TSTP Solution File: SEV521+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SEV521+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n019.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 : Mon Jun 24 16:05:10 EDT 2024

% Result   : Theorem 3.41s 0.98s
% Output   : Refutation 3.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   90 (   7 unt;   0 def)
%            Number of atoms       :  326 (  35 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  359 ( 123   ~; 123   |;  76   &)
%                                         (  14 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :  145 ( 104   !;  41   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5713,plain,
    $false,
    inference(avatar_sat_refutation,[],[f441,f443,f469,f474,f492,f515,f628,f642,f5711]) ).

fof(f5711,plain,
    ( ~ spl13_11
    | ~ spl13_13 ),
    inference(avatar_contradiction_clause,[],[f5707]) ).

fof(f5707,plain,
    ( $false
    | ~ spl13_11
    | ~ spl13_13 ),
    inference(resolution,[],[f5644,f473]) ).

fof(f473,plain,
    ( member(sK6(singleton(sK1),sK1),sK1)
    | ~ spl13_13 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f471,plain,
    ( spl13_13
  <=> member(sK6(singleton(sK1),sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).

fof(f5644,plain,
    ( ~ member(sK6(singleton(sK1),sK1),sK1)
    | ~ spl13_11 ),
    inference(resolution,[],[f464,f138]) ).

fof(f138,plain,
    ! [X1] : member(X1,singleton(X1)),
    inference(equality_resolution,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ( member(X0,singleton(X1))
        | X0 != X1 )
      & ( X0 = X1
        | ~ member(X0,singleton(X1)) ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
    <=> X0 = X1 ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X2,X0] :
      ( member(X2,singleton(X0))
    <=> X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f464,plain,
    ( ! [X0] :
        ( ~ member(X0,singleton(sK1))
        | ~ member(sK6(singleton(sK1),sK1),X0) )
    | ~ spl13_11 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f463,plain,
    ( spl13_11
  <=> ! [X0] :
        ( ~ member(sK6(singleton(sK1),sK1),X0)
        | ~ member(X0,singleton(sK1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).

fof(f642,plain,
    ~ spl13_10,
    inference(avatar_contradiction_clause,[],[f641]) ).

fof(f641,plain,
    ( $false
    | ~ spl13_10 ),
    inference(resolution,[],[f461,f89]) ).

fof(f89,plain,
    ~ partition(singleton(sK1),sK1),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( ~ partition(singleton(sK1),sK1)
    & empty_set != sK1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f40,f47]) ).

fof(f47,plain,
    ( ? [X0] :
        ( ~ partition(singleton(X0),X0)
        & empty_set != X0 )
   => ( ~ partition(singleton(sK1),sK1)
      & empty_set != sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ? [X0] :
      ( ~ partition(singleton(X0),X0)
      & empty_set != X0 ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ~ ! [X0] :
        ( empty_set != X0
       => partition(singleton(X0),X0) ),
    inference(rectify,[],[f21]) ).

fof(f21,negated_conjecture,
    ~ ! [X3] :
        ( empty_set != X3
       => partition(singleton(X3),X3) ),
    inference(negated_conjecture,[],[f20]) ).

fof(f20,conjecture,
    ! [X3] :
      ( empty_set != X3
     => partition(singleton(X3),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f461,plain,
    ( partition(singleton(sK1),sK1)
    | ~ spl13_10 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f459,plain,
    ( spl13_10
  <=> partition(singleton(sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).

fof(f628,plain,
    ( ~ spl13_8
    | spl13_14 ),
    inference(avatar_contradiction_clause,[],[f627]) ).

fof(f627,plain,
    ( $false
    | ~ spl13_8
    | spl13_14 ),
    inference(trivial_inequality_removal,[],[f625]) ).

fof(f625,plain,
    ( sK1 != sK1
    | ~ spl13_8
    | spl13_14 ),
    inference(superposition,[],[f514,f603]) ).

fof(f603,plain,
    ( sK1 = sK3(singleton(sK1))
    | ~ spl13_8 ),
    inference(resolution,[],[f494,f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f494,plain,
    ( member(sK3(singleton(sK1)),singleton(sK1))
    | ~ spl13_8 ),
    inference(resolution,[],[f436,f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | member(sK3(X0),X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ( sK3(X0) != sK4(X0)
        & member(sK5(X0),sK4(X0))
        & member(sK5(X0),sK3(X0))
        & member(sK4(X0),X0)
        & member(sK3(X0),X0) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f54,f56,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( X1 != X2
          & ? [X3] :
              ( member(X3,X2)
              & member(X3,X1) )
          & member(X2,X0)
          & member(X1,X0) )
     => ( sK3(X0) != sK4(X0)
        & ? [X3] :
            ( member(X3,sK4(X0))
            & member(X3,sK3(X0)) )
        & member(sK4(X0),X0)
        & member(sK3(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f56,plain,
    ! [X0] :
      ( ? [X3] :
          ( member(X3,sK4(X0))
          & member(X3,sK3(X0)) )
     => ( member(sK5(X0),sK4(X0))
        & member(sK5(X0),sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( X1 != X2
          & ? [X3] :
              ( member(X3,X2)
              & member(X3,X1) )
          & member(X2,X0)
          & member(X1,X0) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ? [X2,X3] :
          ( X2 != X3
          & ? [X4] :
              ( member(X4,X3)
              & member(X4,X2) )
          & member(X3,X0)
          & member(X2,X0) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ? [X2,X3] :
          ( X2 != X3
          & ? [X4] :
              ( member(X4,X3)
              & member(X4,X2) )
          & member(X3,X0)
          & member(X2,X0) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f436,plain,
    ( sP0(singleton(sK1))
    | ~ spl13_8 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f434,plain,
    ( spl13_8
  <=> sP0(singleton(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).

fof(f514,plain,
    ( sK1 != sK3(singleton(sK1))
    | spl13_14 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f512,plain,
    ( spl13_14
  <=> sK1 = sK3(singleton(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).

fof(f515,plain,
    ( ~ spl13_8
    | ~ spl13_14
    | ~ spl13_8 ),
    inference(avatar_split_clause,[],[f509,f434,f512,f434]) ).

fof(f509,plain,
    ( sK1 != sK3(singleton(sK1))
    | ~ sP0(singleton(sK1))
    | ~ spl13_8 ),
    inference(superposition,[],[f98,f507]) ).

fof(f507,plain,
    ( sK1 = sK4(singleton(sK1))
    | ~ spl13_8 ),
    inference(resolution,[],[f493,f117]) ).

fof(f493,plain,
    ( member(sK4(singleton(sK1)),singleton(sK1))
    | ~ spl13_8 ),
    inference(resolution,[],[f436,f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | member(sK4(X0),X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f98,plain,
    ! [X0] :
      ( sK3(X0) != sK4(X0)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f492,plain,
    spl13_12,
    inference(avatar_contradiction_clause,[],[f491]) ).

fof(f491,plain,
    ( $false
    | spl13_12 ),
    inference(resolution,[],[f468,f166]) ).

fof(f166,plain,
    ! [X0] : subset(X0,X0),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( subset(X0,X0)
      | subset(X0,X0) ),
    inference(resolution,[],[f93,f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( member(sK2(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK2(X0,X1),X1)
          & member(sK2(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f50,f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
     => ( ~ member(sK2(X0,X1),X1)
        & member(sK2(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ member(sK2(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f468,plain,
    ( ~ subset(sK1,sK1)
    | spl13_12 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f466,plain,
    ( spl13_12
  <=> subset(sK1,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).

fof(f474,plain,
    ( spl13_10
    | spl13_13
    | spl13_8
    | ~ spl13_12
    | ~ spl13_7 ),
    inference(avatar_split_clause,[],[f456,f430,f466,f434,f471,f459]) ).

fof(f430,plain,
    ( spl13_7
  <=> sK1 = sK7(singleton(sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).

fof(f456,plain,
    ( ~ subset(sK1,sK1)
    | sP0(singleton(sK1))
    | member(sK6(singleton(sK1),sK1),sK1)
    | partition(singleton(sK1),sK1)
    | ~ spl13_7 ),
    inference(superposition,[],[f100,f432]) ).

fof(f432,plain,
    ( sK1 = sK7(singleton(sK1),sK1)
    | ~ spl13_7 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ subset(sK7(X0,X1),X1)
      | sP0(X0)
      | member(sK6(X0,X1),X1)
      | partition(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( partition(X0,X1)
      | sP0(X0)
      | ( ! [X3] :
            ( ~ member(sK6(X0,X1),X3)
            | ~ member(X3,X0) )
        & member(sK6(X0,X1),X1) )
      | ( ~ subset(sK7(X0,X1),X1)
        & member(sK7(X0,X1),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f58,f60,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ! [X3] :
              ( ~ member(X2,X3)
              | ~ member(X3,X0) )
          & member(X2,X1) )
     => ( ! [X3] :
            ( ~ member(sK6(X0,X1),X3)
            | ~ member(X3,X0) )
        & member(sK6(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ~ subset(X4,X1)
          & member(X4,X0) )
     => ( ~ subset(sK7(X0,X1),X1)
        & member(sK7(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( partition(X0,X1)
      | sP0(X0)
      | ? [X2] :
          ( ! [X3] :
              ( ~ member(X2,X3)
              | ~ member(X3,X0) )
          & member(X2,X1) )
      | ? [X4] :
          ( ~ subset(X4,X1)
          & member(X4,X0) ) ),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( partition(X0,X1)
      | sP0(X0)
      | ? [X5] :
          ( ! [X6] :
              ( ~ member(X5,X6)
              | ~ member(X6,X0) )
          & member(X5,X1) )
      | ? [X7] :
          ( ~ subset(X7,X1)
          & member(X7,X0) ) ),
    inference(definition_folding,[],[f43,f45]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( partition(X0,X1)
      | ? [X2,X3] :
          ( X2 != X3
          & ? [X4] :
              ( member(X4,X3)
              & member(X4,X2) )
          & member(X3,X0)
          & member(X2,X0) )
      | ? [X5] :
          ( ! [X6] :
              ( ~ member(X5,X6)
              | ~ member(X6,X0) )
          & member(X5,X1) )
      | ? [X7] :
          ( ~ subset(X7,X1)
          & member(X7,X0) ) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( partition(X0,X1)
      | ? [X2,X3] :
          ( X2 != X3
          & ? [X4] :
              ( member(X4,X3)
              & member(X4,X2) )
          & member(X3,X0)
          & member(X2,X0) )
      | ? [X5] :
          ( ! [X6] :
              ( ~ member(X5,X6)
              | ~ member(X6,X0) )
          & member(X5,X1) )
      | ? [X7] :
          ( ~ subset(X7,X1)
          & member(X7,X0) ) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3] :
            ( ( member(X3,X0)
              & member(X2,X0) )
           => ( ? [X4] :
                  ( member(X4,X3)
                  & member(X4,X2) )
             => X2 = X3 ) )
        & ! [X5] :
            ( member(X5,X1)
           => ? [X6] :
                ( member(X5,X6)
                & member(X6,X0) ) )
        & ! [X7] :
            ( member(X7,X0)
           => subset(X7,X1) ) )
     => partition(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( partition(X0,X1)
    <=> ( ! [X2,X3] :
            ( ( member(X3,X0)
              & member(X2,X0) )
           => ( ? [X4] :
                  ( member(X4,X3)
                  & member(X4,X2) )
             => X2 = X3 ) )
        & ! [X5] :
            ( member(X5,X1)
           => ? [X6] :
                ( member(X5,X6)
                & member(X6,X0) ) )
        & ! [X7] :
            ( member(X7,X0)
           => subset(X7,X1) ) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X3] :
      ( partition(X0,X3)
    <=> ( ! [X2,X4] :
            ( ( member(X4,X0)
              & member(X2,X0) )
           => ( ? [X5] :
                  ( member(X5,X4)
                  & member(X5,X2) )
             => X2 = X4 ) )
        & ! [X2] :
            ( member(X2,X3)
           => ? [X4] :
                ( member(X2,X4)
                & member(X4,X0) ) )
        & ! [X2] :
            ( member(X2,X0)
           => subset(X2,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f469,plain,
    ( spl13_10
    | spl13_11
    | spl13_8
    | ~ spl13_12
    | ~ spl13_7 ),
    inference(avatar_split_clause,[],[f455,f430,f466,f434,f463,f459]) ).

fof(f455,plain,
    ( ! [X0] :
        ( ~ subset(sK1,sK1)
        | sP0(singleton(sK1))
        | ~ member(sK6(singleton(sK1),sK1),X0)
        | ~ member(X0,singleton(sK1))
        | partition(singleton(sK1),sK1) )
    | ~ spl13_7 ),
    inference(superposition,[],[f102,f432]) ).

fof(f102,plain,
    ! [X3,X0,X1] :
      ( ~ subset(sK7(X0,X1),X1)
      | sP0(X0)
      | ~ member(sK6(X0,X1),X3)
      | ~ member(X3,X0)
      | partition(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f443,plain,
    spl13_9,
    inference(avatar_contradiction_clause,[],[f442]) ).

fof(f442,plain,
    ( $false
    | spl13_9 ),
    inference(resolution,[],[f440,f138]) ).

fof(f440,plain,
    ( ~ member(sK1,singleton(sK1))
    | spl13_9 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f438,plain,
    ( spl13_9
  <=> member(sK1,singleton(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).

fof(f441,plain,
    ( spl13_7
    | spl13_8
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f428,f438,f434,f430]) ).

fof(f428,plain,
    ( ~ member(sK1,singleton(sK1))
    | sP0(singleton(sK1))
    | sK1 = sK7(singleton(sK1),sK1) ),
    inference(resolution,[],[f231,f89]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( partition(singleton(X0),X1)
      | ~ member(X1,singleton(X0))
      | sP0(singleton(X0))
      | sK7(singleton(X0),X1) = X0 ),
    inference(resolution,[],[f157,f117]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( member(sK7(X0,X1),X0)
      | partition(X0,X1)
      | ~ member(X1,X0)
      | sP0(X0) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( sP0(X0)
      | partition(X0,X1)
      | ~ member(X1,X0)
      | member(sK7(X0,X1),X0)
      | member(sK7(X0,X1),X0)
      | partition(X0,X1)
      | sP0(X0) ),
    inference(resolution,[],[f101,f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( member(sK6(X0,X1),X1)
      | member(sK7(X0,X1),X0)
      | partition(X0,X1)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f101,plain,
    ! [X3,X0,X1] :
      ( ~ member(sK6(X0,X1),X3)
      | sP0(X0)
      | partition(X0,X1)
      | ~ member(X3,X0)
      | member(sK7(X0,X1),X0) ),
    inference(cnf_transformation,[],[f61]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SEV521+1 : TPTP v8.2.0. Released v7.3.0.
% 0.00/0.12  % Command    : run_vampire %s %d SAT
% 0.10/0.32  % Computer : n019.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Fri Jun 21 19:29:54 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.17/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.17/0.34  Running first-order model finding
% 0.17/0.34  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.39  % (21485)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39  % (21491)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.17/0.39  % (21485)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39  % (21486)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.17/0.39  % (21485)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39  % (21489)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.17/0.39  % (21485)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39  % (21490)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.17/0.40  % (21485)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40  % (21492)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.17/0.40  % (21485)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40  % (21488)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.17/0.40  TRYING [1]
% 0.17/0.40  TRYING [2]
% 0.17/0.40  % (21485)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40  % (21487)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.17/0.40  TRYING [3]
% 0.17/0.41  TRYING [10]
% 0.17/0.41  TRYING [4]
% 0.17/0.43  TRYING [5]
% 0.17/0.45  % (21492)Instruction limit reached!
% 0.17/0.45  % (21492)------------------------------
% 0.17/0.45  % (21492)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.45  % (21492)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.45  % (21492)Termination reason: Time limit
% 0.17/0.45  % (21492)Termination phase: Saturation
% 0.17/0.45  
% 0.17/0.45  % (21492)Memory used [KB]: 2583
% 0.17/0.45  % (21492)Time elapsed: 0.051 s
% 0.17/0.45  % (21492)Instructions burned: 115 (million)
% 0.17/0.45  % (21490)Instruction limit reached!
% 0.17/0.45  % (21490)------------------------------
% 0.17/0.45  % (21490)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.45  % (21490)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.45  % (21490)Termination reason: Time limit
% 0.17/0.45  % (21490)Termination phase: Saturation
% 0.17/0.45  
% 0.17/0.45  % (21490)Memory used [KB]: 1655
% 0.17/0.45  % (21490)Time elapsed: 0.055 s
% 0.17/0.45  % (21490)Instructions burned: 105 (million)
% 0.17/0.46  % (21491)Instruction limit reached!
% 0.17/0.46  % (21491)------------------------------
% 0.17/0.46  % (21491)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.46  % (21491)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.46  % (21491)Termination reason: Time limit
% 0.17/0.46  % (21491)Termination phase: Saturation
% 0.17/0.46  
% 0.17/0.46  % (21491)Memory used [KB]: 1793
% 0.17/0.46  % (21491)Time elapsed: 0.077 s
% 0.17/0.46  % (21491)Instructions burned: 146 (million)
% 0.17/0.48  TRYING [6]
% 0.17/0.49  % (21485)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.49  % (21493)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.17/0.50  % (21485)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.50  % (21495)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.17/0.50  % (21485)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.50  % (21494)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.17/0.58  % (21494)Instruction limit reached!
% 0.17/0.58  % (21494)------------------------------
% 0.17/0.58  % (21494)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.58  % (21494)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.58  % (21494)Termination reason: Time limit
% 0.17/0.58  % (21494)Termination phase: Saturation
% 0.17/0.58  
% 0.17/0.58  % (21494)Memory used [KB]: 3585
% 0.17/0.58  % (21494)Time elapsed: 0.075 s
% 0.17/0.58  % (21494)Instructions burned: 176 (million)
% 0.17/0.58  TRYING [7]
% 1.78/0.60  TRYING [23]
% 1.92/0.64  % (21485)Running in auto input_syntax mode. Trying TPTP
% 1.92/0.64  % (21496)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.92/0.65  % (21495)Instruction limit reached!
% 1.92/0.65  % (21495)------------------------------
% 1.92/0.65  % (21495)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.92/0.65  % (21495)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.92/0.65  % (21495)Termination reason: Time limit
% 1.92/0.65  % (21495)Termination phase: Saturation
% 1.92/0.65  
% 1.92/0.65  % (21495)Memory used [KB]: 5377
% 1.92/0.65  % (21495)Time elapsed: 0.152 s
% 1.92/0.65  % (21495)Instructions burned: 270 (million)
% 1.98/0.69  % (21493)Instruction limit reached!
% 1.98/0.69  % (21493)------------------------------
% 1.98/0.69  % (21493)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.98/0.69  % (21493)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.98/0.69  % (21493)Termination reason: Time limit
% 1.98/0.69  % (21493)Termination phase: Saturation
% 1.98/0.69  
% 1.98/0.69  % (21493)Memory used [KB]: 3839
% 1.98/0.69  % (21493)Time elapsed: 0.205 s
% 1.98/0.69  % (21493)Instructions burned: 404 (million)
% 1.98/0.70  % (21485)Running in auto input_syntax mode. Trying TPTP
% 1.98/0.70  % (21497)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2996ds/7859Mi)
% 1.98/0.70  TRYING [1]
% 1.98/0.70  TRYING [2]
% 1.98/0.70  TRYING [3]
% 1.98/0.70  TRYING [4]
% 1.98/0.72  TRYING [5]
% 1.98/0.73  TRYING [8]
% 2.55/0.75  % (21485)Running in auto input_syntax mode. Trying TPTP
% 2.55/0.75  % (21498)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 2.55/0.76  TRYING [6]
% 2.73/0.84  TRYING [7]
% 3.41/0.98  % (21498)First to succeed.
% 3.41/0.98  % (21498)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21485"
% 3.41/0.98  % (21485)Running in auto input_syntax mode. Trying TPTP
% 3.41/0.98  % (21498)Refutation found. Thanks to Tanya!
% 3.41/0.98  % SZS status Theorem for theBenchmark
% 3.41/0.98  % SZS output start Proof for theBenchmark
% See solution above
% 3.41/0.98  % (21498)------------------------------
% 3.41/0.98  % (21498)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.41/0.98  % (21498)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.41/0.98  % (21498)Termination reason: Refutation
% 3.41/0.98  
% 3.41/0.98  % (21498)Memory used [KB]: 3333
% 3.41/0.98  % (21498)Time elapsed: 0.225 s
% 3.41/0.98  % (21498)Instructions burned: 471 (million)
% 3.41/0.98  % (21498)------------------------------
% 3.41/0.98  % (21498)------------------------------
% 3.41/0.98  % (21485)Success in time 0.635 s
%------------------------------------------------------------------------------