TSTP Solution File: SET126-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET126-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n007.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 18:19:27 EDT 2022

% Result   : Unsatisfiable 1.24s 0.55s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   69 (  18 unt;   0 def)
%            Number of atoms       :  135 (  18 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  128 (  62   ~;  66   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f407,plain,
    $false,
    inference(subsumption_resolution,[],[f405,f365]) ).

fof(f365,plain,
    member(x,unordered_pair(x,x)),
    inference(backward_demodulation,[],[f355,f360]) ).

fof(f360,plain,
    x = not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),
    inference(duplicate_literal_removal,[],[f358]) ).

fof(f358,plain,
    ( x = not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))))
    | x = not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
    inference(resolution,[],[f355,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X0 = X2
      | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).

fof(f355,plain,
    member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),unordered_pair(x,x)),
    inference(subsumption_resolution,[],[f353,f341]) ).

fof(f341,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),universal_class)
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),unordered_pair(x,x)) ),
    inference(forward_demodulation,[],[f306,f286]) ).

fof(f286,plain,
    null_class = complement(universal_class),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f282,plain,
    ( null_class = complement(universal_class)
    | null_class = complement(universal_class) ),
    inference(resolution,[],[f150,f191]) ).

fof(f191,plain,
    ! [X0] :
      ( member(regular(X0),universal_class)
      | null_class = X0 ),
    inference(resolution,[],[f159,f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(X0,universal_class) ),
    inference(resolution,[],[f1,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f150,plain,
    ! [X0] :
      ( ~ member(regular(complement(X0)),X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f66,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).

fof(f306,plain,
    ( member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),unordered_pair(x,x))
    | member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class) ),
    inference(backward_demodulation,[],[f197,f286]) ).

fof(f197,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
    inference(resolution,[],[f159,f186]) ).

fof(f186,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
    inference(resolution,[],[f182,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f182,plain,
    ( ~ subclass(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
    | member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
    inference(resolution,[],[f169,f2]) ).

fof(f169,plain,
    ( ~ subclass(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x))
    | ~ subclass(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
    inference(extensionality_resolution,[],[f7,f133]) ).

fof(f133,plain,
    unordered_pair(x,x) != complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),
    inference(definition_unfolding,[],[f93,f99,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f99,plain,
    ! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
    inference(definition_unfolding,[],[f92,f26,f12]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).

fof(f92,axiom,
    ! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).

fof(f93,axiom,
    set_builder(x,null_class) != singleton(x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_and_singleton_1) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | X0 = X1
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f353,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),universal_class)
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),unordered_pair(x,x)) ),
    inference(resolution,[],[f334,f24]) ).

fof(f334,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),complement(universal_class))
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),unordered_pair(x,x)) ),
    inference(forward_demodulation,[],[f317,f286]) ).

fof(f317,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),null_class)
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),unordered_pair(x,x)) ),
    inference(backward_demodulation,[],[f240,f286]) ).

fof(f240,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),null_class)
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
    inference(subsumption_resolution,[],[f239,f197]) ).

fof(f239,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),null_class)
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
    inference(resolution,[],[f238,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | member(X4,X0)
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).

fof(f238,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class))
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
    inference(subsumption_resolution,[],[f237,f184]) ).

fof(f184,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x))
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
    inference(resolution,[],[f181,f2]) ).

fof(f181,plain,
    ( ~ subclass(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x)) ),
    inference(resolution,[],[f169,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f237,plain,
    ( member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x))
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class))
    | member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x)) ),
    inference(subsumption_resolution,[],[f236,f197]) ).

fof(f236,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x))
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class))
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x))
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class) ),
    inference(resolution,[],[f233,f25]) ).

fof(f233,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(unordered_pair(x,x)))
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x))
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class)) ),
    inference(resolution,[],[f23,f187]) ).

fof(f187,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),intersection(complement(unordered_pair(x,x)),complement(null_class)))
    | member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
    inference(resolution,[],[f186,f24]) ).

fof(f23,axiom,
    ! [X0,X1,X4] :
      ( member(X4,intersection(X0,X1))
      | ~ member(X4,X1)
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).

fof(f405,plain,
    ~ member(x,unordered_pair(x,x)),
    inference(resolution,[],[f399,f24]) ).

fof(f399,plain,
    member(x,complement(unordered_pair(x,x))),
    inference(resolution,[],[f397,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).

fof(f397,plain,
    member(x,intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),
    inference(subsumption_resolution,[],[f396,f364]) ).

fof(f364,plain,
    member(x,universal_class),
    inference(backward_demodulation,[],[f359,f360]) ).

fof(f359,plain,
    member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),universal_class),
    inference(resolution,[],[f355,f159]) ).

fof(f396,plain,
    ( ~ member(x,universal_class)
    | member(x,intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))) ),
    inference(resolution,[],[f395,f25]) ).

fof(f395,plain,
    ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),
    inference(subsumption_resolution,[],[f393,f387]) ).

fof(f387,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),universal_class)
    | ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
    inference(forward_demodulation,[],[f327,f360]) ).

fof(f327,plain,
    ( ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))))
    | member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),universal_class) ),
    inference(forward_demodulation,[],[f305,f286]) ).

fof(f305,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
    | ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
    inference(backward_demodulation,[],[f196,f286]) ).

fof(f196,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
    | ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
    inference(resolution,[],[f159,f185]) ).

fof(f185,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
    | ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
    inference(resolution,[],[f182,f3]) ).

fof(f393,plain,
    ( ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))))
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),universal_class) ),
    inference(resolution,[],[f392,f24]) ).

fof(f392,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),complement(universal_class))
    | ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
    inference(forward_demodulation,[],[f325,f360]) ).

fof(f325,plain,
    ( ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))))
    | member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),complement(universal_class)) ),
    inference(forward_demodulation,[],[f319,f286]) ).

fof(f319,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),null_class)
    | ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
    inference(backward_demodulation,[],[f246,f286]) ).

fof(f246,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),null_class)
    | ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
    inference(subsumption_resolution,[],[f245,f196]) ).

fof(f245,plain,
    ( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),null_class)
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
    | ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
    inference(resolution,[],[f244,f25]) ).

fof(f244,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class))
    | ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
    inference(subsumption_resolution,[],[f243,f196]) ).

fof(f243,plain,
    ( ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class)) ),
    inference(subsumption_resolution,[],[f242,f183]) ).

fof(f183,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x))
    | ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
    inference(resolution,[],[f181,f3]) ).

fof(f242,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class))
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
    | ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
    | member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x)) ),
    inference(resolution,[],[f232,f25]) ).

fof(f232,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(unordered_pair(x,x)))
    | ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class))
    | ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
    inference(resolution,[],[f23,f188]) ).

fof(f188,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),intersection(complement(unordered_pair(x,x)),complement(null_class)))
    | ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
    inference(resolution,[],[f185,f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET126-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 13:06:16 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.51  % (8466)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52  % (8482)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.52  % (8474)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52  % (8482)Refutation not found, incomplete strategy% (8482)------------------------------
% 0.19/0.52  % (8482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (8467)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (8467)Refutation not found, incomplete strategy% (8467)------------------------------
% 0.19/0.53  % (8467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (8467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (8467)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (8467)Memory used [KB]: 5884
% 0.19/0.53  % (8467)Time elapsed: 0.112 s
% 0.19/0.53  % (8467)------------------------------
% 0.19/0.53  % (8467)------------------------------
% 0.19/0.53  % (8475)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54  % (8482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (8482)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (8482)Memory used [KB]: 6012
% 0.19/0.54  % (8482)Time elapsed: 0.107 s
% 0.19/0.54  % (8482)Instructions burned: 4 (million)
% 0.19/0.54  % (8482)------------------------------
% 0.19/0.54  % (8482)------------------------------
% 0.19/0.54  % (8488)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.54  % (8460)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.54  % (8484)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.54  % (8488)Refutation not found, incomplete strategy% (8488)------------------------------
% 0.19/0.54  % (8488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (8488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (8488)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (8488)Memory used [KB]: 6012
% 0.19/0.54  % (8488)Time elapsed: 0.132 s
% 0.19/0.54  % (8488)Instructions burned: 3 (million)
% 0.19/0.54  % (8488)------------------------------
% 0.19/0.54  % (8488)------------------------------
% 0.19/0.54  % (8465)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54  % (8466)First to succeed.
% 0.19/0.54  % (8485)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.54  % (8470)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54  % (8479)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (8475)Instruction limit reached!
% 0.19/0.54  % (8475)------------------------------
% 0.19/0.54  % (8475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (8475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (8475)Termination reason: Unknown
% 0.19/0.54  % (8475)Termination phase: Finite model building preprocessing
% 0.19/0.54  
% 0.19/0.54  % (8475)Memory used [KB]: 1535
% 0.19/0.54  % (8475)Time elapsed: 0.006 s
% 0.19/0.54  % (8475)Instructions burned: 7 (million)
% 0.19/0.54  % (8475)------------------------------
% 0.19/0.54  % (8475)------------------------------
% 0.19/0.54  % (8470)Instruction limit reached!
% 0.19/0.54  % (8470)------------------------------
% 0.19/0.54  % (8470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (8470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (8470)Termination reason: Unknown
% 0.19/0.54  % (8470)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (8470)Memory used [KB]: 1407
% 0.19/0.54  % (8470)Time elapsed: 0.004 s
% 0.19/0.54  % (8470)Instructions burned: 7 (million)
% 0.19/0.54  % (8470)------------------------------
% 0.19/0.54  % (8470)------------------------------
% 0.19/0.55  % (8476)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  % (8476)Instruction limit reached!
% 0.19/0.55  % (8476)------------------------------
% 0.19/0.55  % (8476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (8476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (8476)Termination reason: Unknown
% 0.19/0.55  % (8476)Termination phase: Function definition elimination
% 0.19/0.55  
% 0.19/0.55  % (8476)Memory used [KB]: 1407
% 0.19/0.55  % (8476)Time elapsed: 0.002 s
% 0.19/0.55  % (8476)Instructions burned: 2 (million)
% 0.19/0.55  % (8476)------------------------------
% 0.19/0.55  % (8476)------------------------------
% 0.19/0.55  % (8473)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55  % (8463)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.55  % (8483)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.55  % (8480)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.55  % (8473)Instruction limit reached!
% 0.19/0.55  % (8473)------------------------------
% 0.19/0.55  % (8473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (8473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (8473)Termination reason: Unknown
% 0.19/0.55  % (8473)Termination phase: Function definition elimination
% 0.19/0.55  
% 0.19/0.55  % (8473)Memory used [KB]: 1407
% 0.19/0.55  % (8473)Time elapsed: 0.004 s
% 0.19/0.55  % (8473)Instructions burned: 4 (million)
% 0.19/0.55  % (8473)------------------------------
% 0.19/0.55  % (8473)------------------------------
% 0.19/0.55  % (8468)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55  % (8468)Instruction limit reached!
% 0.19/0.55  % (8468)------------------------------
% 0.19/0.55  % (8468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (8468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (8468)Termination reason: Unknown
% 0.19/0.55  % (8468)Termination phase: Property scanning
% 0.19/0.55  
% 0.19/0.55  % (8468)Memory used [KB]: 1407
% 0.19/0.55  % (8468)Time elapsed: 0.003 s
% 0.19/0.55  % (8468)Instructions burned: 3 (million)
% 0.19/0.55  % (8468)------------------------------
% 0.19/0.55  % (8468)------------------------------
% 0.19/0.55  % (8477)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.55  % (8486)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.24/0.55  % (8469)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.24/0.55  % (8472)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.24/0.55  % (8466)Refutation found. Thanks to Tanya!
% 1.24/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.24/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.24/0.55  % (8466)------------------------------
% 1.24/0.55  % (8466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.55  % (8466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.55  % (8466)Termination reason: Refutation
% 1.24/0.55  
% 1.24/0.55  % (8466)Memory used [KB]: 1663
% 1.24/0.55  % (8466)Time elapsed: 0.114 s
% 1.24/0.55  % (8466)Instructions burned: 21 (million)
% 1.24/0.55  % (8466)------------------------------
% 1.24/0.55  % (8466)------------------------------
% 1.24/0.55  % (8459)Success in time 0.188 s
%------------------------------------------------------------------------------