TSTP Solution File: SET723+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET723+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_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 18:25:27 EDT 2022

% Result   : Theorem 3.39s 0.90s
% Output   : Refutation 3.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   69 (  20 unt;   0 def)
%            Number of atoms       :  370 (  30 equ)
%            Maximal formula atoms :   14 (   5 avg)
%            Number of connectives :  435 ( 134   ~; 126   |; 133   &)
%                                         (  12 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-5 aty)
%            Number of variables   :  316 ( 269   !;  47   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f787,plain,
    $false,
    inference(subsumption_resolution,[],[f696,f505]) ).

fof(f505,plain,
    ~ apply(sK8,sK3(sK10,sK7,sK12,sK9),sK6(sK8,sK11,sK1(sK10,sK7,sK12,sK9))),
    inference(unit_resulting_resolution,[],[f171,f201,f209,f205,f261,f260,f149]) ).

fof(f149,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ injective(X1,X0,X2)
      | ~ apply(X1,X5,X4)
      | ~ member(X5,X0)
      | ~ member(X3,X0)
      | X3 = X5
      | ~ apply(X1,X3,X4)
      | ~ member(X4,X2) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( ~ injective(X1,X0,X2)
      | ! [X3,X4,X5] :
          ( ~ apply(X1,X3,X4)
          | X3 = X5
          | ~ apply(X1,X5,X4)
          | ~ member(X5,X0)
          | ~ member(X3,X0)
          | ~ member(X4,X2) ) ),
    inference(rectify,[],[f71]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( ~ injective(X0,X2,X1)
      | ! [X3,X4,X5] :
          ( ~ apply(X0,X3,X4)
          | X3 = X5
          | ~ apply(X0,X5,X4)
          | ~ member(X5,X2)
          | ~ member(X3,X2)
          | ~ member(X4,X1) ) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( ! [X5,X3,X4] :
          ( X3 = X5
          | ~ apply(X0,X3,X4)
          | ~ apply(X0,X5,X4)
          | ~ member(X5,X2)
          | ~ member(X4,X1)
          | ~ member(X3,X2) )
      | ~ injective(X0,X2,X1) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( injective(X0,X2,X1)
     => ! [X5,X3,X4] :
          ( ( member(X5,X2)
            & member(X4,X1)
            & member(X3,X2) )
         => ( ( apply(X0,X3,X4)
              & apply(X0,X5,X4) )
           => X3 = X5 ) ) ),
    inference(unused_predicate_definition_removal,[],[f56]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( injective(X0,X2,X1)
    <=> ! [X5,X3,X4] :
          ( ( member(X5,X2)
            & member(X4,X1)
            & member(X3,X2) )
         => ( ( apply(X0,X3,X4)
              & apply(X0,X5,X4) )
           => X3 = X5 ) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X5,X1,X0] :
      ( ! [X13,X4,X12] :
          ( ( member(X4,X1)
            & member(X13,X0)
            & member(X12,X0) )
         => ( ( apply(X5,X13,X4)
              & apply(X5,X12,X4) )
           => X12 = X13 ) )
    <=> injective(X5,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',injective) ).

fof(f260,plain,
    apply(sK8,sK1(sK10,sK7,sK12,sK9),sK6(sK8,sK11,sK1(sK10,sK7,sK12,sK9))),
    inference(unit_resulting_resolution,[],[f173,f205,f163]) ).

fof(f163,plain,
    ! [X2,X0,X1,X6] :
      ( ~ maps(X1,X0,X2)
      | ~ member(X6,X0)
      | apply(X1,X6,sK6(X1,X2,X6)) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( ~ member(X5,X2)
            | ~ apply(X1,X4,X5)
            | X3 = X5
            | ~ apply(X1,X4,X3)
            | ~ member(X3,X2)
            | ~ member(X4,X0) )
        & ! [X6] :
            ( ~ member(X6,X0)
            | ( member(sK6(X1,X2,X6),X2)
              & apply(X1,X6,sK6(X1,X2,X6)) ) ) )
      | ~ maps(X1,X0,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f99,f100]) ).

fof(f100,plain,
    ! [X1,X2,X6] :
      ( ? [X7] :
          ( member(X7,X2)
          & apply(X1,X6,X7) )
     => ( member(sK6(X1,X2,X6),X2)
        & apply(X1,X6,sK6(X1,X2,X6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( ~ member(X5,X2)
            | ~ apply(X1,X4,X5)
            | X3 = X5
            | ~ apply(X1,X4,X3)
            | ~ member(X3,X2)
            | ~ member(X4,X0) )
        & ! [X6] :
            ( ~ member(X6,X0)
            | ? [X7] :
                ( member(X7,X2)
                & apply(X1,X6,X7) ) ) )
      | ~ maps(X1,X0,X2) ),
    inference(rectify,[],[f62]) ).

fof(f62,plain,
    ! [X0,X2,X1] :
      ( ( ! [X6,X5,X7] :
            ( ~ member(X7,X1)
            | ~ apply(X2,X5,X7)
            | X6 = X7
            | ~ apply(X2,X5,X6)
            | ~ member(X6,X1)
            | ~ member(X5,X0) )
        & ! [X3] :
            ( ~ member(X3,X0)
            | ? [X4] :
                ( member(X4,X1)
                & apply(X2,X3,X4) ) ) )
      | ~ maps(X2,X0,X1) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0,X2,X1] :
      ( ( ! [X3] :
            ( ~ member(X3,X0)
            | ? [X4] :
                ( member(X4,X1)
                & apply(X2,X3,X4) ) )
        & ! [X5,X6,X7] :
            ( X6 = X7
            | ~ apply(X2,X5,X6)
            | ~ apply(X2,X5,X7)
            | ~ member(X7,X1)
            | ~ member(X5,X0)
            | ~ member(X6,X1) ) )
      | ~ maps(X2,X0,X1) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X2,X1] :
      ( maps(X2,X0,X1)
     => ( ! [X3] :
            ( member(X3,X0)
           => ? [X4] :
                ( member(X4,X1)
                & apply(X2,X3,X4) ) )
        & ! [X5,X6,X7] :
            ( ( member(X7,X1)
              & member(X5,X0)
              & member(X6,X1) )
           => ( ( apply(X2,X5,X6)
                & apply(X2,X5,X7) )
             => X6 = X7 ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f34]) ).

fof(f34,plain,
    ! [X0,X2,X1] :
      ( ( ! [X3] :
            ( member(X3,X0)
           => ? [X4] :
                ( member(X4,X1)
                & apply(X2,X3,X4) ) )
        & ! [X5,X6,X7] :
            ( ( member(X7,X1)
              & member(X5,X0)
              & member(X6,X1) )
           => ( ( apply(X2,X5,X6)
                & apply(X2,X5,X7) )
             => X6 = X7 ) ) )
    <=> maps(X2,X0,X1) ),
    inference(rectify,[],[f12]) ).

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

fof(f173,plain,
    maps(sK8,sK9,sK11),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( maps(sK8,sK9,sK11)
    & maps(sK12,sK7,sK9)
    & injective(sK8,sK9,sK11)
    & maps(sK10,sK7,sK9)
    & ~ equal_maps(sK12,sK10,sK7,sK9)
    & equal_maps(compose_function(sK8,sK12,sK7,sK9,sK11),compose_function(sK8,sK10,sK7,sK9,sK11),sK7,sK11) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11,sK12])],[f103,f104]) ).

fof(f104,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( maps(X1,X2,X4)
        & maps(X5,X0,X2)
        & injective(X1,X2,X4)
        & maps(X3,X0,X2)
        & ~ equal_maps(X5,X3,X0,X2)
        & equal_maps(compose_function(X1,X5,X0,X2,X4),compose_function(X1,X3,X0,X2,X4),X0,X4) )
   => ( maps(sK8,sK9,sK11)
      & maps(sK12,sK7,sK9)
      & injective(sK8,sK9,sK11)
      & maps(sK10,sK7,sK9)
      & ~ equal_maps(sK12,sK10,sK7,sK9)
      & equal_maps(compose_function(sK8,sK12,sK7,sK9,sK11),compose_function(sK8,sK10,sK7,sK9,sK11),sK7,sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f103,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( maps(X1,X2,X4)
      & maps(X5,X0,X2)
      & injective(X1,X2,X4)
      & maps(X3,X0,X2)
      & ~ equal_maps(X5,X3,X0,X2)
      & equal_maps(compose_function(X1,X5,X0,X2,X4),compose_function(X1,X3,X0,X2,X4),X0,X4) ),
    inference(rectify,[],[f66]) ).

fof(f66,plain,
    ? [X5,X3,X4,X1,X0,X2] :
      ( maps(X3,X4,X0)
      & maps(X2,X5,X4)
      & injective(X3,X4,X0)
      & maps(X1,X5,X4)
      & ~ equal_maps(X2,X1,X5,X4)
      & equal_maps(compose_function(X3,X2,X5,X4,X0),compose_function(X3,X1,X5,X4,X0),X5,X0) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ? [X3,X1,X2,X0,X4,X5] :
      ( ~ equal_maps(X2,X1,X5,X4)
      & injective(X3,X4,X0)
      & maps(X3,X4,X0)
      & maps(X1,X5,X4)
      & maps(X2,X5,X4)
      & equal_maps(compose_function(X3,X2,X5,X4,X0),compose_function(X3,X1,X5,X4,X0),X5,X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ~ ! [X3,X1,X2,X0,X4,X5] :
        ( ( injective(X3,X4,X0)
          & maps(X3,X4,X0)
          & maps(X1,X5,X4)
          & maps(X2,X5,X4)
          & equal_maps(compose_function(X3,X2,X5,X4,X0),compose_function(X3,X1,X5,X4,X0),X5,X0) )
       => equal_maps(X2,X1,X5,X4) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X10,X8,X9,X5,X1,X0] :
        ( ( maps(X5,X1,X10)
          & equal_maps(compose_function(X5,X9,X0,X1,X10),compose_function(X5,X8,X0,X1,X10),X0,X10)
          & maps(X9,X0,X1)
          & maps(X8,X0,X1)
          & injective(X5,X1,X10) )
       => equal_maps(X9,X8,X0,X1) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X10,X8,X9,X5,X1,X0] :
      ( ( maps(X5,X1,X10)
        & equal_maps(compose_function(X5,X9,X0,X1,X10),compose_function(X5,X8,X0,X1,X10),X0,X10)
        & maps(X9,X0,X1)
        & maps(X8,X0,X1)
        & injective(X5,X1,X10) )
     => equal_maps(X9,X8,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII14) ).

fof(f261,plain,
    member(sK6(sK8,sK11,sK1(sK10,sK7,sK12,sK9)),sK11),
    inference(unit_resulting_resolution,[],[f173,f205,f164]) ).

fof(f164,plain,
    ! [X2,X0,X1,X6] :
      ( ~ maps(X1,X0,X2)
      | ~ member(X6,X0)
      | member(sK6(X1,X2,X6),X2) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f205,plain,
    member(sK1(sK10,sK7,sK12,sK9),sK9),
    inference(unit_resulting_resolution,[],[f169,f144]) ).

fof(f144,plain,
    ! [X2,X3,X0,X1] :
      ( member(sK1(X0,X1,X2,X3),X3)
      | equal_maps(X2,X0,X1,X3) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X2,X3] :
      ( ( equal_maps(X2,X0,X1,X3)
        | ( member(sK1(X0,X1,X2,X3),X3)
          & apply(X2,sK2(X0,X1,X2,X3),sK3(X0,X1,X2,X3))
          & apply(X0,sK2(X0,X1,X2,X3),sK1(X0,X1,X2,X3))
          & member(sK2(X0,X1,X2,X3),X1)
          & sK3(X0,X1,X2,X3) != sK1(X0,X1,X2,X3)
          & member(sK3(X0,X1,X2,X3),X3) ) )
      & ( ! [X7,X8,X9] :
            ( ~ member(X7,X3)
            | ~ apply(X2,X8,X9)
            | ~ apply(X0,X8,X7)
            | ~ member(X8,X1)
            | X7 = X9
            | ~ member(X9,X3) )
        | ~ equal_maps(X2,X0,X1,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f78,f79]) ).

fof(f79,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4,X5,X6] :
          ( member(X4,X3)
          & apply(X2,X5,X6)
          & apply(X0,X5,X4)
          & member(X5,X1)
          & X4 != X6
          & member(X6,X3) )
     => ( member(sK1(X0,X1,X2,X3),X3)
        & apply(X2,sK2(X0,X1,X2,X3),sK3(X0,X1,X2,X3))
        & apply(X0,sK2(X0,X1,X2,X3),sK1(X0,X1,X2,X3))
        & member(sK2(X0,X1,X2,X3),X1)
        & sK3(X0,X1,X2,X3) != sK1(X0,X1,X2,X3)
        & member(sK3(X0,X1,X2,X3),X3) ) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ! [X0,X1,X2,X3] :
      ( ( equal_maps(X2,X0,X1,X3)
        | ? [X4,X5,X6] :
            ( member(X4,X3)
            & apply(X2,X5,X6)
            & apply(X0,X5,X4)
            & member(X5,X1)
            & X4 != X6
            & member(X6,X3) ) )
      & ( ! [X7,X8,X9] :
            ( ~ member(X7,X3)
            | ~ apply(X2,X8,X9)
            | ~ apply(X0,X8,X7)
            | ~ member(X8,X1)
            | X7 = X9
            | ~ member(X9,X3) )
        | ~ equal_maps(X2,X0,X1,X3) ) ),
    inference(rectify,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X3,X2] :
      ( ( equal_maps(X3,X0,X1,X2)
        | ? [X4,X6,X5] :
            ( member(X4,X2)
            & apply(X3,X6,X5)
            & apply(X0,X6,X4)
            & member(X6,X1)
            & X4 != X5
            & member(X5,X2) ) )
      & ( ! [X4,X6,X5] :
            ( ~ member(X4,X2)
            | ~ apply(X3,X6,X5)
            | ~ apply(X0,X6,X4)
            | ~ member(X6,X1)
            | X4 = X5
            | ~ member(X5,X2) )
        | ~ equal_maps(X3,X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X3,X2] :
      ( equal_maps(X3,X0,X1,X2)
    <=> ! [X4,X6,X5] :
          ( ~ member(X4,X2)
          | ~ apply(X3,X6,X5)
          | ~ apply(X0,X6,X4)
          | ~ member(X6,X1)
          | X4 = X5
          | ~ member(X5,X2) ) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ! [X3,X2,X1,X0] :
      ( ! [X4,X5,X6] :
          ( X4 = X5
          | ~ apply(X3,X6,X5)
          | ~ apply(X0,X6,X4)
          | ~ member(X4,X2)
          | ~ member(X6,X1)
          | ~ member(X5,X2) )
    <=> equal_maps(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X3,X2,X1,X0] :
      ( ! [X4,X5,X6] :
          ( ( member(X4,X2)
            & member(X6,X1)
            & member(X5,X2) )
         => ( ( apply(X3,X6,X5)
              & apply(X0,X6,X4) )
           => X4 = X5 ) )
    <=> equal_maps(X3,X0,X1,X2) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X9,X0,X1,X5] :
      ( ! [X7,X6,X2] :
          ( ( member(X2,X0)
            & member(X7,X1)
            & member(X6,X1) )
         => ( ( apply(X5,X2,X6)
              & apply(X9,X2,X7) )
           => X6 = X7 ) )
    <=> equal_maps(X5,X9,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_maps) ).

fof(f169,plain,
    ~ equal_maps(sK12,sK10,sK7,sK9),
    inference(cnf_transformation,[],[f105]) ).

fof(f209,plain,
    sK3(sK10,sK7,sK12,sK9) != sK1(sK10,sK7,sK12,sK9),
    inference(unit_resulting_resolution,[],[f169,f140]) ).

fof(f140,plain,
    ! [X2,X3,X0,X1] :
      ( sK3(X0,X1,X2,X3) != sK1(X0,X1,X2,X3)
      | equal_maps(X2,X0,X1,X3) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f201,plain,
    member(sK3(sK10,sK7,sK12,sK9),sK9),
    inference(unit_resulting_resolution,[],[f169,f139]) ).

fof(f139,plain,
    ! [X2,X3,X0,X1] :
      ( member(sK3(X0,X1,X2,X3),X3)
      | equal_maps(X2,X0,X1,X3) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f171,plain,
    injective(sK8,sK9,sK11),
    inference(cnf_transformation,[],[f105]) ).

fof(f696,plain,
    apply(sK8,sK3(sK10,sK7,sK12,sK9),sK6(sK8,sK11,sK1(sK10,sK7,sK12,sK9))),
    inference(backward_demodulation,[],[f230,f695]) ).

fof(f695,plain,
    sK6(sK8,sK11,sK1(sK10,sK7,sK12,sK9)) = sK6(sK8,sK11,sK3(sK10,sK7,sK12,sK9)),
    inference(unit_resulting_resolution,[],[f203,f231,f387,f168,f261,f509,f138]) ).

fof(f138,plain,
    ! [X2,X3,X0,X1,X8,X9,X7] :
      ( ~ apply(X2,X8,X9)
      | ~ member(X7,X3)
      | ~ member(X9,X3)
      | ~ apply(X0,X8,X7)
      | ~ member(X8,X1)
      | ~ equal_maps(X2,X0,X1,X3)
      | X7 = X9 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f509,plain,
    apply(compose_function(sK8,sK10,sK7,sK9,sK11),sK2(sK10,sK7,sK12,sK9),sK6(sK8,sK11,sK1(sK10,sK7,sK12,sK9))),
    inference(unit_resulting_resolution,[],[f205,f203,f210,f261,f260,f162]) ).

fof(f162,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ apply(X3,X2,X7)
      | ~ member(X2,X6)
      | ~ member(X5,X1)
      | ~ apply(X0,X7,X5)
      | apply(compose_function(X0,X3,X6,X4,X1),X2,X5)
      | ~ member(X7,X4) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ member(X5,X1)
      | ( ( apply(compose_function(X0,X3,X6,X4,X1),X2,X5)
          | ! [X7] :
              ( ~ apply(X0,X7,X5)
              | ~ apply(X3,X2,X7)
              | ~ member(X7,X4) ) )
        & ( ( apply(X0,sK5(X0,X2,X3,X4,X5),X5)
            & apply(X3,X2,sK5(X0,X2,X3,X4,X5))
            & member(sK5(X0,X2,X3,X4,X5),X4) )
          | ~ apply(compose_function(X0,X3,X6,X4,X1),X2,X5) ) )
      | ~ member(X2,X6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f96,f97]) ).

fof(f97,plain,
    ! [X0,X2,X3,X4,X5] :
      ( ? [X8] :
          ( apply(X0,X8,X5)
          & apply(X3,X2,X8)
          & member(X8,X4) )
     => ( apply(X0,sK5(X0,X2,X3,X4,X5),X5)
        & apply(X3,X2,sK5(X0,X2,X3,X4,X5))
        & member(sK5(X0,X2,X3,X4,X5),X4) ) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ member(X5,X1)
      | ( ( apply(compose_function(X0,X3,X6,X4,X1),X2,X5)
          | ! [X7] :
              ( ~ apply(X0,X7,X5)
              | ~ apply(X3,X2,X7)
              | ~ member(X7,X4) ) )
        & ( ? [X8] :
              ( apply(X0,X8,X5)
              & apply(X3,X2,X8)
              & member(X8,X4) )
          | ~ apply(compose_function(X0,X3,X6,X4,X1),X2,X5) ) )
      | ~ member(X2,X6) ),
    inference(rectify,[],[f95]) ).

fof(f95,plain,
    ! [X1,X3,X6,X0,X2,X5,X4] :
      ( ~ member(X5,X3)
      | ( ( apply(compose_function(X1,X0,X4,X2,X3),X6,X5)
          | ! [X7] :
              ( ~ apply(X1,X7,X5)
              | ~ apply(X0,X6,X7)
              | ~ member(X7,X2) ) )
        & ( ? [X7] :
              ( apply(X1,X7,X5)
              & apply(X0,X6,X7)
              & member(X7,X2) )
          | ~ apply(compose_function(X1,X0,X4,X2,X3),X6,X5) ) )
      | ~ member(X6,X4) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X1,X3,X6,X0,X2,X5,X4] :
      ( ~ member(X5,X3)
      | ( apply(compose_function(X1,X0,X4,X2,X3),X6,X5)
      <=> ? [X7] :
            ( apply(X1,X7,X5)
            & apply(X0,X6,X7)
            & member(X7,X2) ) )
      | ~ member(X6,X4) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ! [X2,X5,X0,X1,X6,X3,X4] :
      ( ( apply(compose_function(X1,X0,X4,X2,X3),X6,X5)
      <=> ? [X7] :
            ( apply(X1,X7,X5)
            & apply(X0,X6,X7)
            & member(X7,X2) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X3) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X2,X5,X0,X1,X6,X3,X4] :
      ( ( member(X6,X4)
        & member(X5,X3) )
     => ( apply(compose_function(X1,X0,X4,X2,X3),X6,X5)
      <=> ? [X7] :
            ( apply(X1,X7,X5)
            & apply(X0,X6,X7)
            & member(X7,X2) ) ) ),
    inference(rectify,[],[f14]) ).

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

fof(f210,plain,
    apply(sK10,sK2(sK10,sK7,sK12,sK9),sK1(sK10,sK7,sK12,sK9)),
    inference(unit_resulting_resolution,[],[f169,f142]) ).

fof(f142,plain,
    ! [X2,X3,X0,X1] :
      ( apply(X0,sK2(X0,X1,X2,X3),sK1(X0,X1,X2,X3))
      | equal_maps(X2,X0,X1,X3) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f168,plain,
    equal_maps(compose_function(sK8,sK12,sK7,sK9,sK11),compose_function(sK8,sK10,sK7,sK9,sK11),sK7,sK11),
    inference(cnf_transformation,[],[f105]) ).

fof(f387,plain,
    apply(compose_function(sK8,sK12,sK7,sK9,sK11),sK2(sK10,sK7,sK12,sK9),sK6(sK8,sK11,sK3(sK10,sK7,sK12,sK9))),
    inference(unit_resulting_resolution,[],[f201,f203,f211,f231,f230,f162]) ).

fof(f211,plain,
    apply(sK12,sK2(sK10,sK7,sK12,sK9),sK3(sK10,sK7,sK12,sK9)),
    inference(unit_resulting_resolution,[],[f169,f143]) ).

fof(f143,plain,
    ! [X2,X3,X0,X1] :
      ( apply(X2,sK2(X0,X1,X2,X3),sK3(X0,X1,X2,X3))
      | equal_maps(X2,X0,X1,X3) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f231,plain,
    member(sK6(sK8,sK11,sK3(sK10,sK7,sK12,sK9)),sK11),
    inference(unit_resulting_resolution,[],[f173,f201,f164]) ).

fof(f203,plain,
    member(sK2(sK10,sK7,sK12,sK9),sK7),
    inference(unit_resulting_resolution,[],[f169,f141]) ).

fof(f141,plain,
    ! [X2,X3,X0,X1] :
      ( member(sK2(X0,X1,X2,X3),X1)
      | equal_maps(X2,X0,X1,X3) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f230,plain,
    apply(sK8,sK3(sK10,sK7,sK12,sK9),sK6(sK8,sK11,sK3(sK10,sK7,sK12,sK9))),
    inference(unit_resulting_resolution,[],[f173,f201,f163]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET723+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:36:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (3295)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  % (3303)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52  % (3309)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)
% 0.20/0.52  % (3285)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)
% 0.20/0.52  % (3283)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)
% 0.20/0.52  % (3287)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)
% 0.20/0.52  % (3282)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)
% 0.20/0.52  % (3290)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (3290)Instruction limit reached!
% 0.20/0.52  % (3290)------------------------------
% 0.20/0.52  % (3290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3290)Termination reason: Unknown
% 0.20/0.52  % (3290)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (3290)Memory used [KB]: 1023
% 0.20/0.52  % (3290)Time elapsed: 0.003 s
% 0.20/0.52  % (3290)Instructions burned: 4 (million)
% 0.20/0.52  % (3290)------------------------------
% 0.20/0.52  % (3290)------------------------------
% 0.20/0.53  % (3286)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (3291)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)
% 0.20/0.53  % (3301)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  % (3289)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (3304)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)
% 0.20/0.53  % (3300)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (3284)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)
% 0.20/0.54  % (3289)Instruction limit reached!
% 0.20/0.54  % (3289)------------------------------
% 0.20/0.54  % (3289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (3289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (3289)Termination reason: Unknown
% 0.20/0.54  % (3289)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (3289)Memory used [KB]: 5628
% 0.20/0.54  % (3289)Time elapsed: 0.134 s
% 0.20/0.54  % (3289)Instructions burned: 7 (million)
% 0.20/0.54  % (3289)------------------------------
% 0.20/0.54  % (3289)------------------------------
% 0.20/0.54  % (3302)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)
% 0.20/0.54  % (3293)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)
% 0.20/0.54  % (3283)Refutation not found, incomplete strategy% (3283)------------------------------
% 0.20/0.54  % (3283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (3283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (3283)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (3283)Memory used [KB]: 5628
% 0.20/0.54  % (3283)Time elapsed: 0.135 s
% 0.20/0.54  % (3283)Instructions burned: 6 (million)
% 0.20/0.54  % (3283)------------------------------
% 0.20/0.54  % (3283)------------------------------
% 0.20/0.54  % (3305)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)
% 0.20/0.54  % (3294)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (3306)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (3292)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (3307)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (3288)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)
% 0.20/0.55  % (3311)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)
% 0.20/0.55  TRYING [1]
% 0.20/0.55  % (3299)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (3308)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)
% 0.20/0.55  % (3296)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)
% 0.20/0.55  % (3310)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (3297)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)
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [1]
% 0.20/0.57  % (3298)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)
% 0.20/0.57  TRYING [2]
% 1.67/0.58  TRYING [2]
% 1.67/0.59  TRYING [3]
% 1.89/0.60  TRYING [3]
% 1.89/0.60  % (3288)Instruction limit reached!
% 1.89/0.60  % (3288)------------------------------
% 1.89/0.60  % (3288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (3288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (3288)Termination reason: Unknown
% 1.89/0.60  % (3288)Termination phase: Finite model building constraint generation
% 1.89/0.60  
% 1.89/0.60  % (3288)Memory used [KB]: 9466
% 1.89/0.60  % (3288)Time elapsed: 0.154 s
% 1.89/0.60  % (3288)Instructions burned: 54 (million)
% 1.89/0.60  % (3288)------------------------------
% 1.89/0.60  % (3288)------------------------------
% 1.89/0.61  % (3287)Instruction limit reached!
% 1.89/0.61  % (3287)------------------------------
% 1.89/0.61  % (3287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61  % (3287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61  % (3287)Termination reason: Unknown
% 1.89/0.61  % (3287)Termination phase: Saturation
% 1.89/0.61  
% 1.89/0.61  % (3287)Memory used [KB]: 6140
% 1.89/0.61  % (3287)Time elapsed: 0.219 s
% 1.89/0.61  % (3287)Instructions burned: 49 (million)
% 1.89/0.61  % (3287)------------------------------
% 1.89/0.61  % (3287)------------------------------
% 1.89/0.61  TRYING [3]
% 1.89/0.61  % (3286)Instruction limit reached!
% 1.89/0.61  % (3286)------------------------------
% 1.89/0.61  % (3286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61  % (3286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61  % (3286)Termination reason: Unknown
% 1.89/0.61  % (3286)Termination phase: Saturation
% 1.89/0.61  
% 1.89/0.61  % (3286)Memory used [KB]: 6652
% 1.89/0.61  % (3286)Time elapsed: 0.198 s
% 1.89/0.61  % (3286)Instructions burned: 51 (million)
% 1.89/0.61  % (3286)------------------------------
% 1.89/0.61  % (3286)------------------------------
% 1.89/0.62  % (3284)Instruction limit reached!
% 1.89/0.62  % (3284)------------------------------
% 1.89/0.62  % (3284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62  % (3284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62  % (3284)Termination reason: Unknown
% 1.89/0.62  % (3284)Termination phase: Saturation
% 1.89/0.62  
% 1.89/0.62  % (3284)Memory used [KB]: 1663
% 1.89/0.62  % (3284)Time elapsed: 0.218 s
% 1.89/0.62  % (3284)Instructions burned: 39 (million)
% 1.89/0.62  % (3284)------------------------------
% 1.89/0.62  % (3284)------------------------------
% 1.89/0.62  % (3299)Instruction limit reached!
% 1.89/0.62  % (3299)------------------------------
% 1.89/0.62  % (3299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62  % (3299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62  % (3299)Termination reason: Unknown
% 1.89/0.62  % (3299)Termination phase: Finite model building constraint generation
% 1.89/0.62  
% 1.89/0.62  % (3299)Memory used [KB]: 10490
% 1.89/0.62  % (3299)Time elapsed: 0.205 s
% 1.89/0.62  % (3299)Instructions burned: 62 (million)
% 1.89/0.62  % (3299)------------------------------
% 1.89/0.62  % (3299)------------------------------
% 1.89/0.63  % (3291)Instruction limit reached!
% 1.89/0.63  % (3291)------------------------------
% 1.89/0.63  % (3291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.63  % (3291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.63  % (3291)Termination reason: Unknown
% 1.89/0.63  % (3291)Termination phase: Saturation
% 1.89/0.63  
% 1.89/0.63  % (3291)Memory used [KB]: 2558
% 1.89/0.63  % (3291)Time elapsed: 0.204 s
% 1.89/0.63  % (3291)Instructions burned: 51 (million)
% 1.89/0.63  % (3291)------------------------------
% 1.89/0.63  % (3291)------------------------------
% 1.89/0.63  % (3285)Instruction limit reached!
% 1.89/0.63  % (3285)------------------------------
% 1.89/0.63  % (3285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.63  % (3285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.63  % (3285)Termination reason: Unknown
% 1.89/0.63  % (3285)Termination phase: Saturation
% 1.89/0.63  
% 1.89/0.63  % (3285)Memory used [KB]: 6524
% 1.89/0.63  % (3285)Time elapsed: 0.237 s
% 1.89/0.63  % (3285)Instructions burned: 52 (million)
% 1.89/0.63  % (3285)------------------------------
% 1.89/0.63  % (3285)------------------------------
% 1.89/0.64  % (3292)Instruction limit reached!
% 1.89/0.64  % (3292)------------------------------
% 1.89/0.64  % (3292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.65  % (3292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.65  % (3292)Termination reason: Unknown
% 2.33/0.65  % (3292)Termination phase: Saturation
% 2.33/0.65  
% 2.33/0.65  % (3292)Memory used [KB]: 6652
% 2.33/0.65  % (3292)Time elapsed: 0.236 s
% 2.33/0.65  % (3292)Instructions burned: 51 (million)
% 2.33/0.65  % (3292)------------------------------
% 2.33/0.65  % (3292)------------------------------
% 2.33/0.65  % (3308)Instruction limit reached!
% 2.33/0.65  % (3308)------------------------------
% 2.33/0.65  % (3308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.65  % (3308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.65  % (3308)Termination reason: Unknown
% 2.33/0.65  % (3308)Termination phase: Saturation
% 2.33/0.65  
% 2.33/0.65  % (3308)Memory used [KB]: 7036
% 2.33/0.65  % (3308)Time elapsed: 0.049 s
% 2.33/0.65  % (3308)Instructions burned: 68 (million)
% 2.33/0.65  % (3308)------------------------------
% 2.33/0.65  % (3308)------------------------------
% 2.33/0.67  % (3296)Instruction limit reached!
% 2.33/0.67  % (3296)------------------------------
% 2.33/0.67  % (3296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.67  % (3296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.67  % (3296)Termination reason: Unknown
% 2.33/0.67  % (3296)Termination phase: Saturation
% 2.33/0.67  
% 2.33/0.67  % (3296)Memory used [KB]: 7036
% 2.33/0.67  % (3296)Time elapsed: 0.040 s
% 2.33/0.67  % (3296)Instructions burned: 68 (million)
% 2.33/0.67  % (3296)------------------------------
% 2.33/0.67  % (3296)------------------------------
% 2.33/0.68  % (3312)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)
% 2.33/0.68  % (3295)Instruction limit reached!
% 2.33/0.68  % (3295)------------------------------
% 2.33/0.68  % (3295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.68  % (3295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.68  % (3295)Termination reason: Unknown
% 2.33/0.68  % (3295)Termination phase: Saturation
% 2.33/0.68  
% 2.33/0.68  % (3295)Memory used [KB]: 7291
% 2.33/0.68  % (3295)Time elapsed: 0.257 s
% 2.33/0.68  % (3295)Instructions burned: 99 (million)
% 2.33/0.68  % (3295)------------------------------
% 2.33/0.68  % (3295)------------------------------
% 2.33/0.69  % (3314)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 (2998ds/90Mi)
% 2.66/0.70  % (3301)Instruction limit reached!
% 2.66/0.70  % (3301)------------------------------
% 2.66/0.70  % (3301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.70  % (3301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.70  % (3301)Termination reason: Unknown
% 2.66/0.70  % (3301)Termination phase: Saturation
% 2.66/0.70  
% 2.66/0.70  % (3301)Memory used [KB]: 2174
% 2.66/0.70  % (3301)Time elapsed: 0.292 s
% 2.66/0.70  % (3301)Instructions burned: 100 (million)
% 2.66/0.70  % (3301)------------------------------
% 2.66/0.70  % (3301)------------------------------
% 2.66/0.70  % (3298)Instruction limit reached!
% 2.66/0.70  % (3298)------------------------------
% 2.66/0.70  % (3298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.70  % (3298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.70  % (3298)Termination reason: Unknown
% 2.66/0.70  % (3298)Termination phase: Saturation
% 2.66/0.70  
% 2.66/0.70  % (3298)Memory used [KB]: 7164
% 2.66/0.70  % (3298)Time elapsed: 0.312 s
% 2.66/0.70  % (3298)Instructions burned: 100 (million)
% 2.66/0.70  % (3298)------------------------------
% 2.66/0.70  % (3298)------------------------------
% 2.66/0.70  % (3313)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)
% 2.66/0.71  % (3300)Instruction limit reached!
% 2.66/0.71  % (3300)------------------------------
% 2.66/0.71  % (3300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.71  % (3293)Instruction limit reached!
% 2.66/0.71  % (3293)------------------------------
% 2.66/0.71  % (3293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.71  % (3293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.71  % (3300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.71  % (3293)Termination reason: Unknown
% 2.66/0.71  % (3300)Termination reason: Unknown
% 2.66/0.71  % (3293)Termination phase: Saturation
% 2.66/0.71  % (3300)Termination phase: Saturation
% 2.66/0.71  
% 2.66/0.71  
% 2.66/0.71  % (3293)Memory used [KB]: 7036
% 2.66/0.71  % (3300)Memory used [KB]: 7419
% 2.66/0.71  % (3293)Time elapsed: 0.324 s
% 2.66/0.71  % (3300)Time elapsed: 0.319 s
% 2.66/0.71  % (3293)Instructions burned: 100 (million)
% 2.66/0.71  % (3300)Instructions burned: 100 (million)
% 2.66/0.71  % (3293)------------------------------
% 2.66/0.71  % (3293)------------------------------
% 2.66/0.71  % (3300)------------------------------
% 2.66/0.71  % (3300)------------------------------
% 2.66/0.71  % (3297)Instruction limit reached!
% 2.66/0.71  % (3297)------------------------------
% 2.66/0.71  % (3297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.71  % (3297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.71  % (3297)Termination reason: Unknown
% 2.66/0.71  % (3297)Termination phase: Saturation
% 2.66/0.71  
% 2.66/0.71  % (3297)Memory used [KB]: 2430
% 2.66/0.71  % (3297)Time elapsed: 0.252 s
% 2.66/0.71  % (3297)Instructions burned: 75 (million)
% 2.66/0.71  % (3297)------------------------------
% 2.66/0.71  % (3297)------------------------------
% 2.66/0.73  % (3315)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.66/0.74  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.66/0.74  % (3321)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.66/0.74  % (3316)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.66/0.74  % (3294)Instruction limit reached!
% 2.66/0.74  % (3294)------------------------------
% 2.66/0.74  % (3294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.74  % (3294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.74  % (3294)Termination reason: Unknown
% 2.66/0.74  % (3294)Termination phase: Saturation
% 2.66/0.74  
% 2.66/0.74  % (3294)Memory used [KB]: 6908
% 2.66/0.74  % (3294)Time elapsed: 0.351 s
% 2.66/0.74  % (3294)Instructions burned: 101 (million)
% 2.66/0.74  % (3294)------------------------------
% 2.66/0.74  % (3294)------------------------------
% 2.66/0.74  % (3320)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.91/0.77  % (3319)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 (2997ds/68Mi)
% 2.91/0.77  % (3318)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.91/0.78  % (3303)Instruction limit reached!
% 2.91/0.78  % (3303)------------------------------
% 2.91/0.78  % (3303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.78  % (3303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.78  % (3303)Termination reason: Unknown
% 2.91/0.78  % (3303)Termination phase: Saturation
% 2.91/0.78  
% 2.91/0.78  % (3303)Memory used [KB]: 7931
% 2.91/0.78  % (3303)Time elapsed: 0.351 s
% 2.91/0.78  % (3303)Instructions burned: 140 (million)
% 2.91/0.78  % (3303)------------------------------
% 2.91/0.78  % (3303)------------------------------
% 2.91/0.78  % (3317)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.91/0.79  % (3323)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.91/0.80  % (3322)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)
% 2.91/0.80  % (3325)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.91/0.81  % (3324)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.91/0.83  % (3326)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.91/0.85  % (3327)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.22/0.85  % (3328)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.22/0.85  % (3309)Instruction limit reached!
% 3.22/0.85  % (3309)------------------------------
% 3.22/0.85  % (3309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.85  % (3309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.85  % (3309)Termination reason: Unknown
% 3.22/0.85  % (3309)Termination phase: Saturation
% 3.22/0.85  
% 3.22/0.85  % (3309)Memory used [KB]: 4221
% 3.22/0.85  % (3309)Time elapsed: 0.462 s
% 3.22/0.85  % (3309)Instructions burned: 177 (million)
% 3.22/0.85  % (3309)------------------------------
% 3.22/0.85  % (3309)------------------------------
% 3.22/0.86  % (3314)Instruction limit reached!
% 3.22/0.86  % (3314)------------------------------
% 3.22/0.86  % (3314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.86  % (3314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.86  % (3314)Termination reason: Unknown
% 3.22/0.86  % (3314)Termination phase: Saturation
% 3.22/0.86  
% 3.22/0.86  % (3314)Memory used [KB]: 7164
% 3.22/0.86  % (3314)Time elapsed: 0.288 s
% 3.22/0.86  % (3314)Instructions burned: 90 (million)
% 3.22/0.86  % (3314)------------------------------
% 3.22/0.86  % (3314)------------------------------
% 3.22/0.87  % (3329)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 (2996ds/68Mi)
% 3.22/0.87  % (3330)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.22/0.87  % (3321)First to succeed.
% 3.22/0.88  % (3302)Instruction limit reached!
% 3.22/0.88  % (3302)------------------------------
% 3.22/0.88  % (3302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.88  % (3302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.88  % (3302)Termination reason: Unknown
% 3.22/0.88  % (3302)Termination phase: Saturation
% 3.22/0.88  
% 3.22/0.88  % (3302)Memory used [KB]: 7547
% 3.22/0.88  % (3302)Time elapsed: 0.481 s
% 3.22/0.88  % (3302)Instructions burned: 177 (million)
% 3.22/0.88  % (3302)------------------------------
% 3.22/0.88  % (3302)------------------------------
% 3.22/0.88  % (3331)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.39/0.90  % (3321)Refutation found. Thanks to Tanya!
% 3.39/0.90  % SZS status Theorem for theBenchmark
% 3.39/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 3.39/0.90  % (3321)------------------------------
% 3.39/0.90  % (3321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.39/0.90  % (3321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.39/0.90  % (3321)Termination reason: Refutation
% 3.39/0.90  
% 3.39/0.90  % (3321)Memory used [KB]: 6524
% 3.39/0.90  % (3321)Time elapsed: 0.214 s
% 3.39/0.90  % (3321)Instructions burned: 74 (million)
% 3.39/0.90  % (3321)------------------------------
% 3.39/0.90  % (3321)------------------------------
% 3.39/0.90  % (3281)Success in time 0.558 s
%------------------------------------------------------------------------------