TSTP Solution File: ALG054+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG054+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 : n013.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 18:17:44 EDT 2024

% Result   : Theorem 0.81s 0.94s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  103 (  25 unt;   0 def)
%            Number of atoms       :  537 ( 435 equ)
%            Maximal formula atoms :  100 (   5 avg)
%            Number of connectives :  694 ( 260   ~; 207   |; 208   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  20 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1513,plain,
    $false,
    inference(avatar_sat_refutation,[],[f293,f356,f374,f410,f434,f445,f447,f459,f833,f876,f973,f1034,f1135,f1139,f1177,f1253,f1388,f1465,f1498,f1512]) ).

fof(f1512,plain,
    ( ~ spl0_3
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1511]) ).

fof(f1511,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1510,f52]) ).

fof(f52,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f1510,plain,
    ( e2 = e4
    | ~ spl0_3
    | ~ spl0_121 ),
    inference(forward_demodulation,[],[f1492,f251]) ).

fof(f251,plain,
    ( e2 = op(e4,e4)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl0_3
  <=> e2 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1492,plain,
    ( e4 = op(e4,e4)
    | ~ spl0_121 ),
    inference(backward_demodulation,[],[f213,f832]) ).

fof(f832,plain,
    ( e4 = unit
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f830,plain,
    ( spl0_121
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f213,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e4 = unit
      | e3 = unit
      | e2 = unit
      | e1 = unit
      | e0 = unit )
    & e4 = op(e4,unit)
    & e4 = op(unit,e4)
    & e3 = op(e3,unit)
    & e3 = op(unit,e3)
    & e2 = op(e2,unit)
    & e2 = op(unit,e2)
    & e1 = op(e1,unit)
    & e1 = op(unit,e1)
    & e0 = op(e0,unit)
    & e0 = op(unit,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f1498,plain,
    ( spl0_62
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1497]) ).

fof(f1497,plain,
    ( $false
    | spl0_62
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1487,f531]) ).

fof(f531,plain,
    ( e2 != op(e4,e2)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl0_62
  <=> e2 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1487,plain,
    ( e2 = op(e4,e2)
    | ~ spl0_121 ),
    inference(backward_demodulation,[],[f208,f832]) ).

fof(f208,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1465,plain,
    ( spl0_28
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1464]) ).

fof(f1464,plain,
    ( $false
    | spl0_28
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1452,f363]) ).

fof(f363,plain,
    ( e1 != op(e1,e3)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f362,plain,
    ( spl0_28
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1452,plain,
    ( e1 = op(e1,e3)
    | ~ spl0_120 ),
    inference(backward_demodulation,[],[f207,f828]) ).

fof(f828,plain,
    ( e3 = unit
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f826,plain,
    ( spl0_120
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f207,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f1388,plain,
    ~ spl0_119,
    inference(avatar_contradiction_clause,[],[f1387]) ).

fof(f1387,plain,
    ( $false
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1386,f44]) ).

fof(f44,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f1386,plain,
    ( e0 = e1
    | ~ spl0_119 ),
    inference(forward_demodulation,[],[f1374,f448]) ).

fof(f448,plain,
    e0 = op(e1,e2),
    inference(forward_demodulation,[],[f40,f41]) ).

fof(f41,plain,
    e2 = op(op(e1,e1),op(e1,e1)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( e4 = op(e1,e1)
    & e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
    & e2 = op(op(e1,e1),op(e1,e1))
    & e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f40,plain,
    e0 = op(e1,op(op(e1,e1),op(e1,e1))),
    inference(cnf_transformation,[],[f6]) ).

fof(f1374,plain,
    ( e1 = op(e1,e2)
    | ~ spl0_119 ),
    inference(backward_demodulation,[],[f207,f824]) ).

fof(f824,plain,
    ( e2 = unit
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f822,plain,
    ( spl0_119
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1253,plain,
    ~ spl0_118,
    inference(avatar_contradiction_clause,[],[f1252]) ).

fof(f1252,plain,
    ( $false
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1251,f45]) ).

fof(f45,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f1251,plain,
    ( e0 = e2
    | ~ spl0_118 ),
    inference(forward_demodulation,[],[f1241,f448]) ).

fof(f1241,plain,
    ( e2 = op(e1,e2)
    | ~ spl0_118 ),
    inference(backward_demodulation,[],[f208,f820]) ).

fof(f820,plain,
    ( e1 = unit
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f818,plain,
    ( spl0_118
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1177,plain,
    ( ~ spl0_12
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1176,f322,f290]) ).

fof(f290,plain,
    ( spl0_12
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f322,plain,
    ( spl0_19
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1176,plain,
    ( e3 != op(e3,e2)
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f81,f323]) ).

fof(f323,plain,
    ( e3 = op(e2,e2)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f81,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( op(e4,e3) != op(e4,e4)
    & op(e4,e2) != op(e4,e4)
    & op(e4,e2) != op(e4,e3)
    & op(e4,e1) != op(e4,e4)
    & op(e4,e1) != op(e4,e3)
    & op(e4,e1) != op(e4,e2)
    & op(e4,e0) != op(e4,e4)
    & op(e4,e0) != op(e4,e3)
    & op(e4,e0) != op(e4,e2)
    & op(e4,e0) != op(e4,e1)
    & op(e3,e3) != op(e3,e4)
    & op(e3,e2) != op(e3,e4)
    & op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e4)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e4)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e3) != op(e2,e4)
    & op(e2,e2) != op(e2,e4)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e4)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e4)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e3) != op(e1,e4)
    & op(e1,e2) != op(e1,e4)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e4)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e3) != op(e0,e4)
    & op(e0,e2) != op(e0,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e4)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e4)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e3,e4) != op(e4,e4)
    & op(e2,e4) != op(e4,e4)
    & op(e2,e4) != op(e3,e4)
    & op(e1,e4) != op(e4,e4)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e4) != op(e2,e4)
    & op(e0,e4) != op(e4,e4)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e4) != op(e2,e4)
    & op(e0,e4) != op(e1,e4)
    & op(e3,e3) != op(e4,e3)
    & op(e2,e3) != op(e4,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e4,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e4,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e3,e2) != op(e4,e2)
    & op(e2,e2) != op(e4,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e4,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e4,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e3,e1) != op(e4,e1)
    & op(e2,e1) != op(e4,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e4,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e4,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e3,e0) != op(e4,e0)
    & op(e2,e0) != op(e4,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e4,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e4,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f1139,plain,
    ( ~ spl0_32
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1138,f353,f380]) ).

fof(f380,plain,
    ( spl0_32
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f353,plain,
    ( spl0_26
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1138,plain,
    ( e1 != op(e1,e0)
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f117,f355]) ).

fof(f355,plain,
    ( e1 = op(e1,e4)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f117,plain,
    op(e1,e0) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1135,plain,
    ( ~ spl0_28
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1134,f353,f362]) ).

fof(f1134,plain,
    ( e1 != op(e1,e3)
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f123,f355]) ).

fof(f123,plain,
    op(e1,e3) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1034,plain,
    ~ spl0_30,
    inference(avatar_contradiction_clause,[],[f1033]) ).

fof(f1033,plain,
    ( $false
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f1032,f44]) ).

fof(f1032,plain,
    ( e0 = e1
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f373,f448]) ).

fof(f373,plain,
    ( e1 = op(e1,e2)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f371,plain,
    ( spl0_30
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f973,plain,
    ( ~ spl0_62
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f968,f431,f530]) ).

fof(f431,plain,
    ( spl0_43
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f968,plain,
    ( e2 != op(e4,e2)
    | ~ spl0_43 ),
    inference(backward_demodulation,[],[f82,f433]) ).

fof(f433,plain,
    ( e2 = op(e2,e2)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f82,plain,
    op(e2,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f876,plain,
    ( spl0_32
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f866,f814,f380]) ).

fof(f814,plain,
    ( spl0_117
  <=> e0 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f866,plain,
    ( e1 = op(e1,e0)
    | ~ spl0_117 ),
    inference(backward_demodulation,[],[f207,f816]) ).

fof(f816,plain,
    ( e0 = unit
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f833,plain,
    ( spl0_117
    | spl0_118
    | spl0_119
    | spl0_120
    | spl0_121 ),
    inference(avatar_split_clause,[],[f214,f830,f826,f822,f818,f814]) ).

fof(f214,plain,
    ( e4 = unit
    | e3 = unit
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f459,plain,
    ~ spl0_38,
    inference(avatar_split_clause,[],[f458,f407]) ).

fof(f407,plain,
    ( spl0_38
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f458,plain,
    e0 != op(e0,e2),
    inference(forward_demodulation,[],[f74,f448]) ).

fof(f74,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f447,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f446,f322]) ).

fof(f446,plain,
    e3 = op(e2,e2),
    inference(backward_demodulation,[],[f42,f41]) ).

fof(f42,plain,
    e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f43,f349]) ).

fof(f349,plain,
    ( spl0_25
  <=> e4 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f43,plain,
    e4 = op(e1,e1),
    inference(cnf_transformation,[],[f6]) ).

fof(f434,plain,
    ( spl0_37
    | spl0_29
    | spl0_43
    | spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f12,f250,f286,f431,f367,f403]) ).

fof(f403,plain,
    ( spl0_37
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f367,plain,
    ( spl0_29
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f286,plain,
    ( spl0_11
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f12,plain,
    ( e2 = op(e4,e4)
    | e2 = op(e3,e3)
    | e2 = op(e2,e2)
    | e2 = op(e1,e1)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ( e4 = op(e4,e4)
      | e4 != op(e4,e4) )
    & ( e4 = op(e4,e3)
      | e3 != op(e4,e4) )
    & ( e4 = op(e4,e2)
      | e2 != op(e4,e4) )
    & ( e4 = op(e4,e1)
      | e1 != op(e4,e4) )
    & ( e4 = op(e4,e0)
      | e0 != op(e4,e4) )
    & ( e3 = op(e3,e4)
      | e4 != op(e3,e3) )
    & ( e3 = op(e3,e3)
      | e3 != op(e3,e3) )
    & ( e3 = op(e3,e2)
      | e2 != op(e3,e3) )
    & ( e3 = op(e3,e1)
      | e1 != op(e3,e3) )
    & ( e3 = op(e3,e0)
      | e0 != op(e3,e3) )
    & ( e2 = op(e2,e4)
      | e4 != op(e2,e2) )
    & ( e2 = op(e2,e3)
      | e3 != op(e2,e2) )
    & ( e2 = op(e2,e2)
      | e2 != op(e2,e2) )
    & ( e2 = op(e2,e1)
      | e1 != op(e2,e2) )
    & ( e2 = op(e2,e0)
      | e0 != op(e2,e2) )
    & ( e1 = op(e1,e4)
      | e4 != op(e1,e1) )
    & ( e1 = op(e1,e3)
      | e3 != op(e1,e1) )
    & ( e1 = op(e1,e2)
      | e2 != op(e1,e1) )
    & ( e1 = op(e1,e1)
      | e1 != op(e1,e1) )
    & ( e1 = op(e1,e0)
      | e0 != op(e1,e1) )
    & ( e0 = op(e0,e4)
      | op(e0,e0) != e4 )
    & ( e0 = op(e0,e3)
      | op(e0,e0) != e3 )
    & ( e0 = op(e0,e2)
      | op(e0,e0) != e2 )
    & ( e0 = op(e0,e1)
      | op(e0,e0) != e1 )
    & ( e0 = op(e0,e0)
      | e0 != op(e0,e0) )
    & ( e4 = op(e4,e4)
      | e4 = op(e3,e3)
      | e4 = op(e2,e2)
      | e4 = op(e1,e1)
      | op(e0,e0) = e4 )
    & ( e3 = op(e4,e4)
      | e3 = op(e3,e3)
      | e3 = op(e2,e2)
      | e3 = op(e1,e1)
      | op(e0,e0) = e3 )
    & ( e2 = op(e4,e4)
      | e2 = op(e3,e3)
      | e2 = op(e2,e2)
      | e2 = op(e1,e1)
      | op(e0,e0) = e2 )
    & ( e1 = op(e4,e4)
      | e1 = op(e3,e3)
      | e1 = op(e2,e2)
      | e1 = op(e1,e1)
      | op(e0,e0) = e1 )
    & ( e0 = op(e4,e4)
      | e0 = op(e3,e3)
      | e0 = op(e2,e2)
      | e0 = op(e1,e1)
      | e0 = op(e0,e0) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( ( e4 = op(e4,e4)
          | e4 != op(e4,e4) )
        & ( e4 = op(e4,e3)
          | e3 != op(e4,e4) )
        & ( e4 = op(e4,e2)
          | e2 != op(e4,e4) )
        & ( e4 = op(e4,e1)
          | e1 != op(e4,e4) )
        & ( e4 = op(e4,e0)
          | e0 != op(e4,e4) )
        & ( e3 = op(e3,e4)
          | e4 != op(e3,e3) )
        & ( e3 = op(e3,e3)
          | e3 != op(e3,e3) )
        & ( e3 = op(e3,e2)
          | e2 != op(e3,e3) )
        & ( e3 = op(e3,e1)
          | e1 != op(e3,e3) )
        & ( e3 = op(e3,e0)
          | e0 != op(e3,e3) )
        & ( e2 = op(e2,e4)
          | e4 != op(e2,e2) )
        & ( e2 = op(e2,e3)
          | e3 != op(e2,e2) )
        & ( e2 = op(e2,e2)
          | e2 != op(e2,e2) )
        & ( e2 = op(e2,e1)
          | e1 != op(e2,e2) )
        & ( e2 = op(e2,e0)
          | e0 != op(e2,e2) )
        & ( e1 = op(e1,e4)
          | e4 != op(e1,e1) )
        & ( e1 = op(e1,e3)
          | e3 != op(e1,e1) )
        & ( e1 = op(e1,e2)
          | e2 != op(e1,e1) )
        & ( e1 = op(e1,e1)
          | e1 != op(e1,e1) )
        & ( e1 = op(e1,e0)
          | e0 != op(e1,e1) )
        & ( e0 = op(e0,e4)
          | op(e0,e0) != e4 )
        & ( e0 = op(e0,e3)
          | op(e0,e0) != e3 )
        & ( e0 = op(e0,e2)
          | op(e0,e0) != e2 )
        & ( e0 = op(e0,e1)
          | op(e0,e0) != e1 )
        & ( e0 = op(e0,e0)
          | e0 != op(e0,e0) )
        & ( e4 = op(e4,e4)
          | e4 = op(e3,e3)
          | e4 = op(e2,e2)
          | e4 = op(e1,e1)
          | op(e0,e0) = e4 )
        & ( e3 = op(e4,e4)
          | e3 = op(e3,e3)
          | e3 = op(e2,e2)
          | e3 = op(e1,e1)
          | op(e0,e0) = e3 )
        & ( e2 = op(e4,e4)
          | e2 = op(e3,e3)
          | e2 = op(e2,e2)
          | e2 = op(e1,e1)
          | op(e0,e0) = e2 )
        & ( e1 = op(e4,e4)
          | e1 = op(e3,e3)
          | e1 = op(e2,e2)
          | e1 = op(e1,e1)
          | op(e0,e0) = e1 )
        & ( e0 = op(e4,e4)
          | e0 = op(e3,e3)
          | e0 = op(e2,e2)
          | e0 = op(e1,e1)
          | e0 = op(e0,e0) ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( ( e4 = op(e4,e4)
        | e4 != op(e4,e4) )
      & ( e4 = op(e4,e3)
        | e3 != op(e4,e4) )
      & ( e4 = op(e4,e2)
        | e2 != op(e4,e4) )
      & ( e4 = op(e4,e1)
        | e1 != op(e4,e4) )
      & ( e4 = op(e4,e0)
        | e0 != op(e4,e4) )
      & ( e3 = op(e3,e4)
        | e4 != op(e3,e3) )
      & ( e3 = op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e3 = op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e3 = op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e3 = op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 = op(e2,e4)
        | e4 != op(e2,e2) )
      & ( e2 = op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e2 = op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e2 = op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e2 = op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 = op(e1,e4)
        | e4 != op(e1,e1) )
      & ( e1 = op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e1 = op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e1 = op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e1 = op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 = op(e0,e4)
        | op(e0,e0) != e4 )
      & ( e0 = op(e0,e3)
        | op(e0,e0) != e3 )
      & ( e0 = op(e0,e2)
        | op(e0,e0) != e2 )
      & ( e0 = op(e0,e1)
        | op(e0,e0) != e1 )
      & ( e0 = op(e0,e0)
        | e0 != op(e0,e0) )
      & ( e4 = op(e4,e4)
        | e4 = op(e3,e3)
        | e4 = op(e2,e2)
        | e4 = op(e1,e1)
        | op(e0,e0) = e4 )
      & ( e3 = op(e4,e4)
        | e3 = op(e3,e3)
        | e3 = op(e2,e2)
        | e3 = op(e1,e1)
        | op(e0,e0) = e3 )
      & ( e2 = op(e4,e4)
        | e2 = op(e3,e3)
        | e2 = op(e2,e2)
        | e2 = op(e1,e1)
        | op(e0,e0) = e2 )
      & ( e1 = op(e4,e4)
        | e1 = op(e3,e3)
        | e1 = op(e2,e2)
        | e1 = op(e1,e1)
        | op(e0,e0) = e1 )
      & ( e0 = op(e4,e4)
        | e0 = op(e3,e3)
        | e0 = op(e2,e2)
        | e0 = op(e1,e1)
        | e0 = op(e0,e0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f410,plain,
    ( ~ spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f17,f407,f403]) ).

fof(f17,plain,
    ( e0 = op(e0,e2)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f374,plain,
    ( ~ spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f22,f371,f367]) ).

fof(f22,plain,
    ( e1 = op(e1,e2)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f356,plain,
    ( ~ spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f24,f353,f349]) ).

fof(f24,plain,
    ( e1 = op(e1,e4)
    | e4 != op(e1,e1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f293,plain,
    ( ~ spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f32,f290,f286]) ).

fof(f32,plain,
    ( e3 = op(e3,e2)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ALG054+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 23:45:38 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a FOF_THM_RFO_PEQ problem
% 0.14/0.37  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
% 0.68/0.92  % (3303)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)
% 0.68/0.92  % (3305)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.68/0.92  % (3304)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)
% 0.68/0.92  % (3306)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)
% 0.68/0.92  % (3307)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)
% 0.68/0.92  % (3308)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)
% 0.68/0.92  % (3309)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)
% 0.68/0.92  % (3310)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)
% 0.68/0.93  % (3310)Refutation not found, incomplete strategy% (3310)------------------------------
% 0.68/0.93  % (3310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.93  % (3310)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.93  
% 0.68/0.93  % (3310)Memory used [KB]: 1216
% 0.68/0.93  % (3310)Time elapsed: 0.008 s
% 0.68/0.93  % (3310)Instructions burned: 16 (million)
% 0.68/0.93  % (3310)------------------------------
% 0.68/0.93  % (3310)------------------------------
% 0.68/0.93  % (3307)Refutation not found, incomplete strategy% (3307)------------------------------
% 0.68/0.93  % (3307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.93  % (3307)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.93  
% 0.68/0.93  % (3307)Memory used [KB]: 1240
% 0.68/0.93  % (3307)Time elapsed: 0.010 s
% 0.68/0.93  % (3307)Instructions burned: 18 (million)
% 0.68/0.93  % (3307)------------------------------
% 0.68/0.93  % (3307)------------------------------
% 0.68/0.93  % (3303)Refutation not found, incomplete strategy% (3303)------------------------------
% 0.68/0.93  % (3303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.93  % (3303)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.93  
% 0.68/0.93  % (3303)Memory used [KB]: 1295
% 0.68/0.93  % (3303)Time elapsed: 0.012 s
% 0.68/0.93  % (3303)Instructions burned: 23 (million)
% 0.68/0.93  % (3303)------------------------------
% 0.68/0.93  % (3303)------------------------------
% 0.68/0.93  % (3311)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 theBenchmark for (2994ds/55Mi)
% 0.68/0.93  % (3312)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 theBenchmark for (2994ds/50Mi)
% 0.68/0.94  % (3313)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.68/0.94  % (3308)Refutation not found, incomplete strategy% (3308)------------------------------
% 0.68/0.94  % (3308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.94  % (3308)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.94  
% 0.68/0.94  % (3308)Memory used [KB]: 1221
% 0.68/0.94  % (3308)Time elapsed: 0.016 s
% 0.68/0.94  % (3308)Instructions burned: 32 (million)
% 0.68/0.94  % (3308)------------------------------
% 0.68/0.94  % (3308)------------------------------
% 0.68/0.94  % (3306)Instruction limit reached!
% 0.68/0.94  % (3306)------------------------------
% 0.68/0.94  % (3306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.94  % (3306)Termination reason: Unknown
% 0.68/0.94  % (3306)Termination phase: Saturation
% 0.68/0.94  
% 0.68/0.94  % (3306)Memory used [KB]: 1483
% 0.68/0.94  % (3306)Time elapsed: 0.017 s
% 0.68/0.94  % (3306)Instructions burned: 34 (million)
% 0.68/0.94  % (3306)------------------------------
% 0.68/0.94  % (3306)------------------------------
% 0.81/0.94  % (3314)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 theBenchmark for (2994ds/52Mi)
% 0.81/0.94  % (3315)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 theBenchmark for (2994ds/518Mi)
% 0.81/0.94  % (3305)First to succeed.
% 0.81/0.94  % (3312)Refutation not found, incomplete strategy% (3312)------------------------------
% 0.81/0.94  % (3312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.94  % (3312)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.94  
% 0.81/0.94  % (3312)Memory used [KB]: 1302
% 0.81/0.94  % (3312)Time elapsed: 0.010 s
% 0.81/0.94  % (3312)Instructions burned: 20 (million)
% 0.81/0.94  % (3312)------------------------------
% 0.81/0.94  % (3312)------------------------------
% 0.81/0.94  % (3305)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3302"
% 0.81/0.94  % (3305)Refutation found. Thanks to Tanya!
% 0.81/0.94  % SZS status Theorem for theBenchmark
% 0.81/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 0.81/0.94  % (3305)------------------------------
% 0.81/0.94  % (3305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.94  % (3305)Termination reason: Refutation
% 0.81/0.94  
% 0.81/0.94  % (3305)Memory used [KB]: 1433
% 0.81/0.94  % (3305)Time elapsed: 0.023 s
% 0.81/0.94  % (3305)Instructions burned: 46 (million)
% 0.81/0.94  % (3302)Success in time 0.566 s
% 0.81/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------