TSTP Solution File: NUM058-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM058-1 : 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 : n006.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 18:03:22 EDT 2022

% Result   : Unsatisfiable 2.83s 0.75s
% Output   : Refutation 2.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   64 (  19 unt;   0 def)
%            Number of atoms       :  114 (  41 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   95 (  45   ~;  50   |;   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    :   18 (  18 usr;   5 con; 0-3 aty)
%            Number of variables   :   67 (  67   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1306,plain,
    $false,
    inference(subsumption_resolution,[],[f1263,f1262]) ).

fof(f1262,plain,
    ~ member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),universal_class),
    inference(resolution,[],[f1259,f24]) ).

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

fof(f1259,plain,
    member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),complement(universal_class)),
    inference(resolution,[],[f1255,f556]) ).

fof(f556,plain,
    ( member(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f554,f22]) ).

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

fof(f554,plain,
    ( member(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f549,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(f549,plain,
    ( ~ subclass(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)))
    | member(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))) ),
    inference(resolution,[],[f546,f2]) ).

fof(f546,plain,
    ( ~ subclass(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))
    | ~ subclass(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))) ),
    inference(extensionality_resolution,[],[f7,f545]) ).

fof(f545,plain,
    complement(universal_class) != intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),
    inference(subsumption_resolution,[],[f536,f510]) ).

fof(f510,plain,
    ( member(not_subclass_element(complement(universal_class),domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class)
    | complement(universal_class) != intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)) ),
    inference(forward_demodulation,[],[f491,f455]) ).

fof(f455,plain,
    null_class = complement(universal_class),
    inference(duplicate_literal_removal,[],[f449]) ).

fof(f449,plain,
    ( null_class = complement(universal_class)
    | null_class = complement(universal_class) ),
    inference(resolution,[],[f263,f317]) ).

fof(f317,plain,
    ! [X0] :
      ( member(regular(X0),universal_class)
      | null_class = X0 ),
    inference(resolution,[],[f275,f66]) ).

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

fof(f275,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,X1)
      | ~ member(X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f263,plain,
    ! [X0] :
      ( ~ member(regular(complement(X0)),X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f66,f24]) ).

fof(f491,plain,
    ( member(not_subclass_element(complement(universal_class),domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class)
    | null_class != intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class)),universal_class)) ),
    inference(backward_demodulation,[],[f438,f455]) ).

fof(f438,plain,
    ( member(not_subclass_element(null_class,domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class)
    | null_class != intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class)),universal_class)) ),
    inference(resolution,[],[f436,f275]) ).

fof(f436,plain,
    ( member(not_subclass_element(null_class,domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))),null_class)
    | null_class != intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class)),universal_class)) ),
    inference(resolution,[],[f220,f316]) ).

fof(f316,plain,
    ( member(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))))
    | member(not_subclass_element(null_class,domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))),null_class) ),
    inference(resolution,[],[f312,f2]) ).

fof(f312,plain,
    ( ~ subclass(null_class,domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))))
    | member(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))) ),
    inference(resolution,[],[f292,f2]) ).

fof(f292,plain,
    ( ~ subclass(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class)
    | ~ subclass(null_class,domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))) ),
    inference(extensionality_resolution,[],[f7,f228]) ).

fof(f228,plain,
    null_class != domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),
    inference(definition_unfolding,[],[f160,f175]) ).

fof(f175,plain,
    ! [X1,X4,X5] : segment(X5,X1,X4) = domain_of(intersection(X5,cross_product(X1,unordered_pair(X4,X4)))),
    inference(definition_unfolding,[],[f122,f28,f12]) ).

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

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(f122,axiom,
    ! [X1,X4,X5] : segment(X5,X1,X4) = domain_of(restrict(X5,X1,singleton(X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment) ).

fof(f160,axiom,
    null_class != segment(xr,y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_segments_property2_2) ).

fof(f220,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(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(f536,plain,
    ( ~ member(not_subclass_element(complement(universal_class),domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class)
    | complement(universal_class) != intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)) ),
    inference(resolution,[],[f502,f24]) ).

fof(f502,plain,
    ( member(not_subclass_element(complement(universal_class),domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class))
    | complement(universal_class) != intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)) ),
    inference(forward_demodulation,[],[f490,f455]) ).

fof(f490,plain,
    ( null_class != intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class)),universal_class))
    | member(not_subclass_element(complement(universal_class),domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class)) ),
    inference(backward_demodulation,[],[f436,f455]) ).

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

fof(f1255,plain,
    ! [X0,X1] : ~ member(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(X0,X1)),
    inference(subsumption_resolution,[],[f1227,f159]) ).

fof(f159,axiom,
    ~ member(z,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_segments_property2_1) ).

fof(f1227,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(X0,X1))
      | member(z,universal_class) ),
    inference(backward_demodulation,[],[f757,f1216]) ).

fof(f1216,plain,
    z = second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),
    inference(subsumption_resolution,[],[f1208,f1207]) ).

fof(f1207,plain,
    ( ~ member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),universal_class)
    | z = second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))) ),
    inference(resolution,[],[f1150,f24]) ).

fof(f1150,plain,
    ( member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),complement(universal_class))
    | z = second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))) ),
    inference(duplicate_literal_removal,[],[f1148]) ).

fof(f1148,plain,
    ( z = second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),complement(universal_class))
    | z = second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))) ),
    inference(resolution,[],[f760,f565]) ).

fof(f565,plain,
    ( member(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(y,unordered_pair(z,z)))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f557,f22]) ).

fof(f557,plain,
    ( member(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)),intersection(xr,cross_product(y,unordered_pair(z,z))))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),complement(universal_class)) ),
    inference(resolution,[],[f554,f21]) ).

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

fof(f760,plain,
    ! [X8,X6,X7] :
      ( ~ member(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(X6,unordered_pair(X7,X8)))
      | second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))) = X8
      | second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))) = X7 ),
    inference(resolution,[],[f736,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(f736,plain,
    ! [X2,X3] :
      ( member(second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),X3)
      | ~ member(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(X2,X3)) ),
    inference(superposition,[],[f189,f734]) ).

fof(f734,plain,
    unordered_pair(unordered_pair(first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)))))) = not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)),
    inference(subsumption_resolution,[],[f731,f730]) ).

fof(f730,plain,
    ( ~ member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),universal_class)
    | unordered_pair(unordered_pair(first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)))))) = not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)) ),
    inference(resolution,[],[f725,f24]) ).

fof(f725,plain,
    ( member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),complement(universal_class))
    | unordered_pair(unordered_pair(first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)))))) = not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)) ),
    inference(resolution,[],[f188,f556]) ).

fof(f188,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,f161]) ).

fof(f161,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(f731,plain,
    ( unordered_pair(unordered_pair(first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)))))) = not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),universal_class) ),
    inference(resolution,[],[f725,f275]) ).

fof(f189,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,f161]) ).

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

fof(f1208,plain,
    ( z = second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)))
    | member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),universal_class) ),
    inference(resolution,[],[f1150,f275]) ).

fof(f757,plain,
    ! [X0,X1] :
      ( member(second(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class))),universal_class)
      | ~ member(not_subclass_element(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class)),complement(universal_class)),cross_product(X0,X1)) ),
    inference(resolution,[],[f736,f275]) ).

fof(f1263,plain,
    member(not_subclass_element(complement(universal_class),intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),not_subclass_element(domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),universal_class))),universal_class),
    inference(resolution,[],[f1259,f275]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM058-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 05:52:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.55  % (29857)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)
% 0.20/0.56  % (29858)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56  % (29859)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56  % (29866)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)
% 0.20/0.56  % (29875)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.57  % (29874)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)
% 0.20/0.57  % (29867)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)
% 0.20/0.57  % (29859)Instruction limit reached!
% 0.20/0.57  % (29859)------------------------------
% 0.20/0.57  % (29859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (29859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (29859)Termination reason: Unknown
% 0.20/0.57  % (29859)Termination phase: Function definition elimination
% 0.20/0.57  
% 0.20/0.57  % (29859)Memory used [KB]: 1023
% 0.20/0.57  % (29859)Time elapsed: 0.003 s
% 0.20/0.57  % (29859)Instructions burned: 2 (million)
% 0.20/0.57  % (29859)------------------------------
% 0.20/0.57  % (29859)------------------------------
% 0.20/0.57  % (29858)Instruction limit reached!
% 0.20/0.57  % (29858)------------------------------
% 0.20/0.57  % (29858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (29858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (29858)Termination reason: Unknown
% 0.20/0.57  % (29858)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (29858)Memory used [KB]: 5628
% 0.20/0.57  % (29858)Time elapsed: 0.007 s
% 0.20/0.57  % (29858)Instructions burned: 7 (million)
% 0.20/0.57  % (29858)------------------------------
% 0.20/0.57  % (29858)------------------------------
% 0.20/0.58  % (29865)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)
% 0.20/0.58  % (29873)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)
% 1.82/0.60  % (29854)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)
% 1.82/0.61  % (29876)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.82/0.62  % (29868)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.82/0.62  % (29870)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)
% 1.82/0.62  % (29871)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)
% 1.82/0.63  % (29860)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)
% 1.82/0.63  % (29863)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.82/0.63  % (29852)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)
% 1.82/0.63  % (29855)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.82/0.64  % (29862)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)
% 1.82/0.64  % (29853)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)
% 2.16/0.64  % (29878)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)
% 2.16/0.64  % (29879)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.16/0.65  % (29877)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)
% 2.16/0.65  % (29857)Instruction limit reached!
% 2.16/0.65  % (29857)------------------------------
% 2.16/0.65  % (29857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.65  % (29857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.65  % (29857)Termination reason: Unknown
% 2.16/0.65  % (29857)Termination phase: Finite model building preprocessing
% 2.16/0.65  
% 2.16/0.65  % (29857)Memory used [KB]: 1791
% 2.16/0.65  % (29857)Time elapsed: 0.034 s
% 2.16/0.65  % (29857)Instructions burned: 51 (million)
% 2.16/0.65  % (29857)------------------------------
% 2.16/0.65  % (29857)------------------------------
% 2.16/0.66  % (29869)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.16/0.66  % (29861)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.16/0.67  % (29851)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)
% 2.16/0.67  % (29856)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)
% 2.16/0.68  % (29880)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)
% 2.16/0.68  % (29872)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.16/0.70  % (29865)Instruction limit reached!
% 2.16/0.70  % (29865)------------------------------
% 2.16/0.70  % (29865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.70  % (29865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.70  % (29865)Termination reason: Unknown
% 2.16/0.70  % (29865)Termination phase: Saturation
% 2.16/0.70  
% 2.16/0.70  % (29865)Memory used [KB]: 7036
% 2.16/0.70  % (29865)Time elapsed: 0.079 s
% 2.16/0.70  % (29865)Instructions burned: 68 (million)
% 2.16/0.70  % (29865)------------------------------
% 2.16/0.70  % (29865)------------------------------
% 2.16/0.70  % (29864)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.16/0.73  % (29853)Instruction limit reached!
% 2.16/0.73  % (29853)------------------------------
% 2.16/0.73  % (29853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.73  % (29853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.73  % (29853)Termination reason: Unknown
% 2.16/0.73  % (29853)Termination phase: Saturation
% 2.16/0.73  
% 2.16/0.73  % (29853)Memory used [KB]: 1791
% 2.16/0.73  % (29853)Time elapsed: 0.298 s
% 2.16/0.73  % (29853)Instructions burned: 37 (million)
% 2.16/0.73  % (29853)------------------------------
% 2.16/0.73  % (29853)------------------------------
% 2.16/0.74  % (29873)First to succeed.
% 2.83/0.74  % (29855)Instruction limit reached!
% 2.83/0.74  % (29855)------------------------------
% 2.83/0.74  % (29855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.74  % (29855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.74  % (29855)Termination reason: Unknown
% 2.83/0.74  % (29855)Termination phase: Saturation
% 2.83/0.74  
% 2.83/0.74  % (29855)Memory used [KB]: 6396
% 2.83/0.74  % (29855)Time elapsed: 0.306 s
% 2.83/0.74  % (29855)Instructions burned: 51 (million)
% 2.83/0.74  % (29855)------------------------------
% 2.83/0.74  % (29855)------------------------------
% 2.83/0.75  % (29873)Refutation found. Thanks to Tanya!
% 2.83/0.75  % SZS status Unsatisfiable for theBenchmark
% 2.83/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 2.83/0.75  % (29873)------------------------------
% 2.83/0.75  % (29873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.75  % (29873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.75  % (29873)Termination reason: Refutation
% 2.83/0.75  
% 2.83/0.75  % (29873)Memory used [KB]: 2302
% 2.83/0.75  % (29873)Time elapsed: 0.307 s
% 2.83/0.75  % (29873)Instructions burned: 136 (million)
% 2.83/0.75  % (29873)------------------------------
% 2.83/0.75  % (29873)------------------------------
% 2.83/0.75  % (29850)Success in time 0.388 s
%------------------------------------------------------------------------------