TSTP Solution File: SET117+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET117+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Sun May 5 09:11:19 EDT 2024
% Result : Theorem 0.10s 0.34s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 44
% Syntax : Number of formulae : 123 ( 47 unt; 0 def)
% Number of atoms : 296 ( 48 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 242 ( 69 ~; 72 |; 59 &)
% ( 27 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 22 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-2 aty)
% Number of variables : 117 ( 98 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f362,plain,
$false,
inference(avatar_sat_refutation,[],[f272,f277,f282,f286,f290,f295,f299,f304,f309,f314,f318,f322,f326,f332,f336,f340,f344,f348,f352,f356,f360,f361]) ).
fof(f361,plain,
( spl7_1
| ~ spl7_8
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f328,f320,f301,f269]) ).
fof(f269,plain,
( spl7_1
<=> member(sK0,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f301,plain,
( spl7_8
<=> sK0 = unordered_pair(unordered_pair(first(sK0),first(sK0)),unordered_pair(first(sK0),unordered_pair(second(sK0),second(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f320,plain,
( spl7_12
<=> ! [X0,X1] : member(unordered_pair(X0,X1),universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).
fof(f328,plain,
( member(sK0,universal_class)
| ~ spl7_8
| ~ spl7_12 ),
inference(superposition,[],[f321,f303]) ).
fof(f303,plain,
( sK0 = unordered_pair(unordered_pair(first(sK0),first(sK0)),unordered_pair(first(sK0),unordered_pair(second(sK0),second(sK0))))
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f321,plain,
( ! [X0,X1] : member(unordered_pair(X0,X1),universal_class)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f360,plain,
spl7_21,
inference(avatar_split_clause,[],[f162,f358]) ).
fof(f358,plain,
( spl7_21
<=> ! [X0,X1] : subclass(compose(X1,X0),cross_product(universal_class,universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).
fof(f162,plain,
! [X0,X1] : subclass(compose(X1,X0),cross_product(universal_class,universal_class)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] : subclass(compose(X1,X0),cross_product(universal_class,universal_class)),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X5,X7] : subclass(compose(X7,X5),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_defn1) ).
fof(f356,plain,
spl7_20,
inference(avatar_split_clause,[],[f158,f354]) ).
fof(f354,plain,
( spl7_20
<=> ! [X0] :
( member(sK2(X0),universal_class)
| ~ member(X0,identity_relation) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_20])]) ).
fof(f158,plain,
! [X0] :
( member(sK2(X0),universal_class)
| ~ member(X0,identity_relation) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( member(X0,identity_relation)
| ! [X1] :
( ordered_pair(X1,X1) != X0
| ~ member(X1,universal_class) ) )
& ( ( ordered_pair(sK2(X0),sK2(X0)) = X0
& member(sK2(X0),universal_class) )
| ~ member(X0,identity_relation) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f94,f95]) ).
fof(f95,plain,
! [X0] :
( ? [X2] :
( ordered_pair(X2,X2) = X0
& member(X2,universal_class) )
=> ( ordered_pair(sK2(X0),sK2(X0)) = X0
& member(sK2(X0),universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ( member(X0,identity_relation)
| ! [X1] :
( ordered_pair(X1,X1) != X0
| ~ member(X1,universal_class) ) )
& ( ? [X2] :
( ordered_pair(X2,X2) = X0
& member(X2,universal_class) )
| ~ member(X0,identity_relation) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( member(X0,identity_relation)
| ! [X1] :
( ordered_pair(X1,X1) != X0
| ~ member(X1,universal_class) ) )
& ( ? [X1] :
( ordered_pair(X1,X1) = X0
& member(X1,universal_class) )
| ~ member(X0,identity_relation) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( member(X0,identity_relation)
<=> ? [X1] :
( ordered_pair(X1,X1) = X0
& member(X1,universal_class) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4] :
( member(X4,identity_relation)
<=> ? [X0] :
( ordered_pair(X0,X0) = X4
& member(X0,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_relation) ).
fof(f352,plain,
spl7_19,
inference(avatar_split_clause,[],[f155,f350]) ).
fof(f350,plain,
( spl7_19
<=> ! [X0] :
( subclass(X0,cross_product(universal_class,universal_class))
| ~ function(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).
fof(f155,plain,
! [X0] :
( subclass(X0,cross_product(universal_class,universal_class))
| ~ function(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ( function(X0)
| ~ subclass(compose(X0,inverse(X0)),identity_relation)
| ~ subclass(X0,cross_product(universal_class,universal_class)) )
& ( ( subclass(compose(X0,inverse(X0)),identity_relation)
& subclass(X0,cross_product(universal_class,universal_class)) )
| ~ function(X0) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( function(X0)
| ~ subclass(compose(X0,inverse(X0)),identity_relation)
| ~ subclass(X0,cross_product(universal_class,universal_class)) )
& ( ( subclass(compose(X0,inverse(X0)),identity_relation)
& subclass(X0,cross_product(universal_class,universal_class)) )
| ~ function(X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( function(X0)
<=> ( subclass(compose(X0,inverse(X0)),identity_relation)
& subclass(X0,cross_product(universal_class,universal_class)) ) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X8] :
( function(X8)
<=> ( subclass(compose(X8,inverse(X8)),identity_relation)
& subclass(X8,cross_product(universal_class,universal_class)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',function_defn) ).
fof(f348,plain,
spl7_18,
inference(avatar_split_clause,[],[f151,f346]) ).
fof(f346,plain,
( spl7_18
<=> ! [X0] :
( member(sum_class(X0),universal_class)
| ~ member(X0,universal_class) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).
fof(f151,plain,
! [X0] :
( member(sum_class(X0),universal_class)
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( member(sum_class(X0),universal_class)
| ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( member(X0,universal_class)
=> member(sum_class(X0),universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_class) ).
fof(f344,plain,
spl7_17,
inference(avatar_split_clause,[],[f150,f342]) ).
fof(f342,plain,
( spl7_17
<=> ! [X0] :
( member(power_class(X0),universal_class)
| ~ member(X0,universal_class) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).
fof(f150,plain,
! [X0] :
( member(power_class(X0),universal_class)
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( member(power_class(X0),universal_class)
| ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( member(X0,universal_class)
=> member(power_class(X0),universal_class) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X2] :
( member(X2,universal_class)
=> member(power_class(X2),universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_class) ).
fof(f340,plain,
spl7_16,
inference(avatar_split_clause,[],[f149,f338]) ).
fof(f338,plain,
( spl7_16
<=> ! [X0] :
( disjoint(sK1(X0),X0)
| null_class = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).
fof(f149,plain,
! [X0] :
( disjoint(sK1(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( disjoint(sK1(X0),X0)
& member(sK1(X0),X0)
& member(sK1(X0),universal_class) )
| null_class = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f72,f87]) ).
fof(f87,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
=> ( disjoint(sK1(X0),X0)
& member(sK1(X0),X0)
& member(sK1(X0),universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
| null_class = X0 ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( null_class != X0
=> ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( null_class != X0
=> ? [X2] :
( disjoint(X2,X0)
& member(X2,X0)
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity) ).
fof(f336,plain,
spl7_15,
inference(avatar_split_clause,[],[f148,f334]) ).
fof(f334,plain,
( spl7_15
<=> ! [X0] :
( member(sK1(X0),X0)
| null_class = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
fof(f148,plain,
! [X0] :
( member(sK1(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f88]) ).
fof(f332,plain,
spl7_14,
inference(avatar_split_clause,[],[f147,f330]) ).
fof(f330,plain,
( spl7_14
<=> ! [X0] :
( member(sK1(X0),universal_class)
| null_class = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
fof(f147,plain,
! [X0] :
( member(sK1(X0),universal_class)
| null_class = X0 ),
inference(cnf_transformation,[],[f88]) ).
fof(f326,plain,
spl7_13,
inference(avatar_split_clause,[],[f223,f324]) ).
fof(f324,plain,
( spl7_13
<=> ! [X1] :
( subclass(sK6,X1)
| ~ inductive(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).
fof(f223,plain,
! [X1] :
( subclass(sK6,X1)
| ~ inductive(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ! [X1] :
( subclass(sK6,X1)
| ~ inductive(X1) )
& inductive(sK6)
& member(sK6,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f84,f133]) ).
fof(f133,plain,
( ? [X0] :
( ! [X1] :
( subclass(X0,X1)
| ~ inductive(X1) )
& inductive(X0)
& member(X0,universal_class) )
=> ( ! [X1] :
( subclass(sK6,X1)
| ~ inductive(X1) )
& inductive(sK6)
& member(sK6,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0] :
( ! [X1] :
( subclass(X0,X1)
| ~ inductive(X1) )
& inductive(X0)
& member(X0,universal_class) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
? [X0] :
( ! [X1] :
( inductive(X1)
=> subclass(X0,X1) )
& inductive(X0)
& member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infinity) ).
fof(f322,plain,
spl7_12,
inference(avatar_split_clause,[],[f161,f320]) ).
fof(f161,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair) ).
fof(f318,plain,
spl7_11,
inference(avatar_split_clause,[],[f152,f316]) ).
fof(f316,plain,
( spl7_11
<=> ! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f152,plain,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( inductive(X0)
| ~ subclass(image(successor_relation,X0),X0)
| ~ member(null_class,X0) )
& ( ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) )
| ~ inductive(X0) ) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( inductive(X0)
| ~ subclass(image(successor_relation,X0),X0)
| ~ member(null_class,X0) )
& ( ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) )
| ~ inductive(X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( inductive(X0)
<=> ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive_defn) ).
fof(f314,plain,
spl7_10,
inference(avatar_split_clause,[],[f138,f311]) ).
fof(f311,plain,
( spl7_10
<=> subclass(successor_relation,cross_product(universal_class,universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f138,plain,
subclass(successor_relation,cross_product(universal_class,universal_class)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
subclass(successor_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_relation_defn1) ).
fof(f309,plain,
spl7_9,
inference(avatar_split_clause,[],[f137,f306]) ).
fof(f306,plain,
( spl7_9
<=> subclass(element_relation,cross_product(universal_class,universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f137,plain,
subclass(element_relation,cross_product(universal_class,universal_class)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
subclass(element_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation) ).
fof(f304,plain,
spl7_8,
inference(avatar_split_clause,[],[f229,f301]) ).
fof(f229,plain,
sK0 = unordered_pair(unordered_pair(first(sK0),first(sK0)),unordered_pair(first(sK0),unordered_pair(second(sK0),second(sK0)))),
inference(definition_unfolding,[],[f135,f227]) ).
fof(f227,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f165,f142,f142]) ).
fof(f142,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f165,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_defn) ).
fof(f135,plain,
sK0 = ordered_pair(first(sK0),second(sK0)),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ~ member(sK0,universal_class)
& sK0 = ordered_pair(first(sK0),second(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f71,f85]) ).
fof(f85,plain,
( ? [X0] :
( ~ member(X0,universal_class)
& ordered_pair(first(X0),second(X0)) = X0 )
=> ( ~ member(sK0,universal_class)
& sK0 = ordered_pair(first(sK0),second(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
? [X0] :
( ~ member(X0,universal_class)
& ordered_pair(first(X0),second(X0)) = X0 ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
=> member(X0,universal_class) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
=> member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_ordered_pairs_are_sets) ).
fof(f299,plain,
spl7_7,
inference(avatar_split_clause,[],[f263,f297]) ).
fof(f297,plain,
( spl7_7
<=> ! [X1] : subclass(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f263,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( subclass(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X1,X0)
& subclass(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).
fof(f295,plain,
spl7_6,
inference(avatar_split_clause,[],[f221,f292]) ).
fof(f292,plain,
( spl7_6
<=> member(sK6,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f221,plain,
member(sK6,universal_class),
inference(cnf_transformation,[],[f134]) ).
fof(f290,plain,
spl7_5,
inference(avatar_split_clause,[],[f140,f288]) ).
fof(f288,plain,
( spl7_5
<=> ! [X0] : subclass(X0,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f140,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f286,plain,
spl7_4,
inference(avatar_split_clause,[],[f139,f284]) ).
fof(f284,plain,
( spl7_4
<=> ! [X0] : ~ member(X0,null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f139,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_defn) ).
fof(f282,plain,
spl7_3,
inference(avatar_split_clause,[],[f222,f279]) ).
fof(f279,plain,
( spl7_3
<=> inductive(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f222,plain,
inductive(sK6),
inference(cnf_transformation,[],[f134]) ).
fof(f277,plain,
spl7_2,
inference(avatar_split_clause,[],[f219,f274]) ).
fof(f274,plain,
( spl7_2
<=> function(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f219,plain,
function(sK5),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ! [X1] :
( member(apply(sK5,X1),X1)
| null_class = X1
| ~ member(X1,universal_class) )
& function(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f83,f131]) ).
fof(f131,plain,
( ? [X0] :
( ! [X1] :
( member(apply(X0,X1),X1)
| null_class = X1
| ~ member(X1,universal_class) )
& function(X0) )
=> ( ! [X1] :
( member(apply(sK5,X1),X1)
| null_class = X1
| ~ member(X1,universal_class) )
& function(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0] :
( ! [X1] :
( member(apply(X0,X1),X1)
| null_class = X1
| ~ member(X1,universal_class) )
& function(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
? [X0] :
( ! [X1] :
( member(apply(X0,X1),X1)
| null_class = X1
| ~ member(X1,universal_class) )
& function(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
? [X0] :
( ! [X1] :
( member(X1,universal_class)
=> ( member(apply(X0,X1),X1)
| null_class = X1 ) )
& function(X0) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
? [X8] :
( ! [X1] :
( member(X1,universal_class)
=> ( member(apply(X8,X1),X1)
| null_class = X1 ) )
& function(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',choice) ).
fof(f272,plain,
~ spl7_1,
inference(avatar_split_clause,[],[f136,f269]) ).
fof(f136,plain,
~ member(sK0,universal_class),
inference(cnf_transformation,[],[f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET117+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n018.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 16:33:22 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (3229)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.33 % (3232)WARNING: value z3 for option sas not known
% 0.10/0.34 % (3234)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.10/0.34 % (3233)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.34 % (3235)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.10/0.34 % (3232)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.34 % (3230)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.34 % (3236)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.10/0.34 % (3231)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.34 % (3234)First to succeed.
% 0.10/0.34 % (3234)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3229"
% 0.10/0.34 % (3234)Refutation found. Thanks to Tanya!
% 0.10/0.34 % SZS status Theorem for theBenchmark
% 0.10/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.34 % (3234)------------------------------
% 0.10/0.34 % (3234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.10/0.34 % (3234)Termination reason: Refutation
% 0.10/0.34
% 0.10/0.34 % (3234)Memory used [KB]: 978
% 0.10/0.34 % (3234)Time elapsed: 0.008 s
% 0.10/0.34 % (3234)Instructions burned: 12 (million)
% 0.10/0.34 % (3229)Success in time 0.023 s
%------------------------------------------------------------------------------