TSTP Solution File: NUM190-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 : Tue Apr 30 14:13:56 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 47
% Syntax : Number of formulae : 150 ( 16 unt; 0 def)
% Number of atoms : 305 ( 42 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 260 ( 105 ~; 133 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 23 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f575,plain,
$false,
inference(avatar_sat_refutation,[],[f180,f227,f237,f268,f274,f363,f383,f392,f406,f421,f434,f436,f454,f464,f479,f481,f506,f523,f531,f553,f574]) ).
fof(f574,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f573]) ).
fof(f573,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f569,f166]) ).
fof(f166,plain,
inductive(null_class),
inference(superposition,[],[f50,f159]) ).
fof(f159,axiom,
null_class = omega,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_omega_is_not_null_1) ).
fof(f50,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_is_inductive1) ).
fof(f569,plain,
( ~ inductive(null_class)
| ~ spl0_5 ),
inference(superposition,[],[f562,f560]) ).
fof(f560,plain,
( null_class = kind_1_ordinals
| ~ spl0_5 ),
inference(resolution,[],[f558,f490]) ).
fof(f490,plain,
! [X0] :
( member(null_class,X0)
| null_class = X0 ),
inference(subsumption_resolution,[],[f487,f166]) ).
fof(f487,plain,
! [X0] :
( ~ inductive(null_class)
| member(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f212,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f212,plain,
! [X0,X1] :
( ~ inductive(intersection(X0,X1))
| member(null_class,X0) ),
inference(resolution,[],[f21,f47]) ).
fof(f47,axiom,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive1) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f558,plain,
( ~ member(null_class,kind_1_ordinals)
| ~ spl0_5 ),
inference(resolution,[],[f232,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f232,plain,
( member(null_class,complement(kind_1_ordinals))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl0_5
<=> member(null_class,complement(kind_1_ordinals)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f562,plain,
( ~ inductive(kind_1_ordinals)
| ~ spl0_5 ),
inference(resolution,[],[f558,f47]) ).
fof(f553,plain,
( ~ spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f552,plain,
( $false
| ~ spl0_1
| spl0_9 ),
inference(subsumption_resolution,[],[f547,f166]) ).
fof(f547,plain,
( ~ inductive(null_class)
| ~ spl0_1
| spl0_9 ),
inference(superposition,[],[f175,f509]) ).
fof(f509,plain,
( ! [X0] : null_class = recursion_equation_functions(X0)
| spl0_9 ),
inference(subsumption_resolution,[],[f502,f358]) ).
fof(f358,plain,
( ~ member(domain_of(null_class),ordinal_numbers)
| spl0_9 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl0_9
<=> member(domain_of(null_class),ordinal_numbers) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f502,plain,
! [X0] :
( null_class = recursion_equation_functions(X0)
| member(domain_of(null_class),ordinal_numbers) ),
inference(resolution,[],[f490,f149]) ).
fof(f149,axiom,
! [X0,X4] :
( ~ member(X0,recursion_equation_functions(X4))
| member(domain_of(X0),ordinal_numbers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',recursion_equation_functions3) ).
fof(f175,plain,
( ! [X0] : ~ inductive(recursion_equation_functions(X0))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl0_1
<=> ! [X0] : ~ inductive(recursion_equation_functions(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f531,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f530,plain,
( $false
| spl0_7 ),
inference(subsumption_resolution,[],[f529,f166]) ).
fof(f529,plain,
( ~ inductive(null_class)
| spl0_7 ),
inference(superposition,[],[f516,f514]) ).
fof(f514,plain,
( null_class = kind_1_ordinals
| spl0_7 ),
inference(resolution,[],[f507,f490]) ).
fof(f507,plain,
( ~ member(null_class,kind_1_ordinals)
| spl0_7 ),
inference(subsumption_resolution,[],[f500,f262]) ).
fof(f262,plain,
( null_class != limit_ordinals
| spl0_7 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl0_7
<=> null_class = limit_ordinals ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f500,plain,
( null_class = limit_ordinals
| ~ member(null_class,kind_1_ordinals) ),
inference(resolution,[],[f490,f251]) ).
fof(f251,plain,
! [X0] :
( ~ member(X0,limit_ordinals)
| ~ member(X0,kind_1_ordinals) ),
inference(resolution,[],[f216,f24]) ).
fof(f216,plain,
! [X0] :
( member(X0,complement(kind_1_ordinals))
| ~ member(X0,limit_ordinals) ),
inference(superposition,[],[f21,f139]) ).
fof(f139,axiom,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',limit_ordinals) ).
fof(f516,plain,
( ~ inductive(kind_1_ordinals)
| spl0_7 ),
inference(resolution,[],[f507,f47]) ).
fof(f523,plain,
( spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f522,plain,
( $false
| spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f521,f166]) ).
fof(f521,plain,
( ~ inductive(null_class)
| spl0_3
| spl0_4 ),
inference(superposition,[],[f226,f493]) ).
fof(f493,plain,
( null_class = identity_relation
| spl0_3 ),
inference(resolution,[],[f490,f249]) ).
fof(f249,plain,
( ~ member(null_class,identity_relation)
| spl0_3 ),
inference(resolution,[],[f215,f221]) ).
fof(f221,plain,
( ~ member(null_class,inverse(subset_relation))
| spl0_3 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f220,plain,
( spl0_3
<=> member(null_class,inverse(subset_relation)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f215,plain,
! [X0] :
( member(X0,inverse(subset_relation))
| ~ member(X0,identity_relation) ),
inference(superposition,[],[f21,f75]) ).
fof(f75,axiom,
identity_relation = intersection(inverse(subset_relation),subset_relation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_relation) ).
fof(f226,plain,
( ~ inductive(identity_relation)
| spl0_4 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl0_4
<=> inductive(identity_relation) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f506,plain,
( spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f505,plain,
( $false
| spl0_5
| spl0_7 ),
inference(subsumption_resolution,[],[f494,f262]) ).
fof(f494,plain,
( null_class = limit_ordinals
| spl0_5 ),
inference(resolution,[],[f490,f253]) ).
fof(f253,plain,
( ~ member(null_class,limit_ordinals)
| spl0_5 ),
inference(resolution,[],[f216,f231]) ).
fof(f231,plain,
( ~ member(null_class,complement(kind_1_ordinals))
| spl0_5 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f481,plain,
( ~ spl0_1
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f480,plain,
( $false
| ~ spl0_1
| spl0_21 ),
inference(subsumption_resolution,[],[f470,f166]) ).
fof(f470,plain,
( ~ inductive(null_class)
| ~ spl0_1
| spl0_21 ),
inference(superposition,[],[f175,f465]) ).
fof(f465,plain,
( null_class = recursion_equation_functions(universal_class)
| spl0_21 ),
inference(resolution,[],[f459,f183]) ).
fof(f183,plain,
! [X0] :
( function(X0)
| null_class = recursion_equation_functions(X0) ),
inference(resolution,[],[f66,f147]) ).
fof(f147,axiom,
! [X0,X4] :
( ~ member(X0,recursion_equation_functions(X4))
| function(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',recursion_equation_functions1) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f459,plain,
( ~ function(universal_class)
| spl0_21 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl0_21
<=> function(universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f479,plain,
spl0_21,
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| spl0_21 ),
inference(subsumption_resolution,[],[f477,f459]) ).
fof(f477,plain,
( function(universal_class)
| spl0_21 ),
inference(subsumption_resolution,[],[f469,f166]) ).
fof(f469,plain,
( ~ inductive(null_class)
| function(universal_class)
| spl0_21 ),
inference(superposition,[],[f171,f465]) ).
fof(f171,plain,
! [X0] :
( ~ inductive(recursion_equation_functions(X0))
| function(X0) ),
inference(resolution,[],[f147,f47]) ).
fof(f464,plain,
( ~ spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f346,f461,f457]) ).
fof(f461,plain,
( spl0_22
<=> universal_class = cross_product(universal_class,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f346,plain,
( universal_class = cross_product(universal_class,universal_class)
| ~ function(universal_class) ),
inference(resolution,[],[f324,f62]) ).
fof(f62,axiom,
! [X8] :
( subclass(X8,cross_product(universal_class,universal_class))
| ~ function(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',function1) ).
fof(f324,plain,
! [X0] :
( ~ subclass(universal_class,X0)
| universal_class = X0 ),
inference(resolution,[],[f7,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f454,plain,
( spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f441,f451,f448]) ).
fof(f448,plain,
( spl0_19
<=> ! [X0] : singleton(X0) = integer_of(singleton(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f451,plain,
( spl0_20
<=> subclass(universal_class,null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f441,plain,
! [X0] :
( ~ subclass(universal_class,null_class)
| singleton(X0) = integer_of(singleton(X0)) ),
inference(resolution,[],[f289,f185]) ).
fof(f185,plain,
! [X0] :
( ~ member(X0,null_class)
| integer_of(X0) = X0 ),
inference(forward_demodulation,[],[f157,f159]) ).
fof(f157,axiom,
! [X0] :
( ~ member(X0,omega)
| integer_of(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',integer_function1) ).
fof(f289,plain,
! [X0,X1] :
( member(singleton(X1),X0)
| ~ subclass(universal_class,X0) ),
inference(resolution,[],[f1,f169]) ).
fof(f169,plain,
! [X0] : member(singleton(X0),universal_class),
inference(superposition,[],[f11,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f436,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f435,f357,f174]) ).
fof(f435,plain,
( ! [X0] : ~ inductive(recursion_equation_functions(X0))
| spl0_9 ),
inference(subsumption_resolution,[],[f282,f358]) ).
fof(f282,plain,
! [X0] :
( member(domain_of(null_class),ordinal_numbers)
| ~ inductive(recursion_equation_functions(X0)) ),
inference(resolution,[],[f149,f47]) ).
fof(f434,plain,
( ~ spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f355,f431,f427]) ).
fof(f427,plain,
( spl0_17
<=> inductive(image(successor_relation,null_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f431,plain,
( spl0_18
<=> null_class = image(successor_relation,null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f355,plain,
( null_class = image(successor_relation,null_class)
| ~ inductive(image(successor_relation,null_class)) ),
inference(subsumption_resolution,[],[f351,f166]) ).
fof(f351,plain,
( null_class = image(successor_relation,null_class)
| ~ inductive(image(successor_relation,null_class))
| ~ inductive(null_class) ),
inference(resolution,[],[f328,f48]) ).
fof(f48,axiom,
! [X0] :
( subclass(image(successor_relation,X0),X0)
| ~ inductive(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive2) ).
fof(f328,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0
| ~ inductive(X0) ),
inference(resolution,[],[f7,f168]) ).
fof(f168,plain,
! [X1] :
( subclass(null_class,X1)
| ~ inductive(X1) ),
inference(forward_demodulation,[],[f51,f159]) ).
fof(f51,axiom,
! [X1] :
( ~ inductive(X1)
| subclass(omega,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_is_inductive2) ).
fof(f421,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f347,f418,f414]) ).
fof(f414,plain,
( spl0_15
<=> null_class = integer_of(not_subclass_element(universal_class,null_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f418,plain,
( spl0_16
<=> universal_class = null_class ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f347,plain,
( universal_class = null_class
| null_class = integer_of(not_subclass_element(universal_class,null_class)) ),
inference(resolution,[],[f324,f208]) ).
fof(f208,plain,
! [X0] :
( subclass(X0,null_class)
| null_class = integer_of(not_subclass_element(X0,null_class)) ),
inference(resolution,[],[f3,f189]) ).
fof(f189,plain,
! [X0] :
( member(X0,null_class)
| null_class = integer_of(X0) ),
inference(forward_demodulation,[],[f158,f159]) ).
fof(f158,axiom,
! [X0] :
( member(X0,omega)
| null_class = integer_of(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',integer_function2) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f406,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| spl0_13 ),
inference(subsumption_resolution,[],[f404,f387]) ).
fof(f387,plain,
( ~ function(domain_of(null_class))
| spl0_13 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl0_13
<=> function(domain_of(null_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f404,plain,
( function(domain_of(null_class))
| spl0_13 ),
inference(subsumption_resolution,[],[f397,f166]) ).
fof(f397,plain,
( ~ inductive(null_class)
| function(domain_of(null_class))
| spl0_13 ),
inference(superposition,[],[f171,f393]) ).
fof(f393,plain,
( null_class = recursion_equation_functions(domain_of(null_class))
| spl0_13 ),
inference(resolution,[],[f387,f183]) ).
fof(f392,plain,
( spl0_13
| spl0_14
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f373,f357,f390,f386]) ).
fof(f390,plain,
( spl0_14
<=> ! [X0] : ~ subclass(ordinal_numbers,recursion_equation_functions(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f373,plain,
( ! [X0] :
( ~ subclass(ordinal_numbers,recursion_equation_functions(X0))
| function(domain_of(null_class)) )
| ~ spl0_9 ),
inference(resolution,[],[f364,f148]) ).
fof(f148,axiom,
! [X0,X4] :
( ~ member(X0,recursion_equation_functions(X4))
| function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',recursion_equation_functions2) ).
fof(f364,plain,
( ! [X0] :
( member(domain_of(null_class),X0)
| ~ subclass(ordinal_numbers,X0) )
| ~ spl0_9 ),
inference(resolution,[],[f359,f1]) ).
fof(f359,plain,
( member(domain_of(null_class),ordinal_numbers)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f383,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f370,f357,f380,f376]) ).
fof(f376,plain,
( spl0_11
<=> member(domain_of(null_class),kind_1_ordinals) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f380,plain,
( spl0_12
<=> subclass(ordinal_numbers,limit_ordinals) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f370,plain,
( ~ subclass(ordinal_numbers,limit_ordinals)
| ~ member(domain_of(null_class),kind_1_ordinals)
| ~ spl0_9 ),
inference(resolution,[],[f364,f251]) ).
fof(f363,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f312,f361,f357]) ).
fof(f361,plain,
( spl0_10
<=> ! [X0] : ~ subclass(universal_class,recursion_equation_functions(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f312,plain,
! [X0] :
( ~ subclass(universal_class,recursion_equation_functions(X0))
| member(domain_of(null_class),ordinal_numbers) ),
inference(resolution,[],[f290,f149]) ).
fof(f290,plain,
! [X0] :
( member(null_class,X0)
| ~ subclass(universal_class,X0) ),
inference(resolution,[],[f1,f167]) ).
fof(f167,plain,
member(null_class,universal_class),
inference(forward_demodulation,[],[f52,f159]) ).
fof(f52,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_in_universal) ).
fof(f274,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f273,plain,
( $false
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f272,f166]) ).
fof(f272,plain,
( ~ inductive(null_class)
| spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f236,f263]) ).
fof(f263,plain,
( null_class = limit_ordinals
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f236,plain,
( ~ inductive(limit_ordinals)
| spl0_6 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl0_6
<=> inductive(limit_ordinals) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f268,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f246,f265,f261]) ).
fof(f265,plain,
( spl0_8
<=> member(regular(limit_ordinals),ordinal_numbers) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f246,plain,
( member(regular(limit_ordinals),ordinal_numbers)
| null_class = limit_ordinals ),
inference(resolution,[],[f243,f66]) ).
fof(f243,plain,
! [X0] :
( ~ member(X0,limit_ordinals)
| member(X0,ordinal_numbers) ),
inference(superposition,[],[f22,f139]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f237,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f218,f234,f230]) ).
fof(f218,plain,
( ~ inductive(limit_ordinals)
| member(null_class,complement(kind_1_ordinals)) ),
inference(superposition,[],[f212,f139]) ).
fof(f227,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f217,f224,f220]) ).
fof(f217,plain,
( ~ inductive(identity_relation)
| member(null_class,inverse(subset_relation)) ),
inference(superposition,[],[f212,f75]) ).
fof(f180,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f172,f177,f174]) ).
fof(f177,plain,
( spl0_2
<=> function(null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f172,plain,
! [X0] :
( function(null_class)
| ~ inductive(recursion_equation_functions(X0)) ),
inference(resolution,[],[f148,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:39:40 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (17773)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (17776)WARNING: value z3 for option sas not known
% 0.14/0.37 % (17776)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)
% 0.14/0.38 % (17775)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (17778)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)
% 0.14/0.38 % (17774)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (17779)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)
% 0.14/0.38 % (17777)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (17780)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)
% 0.14/0.39 % (17776)First to succeed.
% 0.14/0.39 % (17776)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (17776)------------------------------
% 0.14/0.39 % (17776)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (17776)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (17776)Memory used [KB]: 1231
% 0.14/0.39 % (17776)Time elapsed: 0.020 s
% 0.14/0.39 % (17776)Instructions burned: 33 (million)
% 0.14/0.39 % (17776)------------------------------
% 0.14/0.39 % (17776)------------------------------
% 0.14/0.39 % (17773)Success in time 0.036 s
%------------------------------------------------------------------------------