TSTP Solution File: SEU270+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU270+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 May 31 12:36:32 EDT 2023

% Result   : Theorem 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   70 (   7 unt;   0 def)
%            Number of atoms       :  330 (  29 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives :  443 ( 183   ~; 194   |;  46   &)
%                                         (  10 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-2 aty)
%            Number of variables   :  142 (; 133   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [A,B] :
      ( ( ordinal(A)
        & ordinal(B) )
     => ( ordinal_subset(A,B)
        | ordinal_subset(B,A) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [A] :
      ( relation(A)
     => ( connected(A)
      <=> is_connected_in(A,relation_field(A)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [A,B] :
      ( relation(B)
     => ( B = inclusion_relation(A)
      <=> ( relation_field(B) = A
          & ! [C,D] :
              ( ( in(C,A)
                & in(D,A) )
             => ( in(ordered_pair(C,D),B)
              <=> subset(C,D) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [A] :
      ( relation(A)
     => ! [B] :
          ( is_connected_in(A,B)
        <=> ! [C,D] :
              ~ ( in(C,B)
                & in(D,B)
                & C != D
                & ~ in(ordered_pair(C,D),A)
                & ~ in(ordered_pair(D,C),A) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [A] : relation(inclusion_relation(A)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f42,axiom,
    ! [A,B] :
      ( ( ordinal(A)
        & ordinal(B) )
     => ( ordinal_subset(A,B)
      <=> subset(A,B) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,axiom,
    ! [A,B] :
      ( ordinal(B)
     => ( in(A,B)
       => ordinal(A) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f51,conjecture,
    ! [A] :
      ( ordinal(A)
     => connected(inclusion_relation(A)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f52,negated_conjecture,
    ~ ! [A] :
        ( ordinal(A)
       => connected(inclusion_relation(A)) ),
    inference(negated_conjecture,[status(cth)],[f51]) ).

fof(f76,plain,
    ! [A,B] :
      ( ~ ordinal(A)
      | ~ ordinal(B)
      | ordinal_subset(A,B)
      | ordinal_subset(B,A) ),
    inference(pre_NNF_transformation,[status(esa)],[f9]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | ordinal_subset(X0,X1)
      | ordinal_subset(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f76]) ).

fof(f78,plain,
    ! [A] :
      ( ~ relation(A)
      | ( connected(A)
      <=> is_connected_in(A,relation_field(A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f79,plain,
    ! [A] :
      ( ~ relation(A)
      | ( ( ~ connected(A)
          | is_connected_in(A,relation_field(A)) )
        & ( connected(A)
          | ~ is_connected_in(A,relation_field(A)) ) ) ),
    inference(NNF_transformation,[status(esa)],[f78]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ relation(X0)
      | connected(X0)
      | ~ is_connected_in(X0,relation_field(X0)) ),
    inference(cnf_transformation,[status(esa)],[f79]) ).

fof(f82,plain,
    ! [A,B] :
      ( ~ relation(B)
      | ( B = inclusion_relation(A)
      <=> ( relation_field(B) = A
          & ! [C,D] :
              ( ~ in(C,A)
              | ~ in(D,A)
              | ( in(ordered_pair(C,D),B)
              <=> subset(C,D) ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f83,plain,
    ! [A,B] :
      ( ~ relation(B)
      | ( ( B != inclusion_relation(A)
          | ( relation_field(B) = A
            & ! [C,D] :
                ( ~ in(C,A)
                | ~ in(D,A)
                | ( ( ~ in(ordered_pair(C,D),B)
                    | subset(C,D) )
                  & ( in(ordered_pair(C,D),B)
                    | ~ subset(C,D) ) ) ) ) )
        & ( B = inclusion_relation(A)
          | relation_field(B) != A
          | ? [C,D] :
              ( in(C,A)
              & in(D,A)
              & ( ~ in(ordered_pair(C,D),B)
                | ~ subset(C,D) )
              & ( in(ordered_pair(C,D),B)
                | subset(C,D) ) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f82]) ).

fof(f84,plain,
    ! [B] :
      ( ~ relation(B)
      | ( ! [A] :
            ( B != inclusion_relation(A)
            | ( relation_field(B) = A
              & ! [C,D] :
                  ( ~ in(C,A)
                  | ~ in(D,A)
                  | ( ( ~ in(ordered_pair(C,D),B)
                      | subset(C,D) )
                    & ( in(ordered_pair(C,D),B)
                      | ~ subset(C,D) ) ) ) ) )
        & ! [A] :
            ( B = inclusion_relation(A)
            | relation_field(B) != A
            | ? [C,D] :
                ( in(C,A)
                & in(D,A)
                & ( ~ in(ordered_pair(C,D),B)
                  | ~ subset(C,D) )
                & ( in(ordered_pair(C,D),B)
                  | subset(C,D) ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f83]) ).

fof(f85,plain,
    ! [B] :
      ( ~ relation(B)
      | ( ! [A] :
            ( B != inclusion_relation(A)
            | ( relation_field(B) = A
              & ! [C,D] :
                  ( ~ in(C,A)
                  | ~ in(D,A)
                  | ( ( ~ in(ordered_pair(C,D),B)
                      | subset(C,D) )
                    & ( in(ordered_pair(C,D),B)
                      | ~ subset(C,D) ) ) ) ) )
        & ! [A] :
            ( B = inclusion_relation(A)
            | relation_field(B) != A
            | ( in(sk0_0(A,B),A)
              & in(sk0_1(A,B),A)
              & ( ~ in(ordered_pair(sk0_0(A,B),sk0_1(A,B)),B)
                | ~ subset(sk0_0(A,B),sk0_1(A,B)) )
              & ( in(ordered_pair(sk0_0(A,B),sk0_1(A,B)),B)
                | subset(sk0_0(A,B),sk0_1(A,B)) ) ) ) ) ),
    inference(skolemization,[status(esa)],[f84]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | X0 != inclusion_relation(X1)
      | relation_field(X0) = X1 ),
    inference(cnf_transformation,[status(esa)],[f85]) ).

fof(f88,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | X0 != inclusion_relation(X1)
      | ~ in(X2,X1)
      | ~ in(X3,X1)
      | in(ordered_pair(X2,X3),X0)
      | ~ subset(X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f85]) ).

fof(f96,plain,
    ! [A] :
      ( ~ relation(A)
      | ! [B] :
          ( is_connected_in(A,B)
        <=> ! [C,D] :
              ( ~ in(C,B)
              | ~ in(D,B)
              | C = D
              | in(ordered_pair(C,D),A)
              | in(ordered_pair(D,C),A) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f14]) ).

fof(f97,plain,
    ! [A] :
      ( ~ relation(A)
      | ! [B] :
          ( ( ~ is_connected_in(A,B)
            | ! [C,D] :
                ( ~ in(C,B)
                | ~ in(D,B)
                | C = D
                | in(ordered_pair(C,D),A)
                | in(ordered_pair(D,C),A) ) )
          & ( is_connected_in(A,B)
            | ? [C,D] :
                ( in(C,B)
                & in(D,B)
                & C != D
                & ~ in(ordered_pair(C,D),A)
                & ~ in(ordered_pair(D,C),A) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f96]) ).

fof(f98,plain,
    ! [A] :
      ( ~ relation(A)
      | ( ! [B] :
            ( ~ is_connected_in(A,B)
            | ! [C,D] :
                ( ~ in(C,B)
                | ~ in(D,B)
                | C = D
                | in(ordered_pair(C,D),A)
                | in(ordered_pair(D,C),A) ) )
        & ! [B] :
            ( is_connected_in(A,B)
            | ? [C,D] :
                ( in(C,B)
                & in(D,B)
                & C != D
                & ~ in(ordered_pair(C,D),A)
                & ~ in(ordered_pair(D,C),A) ) ) ) ),
    inference(miniscoping,[status(esa)],[f97]) ).

fof(f99,plain,
    ! [A] :
      ( ~ relation(A)
      | ( ! [B] :
            ( ~ is_connected_in(A,B)
            | ! [C,D] :
                ( ~ in(C,B)
                | ~ in(D,B)
                | C = D
                | in(ordered_pair(C,D),A)
                | in(ordered_pair(D,C),A) ) )
        & ! [B] :
            ( is_connected_in(A,B)
            | ( in(sk0_2(B,A),B)
              & in(sk0_3(B,A),B)
              & sk0_2(B,A) != sk0_3(B,A)
              & ~ in(ordered_pair(sk0_2(B,A),sk0_3(B,A)),A)
              & ~ in(ordered_pair(sk0_3(B,A),sk0_2(B,A)),A) ) ) ) ),
    inference(skolemization,[status(esa)],[f98]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | is_connected_in(X0,X1)
      | in(sk0_2(X1,X0),X1) ),
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | is_connected_in(X0,X1)
      | in(sk0_3(X1,X0),X1) ),
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | is_connected_in(X0,X1)
      | ~ in(ordered_pair(sk0_2(X1,X0),sk0_3(X1,X0)),X0) ),
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | is_connected_in(X0,X1)
      | ~ in(ordered_pair(sk0_3(X1,X0),sk0_2(X1,X0)),X0) ),
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f106,plain,
    ! [X0] : relation(inclusion_relation(X0)),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f163,plain,
    ! [A,B] :
      ( ~ ordinal(A)
      | ~ ordinal(B)
      | ( ordinal_subset(A,B)
      <=> subset(A,B) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f42]) ).

fof(f164,plain,
    ! [A,B] :
      ( ~ ordinal(A)
      | ~ ordinal(B)
      | ( ( ~ ordinal_subset(A,B)
          | subset(A,B) )
        & ( ordinal_subset(A,B)
          | ~ subset(A,B) ) ) ),
    inference(NNF_transformation,[status(esa)],[f163]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ ordinal_subset(X0,X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f164]) ).

fof(f175,plain,
    ! [A,B] :
      ( ~ ordinal(B)
      | ~ in(A,B)
      | ordinal(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f47]) ).

fof(f176,plain,
    ! [B] :
      ( ~ ordinal(B)
      | ! [A] :
          ( ~ in(A,B)
          | ordinal(A) ) ),
    inference(miniscoping,[status(esa)],[f175]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ in(X1,X0)
      | ordinal(X1) ),
    inference(cnf_transformation,[status(esa)],[f176]) ).

fof(f187,plain,
    ? [A] :
      ( ordinal(A)
      & ~ connected(inclusion_relation(A)) ),
    inference(pre_NNF_transformation,[status(esa)],[f52]) ).

fof(f188,plain,
    ( ordinal(sk0_14)
    & ~ connected(inclusion_relation(sk0_14)) ),
    inference(skolemization,[status(esa)],[f187]) ).

fof(f189,plain,
    ordinal(sk0_14),
    inference(cnf_transformation,[status(esa)],[f188]) ).

fof(f190,plain,
    ~ connected(inclusion_relation(sk0_14)),
    inference(cnf_transformation,[status(esa)],[f188]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ relation(inclusion_relation(X0))
      | relation_field(inclusion_relation(X0)) = X0 ),
    inference(destructive_equality_resolution,[status(esa)],[f86]) ).

fof(f211,plain,
    ! [X0,X1,X2] :
      ( ~ relation(inclusion_relation(X0))
      | ~ in(X1,X0)
      | ~ in(X2,X0)
      | in(ordered_pair(X1,X2),inclusion_relation(X0))
      | ~ subset(X1,X2) ),
    inference(destructive_equality_resolution,[status(esa)],[f88]) ).

fof(f217,plain,
    ! [X0,X1,X2] :
      ( ~ in(X0,X1)
      | ~ in(X2,X1)
      | in(ordered_pair(X0,X2),inclusion_relation(X1))
      | ~ subset(X0,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f211,f106]) ).

fof(f379,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X1,X0) ),
    inference(resolution,[status(thm)],[f165,f77]) ).

fof(f380,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | ~ ordinal(X1)
      | subset(X0,X1)
      | ordinal_subset(X1,X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f379]) ).

fof(f407,plain,
    ! [X0,X1] :
      ( ~ relation(inclusion_relation(X0))
      | is_connected_in(inclusion_relation(X0),X1)
      | ~ in(sk0_2(X1,inclusion_relation(X0)),X0)
      | ~ in(sk0_3(X1,inclusion_relation(X0)),X0)
      | ~ subset(sk0_2(X1,inclusion_relation(X0)),sk0_3(X1,inclusion_relation(X0))) ),
    inference(resolution,[status(thm)],[f104,f217]) ).

fof(f408,plain,
    ! [X0,X1] :
      ( is_connected_in(inclusion_relation(X0),X1)
      | ~ in(sk0_2(X1,inclusion_relation(X0)),X0)
      | ~ in(sk0_3(X1,inclusion_relation(X0)),X0)
      | ~ subset(sk0_2(X1,inclusion_relation(X0)),sk0_3(X1,inclusion_relation(X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f407,f106]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( is_connected_in(inclusion_relation(X0),X1)
      | ~ in(sk0_2(X1,inclusion_relation(X0)),X0)
      | ~ in(sk0_3(X1,inclusion_relation(X0)),X0)
      | ~ ordinal(sk0_2(X1,inclusion_relation(X0)))
      | ~ ordinal(sk0_3(X1,inclusion_relation(X0)))
      | ordinal_subset(sk0_3(X1,inclusion_relation(X0)),sk0_2(X1,inclusion_relation(X0))) ),
    inference(resolution,[status(thm)],[f408,f380]) ).

fof(f410,plain,
    ! [X0,X1] :
      ( is_connected_in(inclusion_relation(X0),X1)
      | ~ in(sk0_2(X1,inclusion_relation(X0)),X0)
      | ~ in(sk0_3(X1,inclusion_relation(X0)),X0)
      | ~ ordinal(sk0_2(X1,inclusion_relation(X0)))
      | ~ ordinal(sk0_3(X1,inclusion_relation(X0)))
      | ~ ordinal(sk0_3(X1,inclusion_relation(X0)))
      | ~ ordinal(sk0_2(X1,inclusion_relation(X0)))
      | subset(sk0_3(X1,inclusion_relation(X0)),sk0_2(X1,inclusion_relation(X0))) ),
    inference(resolution,[status(thm)],[f409,f165]) ).

fof(f411,plain,
    ! [X0,X1] :
      ( is_connected_in(inclusion_relation(X0),X1)
      | ~ in(sk0_2(X1,inclusion_relation(X0)),X0)
      | ~ in(sk0_3(X1,inclusion_relation(X0)),X0)
      | ~ ordinal(sk0_2(X1,inclusion_relation(X0)))
      | ~ ordinal(sk0_3(X1,inclusion_relation(X0)))
      | subset(sk0_3(X1,inclusion_relation(X0)),sk0_2(X1,inclusion_relation(X0))) ),
    inference(duplicate_literals_removal,[status(esa)],[f410]) ).

fof(f415,plain,
    ! [X0,X1] :
      ( ~ relation(inclusion_relation(X0))
      | is_connected_in(inclusion_relation(X0),X1)
      | ~ in(sk0_3(X1,inclusion_relation(X0)),X0)
      | ~ in(sk0_2(X1,inclusion_relation(X0)),X0)
      | ~ subset(sk0_3(X1,inclusion_relation(X0)),sk0_2(X1,inclusion_relation(X0))) ),
    inference(resolution,[status(thm)],[f105,f217]) ).

fof(f416,plain,
    ! [X0,X1] :
      ( is_connected_in(inclusion_relation(X0),X1)
      | ~ in(sk0_3(X1,inclusion_relation(X0)),X0)
      | ~ in(sk0_2(X1,inclusion_relation(X0)),X0)
      | ~ subset(sk0_3(X1,inclusion_relation(X0)),sk0_2(X1,inclusion_relation(X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f415,f106]) ).

fof(f417,plain,
    ! [X0,X1] :
      ( is_connected_in(inclusion_relation(X0),X1)
      | ~ in(sk0_2(X1,inclusion_relation(X0)),X0)
      | ~ in(sk0_3(X1,inclusion_relation(X0)),X0)
      | ~ ordinal(sk0_2(X1,inclusion_relation(X0)))
      | ~ ordinal(sk0_3(X1,inclusion_relation(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[f411,f416]) ).

fof(f419,plain,
    ! [X0] : relation_field(inclusion_relation(X0)) = X0,
    inference(forward_subsumption_resolution,[status(thm)],[f209,f106]) ).

fof(f420,plain,
    ! [X0] :
      ( ~ relation(inclusion_relation(X0))
      | connected(inclusion_relation(X0))
      | ~ is_connected_in(inclusion_relation(X0),X0) ),
    inference(paramodulation,[status(thm)],[f419,f81]) ).

fof(f421,plain,
    ! [X0] :
      ( connected(inclusion_relation(X0))
      | ~ is_connected_in(inclusion_relation(X0),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f420,f106]) ).

fof(f609,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | is_connected_in(X0,X1)
      | ~ ordinal(X1)
      | ordinal(sk0_2(X1,X0)) ),
    inference(resolution,[status(thm)],[f101,f177]) ).

fof(f610,plain,
    ! [X0] :
      ( ~ relation(inclusion_relation(X0))
      | is_connected_in(inclusion_relation(X0),X0)
      | is_connected_in(inclusion_relation(X0),X0)
      | ~ in(sk0_2(X0,inclusion_relation(X0)),X0)
      | ~ ordinal(sk0_2(X0,inclusion_relation(X0)))
      | ~ ordinal(sk0_3(X0,inclusion_relation(X0))) ),
    inference(resolution,[status(thm)],[f102,f417]) ).

fof(f611,plain,
    ! [X0] :
      ( ~ relation(inclusion_relation(X0))
      | is_connected_in(inclusion_relation(X0),X0)
      | ~ in(sk0_2(X0,inclusion_relation(X0)),X0)
      | ~ ordinal(sk0_2(X0,inclusion_relation(X0)))
      | ~ ordinal(sk0_3(X0,inclusion_relation(X0))) ),
    inference(duplicate_literals_removal,[status(esa)],[f610]) ).

fof(f612,plain,
    ! [X0] :
      ( is_connected_in(inclusion_relation(X0),X0)
      | ~ in(sk0_2(X0,inclusion_relation(X0)),X0)
      | ~ ordinal(sk0_2(X0,inclusion_relation(X0)))
      | ~ ordinal(sk0_3(X0,inclusion_relation(X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f611,f106]) ).

fof(f620,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | is_connected_in(X0,X1)
      | ~ ordinal(X1)
      | ordinal(sk0_3(X1,X0)) ),
    inference(resolution,[status(thm)],[f102,f177]) ).

fof(f721,plain,
    ! [X0] :
      ( is_connected_in(inclusion_relation(X0),X0)
      | ~ ordinal(sk0_2(X0,inclusion_relation(X0)))
      | ~ ordinal(sk0_3(X0,inclusion_relation(X0)))
      | ~ relation(inclusion_relation(X0))
      | is_connected_in(inclusion_relation(X0),X0) ),
    inference(resolution,[status(thm)],[f612,f101]) ).

fof(f722,plain,
    ! [X0] :
      ( is_connected_in(inclusion_relation(X0),X0)
      | ~ ordinal(sk0_2(X0,inclusion_relation(X0)))
      | ~ ordinal(sk0_3(X0,inclusion_relation(X0)))
      | ~ relation(inclusion_relation(X0)) ),
    inference(duplicate_literals_removal,[status(esa)],[f721]) ).

fof(f723,plain,
    ! [X0] :
      ( is_connected_in(inclusion_relation(X0),X0)
      | ~ ordinal(sk0_2(X0,inclusion_relation(X0)))
      | ~ ordinal(sk0_3(X0,inclusion_relation(X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f722,f106]) ).

fof(f725,plain,
    ! [X0] :
      ( is_connected_in(inclusion_relation(X0),X0)
      | ~ ordinal(sk0_2(X0,inclusion_relation(X0)))
      | ~ relation(inclusion_relation(X0))
      | is_connected_in(inclusion_relation(X0),X0)
      | ~ ordinal(X0) ),
    inference(resolution,[status(thm)],[f723,f620]) ).

fof(f726,plain,
    ! [X0] :
      ( is_connected_in(inclusion_relation(X0),X0)
      | ~ ordinal(sk0_2(X0,inclusion_relation(X0)))
      | ~ relation(inclusion_relation(X0))
      | ~ ordinal(X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f725]) ).

fof(f727,plain,
    ! [X0] :
      ( is_connected_in(inclusion_relation(X0),X0)
      | ~ relation(inclusion_relation(X0))
      | ~ ordinal(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f726,f609]) ).

fof(f728,plain,
    ! [X0] :
      ( is_connected_in(inclusion_relation(X0),X0)
      | ~ ordinal(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f727,f106]) ).

fof(f729,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | connected(inclusion_relation(X0)) ),
    inference(resolution,[status(thm)],[f728,f421]) ).

fof(f730,plain,
    ~ ordinal(sk0_14),
    inference(resolution,[status(thm)],[f729,f190]) ).

fof(f731,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f730,f189]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU270+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n004.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 09:12:37 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Drodi V3.5.1
% 0.16/0.44  % Refutation found
% 0.16/0.44  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.44  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.46  % Elapsed time: 0.137005 seconds
% 0.16/0.46  % CPU time: 0.662314 seconds
% 0.16/0.46  % Memory used: 64.741 MB
%------------------------------------------------------------------------------