TSTP Solution File: SEU215+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU215+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : n014.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 18:32:34 EDT 2022

% Result   : Theorem 1.80s 0.60s
% Output   : Refutation 1.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   94 (  17 unt;   0 def)
%            Number of atoms       :  366 (  57 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  444 ( 172   ~; 177   |;  63   &)
%                                         (  11 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   95 (  84   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f876,plain,
    $false,
    inference(avatar_sat_refutation,[],[f440,f856,f875]) ).

fof(f875,plain,
    ~ spl17_8,
    inference(avatar_contradiction_clause,[],[f874]) ).

fof(f874,plain,
    ( $false
    | ~ spl17_8 ),
    inference(subsumption_resolution,[],[f873,f196]) ).

fof(f196,plain,
    sF13 != sF15,
    inference(definition_folding,[],[f153,f195,f194,f193,f192]) ).

fof(f192,plain,
    apply(sK5,sK4) = sF12,
    introduced(function_definition,[]) ).

fof(f193,plain,
    sF13 = apply(sK6,sF12),
    introduced(function_definition,[]) ).

fof(f194,plain,
    relation_composition(sK5,sK6) = sF14,
    introduced(function_definition,[]) ).

fof(f195,plain,
    apply(sF14,sK4) = sF15,
    introduced(function_definition,[]) ).

fof(f153,plain,
    apply(sK6,apply(sK5,sK4)) != apply(relation_composition(sK5,sK6),sK4),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( relation(sK5)
    & function(sK5)
    & apply(sK6,apply(sK5,sK4)) != apply(relation_composition(sK5,sK6),sK4)
    & in(sK4,relation_dom(sK5))
    & function(sK6)
    & relation(sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f64,f106,f105]) ).

fof(f105,plain,
    ( ? [X0,X1] :
        ( relation(X1)
        & function(X1)
        & ? [X2] :
            ( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
            & in(X0,relation_dom(X1))
            & function(X2)
            & relation(X2) ) )
   => ( relation(sK5)
      & function(sK5)
      & ? [X2] :
          ( apply(X2,apply(sK5,sK4)) != apply(relation_composition(sK5,X2),sK4)
          & in(sK4,relation_dom(sK5))
          & function(X2)
          & relation(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ( ? [X2] :
        ( apply(X2,apply(sK5,sK4)) != apply(relation_composition(sK5,X2),sK4)
        & in(sK4,relation_dom(sK5))
        & function(X2)
        & relation(X2) )
   => ( apply(sK6,apply(sK5,sK4)) != apply(relation_composition(sK5,sK6),sK4)
      & in(sK4,relation_dom(sK5))
      & function(sK6)
      & relation(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ? [X0,X1] :
      ( relation(X1)
      & function(X1)
      & ? [X2] :
          ( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
          & in(X0,relation_dom(X1))
          & function(X2)
          & relation(X2) ) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
          & in(X0,relation_dom(X1))
          & relation(X2)
          & function(X2) )
      & relation(X1)
      & function(X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( relation(X1)
          & function(X1) )
       => ! [X2] :
            ( ( relation(X2)
              & function(X2) )
           => ( in(X0,relation_dom(X1))
             => apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( in(X0,relation_dom(X1))
           => apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).

fof(f873,plain,
    ( sF13 = sF15
    | ~ spl17_8 ),
    inference(forward_demodulation,[],[f872,f193]) ).

fof(f872,plain,
    ( sF15 = apply(sK6,sF12)
    | ~ spl17_8 ),
    inference(forward_demodulation,[],[f871,f192]) ).

fof(f871,plain,
    ( apply(sK6,apply(sK5,sK4)) = sF15
    | ~ spl17_8 ),
    inference(forward_demodulation,[],[f865,f195]) ).

fof(f865,plain,
    ( apply(sK6,apply(sK5,sK4)) = apply(sF14,sK4)
    | ~ spl17_8 ),
    inference(resolution,[],[f385,f432]) ).

fof(f432,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF14))
      | apply(sF14,X0) = apply(sK6,apply(sK5,X0)) ),
    inference(subsumption_resolution,[],[f431,f151]) ).

fof(f151,plain,
    function(sK6),
    inference(cnf_transformation,[],[f107]) ).

fof(f431,plain,
    ! [X0] :
      ( apply(sF14,X0) = apply(sK6,apply(sK5,X0))
      | ~ in(X0,relation_dom(sF14))
      | ~ function(sK6) ),
    inference(subsumption_resolution,[],[f430,f150]) ).

fof(f150,plain,
    relation(sK6),
    inference(cnf_transformation,[],[f107]) ).

fof(f430,plain,
    ! [X0] :
      ( ~ relation(sK6)
      | apply(sF14,X0) = apply(sK6,apply(sK5,X0))
      | ~ in(X0,relation_dom(sF14))
      | ~ function(sK6) ),
    inference(subsumption_resolution,[],[f429,f155]) ).

fof(f155,plain,
    relation(sK5),
    inference(cnf_transformation,[],[f107]) ).

fof(f429,plain,
    ! [X0] :
      ( apply(sF14,X0) = apply(sK6,apply(sK5,X0))
      | ~ in(X0,relation_dom(sF14))
      | ~ relation(sK5)
      | ~ function(sK6)
      | ~ relation(sK6) ),
    inference(subsumption_resolution,[],[f428,f154]) ).

fof(f154,plain,
    function(sK5),
    inference(cnf_transformation,[],[f107]) ).

fof(f428,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF14))
      | ~ function(sK5)
      | ~ relation(sK5)
      | ~ relation(sK6)
      | ~ function(sK6)
      | apply(sF14,X0) = apply(sK6,apply(sK5,X0)) ),
    inference(superposition,[],[f156,f194]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( ~ in(X1,relation_dom(relation_composition(X2,X0)))
      | ~ relation(X2)
      | ~ function(X0)
      | ~ function(X2)
      | ~ relation(X0)
      | apply(relation_composition(X2,X0),X1) = apply(X0,apply(X2,X1)) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ! [X2] :
          ( ~ in(X1,relation_dom(relation_composition(X2,X0)))
          | apply(relation_composition(X2,X0),X1) = apply(X0,apply(X2,X1))
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X0) ),
    inference(flattening,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X2,X0),X1) = apply(X0,apply(X2,X1))
          | ~ in(X1,relation_dom(relation_composition(X2,X0)))
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X1,relation_dom(relation_composition(X2,X0)))
           => apply(relation_composition(X2,X0),X1) = apply(X0,apply(X2,X1)) ) ) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X1,X0] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
           => apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).

fof(f385,plain,
    ( in(sK4,relation_dom(sF14))
    | ~ spl17_8 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl17_8
  <=> in(sK4,relation_dom(sF14)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).

fof(f856,plain,
    ( ~ spl17_6
    | spl17_8 ),
    inference(avatar_contradiction_clause,[],[f855]) ).

fof(f855,plain,
    ( $false
    | ~ spl17_6
    | spl17_8 ),
    inference(subsumption_resolution,[],[f854,f150]) ).

fof(f854,plain,
    ( ~ relation(sK6)
    | ~ spl17_6
    | spl17_8 ),
    inference(subsumption_resolution,[],[f853,f374]) ).

fof(f374,plain,
    ( in(sF12,relation_dom(sK6))
    | ~ spl17_6 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f373,plain,
    ( spl17_6
  <=> in(sF12,relation_dom(sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).

fof(f853,plain,
    ( ~ in(sF12,relation_dom(sK6))
    | ~ relation(sK6)
    | spl17_8 ),
    inference(subsumption_resolution,[],[f852,f386]) ).

fof(f386,plain,
    ( ~ in(sK4,relation_dom(sF14))
    | spl17_8 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f852,plain,
    ( ~ relation(sK6)
    | ~ in(sF12,relation_dom(sK6))
    | in(sK4,relation_dom(sF14)) ),
    inference(subsumption_resolution,[],[f835,f151]) ).

fof(f835,plain,
    ( ~ function(sK6)
    | ~ in(sF12,relation_dom(sK6))
    | ~ relation(sK6)
    | in(sK4,relation_dom(sF14)) ),
    inference(superposition,[],[f424,f194]) ).

fof(f424,plain,
    ! [X2] :
      ( in(sK4,relation_dom(relation_composition(sK5,X2)))
      | ~ relation(X2)
      | ~ in(sF12,relation_dom(X2))
      | ~ function(X2) ),
    inference(subsumption_resolution,[],[f423,f198]) ).

fof(f198,plain,
    in(sK4,sF16),
    inference(definition_folding,[],[f152,f197]) ).

fof(f197,plain,
    relation_dom(sK5) = sF16,
    introduced(function_definition,[]) ).

fof(f152,plain,
    in(sK4,relation_dom(sK5)),
    inference(cnf_transformation,[],[f107]) ).

fof(f423,plain,
    ! [X2] :
      ( ~ in(sK4,sF16)
      | ~ relation(X2)
      | ~ function(X2)
      | in(sK4,relation_dom(relation_composition(sK5,X2)))
      | ~ in(sF12,relation_dom(X2)) ),
    inference(forward_demodulation,[],[f422,f197]) ).

fof(f422,plain,
    ! [X2] :
      ( ~ in(sK4,relation_dom(sK5))
      | in(sK4,relation_dom(relation_composition(sK5,X2)))
      | ~ in(sF12,relation_dom(X2))
      | ~ relation(X2)
      | ~ function(X2) ),
    inference(subsumption_resolution,[],[f421,f155]) ).

fof(f421,plain,
    ! [X2] :
      ( ~ in(sK4,relation_dom(sK5))
      | ~ relation(sK5)
      | ~ in(sF12,relation_dom(X2))
      | in(sK4,relation_dom(relation_composition(sK5,X2)))
      | ~ relation(X2)
      | ~ function(X2) ),
    inference(subsumption_resolution,[],[f411,f154]) ).

fof(f411,plain,
    ! [X2] :
      ( ~ function(sK5)
      | ~ in(sK4,relation_dom(sK5))
      | ~ relation(sK5)
      | ~ in(sF12,relation_dom(X2))
      | ~ relation(X2)
      | ~ function(X2)
      | in(sK4,relation_dom(relation_composition(sK5,X2))) ),
    inference(superposition,[],[f182,f192]) ).

fof(f182,plain,
    ! [X2,X0,X1] :
      ( ~ in(apply(X2,X0),relation_dom(X1))
      | ~ in(X0,relation_dom(X2))
      | ~ relation(X2)
      | ~ function(X1)
      | in(X0,relation_dom(relation_composition(X2,X1)))
      | ~ function(X2)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ relation(X2)
          | ( ( in(X0,relation_dom(relation_composition(X2,X1)))
              | ~ in(X0,relation_dom(X2))
              | ~ in(apply(X2,X0),relation_dom(X1)) )
            & ( ( in(X0,relation_dom(X2))
                & in(apply(X2,X0),relation_dom(X1)) )
              | ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
          | ~ function(X2) ) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ relation(X2)
          | ( ( in(X0,relation_dom(relation_composition(X2,X1)))
              | ~ in(X0,relation_dom(X2))
              | ~ in(apply(X2,X0),relation_dom(X1)) )
            & ( ( in(X0,relation_dom(X2))
                & in(apply(X2,X0),relation_dom(X1)) )
              | ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
          | ~ function(X2) ) ),
    inference(nnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ relation(X2)
          | ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(X0,relation_dom(X2))
              & in(apply(X2,X0),relation_dom(X1)) ) )
          | ~ function(X2) ) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(X0,relation_dom(X2))
              & in(apply(X2,X0),relation_dom(X1)) ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(X0,relation_dom(X2))
              & in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).

fof(f440,plain,
    ( spl17_6
    | spl17_8 ),
    inference(avatar_contradiction_clause,[],[f439]) ).

fof(f439,plain,
    ( $false
    | spl17_6
    | spl17_8 ),
    inference(subsumption_resolution,[],[f438,f402]) ).

fof(f402,plain,
    ( empty_set != sF15
    | spl17_6 ),
    inference(backward_demodulation,[],[f196,f401]) ).

fof(f401,plain,
    ( empty_set = sF13
    | spl17_6 ),
    inference(backward_demodulation,[],[f193,f400]) ).

fof(f400,plain,
    ( empty_set = apply(sK6,sF12)
    | spl17_6 ),
    inference(subsumption_resolution,[],[f399,f150]) ).

fof(f399,plain,
    ( ~ relation(sK6)
    | empty_set = apply(sK6,sF12)
    | spl17_6 ),
    inference(subsumption_resolution,[],[f398,f151]) ).

fof(f398,plain,
    ( ~ function(sK6)
    | empty_set = apply(sK6,sF12)
    | ~ relation(sK6)
    | spl17_6 ),
    inference(resolution,[],[f375,f191]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( in(X1,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0)
      | apply(X0,X1) = empty_set ),
    inference(equality_resolution,[],[f167]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( in(X1,relation_dom(X0))
      | empty_set = X2
      | apply(X0,X1) != X2
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( ( apply(X0,X1) = X2
                | ~ in(ordered_pair(X1,X2),X0) )
              & ( in(ordered_pair(X1,X2),X0)
                | apply(X0,X1) != X2 ) )
            | ~ in(X1,relation_dom(X0)) )
          & ( in(X1,relation_dom(X0))
            | ( ( apply(X0,X1) = X2
                | empty_set != X2 )
              & ( empty_set = X2
                | apply(X0,X1) != X2 ) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) )
          & ( in(X1,relation_dom(X0))
            | ( apply(X0,X1) = X2
            <=> empty_set = X2 ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) )
          & ( in(X1,relation_dom(X0))
            | ( apply(X0,X1) = X2
            <=> empty_set = X2 ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X1,X2] :
          ( ( in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) ) )
          & ( ~ in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> empty_set = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).

fof(f375,plain,
    ( ~ in(sF12,relation_dom(sK6))
    | spl17_6 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f438,plain,
    ( empty_set = sF15
    | spl17_8 ),
    inference(backward_demodulation,[],[f195,f437]) ).

fof(f437,plain,
    ( empty_set = apply(sF14,sK4)
    | spl17_8 ),
    inference(subsumption_resolution,[],[f436,f316]) ).

fof(f316,plain,
    function(sF14),
    inference(subsumption_resolution,[],[f315,f151]) ).

fof(f315,plain,
    ( ~ function(sK6)
    | function(sF14) ),
    inference(subsumption_resolution,[],[f314,f154]) ).

fof(f314,plain,
    ( ~ function(sK5)
    | function(sF14)
    | ~ function(sK6) ),
    inference(subsumption_resolution,[],[f313,f155]) ).

fof(f313,plain,
    ( function(sF14)
    | ~ relation(sK5)
    | ~ function(sK5)
    | ~ function(sK6) ),
    inference(subsumption_resolution,[],[f312,f150]) ).

fof(f312,plain,
    ( ~ relation(sK6)
    | ~ function(sK5)
    | function(sF14)
    | ~ relation(sK5)
    | ~ function(sK6) ),
    inference(superposition,[],[f137,f194]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( function(relation_composition(X1,X0))
      | ~ relation(X1)
      | ~ relation(X0)
      | ~ function(X0)
      | ~ function(X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ( relation(relation_composition(X1,X0))
        & function(relation_composition(X1,X0)) )
      | ~ relation(X1)
      | ~ relation(X0)
      | ~ function(X1) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ! [X1,X0] :
      ( ~ function(X1)
      | ( relation(relation_composition(X0,X1))
        & function(relation_composition(X0,X1)) )
      | ~ relation(X0)
      | ~ relation(X1)
      | ~ function(X0) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ( relation(relation_composition(X0,X1))
        & function(relation_composition(X0,X1)) )
      | ~ relation(X1)
      | ~ relation(X0)
      | ~ function(X0)
      | ~ function(X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & relation(X0)
        & function(X0)
        & function(X1) )
     => ( relation(relation_composition(X0,X1))
        & function(relation_composition(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).

fof(f436,plain,
    ( empty_set = apply(sF14,sK4)
    | ~ function(sF14)
    | spl17_8 ),
    inference(subsumption_resolution,[],[f435,f276]) ).

fof(f276,plain,
    relation(sF14),
    inference(subsumption_resolution,[],[f275,f155]) ).

fof(f275,plain,
    ( ~ relation(sK5)
    | relation(sF14) ),
    inference(subsumption_resolution,[],[f274,f150]) ).

fof(f274,plain,
    ( ~ relation(sK6)
    | ~ relation(sK5)
    | relation(sF14) ),
    inference(superposition,[],[f159,f194]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X0)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | relation(relation_composition(X0,X1))
      | ~ relation(X0) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X1,X0] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X0)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0] :
      ( ( relation(X0)
        & relation(X1) )
     => relation(relation_composition(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).

fof(f435,plain,
    ( ~ relation(sF14)
    | ~ function(sF14)
    | empty_set = apply(sF14,sK4)
    | spl17_8 ),
    inference(resolution,[],[f386,f191]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU215+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % 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 : n014.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 14:51:33 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (5205)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49  % (5197)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (5197)Instruction limit reached!
% 0.19/0.50  % (5197)------------------------------
% 0.19/0.50  % (5197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (5197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (5197)Termination reason: Unknown
% 0.19/0.50  % (5197)Termination phase: Preprocessing 2
% 0.19/0.50  
% 0.19/0.50  % (5197)Memory used [KB]: 895
% 0.19/0.50  % (5197)Time elapsed: 0.003 s
% 0.19/0.50  % (5197)Instructions burned: 2 (million)
% 0.19/0.50  % (5197)------------------------------
% 0.19/0.50  % (5197)------------------------------
% 0.19/0.50  % (5201)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (5189)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)
% 0.19/0.51  % (5202)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (5203)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51  % (5190)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (5215)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (5192)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)
% 0.19/0.52  % (5193)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (5194)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)
% 0.19/0.52  % (5191)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)
% 0.19/0.52  % (5213)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (5211)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53  % (5204)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)
% 0.19/0.53  % (5216)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)
% 0.19/0.53  % (5206)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (5218)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)
% 0.19/0.53  % (5207)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (5208)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)
% 0.19/0.53  % (5199)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (5198)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)
% 0.19/0.53  % (5196)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (5217)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (5190)Refutation not found, incomplete strategy% (5190)------------------------------
% 0.19/0.53  % (5190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5212)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)
% 0.19/0.53  % (5214)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53  % (5190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (5190)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (5190)Memory used [KB]: 5500
% 0.19/0.53  % (5190)Time elapsed: 0.129 s
% 0.19/0.53  % (5190)Instructions burned: 6 (million)
% 0.19/0.53  % (5190)------------------------------
% 0.19/0.53  % (5190)------------------------------
% 0.19/0.53  % (5200)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)
% 0.19/0.54  % (5209)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)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  % (5195)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (5210)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55  TRYING [3]
% 1.48/0.56  % (5196)Instruction limit reached!
% 1.48/0.56  % (5196)------------------------------
% 1.48/0.56  % (5196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.56  % (5196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.56  % (5196)Termination reason: Unknown
% 1.48/0.56  % (5196)Termination phase: Saturation
% 1.48/0.56  
% 1.48/0.56  % (5196)Memory used [KB]: 5500
% 1.48/0.56  % (5196)Time elapsed: 0.171 s
% 1.48/0.56  % (5196)Instructions burned: 7 (million)
% 1.48/0.56  % (5196)------------------------------
% 1.48/0.56  % (5196)------------------------------
% 1.48/0.57  TRYING [4]
% 1.48/0.58  TRYING [4]
% 1.80/0.58  TRYING [4]
% 1.80/0.59  % (5213)First to succeed.
% 1.80/0.59  % (5191)Instruction limit reached!
% 1.80/0.59  % (5191)------------------------------
% 1.80/0.59  % (5191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59  % (5191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59  % (5191)Termination reason: Unknown
% 1.80/0.59  % (5191)Termination phase: Saturation
% 1.80/0.59  
% 1.80/0.59  % (5191)Memory used [KB]: 1407
% 1.80/0.59  % (5191)Time elapsed: 0.180 s
% 1.80/0.59  % (5191)Instructions burned: 37 (million)
% 1.80/0.59  % (5191)------------------------------
% 1.80/0.59  % (5191)------------------------------
% 1.80/0.59  % (5195)Instruction limit reached!
% 1.80/0.59  % (5195)------------------------------
% 1.80/0.59  % (5195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60  % (5194)Instruction limit reached!
% 1.80/0.60  % (5194)------------------------------
% 1.80/0.60  % (5194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60  % (5213)Refutation found. Thanks to Tanya!
% 1.80/0.60  % SZS status Theorem for theBenchmark
% 1.80/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.60  % (5213)------------------------------
% 1.80/0.60  % (5213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60  % (5213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60  % (5213)Termination reason: Refutation
% 1.80/0.60  
% 1.80/0.60  % (5213)Memory used [KB]: 5884
% 1.80/0.60  % (5213)Time elapsed: 0.196 s
% 1.80/0.60  % (5213)Instructions burned: 31 (million)
% 1.80/0.60  % (5213)------------------------------
% 1.80/0.60  % (5213)------------------------------
% 1.80/0.60  % (5188)Success in time 0.251 s
%------------------------------------------------------------------------------