/0.53 % (8181)------------------------------
% 0.19/0.53 % (8181)------------------------------
% 0.19/0.54 % (8182)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)
% 0.19/0.54 % (8178)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)
% 0.19/0.54 % (8198)Instruction limit reached!
% 0.19/0.54 % (8198)------------------------------
% 0.19/0.54 % (8198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8198)Termination reason: Unknown
% 0.19/0.54 % (8198)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (8198)Memory used [KB]: 6268
% 0.19/0.54 % (8198)Time elapsed: 0.135 s
% 0.19/0.54 % (8198)Instructions burned: 9 (million)
% 0.19/0.54 % (8198)------------------------------
% 0.19/0.54 % (8198)------------------------------
% 0.19/0.54 % (8185)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)
% 0.19/0.54 % (8179)Also succeeded, but the first one will report.
% 0.19/0.54 % (8197)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (8197)------------------------------
% 0.19/0.54 % (8197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8197)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (8197)Memory used [KB]: 6524
% 0.19/0.54 % (8197)Time elapsed: 0.133 s
% 0.19/0.54 % (8197)Instructions burned: 15 (million)
% 0.19/0.54 % (8197)------------------------------
% 0.19/0.54 % (8197)------------------------------
% 0.19/0.54 % (8169)Success in time 0.185 s
%------------------------------------------------------------------------------