TSTP Solution File: SEU787_8 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU787_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 : Tue Apr 30 15:35:35 EDT 2024

% Result   : Theorem 0.22s 0.39s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   73 (  19 unt;   1 typ;   0 def)
%            Number of atoms       :  668 (  66 equ)
%            Maximal formula atoms :   20 (   9 avg)
%            Number of connectives :  380 ( 117   ~; 114   |;  72   &)
%                                         (  16 <=>;  61  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  401 ( 342 fml;  59 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   29 (  26 usr;  24 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  112 (  74   !;  38   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_9,type,
    sK5: $o ).

tff(f154,plain,
    $false,
    inference(avatar_sat_refutation,[],[f34,f39,f44,f49,f54,f59,f64,f69,f74,f79,f83,f92,f97,f105,f110,f153]) ).

tff(f153,plain,
    ( ~ spl6_2
    | ~ spl6_4
    | ~ spl6_5
    | ~ spl6_3
    | ~ spl6_14 ),
    inference(avatar_split_clause,[],[f106,f103,f41,f51,f46,f36]) ).

tff(f36,plain,
    ( spl6_2
  <=> breln1(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

tff(f46,plain,
    ( spl6_4
  <=> in(sK3,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

tff(f51,plain,
    ( spl6_5
  <=> in(sK4,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

tff(f41,plain,
    ( spl6_3
  <=> breln1(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

tff(f103,plain,
    ( spl6_14
  <=> ! [X0] :
        ( ~ breln1(X0,sK1)
        | ~ in(sK4,X0)
        | ~ in(sK3,X0)
        | ~ breln1(X0,sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).

tff(f106,plain,
    ( ~ in(sK4,sK0)
    | ~ in(sK3,sK0)
    | ~ breln1(sK0,sK1)
    | ~ spl6_3
    | ~ spl6_14 ),
    inference(resolution,[],[f104,f43]) ).

tff(f43,plain,
    ( breln1(sK0,sK2)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f41]) ).

tff(f104,plain,
    ( ! [X0: $i] :
        ( ~ breln1(X0,sK2)
        | ~ in(sK4,X0)
        | ~ in(sK3,X0)
        | ~ breln1(X0,sK1) )
    | ~ spl6_14 ),
    inference(avatar_component_clause,[],[f103]) ).

tff(f110,plain,
    ( spl6_15
    | ~ spl6_11 ),
    inference(avatar_split_clause,[],[f84,f81,f108]) ).

tff(f108,plain,
    ( spl6_15
  <=> ! [X0: $o,X1: $o] :
        ( ( (X0) = (X1) )
        | ( $false = (X1) )
        | ( $false = (X0) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).

tff(f81,plain,
    ( spl6_11
  <=> ! [X0: $o] :
        ( ( $true = (X0) )
        | ( $false = (X0) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).

tff(f84,plain,
    ( ! [X0: $o,X1: $o] :
        ( ( (X0) = (X1) )
        | ( $false = (X1) )
        | ( $false = (X0) ) )
    | ~ spl6_11 ),
    inference(superposition,[],[f82,f82]) ).

tff(f82,plain,
    ( ! [X0: $o] :
        ( ( $true = (X0) )
        | ( $false = (X0) ) )
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f81]) ).

tff(f105,plain,
    ( spl6_8
    | spl6_9
    | spl6_14
    | ~ spl6_7
    | ~ spl6_12 ),
    inference(avatar_split_clause,[],[f98,f90,f61,f103,f71,f66]) ).

tff(f66,plain,
    ( spl6_8
  <=> in(kpair(sK3,sK4),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

tff(f71,plain,
    ( spl6_9
  <=> in(kpair(sK3,sK4),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

tff(f61,plain,
    ( spl6_7
  <=> in(kpair(sK3,sK4),binunion(sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

tff(f90,plain,
    ( spl6_12
  <=> ! [X4,X0,X3,X2,X1] :
        ( in(kpair(X3,X4),X2)
        | ~ breln1(X0,X1)
        | ~ breln1(X0,X2)
        | ~ in(X3,X0)
        | ~ in(X4,X0)
        | ~ in(kpair(X3,X4),binunion(X1,X2))
        | in(kpair(X3,X4),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).

tff(f98,plain,
    ( ! [X0: $i] :
        ( ~ breln1(X0,sK1)
        | ~ breln1(X0,sK2)
        | ~ in(sK3,X0)
        | ~ in(sK4,X0)
        | in(kpair(sK3,sK4),sK2)
        | in(kpair(sK3,sK4),sK1) )
    | ~ spl6_7
    | ~ spl6_12 ),
    inference(resolution,[],[f91,f63]) ).

tff(f63,plain,
    ( in(kpair(sK3,sK4),binunion(sK1,sK2))
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f61]) ).

tff(f91,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
        ( ~ in(kpair(X3,X4),binunion(X1,X2))
        | ~ breln1(X0,X1)
        | ~ breln1(X0,X2)
        | ~ in(X3,X0)
        | ~ in(X4,X0)
        | in(kpair(X3,X4),X2)
        | in(kpair(X3,X4),X1) )
    | ~ spl6_12 ),
    inference(avatar_component_clause,[],[f90]) ).

tff(f97,plain,
    ( spl6_13
    | spl6_6
    | ~ spl6_11 ),
    inference(avatar_split_clause,[],[f88,f81,f56,f94]) ).

tff(f94,plain,
    ( spl6_13
  <=> ( $false = sK5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).

tff(f56,plain,
    ( spl6_6
  <=> ( $true = sK5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

tff(f88,plain,
    ( ( $false = sK5 )
    | spl6_6
    | ~ spl6_11 ),
    inference(trivial_inequality_removal,[],[f86]) ).

tff(f86,plain,
    ( ( $true != $true )
    | ( $false = sK5 )
    | spl6_6
    | ~ spl6_11 ),
    inference(superposition,[],[f58,f82]) ).

tff(f58,plain,
    ( ( $true != sK5 )
    | spl6_6 ),
    inference(avatar_component_clause,[],[f56]) ).

tff(f92,plain,
    ( ~ spl6_1
    | spl6_12 ),
    inference(avatar_split_clause,[],[f29,f90,f31]) ).

tff(f31,plain,
    ( spl6_1
  <=> breln1unionE ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

tff(f29,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
      ( in(kpair(X3,X4),X2)
      | in(kpair(X3,X4),X1)
      | ~ in(kpair(X3,X4),binunion(X1,X2))
      | ~ in(X4,X0)
      | ~ in(X3,X0)
      | ~ breln1(X0,X2)
      | ~ breln1(X0,X1)
      | ~ breln1unionE ),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ( ! [X0,X1] :
        ( ! [X2] :
            ( ! [X3] :
                ( ! [X4] :
                    ( in(kpair(X3,X4),X2)
                    | in(kpair(X3,X4),X1)
                    | ~ in(kpair(X3,X4),binunion(X1,X2))
                    | ~ in(X4,X0) )
                | ~ in(X3,X0) )
            | ~ breln1(X0,X2) )
        | ~ breln1(X0,X1) )
    | ~ breln1unionE ),
    inference(flattening,[],[f12]) ).

tff(f12,plain,
    ( ! [X0,X1] :
        ( ! [X2] :
            ( ! [X3] :
                ( ! [X4] :
                    ( in(kpair(X3,X4),X2)
                    | in(kpair(X3,X4),X1)
                    | ~ in(kpair(X3,X4),binunion(X1,X2))
                    | ~ in(X4,X0) )
                | ~ in(X3,X0) )
            | ~ breln1(X0,X2) )
        | ~ breln1(X0,X1) )
    | ~ breln1unionE ),
    inference(ennf_transformation,[],[f9]) ).

tff(f9,plain,
    ( breln1unionE
   => ! [X0,X1] :
        ( breln1(X0,X1)
       => ! [X2] :
            ( breln1(X0,X2)
           => ! [X3] :
                ( in(X3,X0)
               => ! [X4] :
                    ( in(X4,X0)
                   => ( in(kpair(X3,X4),binunion(X1,X2))
                     => ( in(kpair(X3,X4),X2)
                        | in(kpair(X3,X4),X1) ) ) ) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f8]) ).

tff(f8,plain,
    ( breln1unionE
  <=> ! [X0,X1] :
        ( breln1(X0,X1)
       => ! [X2] :
            ( breln1(X0,X2)
           => ! [X3] :
                ( in(X3,X0)
               => ! [X4] :
                    ( in(X4,X0)
                   => ( in(kpair(X3,X4),binunion(X1,X2))
                     => ( in(kpair(X3,X4),X2)
                        | in(kpair(X3,X4),X1) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f1]) ).

tff(f1,axiom,
    ( breln1unionE
    = ( ! [X0,X1] :
          ( breln1(X0,X1)
         => ! [X2] :
              ( breln1(X0,X2)
             => ! [X3] :
                  ( in(X3,X0)
                 => ! [X4] :
                      ( in(X4,X0)
                     => ( in(kpair(X3,X4),binunion(X1,X2))
                       => ( in(kpair(X3,X4),X2)
                          | in(kpair(X3,X4),X1) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1unionE) ).

tff(f83,plain,
    spl6_11,
    inference(avatar_split_clause,[],[f5,f81]) ).

tff(f5,plain,
    ! [X0: $o] :
      ( ( $true = (X0) )
      | ( $false = (X0) ) ),
    introduced(fool_axiom,[]) ).

tff(f79,plain,
    ~ spl6_10,
    inference(avatar_split_clause,[],[f4,f76]) ).

tff(f76,plain,
    ( spl6_10
  <=> ( $true = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

tff(f4,plain,
    $true != $false,
    introduced(fool_axiom,[]) ).

tff(f74,plain,
    ( ~ spl6_9
    | spl6_6 ),
    inference(avatar_split_clause,[],[f27,f56,f71]) ).

tff(f27,plain,
    ( ( $true = sK5 )
    | ~ in(kpair(sK3,sK4),sK2) ),
    inference(cnf_transformation,[],[f19]) ).

tff(f19,plain,
    ( ( $true != sK5 )
    & ( ( $true = sK5 )
      | ~ in(kpair(sK3,sK4),sK2) )
    & ( ( $true = sK5 )
      | ~ in(kpair(sK3,sK4),sK1) )
    & in(kpair(sK3,sK4),binunion(sK1,sK2))
    & in(sK4,sK0)
    & in(sK3,sK0)
    & breln1(sK0,sK2)
    & breln1(sK0,sK1)
    & breln1unionE ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f11,f18,f17,f16,f15,f14]) ).

tff(f14,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5: $o] :
                        ( ( $true != (X5) )
                        & ( ( $true = (X5) )
                          | ~ in(kpair(X3,X4),X2) )
                        & ( ( $true = (X5) )
                          | ~ in(kpair(X3,X4),X1) ) )
                    & in(kpair(X3,X4),binunion(X1,X2))
                    & in(X4,X0) )
                & in(X3,X0) )
            & breln1(X0,X2) )
        & breln1(X0,X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5: $o] :
                      ( ( $true != (X5) )
                      & ( ( $true = (X5) )
                        | ~ in(kpair(X3,X4),X2) )
                      & ( ( $true = (X5) )
                        | ~ in(kpair(X3,X4),sK1) ) )
                  & in(kpair(X3,X4),binunion(sK1,X2))
                  & in(X4,sK0) )
              & in(X3,sK0) )
          & breln1(sK0,X2) )
      & breln1(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ? [X5: $o] :
                    ( ( $true != (X5) )
                    & ( ( $true = (X5) )
                      | ~ in(kpair(X3,X4),X2) )
                    & ( ( $true = (X5) )
                      | ~ in(kpair(X3,X4),sK1) ) )
                & in(kpair(X3,X4),binunion(sK1,X2))
                & in(X4,sK0) )
            & in(X3,sK0) )
        & breln1(sK0,X2) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ? [X5: $o] :
                  ( ( $true != (X5) )
                  & ( ( $true = (X5) )
                    | ~ in(kpair(X3,X4),sK2) )
                  & ( ( $true = (X5) )
                    | ~ in(kpair(X3,X4),sK1) ) )
              & in(kpair(X3,X4),binunion(sK1,sK2))
              & in(X4,sK0) )
          & in(X3,sK0) )
      & breln1(sK0,sK2) ) ),
    introduced(choice_axiom,[]) ).

tff(f16,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ? [X5: $o] :
                ( ( $true != (X5) )
                & ( ( $true = (X5) )
                  | ~ in(kpair(X3,X4),sK2) )
                & ( ( $true = (X5) )
                  | ~ in(kpair(X3,X4),sK1) ) )
            & in(kpair(X3,X4),binunion(sK1,sK2))
            & in(X4,sK0) )
        & in(X3,sK0) )
   => ( ? [X4] :
          ( ? [X5: $o] :
              ( ( $true != (X5) )
              & ( ( $true = (X5) )
                | ~ in(kpair(sK3,X4),sK2) )
              & ( ( $true = (X5) )
                | ~ in(kpair(sK3,X4),sK1) ) )
          & in(kpair(sK3,X4),binunion(sK1,sK2))
          & in(X4,sK0) )
      & in(sK3,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f17,plain,
    ( ? [X4] :
        ( ? [X5: $o] :
            ( ( $true != (X5) )
            & ( ( $true = (X5) )
              | ~ in(kpair(sK3,X4),sK2) )
            & ( ( $true = (X5) )
              | ~ in(kpair(sK3,X4),sK1) ) )
        & in(kpair(sK3,X4),binunion(sK1,sK2))
        & in(X4,sK0) )
   => ( ? [X5: $o] :
          ( ( $true != (X5) )
          & ( ( $true = (X5) )
            | ~ in(kpair(sK3,sK4),sK2) )
          & ( ( $true = (X5) )
            | ~ in(kpair(sK3,sK4),sK1) ) )
      & in(kpair(sK3,sK4),binunion(sK1,sK2))
      & in(sK4,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f18,plain,
    ( ? [X5: $o] :
        ( ( $true != (X5) )
        & ( ( $true = (X5) )
          | ~ in(kpair(sK3,sK4),sK2) )
        & ( ( $true = (X5) )
          | ~ in(kpair(sK3,sK4),sK1) ) )
   => ( ( $true != sK5 )
      & ( ( $true = sK5 )
        | ~ in(kpair(sK3,sK4),sK2) )
      & ( ( $true = sK5 )
        | ~ in(kpair(sK3,sK4),sK1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f11,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5: $o] :
                        ( ( $true != (X5) )
                        & ( ( $true = (X5) )
                          | ~ in(kpair(X3,X4),X2) )
                        & ( ( $true = (X5) )
                          | ~ in(kpair(X3,X4),X1) ) )
                    & in(kpair(X3,X4),binunion(X1,X2))
                    & in(X4,X0) )
                & in(X3,X0) )
            & breln1(X0,X2) )
        & breln1(X0,X1) )
    & breln1unionE ),
    inference(flattening,[],[f10]) ).

tff(f10,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5: $o] :
                        ( ( $true != (X5) )
                        & ( ( $true = (X5) )
                          | ~ in(kpair(X3,X4),X2) )
                        & ( ( $true = (X5) )
                          | ~ in(kpair(X3,X4),X1) ) )
                    & in(kpair(X3,X4),binunion(X1,X2))
                    & in(X4,X0) )
                & in(X3,X0) )
            & breln1(X0,X2) )
        & breln1(X0,X1) )
    & breln1unionE ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,plain,
    ~ ( breln1unionE
     => ! [X0,X1] :
          ( breln1(X0,X1)
         => ! [X2] :
              ( breln1(X0,X2)
             => ! [X3] :
                  ( in(X3,X0)
                 => ! [X4] :
                      ( in(X4,X0)
                     => ( in(kpair(X3,X4),binunion(X1,X2))
                       => ! [X5: $o] :
                            ( ( in(kpair(X3,X4),X1)
                             => ( $true = (X5) ) )
                           => ( ( in(kpair(X3,X4),X2)
                               => ( $true = (X5) ) )
                             => ( $true = (X5) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f6]) ).

tff(f6,plain,
    ~ ( breln1unionE
     => ! [X0,X1] :
          ( breln1(X0,X1)
         => ! [X2] :
              ( breln1(X0,X2)
             => ! [X3] :
                  ( in(X3,X0)
                 => ! [X4] :
                      ( in(X4,X0)
                     => ( in(kpair(X3,X4),binunion(X1,X2))
                       => ! [X5: $o] :
                            ( ( in(kpair(X3,X4),X1)
                             => (X5) )
                           => ( ( in(kpair(X3,X4),X2)
                               => (X5) )
                             => (X5) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,negated_conjecture,
    ~ ( breln1unionE
     => ! [X0,X1] :
          ( breln1(X0,X1)
         => ! [X2] :
              ( breln1(X0,X2)
             => ! [X3] :
                  ( in(X3,X0)
                 => ! [X4] :
                      ( in(X4,X0)
                     => ( in(kpair(X3,X4),binunion(X1,X2))
                       => ! [X5: $o] :
                            ( ( in(kpair(X3,X4),X1)
                             => (X5) )
                           => ( ( in(kpair(X3,X4),X2)
                               => (X5) )
                             => (X5) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    ( breln1unionE
   => ! [X0,X1] :
        ( breln1(X0,X1)
       => ! [X2] :
            ( breln1(X0,X2)
           => ! [X3] :
                ( in(X3,X0)
               => ! [X4] :
                    ( in(X4,X0)
                   => ( in(kpair(X3,X4),binunion(X1,X2))
                     => ! [X5: $o] :
                          ( ( in(kpair(X3,X4),X1)
                           => (X5) )
                         => ( ( in(kpair(X3,X4),X2)
                             => (X5) )
                           => (X5) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1unionEcases) ).

tff(f69,plain,
    ( ~ spl6_8
    | spl6_6 ),
    inference(avatar_split_clause,[],[f26,f56,f66]) ).

tff(f26,plain,
    ( ( $true = sK5 )
    | ~ in(kpair(sK3,sK4),sK1) ),
    inference(cnf_transformation,[],[f19]) ).

tff(f64,plain,
    spl6_7,
    inference(avatar_split_clause,[],[f25,f61]) ).

tff(f25,plain,
    in(kpair(sK3,sK4),binunion(sK1,sK2)),
    inference(cnf_transformation,[],[f19]) ).

tff(f59,plain,
    ~ spl6_6,
    inference(avatar_split_clause,[],[f28,f56]) ).

tff(f28,plain,
    $true != sK5,
    inference(cnf_transformation,[],[f19]) ).

tff(f54,plain,
    spl6_5,
    inference(avatar_split_clause,[],[f24,f51]) ).

tff(f24,plain,
    in(sK4,sK0),
    inference(cnf_transformation,[],[f19]) ).

tff(f49,plain,
    spl6_4,
    inference(avatar_split_clause,[],[f23,f46]) ).

tff(f23,plain,
    in(sK3,sK0),
    inference(cnf_transformation,[],[f19]) ).

tff(f44,plain,
    spl6_3,
    inference(avatar_split_clause,[],[f22,f41]) ).

tff(f22,plain,
    breln1(sK0,sK2),
    inference(cnf_transformation,[],[f19]) ).

tff(f39,plain,
    spl6_2,
    inference(avatar_split_clause,[],[f21,f36]) ).

tff(f21,plain,
    breln1(sK0,sK1),
    inference(cnf_transformation,[],[f19]) ).

tff(f34,plain,
    spl6_1,
    inference(avatar_split_clause,[],[f20,f31]) ).

tff(f20,plain,
    breln1unionE,
    inference(cnf_transformation,[],[f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SEU787_8 : TPTP v8.1.2. Released v8.0.0.
% 0.04/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n029.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   : Mon Apr 29 20:35:49 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (8478)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (8483)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (8482)WARNING: value z3 for option sas not known
% 0.22/0.38  Detected minimum model sizes of [1,1]
% 0.22/0.38  Detected maximum model sizes of [max,3]
% 0.22/0.38  TRYING [1,1]
% 0.22/0.38  TRYING [1,2]
% 0.22/0.38  TRYING [2,2]
% 0.22/0.38  % (8481)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (8482)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)
% 0.22/0.38  % (8484)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)
% 0.22/0.38  % (8480)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  TRYING [1,3]
% 0.22/0.38  % (8487)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)
% 0.22/0.38  % (8485)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)
% 0.22/0.38  TRYING [2,3]
% 0.22/0.38  TRYING [3,2]
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.38  % (8484)First to succeed.
% 0.22/0.39  TRYING [3]
% 0.22/0.39  Detected minimum model sizes of [1,1]
% 0.22/0.39  Detected maximum model sizes of [max,3]
% 0.22/0.39  TRYING [1,1]
% 0.22/0.39  TRYING [1,2]
% 0.22/0.39  TRYING [1,3]
% 0.22/0.39  TRYING [3,3]
% 0.22/0.39  % (8482)Also succeeded, but the first one will report.
% 0.22/0.39  TRYING [2,3]
% 0.22/0.39  % (8484)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Theorem for theBenchmark
% 0.22/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39  % (8484)------------------------------
% 0.22/0.39  % (8484)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39  % (8484)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (8484)Memory used [KB]: 854
% 0.22/0.39  % (8484)Time elapsed: 0.006 s
% 0.22/0.39  % (8484)Instructions burned: 8 (million)
% 0.22/0.39  % (8484)------------------------------
% 0.22/0.39  % (8484)------------------------------
% 0.22/0.39  % (8478)Success in time 0.023 s
%------------------------------------------------------------------------------