TSTP Solution File: SET347-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET347-6 : 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_sat --cores 0 -t %d %s

% Computer : n014.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 18:24:30 EDT 2022

% Result   : Unsatisfiable 2.18s 0.67s
% Output   : Refutation 2.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   60 (  17 unt;   0 def)
%            Number of atoms       :  105 (  28 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   87 (  42   ~;  45   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :   14 (   3 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   3 con; 0-3 aty)
%            Number of variables   :   60 (  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f832,plain,
    $false,
    inference(subsumption_resolution,[],[f795,f794]) ).

fof(f794,plain,
    ~ member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),universal_class),
    inference(resolution,[],[f786,f24]) ).

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

fof(f786,plain,
    member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),complement(universal_class)),
    inference(duplicate_literal_removal,[],[f785]) ).

fof(f785,plain,
    ( member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),complement(universal_class))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f760,f435]) ).

fof(f435,plain,
    ( member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(universal_class,universal_class))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f433,f197]) ).

fof(f197,plain,
    ! [X10] :
      ( ~ member(X10,element_relation)
      | member(X10,cross_product(universal_class,universal_class)) ),
    inference(resolution,[],[f1,f18]) ).

fof(f18,axiom,
    subclass(element_relation,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation1) ).

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

fof(f433,plain,
    ( member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),element_relation)
    | member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f424,f21]) ).

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

fof(f424,plain,
    ( member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),intersection(element_relation,cross_product(universal_class,complement(universal_class))))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f421,f21]) ).

fof(f421,plain,
    ( member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f416,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(f416,plain,
    ( ~ subclass(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)))
    | member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))) ),
    inference(resolution,[],[f413,f2]) ).

fof(f413,plain,
    ( ~ subclass(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))
    | ~ subclass(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))) ),
    inference(extensionality_resolution,[],[f7,f412]) ).

fof(f412,plain,
    complement(universal_class) != intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),
    inference(subsumption_resolution,[],[f411,f410]) ).

fof(f410,plain,
    ( ~ member(not_subclass_element(complement(universal_class),domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class))))),universal_class)
    | complement(universal_class) != intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)) ),
    inference(resolution,[],[f408,f24]) ).

fof(f408,plain,
    ( member(not_subclass_element(complement(universal_class),domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class))))),complement(universal_class))
    | complement(universal_class) != intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)) ),
    inference(resolution,[],[f401,f346]) ).

fof(f346,plain,
    ( member(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))))
    | member(not_subclass_element(complement(universal_class),domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class))))),complement(universal_class)) ),
    inference(forward_demodulation,[],[f324,f310]) ).

fof(f310,plain,
    null_class = complement(universal_class),
    inference(duplicate_literal_removal,[],[f306]) ).

fof(f306,plain,
    ( null_class = complement(universal_class)
    | null_class = complement(universal_class) ),
    inference(resolution,[],[f184,f231]) ).

fof(f231,plain,
    ! [X0] :
      ( member(regular(X0),universal_class)
      | null_class = X0 ),
    inference(resolution,[],[f193,f66]) ).

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

fof(f193,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(f184,plain,
    ! [X0] :
      ( ~ member(regular(complement(X0)),X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f66,f24]) ).

fof(f324,plain,
    ( member(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,null_class))),null_class),domain_of(intersection(element_relation,cross_product(universal_class,null_class))))
    | member(not_subclass_element(complement(universal_class),domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class))))),complement(universal_class)) ),
    inference(backward_demodulation,[],[f228,f310]) ).

fof(f228,plain,
    ( member(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,null_class))),null_class),domain_of(intersection(element_relation,cross_product(universal_class,null_class))))
    | member(not_subclass_element(null_class,domain_of(intersection(element_relation,cross_product(universal_class,null_class)))),null_class) ),
    inference(resolution,[],[f224,f2]) ).

fof(f224,plain,
    ( ~ subclass(null_class,domain_of(intersection(element_relation,cross_product(universal_class,null_class))))
    | member(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,null_class))),null_class),domain_of(intersection(element_relation,cross_product(universal_class,null_class)))) ),
    inference(resolution,[],[f207,f2]) ).

fof(f207,plain,
    ( ~ subclass(domain_of(intersection(element_relation,cross_product(universal_class,null_class))),null_class)
    | ~ subclass(null_class,domain_of(intersection(element_relation,cross_product(universal_class,null_class)))) ),
    inference(extensionality_resolution,[],[f7,f133]) ).

fof(f133,plain,
    null_class != domain_of(intersection(element_relation,cross_product(universal_class,null_class))),
    inference(definition_unfolding,[],[f113,f114]) ).

fof(f114,plain,
    ! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
    inference(definition_unfolding,[],[f53,f28]) ).

fof(f28,axiom,
    ! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).

fof(f53,axiom,
    ! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_definition) ).

fof(f113,axiom,
    null_class != sum_class(null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_class_of_null_class_1) ).

fof(f401,plain,
    ! [X0,X4] :
      ( ~ member(X4,domain_of(X0))
      | complement(universal_class) != intersection(X0,cross_product(unordered_pair(X4,X4),universal_class)) ),
    inference(forward_demodulation,[],[f142,f310]) ).

fof(f142,plain,
    ! [X0,X4] :
      ( ~ member(X4,domain_of(X0))
      | null_class != intersection(X0,cross_product(unordered_pair(X4,X4),universal_class)) ),
    inference(definition_unfolding,[],[f30,f28,f12]) ).

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

fof(f30,axiom,
    ! [X0,X4] :
      ( ~ member(X4,domain_of(X0))
      | restrict(X0,singleton(X4),universal_class) != null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).

fof(f411,plain,
    ( complement(universal_class) != intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))
    | member(not_subclass_element(complement(universal_class),domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class))))),universal_class) ),
    inference(resolution,[],[f408,f193]) ).

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

fof(f760,plain,
    ! [X1] :
      ( ~ member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(X1,universal_class))
      | member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f620,f432]) ).

fof(f432,plain,
    ( member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(universal_class,complement(universal_class)))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f424,f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).

fof(f620,plain,
    ! [X2,X0,X1] :
      ( ~ member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(X0,complement(X1)))
      | ~ member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(X2,X1)) ),
    inference(resolution,[],[f580,f540]) ).

fof(f540,plain,
    ! [X3,X4] :
      ( member(second(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),X4)
      | ~ member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(X3,X4)) ),
    inference(superposition,[],[f164,f534]) ).

fof(f534,plain,
    not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),second(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)))))),
    inference(subsumption_resolution,[],[f532,f531]) ).

fof(f531,plain,
    ( ~ member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),universal_class)
    | not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),second(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)))))) ),
    inference(resolution,[],[f524,f24]) ).

fof(f524,plain,
    ( member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),complement(universal_class))
    | not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),second(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)))))) ),
    inference(resolution,[],[f154,f423]) ).

fof(f423,plain,
    ( member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f421,f22]) ).

fof(f154,plain,
    ! [X0,X1,X4] :
      ( ~ member(X4,cross_product(X0,X1))
      | unordered_pair(unordered_pair(first(X4),first(X4)),unordered_pair(first(X4),unordered_pair(second(X4),second(X4)))) = X4 ),
    inference(definition_unfolding,[],[f17,f126]) ).

fof(f126,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f13,f12,f12]) ).

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).

fof(f17,axiom,
    ! [X0,X1,X4] :
      ( ordered_pair(first(X4),second(X4)) = X4
      | ~ member(X4,cross_product(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).

fof(f532,plain,
    ( not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),second(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))))))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),universal_class) ),
    inference(resolution,[],[f524,f193]) ).

fof(f164,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
      | member(X3,X1) ),
    inference(definition_unfolding,[],[f15,f126]) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
      | member(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).

fof(f580,plain,
    ! [X19,X20] :
      ( ~ member(second(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class))),X20)
      | ~ member(not_subclass_element(intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(X19,complement(X20))) ),
    inference(resolution,[],[f540,f24]) ).

fof(f795,plain,
    member(not_subclass_element(complement(universal_class),intersection(intersection(element_relation,cross_product(universal_class,complement(universal_class))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class)),not_subclass_element(domain_of(intersection(element_relation,cross_product(universal_class,complement(universal_class)))),complement(universal_class))),universal_class))),universal_class),
    inference(resolution,[],[f786,f193]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET347-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n014.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 Aug 30 13:42:18 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (32233)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51  % (32241)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  % (32234)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.52  % (32252)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52  % (32251)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52  % (32235)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (32244)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53  % (32257)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53  % (32236)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (32249)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53  % (32232)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.54  % (32256)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.54  % (32243)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (32237)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.54  % (32247)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54  % (32254)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54  % (32248)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.54  % (32242)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (32260)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.54  % (32246)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55  % (32239)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55  % (32238)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (32250)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  % (32234)Instruction limit reached!
% 0.21/0.55  % (32234)------------------------------
% 0.21/0.55  % (32234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (32240)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55  % (32240)Instruction limit reached!
% 0.21/0.55  % (32240)------------------------------
% 0.21/0.55  % (32240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (32240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (32240)Termination reason: Unknown
% 0.21/0.55  % (32240)Termination phase: Function definition elimination
% 0.21/0.55  
% 0.21/0.55  % (32240)Memory used [KB]: 1023
% 0.21/0.55  % (32240)Time elapsed: 0.002 s
% 0.21/0.55  % (32240)Instructions burned: 2 (million)
% 0.21/0.55  % (32240)------------------------------
% 0.21/0.55  % (32240)------------------------------
% 0.21/0.55  % (32261)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55  % (32255)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.56  % (32259)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.56  % (32262)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.56  % (32258)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.56/0.56  % (32253)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.56/0.57  % (32234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (32234)Termination reason: Unknown
% 1.56/0.57  % (32234)Termination phase: Saturation
% 1.56/0.57  
% 1.56/0.57  % (32234)Memory used [KB]: 1791
% 1.56/0.57  % (32234)Time elapsed: 0.122 s
% 1.56/0.57  % (32234)Instructions burned: 37 (million)
% 1.56/0.57  % (32234)------------------------------
% 1.56/0.57  % (32234)------------------------------
% 1.56/0.57  % (32233)Instruction limit reached!
% 1.56/0.57  % (32233)------------------------------
% 1.56/0.57  % (32233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58  % (32239)Instruction limit reached!
% 1.71/0.58  % (32239)------------------------------
% 1.71/0.58  % (32239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58  % (32239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58  % (32239)Termination reason: Unknown
% 1.71/0.58  % (32239)Termination phase: Saturation
% 1.71/0.58  
% 1.71/0.58  % (32239)Memory used [KB]: 5500
% 1.71/0.58  % (32239)Time elapsed: 0.127 s
% 1.71/0.58  % (32239)Instructions burned: 7 (million)
% 1.71/0.58  % (32239)------------------------------
% 1.71/0.58  % (32239)------------------------------
% 1.71/0.59  % (32233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59  % (32233)Termination reason: Unknown
% 1.71/0.59  % (32233)Termination phase: Saturation
% 1.71/0.59  
% 1.71/0.59  % (32233)Memory used [KB]: 6396
% 1.71/0.59  % (32233)Time elapsed: 0.161 s
% 1.71/0.59  % (32233)Instructions burned: 50 (million)
% 1.71/0.59  % (32233)------------------------------
% 1.71/0.59  % (32233)------------------------------
% 1.71/0.59  % (32242)Instruction limit reached!
% 1.71/0.59  % (32242)------------------------------
% 1.71/0.59  % (32242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60  % (32241)Instruction limit reached!
% 1.71/0.60  % (32241)------------------------------
% 1.71/0.60  % (32241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60  % (32241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60  % (32241)Termination reason: Unknown
% 1.71/0.60  % (32241)Termination phase: Saturation
% 1.71/0.60  
% 1.71/0.60  % (32241)Memory used [KB]: 1918
% 1.71/0.60  % (32241)Time elapsed: 0.194 s
% 1.71/0.60  % (32241)Instructions burned: 51 (million)
% 1.71/0.60  % (32241)------------------------------
% 1.71/0.60  % (32241)------------------------------
% 1.71/0.61  % (32235)Instruction limit reached!
% 1.71/0.61  % (32235)------------------------------
% 1.71/0.61  % (32235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61  % (32235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61  % (32235)Termination reason: Unknown
% 1.71/0.61  % (32235)Termination phase: Saturation
% 1.71/0.61  
% 1.71/0.61  % (32235)Memory used [KB]: 6652
% 1.71/0.61  % (32235)Time elapsed: 0.188 s
% 1.71/0.61  % (32235)Instructions burned: 52 (million)
% 1.71/0.61  % (32235)------------------------------
% 1.71/0.61  % (32235)------------------------------
% 1.71/0.61  % (32250)Instruction limit reached!
% 1.71/0.61  % (32250)------------------------------
% 1.71/0.61  % (32250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61  % (32242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61  % (32242)Termination reason: Unknown
% 1.71/0.61  % (32242)Termination phase: Saturation
% 1.71/0.61  
% 1.71/0.61  % (32242)Memory used [KB]: 6908
% 1.71/0.61  % (32242)Time elapsed: 0.181 s
% 1.71/0.61  % (32242)Instructions burned: 50 (million)
% 1.71/0.61  % (32242)------------------------------
% 1.71/0.61  % (32242)------------------------------
% 1.71/0.61  % (32236)Instruction limit reached!
% 1.71/0.61  % (32236)------------------------------
% 1.71/0.61  % (32236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61  % (32236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61  % (32236)Termination reason: Unknown
% 1.71/0.61  % (32236)Termination phase: Saturation
% 1.71/0.61  
% 1.71/0.61  % (32236)Memory used [KB]: 6524
% 1.71/0.61  % (32236)Time elapsed: 0.207 s
% 1.71/0.61  % (32236)Instructions burned: 52 (million)
% 1.71/0.61  % (32236)------------------------------
% 1.71/0.61  % (32236)------------------------------
% 1.71/0.62  % (32237)Instruction limit reached!
% 1.71/0.62  % (32237)------------------------------
% 1.71/0.62  % (32237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.62  % (32238)Instruction limit reached!
% 1.71/0.62  % (32238)------------------------------
% 1.71/0.62  % (32238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.62  % (32238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.62  % (32238)Termination reason: Unknown
% 1.71/0.62  % (32238)Termination phase: Finite model building preprocessing
% 1.71/0.62  
% 1.71/0.62  % (32238)Memory used [KB]: 1535
% 1.71/0.62  % (32238)Time elapsed: 0.023 s
% 1.71/0.62  % (32238)Instructions burned: 52 (million)
% 1.71/0.62  % (32238)------------------------------
% 1.71/0.62  % (32238)------------------------------
% 2.06/0.63  % (32250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.63  % (32250)Termination reason: Unknown
% 2.06/0.63  % (32250)Termination phase: Finite model building preprocessing
% 2.06/0.63  
% 2.06/0.63  % (32250)Memory used [KB]: 1535
% 2.06/0.63  % (32250)Time elapsed: 0.030 s
% 2.06/0.63  % (32250)Instructions burned: 60 (million)
% 2.06/0.63  % (32250)------------------------------
% 2.06/0.63  % (32250)------------------------------
% 2.06/0.64  % (32237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.64  % (32237)Termination reason: Unknown
% 2.06/0.64  % (32237)Termination phase: Saturation
% 2.06/0.64  
% 2.06/0.64  % (32237)Memory used [KB]: 6396
% 2.06/0.64  % (32237)Time elapsed: 0.211 s
% 2.06/0.64  % (32237)Instructions burned: 49 (million)
% 2.06/0.64  % (32237)------------------------------
% 2.06/0.64  % (32237)------------------------------
% 2.06/0.64  % (32252)Instruction limit reached!
% 2.06/0.64  % (32252)------------------------------
% 2.06/0.64  % (32252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.64  % (32252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.64  % (32252)Termination reason: Unknown
% 2.06/0.64  % (32252)Termination phase: Saturation
% 2.06/0.64  
% 2.06/0.64  % (32252)Memory used [KB]: 2430
% 2.06/0.64  % (32252)Time elapsed: 0.239 s
% 2.06/0.64  % (32252)Instructions burned: 101 (million)
% 2.06/0.64  % (32252)------------------------------
% 2.06/0.64  % (32252)------------------------------
% 2.18/0.65  % (32247)Instruction limit reached!
% 2.18/0.65  % (32247)------------------------------
% 2.18/0.65  % (32247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.66  % (32255)First to succeed.
% 2.18/0.66  % (32247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.66  % (32247)Termination reason: Unknown
% 2.18/0.66  % (32247)Termination phase: Saturation
% 2.18/0.66  
% 2.18/0.66  % (32247)Memory used [KB]: 7164
% 2.18/0.66  % (32247)Time elapsed: 0.038 s
% 2.18/0.66  % (32247)Instructions burned: 68 (million)
% 2.18/0.66  % (32247)------------------------------
% 2.18/0.66  % (32247)------------------------------
% 2.18/0.67  % (32255)Refutation found. Thanks to Tanya!
% 2.18/0.67  % SZS status Unsatisfiable for theBenchmark
% 2.18/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.67  % (32255)------------------------------
% 2.18/0.67  % (32255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.67  % (32255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.67  % (32255)Termination reason: Refutation
% 2.18/0.67  
% 2.18/0.67  % (32255)Memory used [KB]: 1918
% 2.18/0.67  % (32255)Time elapsed: 0.256 s
% 2.18/0.67  % (32255)Instructions burned: 74 (million)
% 2.18/0.67  % (32255)------------------------------
% 2.18/0.67  % (32255)------------------------------
% 2.18/0.67  % (32226)Success in time 0.303 s
%------------------------------------------------------------------------------