TSTP Solution File: SEU248+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 15:25:35 EDT 2024

% Result   : Theorem 4.63s 1.03s
% Output   : Refutation 4.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   73 (  15 unt;   0 def)
%            Number of atoms       :  256 (  14 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  294 ( 111   ~; 106   |;  46   &)
%                                         (  18 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-3 aty)
%            Number of variables   :  207 ( 180   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f109023,plain,
    $false,
    inference(unit_resulting_resolution,[],[f228,f750,f3995,f109]) ).

fof(f109,plain,
    ! [X0,X1,X5] :
      ( ~ sP0(X0,X1)
      | ~ in(X5,X1)
      | in(ordered_pair(X5,sK9(X0,X5)),X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ( ( ! [X3] : ~ in(ordered_pair(sK7(X0,X1),X3),X0)
            | ~ in(sK7(X0,X1),X1) )
          & ( in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
            | in(sK7(X0,X1),X1) ) ) )
      & ( ! [X5] :
            ( ( in(X5,X1)
              | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
            & ( in(ordered_pair(X5,sK9(X0,X5)),X0)
              | ~ in(X5,X1) ) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f71,f74,f73,f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X2,X4),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(sK7(X0,X1),X3),X0)
          | ~ in(sK7(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(sK7(X0,X1),X4),X0)
          | in(sK7(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(sK7(X0,X1),X4),X0)
     => in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X5,X7),X0)
     => in(ordered_pair(X5,sK9(X0,X5)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X2] :
            ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
              | ~ in(X2,X1) )
            & ( ? [X4] : in(ordered_pair(X2,X4),X0)
              | in(X2,X1) ) ) )
      & ( ! [X5] :
            ( ( in(X5,X1)
              | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
            & ( ? [X7] : in(ordered_pair(X5,X7),X0)
              | ~ in(X5,X1) ) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X2] :
            ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
              | ~ in(X2,X1) )
            & ( ? [X3] : in(ordered_pair(X2,X3),X0)
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
            & ( ? [X3] : in(ordered_pair(X2,X3),X0)
              | ~ in(X2,X1) ) )
        | ~ sP0(X0,X1) ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f3995,plain,
    ! [X0,X1] : ~ in(ordered_pair(sK13(relation_dom(relation_rng_restriction(sK5,sK6)),relation_dom(sK6)),X0),relation_rng_restriction(X1,sK6)),
    inference(unit_resulting_resolution,[],[f1980,f1582,f124]) ).

fof(f124,plain,
    ! [X2,X0,X1,X6,X5] :
      ( ~ sP3(X0,X1,X2)
      | ~ in(ordered_pair(X5,X6),X2)
      | sP2(X1,X6,X5,X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1,X2] :
      ( ( sP3(X0,X1,X2)
        | ( ( ~ sP2(X1,sK12(X0,X1,X2),sK11(X0,X1,X2),X0)
            | ~ in(ordered_pair(sK11(X0,X1,X2),sK12(X0,X1,X2)),X2) )
          & ( sP2(X1,sK12(X0,X1,X2),sK11(X0,X1,X2),X0)
            | in(ordered_pair(sK11(X0,X1,X2),sK12(X0,X1,X2)),X2) ) ) )
      & ( ! [X5,X6] :
            ( ( in(ordered_pair(X5,X6),X2)
              | ~ sP2(X1,X6,X5,X0) )
            & ( sP2(X1,X6,X5,X0)
              | ~ in(ordered_pair(X5,X6),X2) ) )
        | ~ sP3(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f81,f82]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4] :
          ( ( ~ sP2(X1,X4,X3,X0)
            | ~ in(ordered_pair(X3,X4),X2) )
          & ( sP2(X1,X4,X3,X0)
            | in(ordered_pair(X3,X4),X2) ) )
     => ( ( ~ sP2(X1,sK12(X0,X1,X2),sK11(X0,X1,X2),X0)
          | ~ in(ordered_pair(sK11(X0,X1,X2),sK12(X0,X1,X2)),X2) )
        & ( sP2(X1,sK12(X0,X1,X2),sK11(X0,X1,X2),X0)
          | in(ordered_pair(sK11(X0,X1,X2),sK12(X0,X1,X2)),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ( sP3(X0,X1,X2)
        | ? [X3,X4] :
            ( ( ~ sP2(X1,X4,X3,X0)
              | ~ in(ordered_pair(X3,X4),X2) )
            & ( sP2(X1,X4,X3,X0)
              | in(ordered_pair(X3,X4),X2) ) ) )
      & ( ! [X5,X6] :
            ( ( in(ordered_pair(X5,X6),X2)
              | ~ sP2(X1,X6,X5,X0) )
            & ( sP2(X1,X6,X5,X0)
              | ~ in(ordered_pair(X5,X6),X2) ) )
        | ~ sP3(X0,X1,X2) ) ),
    inference(rectify,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ( sP3(X0,X1,X2)
        | ? [X3,X4] :
            ( ( ~ sP2(X1,X4,X3,X0)
              | ~ in(ordered_pair(X3,X4),X2) )
            & ( sP2(X1,X4,X3,X0)
              | in(ordered_pair(X3,X4),X2) ) ) )
      & ( ! [X3,X4] :
            ( ( in(ordered_pair(X3,X4),X2)
              | ~ sP2(X1,X4,X3,X0) )
            & ( sP2(X1,X4,X3,X0)
              | ~ in(ordered_pair(X3,X4),X2) ) )
        | ~ sP3(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( sP3(X0,X1,X2)
    <=> ! [X3,X4] :
          ( in(ordered_pair(X3,X4),X2)
        <=> sP2(X1,X4,X3,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f1582,plain,
    ! [X0] : sP3(X0,sK6,relation_rng_restriction(X0,sK6)),
    inference(unit_resulting_resolution,[],[f395,f156]) ).

fof(f156,plain,
    ! [X2,X1] :
      ( ~ sP4(relation_rng_restriction(X2,X1),X1,X2)
      | sP3(X2,X1,relation_rng_restriction(X2,X1)) ),
    inference(equality_resolution,[],[f122]) ).

fof(f122,plain,
    ! [X2,X0,X1] :
      ( sP3(X2,X1,X0)
      | relation_rng_restriction(X2,X1) != X0
      | ~ sP4(X0,X1,X2) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ( ( relation_rng_restriction(X2,X1) = X0
          | ~ sP3(X2,X1,X0) )
        & ( sP3(X2,X1,X0)
          | relation_rng_restriction(X2,X1) != X0 ) )
      | ~ sP4(X0,X1,X2) ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ! [X2,X1,X0] :
      ( ( ( relation_rng_restriction(X0,X1) = X2
          | ~ sP3(X0,X1,X2) )
        & ( sP3(X0,X1,X2)
          | relation_rng_restriction(X0,X1) != X2 ) )
      | ~ sP4(X2,X1,X0) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X2,X1,X0] :
      ( ( relation_rng_restriction(X0,X1) = X2
      <=> sP3(X0,X1,X2) )
      | ~ sP4(X2,X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f395,plain,
    ! [X0,X1] : sP4(relation_rng_restriction(X0,sK6),sK6,X1),
    inference(unit_resulting_resolution,[],[f102,f195,f131]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X2)
      | sP4(X2,X1,X0)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sP4(X2,X1,X0)
          | ~ relation(X2) )
      | ~ relation(X1) ),
    inference(definition_folding,[],[f47,f65,f64,f63]) ).

fof(f63,plain,
    ! [X1,X4,X3,X0] :
      ( sP2(X1,X4,X3,X0)
    <=> ( in(ordered_pair(X3,X4),X1)
        & in(X4,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( relation_rng_restriction(X0,X1) = X2
          <=> ! [X3,X4] :
                ( in(ordered_pair(X3,X4),X2)
              <=> ( in(ordered_pair(X3,X4),X1)
                  & in(X4,X0) ) ) )
          | ~ relation(X2) )
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ! [X2] :
          ( relation(X2)
         => ( relation_rng_restriction(X0,X1) = X2
          <=> ! [X3,X4] :
                ( in(ordered_pair(X3,X4),X2)
              <=> ( in(ordered_pair(X3,X4),X1)
                  & in(X4,X0) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_1) ).

fof(f195,plain,
    ! [X0] : relation(relation_rng_restriction(X0,sK6)),
    inference(unit_resulting_resolution,[],[f102,f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | relation(relation_rng_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X0,X1))
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => relation(relation_rng_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).

fof(f102,plain,
    relation(sK6),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ( ~ subset(relation_dom(relation_rng_restriction(sK5,sK6)),relation_dom(sK6))
    & relation(sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f40,f67]) ).

fof(f67,plain,
    ( ? [X0,X1] :
        ( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
        & relation(X1) )
   => ( ~ subset(relation_dom(relation_rng_restriction(sK5,sK6)),relation_dom(sK6))
      & relation(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ? [X0,X1] :
      ( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
      & relation(X1) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l29_wellord1) ).

fof(f1980,plain,
    ! [X0,X1] : ~ sP2(sK6,X0,sK13(relation_dom(relation_rng_restriction(sK5,sK6)),relation_dom(sK6)),X1),
    inference(unit_resulting_resolution,[],[f1391,f129]) ).

fof(f129,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP2(X0,X1,X2,X3)
      | in(ordered_pair(X2,X1),X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1,X2,X3] :
      ( ( sP2(X0,X1,X2,X3)
        | ~ in(ordered_pair(X2,X1),X0)
        | ~ in(X1,X3) )
      & ( ( in(ordered_pair(X2,X1),X0)
          & in(X1,X3) )
        | ~ sP2(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f85]) ).

fof(f85,plain,
    ! [X1,X4,X3,X0] :
      ( ( sP2(X1,X4,X3,X0)
        | ~ in(ordered_pair(X3,X4),X1)
        | ~ in(X4,X0) )
      & ( ( in(ordered_pair(X3,X4),X1)
          & in(X4,X0) )
        | ~ sP2(X1,X4,X3,X0) ) ),
    inference(flattening,[],[f84]) ).

fof(f84,plain,
    ! [X1,X4,X3,X0] :
      ( ( sP2(X1,X4,X3,X0)
        | ~ in(ordered_pair(X3,X4),X1)
        | ~ in(X4,X0) )
      & ( ( in(ordered_pair(X3,X4),X1)
          & in(X4,X0) )
        | ~ sP2(X1,X4,X3,X0) ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f1391,plain,
    ! [X0] : ~ in(ordered_pair(sK13(relation_dom(relation_rng_restriction(sK5,sK6)),relation_dom(sK6)),X0),sK6),
    inference(unit_resulting_resolution,[],[f763,f1291]) ).

fof(f1291,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sK6)
      | in(X0,relation_dom(sK6)) ),
    inference(resolution,[],[f1288,f158]) ).

fof(f158,plain,
    ! [X0,X6,X5] :
      ( ~ sP19(X5,X0)
      | ~ in(ordered_pair(X5,X6),X0) ),
    inference(general_splitting,[],[f110,f157_D]) ).

fof(f157,plain,
    ! [X0,X1,X5] :
      ( ~ sP0(X0,X1)
      | in(X5,X1)
      | sP19(X5,X0) ),
    inference(cnf_transformation,[],[f157_D]) ).

fof(f157_D,plain,
    ! [X0,X5] :
      ( ! [X1] :
          ( ~ sP0(X0,X1)
          | in(X5,X1) )
    <=> ~ sP19(X5,X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f110,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X5,X6),X0)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f1288,plain,
    ! [X0] :
      ( sP19(X0,sK6)
      | in(X0,relation_dom(sK6)) ),
    inference(resolution,[],[f157,f232]) ).

fof(f232,plain,
    sP0(sK6,relation_dom(sK6)),
    inference(unit_resulting_resolution,[],[f167,f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ sP1(X0)
      | sP0(X0,relation_dom(X0)) ),
    inference(equality_resolution,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | relation_dom(X0) != X1
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ~ sP0(X0,X1) )
          & ( sP0(X0,X1)
            | relation_dom(X0) != X1 ) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_dom(X0) = X1
        <=> sP0(X0,X1) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f167,plain,
    sP1(sK6),
    inference(unit_resulting_resolution,[],[f102,f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ relation(X0)
      | sP1(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ relation(X0) ),
    inference(definition_folding,[],[f43,f61,f60]) ).

fof(f43,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).

fof(f763,plain,
    ~ in(sK13(relation_dom(relation_rng_restriction(sK5,sK6)),relation_dom(sK6)),relation_dom(sK6)),
    inference(unit_resulting_resolution,[],[f103,f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ in(sK13(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK13(X0,X1),X1)
          & in(sK13(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f88,f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK13(X0,X1),X1)
        & in(sK13(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f103,plain,
    ~ subset(relation_dom(relation_rng_restriction(sK5,sK6)),relation_dom(sK6)),
    inference(cnf_transformation,[],[f68]) ).

fof(f750,plain,
    in(sK13(relation_dom(relation_rng_restriction(sK5,sK6)),relation_dom(sK6)),relation_dom(relation_rng_restriction(sK5,sK6))),
    inference(unit_resulting_resolution,[],[f103,f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK13(X0,X1),X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f228,plain,
    ! [X0] : sP0(relation_rng_restriction(X0,sK6),relation_dom(relation_rng_restriction(X0,sK6))),
    inference(unit_resulting_resolution,[],[f207,f155]) ).

fof(f207,plain,
    ! [X0] : sP1(relation_rng_restriction(X0,sK6)),
    inference(unit_resulting_resolution,[],[f195,f113]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.35  % Computer : n028.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Mon Apr 29 20:54:14 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (22673)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38  % (22676)WARNING: value z3 for option sas not known
% 0.16/0.38  % (22677)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38  % (22678)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.38  % (22679)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.38  % (22676)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38  % (22680)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.38  % (22675)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38  % (22674)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38  TRYING [1]
% 0.16/0.38  TRYING [2]
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [3]
% 0.16/0.40  TRYING [2]
% 0.22/0.44  TRYING [3]
% 0.22/0.46  TRYING [4]
% 0.22/0.52  TRYING [4]
% 2.52/0.76  TRYING [5]
% 4.63/1.02  % (22680)First to succeed.
% 4.63/1.03  % (22680)Refutation found. Thanks to Tanya!
% 4.63/1.03  % SZS status Theorem for theBenchmark
% 4.63/1.03  % SZS output start Proof for theBenchmark
% See solution above
% 4.63/1.03  % (22680)------------------------------
% 4.63/1.03  % (22680)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.63/1.03  % (22680)Termination reason: Refutation
% 4.63/1.03  
% 4.63/1.03  % (22680)Memory used [KB]: 8333
% 4.63/1.03  % (22680)Time elapsed: 0.650 s
% 4.63/1.03  % (22680)Instructions burned: 2291 (million)
% 4.63/1.03  % (22680)------------------------------
% 4.63/1.03  % (22680)------------------------------
% 4.63/1.03  % (22673)Success in time 0.651 s
%------------------------------------------------------------------------------