TSTP Solution File: ALG028+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG028+1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 : Mon May 20 18:17:01 EDT 2024

% Result   : Theorem 0.71s 0.90s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   77 (  47 unt;   0 def)
%            Number of atoms       :  580 ( 340 equ)
%            Maximal formula atoms :   72 (   7 avg)
%            Number of connectives :  758 ( 255   ~; 238   |; 249   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  16 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1094,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1063,f1069,f1074,f1075,f1079,f1080,f1081,f1084,f1085,f1086,f1087,f1089,f1090,f1091,f1092,f1093]) ).

fof(f1093,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f541,f1004]) ).

fof(f1004,plain,
    ( spl1_1
  <=> sQ0_eqProxy(op(e0,e1),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f541,plain,
    sQ0_eqProxy(op(e0,e1),op(e1,e0)),
    inference(equality_proxy_replacement,[],[f17,f505]) ).

fof(f505,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f17,plain,
    op(e0,e1) = op(e1,e0),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( ( op(e5,e5) != op(e5,e5)
      | op(e4,e5) != op(e5,e4)
      | op(e3,e5) != op(e5,e3)
      | op(e2,e5) != op(e5,e2)
      | op(e1,e5) != op(e5,e1)
      | op(e0,e5) != op(e5,e0)
      | op(e4,e5) != op(e5,e4)
      | op(e4,e4) != op(e4,e4)
      | op(e3,e4) != op(e4,e3)
      | op(e2,e4) != op(e4,e2)
      | op(e1,e4) != op(e4,e1)
      | op(e0,e4) != op(e4,e0)
      | op(e3,e5) != op(e5,e3)
      | op(e3,e4) != op(e4,e3)
      | op(e3,e3) != op(e3,e3)
      | op(e2,e3) != op(e3,e2)
      | op(e1,e3) != op(e3,e1)
      | op(e0,e3) != op(e3,e0)
      | op(e2,e5) != op(e5,e2)
      | op(e2,e4) != op(e4,e2)
      | op(e2,e3) != op(e3,e2)
      | op(e2,e2) != op(e2,e2)
      | op(e1,e2) != op(e2,e1)
      | op(e0,e2) != op(e2,e0)
      | op(e1,e5) != op(e5,e1)
      | op(e1,e4) != op(e4,e1)
      | op(e1,e3) != op(e3,e1)
      | op(e1,e2) != op(e2,e1)
      | op(e1,e1) != op(e1,e1)
      | op(e0,e1) != op(e1,e0)
      | op(e0,e5) != op(e5,e0)
      | op(e0,e4) != op(e4,e0)
      | op(e0,e3) != op(e3,e0)
      | op(e0,e2) != op(e2,e0)
      | op(e0,e1) != op(e1,e0)
      | op(e0,e0) != op(e0,e0) )
    & op(e5,e5) = op(e5,e5)
    & op(e4,e5) = op(e5,e4)
    & op(e3,e5) = op(e5,e3)
    & op(e2,e5) = op(e5,e2)
    & op(e1,e5) = op(e5,e1)
    & op(e0,e5) = op(e5,e0)
    & op(e4,e5) = op(e5,e4)
    & op(e4,e4) = op(e4,e4)
    & op(e3,e4) = op(e4,e3)
    & op(e2,e4) = op(e4,e2)
    & op(e1,e4) = op(e4,e1)
    & op(e0,e4) = op(e4,e0)
    & op(e3,e5) = op(e5,e3)
    & op(e3,e4) = op(e4,e3)
    & op(e3,e3) = op(e3,e3)
    & op(e2,e3) = op(e3,e2)
    & op(e1,e3) = op(e3,e1)
    & op(e0,e3) = op(e3,e0)
    & op(e2,e5) = op(e5,e2)
    & op(e2,e4) = op(e4,e2)
    & op(e2,e3) = op(e3,e2)
    & op(e2,e2) = op(e2,e2)
    & op(e1,e2) = op(e2,e1)
    & op(e0,e2) = op(e2,e0)
    & op(e1,e5) = op(e5,e1)
    & op(e1,e4) = op(e4,e1)
    & op(e1,e3) = op(e3,e1)
    & op(e1,e2) = op(e2,e1)
    & op(e1,e1) = op(e1,e1)
    & op(e0,e1) = op(e1,e0)
    & op(e0,e5) = op(e5,e0)
    & op(e0,e4) = op(e4,e0)
    & op(e0,e3) = op(e3,e0)
    & op(e0,e2) = op(e2,e0)
    & op(e0,e1) = op(e1,e0)
    & op(e0,e0) = op(e0,e0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ( ~ ( op(e5,e5) = op(e5,e5)
        & op(e4,e5) = op(e5,e4)
        & op(e3,e5) = op(e5,e3)
        & op(e2,e5) = op(e5,e2)
        & op(e1,e5) = op(e5,e1)
        & op(e0,e5) = op(e5,e0)
        & op(e4,e5) = op(e5,e4)
        & op(e4,e4) = op(e4,e4)
        & op(e3,e4) = op(e4,e3)
        & op(e2,e4) = op(e4,e2)
        & op(e1,e4) = op(e4,e1)
        & op(e0,e4) = op(e4,e0)
        & op(e3,e5) = op(e5,e3)
        & op(e3,e4) = op(e4,e3)
        & op(e3,e3) = op(e3,e3)
        & op(e2,e3) = op(e3,e2)
        & op(e1,e3) = op(e3,e1)
        & op(e0,e3) = op(e3,e0)
        & op(e2,e5) = op(e5,e2)
        & op(e2,e4) = op(e4,e2)
        & op(e2,e3) = op(e3,e2)
        & op(e2,e2) = op(e2,e2)
        & op(e1,e2) = op(e2,e1)
        & op(e0,e2) = op(e2,e0)
        & op(e1,e5) = op(e5,e1)
        & op(e1,e4) = op(e4,e1)
        & op(e1,e3) = op(e3,e1)
        & op(e1,e2) = op(e2,e1)
        & op(e1,e1) = op(e1,e1)
        & op(e0,e1) = op(e1,e0)
        & op(e0,e5) = op(e5,e0)
        & op(e0,e4) = op(e4,e0)
        & op(e0,e3) = op(e3,e0)
        & op(e0,e2) = op(e2,e0)
        & op(e0,e1) = op(e1,e0)
        & op(e0,e0) = op(e0,e0) )
    & op(e5,e5) = op(e5,e5)
    & op(e4,e5) = op(e5,e4)
    & op(e3,e5) = op(e5,e3)
    & op(e2,e5) = op(e5,e2)
    & op(e1,e5) = op(e5,e1)
    & op(e0,e5) = op(e5,e0)
    & op(e4,e5) = op(e5,e4)
    & op(e4,e4) = op(e4,e4)
    & op(e3,e4) = op(e4,e3)
    & op(e2,e4) = op(e4,e2)
    & op(e1,e4) = op(e4,e1)
    & op(e0,e4) = op(e4,e0)
    & op(e3,e5) = op(e5,e3)
    & op(e3,e4) = op(e4,e3)
    & op(e3,e3) = op(e3,e3)
    & op(e2,e3) = op(e3,e2)
    & op(e1,e3) = op(e3,e1)
    & op(e0,e3) = op(e3,e0)
    & op(e2,e5) = op(e5,e2)
    & op(e2,e4) = op(e4,e2)
    & op(e2,e3) = op(e3,e2)
    & op(e2,e2) = op(e2,e2)
    & op(e1,e2) = op(e2,e1)
    & op(e0,e2) = op(e2,e0)
    & op(e1,e5) = op(e5,e1)
    & op(e1,e4) = op(e4,e1)
    & op(e1,e3) = op(e3,e1)
    & op(e1,e2) = op(e2,e1)
    & op(e1,e1) = op(e1,e1)
    & op(e0,e1) = op(e1,e0)
    & op(e0,e5) = op(e5,e0)
    & op(e0,e4) = op(e4,e0)
    & op(e0,e3) = op(e3,e0)
    & op(e0,e2) = op(e2,e0)
    & op(e0,e1) = op(e1,e0)
    & op(e0,e0) = op(e0,e0) ),
    inference(flattening,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ~ ( ~ ( op(e5,e5) = op(e5,e5)
            & op(e4,e5) = op(e5,e4)
            & op(e3,e5) = op(e5,e3)
            & op(e2,e5) = op(e5,e2)
            & op(e1,e5) = op(e5,e1)
            & op(e0,e5) = op(e5,e0)
            & op(e4,e5) = op(e5,e4)
            & op(e4,e4) = op(e4,e4)
            & op(e3,e4) = op(e4,e3)
            & op(e2,e4) = op(e4,e2)
            & op(e1,e4) = op(e4,e1)
            & op(e0,e4) = op(e4,e0)
            & op(e3,e5) = op(e5,e3)
            & op(e3,e4) = op(e4,e3)
            & op(e3,e3) = op(e3,e3)
            & op(e2,e3) = op(e3,e2)
            & op(e1,e3) = op(e3,e1)
            & op(e0,e3) = op(e3,e0)
            & op(e2,e5) = op(e5,e2)
            & op(e2,e4) = op(e4,e2)
            & op(e2,e3) = op(e3,e2)
            & op(e2,e2) = op(e2,e2)
            & op(e1,e2) = op(e2,e1)
            & op(e0,e2) = op(e2,e0)
            & op(e1,e5) = op(e5,e1)
            & op(e1,e4) = op(e4,e1)
            & op(e1,e3) = op(e3,e1)
            & op(e1,e2) = op(e2,e1)
            & op(e1,e1) = op(e1,e1)
            & op(e0,e1) = op(e1,e0)
            & op(e0,e5) = op(e5,e0)
            & op(e0,e4) = op(e4,e0)
            & op(e0,e3) = op(e3,e0)
            & op(e0,e2) = op(e2,e0)
            & op(e0,e1) = op(e1,e0)
            & op(e0,e0) = op(e0,e0) )
        & op(e5,e5) = op(e5,e5)
        & op(e4,e5) = op(e5,e4)
        & op(e3,e5) = op(e5,e3)
        & op(e2,e5) = op(e5,e2)
        & op(e1,e5) = op(e5,e1)
        & op(e0,e5) = op(e5,e0)
        & op(e4,e5) = op(e5,e4)
        & op(e4,e4) = op(e4,e4)
        & op(e3,e4) = op(e4,e3)
        & op(e2,e4) = op(e4,e2)
        & op(e1,e4) = op(e4,e1)
        & op(e0,e4) = op(e4,e0)
        & op(e3,e5) = op(e5,e3)
        & op(e3,e4) = op(e4,e3)
        & op(e3,e3) = op(e3,e3)
        & op(e2,e3) = op(e3,e2)
        & op(e1,e3) = op(e3,e1)
        & op(e0,e3) = op(e3,e0)
        & op(e2,e5) = op(e5,e2)
        & op(e2,e4) = op(e4,e2)
        & op(e2,e3) = op(e3,e2)
        & op(e2,e2) = op(e2,e2)
        & op(e1,e2) = op(e2,e1)
        & op(e0,e2) = op(e2,e0)
        & op(e1,e5) = op(e5,e1)
        & op(e1,e4) = op(e4,e1)
        & op(e1,e3) = op(e3,e1)
        & op(e1,e2) = op(e2,e1)
        & op(e1,e1) = op(e1,e1)
        & op(e0,e1) = op(e1,e0)
        & op(e0,e5) = op(e5,e0)
        & op(e0,e4) = op(e4,e0)
        & op(e0,e3) = op(e3,e0)
        & op(e0,e2) = op(e2,e0)
        & op(e0,e1) = op(e1,e0)
        & op(e0,e0) = op(e0,e0) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ~ ( ~ ( op(e5,e5) = op(e5,e5)
          & op(e4,e5) = op(e5,e4)
          & op(e3,e5) = op(e5,e3)
          & op(e2,e5) = op(e5,e2)
          & op(e1,e5) = op(e5,e1)
          & op(e0,e5) = op(e5,e0)
          & op(e4,e5) = op(e5,e4)
          & op(e4,e4) = op(e4,e4)
          & op(e3,e4) = op(e4,e3)
          & op(e2,e4) = op(e4,e2)
          & op(e1,e4) = op(e4,e1)
          & op(e0,e4) = op(e4,e0)
          & op(e3,e5) = op(e5,e3)
          & op(e3,e4) = op(e4,e3)
          & op(e3,e3) = op(e3,e3)
          & op(e2,e3) = op(e3,e2)
          & op(e1,e3) = op(e3,e1)
          & op(e0,e3) = op(e3,e0)
          & op(e2,e5) = op(e5,e2)
          & op(e2,e4) = op(e4,e2)
          & op(e2,e3) = op(e3,e2)
          & op(e2,e2) = op(e2,e2)
          & op(e1,e2) = op(e2,e1)
          & op(e0,e2) = op(e2,e0)
          & op(e1,e5) = op(e5,e1)
          & op(e1,e4) = op(e4,e1)
          & op(e1,e3) = op(e3,e1)
          & op(e1,e2) = op(e2,e1)
          & op(e1,e1) = op(e1,e1)
          & op(e0,e1) = op(e1,e0)
          & op(e0,e5) = op(e5,e0)
          & op(e0,e4) = op(e4,e0)
          & op(e0,e3) = op(e3,e0)
          & op(e0,e2) = op(e2,e0)
          & op(e0,e1) = op(e1,e0)
          & op(e0,e0) = op(e0,e0) )
      & op(e5,e5) = op(e5,e5)
      & op(e4,e5) = op(e5,e4)
      & op(e3,e5) = op(e5,e3)
      & op(e2,e5) = op(e5,e2)
      & op(e1,e5) = op(e5,e1)
      & op(e0,e5) = op(e5,e0)
      & op(e4,e5) = op(e5,e4)
      & op(e4,e4) = op(e4,e4)
      & op(e3,e4) = op(e4,e3)
      & op(e2,e4) = op(e4,e2)
      & op(e1,e4) = op(e4,e1)
      & op(e0,e4) = op(e4,e0)
      & op(e3,e5) = op(e5,e3)
      & op(e3,e4) = op(e4,e3)
      & op(e3,e3) = op(e3,e3)
      & op(e2,e3) = op(e3,e2)
      & op(e1,e3) = op(e3,e1)
      & op(e0,e3) = op(e3,e0)
      & op(e2,e5) = op(e5,e2)
      & op(e2,e4) = op(e4,e2)
      & op(e2,e3) = op(e3,e2)
      & op(e2,e2) = op(e2,e2)
      & op(e1,e2) = op(e2,e1)
      & op(e0,e2) = op(e2,e0)
      & op(e1,e5) = op(e5,e1)
      & op(e1,e4) = op(e4,e1)
      & op(e1,e3) = op(e3,e1)
      & op(e1,e2) = op(e2,e1)
      & op(e1,e1) = op(e1,e1)
      & op(e0,e1) = op(e1,e0)
      & op(e0,e5) = op(e5,e0)
      & op(e0,e4) = op(e4,e0)
      & op(e0,e3) = op(e3,e0)
      & op(e0,e2) = op(e2,e0)
      & op(e0,e1) = op(e1,e0)
      & op(e0,e0) = op(e0,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1092,plain,
    spl1_2,
    inference(avatar_split_clause,[],[f540,f1008]) ).

fof(f1008,plain,
    ( spl1_2
  <=> sQ0_eqProxy(op(e0,e2),op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f540,plain,
    sQ0_eqProxy(op(e0,e2),op(e2,e0)),
    inference(equality_proxy_replacement,[],[f18,f505]) ).

fof(f18,plain,
    op(e0,e2) = op(e2,e0),
    inference(cnf_transformation,[],[f15]) ).

fof(f1091,plain,
    spl1_4,
    inference(avatar_split_clause,[],[f539,f1016]) ).

fof(f1016,plain,
    ( spl1_4
  <=> sQ0_eqProxy(op(e0,e3),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f539,plain,
    sQ0_eqProxy(op(e0,e3),op(e3,e0)),
    inference(equality_proxy_replacement,[],[f19,f505]) ).

fof(f19,plain,
    op(e0,e3) = op(e3,e0),
    inference(cnf_transformation,[],[f15]) ).

fof(f1090,plain,
    spl1_7,
    inference(avatar_split_clause,[],[f538,f1028]) ).

fof(f1028,plain,
    ( spl1_7
  <=> sQ0_eqProxy(op(e0,e4),op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

fof(f538,plain,
    sQ0_eqProxy(op(e0,e4),op(e4,e0)),
    inference(equality_proxy_replacement,[],[f20,f505]) ).

fof(f20,plain,
    op(e0,e4) = op(e4,e0),
    inference(cnf_transformation,[],[f15]) ).

fof(f1089,plain,
    spl1_11,
    inference(avatar_split_clause,[],[f537,f1044]) ).

fof(f1044,plain,
    ( spl1_11
  <=> sQ0_eqProxy(op(e0,e5),op(e5,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).

fof(f537,plain,
    sQ0_eqProxy(op(e0,e5),op(e5,e0)),
    inference(equality_proxy_replacement,[],[f21,f505]) ).

fof(f21,plain,
    op(e0,e5) = op(e5,e0),
    inference(cnf_transformation,[],[f15]) ).

fof(f1087,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f534,f1012]) ).

fof(f1012,plain,
    ( spl1_3
  <=> sQ0_eqProxy(op(e1,e2),op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f534,plain,
    sQ0_eqProxy(op(e1,e2),op(e2,e1)),
    inference(equality_proxy_replacement,[],[f24,f505]) ).

fof(f24,plain,
    op(e1,e2) = op(e2,e1),
    inference(cnf_transformation,[],[f15]) ).

fof(f1086,plain,
    spl1_5,
    inference(avatar_split_clause,[],[f533,f1020]) ).

fof(f1020,plain,
    ( spl1_5
  <=> sQ0_eqProxy(op(e1,e3),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f533,plain,
    sQ0_eqProxy(op(e1,e3),op(e3,e1)),
    inference(equality_proxy_replacement,[],[f25,f505]) ).

fof(f25,plain,
    op(e1,e3) = op(e3,e1),
    inference(cnf_transformation,[],[f15]) ).

fof(f1085,plain,
    spl1_8,
    inference(avatar_split_clause,[],[f532,f1032]) ).

fof(f1032,plain,
    ( spl1_8
  <=> sQ0_eqProxy(op(e1,e4),op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f532,plain,
    sQ0_eqProxy(op(e1,e4),op(e4,e1)),
    inference(equality_proxy_replacement,[],[f26,f505]) ).

fof(f26,plain,
    op(e1,e4) = op(e4,e1),
    inference(cnf_transformation,[],[f15]) ).

fof(f1084,plain,
    spl1_12,
    inference(avatar_split_clause,[],[f531,f1048]) ).

fof(f1048,plain,
    ( spl1_12
  <=> sQ0_eqProxy(op(e1,e5),op(e5,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).

fof(f531,plain,
    sQ0_eqProxy(op(e1,e5),op(e5,e1)),
    inference(equality_proxy_replacement,[],[f27,f505]) ).

fof(f27,plain,
    op(e1,e5) = op(e5,e1),
    inference(cnf_transformation,[],[f15]) ).

fof(f1081,plain,
    spl1_6,
    inference(avatar_split_clause,[],[f527,f1024]) ).

fof(f1024,plain,
    ( spl1_6
  <=> sQ0_eqProxy(op(e2,e3),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f527,plain,
    sQ0_eqProxy(op(e2,e3),op(e3,e2)),
    inference(equality_proxy_replacement,[],[f31,f505]) ).

fof(f31,plain,
    op(e2,e3) = op(e3,e2),
    inference(cnf_transformation,[],[f15]) ).

fof(f1080,plain,
    spl1_9,
    inference(avatar_split_clause,[],[f526,f1036]) ).

fof(f1036,plain,
    ( spl1_9
  <=> sQ0_eqProxy(op(e2,e4),op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f526,plain,
    sQ0_eqProxy(op(e2,e4),op(e4,e2)),
    inference(equality_proxy_replacement,[],[f32,f505]) ).

fof(f32,plain,
    op(e2,e4) = op(e4,e2),
    inference(cnf_transformation,[],[f15]) ).

fof(f1079,plain,
    spl1_13,
    inference(avatar_split_clause,[],[f525,f1052]) ).

fof(f1052,plain,
    ( spl1_13
  <=> sQ0_eqProxy(op(e2,e5),op(e5,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).

fof(f525,plain,
    sQ0_eqProxy(op(e2,e5),op(e5,e2)),
    inference(equality_proxy_replacement,[],[f33,f505]) ).

fof(f33,plain,
    op(e2,e5) = op(e5,e2),
    inference(cnf_transformation,[],[f15]) ).

fof(f1075,plain,
    spl1_10,
    inference(avatar_split_clause,[],[f520,f1040]) ).

fof(f1040,plain,
    ( spl1_10
  <=> sQ0_eqProxy(op(e3,e4),op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f520,plain,
    sQ0_eqProxy(op(e3,e4),op(e4,e3)),
    inference(equality_proxy_replacement,[],[f38,f505]) ).

fof(f38,plain,
    op(e3,e4) = op(e4,e3),
    inference(cnf_transformation,[],[f15]) ).

fof(f1074,plain,
    spl1_14,
    inference(avatar_split_clause,[],[f519,f1056]) ).

fof(f1056,plain,
    ( spl1_14
  <=> sQ0_eqProxy(op(e3,e5),op(e5,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).

fof(f519,plain,
    sQ0_eqProxy(op(e3,e5),op(e5,e3)),
    inference(equality_proxy_replacement,[],[f39,f505]) ).

fof(f39,plain,
    op(e3,e5) = op(e5,e3),
    inference(cnf_transformation,[],[f15]) ).

fof(f1069,plain,
    spl1_15,
    inference(avatar_split_clause,[],[f513,f1060]) ).

fof(f1060,plain,
    ( spl1_15
  <=> sQ0_eqProxy(op(e4,e5),op(e5,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).

fof(f513,plain,
    sQ0_eqProxy(op(e4,e5),op(e5,e4)),
    inference(equality_proxy_replacement,[],[f45,f505]) ).

fof(f45,plain,
    op(e4,e5) = op(e5,e4),
    inference(cnf_transformation,[],[f15]) ).

fof(f1063,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_10
    | ~ spl1_11
    | ~ spl1_12
    | ~ spl1_13
    | ~ spl1_14
    | ~ spl1_15 ),
    inference(avatar_split_clause,[],[f1002,f1060,f1056,f1052,f1048,f1044,f1040,f1036,f1032,f1028,f1024,f1020,f1016,f1012,f1008,f1004]) ).

fof(f1002,plain,
    ( ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0)) ),
    inference(subsumption_resolution,[],[f1001,f995]) ).

fof(f995,plain,
    ! [X0] : sQ0_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f505]) ).

fof(f1001,plain,
    ( ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | ~ sQ0_eqProxy(op(e0,e0),op(e0,e0)) ),
    inference(subsumption_resolution,[],[f1000,f995]) ).

fof(f1000,plain,
    ( ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e1,e1),op(e1,e1))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | ~ sQ0_eqProxy(op(e0,e0),op(e0,e0)) ),
    inference(subsumption_resolution,[],[f999,f995]) ).

fof(f999,plain,
    ( ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e2,e2),op(e2,e2))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e1,e1),op(e1,e1))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | ~ sQ0_eqProxy(op(e0,e0),op(e0,e0)) ),
    inference(subsumption_resolution,[],[f998,f995]) ).

fof(f998,plain,
    ( ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e3,e3),op(e3,e3))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e2,e2),op(e2,e2))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e1,e1),op(e1,e1))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | ~ sQ0_eqProxy(op(e0,e0),op(e0,e0)) ),
    inference(subsumption_resolution,[],[f997,f995]) ).

fof(f997,plain,
    ( ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e4,e4),op(e4,e4))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e3,e3),op(e3,e3))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e2,e2),op(e2,e2))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e1,e1),op(e1,e1))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | ~ sQ0_eqProxy(op(e0,e0),op(e0,e0)) ),
    inference(subsumption_resolution,[],[f996,f995]) ).

fof(f996,plain,
    ( ~ sQ0_eqProxy(op(e5,e5),op(e5,e5))
    | ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e4,e4),op(e4,e4))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e3,e3),op(e3,e3))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e2,e2),op(e2,e2))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e1,e1),op(e1,e1))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | ~ sQ0_eqProxy(op(e0,e0),op(e0,e0)) ),
    inference(duplicate_literal_removal,[],[f506]) ).

fof(f506,plain,
    ( ~ sQ0_eqProxy(op(e5,e5),op(e5,e5))
    | ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e4,e4),op(e4,e4))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e3,e3),op(e3,e3))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e2,e2),op(e2,e2))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e1,e1),op(e1,e1))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | ~ sQ0_eqProxy(op(e0,e0),op(e0,e0)) ),
    inference(equality_proxy_replacement,[],[f52,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505,f505]) ).

fof(f52,plain,
    ( op(e5,e5) != op(e5,e5)
    | op(e4,e5) != op(e5,e4)
    | op(e3,e5) != op(e5,e3)
    | op(e2,e5) != op(e5,e2)
    | op(e1,e5) != op(e5,e1)
    | op(e0,e5) != op(e5,e0)
    | op(e4,e5) != op(e5,e4)
    | op(e4,e4) != op(e4,e4)
    | op(e3,e4) != op(e4,e3)
    | op(e2,e4) != op(e4,e2)
    | op(e1,e4) != op(e4,e1)
    | op(e0,e4) != op(e4,e0)
    | op(e3,e5) != op(e5,e3)
    | op(e3,e4) != op(e4,e3)
    | op(e3,e3) != op(e3,e3)
    | op(e2,e3) != op(e3,e2)
    | op(e1,e3) != op(e3,e1)
    | op(e0,e3) != op(e3,e0)
    | op(e2,e5) != op(e5,e2)
    | op(e2,e4) != op(e4,e2)
    | op(e2,e3) != op(e3,e2)
    | op(e2,e2) != op(e2,e2)
    | op(e1,e2) != op(e2,e1)
    | op(e0,e2) != op(e2,e0)
    | op(e1,e5) != op(e5,e1)
    | op(e1,e4) != op(e4,e1)
    | op(e1,e3) != op(e3,e1)
    | op(e1,e2) != op(e2,e1)
    | op(e1,e1) != op(e1,e1)
    | op(e0,e1) != op(e1,e0)
    | op(e0,e5) != op(e5,e0)
    | op(e0,e4) != op(e4,e0)
    | op(e0,e3) != op(e3,e0)
    | op(e0,e2) != op(e2,e0)
    | op(e0,e1) != op(e1,e0)
    | op(e0,e0) != op(e0,e0) ),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : ALG028+1 : TPTP v8.2.0. Released v2.7.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sat May 18 22:58:22 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_PEQ problem
% 0.11/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.89  % (15608)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.71/0.89  % (15606)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 theBenchmark for (2994ds/34Mi)
% 0.71/0.89  % (15607)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 theBenchmark for (2994ds/51Mi)
% 0.71/0.89  % (15609)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.71/0.89  % (15610)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 theBenchmark for (2994ds/34Mi)
% 0.71/0.89  % (15611)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.71/0.89  % (15612)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 theBenchmark for (2994ds/83Mi)
% 0.71/0.89  % (15613)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.71/0.90  % (15613)First to succeed.
% 0.71/0.90  % (15610)Also succeeded, but the first one will report.
% 0.71/0.90  % (15606)Also succeeded, but the first one will report.
% 0.71/0.90  % (15613)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15605"
% 0.71/0.90  % (15612)Also succeeded, but the first one will report.
% 0.71/0.90  % (15613)Refutation found. Thanks to Tanya!
% 0.71/0.90  % SZS status Theorem for theBenchmark
% 0.71/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.90  % (15613)------------------------------
% 0.71/0.90  % (15613)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.90  % (15613)Termination reason: Refutation
% 0.71/0.90  
% 0.71/0.90  % (15613)Memory used [KB]: 1436
% 0.71/0.90  % (15613)Time elapsed: 0.014 s
% 0.71/0.90  % (15613)Instructions burned: 31 (million)
% 0.71/0.90  % (15605)Success in time 0.563 s
% 0.71/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------