TSTP Solution File: LAT385+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT385+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %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 : Sun May  5 07:25:15 EDT 2024

% Result   : Theorem 0.59s 0.77s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   42 (   5 unt;   0 def)
%            Number of atoms       :  438 (  17 equ)
%            Maximal formula atoms :   37 (  10 avg)
%            Number of connectives :  525 ( 129   ~; 109   |; 246   &)
%                                         (   0 <=>;  41  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :  133 (  96   !;  37   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f315,plain,
    $false,
    inference(subsumption_resolution,[],[f314,f235]) ).

fof(f235,plain,
    ~ sP2(xP),
    inference(resolution,[],[f182,f132]) ).

fof(f132,plain,
    ! [X0] :
      ( aInfimumOfIn0(sK4(X0),X0,xU)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ( sP0(X0)
        & aInfimumOfIn0(sK4(X0),X0,xU)
        & sP1(sK4(X0),X0)
        & aLowerBoundOfIn0(sK4(X0),X0,xU)
        & ! [X2] :
            ( sdtlseqdt0(sK4(X0),X2)
            | ~ aElementOf0(X2,X0) )
        & aElementOf0(sK4(X0),xU)
        & aElementOf0(sK4(X0),xU) )
      | ~ sP2(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f69,f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ? [X1] :
          ( sP0(X0)
          & aInfimumOfIn0(X1,X0,xU)
          & sP1(X1,X0)
          & aLowerBoundOfIn0(X1,X0,xU)
          & ! [X2] :
              ( sdtlseqdt0(X1,X2)
              | ~ aElementOf0(X2,X0) )
          & aElementOf0(X1,xU)
          & aElementOf0(X1,xU) )
     => ( sP0(X0)
        & aInfimumOfIn0(sK4(X0),X0,xU)
        & sP1(sK4(X0),X0)
        & aLowerBoundOfIn0(sK4(X0),X0,xU)
        & ! [X2] :
            ( sdtlseqdt0(sK4(X0),X2)
            | ~ aElementOf0(X2,X0) )
        & aElementOf0(sK4(X0),xU)
        & aElementOf0(sK4(X0),xU) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ! [X0] :
      ( ? [X1] :
          ( sP0(X0)
          & aInfimumOfIn0(X1,X0,xU)
          & sP1(X1,X0)
          & aLowerBoundOfIn0(X1,X0,xU)
          & ! [X2] :
              ( sdtlseqdt0(X1,X2)
              | ~ aElementOf0(X2,X0) )
          & aElementOf0(X1,xU)
          & aElementOf0(X1,xU) )
      | ~ sP2(X0) ),
    inference(rectify,[],[f68]) ).

fof(f68,plain,
    ! [X2] :
      ( ? [X4] :
          ( sP0(X2)
          & aInfimumOfIn0(X4,X2,xU)
          & sP1(X4,X2)
          & aLowerBoundOfIn0(X4,X2,xU)
          & ! [X11] :
              ( sdtlseqdt0(X4,X11)
              | ~ aElementOf0(X11,X2) )
          & aElementOf0(X4,xU)
          & aElementOf0(X4,xU) )
      | ~ sP2(X2) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X2] :
      ( ? [X4] :
          ( sP0(X2)
          & aInfimumOfIn0(X4,X2,xU)
          & sP1(X4,X2)
          & aLowerBoundOfIn0(X4,X2,xU)
          & ! [X11] :
              ( sdtlseqdt0(X4,X11)
              | ~ aElementOf0(X11,X2) )
          & aElementOf0(X4,xU)
          & aElementOf0(X4,xU) )
      | ~ sP2(X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f182,plain,
    ! [X0] : ~ aInfimumOfIn0(X0,xP,xU),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ aInfimumOfIn0(X0,xP,xU)
      & ( sP3(X0)
        | ( ~ aLowerBoundOfIn0(X0,xP,xU)
          & ( ( ~ sdtlseqdt0(X0,sK11(X0))
              & aElementOf0(sK11(X0),xP) )
            | ~ aElementOf0(X0,xU) ) )
        | ~ aElementOf0(X0,xU) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f88,f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ sdtlseqdt0(X0,X1)
          & aElementOf0(X1,xP) )
     => ( ~ sdtlseqdt0(X0,sK11(X0))
        & aElementOf0(sK11(X0),xP) ) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ aInfimumOfIn0(X0,xP,xU)
      & ( sP3(X0)
        | ( ~ aLowerBoundOfIn0(X0,xP,xU)
          & ( ? [X1] :
                ( ~ sdtlseqdt0(X0,X1)
                & aElementOf0(X1,xP) )
            | ~ aElementOf0(X0,xU) ) )
        | ~ aElementOf0(X0,xU) ) ),
    inference(rectify,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ aInfimumOfIn0(X0,xP,xU)
      & ( sP3(X0)
        | ( ~ aLowerBoundOfIn0(X0,xP,xU)
          & ( ? [X3] :
                ( ~ sdtlseqdt0(X0,X3)
                & aElementOf0(X3,xP) )
            | ~ aElementOf0(X0,xU) ) )
        | ~ aElementOf0(X0,xU) ) ),
    inference(definition_folding,[],[f43,f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ sdtlseqdt0(X1,X0)
          & aLowerBoundOfIn0(X1,xP,xU)
          & ! [X2] :
              ( sdtlseqdt0(X1,X2)
              | ~ aElementOf0(X2,xP) )
          & aElementOf0(X1,xU) )
      | ~ sP3(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ aInfimumOfIn0(X0,xP,xU)
      & ( ? [X1] :
            ( ~ sdtlseqdt0(X1,X0)
            & aLowerBoundOfIn0(X1,xP,xU)
            & ! [X2] :
                ( sdtlseqdt0(X1,X2)
                | ~ aElementOf0(X2,xP) )
            & aElementOf0(X1,xU) )
        | ( ~ aLowerBoundOfIn0(X0,xP,xU)
          & ( ? [X3] :
                ( ~ sdtlseqdt0(X0,X3)
                & aElementOf0(X3,xP) )
            | ~ aElementOf0(X0,xU) ) )
        | ~ aElementOf0(X0,xU) ) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ aInfimumOfIn0(X0,xP,xU)
      & ( ? [X1] :
            ( ~ sdtlseqdt0(X1,X0)
            & aLowerBoundOfIn0(X1,xP,xU)
            & ! [X2] :
                ( sdtlseqdt0(X1,X2)
                | ~ aElementOf0(X2,xP) )
            & aElementOf0(X1,xU) )
        | ( ~ aLowerBoundOfIn0(X0,xP,xU)
          & ( ? [X3] :
                ( ~ sdtlseqdt0(X0,X3)
                & aElementOf0(X3,xP) )
            | ~ aElementOf0(X0,xU) ) )
        | ~ aElementOf0(X0,xU) ) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ~ ? [X0] :
        ( aInfimumOfIn0(X0,xP,xU)
        | ( ! [X1] :
              ( ( aLowerBoundOfIn0(X1,xP,xU)
                & ! [X2] :
                    ( aElementOf0(X2,xP)
                   => sdtlseqdt0(X1,X2) )
                & aElementOf0(X1,xU) )
             => sdtlseqdt0(X1,X0) )
          & ( aLowerBoundOfIn0(X0,xP,xU)
            | ( ! [X3] :
                  ( aElementOf0(X3,xP)
                 => sdtlseqdt0(X0,X3) )
              & aElementOf0(X0,xU) ) )
          & aElementOf0(X0,xU) ) ),
    inference(rectify,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ? [X0] :
        ( aInfimumOfIn0(X0,xP,xU)
        | ( ! [X1] :
              ( ( aLowerBoundOfIn0(X1,xP,xU)
                & ! [X2] :
                    ( aElementOf0(X2,xP)
                   => sdtlseqdt0(X1,X2) )
                & aElementOf0(X1,xU) )
             => sdtlseqdt0(X1,X0) )
          & ( aLowerBoundOfIn0(X0,xP,xU)
            | ( ! [X1] :
                  ( aElementOf0(X1,xP)
                 => sdtlseqdt0(X0,X1) )
              & aElementOf0(X0,xU) ) )
          & aElementOf0(X0,xU) ) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ? [X0] :
      ( aInfimumOfIn0(X0,xP,xU)
      | ( ! [X1] :
            ( ( aLowerBoundOfIn0(X1,xP,xU)
              & ! [X2] :
                  ( aElementOf0(X2,xP)
                 => sdtlseqdt0(X1,X2) )
              & aElementOf0(X1,xU) )
           => sdtlseqdt0(X1,X0) )
        & ( aLowerBoundOfIn0(X0,xP,xU)
          | ( ! [X1] :
                ( aElementOf0(X1,xP)
               => sdtlseqdt0(X0,X1) )
            & aElementOf0(X0,xU) ) )
        & aElementOf0(X0,xU) ) ),
    file('/export/starexec/sandbox/tmp/tmp.5vc5qPtc8b/Vampire---4.8_27086',m__) ).

fof(f314,plain,
    sP2(xP),
    inference(subsumption_resolution,[],[f313,f166]) ).

fof(f166,plain,
    aSet0(xP),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( xP = cS1241(xU,xf,xT)
    & ! [X0] :
        ( ( aElementOf0(X0,xP)
          | ( ~ aUpperBoundOfIn0(X0,xT,xU)
            & ~ sdtlseqdt0(sK9(X0),X0)
            & aElementOf0(sK9(X0),xT) )
          | ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
          | ~ aElementOf0(X0,xU) )
        & ( ( aUpperBoundOfIn0(X0,xT,xU)
            & ! [X2] :
                ( sdtlseqdt0(X2,X0)
                | ~ aElementOf0(X2,xT) )
            & sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
            & aElementOf0(X0,xU) )
          | ~ aElementOf0(X0,xP) ) )
    & aSet0(xP) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f41,f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ sdtlseqdt0(X1,X0)
          & aElementOf0(X1,xT) )
     => ( ~ sdtlseqdt0(sK9(X0),X0)
        & aElementOf0(sK9(X0),xT) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ( xP = cS1241(xU,xf,xT)
    & ! [X0] :
        ( ( aElementOf0(X0,xP)
          | ( ~ aUpperBoundOfIn0(X0,xT,xU)
            & ? [X1] :
                ( ~ sdtlseqdt0(X1,X0)
                & aElementOf0(X1,xT) ) )
          | ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
          | ~ aElementOf0(X0,xU) )
        & ( ( aUpperBoundOfIn0(X0,xT,xU)
            & ! [X2] :
                ( sdtlseqdt0(X2,X0)
                | ~ aElementOf0(X2,xT) )
            & sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
            & aElementOf0(X0,xU) )
          | ~ aElementOf0(X0,xP) ) )
    & aSet0(xP) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ( xP = cS1241(xU,xf,xT)
    & ! [X0] :
        ( ( aElementOf0(X0,xP)
          | ( ~ aUpperBoundOfIn0(X0,xT,xU)
            & ? [X1] :
                ( ~ sdtlseqdt0(X1,X0)
                & aElementOf0(X1,xT) ) )
          | ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
          | ~ aElementOf0(X0,xU) )
        & ( ( aUpperBoundOfIn0(X0,xT,xU)
            & ! [X2] :
                ( sdtlseqdt0(X2,X0)
                | ~ aElementOf0(X2,xT) )
            & sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
            & aElementOf0(X0,xU) )
          | ~ aElementOf0(X0,xP) ) )
    & aSet0(xP) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ( xP = cS1241(xU,xf,xT)
    & ! [X0] :
        ( ( ( ( aUpperBoundOfIn0(X0,xT,xU)
              | ! [X1] :
                  ( aElementOf0(X1,xT)
                 => sdtlseqdt0(X1,X0) ) )
            & sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
            & aElementOf0(X0,xU) )
         => aElementOf0(X0,xP) )
        & ( aElementOf0(X0,xP)
         => ( aUpperBoundOfIn0(X0,xT,xU)
            & ! [X2] :
                ( aElementOf0(X2,xT)
               => sdtlseqdt0(X2,X0) )
            & sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
            & aElementOf0(X0,xU) ) ) )
    & aSet0(xP) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ( xP = cS1241(xU,xf,xT)
    & ! [X0] :
        ( ( ( ( aUpperBoundOfIn0(X0,xT,xU)
              | ! [X1] :
                  ( aElementOf0(X1,xT)
                 => sdtlseqdt0(X1,X0) ) )
            & sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
            & aElementOf0(X0,xU) )
         => aElementOf0(X0,xP) )
        & ( aElementOf0(X0,xP)
         => ( aUpperBoundOfIn0(X0,xT,xU)
            & ! [X1] :
                ( aElementOf0(X1,xT)
               => sdtlseqdt0(X1,X0) )
            & sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
            & aElementOf0(X0,xU) ) ) )
    & aSet0(xP) ),
    file('/export/starexec/sandbox/tmp/tmp.5vc5qPtc8b/Vampire---4.8_27086',m__1244) ).

fof(f313,plain,
    ( ~ aSet0(xP)
    | sP2(xP) ),
    inference(duplicate_literal_removal,[],[f312]) ).

fof(f312,plain,
    ( ~ aSet0(xP)
    | sP2(xP)
    | sP2(xP)
    | ~ aSet0(xP) ),
    inference(resolution,[],[f274,f146]) ).

fof(f146,plain,
    ! [X2] :
      ( aElementOf0(sK8(X2),X2)
      | sP2(X2)
      | ~ aSet0(X2) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( isOn0(xf,xU)
    & xU = szRzazndt0(xf)
    & szDzozmdt0(xf) = szRzazndt0(xf)
    & isMonotone0(xf)
    & ! [X0,X1] :
        ( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aElementOf0(X1,szDzozmdt0(xf))
        | ~ aElementOf0(X0,szDzozmdt0(xf)) )
    & aFunction0(xf)
    & aCompleteLattice0(xU)
    & ! [X2] :
        ( sP2(X2)
        | ( ~ aSubsetOf0(X2,xU)
          & ( ( ~ aElementOf0(sK8(X2),xU)
              & aElementOf0(sK8(X2),X2) )
            | ~ aSet0(X2) ) ) )
    & aSet0(xU) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f65,f81]) ).

fof(f81,plain,
    ! [X2] :
      ( ? [X3] :
          ( ~ aElementOf0(X3,xU)
          & aElementOf0(X3,X2) )
     => ( ~ aElementOf0(sK8(X2),xU)
        & aElementOf0(sK8(X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ( isOn0(xf,xU)
    & xU = szRzazndt0(xf)
    & szDzozmdt0(xf) = szRzazndt0(xf)
    & isMonotone0(xf)
    & ! [X0,X1] :
        ( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aElementOf0(X1,szDzozmdt0(xf))
        | ~ aElementOf0(X0,szDzozmdt0(xf)) )
    & aFunction0(xf)
    & aCompleteLattice0(xU)
    & ! [X2] :
        ( sP2(X2)
        | ( ~ aSubsetOf0(X2,xU)
          & ( ? [X3] :
                ( ~ aElementOf0(X3,xU)
                & aElementOf0(X3,X2) )
            | ~ aSet0(X2) ) ) )
    & aSet0(xU) ),
    inference(definition_folding,[],[f37,f64,f63,f62]) ).

fof(f62,plain,
    ! [X2] :
      ( ? [X5] :
          ( aSupremumOfIn0(X5,X2,xU)
          & ! [X6] :
              ( sdtlseqdt0(X5,X6)
              | ( ~ aUpperBoundOfIn0(X6,X2,xU)
                & ( ? [X7] :
                      ( ~ sdtlseqdt0(X7,X6)
                      & aElementOf0(X7,X2) )
                  | ~ aElementOf0(X6,xU) ) ) )
          & aUpperBoundOfIn0(X5,X2,xU)
          & ! [X8] :
              ( sdtlseqdt0(X8,X5)
              | ~ aElementOf0(X8,X2) )
          & aElementOf0(X5,xU)
          & aElementOf0(X5,xU) )
      | ~ sP0(X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f63,plain,
    ! [X4,X2] :
      ( ! [X9] :
          ( sdtlseqdt0(X9,X4)
          | ( ~ aLowerBoundOfIn0(X9,X2,xU)
            & ( ? [X10] :
                  ( ~ sdtlseqdt0(X9,X10)
                  & aElementOf0(X10,X2) )
              | ~ aElementOf0(X9,xU) ) ) )
      | ~ sP1(X4,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f37,plain,
    ( isOn0(xf,xU)
    & xU = szRzazndt0(xf)
    & szDzozmdt0(xf) = szRzazndt0(xf)
    & isMonotone0(xf)
    & ! [X0,X1] :
        ( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aElementOf0(X1,szDzozmdt0(xf))
        | ~ aElementOf0(X0,szDzozmdt0(xf)) )
    & aFunction0(xf)
    & aCompleteLattice0(xU)
    & ! [X2] :
        ( ? [X4] :
            ( ? [X5] :
                ( aSupremumOfIn0(X5,X2,xU)
                & ! [X6] :
                    ( sdtlseqdt0(X5,X6)
                    | ( ~ aUpperBoundOfIn0(X6,X2,xU)
                      & ( ? [X7] :
                            ( ~ sdtlseqdt0(X7,X6)
                            & aElementOf0(X7,X2) )
                        | ~ aElementOf0(X6,xU) ) ) )
                & aUpperBoundOfIn0(X5,X2,xU)
                & ! [X8] :
                    ( sdtlseqdt0(X8,X5)
                    | ~ aElementOf0(X8,X2) )
                & aElementOf0(X5,xU)
                & aElementOf0(X5,xU) )
            & aInfimumOfIn0(X4,X2,xU)
            & ! [X9] :
                ( sdtlseqdt0(X9,X4)
                | ( ~ aLowerBoundOfIn0(X9,X2,xU)
                  & ( ? [X10] :
                        ( ~ sdtlseqdt0(X9,X10)
                        & aElementOf0(X10,X2) )
                    | ~ aElementOf0(X9,xU) ) ) )
            & aLowerBoundOfIn0(X4,X2,xU)
            & ! [X11] :
                ( sdtlseqdt0(X4,X11)
                | ~ aElementOf0(X11,X2) )
            & aElementOf0(X4,xU)
            & aElementOf0(X4,xU) )
        | ( ~ aSubsetOf0(X2,xU)
          & ( ? [X3] :
                ( ~ aElementOf0(X3,xU)
                & aElementOf0(X3,X2) )
            | ~ aSet0(X2) ) ) )
    & aSet0(xU) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ( isOn0(xf,xU)
    & xU = szRzazndt0(xf)
    & szDzozmdt0(xf) = szRzazndt0(xf)
    & isMonotone0(xf)
    & ! [X0,X1] :
        ( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
        | ~ sdtlseqdt0(X0,X1)
        | ~ aElementOf0(X1,szDzozmdt0(xf))
        | ~ aElementOf0(X0,szDzozmdt0(xf)) )
    & aFunction0(xf)
    & aCompleteLattice0(xU)
    & ! [X2] :
        ( ? [X4] :
            ( ? [X5] :
                ( aSupremumOfIn0(X5,X2,xU)
                & ! [X6] :
                    ( sdtlseqdt0(X5,X6)
                    | ( ~ aUpperBoundOfIn0(X6,X2,xU)
                      & ( ? [X7] :
                            ( ~ sdtlseqdt0(X7,X6)
                            & aElementOf0(X7,X2) )
                        | ~ aElementOf0(X6,xU) ) ) )
                & aUpperBoundOfIn0(X5,X2,xU)
                & ! [X8] :
                    ( sdtlseqdt0(X8,X5)
                    | ~ aElementOf0(X8,X2) )
                & aElementOf0(X5,xU)
                & aElementOf0(X5,xU) )
            & aInfimumOfIn0(X4,X2,xU)
            & ! [X9] :
                ( sdtlseqdt0(X9,X4)
                | ( ~ aLowerBoundOfIn0(X9,X2,xU)
                  & ( ? [X10] :
                        ( ~ sdtlseqdt0(X9,X10)
                        & aElementOf0(X10,X2) )
                    | ~ aElementOf0(X9,xU) ) ) )
            & aLowerBoundOfIn0(X4,X2,xU)
            & ! [X11] :
                ( sdtlseqdt0(X4,X11)
                | ~ aElementOf0(X11,X2) )
            & aElementOf0(X4,xU)
            & aElementOf0(X4,xU) )
        | ( ~ aSubsetOf0(X2,xU)
          & ( ? [X3] :
                ( ~ aElementOf0(X3,xU)
                & aElementOf0(X3,X2) )
            | ~ aSet0(X2) ) ) )
    & aSet0(xU) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ( isOn0(xf,xU)
    & xU = szRzazndt0(xf)
    & szDzozmdt0(xf) = szRzazndt0(xf)
    & isMonotone0(xf)
    & ! [X0,X1] :
        ( ( aElementOf0(X1,szDzozmdt0(xf))
          & aElementOf0(X0,szDzozmdt0(xf)) )
       => ( sdtlseqdt0(X0,X1)
         => sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1)) ) )
    & aFunction0(xf)
    & aCompleteLattice0(xU)
    & ! [X2] :
        ( ( aSubsetOf0(X2,xU)
          | ( ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,xU) )
            & aSet0(X2) ) )
       => ? [X4] :
            ( ? [X5] :
                ( aSupremumOfIn0(X5,X2,xU)
                & ! [X6] :
                    ( ( aUpperBoundOfIn0(X6,X2,xU)
                      | ( ! [X7] :
                            ( aElementOf0(X7,X2)
                           => sdtlseqdt0(X7,X6) )
                        & aElementOf0(X6,xU) ) )
                   => sdtlseqdt0(X5,X6) )
                & aUpperBoundOfIn0(X5,X2,xU)
                & ! [X8] :
                    ( aElementOf0(X8,X2)
                   => sdtlseqdt0(X8,X5) )
                & aElementOf0(X5,xU)
                & aElementOf0(X5,xU) )
            & aInfimumOfIn0(X4,X2,xU)
            & ! [X9] :
                ( ( aLowerBoundOfIn0(X9,X2,xU)
                  | ( ! [X10] :
                        ( aElementOf0(X10,X2)
                       => sdtlseqdt0(X9,X10) )
                    & aElementOf0(X9,xU) ) )
               => sdtlseqdt0(X9,X4) )
            & aLowerBoundOfIn0(X4,X2,xU)
            & ! [X11] :
                ( aElementOf0(X11,X2)
               => sdtlseqdt0(X4,X11) )
            & aElementOf0(X4,xU)
            & aElementOf0(X4,xU) ) )
    & aSet0(xU) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ( isOn0(xf,xU)
    & xU = szRzazndt0(xf)
    & szDzozmdt0(xf) = szRzazndt0(xf)
    & isMonotone0(xf)
    & ! [X0,X1] :
        ( ( aElementOf0(X1,szDzozmdt0(xf))
          & aElementOf0(X0,szDzozmdt0(xf)) )
       => ( sdtlseqdt0(X0,X1)
         => sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1)) ) )
    & aFunction0(xf)
    & aCompleteLattice0(xU)
    & ! [X0] :
        ( ( aSubsetOf0(X0,xU)
          | ( ! [X1] :
                ( aElementOf0(X1,X0)
               => aElementOf0(X1,xU) )
            & aSet0(X0) ) )
       => ? [X1] :
            ( ? [X2] :
                ( aSupremumOfIn0(X2,X0,xU)
                & ! [X3] :
                    ( ( aUpperBoundOfIn0(X3,X0,xU)
                      | ( ! [X4] :
                            ( aElementOf0(X4,X0)
                           => sdtlseqdt0(X4,X3) )
                        & aElementOf0(X3,xU) ) )
                   => sdtlseqdt0(X2,X3) )
                & aUpperBoundOfIn0(X2,X0,xU)
                & ! [X3] :
                    ( aElementOf0(X3,X0)
                   => sdtlseqdt0(X3,X2) )
                & aElementOf0(X2,xU)
                & aElementOf0(X2,xU) )
            & aInfimumOfIn0(X1,X0,xU)
            & ! [X2] :
                ( ( aLowerBoundOfIn0(X2,X0,xU)
                  | ( ! [X3] :
                        ( aElementOf0(X3,X0)
                       => sdtlseqdt0(X2,X3) )
                    & aElementOf0(X2,xU) ) )
               => sdtlseqdt0(X2,X1) )
            & aLowerBoundOfIn0(X1,X0,xU)
            & ! [X2] :
                ( aElementOf0(X2,X0)
               => sdtlseqdt0(X1,X2) )
            & aElementOf0(X1,xU)
            & aElementOf0(X1,xU) ) )
    & aSet0(xU) ),
    file('/export/starexec/sandbox/tmp/tmp.5vc5qPtc8b/Vampire---4.8_27086',m__1123) ).

fof(f274,plain,
    ! [X0] :
      ( ~ aElementOf0(sK8(X0),xP)
      | ~ aSet0(X0)
      | sP2(X0) ),
    inference(resolution,[],[f147,f167]) ).

fof(f167,plain,
    ! [X0] :
      ( aElementOf0(X0,xU)
      | ~ aElementOf0(X0,xP) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f147,plain,
    ! [X2] :
      ( ~ aElementOf0(sK8(X2),xU)
      | sP2(X2)
      | ~ aSet0(X2) ),
    inference(cnf_transformation,[],[f82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : LAT385+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.16  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n018.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 12:34:32 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.5vc5qPtc8b/Vampire---4.8_27086
% 0.59/0.76  % (27200)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.77  % (27202)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.77  % (27195)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.77  % (27197)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.77  % (27196)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.77  % (27200)First to succeed.
% 0.59/0.77  % (27200)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27194"
% 0.59/0.77  % (27202)Also succeeded, but the first one will report.
% 0.59/0.77  % (27200)Refutation found. Thanks to Tanya!
% 0.59/0.77  % SZS status Theorem for Vampire---4
% 0.59/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77  % (27200)------------------------------
% 0.59/0.77  % (27200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (27200)Termination reason: Refutation
% 0.59/0.77  
% 0.59/0.77  % (27200)Memory used [KB]: 1152
% 0.59/0.77  % (27200)Time elapsed: 0.005 s
% 0.59/0.77  % (27200)Instructions burned: 12 (million)
% 0.59/0.77  % (27194)Success in time 0.391 s
% 0.59/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------