TSTP Solution File: ALG020+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG020+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 : Sun May  5 04:10:00 EDT 2024

% Result   : Theorem 0.65s 0.76s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  128 (  33 unt;   0 def)
%            Number of atoms       :  569 ( 433 equ)
%            Maximal formula atoms :   72 (   4 avg)
%            Number of connectives :  553 ( 112   ~; 197   |; 226   &)
%                                         (  16 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   51 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1210,plain,
    $false,
    inference(avatar_sat_refutation,[],[f251,f268,f285,f308,f327,f399,f432,f435,f582,f649,f674,f823,f843,f921,f1063,f1106,f1125]) ).

fof(f1125,plain,
    ~ spl0_31,
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1124,plain,
    ( $false
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f1123,f21]) ).

fof(f21,plain,
    e22 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( e22 != e23
    & e21 != e23
    & e21 != e22
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    file('/export/starexec/sandbox2/tmp/tmp.8yeFzxEy33/Vampire---4.8_883',ax2) ).

fof(f1123,plain,
    ( e22 = e23
    | ~ spl0_31 ),
    inference(backward_demodulation,[],[f64,f1116]) ).

fof(f1116,plain,
    ( e22 = op2(e22,e22)
    | ~ spl0_31 ),
    inference(backward_demodulation,[],[f149,f280]) ).

fof(f280,plain,
    ( e22 = h(e10)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl0_31
  <=> e22 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f149,plain,
    h(e10) = op2(h(e10),h(e10)),
    inference(forward_demodulation,[],[f78,f38]) ).

fof(f38,plain,
    e10 = op1(e10,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( e10 = op1(e13,e13)
    & e11 = op1(e13,e12)
    & e12 = op1(e13,e11)
    & e13 = op1(e13,e10)
    & e11 = op1(e12,e13)
    & e10 = op1(e12,e12)
    & e13 = op1(e12,e11)
    & e12 = op1(e12,e10)
    & e12 = op1(e11,e13)
    & e13 = op1(e11,e12)
    & e10 = op1(e11,e11)
    & e11 = op1(e11,e10)
    & e13 = op1(e10,e13)
    & e12 = op1(e10,e12)
    & e11 = op1(e10,e11)
    & e10 = op1(e10,e10) ),
    file('/export/starexec/sandbox2/tmp/tmp.8yeFzxEy33/Vampire---4.8_883',ax4) ).

fof(f78,plain,
    h(op1(e10,e10)) = op2(h(e10),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( e13 = j(h(e13))
    & e12 = j(h(e12))
    & e11 = j(h(e11))
    & e10 = j(h(e10))
    & e23 = h(j(e23))
    & e22 = h(j(e22))
    & e21 = h(j(e21))
    & e20 = h(j(e20))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e10)) = op2(h(e10),h(e10))
    & ( e13 = j(e23)
      | e12 = j(e23)
      | e11 = j(e23)
      | e10 = j(e23) )
    & ( e13 = j(e22)
      | e12 = j(e22)
      | e11 = j(e22)
      | e10 = j(e22) )
    & ( e13 = j(e21)
      | e12 = j(e21)
      | e11 = j(e21)
      | e10 = j(e21) )
    & ( e13 = j(e20)
      | e12 = j(e20)
      | e11 = j(e20)
      | e10 = j(e20) )
    & ( e23 = h(e13)
      | e22 = h(e13)
      | e21 = h(e13)
      | e20 = h(e13) )
    & ( e23 = h(e12)
      | e22 = h(e12)
      | e21 = h(e12)
      | e20 = h(e12) )
    & ( e23 = h(e11)
      | e22 = h(e11)
      | e21 = h(e11)
      | e20 = h(e11) )
    & ( e23 = h(e10)
      | e22 = h(e10)
      | e21 = h(e10)
      | e20 = h(e10) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ( e13 = j(h(e13))
    & e12 = j(h(e12))
    & e11 = j(h(e11))
    & e10 = j(h(e10))
    & e23 = h(j(e23))
    & e22 = h(j(e22))
    & e21 = h(j(e21))
    & e20 = h(j(e20))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e10)) = op2(h(e10),h(e10))
    & ( e13 = j(e23)
      | e12 = j(e23)
      | e11 = j(e23)
      | e10 = j(e23) )
    & ( e13 = j(e22)
      | e12 = j(e22)
      | e11 = j(e22)
      | e10 = j(e22) )
    & ( e13 = j(e21)
      | e12 = j(e21)
      | e11 = j(e21)
      | e10 = j(e21) )
    & ( e13 = j(e20)
      | e12 = j(e20)
      | e11 = j(e20)
      | e10 = j(e20) )
    & ( e23 = h(e13)
      | e22 = h(e13)
      | e21 = h(e13)
      | e20 = h(e13) )
    & ( e23 = h(e12)
      | e22 = h(e12)
      | e21 = h(e12)
      | e20 = h(e12) )
    & ( e23 = h(e11)
      | e22 = h(e11)
      | e21 = h(e11)
      | e20 = h(e11) )
    & ( e23 = h(e10)
      | e22 = h(e10)
      | e21 = h(e10)
      | e20 = h(e10) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,negated_conjecture,
    ~ ( ( ( e13 = j(e23)
          | e12 = j(e23)
          | e11 = j(e23)
          | e10 = j(e23) )
        & ( e13 = j(e22)
          | e12 = j(e22)
          | e11 = j(e22)
          | e10 = j(e22) )
        & ( e13 = j(e21)
          | e12 = j(e21)
          | e11 = j(e21)
          | e10 = j(e21) )
        & ( e13 = j(e20)
          | e12 = j(e20)
          | e11 = j(e20)
          | e10 = j(e20) )
        & ( e23 = h(e13)
          | e22 = h(e13)
          | e21 = h(e13)
          | e20 = h(e13) )
        & ( e23 = h(e12)
          | e22 = h(e12)
          | e21 = h(e12)
          | e20 = h(e12) )
        & ( e23 = h(e11)
          | e22 = h(e11)
          | e21 = h(e11)
          | e20 = h(e11) )
        & ( e23 = h(e10)
          | e22 = h(e10)
          | e21 = h(e10)
          | e20 = h(e10) ) )
     => ~ ( e13 = j(h(e13))
          & e12 = j(h(e12))
          & e11 = j(h(e11))
          & e10 = j(h(e10))
          & e23 = h(j(e23))
          & e22 = h(j(e22))
          & e21 = h(j(e21))
          & e20 = h(j(e20))
          & j(op2(e23,e23)) = op1(j(e23),j(e23))
          & j(op2(e23,e22)) = op1(j(e23),j(e22))
          & j(op2(e23,e21)) = op1(j(e23),j(e21))
          & j(op2(e23,e20)) = op1(j(e23),j(e20))
          & j(op2(e22,e23)) = op1(j(e22),j(e23))
          & j(op2(e22,e22)) = op1(j(e22),j(e22))
          & j(op2(e22,e21)) = op1(j(e22),j(e21))
          & j(op2(e22,e20)) = op1(j(e22),j(e20))
          & j(op2(e21,e23)) = op1(j(e21),j(e23))
          & j(op2(e21,e22)) = op1(j(e21),j(e22))
          & j(op2(e21,e21)) = op1(j(e21),j(e21))
          & j(op2(e21,e20)) = op1(j(e21),j(e20))
          & j(op2(e20,e23)) = op1(j(e20),j(e23))
          & j(op2(e20,e22)) = op1(j(e20),j(e22))
          & j(op2(e20,e21)) = op1(j(e20),j(e21))
          & j(op2(e20,e20)) = op1(j(e20),j(e20))
          & h(op1(e13,e13)) = op2(h(e13),h(e13))
          & h(op1(e13,e12)) = op2(h(e13),h(e12))
          & h(op1(e13,e11)) = op2(h(e13),h(e11))
          & h(op1(e13,e10)) = op2(h(e13),h(e10))
          & h(op1(e12,e13)) = op2(h(e12),h(e13))
          & h(op1(e12,e12)) = op2(h(e12),h(e12))
          & h(op1(e12,e11)) = op2(h(e12),h(e11))
          & h(op1(e12,e10)) = op2(h(e12),h(e10))
          & h(op1(e11,e13)) = op2(h(e11),h(e13))
          & h(op1(e11,e12)) = op2(h(e11),h(e12))
          & h(op1(e11,e11)) = op2(h(e11),h(e11))
          & h(op1(e11,e10)) = op2(h(e11),h(e10))
          & h(op1(e10,e13)) = op2(h(e10),h(e13))
          & h(op1(e10,e12)) = op2(h(e10),h(e12))
          & h(op1(e10,e11)) = op2(h(e10),h(e11))
          & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    inference(negated_conjecture,[],[f6]) ).

fof(f6,conjecture,
    ( ( ( e13 = j(e23)
        | e12 = j(e23)
        | e11 = j(e23)
        | e10 = j(e23) )
      & ( e13 = j(e22)
        | e12 = j(e22)
        | e11 = j(e22)
        | e10 = j(e22) )
      & ( e13 = j(e21)
        | e12 = j(e21)
        | e11 = j(e21)
        | e10 = j(e21) )
      & ( e13 = j(e20)
        | e12 = j(e20)
        | e11 = j(e20)
        | e10 = j(e20) )
      & ( e23 = h(e13)
        | e22 = h(e13)
        | e21 = h(e13)
        | e20 = h(e13) )
      & ( e23 = h(e12)
        | e22 = h(e12)
        | e21 = h(e12)
        | e20 = h(e12) )
      & ( e23 = h(e11)
        | e22 = h(e11)
        | e21 = h(e11)
        | e20 = h(e11) )
      & ( e23 = h(e10)
        | e22 = h(e10)
        | e21 = h(e10)
        | e20 = h(e10) ) )
   => ~ ( e13 = j(h(e13))
        & e12 = j(h(e12))
        & e11 = j(h(e11))
        & e10 = j(h(e10))
        & e23 = h(j(e23))
        & e22 = h(j(e22))
        & e21 = h(j(e21))
        & e20 = h(j(e20))
        & j(op2(e23,e23)) = op1(j(e23),j(e23))
        & j(op2(e23,e22)) = op1(j(e23),j(e22))
        & j(op2(e23,e21)) = op1(j(e23),j(e21))
        & j(op2(e23,e20)) = op1(j(e23),j(e20))
        & j(op2(e22,e23)) = op1(j(e22),j(e23))
        & j(op2(e22,e22)) = op1(j(e22),j(e22))
        & j(op2(e22,e21)) = op1(j(e22),j(e21))
        & j(op2(e22,e20)) = op1(j(e22),j(e20))
        & j(op2(e21,e23)) = op1(j(e21),j(e23))
        & j(op2(e21,e22)) = op1(j(e21),j(e22))
        & j(op2(e21,e21)) = op1(j(e21),j(e21))
        & j(op2(e21,e20)) = op1(j(e21),j(e20))
        & j(op2(e20,e23)) = op1(j(e20),j(e23))
        & j(op2(e20,e22)) = op1(j(e20),j(e22))
        & j(op2(e20,e21)) = op1(j(e20),j(e21))
        & j(op2(e20,e20)) = op1(j(e20),j(e20))
        & h(op1(e13,e13)) = op2(h(e13),h(e13))
        & h(op1(e13,e12)) = op2(h(e13),h(e12))
        & h(op1(e13,e11)) = op2(h(e13),h(e11))
        & h(op1(e13,e10)) = op2(h(e13),h(e10))
        & h(op1(e12,e13)) = op2(h(e12),h(e13))
        & h(op1(e12,e12)) = op2(h(e12),h(e12))
        & h(op1(e12,e11)) = op2(h(e12),h(e11))
        & h(op1(e12,e10)) = op2(h(e12),h(e10))
        & h(op1(e11,e13)) = op2(h(e11),h(e13))
        & h(op1(e11,e12)) = op2(h(e11),h(e12))
        & h(op1(e11,e11)) = op2(h(e11),h(e11))
        & h(op1(e11,e10)) = op2(h(e11),h(e10))
        & h(op1(e10,e13)) = op2(h(e10),h(e13))
        & h(op1(e10,e12)) = op2(h(e10),h(e12))
        & h(op1(e10,e11)) = op2(h(e10),h(e11))
        & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8yeFzxEy33/Vampire---4.8_883',co1) ).

fof(f64,plain,
    e23 = op2(e22,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e20 = op2(e23,e23)
    & e21 = op2(e23,e22)
    & e22 = op2(e23,e21)
    & e23 = op2(e23,e20)
    & e21 = op2(e22,e23)
    & e23 = op2(e22,e22)
    & e20 = op2(e22,e21)
    & e22 = op2(e22,e20)
    & e22 = op2(e21,e23)
    & e20 = op2(e21,e22)
    & e23 = op2(e21,e21)
    & e21 = op2(e21,e20)
    & e23 = op2(e20,e23)
    & e22 = op2(e20,e22)
    & e21 = op2(e20,e21)
    & e20 = op2(e20,e20) ),
    file('/export/starexec/sandbox2/tmp/tmp.8yeFzxEy33/Vampire---4.8_883',ax5) ).

fof(f1106,plain,
    ( spl0_32
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1105,f240,f282]) ).

fof(f282,plain,
    ( spl0_32
  <=> e23 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f240,plain,
    ( spl0_22
  <=> e21 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1105,plain,
    ( e23 = h(e10)
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1104,f59]) ).

fof(f59,plain,
    e23 = op2(e21,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f1104,plain,
    ( op2(e21,e21) = h(e10)
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f139,f242]) ).

fof(f242,plain,
    ( e21 = h(e12)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f139,plain,
    h(e10) = op2(h(e12),h(e12)),
    inference(forward_demodulation,[],[f88,f48]) ).

fof(f48,plain,
    e10 = op1(e12,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f88,plain,
    h(op1(e12,e12)) = op2(h(e12),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f1063,plain,
    ~ spl0_14,
    inference(avatar_contradiction_clause,[],[f1062]) ).

fof(f1062,plain,
    ( $false
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1061,f10]) ).

fof(f10,plain,
    e10 != e11,
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( e12 != e13
    & e11 != e13
    & e11 != e12
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    file('/export/starexec/sandbox2/tmp/tmp.8yeFzxEy33/Vampire---4.8_883',ax1) ).

fof(f1061,plain,
    ( e10 = e11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1060,f43]) ).

fof(f43,plain,
    e10 = op1(e11,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f1060,plain,
    ( e11 = op1(e11,e11)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f133,f208]) ).

fof(f208,plain,
    ( e11 = j(e20)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f206,plain,
    ( spl0_14
  <=> e11 = j(e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f133,plain,
    j(e20) = op1(j(e20),j(e20)),
    inference(forward_demodulation,[],[f94,f54]) ).

fof(f54,plain,
    e20 = op2(e20,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    j(op2(e20,e20)) = op1(j(e20),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f921,plain,
    ~ spl0_32,
    inference(avatar_contradiction_clause,[],[f920]) ).

fof(f920,plain,
    ( $false
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f919,f18]) ).

fof(f18,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f919,plain,
    ( e20 = e23
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f917,f69]) ).

fof(f69,plain,
    e20 = op2(e23,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f917,plain,
    ( e23 = op2(e23,e23)
    | ~ spl0_32 ),
    inference(backward_demodulation,[],[f149,f284]) ).

fof(f284,plain,
    ( e23 = h(e10)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f843,plain,
    ( ~ spl0_27
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f842]) ).

fof(f842,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f841,f18]) ).

fof(f841,plain,
    ( e20 = e23
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f64,f830]) ).

fof(f830,plain,
    ( e20 = op2(e22,e22)
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f814,f263]) ).

fof(f263,plain,
    ( e22 = h(e11)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl0_27
  <=> e22 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f814,plain,
    ( e20 = op2(h(e11),h(e11))
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f144,f272]) ).

fof(f272,plain,
    ( e20 = h(e10)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl0_29
  <=> e20 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f144,plain,
    h(e10) = op2(h(e11),h(e11)),
    inference(forward_demodulation,[],[f83,f43]) ).

fof(f83,plain,
    h(op1(e11,e11)) = op2(h(e11),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f823,plain,
    ( spl0_13
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f813,f270,f202]) ).

fof(f202,plain,
    ( spl0_13
  <=> e10 = j(e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f813,plain,
    ( e10 = j(e20)
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f114,f272]) ).

fof(f114,plain,
    e10 = j(h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f674,plain,
    ( spl0_17
    | ~ spl0_24
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f673]) ).

fof(f673,plain,
    ( $false
    | spl0_17
    | ~ spl0_24
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f672,f220]) ).

fof(f220,plain,
    ( e20 != h(e13)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl0_17
  <=> e20 = h(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f672,plain,
    ( e20 = h(e13)
    | ~ spl0_24
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f662,f69]) ).

fof(f662,plain,
    ( op2(e23,e23) = h(e13)
    | ~ spl0_24
    | ~ spl0_28 ),
    inference(backward_demodulation,[],[f477,f250]) ).

fof(f250,plain,
    ( e23 = h(e12)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl0_24
  <=> e23 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f477,plain,
    ( h(e13) = op2(e23,h(e12))
    | ~ spl0_28 ),
    inference(backward_demodulation,[],[f143,f267]) ).

fof(f267,plain,
    ( e23 = h(e11)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl0_28
  <=> e23 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f143,plain,
    h(e13) = op2(h(e11),h(e12)),
    inference(forward_demodulation,[],[f84,f44]) ).

fof(f44,plain,
    e13 = op1(e11,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f84,plain,
    h(op1(e11,e12)) = op2(h(e11),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f649,plain,
    ~ spl0_30,
    inference(avatar_contradiction_clause,[],[f648]) ).

fof(f648,plain,
    ( $false
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f647,f20]) ).

fof(f20,plain,
    e21 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f647,plain,
    ( e21 = e23
    | ~ spl0_30 ),
    inference(backward_demodulation,[],[f59,f643]) ).

fof(f643,plain,
    ( e21 = op2(e21,e21)
    | ~ spl0_30 ),
    inference(backward_demodulation,[],[f149,f276]) ).

fof(f276,plain,
    ( e21 = h(e10)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl0_30
  <=> e21 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f582,plain,
    ( ~ spl0_23
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f581]) ).

fof(f581,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f580,f18]) ).

fof(f580,plain,
    ( e20 = e23
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f64,f572]) ).

fof(f572,plain,
    ( e20 = op2(e22,e22)
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f289,f246]) ).

fof(f246,plain,
    ( e22 = h(e12)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl0_23
  <=> e22 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f289,plain,
    ( e20 = op2(h(e12),h(e12))
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f139,f272]) ).

fof(f435,plain,
    ( ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f434]) ).

fof(f434,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f433,f11]) ).

fof(f11,plain,
    e10 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f433,plain,
    ( e10 = e12
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f212,f204]) ).

fof(f204,plain,
    ( e10 = j(e20)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f212,plain,
    ( e12 = j(e20)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl0_15
  <=> e12 = j(e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f432,plain,
    ( ~ spl0_26
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f431]) ).

fof(f431,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f430,f18]) ).

fof(f430,plain,
    ( e20 = e23
    | ~ spl0_26
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f59,f426]) ).

fof(f426,plain,
    ( e20 = op2(e21,e21)
    | ~ spl0_26
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f291,f259]) ).

fof(f259,plain,
    ( e21 = h(e11)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl0_26
  <=> e21 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f291,plain,
    ( e20 = op2(h(e11),h(e11))
    | ~ spl0_29 ),
    inference(backward_demodulation,[],[f144,f272]) ).

fof(f399,plain,
    ( ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f398]) ).

fof(f398,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f397,f12]) ).

fof(f12,plain,
    e10 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f397,plain,
    ( e10 = e13
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f396,f204]) ).

fof(f396,plain,
    ( e13 = j(e20)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f117,f221]) ).

fof(f221,plain,
    ( e20 = h(e13)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f117,plain,
    e13 = j(h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f327,plain,
    ( spl0_15
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f322,f236,f210]) ).

fof(f236,plain,
    ( spl0_21
  <=> e20 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f322,plain,
    ( e12 = j(e20)
    | ~ spl0_21 ),
    inference(backward_demodulation,[],[f116,f238]) ).

fof(f238,plain,
    ( e20 = h(e12)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f116,plain,
    e12 = j(h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f308,plain,
    ( spl0_14
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f298,f253,f206]) ).

fof(f253,plain,
    ( spl0_25
  <=> e20 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f298,plain,
    ( e11 = j(e20)
    | ~ spl0_25 ),
    inference(backward_demodulation,[],[f115,f255]) ).

fof(f255,plain,
    ( e20 = h(e11)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f115,plain,
    e11 = j(h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f285,plain,
    ( spl0_29
    | spl0_30
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f70,f282,f278,f274,f270]) ).

fof(f70,plain,
    ( e23 = h(e10)
    | e22 = h(e10)
    | e21 = h(e10)
    | e20 = h(e10) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f268,plain,
    ( spl0_25
    | spl0_26
    | spl0_27
    | spl0_28 ),
    inference(avatar_split_clause,[],[f71,f265,f261,f257,f253]) ).

fof(f71,plain,
    ( e23 = h(e11)
    | e22 = h(e11)
    | e21 = h(e11)
    | e20 = h(e11) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f251,plain,
    ( spl0_21
    | spl0_22
    | spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f72,f248,f244,f240,f236]) ).

fof(f72,plain,
    ( e23 = h(e12)
    | e22 = h(e12)
    | e21 = h(e12)
    | e20 = h(e12) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : ALG020+1 : TPTP v8.1.2. Released v2.7.0.
% 0.14/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 19:59:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_PEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.8yeFzxEy33/Vampire---4.8_883
% 0.57/0.74  % (1254)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74  % (1247)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (1249)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (1248)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74  % (1251)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (1250)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (1252)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74  % (1253)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.74  % (1254)Refutation not found, incomplete strategy% (1254)------------------------------
% 0.57/0.74  % (1254)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (1254)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (1254)Memory used [KB]: 1085
% 0.57/0.74  % (1254)Time elapsed: 0.003 s
% 0.57/0.74  % (1254)Instructions burned: 6 (million)
% 0.57/0.74  % (1254)------------------------------
% 0.57/0.74  % (1254)------------------------------
% 0.57/0.75  % (1256)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75  % (1251)Refutation not found, incomplete strategy% (1251)------------------------------
% 0.57/0.75  % (1251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (1251)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (1251)Memory used [KB]: 1099
% 0.57/0.75  % (1251)Time elapsed: 0.005 s
% 0.57/0.75  % (1251)Instructions burned: 7 (million)
% 0.57/0.75  % (1247)Refutation not found, incomplete strategy% (1247)------------------------------
% 0.57/0.75  % (1247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (1247)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (1247)Memory used [KB]: 1098
% 0.57/0.75  % (1247)Time elapsed: 0.005 s
% 0.57/0.75  % (1247)Instructions burned: 8 (million)
% 0.57/0.75  % (1251)------------------------------
% 0.57/0.75  % (1251)------------------------------
% 0.57/0.75  % (1247)------------------------------
% 0.57/0.75  % (1247)------------------------------
% 0.57/0.75  % (1252)Refutation not found, incomplete strategy% (1252)------------------------------
% 0.57/0.75  % (1252)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (1252)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (1252)Memory used [KB]: 1171
% 0.57/0.75  % (1252)Time elapsed: 0.009 s
% 0.57/0.75  % (1258)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.75  % (1252)Instructions burned: 16 (million)
% 0.57/0.75  % (1259)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.75  % (1252)------------------------------
% 0.57/0.75  % (1252)------------------------------
% 0.57/0.75  % (1261)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.76  % (1258)Refutation not found, incomplete strategy% (1258)------------------------------
% 0.57/0.76  % (1258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (1258)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (1258)Memory used [KB]: 1163
% 0.57/0.76  % (1258)Time elapsed: 0.007 s
% 0.57/0.76  % (1258)Instructions burned: 12 (million)
% 0.57/0.76  % (1258)------------------------------
% 0.57/0.76  % (1258)------------------------------
% 0.57/0.76  % (1250)Instruction limit reached!
% 0.57/0.76  % (1250)------------------------------
% 0.57/0.76  % (1250)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (1250)Termination reason: Unknown
% 0.57/0.76  % (1250)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (1250)Memory used [KB]: 1281
% 0.57/0.76  % (1250)Time elapsed: 0.018 s
% 0.57/0.76  % (1250)Instructions burned: 33 (million)
% 0.57/0.76  % (1250)------------------------------
% 0.57/0.76  % (1250)------------------------------
% 0.65/0.76  % (1256)First to succeed.
% 0.65/0.76  % (1264)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.65/0.76  % (1253)Also succeeded, but the first one will report.
% 0.65/0.76  % (1256)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1085"
% 0.65/0.76  % (1256)Refutation found. Thanks to Tanya!
% 0.65/0.76  % SZS status Theorem for Vampire---4
% 0.65/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.76  % (1256)------------------------------
% 0.65/0.76  % (1256)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76  % (1256)Termination reason: Refutation
% 0.65/0.76  
% 0.65/0.76  % (1256)Memory used [KB]: 1329
% 0.65/0.76  % (1256)Time elapsed: 0.017 s
% 0.65/0.76  % (1256)Instructions burned: 53 (million)
% 0.65/0.76  % (1085)Success in time 0.388 s
% 0.65/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------