TSTP Solution File: SET935+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET935+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.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 09:19:44 EDT 2024

% Result   : Theorem 0.15s 0.35s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   95 (  19 unt;   0 def)
%            Number of atoms       :  293 (  37 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  316 ( 118   ~; 124   |;  49   &)
%                                         (  19 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  11 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :  129 ( 118   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1162,plain,
    $false,
    inference(avatar_sat_refutation,[],[f124,f949,f977,f1012,f1016,f1028,f1081,f1160]) ).

fof(f1160,plain,
    ~ spl7_10,
    inference(avatar_contradiction_clause,[],[f1159]) ).

fof(f1159,plain,
    ( $false
    | ~ spl7_10 ),
    inference(subsumption_resolution,[],[f1130,f88]) ).

fof(f88,plain,
    ~ subset(sK1,sK2),
    inference(resolution,[],[f63,f49]) ).

fof(f49,plain,
    ~ inclusion_comparable(sK1,sK2),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( ~ inclusion_comparable(sK1,sK2)
    & set_union2(powerset(sK1),powerset(sK2)) = powerset(set_union2(sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f21,f28]) ).

fof(f28,plain,
    ( ? [X0,X1] :
        ( ~ inclusion_comparable(X0,X1)
        & set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1)) )
   => ( ~ inclusion_comparable(sK1,sK2)
      & set_union2(powerset(sK1),powerset(sK2)) = powerset(set_union2(sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ? [X0,X1] :
      ( ~ inclusion_comparable(X0,X1)
      & set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,negated_conjecture,
    ~ ! [X0,X1] :
        ( set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1))
       => inclusion_comparable(X0,X1) ),
    inference(negated_conjecture,[],[f16]) ).

fof(f16,conjecture,
    ! [X0,X1] :
      ( set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1))
     => inclusion_comparable(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t82_zfmisc_1) ).

fof(f63,plain,
    ! [X0,X1] :
      ( inclusion_comparable(X0,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( inclusion_comparable(X0,X1)
        | ( ~ subset(X1,X0)
          & ~ subset(X0,X1) ) )
      & ( subset(X1,X0)
        | subset(X0,X1)
        | ~ inclusion_comparable(X0,X1) ) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( inclusion_comparable(X0,X1)
        | ( ~ subset(X1,X0)
          & ~ subset(X0,X1) ) )
      & ( subset(X1,X0)
        | subset(X0,X1)
        | ~ inclusion_comparable(X0,X1) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( inclusion_comparable(X0,X1)
    <=> ( subset(X1,X0)
        | subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_xboole_0) ).

fof(f1130,plain,
    ( subset(sK1,sK2)
    | ~ spl7_10 ),
    inference(superposition,[],[f96,f1117]) ).

fof(f1117,plain,
    ( sK2 = set_union2(sK2,sK1)
    | ~ spl7_10 ),
    inference(resolution,[],[f1113,f499]) ).

fof(f499,plain,
    ! [X0,X1] :
      ( ~ subset(set_union2(X1,X0),X0)
      | set_union2(X0,X1) = X0 ),
    inference(superposition,[],[f126,f54]) ).

fof(f54,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ subset(set_union2(X0,X1),X0)
      | set_union2(X0,X1) = X0 ),
    inference(resolution,[],[f61,f53]) ).

fof(f53,plain,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f30]) ).

fof(f30,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/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f1113,plain,
    ( subset(set_union2(sK1,sK2),sK2)
    | ~ spl7_10 ),
    inference(resolution,[],[f1027,f82]) ).

fof(f82,plain,
    ! [X3,X0] :
      ( ~ in(X3,powerset(X0))
      | subset(X3,X0) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X0,X1] :
      ( subset(X3,X0)
      | ~ in(X3,X1)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ( ( ~ subset(sK3(X0,X1),X0)
            | ~ in(sK3(X0,X1),X1) )
          & ( subset(sK3(X0,X1),X0)
            | in(sK3(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f35,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ subset(X2,X0)
            | ~ in(X2,X1) )
          & ( subset(X2,X0)
            | in(X2,X1) ) )
     => ( ( ~ subset(sK3(X0,X1),X0)
          | ~ in(sK3(X0,X1),X1) )
        & ( subset(sK3(X0,X1),X0)
          | in(sK3(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(rectify,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | ~ subset(X2,X0) )
            & ( subset(X2,X0)
              | ~ in(X2,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( powerset(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> subset(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).

fof(f1027,plain,
    ( in(set_union2(sK1,sK2),powerset(sK2))
    | ~ spl7_10 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1025,plain,
    ( spl7_10
  <=> in(set_union2(sK1,sK2),powerset(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).

fof(f96,plain,
    ! [X0,X1] : subset(X0,set_union2(X1,X0)),
    inference(superposition,[],[f53,f54]) ).

fof(f1081,plain,
    ~ spl7_9,
    inference(avatar_contradiction_clause,[],[f1080]) ).

fof(f1080,plain,
    ( $false
    | ~ spl7_9 ),
    inference(subsumption_resolution,[],[f1044,f90]) ).

fof(f90,plain,
    ~ subset(sK2,sK1),
    inference(resolution,[],[f64,f49]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( inclusion_comparable(X0,X1)
      | ~ subset(X1,X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f1044,plain,
    ( subset(sK2,sK1)
    | ~ spl7_9 ),
    inference(superposition,[],[f53,f1038]) ).

fof(f1038,plain,
    ( sK1 = set_union2(sK2,sK1)
    | ~ spl7_9 ),
    inference(resolution,[],[f1034,f626]) ).

fof(f626,plain,
    ! [X0,X1] :
      ( ~ subset(set_union2(X1,X0),X1)
      | set_union2(X0,X1) = X1 ),
    inference(superposition,[],[f127,f54]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ subset(set_union2(X0,X1),X1)
      | set_union2(X0,X1) = X1 ),
    inference(resolution,[],[f61,f96]) ).

fof(f1034,plain,
    ( subset(set_union2(sK1,sK2),sK1)
    | ~ spl7_9 ),
    inference(resolution,[],[f1023,f82]) ).

fof(f1023,plain,
    ( in(set_union2(sK1,sK2),powerset(sK1))
    | ~ spl7_9 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1021,plain,
    ( spl7_9
  <=> in(set_union2(sK1,sK2),powerset(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).

fof(f1028,plain,
    ( spl7_9
    | spl7_10 ),
    inference(avatar_split_clause,[],[f965,f1025,f1021]) ).

fof(f965,plain,
    ( in(set_union2(sK1,sK2),powerset(sK2))
    | in(set_union2(sK1,sK2),powerset(sK1)) ),
    inference(resolution,[],[f952,f50]) ).

fof(f50,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f952,plain,
    ! [X0] :
      ( ~ subset(X0,set_union2(sK1,sK2))
      | in(X0,powerset(sK2))
      | in(X0,powerset(sK1)) ),
    inference(resolution,[],[f233,f81]) ).

fof(f81,plain,
    ! [X3,X0] :
      ( in(X3,powerset(X0))
      | ~ subset(X3,X0) ),
    inference(equality_resolution,[],[f66]) ).

fof(f66,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | ~ subset(X3,X0)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ in(X0,powerset(set_union2(sK1,sK2)))
      | in(X0,powerset(sK1))
      | in(X0,powerset(sK2)) ),
    inference(resolution,[],[f69,f113]) ).

fof(f113,plain,
    sP0(powerset(sK2),powerset(sK1),powerset(set_union2(sK1,sK2))),
    inference(superposition,[],[f83,f48]) ).

fof(f48,plain,
    set_union2(powerset(sK1),powerset(sK2)) = powerset(set_union2(sK1,sK2)),
    inference(cnf_transformation,[],[f29]) ).

fof(f83,plain,
    ! [X0,X1] : sP0(X1,X0,set_union2(X0,X1)),
    inference(equality_resolution,[],[f75]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( sP0(X1,X0,X2)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ~ sP0(X1,X0,X2) )
      & ( sP0(X1,X0,X2)
        | set_union2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( set_union2(X0,X1) = X2
    <=> sP0(X1,X0,X2) ),
    inference(definition_folding,[],[f5,f26]) ).

fof(f26,plain,
    ! [X1,X0,X2] :
      ( sP0(X1,X0,X2)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( set_union2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f69,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP0(X0,X1,X2)
      | in(X4,X1)
      | ~ in(X4,X2)
      | in(X4,X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ( ( ( ~ in(sK4(X0,X1,X2),X0)
              & ~ in(sK4(X0,X1,X2),X1) )
            | ~ in(sK4(X0,X1,X2),X2) )
          & ( in(sK4(X0,X1,X2),X0)
            | in(sK4(X0,X1,X2),X1)
            | in(sK4(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X0)
                & ~ in(X4,X1) ) )
            & ( in(X4,X0)
              | in(X4,X1)
              | ~ in(X4,X2) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f40,f41]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ in(X3,X0)
              & ~ in(X3,X1) )
            | ~ in(X3,X2) )
          & ( in(X3,X0)
            | in(X3,X1)
            | in(X3,X2) ) )
     => ( ( ( ~ in(sK4(X0,X1,X2),X0)
            & ~ in(sK4(X0,X1,X2),X1) )
          | ~ in(sK4(X0,X1,X2),X2) )
        & ( in(sK4(X0,X1,X2),X0)
          | in(sK4(X0,X1,X2),X1)
          | in(sK4(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ? [X3] :
            ( ( ( ~ in(X3,X0)
                & ~ in(X3,X1) )
              | ~ in(X3,X2) )
            & ( in(X3,X0)
              | in(X3,X1)
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X0)
                & ~ in(X4,X1) ) )
            & ( in(X4,X0)
              | in(X4,X1)
              | ~ in(X4,X2) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ! [X1,X0,X2] :
      ( ( sP0(X1,X0,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) ) )
        | ~ sP0(X1,X0,X2) ) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X1,X0,X2] :
      ( ( sP0(X1,X0,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) ) )
        | ~ sP0(X1,X0,X2) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f1016,plain,
    ~ spl7_7,
    inference(avatar_contradiction_clause,[],[f1015]) ).

fof(f1015,plain,
    ( $false
    | ~ spl7_7 ),
    inference(subsumption_resolution,[],[f1013,f90]) ).

fof(f1013,plain,
    ( subset(sK2,sK1)
    | ~ spl7_7 ),
    inference(resolution,[],[f1007,f82]) ).

fof(f1007,plain,
    ( in(sK2,powerset(sK1))
    | ~ spl7_7 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1005,plain,
    ( spl7_7
  <=> in(sK2,powerset(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).

fof(f1012,plain,
    ( spl7_7
    | spl7_8 ),
    inference(avatar_split_clause,[],[f964,f1009,f1005]) ).

fof(f1009,plain,
    ( spl7_8
  <=> in(sK2,powerset(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).

fof(f964,plain,
    ( in(sK2,powerset(sK2))
    | in(sK2,powerset(sK1)) ),
    inference(resolution,[],[f952,f96]) ).

fof(f977,plain,
    ( spl7_5
    | spl7_6 ),
    inference(avatar_split_clause,[],[f963,f974,f970]) ).

fof(f970,plain,
    ( spl7_5
  <=> in(sK1,powerset(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

fof(f974,plain,
    ( spl7_6
  <=> in(sK1,powerset(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

fof(f963,plain,
    ( in(sK1,powerset(sK2))
    | in(sK1,powerset(sK1)) ),
    inference(resolution,[],[f952,f53]) ).

fof(f949,plain,
    ( ~ spl7_3
    | spl7_4 ),
    inference(avatar_split_clause,[],[f128,f946,f942]) ).

fof(f942,plain,
    ( spl7_3
  <=> subset(powerset(set_union2(sK1,sK2)),powerset(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f946,plain,
    ( spl7_4
  <=> powerset(sK1) = powerset(set_union2(sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f128,plain,
    ( powerset(sK1) = powerset(set_union2(sK1,sK2))
    | ~ subset(powerset(set_union2(sK1,sK2)),powerset(sK1)) ),
    inference(resolution,[],[f61,f110]) ).

fof(f110,plain,
    subset(powerset(sK1),powerset(set_union2(sK1,sK2))),
    inference(superposition,[],[f53,f48]) ).

fof(f124,plain,
    ( spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f111,f121,f117]) ).

fof(f117,plain,
    ( spl7_1
  <=> empty(powerset(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f121,plain,
    ( spl7_2
  <=> empty(powerset(set_union2(sK1,sK2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f111,plain,
    ( ~ empty(powerset(set_union2(sK1,sK2)))
    | empty(powerset(sK1)) ),
    inference(superposition,[],[f55,f48]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ empty(set_union2(X0,X1))
      | empty(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ empty(set_union2(X0,X1))
      | empty(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ empty(X0)
     => ~ empty(set_union2(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_xboole_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SET935+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30  % Computer : n004.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Fri May  3 16:25:37 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.31  % (32176)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (32179)WARNING: value z3 for option sas not known
% 0.15/0.32  % (32181)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)
% 0.15/0.32  % (32180)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32  % (32179)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)
% 0.15/0.32  % (32177)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32  % (32178)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32  % (32182)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)
% 0.15/0.32  % (32183)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)
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  TRYING [3]
% 0.15/0.33  TRYING [1]
% 0.15/0.33  TRYING [4]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  TRYING [3]
% 0.15/0.34  TRYING [5]
% 0.15/0.35  % (32179)First to succeed.
% 0.15/0.35  % (32179)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32176"
% 0.15/0.35  % (32179)Refutation found. Thanks to Tanya!
% 0.15/0.35  % SZS status Theorem for theBenchmark
% 0.15/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.35  % (32179)------------------------------
% 0.15/0.35  % (32179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.35  % (32179)Termination reason: Refutation
% 0.15/0.35  
% 0.15/0.35  % (32179)Memory used [KB]: 1142
% 0.15/0.35  % (32179)Time elapsed: 0.030 s
% 0.15/0.35  % (32179)Instructions burned: 62 (million)
% 0.15/0.35  % (32176)Success in time 0.044 s
%------------------------------------------------------------------------------