TSTP Solution File: SET665+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET665+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 : n023.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 18:25:16 EDT 2022

% Result   : Theorem 1.62s 0.60s
% Output   : Refutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  106 (  16 unt;   0 def)
%            Number of atoms       :  530 (  59 equ)
%            Maximal formula atoms :   15 (   5 avg)
%            Number of connectives :  691 ( 267   ~; 257   |; 118   &)
%                                         (  16 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-3 aty)
%            Number of variables   :  250 ( 211   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1169,plain,
    $false,
    inference(subsumption_resolution,[],[f1168,f310]) ).

fof(f310,plain,
    ilf_type(sF16,binary_relation_type),
    inference(subsumption_resolution,[],[f309,f151]) ).

fof(f151,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).

fof(f309,plain,
    ( ilf_type(sF16,binary_relation_type)
    | ~ ilf_type(sF16,set_type) ),
    inference(resolution,[],[f307,f182]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ relation_like(X0)
      | ~ ilf_type(X0,set_type)
      | ilf_type(X0,binary_relation_type) ),
    inference(duplicate_literal_removal,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X0,set_type)
      | ilf_type(X0,binary_relation_type)
      | ~ relation_like(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ( ( ilf_type(X0,binary_relation_type)
          | ~ ilf_type(X0,set_type)
          | ~ relation_like(X0) )
        & ( ( ilf_type(X0,set_type)
            & relation_like(X0) )
          | ~ ilf_type(X0,binary_relation_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ( ( ilf_type(X0,binary_relation_type)
          | ~ ilf_type(X0,set_type)
          | ~ relation_like(X0) )
        & ( ( ilf_type(X0,set_type)
            & relation_like(X0) )
          | ~ ilf_type(X0,binary_relation_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ( ilf_type(X0,binary_relation_type)
      <=> ( ilf_type(X0,set_type)
          & relation_like(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ilf_type(X0,binary_relation_type)
      <=> ( ilf_type(X0,set_type)
          & relation_like(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).

fof(f307,plain,
    relation_like(sF16),
    inference(superposition,[],[f305,f178]) ).

fof(f178,plain,
    cross_product(sK3,sK3) = sF16,
    introduced(function_definition,[]) ).

fof(f305,plain,
    ! [X8,X9] : relation_like(cross_product(X8,X9)),
    inference(subsumption_resolution,[],[f299,f212]) ).

fof(f212,plain,
    ! [X2,X3,X0] :
      ( ordered_pair(X2,X3) != sK8(X0)
      | relation_like(X0) ),
    inference(subsumption_resolution,[],[f211,f151]) ).

fof(f211,plain,
    ! [X2,X3,X0] :
      ( ~ ilf_type(X3,set_type)
      | relation_like(X0)
      | ordered_pair(X2,X3) != sK8(X0) ),
    inference(subsumption_resolution,[],[f210,f151]) ).

fof(f210,plain,
    ! [X2,X3,X0] :
      ( relation_like(X0)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,set_type)
      | ordered_pair(X2,X3) != sK8(X0) ),
    inference(subsumption_resolution,[],[f160,f151]) ).

fof(f160,plain,
    ! [X2,X3,X0] :
      ( ~ ilf_type(X0,set_type)
      | relation_like(X0)
      | ordered_pair(X2,X3) != sK8(X0)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,set_type) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ( ( relation_like(X0)
          | ( ilf_type(sK8(X0),set_type)
            & member(sK8(X0),X0)
            & ! [X2] :
                ( ~ ilf_type(X2,set_type)
                | ! [X3] :
                    ( ordered_pair(X2,X3) != sK8(X0)
                    | ~ ilf_type(X3,set_type) ) ) ) )
        & ( ! [X4] :
              ( ~ ilf_type(X4,set_type)
              | ~ member(X4,X0)
              | ( ilf_type(sK9(X4),set_type)
                & ordered_pair(sK9(X4),sK10(X4)) = X4
                & ilf_type(sK10(X4),set_type) ) )
          | ~ relation_like(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f95,f98,f97,f96]) ).

fof(f96,plain,
    ! [X0] :
      ( ? [X1] :
          ( ilf_type(X1,set_type)
          & member(X1,X0)
          & ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ! [X3] :
                  ( ordered_pair(X2,X3) != X1
                  | ~ ilf_type(X3,set_type) ) ) )
     => ( ilf_type(sK8(X0),set_type)
        & member(sK8(X0),X0)
        & ! [X2] :
            ( ~ ilf_type(X2,set_type)
            | ! [X3] :
                ( ordered_pair(X2,X3) != sK8(X0)
                | ~ ilf_type(X3,set_type) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ! [X4] :
      ( ? [X5] :
          ( ilf_type(X5,set_type)
          & ? [X6] :
              ( ordered_pair(X5,X6) = X4
              & ilf_type(X6,set_type) ) )
     => ( ilf_type(sK9(X4),set_type)
        & ? [X6] :
            ( ordered_pair(sK9(X4),X6) = X4
            & ilf_type(X6,set_type) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ! [X4] :
      ( ? [X6] :
          ( ordered_pair(sK9(X4),X6) = X4
          & ilf_type(X6,set_type) )
     => ( ordered_pair(sK9(X4),sK10(X4)) = X4
        & ilf_type(sK10(X4),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ! [X0] :
      ( ( ( relation_like(X0)
          | ? [X1] :
              ( ilf_type(X1,set_type)
              & member(X1,X0)
              & ! [X2] :
                  ( ~ ilf_type(X2,set_type)
                  | ! [X3] :
                      ( ordered_pair(X2,X3) != X1
                      | ~ ilf_type(X3,set_type) ) ) ) )
        & ( ! [X4] :
              ( ~ ilf_type(X4,set_type)
              | ~ member(X4,X0)
              | ? [X5] :
                  ( ilf_type(X5,set_type)
                  & ? [X6] :
                      ( ordered_pair(X5,X6) = X4
                      & ilf_type(X6,set_type) ) ) )
          | ~ relation_like(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ( ( relation_like(X0)
          | ? [X1] :
              ( ilf_type(X1,set_type)
              & member(X1,X0)
              & ! [X2] :
                  ( ~ ilf_type(X2,set_type)
                  | ! [X3] :
                      ( ordered_pair(X2,X3) != X1
                      | ~ ilf_type(X3,set_type) ) ) ) )
        & ( ! [X1] :
              ( ~ ilf_type(X1,set_type)
              | ~ member(X1,X0)
              | ? [X2] :
                  ( ilf_type(X2,set_type)
                  & ? [X3] :
                      ( ordered_pair(X2,X3) = X1
                      & ilf_type(X3,set_type) ) ) )
          | ~ relation_like(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ( relation_like(X0)
      <=> ! [X1] :
            ( ~ ilf_type(X1,set_type)
            | ~ member(X1,X0)
            | ? [X2] :
                ( ilf_type(X2,set_type)
                & ? [X3] :
                    ( ordered_pair(X2,X3) = X1
                    & ilf_type(X3,set_type) ) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ( relation_like(X0)
      <=> ! [X1] :
            ( ? [X2] :
                ( ilf_type(X2,set_type)
                & ? [X3] :
                    ( ordered_pair(X2,X3) = X1
                    & ilf_type(X3,set_type) ) )
            | ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( relation_like(X0)
      <=> ! [X1] :
            ( ilf_type(X1,set_type)
           => ( member(X1,X0)
             => ? [X2] :
                  ( ilf_type(X2,set_type)
                  & ? [X3] :
                      ( ordered_pair(X2,X3) = X1
                      & ilf_type(X3,set_type) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).

fof(f299,plain,
    ! [X8,X9] :
      ( ordered_pair(sK13(X8,X9,sK8(cross_product(X8,X9))),sK14(X8,X9,sK8(cross_product(X8,X9)))) = sK8(cross_product(X8,X9))
      | relation_like(cross_product(X8,X9)) ),
    inference(resolution,[],[f215,f222]) ).

fof(f222,plain,
    ! [X0] :
      ( member(sK8(X0),X0)
      | relation_like(X0) ),
    inference(subsumption_resolution,[],[f161,f151]) ).

fof(f161,plain,
    ! [X0] :
      ( member(sK8(X0),X0)
      | ~ ilf_type(X0,set_type)
      | relation_like(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f215,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,cross_product(X0,X1))
      | ordered_pair(sK13(X0,X1,X2),sK14(X0,X1,X2)) = X2 ),
    inference(subsumption_resolution,[],[f214,f151]) ).

fof(f214,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,cross_product(X0,X1))
      | ordered_pair(sK13(X0,X1,X2),sK14(X0,X1,X2)) = X2
      | ~ ilf_type(X1,set_type) ),
    inference(subsumption_resolution,[],[f213,f151]) ).

fof(f213,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ordered_pair(sK13(X0,X1,X2),sK14(X0,X1,X2)) = X2
      | ~ member(X2,cross_product(X0,X1)) ),
    inference(subsumption_resolution,[],[f172,f151]) ).

fof(f172,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,set_type)
      | ordered_pair(sK13(X0,X1,X2),sK14(X0,X1,X2)) = X2
      | ~ member(X2,cross_product(X0,X1))
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ( ( ( ilf_type(sK14(X0,X1,X2),set_type)
                    & ordered_pair(sK13(X0,X1,X2),sK14(X0,X1,X2)) = X2
                    & member(sK14(X0,X1,X2),X1)
                    & member(sK13(X0,X1,X2),X0)
                    & ilf_type(sK13(X0,X1,X2),set_type) )
                  | ~ member(X2,cross_product(X0,X1)) )
                & ( member(X2,cross_product(X0,X1))
                  | ! [X5] :
                      ( ! [X6] :
                          ( ~ ilf_type(X6,set_type)
                          | ordered_pair(X5,X6) != X2
                          | ~ member(X6,X1)
                          | ~ member(X5,X0) )
                      | ~ ilf_type(X5,set_type) ) ) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f107,f109,f108]) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( ilf_type(X4,set_type)
              & ordered_pair(X3,X4) = X2
              & member(X4,X1)
              & member(X3,X0) )
          & ilf_type(X3,set_type) )
     => ( ? [X4] :
            ( ilf_type(X4,set_type)
            & ordered_pair(sK13(X0,X1,X2),X4) = X2
            & member(X4,X1)
            & member(sK13(X0,X1,X2),X0) )
        & ilf_type(sK13(X0,X1,X2),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ilf_type(X4,set_type)
          & ordered_pair(sK13(X0,X1,X2),X4) = X2
          & member(X4,X1)
          & member(sK13(X0,X1,X2),X0) )
     => ( ilf_type(sK14(X0,X1,X2),set_type)
        & ordered_pair(sK13(X0,X1,X2),sK14(X0,X1,X2)) = X2
        & member(sK14(X0,X1,X2),X1)
        & member(sK13(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ( ( ? [X3] :
                      ( ? [X4] :
                          ( ilf_type(X4,set_type)
                          & ordered_pair(X3,X4) = X2
                          & member(X4,X1)
                          & member(X3,X0) )
                      & ilf_type(X3,set_type) )
                  | ~ member(X2,cross_product(X0,X1)) )
                & ( member(X2,cross_product(X0,X1))
                  | ! [X5] :
                      ( ! [X6] :
                          ( ~ ilf_type(X6,set_type)
                          | ordered_pair(X5,X6) != X2
                          | ~ member(X6,X1)
                          | ~ member(X5,X0) )
                      | ~ ilf_type(X5,set_type) ) ) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ( ( ? [X3] :
                      ( ? [X4] :
                          ( ilf_type(X4,set_type)
                          & ordered_pair(X3,X4) = X2
                          & member(X4,X1)
                          & member(X3,X0) )
                      & ilf_type(X3,set_type) )
                  | ~ member(X2,cross_product(X0,X1)) )
                & ( member(X2,cross_product(X0,X1))
                  | ! [X3] :
                      ( ! [X4] :
                          ( ~ ilf_type(X4,set_type)
                          | ordered_pair(X3,X4) != X2
                          | ~ member(X4,X1)
                          | ~ member(X3,X0) )
                      | ~ ilf_type(X3,set_type) ) ) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ( ? [X3] :
                    ( ? [X4] :
                        ( ilf_type(X4,set_type)
                        & ordered_pair(X3,X4) = X2
                        & member(X4,X1)
                        & member(X3,X0) )
                    & ilf_type(X3,set_type) )
              <=> member(X2,cross_product(X0,X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ( ? [X3] :
                    ( ? [X4] :
                        ( ilf_type(X4,set_type)
                        & ordered_pair(X3,X4) = X2
                        & member(X4,X1)
                        & member(X3,X0) )
                    & ilf_type(X3,set_type) )
              <=> member(X2,cross_product(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).

fof(f1168,plain,
    ~ ilf_type(sF16,binary_relation_type),
    inference(subsumption_resolution,[],[f1167,f179]) ).

fof(f179,plain,
    ~ subset(sF15,sF16),
    inference(definition_folding,[],[f138,f178,f177]) ).

fof(f177,plain,
    identity_relation_of(sK3) = sF15,
    introduced(function_definition,[]) ).

fof(f138,plain,
    ~ subset(identity_relation_of(sK3),cross_product(sK3,sK3)),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ~ subset(identity_relation_of(sK3),cross_product(sK3,sK3))
    & ilf_type(sK3,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f43,f79]) ).

fof(f79,plain,
    ( ? [X0] :
        ( ~ subset(identity_relation_of(X0),cross_product(X0,X0))
        & ilf_type(X0,set_type) )
   => ( ~ subset(identity_relation_of(sK3),cross_product(sK3,sK3))
      & ilf_type(sK3,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ? [X0] :
      ( ~ subset(identity_relation_of(X0),cross_product(X0,X0))
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => subset(identity_relation_of(X0),cross_product(X0,X0)) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => subset(identity_relation_of(X0),cross_product(X0,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_28) ).

fof(f1167,plain,
    ( subset(sF15,sF16)
    | ~ ilf_type(sF16,binary_relation_type) ),
    inference(resolution,[],[f1166,f436]) ).

fof(f436,plain,
    ! [X1] :
      ( member(sK4(sF15,X1),sK3)
      | subset(sF15,X1)
      | ~ ilf_type(X1,binary_relation_type) ),
    inference(subsumption_resolution,[],[f435,f231]) ).

fof(f231,plain,
    ilf_type(sF15,binary_relation_type),
    inference(superposition,[],[f187,f177]) ).

fof(f187,plain,
    ! [X0] : ilf_type(identity_relation_of(X0),binary_relation_type),
    inference(subsumption_resolution,[],[f156,f151]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ilf_type(identity_relation_of(X0),binary_relation_type) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ilf_type(identity_relation_of(X0),binary_relation_type)
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ilf_type(identity_relation_of(X0),binary_relation_type) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).

fof(f435,plain,
    ! [X1] :
      ( subset(sF15,X1)
      | ~ ilf_type(sF15,binary_relation_type)
      | ~ ilf_type(X1,binary_relation_type)
      | member(sK4(sF15,X1),sK3) ),
    inference(resolution,[],[f349,f144]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( member(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
      | subset(X0,X1)
      | ~ ilf_type(X0,binary_relation_type)
      | ~ ilf_type(X1,binary_relation_type) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ ilf_type(X0,binary_relation_type)
      | ! [X1] :
          ( ( ( subset(X0,X1)
              | ( ilf_type(sK4(X0,X1),set_type)
                & ~ member(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X1)
                & member(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
                & ilf_type(sK5(X0,X1),set_type) ) )
            & ( ! [X4] :
                  ( ~ ilf_type(X4,set_type)
                  | ! [X5] :
                      ( member(ordered_pair(X4,X5),X1)
                      | ~ member(ordered_pair(X4,X5),X0)
                      | ~ ilf_type(X5,set_type) ) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,binary_relation_type) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f82,f84,f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ilf_type(X2,set_type)
          & ? [X3] :
              ( ~ member(ordered_pair(X2,X3),X1)
              & member(ordered_pair(X2,X3),X0)
              & ilf_type(X3,set_type) ) )
     => ( ilf_type(sK4(X0,X1),set_type)
        & ? [X3] :
            ( ~ member(ordered_pair(sK4(X0,X1),X3),X1)
            & member(ordered_pair(sK4(X0,X1),X3),X0)
            & ilf_type(X3,set_type) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ member(ordered_pair(sK4(X0,X1),X3),X1)
          & member(ordered_pair(sK4(X0,X1),X3),X0)
          & ilf_type(X3,set_type) )
     => ( ~ member(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X1)
        & member(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
        & ilf_type(sK5(X0,X1),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ ilf_type(X0,binary_relation_type)
      | ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ilf_type(X2,set_type)
                  & ? [X3] :
                      ( ~ member(ordered_pair(X2,X3),X1)
                      & member(ordered_pair(X2,X3),X0)
                      & ilf_type(X3,set_type) ) ) )
            & ( ! [X4] :
                  ( ~ ilf_type(X4,set_type)
                  | ! [X5] :
                      ( member(ordered_pair(X4,X5),X1)
                      | ~ member(ordered_pair(X4,X5),X0)
                      | ~ ilf_type(X5,set_type) ) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,binary_relation_type) ) ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ ilf_type(X0,binary_relation_type)
      | ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ilf_type(X2,set_type)
                  & ? [X3] :
                      ( ~ member(ordered_pair(X2,X3),X1)
                      & member(ordered_pair(X2,X3),X0)
                      & ilf_type(X3,set_type) ) ) )
            & ( ! [X2] :
                  ( ~ ilf_type(X2,set_type)
                  | ! [X3] :
                      ( member(ordered_pair(X2,X3),X1)
                      | ~ member(ordered_pair(X2,X3),X0)
                      | ~ ilf_type(X3,set_type) ) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,binary_relation_type) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ ilf_type(X0,binary_relation_type)
      | ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( ~ ilf_type(X2,set_type)
                | ! [X3] :
                    ( member(ordered_pair(X2,X3),X1)
                    | ~ member(ordered_pair(X2,X3),X0)
                    | ~ ilf_type(X3,set_type) ) ) )
          | ~ ilf_type(X1,binary_relation_type) ) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ! [X3] :
                    ( member(ordered_pair(X2,X3),X1)
                    | ~ member(ordered_pair(X2,X3),X0)
                    | ~ ilf_type(X3,set_type) )
                | ~ ilf_type(X2,set_type) )
          <=> subset(X0,X1) )
          | ~ ilf_type(X1,binary_relation_type) )
      | ~ ilf_type(X0,binary_relation_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
     => ! [X1] :
          ( ilf_type(X1,binary_relation_type)
         => ( ! [X2] :
                ( ilf_type(X2,set_type)
               => ! [X3] :
                    ( ilf_type(X3,set_type)
                   => ( member(ordered_pair(X2,X3),X0)
                     => member(ordered_pair(X2,X3),X1) ) ) )
          <=> subset(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

fof(f349,plain,
    ! [X0,X1] :
      ( ~ member(ordered_pair(X0,X1),sF15)
      | member(X0,sK3) ),
    inference(subsumption_resolution,[],[f348,f151]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ member(ordered_pair(X0,X1),sF15)
      | member(X0,sK3) ),
    inference(subsumption_resolution,[],[f347,f151]) ).

fof(f347,plain,
    ! [X0,X1] :
      ( ~ ilf_type(sK3,set_type)
      | ~ member(ordered_pair(X0,X1),sF15)
      | member(X0,sK3)
      | ~ ilf_type(X1,set_type) ),
    inference(subsumption_resolution,[],[f345,f151]) ).

fof(f345,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(sK3,set_type)
      | ~ ilf_type(X1,set_type)
      | member(X0,sK3)
      | ~ member(ordered_pair(X0,X1),sF15) ),
    inference(superposition,[],[f129,f177]) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
      | ~ ilf_type(X0,set_type)
      | member(X1,X0)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X1,set_type) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ! [X2] :
              ( ( ( member(ordered_pair(X1,X2),identity_relation_of(X0))
                  | ~ member(X1,X0)
                  | X1 != X2 )
                & ( ( member(X1,X0)
                    & X1 = X2 )
                  | ~ member(ordered_pair(X1,X2),identity_relation_of(X0)) ) )
              | ~ ilf_type(X2,set_type) ) ) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ! [X2] :
              ( ( ( member(ordered_pair(X1,X2),identity_relation_of(X0))
                  | ~ member(X1,X0)
                  | X1 != X2 )
                & ( ( member(X1,X0)
                    & X1 = X2 )
                  | ~ member(ordered_pair(X1,X2),identity_relation_of(X0)) ) )
              | ~ ilf_type(X2,set_type) ) ) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ! [X2] :
              ( ( member(ordered_pair(X1,X2),identity_relation_of(X0))
              <=> ( member(X1,X0)
                  & X1 = X2 ) )
              | ~ ilf_type(X2,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)
             => ( member(ordered_pair(X1,X2),identity_relation_of(X0))
              <=> ( member(X1,X0)
                  & X1 = X2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

fof(f1166,plain,
    ~ member(sK4(sF15,sF16),sK3),
    inference(duplicate_literal_removal,[],[f1165]) ).

fof(f1165,plain,
    ( ~ member(sK4(sF15,sF16),sK3)
    | ~ member(sK4(sF15,sF16),sK3) ),
    inference(resolution,[],[f1103,f462]) ).

fof(f462,plain,
    ! [X0,X1] :
      ( member(ordered_pair(X0,X1),sF16)
      | ~ member(X0,sK3)
      | ~ member(X1,sK3) ),
    inference(subsumption_resolution,[],[f461,f151]) ).

fof(f461,plain,
    ! [X0,X1] :
      ( ~ member(X0,sK3)
      | ~ ilf_type(X0,set_type)
      | member(ordered_pair(X0,X1),sF16)
      | ~ member(X1,sK3) ),
    inference(subsumption_resolution,[],[f460,f151]) ).

fof(f460,plain,
    ! [X0,X1] :
      ( ~ member(X1,sK3)
      | ~ member(X0,sK3)
      | member(ordered_pair(X0,X1),sF16)
      | ~ ilf_type(sK3,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f450,f151]) ).

fof(f450,plain,
    ! [X0,X1] :
      ( member(ordered_pair(X0,X1),sF16)
      | ~ ilf_type(X1,set_type)
      | ~ member(X1,sK3)
      | ~ ilf_type(sK3,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ member(X0,sK3) ),
    inference(duplicate_literal_removal,[],[f449]) ).

fof(f449,plain,
    ! [X0,X1] :
      ( ~ member(X1,sK3)
      | ~ ilf_type(sK3,set_type)
      | ~ member(X0,sK3)
      | member(ordered_pair(X0,X1),sF16)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(sK3,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(superposition,[],[f122,f178]) ).

fof(f122,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(X0,X1),cross_product(X2,X3))
      | ~ ilf_type(X0,set_type)
      | ~ member(X1,X3)
      | ~ ilf_type(X3,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | ( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
                      | ~ member(X1,X3)
                      | ~ member(X0,X2) )
                    & ( ( member(X1,X3)
                        & member(X0,X2) )
                      | ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ) ) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | ( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
                      | ~ member(X1,X3)
                      | ~ member(X0,X2) )
                    & ( ( member(X1,X3)
                        & member(X0,X2) )
                      | ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ) ) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | ( member(ordered_pair(X0,X1),cross_product(X2,X3))
                  <=> ( member(X1,X3)
                      & member(X0,X2) ) ) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,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(X1,X3)
                      & member(X0,X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

fof(f1103,plain,
    ~ member(ordered_pair(sK4(sF15,sF16),sK4(sF15,sF16)),sF16),
    inference(subsumption_resolution,[],[f1102,f310]) ).

fof(f1102,plain,
    ( ~ member(ordered_pair(sK4(sF15,sF16),sK4(sF15,sF16)),sF16)
    | ~ ilf_type(sF16,binary_relation_type) ),
    inference(subsumption_resolution,[],[f1101,f179]) ).

fof(f1101,plain,
    ( ~ member(ordered_pair(sK4(sF15,sF16),sK4(sF15,sF16)),sF16)
    | subset(sF15,sF16)
    | ~ ilf_type(sF16,binary_relation_type) ),
    inference(subsumption_resolution,[],[f1098,f231]) ).

fof(f1098,plain,
    ( ~ ilf_type(sF15,binary_relation_type)
    | ~ member(ordered_pair(sK4(sF15,sF16),sK4(sF15,sF16)),sF16)
    | ~ ilf_type(sF16,binary_relation_type)
    | subset(sF15,sF16) ),
    inference(superposition,[],[f145,f1097]) ).

fof(f1097,plain,
    sK4(sF15,sF16) = sK5(sF15,sF16),
    inference(subsumption_resolution,[],[f1095,f310]) ).

fof(f1095,plain,
    ( ~ ilf_type(sF16,binary_relation_type)
    | sK4(sF15,sF16) = sK5(sF15,sF16) ),
    inference(resolution,[],[f379,f179]) ).

fof(f379,plain,
    ! [X10] :
      ( subset(sF15,X10)
      | ~ ilf_type(X10,binary_relation_type)
      | sK4(sF15,X10) = sK5(sF15,X10) ),
    inference(subsumption_resolution,[],[f365,f231]) ).

fof(f365,plain,
    ! [X10] :
      ( subset(sF15,X10)
      | sK4(sF15,X10) = sK5(sF15,X10)
      | ~ ilf_type(sF15,binary_relation_type)
      | ~ ilf_type(X10,binary_relation_type) ),
    inference(resolution,[],[f144,f255]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ~ member(ordered_pair(X0,X1),sF15)
      | X0 = X1 ),
    inference(superposition,[],[f203,f177]) ).

fof(f203,plain,
    ! [X2,X0,X1] :
      ( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
      | X1 = X2 ),
    inference(subsumption_resolution,[],[f202,f151]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
      | ~ ilf_type(X2,set_type)
      | X1 = X2 ),
    inference(subsumption_resolution,[],[f201,f151]) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X2,set_type)
      | X1 = X2 ),
    inference(subsumption_resolution,[],[f149,f151]) ).

fof(f149,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
      | ~ ilf_type(X0,set_type)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ( ( member(ordered_pair(X1,X2),identity_relation_of(X0))
                  | X1 != X2
                  | ~ member(X1,X0) )
                & ( ( X1 = X2
                    & member(X1,X0) )
                  | ~ member(ordered_pair(X1,X2),identity_relation_of(X0)) ) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ( ( member(ordered_pair(X1,X2),identity_relation_of(X0))
                  | X1 != X2
                  | ~ member(X1,X0) )
                & ( ( X1 = X2
                    & member(X1,X0) )
                  | ~ member(ordered_pair(X1,X2),identity_relation_of(X0)) ) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ( member(ordered_pair(X1,X2),identity_relation_of(X0))
              <=> ( X1 = X2
                  & member(X1,X0) ) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ( member(ordered_pair(X1,X2),identity_relation_of(X0))
              <=> ( X1 = X2
                  & member(X1,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ member(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X1)
      | ~ ilf_type(X0,binary_relation_type)
      | subset(X0,X1)
      | ~ ilf_type(X1,binary_relation_type) ),
    inference(cnf_transformation,[],[f85]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SET665+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13  % 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 : n023.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 14:31:50 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (8692)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (8700)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)
% 0.20/0.51  % (8689)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (8692)Instruction limit reached!
% 0.20/0.51  % (8692)------------------------------
% 0.20/0.51  % (8692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (8708)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)
% 0.20/0.51  % (8692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (8692)Termination reason: Unknown
% 0.20/0.51  % (8692)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (8692)Memory used [KB]: 5500
% 0.20/0.51  % (8692)Time elapsed: 0.095 s
% 0.20/0.51  % (8692)Instructions burned: 7 (million)
% 0.20/0.51  % (8692)------------------------------
% 0.20/0.51  % (8692)------------------------------
% 0.20/0.51  % (8688)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)
% 0.20/0.51  % (8697)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  % (8705)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)
% 0.20/0.52  % (8696)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)
% 0.20/0.52  % (8687)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)
% 0.20/0.53  % (8703)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (8686)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)
% 0.20/0.53  % (8704)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)
% 0.20/0.53  % (8713)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (8711)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)
% 0.20/0.53  % (8709)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.54  % (8706)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.54  % (8698)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.54  % (8701)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.54  % (8714)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.44/0.54  % (8695)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.54  % (8712)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.44/0.55  % (8685)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)
% 1.44/0.55  % (8693)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.44/0.55  % (8693)Instruction limit reached!
% 1.44/0.55  % (8693)------------------------------
% 1.44/0.55  % (8693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55  % (8693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55  % (8693)Termination reason: Unknown
% 1.44/0.55  % (8693)Termination phase: Preprocessing 3
% 1.44/0.55  
% 1.44/0.55  % (8693)Memory used [KB]: 895
% 1.44/0.55  % (8693)Time elapsed: 0.002 s
% 1.44/0.55  % (8693)Instructions burned: 2 (million)
% 1.44/0.55  % (8693)------------------------------
% 1.44/0.55  % (8693)------------------------------
% 1.44/0.55  % (8686)Refutation not found, incomplete strategy% (8686)------------------------------
% 1.44/0.55  % (8686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55  % (8686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55  % (8686)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.55  
% 1.44/0.55  % (8686)Memory used [KB]: 5500
% 1.44/0.55  % (8686)Time elapsed: 0.145 s
% 1.44/0.55  % (8686)Instructions burned: 6 (million)
% 1.44/0.55  % (8686)------------------------------
% 1.44/0.55  % (8686)------------------------------
% 1.44/0.55  % (8691)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.55  % (8690)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.44/0.55  % (8702)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.44/0.56  % (8710)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.62/0.56  % (8699)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)
% 1.62/0.56  % (8694)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)
% 1.62/0.57  % (8707)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.62/0.57  TRYING [1]
% 1.62/0.57  TRYING [2]
% 1.62/0.58  TRYING [1]
% 1.62/0.58  TRYING [2]
% 1.62/0.59  % (8700)First to succeed.
% 1.62/0.60  TRYING [3]
% 1.62/0.60  TRYING [1]
% 1.62/0.60  TRYING [3]
% 1.62/0.60  TRYING [2]
% 1.62/0.60  % (8700)Refutation found. Thanks to Tanya!
% 1.62/0.60  % SZS status Theorem for theBenchmark
% 1.62/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.61  % (8700)------------------------------
% 1.62/0.61  % (8700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.61  % (8700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.61  % (8700)Termination reason: Refutation
% 1.62/0.61  
% 1.62/0.61  % (8700)Memory used [KB]: 2302
% 1.62/0.61  % (8700)Time elapsed: 0.186 s
% 1.62/0.61  % (8700)Instructions burned: 61 (million)
% 1.62/0.61  % (8700)------------------------------
% 1.62/0.61  % (8700)------------------------------
% 1.62/0.61  % (8684)Success in time 0.252 s
%------------------------------------------------------------------------------