TSTP Solution File: SET646+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET646+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n001.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 18:25:12 EDT 2022

% Result   : Theorem 2.51s 0.70s
% Output   : Refutation 2.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  102 (  18 unt;   0 def)
%            Number of atoms       :  487 (   3 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  618 ( 233   ~; 220   |; 103   &)
%                                         (  17 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   8 con; 0-2 aty)
%            Number of variables   :  209 ( 176   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1226,plain,
    $false,
    inference(subsumption_resolution,[],[f1225,f177]) ).

fof(f177,plain,
    ~ ilf_type(sF16,sF17),
    inference(definition_folding,[],[f153,f176,f175,f174]) ).

fof(f174,plain,
    ordered_pair(sK10,sK11) = sF15,
    introduced(function_definition,[]) ).

fof(f175,plain,
    sF16 = singleton(sF15),
    introduced(function_definition,[]) ).

fof(f176,plain,
    sF17 = relation_type(sK8,sK9),
    introduced(function_definition,[]) ).

fof(f153,plain,
    ~ ilf_type(singleton(ordered_pair(sK10,sK11)),relation_type(sK8,sK9)),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ( ilf_type(sK8,set_type)
    & ilf_type(sK10,set_type)
    & ~ ilf_type(singleton(ordered_pair(sK10,sK11)),relation_type(sK8,sK9))
    & member(sK10,sK8)
    & ilf_type(sK11,set_type)
    & member(sK11,sK9)
    & ilf_type(sK9,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f40,f94,f93,f92,f91]) ).

fof(f91,plain,
    ( ? [X0] :
        ( ilf_type(X0,set_type)
        & ? [X1] :
            ( ? [X2] :
                ( ilf_type(X2,set_type)
                & ? [X3] :
                    ( ~ ilf_type(singleton(ordered_pair(X2,X3)),relation_type(X0,X1))
                    & member(X2,X0)
                    & ilf_type(X3,set_type)
                    & member(X3,X1) ) )
            & ilf_type(X1,set_type) ) )
   => ( ilf_type(sK8,set_type)
      & ? [X1] :
          ( ? [X2] :
              ( ilf_type(X2,set_type)
              & ? [X3] :
                  ( ~ ilf_type(singleton(ordered_pair(X2,X3)),relation_type(sK8,X1))
                  & member(X2,sK8)
                  & ilf_type(X3,set_type)
                  & member(X3,X1) ) )
          & ilf_type(X1,set_type) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ilf_type(X2,set_type)
            & ? [X3] :
                ( ~ ilf_type(singleton(ordered_pair(X2,X3)),relation_type(sK8,X1))
                & member(X2,sK8)
                & ilf_type(X3,set_type)
                & member(X3,X1) ) )
        & ilf_type(X1,set_type) )
   => ( ? [X2] :
          ( ilf_type(X2,set_type)
          & ? [X3] :
              ( ~ ilf_type(singleton(ordered_pair(X2,X3)),relation_type(sK8,sK9))
              & member(X2,sK8)
              & ilf_type(X3,set_type)
              & member(X3,sK9) ) )
      & ilf_type(sK9,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ( ? [X2] :
        ( ilf_type(X2,set_type)
        & ? [X3] :
            ( ~ ilf_type(singleton(ordered_pair(X2,X3)),relation_type(sK8,sK9))
            & member(X2,sK8)
            & ilf_type(X3,set_type)
            & member(X3,sK9) ) )
   => ( ilf_type(sK10,set_type)
      & ? [X3] :
          ( ~ ilf_type(singleton(ordered_pair(sK10,X3)),relation_type(sK8,sK9))
          & member(sK10,sK8)
          & ilf_type(X3,set_type)
          & member(X3,sK9) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f94,plain,
    ( ? [X3] :
        ( ~ ilf_type(singleton(ordered_pair(sK10,X3)),relation_type(sK8,sK9))
        & member(sK10,sK8)
        & ilf_type(X3,set_type)
        & member(X3,sK9) )
   => ( ~ ilf_type(singleton(ordered_pair(sK10,sK11)),relation_type(sK8,sK9))
      & member(sK10,sK8)
      & ilf_type(sK11,set_type)
      & member(sK11,sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ? [X0] :
      ( ilf_type(X0,set_type)
      & ? [X1] :
          ( ? [X2] :
              ( ilf_type(X2,set_type)
              & ? [X3] :
                  ( ~ ilf_type(singleton(ordered_pair(X2,X3)),relation_type(X0,X1))
                  & member(X2,X0)
                  & ilf_type(X3,set_type)
                  & member(X3,X1) ) )
          & ilf_type(X1,set_type) ) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ ilf_type(singleton(ordered_pair(X2,X3)),relation_type(X0,X1))
                  & member(X2,X0)
                  & member(X3,X1)
                  & ilf_type(X3,set_type) )
              & ilf_type(X2,set_type) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ! [X2] :
                ( ilf_type(X2,set_type)
               => ! [X3] :
                    ( ilf_type(X3,set_type)
                   => ( ( member(X2,X0)
                        & member(X3,X1) )
                     => ilf_type(singleton(ordered_pair(X2,X3)),relation_type(X0,X1)) ) ) ) ) ),
    inference(negated_conjecture,[],[f26]) ).

fof(f26,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ! [X3] :
                  ( ilf_type(X3,set_type)
                 => ( ( member(X2,X0)
                      & member(X3,X1) )
                   => ilf_type(singleton(ordered_pair(X2,X3)),relation_type(X0,X1)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_8) ).

fof(f1225,plain,
    ilf_type(sF16,sF17),
    inference(forward_demodulation,[],[f1224,f176]) ).

fof(f1224,plain,
    ilf_type(sF16,relation_type(sK8,sK9)),
    inference(subsumption_resolution,[],[f1223,f155]) ).

fof(f155,plain,
    ilf_type(sK8,set_type),
    inference(cnf_transformation,[],[f95]) ).

fof(f1223,plain,
    ( ~ ilf_type(sK8,set_type)
    | ilf_type(sF16,relation_type(sK8,sK9)) ),
    inference(subsumption_resolution,[],[f1220,f149]) ).

fof(f149,plain,
    ilf_type(sK9,set_type),
    inference(cnf_transformation,[],[f95]) ).

fof(f1220,plain,
    ( ilf_type(sF16,relation_type(sK8,sK9))
    | ~ ilf_type(sK9,set_type)
    | ~ ilf_type(sK8,set_type) ),
    inference(resolution,[],[f1218,f156]) ).

fof(f156,plain,
    ! [X3,X0,X1] :
      ( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ilf_type(X3,relation_type(X0,X1)) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
                | ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
               => ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) )
            & ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).

fof(f1218,plain,
    ilf_type(sF16,subset_type(cross_product(sK8,sK9))),
    inference(resolution,[],[f1096,f343]) ).

fof(f343,plain,
    ! [X2,X1] :
      ( ~ member(X2,power_set(X1))
      | ilf_type(X2,subset_type(X1)) ),
    inference(subsumption_resolution,[],[f342,f117]) ).

fof(f117,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25) ).

fof(f342,plain,
    ! [X2,X1] :
      ( ~ ilf_type(X2,set_type)
      | ~ member(X2,power_set(X1))
      | ilf_type(X2,subset_type(X1)) ),
    inference(subsumption_resolution,[],[f341,f117]) ).

fof(f341,plain,
    ! [X2,X1] :
      ( ~ ilf_type(power_set(X1),set_type)
      | ilf_type(X2,subset_type(X1))
      | ~ member(X2,power_set(X1))
      | ~ ilf_type(X2,set_type) ),
    inference(subsumption_resolution,[],[f340,f117]) ).

fof(f340,plain,
    ! [X2,X1] :
      ( ~ member(X2,power_set(X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(power_set(X1),set_type)
      | ilf_type(X2,subset_type(X1))
      | ~ ilf_type(X2,set_type) ),
    inference(duplicate_literal_removal,[],[f339]) ).

fof(f339,plain,
    ! [X2,X1] :
      ( ~ ilf_type(power_set(X1),set_type)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ member(X2,power_set(X1))
      | ilf_type(X2,subset_type(X1)) ),
    inference(resolution,[],[f134,f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ member(X0,X1) ),
    inference(subsumption_resolution,[],[f146,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | ~ ilf_type(X1,set_type)
      | ~ member(X1,X0)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ! [X1] :
              ( ~ ilf_type(X1,set_type)
              | ~ member(X1,X0) )
          | ~ empty(X0) )
        & ( empty(X0)
          | ( ilf_type(sK12(X0),set_type)
            & member(sK12(X0),X0) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f97,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ? [X2] :
          ( ilf_type(X2,set_type)
          & member(X2,X0) )
     => ( ilf_type(sK12(X0),set_type)
        & member(sK12(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ! [X1] :
              ( ~ ilf_type(X1,set_type)
              | ~ member(X1,X0) )
          | ~ empty(X0) )
        & ( empty(X0)
          | ? [X2] :
              ( ilf_type(X2,set_type)
              & member(X2,X0) ) ) ) ),
    inference(rectify,[],[f96]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ! [X1] :
              ( ~ ilf_type(X1,set_type)
              | ~ member(X1,X0) )
          | ~ empty(X0) )
        & ( empty(X0)
          | ? [X1] :
              ( ilf_type(X1,set_type)
              & member(X1,X0) ) ) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ! [X1] :
            ( ~ ilf_type(X1,set_type)
            | ~ member(X1,X0) )
      <=> empty(X0) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( empty(X0)
      <=> ! [X1] :
            ( ilf_type(X1,set_type)
           => ~ member(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ilf_type(X0,member_type(X1))
      | ~ ilf_type(X0,set_type)
      | empty(X1)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,X1)
              | ~ ilf_type(X0,member_type(X1)) )
            & ( ilf_type(X0,member_type(X1))
              | ~ member(X0,X1) ) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,X1)
          <=> ilf_type(X0,member_type(X1)) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,X1)
          <=> ilf_type(X0,member_type(X1)) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ( ~ empty(X1)
            & ilf_type(X1,set_type) )
         => ( member(X0,X1)
          <=> ilf_type(X0,member_type(X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ilf_type(X1,subset_type(X0)) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( ilf_type(X1,member_type(power_set(X0)))
              | ~ ilf_type(X1,subset_type(X0)) )
            & ( ilf_type(X1,subset_type(X0))
              | ~ ilf_type(X1,member_type(power_set(X0))) ) ) ) ),
    inference(nnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ilf_type(X1,member_type(power_set(X0)))
          <=> ilf_type(X1,subset_type(X0)) ) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ilf_type(X1,member_type(power_set(X0)))
          <=> ilf_type(X1,subset_type(X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).

fof(f1096,plain,
    member(sF16,power_set(cross_product(sK8,sK9))),
    inference(subsumption_resolution,[],[f1095,f117]) ).

fof(f1095,plain,
    ( ~ ilf_type(cross_product(sK8,sK9),set_type)
    | member(sF16,power_set(cross_product(sK8,sK9))) ),
    inference(subsumption_resolution,[],[f1094,f117]) ).

fof(f1094,plain,
    ( ~ ilf_type(sF16,set_type)
    | member(sF16,power_set(cross_product(sK8,sK9)))
    | ~ ilf_type(cross_product(sK8,sK9),set_type) ),
    inference(duplicate_literal_removal,[],[f1093]) ).

fof(f1093,plain,
    ( member(sF16,power_set(cross_product(sK8,sK9)))
    | ~ ilf_type(cross_product(sK8,sK9),set_type)
    | ~ ilf_type(sF16,set_type)
    | member(sF16,power_set(cross_product(sK8,sK9))) ),
    inference(resolution,[],[f960,f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ member(sK1(X0,X1),X1)
      | member(X0,power_set(X1))
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( member(X0,power_set(X1))
              | ( member(sK1(X0,X1),X0)
                & ilf_type(sK1(X0,X1),set_type)
                & ~ member(sK1(X0,X1),X1) ) )
            & ( ! [X3] :
                  ( ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type)
                  | member(X3,X1) )
              | ~ member(X0,power_set(X1)) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f67,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( member(X2,X0)
          & ilf_type(X2,set_type)
          & ~ member(X2,X1) )
     => ( member(sK1(X0,X1),X0)
        & ilf_type(sK1(X0,X1),set_type)
        & ~ member(sK1(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( member(X2,X0)
                  & ilf_type(X2,set_type)
                  & ~ member(X2,X1) ) )
            & ( ! [X3] :
                  ( ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type)
                  | member(X3,X1) )
              | ~ member(X0,power_set(X1)) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( member(X2,X0)
                  & ilf_type(X2,set_type)
                  & ~ member(X2,X1) ) )
            & ( ! [X2] :
                  ( ~ member(X2,X0)
                  | ~ ilf_type(X2,set_type)
                  | member(X2,X1) )
              | ~ member(X0,power_set(X1)) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ~ member(X2,X0)
                | ~ ilf_type(X2,set_type)
                | member(X2,X1) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).

fof(f960,plain,
    ! [X0] :
      ( member(sK1(sF16,X0),cross_product(sK8,sK9))
      | member(sF16,power_set(X0)) ),
    inference(subsumption_resolution,[],[f959,f117]) ).

fof(f959,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | member(sF16,power_set(X0))
      | member(sK1(sF16,X0),cross_product(sK8,sK9)) ),
    inference(subsumption_resolution,[],[f952,f117]) ).

fof(f952,plain,
    ! [X0] :
      ( member(sF16,power_set(X0))
      | ~ ilf_type(sF16,set_type)
      | member(sK1(sF16,X0),cross_product(sK8,sK9))
      | ~ ilf_type(X0,set_type) ),
    inference(resolution,[],[f947,f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( member(sK1(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | member(X0,power_set(X1))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f947,plain,
    ! [X0] :
      ( ~ member(X0,sF16)
      | member(X0,cross_product(sK8,sK9)) ),
    inference(resolution,[],[f721,f152]) ).

fof(f152,plain,
    member(sK10,sK8),
    inference(cnf_transformation,[],[f95]) ).

fof(f721,plain,
    ! [X0,X1] :
      ( ~ member(sK10,X1)
      | member(X0,cross_product(X1,sK9))
      | ~ member(X0,sF16) ),
    inference(resolution,[],[f709,f150]) ).

fof(f150,plain,
    member(sK11,sK9),
    inference(cnf_transformation,[],[f95]) ).

fof(f709,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK11,X0)
      | member(X2,cross_product(X1,X0))
      | ~ member(sK10,X1)
      | ~ member(X2,sF16) ),
    inference(resolution,[],[f705,f185]) ).

fof(f185,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | member(X3,X1)
      | ~ member(X3,X0) ),
    inference(subsumption_resolution,[],[f184,f117]) ).

fof(f184,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ subset(X0,X1)
      | ~ member(X3,X0)
      | ~ ilf_type(X1,set_type) ),
    inference(subsumption_resolution,[],[f183,f117]) ).

fof(f183,plain,
    ! [X3,X0,X1] :
      ( ~ ilf_type(X3,set_type)
      | ~ subset(X0,X1)
      | ~ ilf_type(X1,set_type)
      | member(X3,X1)
      | ~ member(X3,X0) ),
    inference(subsumption_resolution,[],[f161,f117]) ).

fof(f161,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ member(X3,X0)
      | ~ ilf_type(X0,set_type)
      | member(X3,X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X3,set_type) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ( ( subset(X0,X1)
              | ( ilf_type(sK13(X0,X1),set_type)
                & member(sK13(X0,X1),X0)
                & ~ member(sK13(X0,X1),X1) ) )
            & ( ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | ~ member(X3,X0)
                  | member(X3,X1) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f101,f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ilf_type(X2,set_type)
          & member(X2,X0)
          & ~ member(X2,X1) )
     => ( ilf_type(sK13(X0,X1),set_type)
        & member(sK13(X0,X1),X0)
        & ~ member(sK13(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ilf_type(X2,set_type)
                  & member(X2,X0)
                  & ~ member(X2,X1) ) )
            & ( ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | ~ member(X3,X0)
                  | member(X3,X1) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) ) ),
    inference(rectify,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ilf_type(X2,set_type)
                  & member(X2,X0)
                  & ~ member(X2,X1) ) )
            & ( ! [X2] :
                  ( ~ ilf_type(X2,set_type)
                  | ~ member(X2,X0)
                  | member(X2,X1) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( ~ ilf_type(X2,set_type)
                | ~ member(X2,X0)
                | member(X2,X1) ) )
          | ~ ilf_type(X1,set_type) ) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) )
          <=> subset(X0,X1) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) )
          <=> subset(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).

fof(f705,plain,
    ! [X0,X1] :
      ( subset(sF16,cross_product(X0,X1))
      | ~ member(sK11,X1)
      | ~ member(sK10,X0) ),
    inference(resolution,[],[f200,f683]) ).

fof(f683,plain,
    ! [X0,X1] :
      ( member(sF15,cross_product(X0,X1))
      | ~ member(sK10,X0)
      | ~ member(sK11,X1) ),
    inference(subsumption_resolution,[],[f682,f117]) ).

fof(f682,plain,
    ! [X0,X1] :
      ( ~ member(sK11,X1)
      | ~ ilf_type(X0,set_type)
      | member(sF15,cross_product(X0,X1))
      | ~ member(sK10,X0) ),
    inference(subsumption_resolution,[],[f681,f117]) ).

fof(f681,plain,
    ! [X0,X1] :
      ( member(sF15,cross_product(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ member(sK10,X0)
      | ~ member(sK11,X1) ),
    inference(subsumption_resolution,[],[f680,f154]) ).

fof(f154,plain,
    ilf_type(sK10,set_type),
    inference(cnf_transformation,[],[f95]) ).

fof(f680,plain,
    ! [X0,X1] :
      ( ~ member(sK10,X0)
      | member(sF15,cross_product(X0,X1))
      | ~ ilf_type(sK10,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ member(sK11,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f666,f151]) ).

fof(f151,plain,
    ilf_type(sK11,set_type),
    inference(cnf_transformation,[],[f95]) ).

fof(f666,plain,
    ! [X0,X1] :
      ( ~ member(sK10,X0)
      | ~ ilf_type(sK11,set_type)
      | ~ member(sK11,X1)
      | member(sF15,cross_product(X0,X1))
      | ~ ilf_type(sK10,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(superposition,[],[f143,f174]) ).

fof(f143,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(X0,X1),cross_product(X2,X3))
      | ~ ilf_type(X1,set_type)
      | ~ member(X1,X3)
      | ~ ilf_type(X2,set_type)
      | ~ member(X0,X2)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X3,set_type) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | ( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
                      | ~ member(X0,X2)
                      | ~ member(X1,X3) )
                    & ( ( member(X0,X2)
                        & member(X1,X3) )
                      | ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ) ) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) ) ),
    inference(flattening,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | ( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
                      | ~ member(X0,X2)
                      | ~ member(X1,X3) )
                    & ( ( member(X0,X2)
                        & member(X1,X3) )
                      | ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ) ) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) ) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | ( member(ordered_pair(X0,X1),cross_product(X2,X3))
                  <=> ( member(X0,X2)
                      & member(X1,X3) ) ) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ! [X3] :
                  ( ilf_type(X3,set_type)
                 => ( member(ordered_pair(X0,X1),cross_product(X2,X3))
                  <=> ( member(X0,X2)
                      & member(X1,X3) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).

fof(f200,plain,
    ! [X0] :
      ( ~ member(sF15,X0)
      | subset(sF16,X0) ),
    inference(subsumption_resolution,[],[f199,f117]) ).

fof(f199,plain,
    ! [X0] :
      ( ~ ilf_type(sF15,set_type)
      | subset(sF16,X0)
      | ~ member(sF15,X0) ),
    inference(subsumption_resolution,[],[f197,f117]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ member(sF15,X0)
      | subset(sF16,X0)
      | ~ ilf_type(sF15,set_type) ),
    inference(superposition,[],[f119,f175]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(singleton(X0),X1)
              | ~ member(X0,X1) )
            & ( member(X0,X1)
              | ~ subset(singleton(X0),X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f41]) ).

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

fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( subset(singleton(X0),X1)
          <=> member(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET646+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n001.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:30:46 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.42  % (14039)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)
% 0.19/0.45  % (14054)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)
% 0.19/0.45  % (14046)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.46  % (14046)Instruction limit reached!
% 0.19/0.46  % (14046)------------------------------
% 0.19/0.46  % (14046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (14046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (14046)Termination reason: Unknown
% 0.19/0.46  % (14046)Termination phase: Blocked clause elimination
% 0.19/0.46  
% 0.19/0.46  % (14046)Memory used [KB]: 1023
% 0.19/0.46  % (14046)Time elapsed: 0.004 s
% 0.19/0.46  % (14046)Instructions burned: 4 (million)
% 0.19/0.46  % (14046)------------------------------
% 0.19/0.46  % (14046)------------------------------
% 0.19/0.47  % (14039)Instruction limit reached!
% 0.19/0.47  % (14039)------------------------------
% 0.19/0.47  % (14039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (14039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (14039)Termination reason: Unknown
% 0.19/0.48  % (14039)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (14039)Memory used [KB]: 7036
% 0.19/0.48  % (14039)Time elapsed: 0.094 s
% 0.19/0.48  % (14039)Instructions burned: 51 (million)
% 0.19/0.48  % (14039)------------------------------
% 0.19/0.48  % (14039)------------------------------
% 0.19/0.50  % (14064)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)
% 0.19/0.50  % (14042)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (14056)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (14044)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)
% 0.19/0.51  % (14048)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  % (14060)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)
% 0.19/0.52  % (14052)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)
% 1.29/0.52  % (14065)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)
% 1.29/0.52  % (14063)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.29/0.53  TRYING [2]
% 1.29/0.53  % (14040)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)
% 1.29/0.53  % (14059)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.29/0.53  TRYING [3]
% 1.29/0.53  % (14051)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.54  % (14057)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)
% 1.29/0.54  % (14055)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.29/0.54  % (14045)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.54  % (14067)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)
% 1.49/0.54  % (14049)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)
% 1.49/0.54  % (14047)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)
% 1.49/0.55  % (14043)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)
% 1.49/0.55  % (14062)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.49/0.55  % (14038)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)
% 1.49/0.55  % (14041)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)
% 1.49/0.55  % (14068)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.49/0.56  % (14058)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)
% 1.49/0.56  % (14044)Instruction limit reached!
% 1.49/0.56  % (14044)------------------------------
% 1.49/0.56  % (14044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  % (14053)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)
% 1.49/0.56  % (14054)Instruction limit reached!
% 1.49/0.56  % (14054)------------------------------
% 1.49/0.56  % (14054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  % (14054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56  % (14054)Termination reason: Unknown
% 1.49/0.56  % (14054)Termination phase: Saturation
% 1.49/0.56  
% 1.49/0.56  % (14054)Memory used [KB]: 6652
% 1.49/0.56  % (14054)Time elapsed: 0.173 s
% 1.49/0.56  % (14054)Instructions burned: 99 (million)
% 1.49/0.56  % (14054)------------------------------
% 1.49/0.56  % (14054)------------------------------
% 1.49/0.56  % (14066)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.49/0.56  % (14045)Instruction limit reached!
% 1.49/0.56  % (14045)------------------------------
% 1.49/0.56  % (14045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  % (14045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56  % (14045)Termination reason: Unknown
% 1.49/0.56  % (14045)Termination phase: Saturation
% 1.49/0.56  
% 1.49/0.56  % (14045)Memory used [KB]: 5628
% 1.49/0.56  % (14045)Time elapsed: 0.162 s
% 1.49/0.56  % (14045)Instructions burned: 8 (million)
% 1.49/0.56  % (14045)------------------------------
% 1.49/0.56  % (14045)------------------------------
% 1.49/0.56  TRYING [1]
% 1.49/0.56  TRYING [2]
% 1.49/0.57  % (14050)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.49/0.57  % (14048)Instruction limit reached!
% 1.49/0.57  % (14048)------------------------------
% 1.49/0.57  % (14048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57  % (14048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57  % (14048)Termination reason: Unknown
% 1.49/0.57  % (14048)Termination phase: Saturation
% 1.49/0.57  
% 1.49/0.57  % (14048)Memory used [KB]: 6268
% 1.49/0.57  % (14048)Time elapsed: 0.157 s
% 1.49/0.57  % (14048)Instructions burned: 50 (million)
% 1.49/0.57  % (14048)------------------------------
% 1.49/0.57  % (14048)------------------------------
% 1.49/0.57  % (14061)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)
% 1.49/0.57  % (14044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57  % (14044)Termination reason: Unknown
% 1.49/0.57  % (14044)Termination phase: Finite model building SAT solving
% 1.49/0.57  
% 1.49/0.57  % (14044)Memory used [KB]: 7164
% 1.49/0.57  % (14044)Time elapsed: 0.140 s
% 1.49/0.57  % (14044)Instructions burned: 52 (million)
% 1.49/0.57  % (14044)------------------------------
% 1.49/0.57  % (14044)------------------------------
% 1.49/0.57  % (14069)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 1.49/0.58  TRYING [1]
% 1.49/0.58  TRYING [2]
% 1.49/0.59  % (14040)Instruction limit reached!
% 1.49/0.59  % (14040)------------------------------
% 1.49/0.59  % (14040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.59  TRYING [3]
% 1.49/0.59  TRYING [3]
% 1.49/0.60  % (14040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.60  % (14040)Termination reason: Unknown
% 1.49/0.60  % (14040)Termination phase: Saturation
% 1.49/0.60  
% 1.49/0.60  % (14040)Memory used [KB]: 1535
% 1.49/0.60  % (14040)Time elapsed: 0.189 s
% 1.49/0.60  % (14040)Instructions burned: 37 (million)
% 1.49/0.60  % (14040)------------------------------
% 1.49/0.60  % (14040)------------------------------
% 1.49/0.60  % (14055)Instruction limit reached!
% 1.49/0.60  % (14055)------------------------------
% 1.49/0.60  % (14055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.61  % (14042)Instruction limit reached!
% 1.49/0.61  % (14042)------------------------------
% 1.49/0.61  % (14042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.61  % (14047)Instruction limit reached!
% 1.49/0.61  % (14047)------------------------------
% 1.49/0.61  % (14047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.61  % (14055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.61  % (14055)Termination reason: Unknown
% 1.49/0.61  % (14055)Termination phase: Finite model building SAT solving
% 1.49/0.61  
% 1.49/0.61  % (14055)Memory used [KB]: 7164
% 1.49/0.61  % (14055)Time elapsed: 0.184 s
% 1.49/0.61  % (14055)Instructions burned: 60 (million)
% 1.49/0.61  % (14055)------------------------------
% 1.49/0.61  % (14055)------------------------------
% 1.49/0.62  % (14047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.62  % (14047)Termination reason: Unknown
% 1.49/0.62  % (14047)Termination phase: Saturation
% 1.49/0.62  
% 1.49/0.62  % (14047)Memory used [KB]: 1535
% 1.49/0.62  % (14047)Time elapsed: 0.223 s
% 1.49/0.62  % (14047)Instructions burned: 52 (million)
% 1.49/0.62  % (14047)------------------------------
% 1.49/0.62  % (14047)------------------------------
% 1.49/0.62  % (14052)Instruction limit reached!
% 1.49/0.62  % (14052)------------------------------
% 1.49/0.62  % (14052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.62  TRYING [4]
% 1.49/0.62  % (14052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.62  % (14052)Termination reason: Unknown
% 1.49/0.62  % (14052)Termination phase: Saturation
% 1.49/0.62  
% 1.49/0.62  % (14052)Memory used [KB]: 6780
% 1.49/0.62  % (14052)Time elapsed: 0.076 s
% 1.49/0.62  % (14052)Instructions burned: 68 (million)
% 1.49/0.62  % (14052)------------------------------
% 1.49/0.62  % (14052)------------------------------
% 1.49/0.63  % (14042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.63  % (14042)Termination reason: Unknown
% 1.49/0.63  % (14042)Termination phase: Saturation
% 1.49/0.63  
% 1.49/0.63  % (14042)Memory used [KB]: 6268
% 1.49/0.63  % (14042)Time elapsed: 0.219 s
% 1.49/0.63  % (14042)Instructions burned: 51 (million)
% 1.49/0.63  % (14042)------------------------------
% 1.49/0.63  % (14042)------------------------------
% 1.49/0.63  % (14064)Instruction limit reached!
% 1.49/0.63  % (14064)------------------------------
% 1.49/0.63  % (14064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.63  % (14064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.63  % (14064)Termination reason: Unknown
% 1.49/0.63  % (14064)Termination phase: Saturation
% 1.49/0.63  
% 1.49/0.63  % (14064)Memory used [KB]: 6780
% 1.49/0.63  % (14064)Time elapsed: 0.039 s
% 1.49/0.63  % (14064)Instructions burned: 68 (million)
% 1.49/0.63  % (14064)------------------------------
% 1.49/0.63  % (14064)------------------------------
% 1.49/0.63  % (14043)Instruction limit reached!
% 1.49/0.63  % (14043)------------------------------
% 1.49/0.63  % (14043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.63  % (14043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.63  % (14043)Termination reason: Unknown
% 1.49/0.63  % (14043)Termination phase: Saturation
% 1.49/0.63  
% 1.49/0.63  % (14043)Memory used [KB]: 6268
% 1.49/0.63  % (14043)Time elapsed: 0.219 s
% 1.49/0.63  % (14043)Instructions burned: 49 (million)
% 1.49/0.63  % (14043)------------------------------
% 1.49/0.63  % (14043)------------------------------
% 2.26/0.65  % (14041)Instruction limit reached!
% 2.26/0.65  % (14041)------------------------------
% 2.26/0.65  % (14041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.65  % (14041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.65  % (14041)Termination reason: Unknown
% 2.26/0.65  % (14041)Termination phase: Saturation
% 2.26/0.65  
% 2.26/0.65  % (14041)Memory used [KB]: 6268
% 2.26/0.65  % (14041)Time elapsed: 0.232 s
% 2.26/0.65  % (14041)Instructions burned: 51 (million)
% 2.26/0.65  % (14041)------------------------------
% 2.26/0.65  % (14041)------------------------------
% 2.26/0.66  % (14056)Instruction limit reached!
% 2.26/0.66  % (14056)------------------------------
% 2.26/0.66  % (14056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.66  % (14056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.66  % (14056)Termination reason: Unknown
% 2.26/0.66  % (14056)Termination phase: Saturation
% 2.26/0.66  
% 2.26/0.66  % (14056)Memory used [KB]: 6780
% 2.26/0.66  % (14056)Time elapsed: 0.262 s
% 2.26/0.66  % (14056)Instructions burned: 100 (million)
% 2.26/0.66  % (14056)------------------------------
% 2.26/0.66  % (14056)------------------------------
% 2.26/0.68  % (14071)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.26/0.69  % (14070)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.51/0.70  % (14072)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.51/0.70  % (14053)First to succeed.
% 2.51/0.70  % (14049)Instruction limit reached!
% 2.51/0.70  % (14049)------------------------------
% 2.51/0.70  % (14049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.70  % (14049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.70  % (14049)Termination reason: Unknown
% 2.51/0.70  % (14049)Termination phase: Saturation
% 2.51/0.70  
% 2.51/0.70  % (14049)Memory used [KB]: 7036
% 2.51/0.70  % (14049)Time elapsed: 0.307 s
% 2.51/0.70  % (14049)Instructions burned: 101 (million)
% 2.51/0.70  % (14049)------------------------------
% 2.51/0.70  % (14049)------------------------------
% 2.51/0.70  % (14053)Refutation found. Thanks to Tanya!
% 2.51/0.70  % SZS status Theorem for theBenchmark
% 2.51/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.51/0.71  % (14053)------------------------------
% 2.51/0.71  % (14053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.71  % (14053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.71  % (14053)Termination reason: Refutation
% 2.51/0.71  
% 2.51/0.71  % (14053)Memory used [KB]: 2046
% 2.51/0.71  % (14053)Time elapsed: 0.312 s
% 2.51/0.71  % (14053)Instructions burned: 71 (million)
% 2.51/0.71  % (14053)------------------------------
% 2.51/0.71  % (14053)------------------------------
% 2.51/0.71  % (14037)Success in time 0.351 s
%------------------------------------------------------------------------------