TSTP Solution File: SEU131+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU131+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n014.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 : Wed Aug 31 18:32:03 EDT 2022

% Result   : Theorem 2.12s 0.67s
% Output   : Refutation 2.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   80 (   3 unt;   0 def)
%            Number of atoms       :  329 (  58 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  398 ( 149   ~; 159   |;  67   &)
%                                         (  15 <=>;   7  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :  153 ( 133   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1399,plain,
    $false,
    inference(avatar_sat_refutation,[],[f227,f228,f605,f1398]) ).

fof(f1398,plain,
    ( ~ spl13_1
    | spl13_2 ),
    inference(avatar_contradiction_clause,[],[f1397]) ).

fof(f1397,plain,
    ( $false
    | ~ spl13_1
    | spl13_2 ),
    inference(subsumption_resolution,[],[f1396,f225]) ).

fof(f225,plain,
    ( ~ subset(sK3,sK4)
    | spl13_2 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl13_2
  <=> subset(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f1396,plain,
    ( subset(sK3,sK4)
    | ~ spl13_1 ),
    inference(duplicate_literal_removal,[],[f1393]) ).

fof(f1393,plain,
    ( subset(sK3,sK4)
    | subset(sK3,sK4)
    | ~ spl13_1 ),
    inference(resolution,[],[f1375,f198]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ~ in(sK10(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( in(sK10(X0,X1),X0)
          & ~ in(sK10(X0,X1),X1) ) )
      & ( ! [X3] :
            ( ~ in(X3,X0)
            | in(X3,X1) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f132,f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( in(X2,X0)
          & ~ in(X2,X1) )
     => ( in(sK10(X0,X1),X0)
        & ~ in(sK10(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) ) )
      & ( ! [X3] :
            ( ~ in(X3,X0)
            | in(X3,X1) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) ) )
      & ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) )
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f1375,plain,
    ( ! [X2] :
        ( in(sK10(sK3,X2),sK4)
        | subset(sK3,X2) )
    | ~ spl13_1 ),
    inference(resolution,[],[f1353,f199]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( in(sK10(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f1353,plain,
    ( ! [X4] :
        ( ~ in(X4,sK3)
        | in(X4,sK4) )
    | ~ spl13_1 ),
    inference(subsumption_resolution,[],[f1352,f204]) ).

fof(f204,plain,
    ! [X2] : ~ in(X2,empty_set),
    inference(equality_resolution,[],[f140]) ).

fof(f140,plain,
    ! [X2,X0] :
      ( ~ in(X2,X0)
      | empty_set != X0 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ( empty_set = X0
        | in(sK0(X0),X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f85,f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ? [X1] : in(X1,X0)
     => in(sK0(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X1] : ~ in(X1,X0)
        | empty_set != X0 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( empty_set = X0
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).

fof(f1352,plain,
    ( ! [X4] :
        ( ~ in(X4,sK3)
        | in(X4,sK4)
        | in(X4,empty_set) )
    | ~ spl13_1 ),
    inference(forward_demodulation,[],[f1351,f222]) ).

fof(f222,plain,
    ( empty_set = sF12
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl13_1
  <=> empty_set = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f1351,plain,
    ! [X4] :
      ( in(X4,sK4)
      | ~ in(X4,sK3)
      | in(X4,sF12) ),
    inference(superposition,[],[f210,f216]) ).

fof(f216,plain,
    set_difference(sK3,sK4) = sF12,
    introduced(function_definition,[]) ).

fof(f210,plain,
    ! [X2,X1,X4] :
      ( in(X4,set_difference(X2,X1))
      | in(X4,X1)
      | ~ in(X4,X2) ),
    inference(equality_resolution,[],[f180]) ).

fof(f180,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | in(X4,X1)
      | set_difference(X2,X1) != X0 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X2,X1) = X0
        | ( ( ~ in(sK7(X0,X1,X2),X2)
            | in(sK7(X0,X1,X2),X1)
            | ~ in(sK7(X0,X1,X2),X0) )
          & ( ( in(sK7(X0,X1,X2),X2)
              & ~ in(sK7(X0,X1,X2),X1) )
            | in(sK7(X0,X1,X2),X0) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X0)
              | ~ in(X4,X2)
              | in(X4,X1) )
            & ( ( in(X4,X2)
                & ~ in(X4,X1) )
              | ~ in(X4,X0) ) )
        | set_difference(X2,X1) != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f116,f117]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X2)
            | in(X3,X1)
            | ~ in(X3,X0) )
          & ( ( in(X3,X2)
              & ~ in(X3,X1) )
            | in(X3,X0) ) )
     => ( ( ~ in(sK7(X0,X1,X2),X2)
          | in(sK7(X0,X1,X2),X1)
          | ~ in(sK7(X0,X1,X2),X0) )
        & ( ( in(sK7(X0,X1,X2),X2)
            & ~ in(sK7(X0,X1,X2),X1) )
          | in(sK7(X0,X1,X2),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X2,X1) = X0
        | ? [X3] :
            ( ( ~ in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( in(X3,X2)
                & ~ in(X3,X1) )
              | in(X3,X0) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X0)
              | ~ in(X4,X2)
              | in(X4,X1) )
            & ( ( in(X4,X2)
                & ~ in(X4,X1) )
              | ~ in(X4,X0) ) )
        | set_difference(X2,X1) != X0 ) ),
    inference(rectify,[],[f115]) ).

fof(f115,plain,
    ! [X1,X2,X0] :
      ( ( set_difference(X0,X2) = X1
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | in(X3,X2)
              | ~ in(X3,X1) )
            & ( ( in(X3,X0)
                & ~ in(X3,X2) )
              | in(X3,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | in(X3,X2) )
            & ( ( in(X3,X0)
                & ~ in(X3,X2) )
              | ~ in(X3,X1) ) )
        | set_difference(X0,X2) != X1 ) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X1,X2,X0] :
      ( ( set_difference(X0,X2) = X1
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | in(X3,X2)
              | ~ in(X3,X1) )
            & ( ( in(X3,X0)
                & ~ in(X3,X2) )
              | in(X3,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | in(X3,X2) )
            & ( ( in(X3,X0)
                & ~ in(X3,X2) )
              | ~ in(X3,X1) ) )
        | set_difference(X0,X2) != X1 ) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X1,X2,X0] :
      ( set_difference(X0,X2) = X1
    <=> ! [X3] :
          ( in(X3,X1)
        <=> ( in(X3,X0)
            & ~ in(X3,X2) ) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X2,X1] :
      ( ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            & ~ in(X3,X1) ) )
    <=> set_difference(X0,X1) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(f605,plain,
    ( spl13_1
    | ~ spl13_2 ),
    inference(avatar_contradiction_clause,[],[f604]) ).

fof(f604,plain,
    ( $false
    | spl13_1
    | ~ spl13_2 ),
    inference(subsumption_resolution,[],[f603,f580]) ).

fof(f580,plain,
    ( in(sK0(sF12),sK4)
    | spl13_1
    | ~ spl13_2 ),
    inference(resolution,[],[f565,f539]) ).

fof(f539,plain,
    ( ! [X18] :
        ( ~ in(X18,sK3)
        | in(X18,sK4) )
    | ~ spl13_2 ),
    inference(superposition,[],[f206,f294]) ).

fof(f294,plain,
    ( set_intersection2(sK3,sK4) = sK3
    | ~ spl13_2 ),
    inference(resolution,[],[f156,f226]) ).

fof(f226,plain,
    ( subset(sK3,sK4)
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | set_intersection2(X0,X1) = X0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | set_intersection2(X0,X1) = X0 ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
     => set_intersection2(X0,X1) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).

fof(f206,plain,
    ! [X2,X0,X4] :
      ( ~ in(X4,set_intersection2(X0,X2))
      | in(X4,X2) ),
    inference(equality_resolution,[],[f146]) ).

fof(f146,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | set_intersection2(X0,X2) != X1 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X2) = X1
        | ( ( ~ in(sK1(X0,X1,X2),X1)
            | ~ in(sK1(X0,X1,X2),X0)
            | ~ in(sK1(X0,X1,X2),X2) )
          & ( in(sK1(X0,X1,X2),X1)
            | ( in(sK1(X0,X1,X2),X0)
              & in(sK1(X0,X1,X2),X2) ) ) ) )
      & ( ! [X4] :
            ( ( ( in(X4,X0)
                & in(X4,X2) )
              | ~ in(X4,X1) )
            & ( in(X4,X1)
              | ~ in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X2) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f91,f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X1)
            | ~ in(X3,X0)
            | ~ in(X3,X2) )
          & ( in(X3,X1)
            | ( in(X3,X0)
              & in(X3,X2) ) ) )
     => ( ( ~ in(sK1(X0,X1,X2),X1)
          | ~ in(sK1(X0,X1,X2),X0)
          | ~ in(sK1(X0,X1,X2),X2) )
        & ( in(sK1(X0,X1,X2),X1)
          | ( in(sK1(X0,X1,X2),X0)
            & in(sK1(X0,X1,X2),X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X2) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | ( in(X3,X0)
                & in(X3,X2) ) ) ) )
      & ( ! [X4] :
            ( ( ( in(X4,X0)
                & in(X4,X2) )
              | ~ in(X4,X1) )
            & ( in(X4,X1)
              | ~ in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X2) != X1 ) ),
    inference(rectify,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X2) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | ( in(X3,X0)
                & in(X3,X2) ) ) ) )
      & ( ! [X3] :
            ( ( ( in(X3,X0)
                & in(X3,X2) )
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X2) != X1 ) ),
    inference(flattening,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X2) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | ( in(X3,X0)
                & in(X3,X2) ) ) ) )
      & ( ! [X3] :
            ( ( ( in(X3,X0)
                & in(X3,X2) )
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X2) != X1 ) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( set_intersection2(X0,X2) = X1
    <=> ! [X3] :
          ( ( in(X3,X0)
            & in(X3,X2) )
        <=> in(X3,X1) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X2,X1] :
      ( ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) )
    <=> set_intersection2(X0,X1) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).

fof(f565,plain,
    ( in(sK0(sF12),sK3)
    | spl13_1 ),
    inference(subsumption_resolution,[],[f561,f221]) ).

fof(f221,plain,
    ( empty_set != sF12
    | spl13_1 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f561,plain,
    ( in(sK0(sF12),sK3)
    | empty_set = sF12 ),
    inference(resolution,[],[f553,f141]) ).

fof(f141,plain,
    ! [X0] :
      ( in(sK0(X0),X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f553,plain,
    ! [X4] :
      ( ~ in(X4,sF12)
      | in(X4,sK3) ),
    inference(superposition,[],[f211,f216]) ).

fof(f211,plain,
    ! [X2,X1,X4] :
      ( ~ in(X4,set_difference(X2,X1))
      | in(X4,X2) ),
    inference(equality_resolution,[],[f179]) ).

fof(f179,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X0)
      | set_difference(X2,X1) != X0 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f603,plain,
    ( ~ in(sK0(sF12),sK4)
    | spl13_1 ),
    inference(subsumption_resolution,[],[f599,f221]) ).

fof(f599,plain,
    ( empty_set = sF12
    | ~ in(sK0(sF12),sK4) ),
    inference(resolution,[],[f560,f141]) ).

fof(f560,plain,
    ! [X4] :
      ( ~ in(X4,sF12)
      | ~ in(X4,sK4) ),
    inference(superposition,[],[f212,f216]) ).

fof(f212,plain,
    ! [X2,X1,X4] :
      ( ~ in(X4,set_difference(X2,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f178]) ).

fof(f178,plain,
    ! [X2,X0,X1,X4] :
      ( ~ in(X4,X1)
      | ~ in(X4,X0)
      | set_difference(X2,X1) != X0 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f228,plain,
    ( ~ spl13_1
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f217,f224,f220]) ).

fof(f217,plain,
    ( ~ subset(sK3,sK4)
    | empty_set != sF12 ),
    inference(definition_folding,[],[f161,f216]) ).

fof(f161,plain,
    ( ~ subset(sK3,sK4)
    | empty_set != set_difference(sK3,sK4) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ( ( ~ subset(sK3,sK4)
      | empty_set != set_difference(sK3,sK4) )
    & ( subset(sK3,sK4)
      | empty_set = set_difference(sK3,sK4) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f99,f100]) ).

fof(f100,plain,
    ( ? [X0,X1] :
        ( ( ~ subset(X0,X1)
          | empty_set != set_difference(X0,X1) )
        & ( subset(X0,X1)
          | empty_set = set_difference(X0,X1) ) )
   => ( ( ~ subset(sK3,sK4)
        | empty_set != set_difference(sK3,sK4) )
      & ( subset(sK3,sK4)
        | empty_set = set_difference(sK3,sK4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0,X1] :
      ( ( ~ subset(X0,X1)
        | empty_set != set_difference(X0,X1) )
      & ( subset(X0,X1)
        | empty_set = set_difference(X0,X1) ) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f71,plain,
    ? [X0,X1] :
      ( empty_set = set_difference(X0,X1)
    <~> subset(X0,X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,negated_conjecture,
    ~ ! [X1,X0] :
        ( subset(X0,X1)
      <=> empty_set = set_difference(X0,X1) ),
    inference(negated_conjecture,[],[f20]) ).

fof(f20,conjecture,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> empty_set = set_difference(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l32_xboole_1) ).

fof(f227,plain,
    ( spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f218,f224,f220]) ).

fof(f218,plain,
    ( subset(sK3,sK4)
    | empty_set = sF12 ),
    inference(definition_folding,[],[f160,f216]) ).

fof(f160,plain,
    ( subset(sK3,sK4)
    | empty_set = set_difference(sK3,sK4) ),
    inference(cnf_transformation,[],[f101]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU131+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 14:42:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.26/0.55  % (12450)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.26/0.55  % (12457)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.26/0.55  % (12464)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.44/0.55  % (12465)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.44/0.55  % (12456)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.55  TRYING [1]
% 1.44/0.55  TRYING [2]
% 1.44/0.55  % (12457)Instruction limit reached!
% 1.44/0.55  % (12457)------------------------------
% 1.44/0.55  % (12457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55  TRYING [3]
% 1.44/0.55  % (12473)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.44/0.56  % (12474)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.56  % (12472)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.44/0.57  % (12452)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.44/0.57  % (12466)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.57  % (12477)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.44/0.57  % (12457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57  % (12457)Termination reason: Unknown
% 1.44/0.57  % (12457)Termination phase: Saturation
% 1.44/0.57  
% 1.44/0.57  % (12457)Memory used [KB]: 5628
% 1.44/0.57  % (12457)Time elapsed: 0.115 s
% 1.44/0.57  % (12457)Instructions burned: 8 (million)
% 1.44/0.57  % (12457)------------------------------
% 1.44/0.57  % (12457)------------------------------
% 1.44/0.57  TRYING [1]
% 1.44/0.57  TRYING [2]
% 1.44/0.57  TRYING [3]
% 1.44/0.57  % (12453)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.58  TRYING [4]
% 1.44/0.58  % (12475)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.44/0.58  % (12479)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.44/0.58  % (12455)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.44/0.58  % (12476)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.44/0.58  % (12467)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.44/0.58  % (12461)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.59  % (12460)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.59  % (12462)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.44/0.59  % (12463)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.59  % (12459)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.59  % (12471)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.59  % (12470)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.44/0.59  % (12456)Instruction limit reached!
% 1.44/0.59  % (12456)------------------------------
% 1.44/0.59  % (12456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.59  % (12456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.59  % (12456)Termination reason: Unknown
% 1.44/0.59  % (12456)Termination phase: Finite model building constraint generation
% 1.44/0.59  
% 1.44/0.59  % (12456)Memory used [KB]: 7931
% 1.44/0.59  % (12456)Time elapsed: 0.139 s
% 1.44/0.59  % (12456)Instructions burned: 53 (million)
% 1.44/0.59  % (12456)------------------------------
% 1.44/0.59  % (12456)------------------------------
% 1.44/0.60  % (12451)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.60  % (12458)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.44/0.60  % (12458)Instruction limit reached!
% 1.44/0.60  % (12458)------------------------------
% 1.44/0.60  % (12458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.60  % (12458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.60  % (12458)Termination reason: Unknown
% 1.44/0.60  % (12458)Termination phase: Preprocessing 2
% 1.44/0.60  
% 1.44/0.60  % (12458)Memory used [KB]: 895
% 1.44/0.60  % (12458)Time elapsed: 0.002 s
% 1.44/0.60  % (12458)Instructions burned: 2 (million)
% 1.44/0.60  % (12458)------------------------------
% 1.44/0.60  % (12458)------------------------------
% 1.44/0.60  % (12454)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.60  TRYING [4]
% 1.44/0.60  % (12478)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.60  % (12468)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.61  TRYING [1]
% 1.44/0.61  TRYING [2]
% 1.44/0.61  TRYING [3]
% 1.44/0.61  % (12469)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.62  % (12451)Refutation not found, incomplete strategy% (12451)------------------------------
% 1.44/0.62  % (12451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.63  % (12451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.63  % (12451)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.63  
% 1.44/0.63  % (12451)Memory used [KB]: 5628
% 1.44/0.63  % (12451)Time elapsed: 0.165 s
% 1.44/0.63  % (12451)Instructions burned: 13 (million)
% 1.44/0.63  % (12451)------------------------------
% 1.44/0.63  % (12451)------------------------------
% 2.12/0.64  % (12465)Instruction limit reached!
% 2.12/0.64  % (12465)------------------------------
% 2.12/0.64  % (12465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64  % (12465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64  % (12465)Termination reason: Unknown
% 2.12/0.64  % (12465)Termination phase: Saturation
% 2.12/0.64  
% 2.12/0.64  % (12465)Memory used [KB]: 1918
% 2.12/0.64  % (12465)Time elapsed: 0.198 s
% 2.12/0.64  % (12465)Instructions burned: 75 (million)
% 2.12/0.64  % (12465)------------------------------
% 2.12/0.64  % (12465)------------------------------
% 2.12/0.64  TRYING [4]
% 2.12/0.65  % (12452)Instruction limit reached!
% 2.12/0.65  % (12452)------------------------------
% 2.12/0.65  % (12452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65  % (12452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.65  % (12452)Termination reason: Unknown
% 2.12/0.65  % (12452)Termination phase: Saturation
% 2.12/0.65  
% 2.12/0.65  % (12452)Memory used [KB]: 1279
% 2.12/0.65  % (12452)Time elapsed: 0.223 s
% 2.12/0.65  % (12452)Instructions burned: 37 (million)
% 2.12/0.65  % (12452)------------------------------
% 2.12/0.65  % (12452)------------------------------
% 2.12/0.66  % (12453)Instruction limit reached!
% 2.12/0.66  % (12453)------------------------------
% 2.12/0.66  % (12453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66  % (12453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66  % (12453)Termination reason: Unknown
% 2.12/0.66  % (12453)Termination phase: Saturation
% 2.12/0.66  
% 2.12/0.66  % (12453)Memory used [KB]: 6012
% 2.12/0.66  % (12453)Time elapsed: 0.224 s
% 2.12/0.66  % (12453)Instructions burned: 51 (million)
% 2.12/0.66  % (12453)------------------------------
% 2.12/0.66  % (12453)------------------------------
% 2.12/0.67  % (12455)Instruction limit reached!
% 2.12/0.67  % (12455)------------------------------
% 2.12/0.67  % (12455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.67  % (12455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.67  % (12455)Termination reason: Unknown
% 2.12/0.67  % (12455)Termination phase: Saturation
% 2.12/0.67  
% 2.12/0.67  % (12455)Memory used [KB]: 5884
% 2.12/0.67  % (12455)Time elapsed: 0.239 s
% 2.12/0.67  % (12455)Instructions burned: 50 (million)
% 2.12/0.67  % (12455)------------------------------
% 2.12/0.67  % (12455)------------------------------
% 2.12/0.67  % (12460)Instruction limit reached!
% 2.12/0.67  % (12460)------------------------------
% 2.12/0.67  % (12460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.67  % (12460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.67  % (12460)Termination reason: Unknown
% 2.12/0.67  % (12460)Termination phase: Saturation
% 2.12/0.67  
% 2.12/0.67  % (12460)Memory used [KB]: 6140
% 2.12/0.67  % (12460)Time elapsed: 0.242 s
% 2.12/0.67  % (12460)Instructions burned: 51 (million)
% 2.12/0.67  % (12460)------------------------------
% 2.12/0.67  % (12460)------------------------------
% 2.12/0.67  % (12463)First to succeed.
% 2.12/0.67  % (12464)Instruction limit reached!
% 2.12/0.67  % (12464)------------------------------
% 2.12/0.67  % (12464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.67  % (12464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.67  % (12464)Termination reason: Unknown
% 2.12/0.67  % (12464)Termination phase: Saturation
% 2.12/0.67  
% 2.12/0.67  % (12464)Memory used [KB]: 6652
% 2.12/0.67  % (12464)Time elapsed: 0.047 s
% 2.12/0.67  % (12464)Instructions burned: 69 (million)
% 2.12/0.67  % (12464)------------------------------
% 2.12/0.67  % (12464)------------------------------
% 2.12/0.67  % (12463)Refutation found. Thanks to Tanya!
% 2.12/0.67  % SZS status Theorem for theBenchmark
% 2.12/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.67  % (12463)------------------------------
% 2.12/0.67  % (12463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.67  % (12463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.67  % (12463)Termination reason: Refutation
% 2.12/0.67  
% 2.12/0.67  % (12463)Memory used [KB]: 6012
% 2.12/0.67  % (12463)Time elapsed: 0.255 s
% 2.12/0.67  % (12463)Instructions burned: 43 (million)
% 2.12/0.67  % (12463)------------------------------
% 2.12/0.67  % (12463)------------------------------
% 2.12/0.67  % (12449)Success in time 0.304 s
%------------------------------------------------------------------------------