TSTP Solution File: SEU271+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU271+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 : n021.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 : Sun May  5 09:30:54 EDT 2024

% Result   : Theorem 0.20s 0.44s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   73 (  12 unt;   0 def)
%            Number of atoms       :  327 (  41 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  403 ( 149   ~; 160   |;  69   &)
%                                         (  17 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-2 aty)
%            Number of variables   :  165 ( 149   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2232,plain,
    $false,
    inference(resolution,[],[f2231,f131]) ).

fof(f131,plain,
    ~ antisymmetric(inclusion_relation(sK4)),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ~ antisymmetric(inclusion_relation(sK4)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f62,f94]) ).

fof(f94,plain,
    ( ? [X0] : ~ antisymmetric(inclusion_relation(X0))
   => ~ antisymmetric(inclusion_relation(sK4)) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ? [X0] : ~ antisymmetric(inclusion_relation(X0)),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,negated_conjecture,
    ~ ! [X0] : antisymmetric(inclusion_relation(X0)),
    inference(negated_conjecture,[],[f49]) ).

fof(f49,conjecture,
    ! [X0] : antisymmetric(inclusion_relation(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_wellord2) ).

fof(f2231,plain,
    ! [X0] : antisymmetric(inclusion_relation(X0)),
    inference(subsumption_resolution,[],[f2230,f139]) ).

fof(f139,plain,
    ! [X0] : relation(inclusion_relation(X0)),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] : relation(inclusion_relation(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_wellord2) ).

fof(f2230,plain,
    ! [X0] :
      ( antisymmetric(inclusion_relation(X0))
      | ~ relation(inclusion_relation(X0)) ),
    inference(resolution,[],[f2228,f154]) ).

fof(f154,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ relation(X0) ),
    inference(definition_folding,[],[f67,f89,f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
    <=> ! [X2,X3] :
          ( X2 = X3
          | ~ in(ordered_pair(X3,X2),X0)
          | ~ in(ordered_pair(X2,X3),X0)
          | ~ in(X3,X1)
          | ~ in(X2,X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f89,plain,
    ! [X0] :
      ( ! [X1] :
          ( is_antisymmetric_in(X0,X1)
        <=> sP0(X0,X1) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( is_antisymmetric_in(X0,X1)
        <=> ! [X2,X3] :
              ( X2 = X3
              | ~ in(ordered_pair(X3,X2),X0)
              | ~ in(ordered_pair(X2,X3),X0)
              | ~ in(X3,X1)
              | ~ in(X2,X1) ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1] :
          ( is_antisymmetric_in(X0,X1)
        <=> ! [X2,X3] :
              ( X2 = X3
              | ~ in(ordered_pair(X3,X2),X0)
              | ~ in(ordered_pair(X2,X3),X0)
              | ~ in(X3,X1)
              | ~ in(X2,X1) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( is_antisymmetric_in(X0,X1)
        <=> ! [X2,X3] :
              ( ( in(ordered_pair(X3,X2),X0)
                & in(ordered_pair(X2,X3),X0)
                & in(X3,X1)
                & in(X2,X1) )
             => X2 = X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_2) ).

fof(f2228,plain,
    ! [X0] :
      ( ~ sP1(inclusion_relation(X0))
      | antisymmetric(inclusion_relation(X0)) ),
    inference(resolution,[],[f2227,f283]) ).

fof(f283,plain,
    ! [X0] :
      ( ~ is_antisymmetric_in(inclusion_relation(X0),X0)
      | antisymmetric(inclusion_relation(X0)) ),
    inference(subsumption_resolution,[],[f281,f139]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ is_antisymmetric_in(inclusion_relation(X0),X0)
      | antisymmetric(inclusion_relation(X0))
      | ~ relation(inclusion_relation(X0)) ),
    inference(superposition,[],[f145,f279]) ).

fof(f279,plain,
    ! [X0] : relation_field(inclusion_relation(X0)) = X0,
    inference(resolution,[],[f278,f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ~ sP2(X0,X1)
      | relation_field(X0) = X1 ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( sP2(X0,X1)
        | ( ( ~ subset(sK8(X0,X1),sK9(X0,X1))
            | ~ in(ordered_pair(sK8(X0,X1),sK9(X0,X1)),X0) )
          & ( subset(sK8(X0,X1),sK9(X0,X1))
            | in(ordered_pair(sK8(X0,X1),sK9(X0,X1)),X0) )
          & in(sK9(X0,X1),X1)
          & in(sK8(X0,X1),X1) )
        | relation_field(X0) != X1 )
      & ( ( ! [X4,X5] :
              ( ( ( in(ordered_pair(X4,X5),X0)
                  | ~ subset(X4,X5) )
                & ( subset(X4,X5)
                  | ~ in(ordered_pair(X4,X5),X0) ) )
              | ~ in(X5,X1)
              | ~ in(X4,X1) )
          & relation_field(X0) = X1 )
        | ~ sP2(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f107,f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ( ~ subset(X2,X3)
            | ~ in(ordered_pair(X2,X3),X0) )
          & ( subset(X2,X3)
            | in(ordered_pair(X2,X3),X0) )
          & in(X3,X1)
          & in(X2,X1) )
     => ( ( ~ subset(sK8(X0,X1),sK9(X0,X1))
          | ~ in(ordered_pair(sK8(X0,X1),sK9(X0,X1)),X0) )
        & ( subset(sK8(X0,X1),sK9(X0,X1))
          | in(ordered_pair(sK8(X0,X1),sK9(X0,X1)),X0) )
        & in(sK9(X0,X1),X1)
        & in(sK8(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ( sP2(X0,X1)
        | ? [X2,X3] :
            ( ( ~ subset(X2,X3)
              | ~ in(ordered_pair(X2,X3),X0) )
            & ( subset(X2,X3)
              | in(ordered_pair(X2,X3),X0) )
            & in(X3,X1)
            & in(X2,X1) )
        | relation_field(X0) != X1 )
      & ( ( ! [X4,X5] :
              ( ( ( in(ordered_pair(X4,X5),X0)
                  | ~ subset(X4,X5) )
                & ( subset(X4,X5)
                  | ~ in(ordered_pair(X4,X5),X0) ) )
              | ~ in(X5,X1)
              | ~ in(X4,X1) )
          & relation_field(X0) = X1 )
        | ~ sP2(X0,X1) ) ),
    inference(rectify,[],[f106]) ).

fof(f106,plain,
    ! [X1,X0] :
      ( ( sP2(X1,X0)
        | ? [X2,X3] :
            ( ( ~ subset(X2,X3)
              | ~ in(ordered_pair(X2,X3),X1) )
            & ( subset(X2,X3)
              | in(ordered_pair(X2,X3),X1) )
            & in(X3,X0)
            & in(X2,X0) )
        | relation_field(X1) != X0 )
      & ( ( ! [X2,X3] :
              ( ( ( in(ordered_pair(X2,X3),X1)
                  | ~ subset(X2,X3) )
                & ( subset(X2,X3)
                  | ~ in(ordered_pair(X2,X3),X1) ) )
              | ~ in(X3,X0)
              | ~ in(X2,X0) )
          & relation_field(X1) = X0 )
        | ~ sP2(X1,X0) ) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X1,X0] :
      ( ( sP2(X1,X0)
        | ? [X2,X3] :
            ( ( ~ subset(X2,X3)
              | ~ in(ordered_pair(X2,X3),X1) )
            & ( subset(X2,X3)
              | in(ordered_pair(X2,X3),X1) )
            & in(X3,X0)
            & in(X2,X0) )
        | relation_field(X1) != X0 )
      & ( ( ! [X2,X3] :
              ( ( ( in(ordered_pair(X2,X3),X1)
                  | ~ subset(X2,X3) )
                & ( subset(X2,X3)
                  | ~ in(ordered_pair(X2,X3),X1) ) )
              | ~ in(X3,X0)
              | ~ in(X2,X0) )
          & relation_field(X1) = X0 )
        | ~ sP2(X1,X0) ) ),
    inference(nnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X1,X0] :
      ( sP2(X1,X0)
    <=> ( ! [X2,X3] :
            ( ( in(ordered_pair(X2,X3),X1)
            <=> subset(X2,X3) )
            | ~ in(X3,X0)
            | ~ in(X2,X0) )
        & relation_field(X1) = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f278,plain,
    ! [X0] : sP2(inclusion_relation(X0),X0),
    inference(subsumption_resolution,[],[f277,f139]) ).

fof(f277,plain,
    ! [X0] :
      ( sP2(inclusion_relation(X0),X0)
      | ~ relation(inclusion_relation(X0)) ),
    inference(resolution,[],[f218,f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( sP3(X0,X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( sP3(X0,X1)
      | ~ relation(X1) ),
    inference(definition_folding,[],[f78,f92,f91]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ( inclusion_relation(X0) = X1
      <=> sP2(X1,X0) )
      | ~ sP3(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( inclusion_relation(X0) = X1
      <=> ( ! [X2,X3] :
              ( ( in(ordered_pair(X2,X3),X1)
              <=> subset(X2,X3) )
              | ~ in(X3,X0)
              | ~ in(X2,X0) )
          & relation_field(X1) = X0 ) )
      | ~ relation(X1) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ( inclusion_relation(X0) = X1
      <=> ( ! [X2,X3] :
              ( ( in(ordered_pair(X2,X3),X1)
              <=> subset(X2,X3) )
              | ~ in(X3,X0)
              | ~ in(X2,X0) )
          & relation_field(X1) = X0 ) )
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( inclusion_relation(X0) = X1
      <=> ( ! [X2,X3] :
              ( ( in(X3,X0)
                & in(X2,X0) )
             => ( in(ordered_pair(X2,X3),X1)
              <=> subset(X2,X3) ) )
          & relation_field(X1) = X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_wellord2) ).

fof(f218,plain,
    ! [X0] :
      ( ~ sP3(X0,inclusion_relation(X0))
      | sP2(inclusion_relation(X0),X0) ),
    inference(equality_resolution,[],[f172]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( sP2(X1,X0)
      | inclusion_relation(X0) != X1
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( ( inclusion_relation(X0) = X1
          | ~ sP2(X1,X0) )
        & ( sP2(X1,X0)
          | inclusion_relation(X0) != X1 ) )
      | ~ sP3(X0,X1) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ is_antisymmetric_in(X0,relation_field(X0))
      | antisymmetric(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0] :
      ( ( ( antisymmetric(X0)
          | ~ is_antisymmetric_in(X0,relation_field(X0)) )
        & ( is_antisymmetric_in(X0,relation_field(X0))
          | ~ antisymmetric(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ( antisymmetric(X0)
      <=> is_antisymmetric_in(X0,relation_field(X0)) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( relation(X0)
     => ( antisymmetric(X0)
      <=> is_antisymmetric_in(X0,relation_field(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_2) ).

fof(f2227,plain,
    ! [X0] :
      ( is_antisymmetric_in(inclusion_relation(X0),X0)
      | ~ sP1(inclusion_relation(X0)) ),
    inference(resolution,[],[f2225,f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | is_antisymmetric_in(X0,X1)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( is_antisymmetric_in(X0,X1)
            | ~ sP0(X0,X1) )
          & ( sP0(X0,X1)
            | ~ is_antisymmetric_in(X0,X1) ) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f89]) ).

fof(f2225,plain,
    ! [X0] : sP0(inclusion_relation(X0),X0),
    inference(resolution,[],[f2221,f278]) ).

fof(f2221,plain,
    ! [X0,X1] :
      ( ~ sP2(X0,X1)
      | sP0(X0,X1) ),
    inference(subsumption_resolution,[],[f2220,f2030]) ).

fof(f2030,plain,
    ! [X0,X1] :
      ( ~ subset(sK6(X0,X1),sK5(X0,X1))
      | sP0(X0,X1)
      | ~ sP2(X0,X1) ),
    inference(subsumption_resolution,[],[f2029,f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( sK5(X0,X1) != sK6(X0,X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ( sK5(X0,X1) != sK6(X0,X1)
          & in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
          & in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
          & in(sK6(X0,X1),X1)
          & in(sK5(X0,X1),X1) ) )
      & ( ! [X4,X5] :
            ( X4 = X5
            | ~ in(ordered_pair(X5,X4),X0)
            | ~ in(ordered_pair(X4,X5),X0)
            | ~ in(X5,X1)
            | ~ in(X4,X1) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f99,f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( X2 != X3
          & in(ordered_pair(X3,X2),X0)
          & in(ordered_pair(X2,X3),X0)
          & in(X3,X1)
          & in(X2,X1) )
     => ( sK5(X0,X1) != sK6(X0,X1)
        & in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
        & in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
        & in(sK6(X0,X1),X1)
        & in(sK5(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X2,X3] :
            ( X2 != X3
            & in(ordered_pair(X3,X2),X0)
            & in(ordered_pair(X2,X3),X0)
            & in(X3,X1)
            & in(X2,X1) ) )
      & ( ! [X4,X5] :
            ( X4 = X5
            | ~ in(ordered_pair(X5,X4),X0)
            | ~ in(ordered_pair(X4,X5),X0)
            | ~ in(X5,X1)
            | ~ in(X4,X1) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X2,X3] :
            ( X2 != X3
            & in(ordered_pair(X3,X2),X0)
            & in(ordered_pair(X2,X3),X0)
            & in(X3,X1)
            & in(X2,X1) ) )
      & ( ! [X2,X3] :
            ( X2 = X3
            | ~ in(ordered_pair(X3,X2),X0)
            | ~ in(ordered_pair(X2,X3),X0)
            | ~ in(X3,X1)
            | ~ in(X2,X1) )
        | ~ sP0(X0,X1) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f2029,plain,
    ! [X0,X1] :
      ( ~ sP2(X0,X1)
      | sP0(X0,X1)
      | sK5(X0,X1) = sK6(X0,X1)
      | ~ subset(sK6(X0,X1),sK5(X0,X1)) ),
    inference(resolution,[],[f2024,f187]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f2024,plain,
    ! [X0,X1] :
      ( subset(sK5(X0,X1),sK6(X0,X1))
      | ~ sP2(X0,X1)
      | sP0(X0,X1) ),
    inference(subsumption_resolution,[],[f2023,f149]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( in(sK5(X0,X1),X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f2023,plain,
    ! [X0,X1] :
      ( subset(sK5(X0,X1),sK6(X0,X1))
      | ~ in(sK5(X0,X1),X1)
      | ~ sP2(X0,X1)
      | sP0(X0,X1) ),
    inference(duplicate_literal_removal,[],[f2019]) ).

fof(f2019,plain,
    ! [X0,X1] :
      ( subset(sK5(X0,X1),sK6(X0,X1))
      | ~ in(sK5(X0,X1),X1)
      | ~ sP2(X0,X1)
      | sP0(X0,X1)
      | sP0(X0,X1) ),
    inference(resolution,[],[f734,f150]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( in(sK6(X0,X1),X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f734,plain,
    ! [X2,X0,X1] :
      ( ~ in(sK6(X0,X1),X2)
      | subset(sK5(X0,X1),sK6(X0,X1))
      | ~ in(sK5(X0,X1),X2)
      | ~ sP2(X0,X2)
      | sP0(X0,X1) ),
    inference(resolution,[],[f175,f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f175,plain,
    ! [X0,X1,X4,X5] :
      ( ~ in(ordered_pair(X4,X5),X0)
      | subset(X4,X5)
      | ~ in(X5,X1)
      | ~ in(X4,X1)
      | ~ sP2(X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f2220,plain,
    ! [X0,X1] :
      ( subset(sK6(X0,X1),sK5(X0,X1))
      | ~ sP2(X0,X1)
      | sP0(X0,X1) ),
    inference(subsumption_resolution,[],[f2219,f149]) ).

fof(f2219,plain,
    ! [X0,X1] :
      ( ~ in(sK5(X0,X1),X1)
      | subset(sK6(X0,X1),sK5(X0,X1))
      | ~ sP2(X0,X1)
      | sP0(X0,X1) ),
    inference(duplicate_literal_removal,[],[f2215]) ).

fof(f2215,plain,
    ! [X0,X1] :
      ( ~ in(sK5(X0,X1),X1)
      | subset(sK6(X0,X1),sK5(X0,X1))
      | ~ sP2(X0,X1)
      | sP0(X0,X1)
      | sP0(X0,X1) ),
    inference(resolution,[],[f735,f150]) ).

fof(f735,plain,
    ! [X2,X0,X1] :
      ( ~ in(sK6(X0,X1),X2)
      | ~ in(sK5(X0,X1),X2)
      | subset(sK6(X0,X1),sK5(X0,X1))
      | ~ sP2(X0,X2)
      | sP0(X0,X1) ),
    inference(resolution,[],[f175,f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU271+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 11:23:13 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (3158)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (3160)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (3161)WARNING: value z3 for option sas not known
% 0.14/0.37  % (3162)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (3159)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (3163)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)
% 0.14/0.37  % (3161)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)
% 0.14/0.37  % (3164)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)
% 0.14/0.37  % (3165)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)
% 0.14/0.37  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.40  TRYING [4]
% 0.20/0.41  TRYING [3]
% 0.20/0.44  % (3161)First to succeed.
% 0.20/0.44  % (3161)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3158"
% 0.20/0.44  % (3161)Refutation found. Thanks to Tanya!
% 0.20/0.44  % SZS status Theorem for theBenchmark
% 0.20/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44  % (3161)------------------------------
% 0.20/0.44  % (3161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44  % (3161)Termination reason: Refutation
% 0.20/0.44  
% 0.20/0.44  % (3161)Memory used [KB]: 1696
% 0.20/0.44  % (3161)Time elapsed: 0.073 s
% 0.20/0.44  % (3161)Instructions burned: 145 (million)
% 0.20/0.44  % (3158)Success in time 0.09 s
%------------------------------------------------------------------------------