TSTP Solution File: SEU190+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU190+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:41:25 EDT 2024

% Result   : Theorem 57.86s 7.72s
% Output   : CNFRefutation 58.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   78 (   7 unt;   0 def)
%            Number of atoms       :  300 ( 109 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  349 ( 127   ~; 168   |;  37   &)
%                                         (  14 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   2 con; 0-3 aty)
%            Number of variables   :  191 ( 168   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [A,B] :
      ( relation(B)
     => ( B = identity_relation(A)
      <=> ! [C,D] :
            ( in(ordered_pair(C,D),B)
          <=> ( in(C,A)
              & C = D ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A] :
      ( relation(A)
     => ! [B] :
          ( B = relation_dom(A)
        <=> ! [C] :
              ( in(C,B)
            <=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] :
      ( relation(A)
     => ! [B] :
          ( B = relation_rng(A)
        <=> ! [C] :
              ( in(C,B)
            <=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [A] : relation(identity_relation(A)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,conjecture,
    ! [A] :
      ( relation_dom(identity_relation(A)) = A
      & relation_rng(identity_relation(A)) = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,negated_conjecture,
    ~ ! [A] :
        ( relation_dom(identity_relation(A)) = A
        & relation_rng(identity_relation(A)) = A ),
    inference(negated_conjecture,[status(cth)],[f34]) ).

fof(f43,plain,
    ! [A,B] :
      ( ~ relation(B)
      | ( B = identity_relation(A)
      <=> ! [C,D] :
            ( in(ordered_pair(C,D),B)
          <=> ( in(C,A)
              & C = D ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f44,plain,
    ! [A,B] :
      ( ~ relation(B)
      | ( ( B != identity_relation(A)
          | ! [C,D] :
              ( ( ~ in(ordered_pair(C,D),B)
                | ( in(C,A)
                  & C = D ) )
              & ( in(ordered_pair(C,D),B)
                | ~ in(C,A)
                | C != D ) ) )
        & ( B = identity_relation(A)
          | ? [C,D] :
              ( ( ~ in(ordered_pair(C,D),B)
                | ~ in(C,A)
                | C != D )
              & ( in(ordered_pair(C,D),B)
                | ( in(C,A)
                  & C = D ) ) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f43]) ).

fof(f45,plain,
    ! [B] :
      ( ~ relation(B)
      | ( ! [A] :
            ( B != identity_relation(A)
            | ( ! [C,D] :
                  ( ~ in(ordered_pair(C,D),B)
                  | ( in(C,A)
                    & C = D ) )
              & ! [C,D] :
                  ( in(ordered_pair(C,D),B)
                  | ~ in(C,A)
                  | C != D ) ) )
        & ! [A] :
            ( B = identity_relation(A)
            | ? [C,D] :
                ( ( ~ in(ordered_pair(C,D),B)
                  | ~ in(C,A)
                  | C != D )
                & ( in(ordered_pair(C,D),B)
                  | ( in(C,A)
                    & C = D ) ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f44]) ).

fof(f46,plain,
    ! [B] :
      ( ~ relation(B)
      | ( ! [A] :
            ( B != identity_relation(A)
            | ( ! [C,D] :
                  ( ~ in(ordered_pair(C,D),B)
                  | ( in(C,A)
                    & C = D ) )
              & ! [C,D] :
                  ( in(ordered_pair(C,D),B)
                  | ~ in(C,A)
                  | C != D ) ) )
        & ! [A] :
            ( B = identity_relation(A)
            | ( ( ~ in(ordered_pair(sk0_0(A,B),sk0_1(A,B)),B)
                | ~ in(sk0_0(A,B),A)
                | sk0_0(A,B) != sk0_1(A,B) )
              & ( in(ordered_pair(sk0_0(A,B),sk0_1(A,B)),B)
                | ( in(sk0_0(A,B),A)
                  & sk0_0(A,B) = sk0_1(A,B) ) ) ) ) ) ),
    inference(skolemization,[status(esa)],[f45]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | X0 != identity_relation(X1)
      | ~ in(ordered_pair(X2,X3),X0)
      | in(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | X0 != identity_relation(X1)
      | ~ in(ordered_pair(X2,X3),X0)
      | X2 = X3 ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | X0 != identity_relation(X1)
      | in(ordered_pair(X2,X3),X0)
      | ~ in(X2,X1)
      | X2 != X3 ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f53,plain,
    ! [A] :
      ( ~ relation(A)
      | ! [B] :
          ( B = relation_dom(A)
        <=> ! [C] :
              ( in(C,B)
            <=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f54,plain,
    ! [A] :
      ( ~ relation(A)
      | ! [B] :
          ( ( B != relation_dom(A)
            | ! [C] :
                ( ( ~ in(C,B)
                  | ? [D] : in(ordered_pair(C,D),A) )
                & ( in(C,B)
                  | ! [D] : ~ in(ordered_pair(C,D),A) ) ) )
          & ( B = relation_dom(A)
            | ? [C] :
                ( ( ~ in(C,B)
                  | ! [D] : ~ in(ordered_pair(C,D),A) )
                & ( in(C,B)
                  | ? [D] : in(ordered_pair(C,D),A) ) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f53]) ).

fof(f55,plain,
    ! [A] :
      ( ~ relation(A)
      | ( ! [B] :
            ( B != relation_dom(A)
            | ( ! [C] :
                  ( ~ in(C,B)
                  | ? [D] : in(ordered_pair(C,D),A) )
              & ! [C] :
                  ( in(C,B)
                  | ! [D] : ~ in(ordered_pair(C,D),A) ) ) )
        & ! [B] :
            ( B = relation_dom(A)
            | ? [C] :
                ( ( ~ in(C,B)
                  | ! [D] : ~ in(ordered_pair(C,D),A) )
                & ( in(C,B)
                  | ? [D] : in(ordered_pair(C,D),A) ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f54]) ).

fof(f56,plain,
    ! [A] :
      ( ~ relation(A)
      | ( ! [B] :
            ( B != relation_dom(A)
            | ( ! [C] :
                  ( ~ in(C,B)
                  | in(ordered_pair(C,sk0_2(C,B,A)),A) )
              & ! [C] :
                  ( in(C,B)
                  | ! [D] : ~ in(ordered_pair(C,D),A) ) ) )
        & ! [B] :
            ( B = relation_dom(A)
            | ( ( ~ in(sk0_3(B,A),B)
                | ! [D] : ~ in(ordered_pair(sk0_3(B,A),D),A) )
              & ( in(sk0_3(B,A),B)
                | in(ordered_pair(sk0_3(B,A),sk0_4(B,A)),A) ) ) ) ) ),
    inference(skolemization,[status(esa)],[f55]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X0)
      | X1 = relation_dom(X0)
      | ~ in(sk0_3(X1,X0),X1)
      | ~ in(ordered_pair(sk0_3(X1,X0),X2),X0) ),
    inference(cnf_transformation,[status(esa)],[f56]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | X1 = relation_dom(X0)
      | in(sk0_3(X1,X0),X1)
      | in(ordered_pair(sk0_3(X1,X0),sk0_4(X1,X0)),X0) ),
    inference(cnf_transformation,[status(esa)],[f56]) ).

fof(f61,plain,
    ! [A] :
      ( ~ relation(A)
      | ! [B] :
          ( B = relation_rng(A)
        <=> ! [C] :
              ( in(C,B)
            <=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f62,plain,
    ! [A] :
      ( ~ relation(A)
      | ! [B] :
          ( ( B != relation_rng(A)
            | ! [C] :
                ( ( ~ in(C,B)
                  | ? [D] : in(ordered_pair(D,C),A) )
                & ( in(C,B)
                  | ! [D] : ~ in(ordered_pair(D,C),A) ) ) )
          & ( B = relation_rng(A)
            | ? [C] :
                ( ( ~ in(C,B)
                  | ! [D] : ~ in(ordered_pair(D,C),A) )
                & ( in(C,B)
                  | ? [D] : in(ordered_pair(D,C),A) ) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f61]) ).

fof(f63,plain,
    ! [A] :
      ( ~ relation(A)
      | ( ! [B] :
            ( B != relation_rng(A)
            | ( ! [C] :
                  ( ~ in(C,B)
                  | ? [D] : in(ordered_pair(D,C),A) )
              & ! [C] :
                  ( in(C,B)
                  | ! [D] : ~ in(ordered_pair(D,C),A) ) ) )
        & ! [B] :
            ( B = relation_rng(A)
            | ? [C] :
                ( ( ~ in(C,B)
                  | ! [D] : ~ in(ordered_pair(D,C),A) )
                & ( in(C,B)
                  | ? [D] : in(ordered_pair(D,C),A) ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f62]) ).

fof(f64,plain,
    ! [A] :
      ( ~ relation(A)
      | ( ! [B] :
            ( B != relation_rng(A)
            | ( ! [C] :
                  ( ~ in(C,B)
                  | in(ordered_pair(sk0_5(C,B,A),C),A) )
              & ! [C] :
                  ( in(C,B)
                  | ! [D] : ~ in(ordered_pair(D,C),A) ) ) )
        & ! [B] :
            ( B = relation_rng(A)
            | ( ( ~ in(sk0_6(B,A),B)
                | ! [D] : ~ in(ordered_pair(D,sk0_6(B,A)),A) )
              & ( in(sk0_6(B,A),B)
                | in(ordered_pair(sk0_7(B,A),sk0_6(B,A)),A) ) ) ) ) ),
    inference(skolemization,[status(esa)],[f63]) ).

fof(f66,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | X1 != relation_rng(X0)
      | in(X2,X1)
      | ~ in(ordered_pair(X3,X2),X0) ),
    inference(cnf_transformation,[status(esa)],[f64]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X0)
      | X1 = relation_rng(X0)
      | ~ in(sk0_6(X1,X0),X1)
      | ~ in(ordered_pair(X2,sk0_6(X1,X0)),X0) ),
    inference(cnf_transformation,[status(esa)],[f64]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | X1 = relation_rng(X0)
      | in(sk0_6(X1,X0),X1)
      | in(ordered_pair(sk0_7(X1,X0),sk0_6(X1,X0)),X0) ),
    inference(cnf_transformation,[status(esa)],[f64]) ).

fof(f70,plain,
    ! [X0] : relation(identity_relation(X0)),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f110,plain,
    ? [A] :
      ( relation_dom(identity_relation(A)) != A
      | relation_rng(identity_relation(A)) != A ),
    inference(pre_NNF_transformation,[status(esa)],[f35]) ).

fof(f111,plain,
    ( ? [A] : relation_dom(identity_relation(A)) != A
    | ? [A] : relation_rng(identity_relation(A)) != A ),
    inference(miniscoping,[status(esa)],[f110]) ).

fof(f112,plain,
    ( relation_dom(identity_relation(sk0_14)) != sk0_14
    | relation_rng(identity_relation(sk0_15)) != sk0_15 ),
    inference(skolemization,[status(esa)],[f111]) ).

fof(f113,plain,
    ( relation_dom(identity_relation(sk0_14)) != sk0_14
    | relation_rng(identity_relation(sk0_15)) != sk0_15 ),
    inference(cnf_transformation,[status(esa)],[f112]) ).

fof(f120,plain,
    ( spl0_0
  <=> relation_dom(identity_relation(sk0_14)) = sk0_14 ),
    introduced(split_symbol_definition) ).

fof(f122,plain,
    ( relation_dom(identity_relation(sk0_14)) != sk0_14
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f120]) ).

fof(f123,plain,
    ( spl0_1
  <=> relation_rng(identity_relation(sk0_15)) = sk0_15 ),
    introduced(split_symbol_definition) ).

fof(f125,plain,
    ( relation_rng(identity_relation(sk0_15)) != sk0_15
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f123]) ).

fof(f126,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f113,f120,f123]) ).

fof(f127,plain,
    ! [X0,X1,X2] :
      ( ~ relation(identity_relation(X0))
      | ~ in(ordered_pair(X1,X2),identity_relation(X0))
      | in(X1,X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f47]) ).

fof(f128,plain,
    ! [X0,X1,X2] :
      ( ~ relation(identity_relation(X0))
      | ~ in(ordered_pair(X1,X2),identity_relation(X0))
      | X1 = X2 ),
    inference(destructive_equality_resolution,[status(esa)],[f48]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ relation(identity_relation(X0))
      | in(ordered_pair(X1,X1),identity_relation(X0))
      | ~ in(X1,X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f49]) ).

fof(f133,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X0)
      | in(X1,relation_rng(X0))
      | ~ in(ordered_pair(X2,X1),X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f66]) ).

fof(f134,plain,
    ! [X0,X1,X2] :
      ( ~ in(ordered_pair(X0,X1),identity_relation(X2))
      | in(X0,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f127,f70]) ).

fof(f135,plain,
    ! [X0,X1,X2] :
      ( ~ in(ordered_pair(X0,X1),identity_relation(X2))
      | X0 = X1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f128,f70]) ).

fof(f141,plain,
    ! [X0,X1,X2] :
      ( in(X0,relation_rng(identity_relation(X1)))
      | ~ in(ordered_pair(X2,X0),identity_relation(X1)) ),
    inference(resolution,[status(thm)],[f133,f70]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( in(ordered_pair(X0,X0),identity_relation(X1))
      | ~ in(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f129,f70]) ).

fof(f548,plain,
    ! [X0,X1,X2] :
      ( X0 = relation_dom(identity_relation(X1))
      | ~ in(sk0_3(X0,identity_relation(X1)),X0)
      | ~ in(ordered_pair(sk0_3(X0,identity_relation(X1)),X2),identity_relation(X1)) ),
    inference(resolution,[status(thm)],[f59,f70]) ).

fof(f558,plain,
    ! [X0,X1] :
      ( X0 = relation_dom(identity_relation(X1))
      | in(sk0_3(X0,identity_relation(X1)),X0)
      | in(ordered_pair(sk0_3(X0,identity_relation(X1)),sk0_4(X0,identity_relation(X1))),identity_relation(X1)) ),
    inference(resolution,[status(thm)],[f60,f70]) ).

fof(f576,plain,
    ! [X0,X1,X2] :
      ( X0 = relation_rng(identity_relation(X1))
      | ~ in(sk0_6(X0,identity_relation(X1)),X0)
      | ~ in(ordered_pair(X2,sk0_6(X0,identity_relation(X1))),identity_relation(X1)) ),
    inference(resolution,[status(thm)],[f67,f70]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( X0 = relation_rng(identity_relation(X1))
      | in(sk0_6(X0,identity_relation(X1)),X0)
      | in(ordered_pair(sk0_7(X0,identity_relation(X1)),sk0_6(X0,identity_relation(X1))),identity_relation(X1)) ),
    inference(resolution,[status(thm)],[f68,f70]) ).

fof(f1292,plain,
    ! [X0,X1] :
      ( X0 = relation_dom(identity_relation(X1))
      | ~ in(sk0_3(X0,identity_relation(X1)),X0)
      | ~ in(sk0_3(X0,identity_relation(X1)),X1) ),
    inference(resolution,[status(thm)],[f548,f142]) ).

fof(f1317,plain,
    ! [X0,X1] :
      ( X0 = relation_dom(identity_relation(X1))
      | in(sk0_3(X0,identity_relation(X1)),X0)
      | in(sk0_4(X0,identity_relation(X1)),relation_rng(identity_relation(X1))) ),
    inference(resolution,[status(thm)],[f558,f141]) ).

fof(f1319,plain,
    ! [X0,X1] :
      ( X0 = relation_dom(identity_relation(X1))
      | in(sk0_3(X0,identity_relation(X1)),X0)
      | sk0_3(X0,identity_relation(X1)) = sk0_4(X0,identity_relation(X1)) ),
    inference(resolution,[status(thm)],[f558,f135]) ).

fof(f1363,plain,
    ! [X0,X1] :
      ( X0 = relation_rng(identity_relation(X1))
      | ~ in(sk0_6(X0,identity_relation(X1)),X0)
      | ~ in(sk0_6(X0,identity_relation(X1)),X1) ),
    inference(resolution,[status(thm)],[f576,f142]) ).

fof(f1563,plain,
    ! [X0,X1] :
      ( X0 = relation_rng(identity_relation(X1))
      | in(sk0_6(X0,identity_relation(X1)),X0)
      | sk0_7(X0,identity_relation(X1)) = sk0_6(X0,identity_relation(X1)) ),
    inference(resolution,[status(thm)],[f586,f135]) ).

fof(f1564,plain,
    ! [X0,X1] :
      ( X0 = relation_rng(identity_relation(X1))
      | in(sk0_6(X0,identity_relation(X1)),X0)
      | in(sk0_7(X0,identity_relation(X1)),X1) ),
    inference(resolution,[status(thm)],[f586,f134]) ).

fof(f2979,plain,
    ! [X0] :
      ( X0 = relation_dom(identity_relation(X0))
      | sk0_3(X0,identity_relation(X0)) = sk0_4(X0,identity_relation(X0))
      | X0 = relation_dom(identity_relation(X0))
      | ~ in(sk0_3(X0,identity_relation(X0)),X0) ),
    inference(resolution,[status(thm)],[f1319,f1292]) ).

fof(f2980,plain,
    ! [X0] :
      ( X0 = relation_dom(identity_relation(X0))
      | sk0_3(X0,identity_relation(X0)) = sk0_4(X0,identity_relation(X0))
      | ~ in(sk0_3(X0,identity_relation(X0)),X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f2979]) ).

fof(f2981,plain,
    ! [X0] :
      ( X0 = relation_dom(identity_relation(X0))
      | sk0_3(X0,identity_relation(X0)) = sk0_4(X0,identity_relation(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2980,f1319]) ).

fof(f4677,plain,
    ! [X0] :
      ( X0 = relation_rng(identity_relation(X0))
      | sk0_7(X0,identity_relation(X0)) = sk0_6(X0,identity_relation(X0))
      | X0 = relation_rng(identity_relation(X0))
      | ~ in(sk0_6(X0,identity_relation(X0)),X0) ),
    inference(resolution,[status(thm)],[f1563,f1363]) ).

fof(f4678,plain,
    ! [X0] :
      ( X0 = relation_rng(identity_relation(X0))
      | sk0_7(X0,identity_relation(X0)) = sk0_6(X0,identity_relation(X0))
      | ~ in(sk0_6(X0,identity_relation(X0)),X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f4677]) ).

fof(f4679,plain,
    ! [X0] :
      ( X0 = relation_rng(identity_relation(X0))
      | sk0_7(X0,identity_relation(X0)) = sk0_6(X0,identity_relation(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4678,f1563]) ).

fof(f8107,plain,
    ! [X0] :
      ( X0 = relation_rng(identity_relation(X0))
      | in(sk0_6(X0,identity_relation(X0)),X0)
      | in(sk0_6(X0,identity_relation(X0)),X0)
      | X0 = relation_rng(identity_relation(X0)) ),
    inference(paramodulation,[status(thm)],[f4679,f1564]) ).

fof(f8108,plain,
    ! [X0] :
      ( X0 = relation_rng(identity_relation(X0))
      | in(sk0_6(X0,identity_relation(X0)),X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f8107]) ).

fof(f8116,plain,
    ! [X0] :
      ( X0 = relation_rng(identity_relation(X0))
      | X0 = relation_rng(identity_relation(X0))
      | ~ in(sk0_6(X0,identity_relation(X0)),X0) ),
    inference(resolution,[status(thm)],[f8108,f1363]) ).

fof(f8117,plain,
    ! [X0] :
      ( X0 = relation_rng(identity_relation(X0))
      | ~ in(sk0_6(X0,identity_relation(X0)),X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f8116]) ).

fof(f8118,plain,
    ! [X0] : X0 = relation_rng(identity_relation(X0)),
    inference(forward_subsumption_resolution,[status(thm)],[f8117,f8108]) ).

fof(f8301,plain,
    ! [X0,X1] :
      ( X0 = relation_dom(identity_relation(X1))
      | in(sk0_3(X0,identity_relation(X1)),X0)
      | in(sk0_4(X0,identity_relation(X1)),X1) ),
    inference(backward_demodulation,[status(thm)],[f8118,f1317]) ).

fof(f10403,plain,
    ! [X0] :
      ( X0 = relation_dom(identity_relation(X0))
      | in(sk0_3(X0,identity_relation(X0)),X0)
      | in(sk0_3(X0,identity_relation(X0)),X0)
      | X0 = relation_dom(identity_relation(X0)) ),
    inference(paramodulation,[status(thm)],[f2981,f8301]) ).

fof(f10404,plain,
    ! [X0] :
      ( X0 = relation_dom(identity_relation(X0))
      | in(sk0_3(X0,identity_relation(X0)),X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f10403]) ).

fof(f14121,plain,
    ! [X0] :
      ( X0 = relation_dom(identity_relation(X0))
      | X0 = relation_dom(identity_relation(X0))
      | ~ in(sk0_3(X0,identity_relation(X0)),X0) ),
    inference(resolution,[status(thm)],[f10404,f1292]) ).

fof(f14122,plain,
    ! [X0] :
      ( X0 = relation_dom(identity_relation(X0))
      | ~ in(sk0_3(X0,identity_relation(X0)),X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f14121]) ).

fof(f14123,plain,
    ! [X0] : X0 = relation_dom(identity_relation(X0)),
    inference(forward_subsumption_resolution,[status(thm)],[f14122,f10404]) ).

fof(f14207,plain,
    ( sk0_14 != sk0_14
    | spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f14123,f122]) ).

fof(f14208,plain,
    ( $false
    | spl0_0 ),
    inference(trivial_equality_resolution,[status(esa)],[f14207]) ).

fof(f14209,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f14208]) ).

fof(f14421,plain,
    ( sk0_15 != sk0_15
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f8118,f125]) ).

fof(f14422,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f14421]) ).

fof(f14423,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f14422]) ).

fof(f14424,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f126,f14209,f14423]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU190+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n018.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 : Mon Apr 29 20:03:57 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.10/0.33  % Drodi V3.6.0
% 57.86/7.72  % Refutation found
% 57.86/7.72  % SZS status Theorem for theBenchmark: Theorem is valid
% 57.86/7.72  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 59.39/7.83  % Elapsed time: 7.495770 seconds
% 59.39/7.83  % CPU time: 59.125589 seconds
% 59.39/7.83  % Total memory used: 378.388 MB
% 59.39/7.83  % Net memory used: 368.343 MB
%------------------------------------------------------------------------------