TSTP Solution File: SET749+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET749+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n015.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 18:22:06 EDT 2022

% Result   : Theorem 1.70s 0.65s
% Output   : Refutation 1.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   93 (  29 unt;   0 def)
%            Number of atoms       :  434 (  14 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  492 ( 151   ~; 145   |; 159   &)
%                                         (  10 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-5 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-5 aty)
%            Number of variables   :  400 ( 338   !;  62   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f611,plain,
    $false,
    inference(subsumption_resolution,[],[f609,f565]) ).

fof(f565,plain,
    ~ apply(sK10,sK13(sK12,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),
    inference(unit_resulting_resolution,[],[f79,f106,f92,f103,f179,f201,f428,f555,f71]) ).

fof(f71,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ member(X6,X3)
      | ~ apply(X0,X7,X8)
      | ~ decreasing(X0,X4,X2,X3,X1)
      | apply(X1,X6,X8)
      | ~ member(X7,X4)
      | ~ apply(X2,X7,X5)
      | ~ member(X5,X4)
      | ~ apply(X0,X5,X6)
      | ~ member(X8,X3) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ! [X5,X6,X7,X8] :
          ( ~ member(X5,X4)
          | ~ member(X7,X4)
          | ~ apply(X0,X7,X8)
          | ~ member(X6,X3)
          | ~ apply(X2,X7,X5)
          | ~ member(X8,X3)
          | ~ apply(X0,X5,X6)
          | apply(X1,X6,X8) )
      | ~ decreasing(X0,X4,X2,X3,X1) ),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ! [X3,X4,X0,X1,X2] :
      ( ! [X5,X8,X6,X7] :
          ( ~ member(X5,X2)
          | ~ member(X6,X2)
          | ~ apply(X3,X6,X7)
          | ~ member(X8,X1)
          | ~ apply(X0,X6,X5)
          | ~ member(X7,X1)
          | ~ apply(X3,X5,X8)
          | apply(X4,X8,X7) )
      | ~ decreasing(X3,X2,X0,X1,X4) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X3,X1,X0,X4,X2] :
      ( ! [X5,X7,X8,X6] :
          ( apply(X4,X8,X7)
          | ~ apply(X3,X6,X7)
          | ~ apply(X3,X5,X8)
          | ~ member(X8,X1)
          | ~ member(X7,X1)
          | ~ member(X5,X2)
          | ~ member(X6,X2)
          | ~ apply(X0,X6,X5) )
      | ~ decreasing(X3,X2,X0,X1,X4) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X3,X1,X0,X4,X2] :
      ( decreasing(X3,X2,X0,X1,X4)
     => ! [X5,X7,X8,X6] :
          ( ( apply(X3,X6,X7)
            & apply(X3,X5,X8)
            & member(X8,X1)
            & member(X7,X1)
            & member(X5,X2)
            & member(X6,X2)
            & apply(X0,X6,X5) )
         => apply(X4,X8,X7) ) ),
    inference(unused_predicate_definition_removal,[],[f34]) ).

fof(f34,plain,
    ! [X3,X1,X0,X4,X2] :
      ( decreasing(X3,X2,X0,X1,X4)
    <=> ! [X5,X7,X8,X6] :
          ( ( apply(X3,X6,X7)
            & apply(X3,X5,X8)
            & member(X8,X1)
            & member(X7,X1)
            & member(X5,X2)
            & member(X6,X2)
            & apply(X0,X6,X5) )
         => apply(X4,X8,X7) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X14,X1,X0,X5,X15] :
      ( decreasing(X5,X0,X14,X1,X15)
    <=> ! [X13,X12,X6,X7] :
          ( ( apply(X14,X12,X13)
            & member(X6,X1)
            & apply(X5,X12,X6)
            & member(X7,X1)
            & member(X13,X0)
            & member(X12,X0)
            & apply(X5,X13,X7) )
         => apply(X15,X7,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',decreasing_function) ).

fof(f555,plain,
    apply(sK10,sK13(sK12,sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),
    inference(backward_demodulation,[],[f367,f534]) ).

fof(f534,plain,
    sK4(sK12,sK10,sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))) = sK13(sK12,sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),
    inference(unit_resulting_resolution,[],[f93,f179,f176,f379,f365,f85]) ).

fof(f85,plain,
    ! [X2,X3,X1] :
      ( ~ apply(sK9,X1,X3)
      | ~ member(X2,sK12)
      | ~ member(X3,sK12)
      | ~ apply(sK9,X1,X2)
      | ~ member(X1,sK6)
      | X2 = X3 ),
    inference(resolution,[],[f78,f81]) ).

fof(f81,plain,
    ! [X2,X0,X1,X6,X7,X5] :
      ( ~ maps(X1,X2,X0)
      | ~ apply(X1,X7,X6)
      | ~ member(X7,X2)
      | ~ member(X5,X0)
      | ~ apply(X1,X7,X5)
      | X5 = X6
      | ~ member(X6,X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ member(X3,X2)
            | ( member(sK13(X0,X1,X3),X0)
              & apply(X1,X3,sK13(X0,X1,X3)) ) )
        & ! [X5,X6,X7] :
            ( ~ member(X5,X0)
            | X5 = X6
            | ~ apply(X1,X7,X5)
            | ~ member(X7,X2)
            | ~ apply(X1,X7,X6)
            | ~ member(X6,X0) ) )
      | ~ maps(X1,X2,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f60,f61]) ).

fof(f61,plain,
    ! [X0,X1,X3] :
      ( ? [X4] :
          ( member(X4,X0)
          & apply(X1,X3,X4) )
     => ( member(sK13(X0,X1,X3),X0)
        & apply(X1,X3,sK13(X0,X1,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ member(X3,X2)
            | ? [X4] :
                ( member(X4,X0)
                & apply(X1,X3,X4) ) )
        & ! [X5,X6,X7] :
            ( ~ member(X5,X0)
            | X5 = X6
            | ~ apply(X1,X7,X5)
            | ~ member(X7,X2)
            | ~ apply(X1,X7,X6)
            | ~ member(X6,X0) ) )
      | ~ maps(X1,X2,X0) ),
    inference(rectify,[],[f40]) ).

fof(f40,plain,
    ! [X2,X1,X0] :
      ( ( ! [X6] :
            ( ~ member(X6,X0)
            | ? [X7] :
                ( member(X7,X2)
                & apply(X1,X6,X7) ) )
        & ! [X5,X4,X3] :
            ( ~ member(X5,X2)
            | X4 = X5
            | ~ apply(X1,X3,X5)
            | ~ member(X3,X0)
            | ~ apply(X1,X3,X4)
            | ~ member(X4,X2) ) )
      | ~ maps(X1,X0,X2) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ( ! [X5,X4,X3] :
            ( X4 = X5
            | ~ apply(X1,X3,X4)
            | ~ apply(X1,X3,X5)
            | ~ member(X5,X2)
            | ~ member(X4,X2)
            | ~ member(X3,X0) )
        & ! [X6] :
            ( ~ member(X6,X0)
            | ? [X7] :
                ( member(X7,X2)
                & apply(X1,X6,X7) ) ) )
      | ~ maps(X1,X0,X2) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( maps(X1,X0,X2)
     => ( ! [X5,X4,X3] :
            ( ( member(X5,X2)
              & member(X4,X2)
              & member(X3,X0) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X3,X5) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X0)
           => ? [X7] :
                ( member(X7,X2)
                & apply(X1,X6,X7) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ( ! [X5,X4,X3] :
            ( ( member(X5,X2)
              & member(X4,X2)
              & member(X3,X0) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X3,X5) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X0)
           => ? [X7] :
                ( member(X7,X2)
                & apply(X1,X6,X7) ) ) )
    <=> maps(X1,X0,X2) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X5,X1] :
      ( maps(X5,X0,X1)
    <=> ( ! [X2,X6,X7] :
            ( ( member(X2,X0)
              & member(X6,X1)
              & member(X7,X1) )
           => ( ( apply(X5,X2,X6)
                & apply(X5,X2,X7) )
             => X6 = X7 ) )
        & ! [X2] :
            ( member(X2,X0)
           => ? [X4] :
                ( apply(X5,X2,X4)
                & member(X4,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).

fof(f78,plain,
    maps(sK9,sK6,sK12),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( maps(sK10,sK12,sK5)
    & decreasing(sK10,sK12,sK11,sK5,sK7)
    & maps(sK9,sK6,sK12)
    & ~ increasing(compose_function(sK10,sK9,sK6,sK12,sK5),sK6,sK8,sK5,sK7)
    & decreasing(sK9,sK6,sK8,sK12,sK11) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f57,f58]) ).

fof(f58,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( maps(X5,X7,X0)
        & decreasing(X5,X7,X6,X0,X2)
        & maps(X4,X1,X7)
        & ~ increasing(compose_function(X5,X4,X1,X7,X0),X1,X3,X0,X2)
        & decreasing(X4,X1,X3,X7,X6) )
   => ( maps(sK10,sK12,sK5)
      & decreasing(sK10,sK12,sK11,sK5,sK7)
      & maps(sK9,sK6,sK12)
      & ~ increasing(compose_function(sK10,sK9,sK6,sK12,sK5),sK6,sK8,sK5,sK7)
      & decreasing(sK9,sK6,sK8,sK12,sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( maps(X5,X7,X0)
      & decreasing(X5,X7,X6,X0,X2)
      & maps(X4,X1,X7)
      & ~ increasing(compose_function(X5,X4,X1,X7,X0),X1,X3,X0,X2)
      & decreasing(X4,X1,X3,X7,X6) ),
    inference(rectify,[],[f42]) ).

fof(f42,plain,
    ? [X5,X4,X0,X1,X3,X6,X2,X7] :
      ( maps(X6,X7,X5)
      & decreasing(X6,X7,X2,X5,X0)
      & maps(X3,X4,X7)
      & ~ increasing(compose_function(X6,X3,X4,X7,X5),X4,X1,X5,X0)
      & decreasing(X3,X4,X1,X7,X2) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ? [X0,X1,X3,X2,X4,X6,X5,X7] :
      ( ~ increasing(compose_function(X6,X3,X4,X7,X5),X4,X1,X5,X0)
      & decreasing(X6,X7,X2,X5,X0)
      & decreasing(X3,X4,X1,X7,X2)
      & maps(X3,X4,X7)
      & maps(X6,X7,X5) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ! [X0,X1,X3,X2,X4,X6,X5,X7] :
        ( ( decreasing(X6,X7,X2,X5,X0)
          & decreasing(X3,X4,X1,X7,X2)
          & maps(X3,X4,X7)
          & maps(X6,X7,X5) )
       => increasing(compose_function(X6,X3,X4,X7,X5),X4,X1,X5,X0) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X16,X14,X15,X5,X0,X10,X9,X1] :
        ( ( decreasing(X5,X0,X14,X1,X15)
          & maps(X9,X1,X10)
          & decreasing(X9,X1,X15,X10,X16)
          & maps(X5,X0,X1) )
       => increasing(compose_function(X9,X5,X0,X1,X10),X0,X14,X10,X16) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X16,X14,X15,X5,X0,X10,X9,X1] :
      ( ( decreasing(X5,X0,X14,X1,X15)
        & maps(X9,X1,X10)
        & decreasing(X9,X1,X15,X10,X16)
        & maps(X5,X0,X1) )
     => increasing(compose_function(X9,X5,X0,X1,X10),X0,X14,X10,X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII40) ).

fof(f365,plain,
    apply(sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK4(sK12,sK10,sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)))),
    inference(unit_resulting_resolution,[],[f92,f93,f94,f75]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( apply(X3,X5,sK4(X0,X1,X3,X5,X6))
      | ~ member(X5,X2)
      | ~ apply(compose_function(X1,X3,X2,X0,X4),X5,X6)
      | ~ member(X6,X4) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ member(X6,X4)
      | ~ member(X5,X2)
      | ( ( ( apply(X3,X5,sK4(X0,X1,X3,X5,X6))
            & apply(X1,sK4(X0,X1,X3,X5,X6),X6)
            & member(sK4(X0,X1,X3,X5,X6),X0) )
          | ~ apply(compose_function(X1,X3,X2,X0,X4),X5,X6) )
        & ( apply(compose_function(X1,X3,X2,X0,X4),X5,X6)
          | ! [X8] :
              ( ~ apply(X3,X5,X8)
              | ~ apply(X1,X8,X6)
              | ~ member(X8,X0) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f54,f55]) ).

fof(f55,plain,
    ! [X0,X1,X3,X5,X6] :
      ( ? [X7] :
          ( apply(X3,X5,X7)
          & apply(X1,X7,X6)
          & member(X7,X0) )
     => ( apply(X3,X5,sK4(X0,X1,X3,X5,X6))
        & apply(X1,sK4(X0,X1,X3,X5,X6),X6)
        & member(sK4(X0,X1,X3,X5,X6),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ member(X6,X4)
      | ~ member(X5,X2)
      | ( ( ? [X7] :
              ( apply(X3,X5,X7)
              & apply(X1,X7,X6)
              & member(X7,X0) )
          | ~ apply(compose_function(X1,X3,X2,X0,X4),X5,X6) )
        & ( apply(compose_function(X1,X3,X2,X0,X4),X5,X6)
          | ! [X8] :
              ( ~ apply(X3,X5,X8)
              | ~ apply(X1,X8,X6)
              | ~ member(X8,X0) ) ) ) ),
    inference(rectify,[],[f53]) ).

fof(f53,plain,
    ! [X2,X5,X6,X4,X0,X3,X1] :
      ( ~ member(X1,X0)
      | ~ member(X3,X6)
      | ( ( ? [X7] :
              ( apply(X4,X3,X7)
              & apply(X5,X7,X1)
              & member(X7,X2) )
          | ~ apply(compose_function(X5,X4,X6,X2,X0),X3,X1) )
        & ( apply(compose_function(X5,X4,X6,X2,X0),X3,X1)
          | ! [X7] :
              ( ~ apply(X4,X3,X7)
              | ~ apply(X5,X7,X1)
              | ~ member(X7,X2) ) ) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X2,X5,X6,X4,X0,X3,X1] :
      ( ~ member(X1,X0)
      | ~ member(X3,X6)
      | ( ? [X7] :
            ( apply(X4,X3,X7)
            & apply(X5,X7,X1)
            & member(X7,X2) )
      <=> apply(compose_function(X5,X4,X6,X2,X0),X3,X1) ) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X4,X6,X5,X2,X3,X0,X1] :
      ( ( ? [X7] :
            ( apply(X4,X3,X7)
            & apply(X5,X7,X1)
            & member(X7,X2) )
      <=> apply(compose_function(X5,X4,X6,X2,X0),X3,X1) )
      | ~ member(X1,X0)
      | ~ member(X3,X6) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X4,X6,X5,X2,X3,X0,X1] :
      ( ( member(X1,X0)
        & member(X3,X6) )
     => ( ? [X7] :
            ( apply(X4,X3,X7)
            & apply(X5,X7,X1)
            & member(X7,X2) )
      <=> apply(compose_function(X5,X4,X6,X2,X0),X3,X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X10,X11,X1,X2,X5,X9,X0] :
      ( ( member(X2,X0)
        & member(X11,X10) )
     => ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
      <=> ? [X4] :
            ( member(X4,X1)
            & apply(X5,X2,X4)
            & apply(X9,X4,X11) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).

fof(f94,plain,
    apply(compose_function(sK10,sK9,sK6,sK12,sK5),sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),
    inference(unit_resulting_resolution,[],[f77,f65]) ).

fof(f65,plain,
    ! [X2,X3,X0,X1,X4] :
      ( apply(X4,sK3(X0,X1,X2,X3,X4),sK0(X0,X1,X2,X3,X4))
      | increasing(X4,X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( apply(X0,sK3(X0,X1,X2,X3,X4),sK2(X0,X1,X2,X3,X4))
        & member(sK1(X0,X1,X2,X3,X4),X1)
        & member(sK2(X0,X1,X2,X3,X4),X3)
        & apply(X4,sK2(X0,X1,X2,X3,X4),sK1(X0,X1,X2,X3,X4))
        & ~ apply(X2,sK0(X0,X1,X2,X3,X4),sK1(X0,X1,X2,X3,X4))
        & apply(X4,sK3(X0,X1,X2,X3,X4),sK0(X0,X1,X2,X3,X4))
        & member(sK3(X0,X1,X2,X3,X4),X3)
        & member(sK0(X0,X1,X2,X3,X4),X1) )
      | increasing(X4,X3,X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f49,f50]) ).

fof(f50,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5,X6,X7,X8] :
          ( apply(X0,X8,X7)
          & member(X6,X1)
          & member(X7,X3)
          & apply(X4,X7,X6)
          & ~ apply(X2,X5,X6)
          & apply(X4,X8,X5)
          & member(X8,X3)
          & member(X5,X1) )
     => ( apply(X0,sK3(X0,X1,X2,X3,X4),sK2(X0,X1,X2,X3,X4))
        & member(sK1(X0,X1,X2,X3,X4),X1)
        & member(sK2(X0,X1,X2,X3,X4),X3)
        & apply(X4,sK2(X0,X1,X2,X3,X4),sK1(X0,X1,X2,X3,X4))
        & ~ apply(X2,sK0(X0,X1,X2,X3,X4),sK1(X0,X1,X2,X3,X4))
        & apply(X4,sK3(X0,X1,X2,X3,X4),sK0(X0,X1,X2,X3,X4))
        & member(sK3(X0,X1,X2,X3,X4),X3)
        & member(sK0(X0,X1,X2,X3,X4),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5,X6,X7,X8] :
          ( apply(X0,X8,X7)
          & member(X6,X1)
          & member(X7,X3)
          & apply(X4,X7,X6)
          & ~ apply(X2,X5,X6)
          & apply(X4,X8,X5)
          & member(X8,X3)
          & member(X5,X1) )
      | increasing(X4,X3,X0,X1,X2) ),
    inference(rectify,[],[f48]) ).

fof(f48,plain,
    ! [X4,X3,X2,X1,X0] :
      ( ? [X7,X5,X6,X8] :
          ( apply(X4,X8,X6)
          & member(X5,X3)
          & member(X6,X1)
          & apply(X0,X6,X5)
          & ~ apply(X2,X7,X5)
          & apply(X0,X8,X7)
          & member(X8,X1)
          & member(X7,X3) )
      | increasing(X0,X1,X4,X3,X2) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X1,X3,X0,X2,X4] :
      ( increasing(X0,X1,X4,X3,X2)
      | ? [X8,X5,X6,X7] :
          ( ~ apply(X2,X7,X5)
          & member(X8,X1)
          & member(X5,X3)
          & apply(X0,X6,X5)
          & member(X7,X3)
          & apply(X0,X8,X7)
          & member(X6,X1)
          & apply(X4,X8,X6) ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X1,X3,X0,X2,X4] :
      ( ! [X8,X5,X6,X7] :
          ( ( member(X8,X1)
            & member(X5,X3)
            & apply(X0,X6,X5)
            & member(X7,X3)
            & apply(X0,X8,X7)
            & member(X6,X1)
            & apply(X4,X8,X6) )
         => apply(X2,X7,X5) )
     => increasing(X0,X1,X4,X3,X2) ),
    inference(unused_predicate_definition_removal,[],[f32]) ).

fof(f32,plain,
    ! [X1,X3,X0,X2,X4] :
      ( ! [X8,X5,X6,X7] :
          ( ( member(X8,X1)
            & member(X5,X3)
            & apply(X0,X6,X5)
            & member(X7,X3)
            & apply(X0,X8,X7)
            & member(X6,X1)
            & apply(X4,X8,X6) )
         => apply(X2,X7,X5) )
    <=> increasing(X0,X1,X4,X3,X2) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X5,X0,X15,X1,X14] :
      ( increasing(X5,X0,X14,X1,X15)
    <=> ! [X7,X13,X6,X12] :
          ( ( member(X12,X0)
            & apply(X5,X13,X7)
            & apply(X5,X12,X6)
            & member(X6,X1)
            & member(X7,X1)
            & apply(X14,X12,X13)
            & member(X13,X0) )
         => apply(X15,X6,X7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',increasing_function) ).

fof(f77,plain,
    ~ increasing(compose_function(sK10,sK9,sK6,sK12,sK5),sK6,sK8,sK5,sK7),
    inference(cnf_transformation,[],[f59]) ).

fof(f379,plain,
    member(sK4(sK12,sK10,sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK12),
    inference(subsumption_resolution,[],[f378,f92]) ).

fof(f378,plain,
    ( member(sK4(sK12,sK10,sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK12)
    | ~ member(sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK5) ),
    inference(subsumption_resolution,[],[f369,f93]) ).

fof(f369,plain,
    ( member(sK4(sK12,sK10,sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK12)
    | ~ member(sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK6)
    | ~ member(sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK5) ),
    inference(resolution,[],[f94,f73]) ).

fof(f73,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ member(X5,X2)
      | ~ member(X6,X4)
      | ~ apply(compose_function(X1,X3,X2,X0,X4),X5,X6)
      | member(sK4(X0,X1,X3,X5,X6),X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f176,plain,
    apply(sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK13(sK12,sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)))),
    inference(unit_resulting_resolution,[],[f93,f86]) ).

fof(f86,plain,
    ! [X4] :
      ( apply(sK9,X4,sK13(sK12,sK9,X4))
      | ~ member(X4,sK6) ),
    inference(resolution,[],[f78,f82]) ).

fof(f82,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X3,X2)
      | ~ maps(X1,X2,X0)
      | apply(X1,X3,sK13(X0,X1,X3)) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f93,plain,
    member(sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK6),
    inference(unit_resulting_resolution,[],[f77,f64]) ).

fof(f64,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X4,X3,X0,X1,X2)
      | member(sK3(X0,X1,X2,X3,X4),X3) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f367,plain,
    apply(sK10,sK4(sK12,sK10,sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),
    inference(unit_resulting_resolution,[],[f93,f92,f94,f74]) ).

fof(f74,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ apply(compose_function(X1,X3,X2,X0,X4),X5,X6)
      | ~ member(X5,X2)
      | ~ member(X6,X4)
      | apply(X1,sK4(X0,X1,X3,X5,X6),X6) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f428,plain,
    apply(sK11,sK13(sK12,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK13(sK12,sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)))),
    inference(unit_resulting_resolution,[],[f97,f93,f179,f176,f99,f201,f198,f90]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1] :
      ( apply(sK11,X0,X2)
      | ~ member(X2,sK12)
      | ~ member(X0,sK12)
      | ~ apply(sK9,X1,X2)
      | ~ apply(sK8,X1,X3)
      | ~ member(X3,sK6)
      | ~ member(X1,sK6)
      | ~ apply(sK9,X3,X0) ),
    inference(resolution,[],[f76,f71]) ).

fof(f76,plain,
    decreasing(sK9,sK6,sK8,sK12,sK11),
    inference(cnf_transformation,[],[f59]) ).

fof(f198,plain,
    apply(sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK13(sK12,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)))),
    inference(unit_resulting_resolution,[],[f97,f86]) ).

fof(f99,plain,
    apply(sK8,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),
    inference(unit_resulting_resolution,[],[f77,f70]) ).

fof(f70,plain,
    ! [X2,X3,X0,X1,X4] :
      ( apply(X0,sK3(X0,X1,X2,X3,X4),sK2(X0,X1,X2,X3,X4))
      | increasing(X4,X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f97,plain,
    member(sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK6),
    inference(unit_resulting_resolution,[],[f77,f68]) ).

fof(f68,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X4,X3,X0,X1,X2)
      | member(sK2(X0,X1,X2,X3,X4),X3) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f201,plain,
    member(sK13(sK12,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK12),
    inference(unit_resulting_resolution,[],[f78,f97,f83]) ).

fof(f83,plain,
    ! [X2,X3,X0,X1] :
      ( ~ maps(X1,X2,X0)
      | ~ member(X3,X2)
      | member(sK13(X0,X1,X3),X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f179,plain,
    member(sK13(sK12,sK9,sK3(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK12),
    inference(unit_resulting_resolution,[],[f78,f93,f83]) ).

fof(f103,plain,
    ~ apply(sK7,sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),
    inference(resolution,[],[f77,f66]) ).

fof(f66,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X4,X3,X0,X1,X2)
      | ~ apply(X2,sK0(X0,X1,X2,X3,X4),sK1(X0,X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f92,plain,
    member(sK0(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK5),
    inference(unit_resulting_resolution,[],[f77,f63]) ).

fof(f63,plain,
    ! [X2,X3,X0,X1,X4] :
      ( member(sK0(X0,X1,X2,X3,X4),X1)
      | increasing(X4,X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f106,plain,
    member(sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK5),
    inference(resolution,[],[f77,f69]) ).

fof(f69,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X4,X3,X0,X1,X2)
      | member(sK1(X0,X1,X2,X3,X4),X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f79,plain,
    decreasing(sK10,sK12,sK11,sK5,sK7),
    inference(cnf_transformation,[],[f59]) ).

fof(f609,plain,
    apply(sK10,sK13(sK12,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),
    inference(backward_demodulation,[],[f382,f586]) ).

fof(f586,plain,
    sK13(sK12,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))) = sK4(sK12,sK10,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),
    inference(unit_resulting_resolution,[],[f97,f395,f380,f291]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( ~ apply(sK9,X1,X0)
      | ~ member(X0,sK12)
      | ~ member(X1,sK6)
      | sK13(sK12,sK9,X1) = X0 ),
    inference(subsumption_resolution,[],[f290,f84]) ).

fof(f84,plain,
    ! [X0] :
      ( member(sK13(sK12,sK9,X0),sK12)
      | ~ member(X0,sK6) ),
    inference(resolution,[],[f78,f83]) ).

fof(f290,plain,
    ! [X0,X1] :
      ( ~ member(X0,sK12)
      | ~ member(X1,sK6)
      | ~ member(sK13(sK12,sK9,X1),sK12)
      | sK13(sK12,sK9,X1) = X0
      | ~ apply(sK9,X1,X0) ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f282,plain,
    ! [X0,X1] :
      ( ~ apply(sK9,X1,X0)
      | sK13(sK12,sK9,X1) = X0
      | ~ member(X1,sK6)
      | ~ member(X1,sK6)
      | ~ member(X0,sK12)
      | ~ member(sK13(sK12,sK9,X1),sK12) ),
    inference(resolution,[],[f85,f86]) ).

fof(f380,plain,
    apply(sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK4(sK12,sK10,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)))),
    inference(unit_resulting_resolution,[],[f106,f97,f96,f75]) ).

fof(f96,plain,
    apply(compose_function(sK10,sK9,sK6,sK12,sK5),sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),
    inference(unit_resulting_resolution,[],[f77,f67]) ).

fof(f67,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X4,X3,X0,X1,X2)
      | apply(X4,sK2(X0,X1,X2,X3,X4),sK1(X0,X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f395,plain,
    member(sK4(sK12,sK10,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK12),
    inference(subsumption_resolution,[],[f394,f106]) ).

fof(f394,plain,
    ( ~ member(sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK5)
    | member(sK4(sK12,sK10,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK12) ),
    inference(subsumption_resolution,[],[f385,f97]) ).

fof(f385,plain,
    ( ~ member(sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK6)
    | member(sK4(sK12,sK10,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK12)
    | ~ member(sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK5) ),
    inference(resolution,[],[f96,f73]) ).

fof(f382,plain,
    apply(sK10,sK4(sK12,sK10,sK9,sK2(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5)),sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),sK1(sK8,sK5,sK7,sK6,compose_function(sK10,sK9,sK6,sK12,sK5))),
    inference(unit_resulting_resolution,[],[f97,f106,f96,f74]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SET749+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 14:29:51 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.55  % (15081)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.55  % (15083)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.24/0.57  % (15082)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.24/0.57  % (15099)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.24/0.57  % (15097)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.24/0.57  % (15091)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.24/0.57  % (15089)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.24/0.57  % (15098)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.24/0.57  % (15090)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.24/0.58  % (15089)Instruction limit reached!
% 1.24/0.58  % (15089)------------------------------
% 1.24/0.58  % (15089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58  % (15090)Instruction limit reached!
% 1.70/0.58  % (15090)------------------------------
% 1.70/0.58  % (15090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59  % (15089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59  % (15089)Termination reason: Unknown
% 1.70/0.59  % (15089)Termination phase: Preprocessing 3
% 1.70/0.59  
% 1.70/0.59  % (15089)Memory used [KB]: 1535
% 1.70/0.59  % (15089)Time elapsed: 0.005 s
% 1.70/0.59  % (15089)Instructions burned: 3 (million)
% 1.70/0.59  % (15089)------------------------------
% 1.70/0.59  % (15089)------------------------------
% 1.70/0.59  % (15090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59  % (15090)Termination reason: Unknown
% 1.70/0.59  % (15090)Termination phase: Saturation
% 1.70/0.59  
% 1.70/0.59  % (15090)Memory used [KB]: 6140
% 1.70/0.59  % (15090)Time elapsed: 0.146 s
% 1.70/0.59  % (15090)Instructions burned: 7 (million)
% 1.70/0.59  % (15090)------------------------------
% 1.70/0.59  % (15090)------------------------------
% 1.70/0.62  % (15081)Instruction limit reached!
% 1.70/0.62  % (15081)------------------------------
% 1.70/0.62  % (15081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62  % (15081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62  % (15081)Termination reason: Unknown
% 1.70/0.62  % (15081)Termination phase: Saturation
% 1.70/0.62  
% 1.70/0.62  % (15081)Memory used [KB]: 6396
% 1.70/0.62  % (15081)Time elapsed: 0.179 s
% 1.70/0.62  % (15081)Instructions burned: 39 (million)
% 1.70/0.62  % (15081)------------------------------
% 1.70/0.62  % (15081)------------------------------
% 1.70/0.62  % (15084)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.70/0.62  % (15093)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.70/0.62  % (15077)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.70/0.62  % (15095)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.70/0.62  % (15077)Instruction limit reached!
% 1.70/0.62  % (15077)------------------------------
% 1.70/0.62  % (15077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62  % (15077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62  % (15077)Termination reason: Unknown
% 1.70/0.62  % (15077)Termination phase: Property scanning
% 1.70/0.62  
% 1.70/0.62  % (15077)Memory used [KB]: 1535
% 1.70/0.62  % (15077)Time elapsed: 0.004 s
% 1.70/0.62  % (15077)Instructions burned: 3 (million)
% 1.70/0.62  % (15077)------------------------------
% 1.70/0.62  % (15077)------------------------------
% 1.70/0.62  % (15096)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.70/0.62  % (15079)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.70/0.62  % (15082)First to succeed.
% 1.70/0.63  % (15092)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.70/0.63  % (15092)Instruction limit reached!
% 1.70/0.63  % (15092)------------------------------
% 1.70/0.63  % (15092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.63  % (15092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.63  % (15092)Termination reason: Unknown
% 1.70/0.63  % (15092)Termination phase: Finite model building preprocessing
% 1.70/0.63  
% 1.70/0.63  % (15092)Memory used [KB]: 1535
% 1.70/0.63  % (15092)Time elapsed: 0.004 s
% 1.70/0.63  % (15092)Instructions burned: 4 (million)
% 1.70/0.63  % (15092)------------------------------
% 1.70/0.63  % (15092)------------------------------
% 1.70/0.63  % (15085)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.70/0.63  % (15088)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.70/0.63  % (15076)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.70/0.63  % (15103)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.70/0.64  % (15101)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.70/0.64  % (15104)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.70/0.64  % (15100)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.70/0.64  % (15080)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.70/0.64  % (15087)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.70/0.64  % (15093)Instruction limit reached!
% 1.70/0.64  % (15093)------------------------------
% 1.70/0.64  % (15093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.64  % (15093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.64  % (15093)Termination reason: Unknown
% 1.70/0.64  % (15093)Termination phase: shuffling
% 1.70/0.64  
% 1.70/0.64  % (15093)Memory used [KB]: 1407
% 1.70/0.64  % (15093)Time elapsed: 0.003 s
% 1.70/0.64  % (15093)Instructions burned: 2 (million)
% 1.70/0.64  % (15093)------------------------------
% 1.70/0.64  % (15093)------------------------------
% 1.70/0.65  % (15085)Instruction limit reached!
% 1.70/0.65  % (15085)------------------------------
% 1.70/0.65  % (15085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.65  % (15085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.65  % (15085)Termination reason: Unknown
% 1.70/0.65  % (15085)Termination phase: Saturation
% 1.70/0.65  
% 1.70/0.65  % (15085)Memory used [KB]: 6140
% 1.70/0.65  % (15085)Time elapsed: 0.209 s
% 1.70/0.65  % (15085)Instructions burned: 12 (million)
% 1.70/0.65  % (15085)------------------------------
% 1.70/0.65  % (15085)------------------------------
% 1.70/0.65  % (15082)Refutation found. Thanks to Tanya!
% 1.70/0.65  % SZS status Theorem for theBenchmark
% 1.70/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.65  % (15082)------------------------------
% 1.70/0.65  % (15082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.65  % (15082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.65  % (15082)Termination reason: Refutation
% 1.70/0.65  
% 1.70/0.65  % (15082)Memory used [KB]: 6524
% 1.70/0.65  % (15082)Time elapsed: 0.184 s
% 1.70/0.65  % (15082)Instructions burned: 28 (million)
% 1.70/0.65  % (15082)------------------------------
% 1.70/0.65  % (15082)------------------------------
% 1.70/0.65  % (15074)Success in time 0.288 s
%------------------------------------------------------------------------------