TSTP Solution File: SEU138+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU138+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n020.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 : Thu Aug 31 17:55:57 EDT 2023

% Result   : Theorem 0.22s 0.47s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   82 (  14 unt;   0 def)
%            Number of atoms       :  318 (  54 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  377 ( 141   ~; 161   |;  63   &)
%                                         (   7 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :  173 (; 158   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1293,plain,
    $false,
    inference(subsumption_resolution,[],[f1292,f373]) ).

fof(f373,plain,
    ~ subset(sF7,sF9),
    inference(subsumption_resolution,[],[f370,f96]) ).

fof(f96,plain,
    sF7 != sF9,
    inference(definition_folding,[],[f53,f95,f94,f93]) ).

fof(f93,plain,
    set_intersection2(sK0,sK1) = sF7,
    introduced(function_definition,[]) ).

fof(f94,plain,
    set_difference(sK0,sK1) = sF8,
    introduced(function_definition,[]) ).

fof(f95,plain,
    set_difference(sK0,sF8) = sF9,
    introduced(function_definition,[]) ).

fof(f53,plain,
    set_intersection2(sK0,sK1) != set_difference(sK0,set_difference(sK0,sK1)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    set_intersection2(sK0,sK1) != set_difference(sK0,set_difference(sK0,sK1)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f25,f31]) ).

fof(f31,plain,
    ( ? [X0,X1] : set_intersection2(X0,X1) != set_difference(X0,set_difference(X0,X1))
   => set_intersection2(sK0,sK1) != set_difference(sK0,set_difference(sK0,sK1)) ),
    introduced(choice_axiom,[]) ).

fof(f25,plain,
    ? [X0,X1] : set_intersection2(X0,X1) != set_difference(X0,set_difference(X0,X1)),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.A6sOToG9cd/Vampire---4.8_12299',t48_xboole_1) ).

fof(f370,plain,
    ( sF7 = sF9
    | ~ subset(sF7,sF9) ),
    inference(resolution,[],[f367,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A6sOToG9cd/Vampire---4.8_12299',d10_xboole_0) ).

fof(f367,plain,
    subset(sF9,sF7),
    inference(duplicate_literal_removal,[],[f363]) ).

fof(f363,plain,
    ( subset(sF9,sF7)
    | subset(sF9,sF7) ),
    inference(resolution,[],[f360,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ in(sK2(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK2(X0,X1),X1)
          & in(sK2(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f36,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK2(X0,X1),X1)
        & in(sK2(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,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,[],[f35]) ).

fof(f35,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,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A6sOToG9cd/Vampire---4.8_12299',d3_tarski) ).

fof(f360,plain,
    ! [X1] :
      ( in(sK2(sF9,X1),sF7)
      | subset(sF9,X1) ),
    inference(subsumption_resolution,[],[f358,f177]) ).

fof(f177,plain,
    ! [X0] :
      ( in(sK2(sF9,X0),sK0)
      | subset(sF9,X0) ),
    inference(resolution,[],[f173,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( in(sK2(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f173,plain,
    ! [X11] :
      ( ~ in(X11,sF9)
      | in(X11,sK0) ),
    inference(superposition,[],[f89,f95]) ).

fof(f89,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_difference(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f71]) ).

fof(f71,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ( ( in(sK3(X0,X1,X2),X1)
            | ~ in(sK3(X0,X1,X2),X0)
            | ~ in(sK3(X0,X1,X2),X2) )
          & ( ( ~ in(sK3(X0,X1,X2),X1)
              & in(sK3(X0,X1,X2),X0) )
            | in(sK3(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f41,f42]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( in(X3,X1)
            | ~ in(X3,X0)
            | ~ in(X3,X2) )
          & ( ( ~ in(X3,X1)
              & in(X3,X0) )
            | in(X3,X2) ) )
     => ( ( in(sK3(X0,X1,X2),X1)
          | ~ in(sK3(X0,X1,X2),X0)
          | ~ in(sK3(X0,X1,X2),X2) )
        & ( ( ~ in(sK3(X0,X1,X2),X1)
            & in(sK3(X0,X1,X2),X0) )
          | in(sK3(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(rectify,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( set_difference(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A6sOToG9cd/Vampire---4.8_12299',d4_xboole_0) ).

fof(f358,plain,
    ! [X1] :
      ( in(sK2(sF9,X1),sF7)
      | ~ in(sK2(sF9,X1),sK0)
      | subset(sF9,X1) ),
    inference(resolution,[],[f342,f316]) ).

fof(f316,plain,
    ! [X1] :
      ( in(sK2(sF9,X1),sK1)
      | subset(sF9,X1) ),
    inference(subsumption_resolution,[],[f313,f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ~ in(sK2(sF9,X0),sF8)
      | subset(sF9,X0) ),
    inference(resolution,[],[f159,f67]) ).

fof(f159,plain,
    ! [X11] :
      ( ~ in(X11,sF9)
      | ~ in(X11,sF8) ),
    inference(superposition,[],[f88,f95]) ).

fof(f88,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_difference(X0,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f72]) ).

fof(f72,plain,
    ! [X2,X0,X1,X4] :
      ( ~ in(X4,X1)
      | ~ in(X4,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f313,plain,
    ! [X1] :
      ( in(sK2(sF9,X1),sK1)
      | in(sK2(sF9,X1),sF8)
      | subset(sF9,X1) ),
    inference(resolution,[],[f310,f177]) ).

fof(f310,plain,
    ! [X10] :
      ( ~ in(X10,sK0)
      | in(X10,sK1)
      | in(X10,sF8) ),
    inference(superposition,[],[f87,f94]) ).

fof(f87,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_difference(X0,X1))
      | in(X4,X1)
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f73]) ).

fof(f73,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | in(X4,X1)
      | ~ in(X4,X0)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f342,plain,
    ! [X16] :
      ( ~ in(X16,sK1)
      | in(X16,sF7)
      | ~ in(X16,sK0) ),
    inference(superposition,[],[f90,f93]) ).

fof(f90,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_intersection2(X0,X1))
      | ~ in(X4,X1)
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f79]) ).

fof(f79,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | ~ in(X4,X0)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ( ( ~ in(sK4(X0,X1,X2),X1)
            | ~ in(sK4(X0,X1,X2),X0)
            | ~ in(sK4(X0,X1,X2),X2) )
          & ( ( in(sK4(X0,X1,X2),X1)
              & in(sK4(X0,X1,X2),X0) )
            | in(sK4(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f46,f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X1)
            | ~ in(X3,X0)
            | ~ in(X3,X2) )
          & ( ( in(X3,X1)
              & in(X3,X0) )
            | in(X3,X2) ) )
     => ( ( ~ in(sK4(X0,X1,X2),X1)
          | ~ in(sK4(X0,X1,X2),X0)
          | ~ in(sK4(X0,X1,X2),X2) )
        & ( ( in(sK4(X0,X1,X2),X1)
            & in(sK4(X0,X1,X2),X0) )
          | in(sK4(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(rectify,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( set_intersection2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A6sOToG9cd/Vampire---4.8_12299',d3_xboole_0) ).

fof(f1292,plain,
    subset(sF7,sF9),
    inference(duplicate_literal_removal,[],[f1289]) ).

fof(f1289,plain,
    ( subset(sF7,sF9)
    | subset(sF7,sF9) ),
    inference(resolution,[],[f1284,f68]) ).

fof(f1284,plain,
    ! [X2] :
      ( in(sK2(sF7,X2),sF9)
      | subset(sF7,X2) ),
    inference(subsumption_resolution,[],[f355,f1275]) ).

fof(f1275,plain,
    ! [X20] :
      ( ~ in(sK2(sF7,X20),sF8)
      | subset(sF7,X20) ),
    inference(superposition,[],[f153,f1011]) ).

fof(f1011,plain,
    sF7 = set_difference(sF7,sF8),
    inference(duplicate_literal_removal,[],[f1008]) ).

fof(f1008,plain,
    ( sF7 = set_difference(sF7,sF8)
    | sF7 = set_difference(sF7,sF8) ),
    inference(resolution,[],[f946,f467]) ).

fof(f467,plain,
    ! [X21] :
      ( in(sK3(sF7,X21,sF7),sK1)
      | sF7 = set_difference(sF7,X21) ),
    inference(resolution,[],[f438,f186]) ).

fof(f186,plain,
    ! [X16] :
      ( ~ in(X16,sF7)
      | in(X16,sK1) ),
    inference(superposition,[],[f91,f93]) ).

fof(f91,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X1) ),
    inference(equality_resolution,[],[f78]) ).

fof(f78,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f438,plain,
    ! [X0,X1] :
      ( in(sK3(X0,X1,X0),X0)
      | set_difference(X0,X1) = X0 ),
    inference(factoring,[],[f74]) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( in(sK3(X0,X1,X2),X2)
      | in(sK3(X0,X1,X2),X0)
      | set_difference(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f946,plain,
    ! [X26] :
      ( ~ in(sK3(X26,sF8,X26),sK1)
      | set_difference(X26,sF8) = X26 ),
    inference(resolution,[],[f928,f158]) ).

fof(f158,plain,
    ! [X10] :
      ( ~ in(X10,sF8)
      | ~ in(X10,sK1) ),
    inference(superposition,[],[f88,f94]) ).

fof(f928,plain,
    ! [X3,X4] :
      ( in(sK3(X3,X4,X3),X4)
      | set_difference(X3,X4) = X3 ),
    inference(subsumption_resolution,[],[f926,f438]) ).

fof(f926,plain,
    ! [X3,X4] :
      ( in(sK3(X3,X4,X3),X4)
      | ~ in(sK3(X3,X4,X3),X3)
      | set_difference(X3,X4) = X3 ),
    inference(duplicate_literal_removal,[],[f921]) ).

fof(f921,plain,
    ! [X3,X4] :
      ( in(sK3(X3,X4,X3),X4)
      | ~ in(sK3(X3,X4,X3),X3)
      | set_difference(X3,X4) = X3
      | set_difference(X3,X4) = X3 ),
    inference(resolution,[],[f76,f438]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ in(sK3(X0,X1,X2),X2)
      | in(sK3(X0,X1,X2),X1)
      | ~ in(sK3(X0,X1,X2),X0)
      | set_difference(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f153,plain,
    ! [X2,X0,X1] :
      ( ~ in(sK2(set_difference(X0,X1),X2),X1)
      | subset(set_difference(X0,X1),X2) ),
    inference(resolution,[],[f88,f67]) ).

fof(f355,plain,
    ! [X2] :
      ( in(sK2(sF7,X2),sF8)
      | in(sK2(sF7,X2),sF9)
      | subset(sF7,X2) ),
    inference(resolution,[],[f311,f203]) ).

fof(f203,plain,
    ! [X0] :
      ( in(sK2(sF7,X0),sK0)
      | subset(sF7,X0) ),
    inference(resolution,[],[f201,f67]) ).

fof(f201,plain,
    ! [X16] :
      ( ~ in(X16,sF7)
      | in(X16,sK0) ),
    inference(superposition,[],[f92,f93]) ).

fof(f92,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f77]) ).

fof(f77,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f311,plain,
    ! [X11] :
      ( ~ in(X11,sK0)
      | in(X11,sF8)
      | in(X11,sF9) ),
    inference(superposition,[],[f87,f95]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU138+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 23 15:16:01 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.A6sOToG9cd/Vampire---4.8_12299
% 0.15/0.36  % (12531)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (12542)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.42  % (12543)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.42  % (12547)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.42  % (12538)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.42  % (12535)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.42  % (12533)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.42  % (12550)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.43  % (12542)Refutation not found, incomplete strategy% (12542)------------------------------
% 0.22/0.43  % (12542)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (12542)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (12542)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43  
% 0.22/0.43  % (12542)Memory used [KB]: 9978
% 0.22/0.43  % (12542)Time elapsed: 0.006 s
% 0.22/0.43  % (12542)------------------------------
% 0.22/0.43  % (12542)------------------------------
% 0.22/0.47  % (12543)First to succeed.
% 0.22/0.47  % (12543)Refutation found. Thanks to Tanya!
% 0.22/0.47  % SZS status Theorem for Vampire---4
% 0.22/0.47  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.47  % (12543)------------------------------
% 0.22/0.47  % (12543)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.47  % (12543)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.47  % (12543)Termination reason: Refutation
% 0.22/0.47  
% 0.22/0.47  % (12543)Memory used [KB]: 1791
% 0.22/0.47  % (12543)Time elapsed: 0.047 s
% 0.22/0.47  % (12543)------------------------------
% 0.22/0.47  % (12543)------------------------------
% 0.22/0.47  % (12531)Success in time 0.104 s
% 0.22/0.47  12533 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.A6sOToG9cd/Vampire---4.8_12299
% 0.22/0.47  % (12533)------------------------------
% 0.22/0.47  % (12533)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.47  % (12533)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.47  % (12533)Termination reason: Unknown
% 0.22/0.47  12535 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.A6sOToG9cd/Vampire---4.8_12299
% 0.22/0.47  % (12535)------------------------------
% 0.22/0.47  % (12535)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.47  % (12533)Termination phase: Saturation
% 0.22/0.47  12538 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.A6sOToG9cd/Vampire---4.8_12299
% 0.22/0.47  % (12538)------------------------------
% 0.22/0.47  % (12538)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.47  
% 0.22/0.47  % (12535)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.47  % (12533)Memory used [KB]: 5500
% 0.22/0.47  % (12538)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.47  % (12535)Termination reason: Unknown
% 0.22/0.47  % (12533)Time elapsed: 0.049 s
% 0.22/0.47  % (12538)Termination reason: Unknown
% 0.22/0.47  % (12535)Termination phase: Saturation
% 0.22/0.47  % (12533)------------------------------
% 0.22/0.47  % (12533)------------------------------
% 0.22/0.47  
% 0.22/0.47  % (12538)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (12535)Memory used [KB]: 895
% 0.22/0.47  % (12538)Memory used [KB]: 1023
% 0.22/0.47  % (12535)Time elapsed: 0.050 s
% 0.22/0.47  % (12538)Time elapsed: 0.050 s
% 0.22/0.47  % (12535)------------------------------
% 0.22/0.47  % (12535)------------------------------
% 0.22/0.47  % (12538)------------------------------
% 0.22/0.47  % (12538)------------------------------
% 0.22/0.47  % Vampire---4.8 exiting
%------------------------------------------------------------------------------