TSTP Solution File: SYO499_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO499_8 : TPTP v8.2.0. Released v8.0.0.
% 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 : n032.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 : Tue May 21 09:05:28 EDT 2024

% Result   : Theorem 0.61s 0.79s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  139 (   1 unt;  12 typ;   0 def)
%            Number of atoms       :  483 (  67 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  425 ( 201   ~; 192   |;   5   &)
%                                         (  27 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :  208 ( 132 fml;  76 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   39 (  36 usr;  32 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   0 con; 1-1 aty)
%            Number of variables   :   38 (  38   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    f: $o > $i ).

tff(func_def_1,type,
    f1: $o > $i ).

tff(func_def_2,type,
    f2: $o > $i ).

tff(func_def_3,type,
    g: $o > $i ).

tff(func_def_4,type,
    g1: $o > $i ).

tff(func_def_5,type,
    g2: $o > $i ).

tff(pred_def_4,type,
    sP0: $o > $o ).

tff(pred_def_5,type,
    sP1: $o > $o ).

tff(pred_def_6,type,
    sP2: $o > $o ).

tff(pred_def_7,type,
    sP3: $o > $o ).

tff(pred_def_8,type,
    sP4: $o > $o ).

tff(pred_def_9,type,
    sP5: $o > $o ).

tff(f308,plain,
    $false,
    inference(avatar_sat_refutation,[],[f36,f41,f49,f53,f58,f63,f67,f71,f76,f81,f89,f93,f98,f103,f107,f111,f116,f121,f125,f129,f134,f139,f143,f147,f168,f199,f218,f257,f258,f307]) ).

tff(f307,plain,
    ( ~ spl6_3
    | ~ spl6_6
    | ~ spl6_8
    | ~ spl6_10 ),
    inference(avatar_contradiction_clause,[],[f306]) ).

tff(f306,plain,
    ( $false
    | ~ spl6_3
    | ~ spl6_6
    | ~ spl6_8
    | ~ spl6_10 ),
    inference(trivial_inequality_removal,[],[f300]) ).

tff(f300,plain,
    ( ( f($false) != f($false) )
    | ~ spl6_3
    | ~ spl6_6
    | ~ spl6_8
    | ~ spl6_10 ),
    inference(unit_resulting_resolution,[],[f40,f286]) ).

tff(f286,plain,
    ( ! [X1: $o] :
        ( ~ sP0((X1))
        | ( f((X1)) != f($false) ) )
    | ~ spl6_6
    | ~ spl6_8
    | ~ spl6_10 ),
    inference(forward_demodulation,[],[f52,f221]) ).

tff(f221,plain,
    ( ( g($false) = f($false) )
    | ~ spl6_8
    | ~ spl6_10 ),
    inference(unit_resulting_resolution,[],[f62,f70]) ).

tff(f70,plain,
    ( ! [X3: $o] :
        ( ~ sP1((X3))
        | ( g($false) = f((X3)) ) )
    | ~ spl6_10 ),
    inference(avatar_component_clause,[],[f69]) ).

tff(f69,plain,
    ( spl6_10
  <=> ! [X3: $o] :
        ( ~ sP1((X3))
        | ( g($false) = f((X3)) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

tff(f62,plain,
    ( sP1($false)
    | ~ spl6_8 ),
    inference(avatar_component_clause,[],[f60]) ).

tff(f60,plain,
    ( spl6_8
  <=> sP1($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

tff(f52,plain,
    ( ! [X1: $o] :
        ( ~ sP0((X1))
        | ( f((X1)) != g($false) ) )
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f51]) ).

tff(f51,plain,
    ( spl6_6
  <=> ! [X1: $o] :
        ( ~ sP0((X1))
        | ( f((X1)) != g($false) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

tff(f40,plain,
    ( sP0($false)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f38]) ).

tff(f38,plain,
    ( spl6_3
  <=> sP0($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

tff(f258,plain,
    ( ~ spl6_16
    | ~ spl6_11
    | ~ spl6_13
    | ~ spl6_18 ),
    inference(avatar_split_clause,[],[f227,f105,f83,f73,f95]) ).

tff(f95,plain,
    ( spl6_16
  <=> sP3($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).

tff(f73,plain,
    ( spl6_11
  <=> sP2($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).

tff(f83,plain,
    ( spl6_13
  <=> ! [X5: $o] :
        ( ~ sP2((X5))
        | ( f1((X5)) != g1($true) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).

tff(f105,plain,
    ( spl6_18
  <=> ! [X7: $o] :
        ( ~ sP3((X7))
        | ( g1($true) = f1((X7)) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).

tff(f227,plain,
    ( ~ sP3($true)
    | ~ spl6_11
    | ~ spl6_13
    | ~ spl6_18 ),
    inference(unit_resulting_resolution,[],[f203,f106]) ).

tff(f106,plain,
    ( ! [X7: $o] :
        ( ~ sP3((X7))
        | ( g1($true) = f1((X7)) ) )
    | ~ spl6_18 ),
    inference(avatar_component_clause,[],[f105]) ).

tff(f203,plain,
    ( ( g1($true) != f1($true) )
    | ~ spl6_11
    | ~ spl6_13 ),
    inference(unit_resulting_resolution,[],[f75,f84]) ).

tff(f84,plain,
    ( ! [X5: $o] :
        ( ~ sP2((X5))
        | ( f1((X5)) != g1($true) ) )
    | ~ spl6_13 ),
    inference(avatar_component_clause,[],[f83]) ).

tff(f75,plain,
    ( sP2($true)
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f73]) ).

tff(f257,plain,
    ( ~ spl6_21
    | ~ spl6_23
    | ~ spl6_25
    | ~ spl6_27 ),
    inference(avatar_contradiction_clause,[],[f256]) ).

tff(f256,plain,
    ( $false
    | ~ spl6_21
    | ~ spl6_23
    | ~ spl6_25
    | ~ spl6_27 ),
    inference(subsumption_resolution,[],[f224,f240]) ).

tff(f240,plain,
    ( ( g2($false) = f2($false) )
    | ~ spl6_25
    | ~ spl6_27 ),
    inference(resolution,[],[f146,f138]) ).

tff(f138,plain,
    ( sP5($false)
    | ~ spl6_25 ),
    inference(avatar_component_clause,[],[f136]) ).

tff(f136,plain,
    ( spl6_25
  <=> sP5($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).

tff(f146,plain,
    ( ! [X11: $o] :
        ( ~ sP5((X11))
        | ( g2($false) = f2((X11)) ) )
    | ~ spl6_27 ),
    inference(avatar_component_clause,[],[f145]) ).

tff(f145,plain,
    ( spl6_27
  <=> ! [X11: $o] :
        ( ~ sP5((X11))
        | ( g2($false) = f2((X11)) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).

tff(f224,plain,
    ( ( g2($false) != f2($false) )
    | ~ spl6_21
    | ~ spl6_23 ),
    inference(unit_resulting_resolution,[],[f120,f128]) ).

tff(f128,plain,
    ( ! [X9: $o] :
        ( ~ sP4((X9))
        | ( f2((X9)) != g2($false) ) )
    | ~ spl6_23 ),
    inference(avatar_component_clause,[],[f127]) ).

tff(f127,plain,
    ( spl6_23
  <=> ! [X9: $o] :
        ( ~ sP4((X9))
        | ( f2((X9)) != g2($false) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).

tff(f120,plain,
    ( sP4($false)
    | ~ spl6_21 ),
    inference(avatar_component_clause,[],[f118]) ).

tff(f118,plain,
    ( spl6_21
  <=> sP4($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).

tff(f218,plain,
    ( ~ spl6_2
    | ~ spl6_4
    | ~ spl6_7
    | ~ spl6_9 ),
    inference(avatar_contradiction_clause,[],[f217]) ).

tff(f217,plain,
    ( $false
    | ~ spl6_2
    | ~ spl6_4
    | ~ spl6_7
    | ~ spl6_9 ),
    inference(subsumption_resolution,[],[f210,f200]) ).

tff(f200,plain,
    ( ( g($true) != f($true) )
    | ~ spl6_2
    | ~ spl6_4 ),
    inference(unit_resulting_resolution,[],[f35,f44]) ).

tff(f44,plain,
    ( ! [X1: $o] :
        ( ~ sP0((X1))
        | ( f((X1)) != g($true) ) )
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f43]) ).

tff(f43,plain,
    ( spl6_4
  <=> ! [X1: $o] :
        ( ~ sP0((X1))
        | ( f((X1)) != g($true) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

tff(f35,plain,
    ( sP0($true)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f33]) ).

tff(f33,plain,
    ( spl6_2
  <=> sP0($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

tff(f210,plain,
    ( ( g($true) = f($true) )
    | ~ spl6_7
    | ~ spl6_9 ),
    inference(resolution,[],[f66,f57]) ).

tff(f57,plain,
    ( sP1($true)
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f55]) ).

tff(f55,plain,
    ( spl6_7
  <=> sP1($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

tff(f66,plain,
    ( ! [X3: $o] :
        ( ~ sP1((X3))
        | ( g($true) = f((X3)) ) )
    | ~ spl6_9 ),
    inference(avatar_component_clause,[],[f65]) ).

tff(f65,plain,
    ( spl6_9
  <=> ! [X3: $o] :
        ( ~ sP1((X3))
        | ( g($true) = f((X3)) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

tff(f199,plain,
    ( ~ spl6_12
    | ~ spl6_15
    | ~ spl6_17
    | ~ spl6_19 ),
    inference(avatar_contradiction_clause,[],[f198]) ).

tff(f198,plain,
    ( $false
    | ~ spl6_12
    | ~ spl6_15
    | ~ spl6_17
    | ~ spl6_19 ),
    inference(trivial_inequality_removal,[],[f194]) ).

tff(f194,plain,
    ( ( f1($false) != f1($false) )
    | ~ spl6_12
    | ~ spl6_15
    | ~ spl6_17
    | ~ spl6_19 ),
    inference(unit_resulting_resolution,[],[f80,f193]) ).

tff(f193,plain,
    ( ! [X5: $o] :
        ( ~ sP2((X5))
        | ( f1((X5)) != f1($false) ) )
    | ~ spl6_15
    | ~ spl6_17
    | ~ spl6_19 ),
    inference(forward_demodulation,[],[f92,f170]) ).

tff(f170,plain,
    ( ( g1($false) = f1($false) )
    | ~ spl6_17
    | ~ spl6_19 ),
    inference(unit_resulting_resolution,[],[f102,f110]) ).

tff(f110,plain,
    ( ! [X7: $o] :
        ( ~ sP3((X7))
        | ( g1($false) = f1((X7)) ) )
    | ~ spl6_19 ),
    inference(avatar_component_clause,[],[f109]) ).

tff(f109,plain,
    ( spl6_19
  <=> ! [X7: $o] :
        ( ~ sP3((X7))
        | ( g1($false) = f1((X7)) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).

tff(f102,plain,
    ( sP3($false)
    | ~ spl6_17 ),
    inference(avatar_component_clause,[],[f100]) ).

tff(f100,plain,
    ( spl6_17
  <=> sP3($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).

tff(f92,plain,
    ( ! [X5: $o] :
        ( ~ sP2((X5))
        | ( f1((X5)) != g1($false) ) )
    | ~ spl6_15 ),
    inference(avatar_component_clause,[],[f91]) ).

tff(f91,plain,
    ( spl6_15
  <=> ! [X5: $o] :
        ( ~ sP2((X5))
        | ( f1((X5)) != g1($false) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).

tff(f80,plain,
    ( sP2($false)
    | ~ spl6_12 ),
    inference(avatar_component_clause,[],[f78]) ).

tff(f78,plain,
    ( spl6_12
  <=> sP2($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).

tff(f168,plain,
    ( ~ spl6_20
    | ~ spl6_22
    | ~ spl6_24
    | ~ spl6_26 ),
    inference(avatar_contradiction_clause,[],[f167]) ).

tff(f167,plain,
    ( $false
    | ~ spl6_20
    | ~ spl6_22
    | ~ spl6_24
    | ~ spl6_26 ),
    inference(subsumption_resolution,[],[f161,f156]) ).

tff(f156,plain,
    ( ( g2($true) != f2($true) )
    | ~ spl6_20
    | ~ spl6_22 ),
    inference(unit_resulting_resolution,[],[f115,f124]) ).

tff(f124,plain,
    ( ! [X9: $o] :
        ( ~ sP4((X9))
        | ( f2((X9)) != g2($true) ) )
    | ~ spl6_22 ),
    inference(avatar_component_clause,[],[f123]) ).

tff(f123,plain,
    ( spl6_22
  <=> ! [X9: $o] :
        ( ~ sP4((X9))
        | ( f2((X9)) != g2($true) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).

tff(f115,plain,
    ( sP4($true)
    | ~ spl6_20 ),
    inference(avatar_component_clause,[],[f113]) ).

tff(f113,plain,
    ( spl6_20
  <=> sP4($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).

tff(f161,plain,
    ( ( g2($true) = f2($true) )
    | ~ spl6_24
    | ~ spl6_26 ),
    inference(resolution,[],[f142,f133]) ).

tff(f133,plain,
    ( sP5($true)
    | ~ spl6_24 ),
    inference(avatar_component_clause,[],[f131]) ).

tff(f131,plain,
    ( spl6_24
  <=> sP5($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).

tff(f142,plain,
    ( ! [X11: $o] :
        ( ~ sP5((X11))
        | ( g2($true) = f2((X11)) ) )
    | ~ spl6_26 ),
    inference(avatar_component_clause,[],[f141]) ).

tff(f141,plain,
    ( spl6_26
  <=> ! [X11: $o] :
        ( ~ sP5((X11))
        | ( g2($true) = f2((X11)) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).

tff(f147,plain,
    ( spl6_27
    | spl6_5 ),
    inference(avatar_split_clause,[],[f4,f46,f145]) ).

tff(f46,plain,
    ( spl6_5
  <=> b ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

tff(f4,plain,
    ! [X11: $o] :
      ( b
      | ~ sP5((X11))
      | ( g2($false) = f2((X11)) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f3,plain,
    ( ( f2(c) = g2(b) )
    & ( f2(b) != g2(c) )
    & ( f1(c) = g1(a) )
    & ( f1(a) != g1(c) )
    & ( f(b) = g(a) )
    & ( f(a) != g(b) ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( f2(c) != g2(b) )
      | ( f2(b) = g2(c) )
      | ( f1(c) != g1(a) )
      | ( f1(a) = g1(c) )
      | ( f(b) != g(a) )
      | ( f(a) = g(b) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( f2(c) != g2(b) )
    | ( f2(b) = g2(c) )
    | ( f1(c) != g1(a) )
    | ( f1(a) = g1(c) )
    | ( f(b) != g(a) )
    | ( f(a) = g(b) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

tff(f143,plain,
    ( spl6_26
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f5,f46,f141]) ).

tff(f5,plain,
    ! [X11: $o] :
      ( ~ b
      | ~ sP5((X11))
      | ( g2($true) = f2((X11)) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f139,plain,
    ( spl6_14
    | spl6_25 ),
    inference(avatar_split_clause,[],[f6,f136,f86]) ).

tff(f86,plain,
    ( spl6_14
  <=> c ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).

tff(f6,plain,
    ( sP5($false)
    | c ),
    inference(cnf_transformation,[],[f3]) ).

tff(f134,plain,
    ( ~ spl6_14
    | spl6_24 ),
    inference(avatar_split_clause,[],[f7,f131,f86]) ).

tff(f7,plain,
    ( sP5($true)
    | ~ c ),
    inference(cnf_transformation,[],[f3]) ).

tff(f129,plain,
    ( spl6_23
    | spl6_14 ),
    inference(avatar_split_clause,[],[f8,f86,f127]) ).

tff(f8,plain,
    ! [X9: $o] :
      ( c
      | ~ sP4((X9))
      | ( f2((X9)) != g2($false) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f125,plain,
    ( spl6_22
    | ~ spl6_14 ),
    inference(avatar_split_clause,[],[f9,f86,f123]) ).

tff(f9,plain,
    ! [X9: $o] :
      ( ~ c
      | ~ sP4((X9))
      | ( f2((X9)) != g2($true) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f121,plain,
    ( spl6_5
    | spl6_21 ),
    inference(avatar_split_clause,[],[f10,f118,f46]) ).

tff(f10,plain,
    ( sP4($false)
    | b ),
    inference(cnf_transformation,[],[f3]) ).

tff(f116,plain,
    ( ~ spl6_5
    | spl6_20 ),
    inference(avatar_split_clause,[],[f11,f113,f46]) ).

tff(f11,plain,
    ( sP4($true)
    | ~ b ),
    inference(cnf_transformation,[],[f3]) ).

tff(f111,plain,
    ( spl6_19
    | spl6_1 ),
    inference(avatar_split_clause,[],[f12,f29,f109]) ).

tff(f29,plain,
    ( spl6_1
  <=> a ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

tff(f12,plain,
    ! [X7: $o] :
      ( a
      | ~ sP3((X7))
      | ( g1($false) = f1((X7)) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f107,plain,
    ( spl6_18
    | ~ spl6_1 ),
    inference(avatar_split_clause,[],[f13,f29,f105]) ).

tff(f13,plain,
    ! [X7: $o] :
      ( ~ a
      | ~ sP3((X7))
      | ( g1($true) = f1((X7)) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f103,plain,
    ( spl6_14
    | spl6_17 ),
    inference(avatar_split_clause,[],[f14,f100,f86]) ).

tff(f14,plain,
    ( sP3($false)
    | c ),
    inference(cnf_transformation,[],[f3]) ).

tff(f98,plain,
    ( ~ spl6_14
    | spl6_16 ),
    inference(avatar_split_clause,[],[f15,f95,f86]) ).

tff(f15,plain,
    ( sP3($true)
    | ~ c ),
    inference(cnf_transformation,[],[f3]) ).

tff(f93,plain,
    ( spl6_15
    | spl6_14 ),
    inference(avatar_split_clause,[],[f16,f86,f91]) ).

tff(f16,plain,
    ! [X5: $o] :
      ( c
      | ~ sP2((X5))
      | ( f1((X5)) != g1($false) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f89,plain,
    ( spl6_13
    | ~ spl6_14 ),
    inference(avatar_split_clause,[],[f17,f86,f83]) ).

tff(f17,plain,
    ! [X5: $o] :
      ( ~ c
      | ~ sP2((X5))
      | ( f1((X5)) != g1($true) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f81,plain,
    ( spl6_1
    | spl6_12 ),
    inference(avatar_split_clause,[],[f18,f78,f29]) ).

tff(f18,plain,
    ( sP2($false)
    | a ),
    inference(cnf_transformation,[],[f3]) ).

tff(f76,plain,
    ( ~ spl6_1
    | spl6_11 ),
    inference(avatar_split_clause,[],[f19,f73,f29]) ).

tff(f19,plain,
    ( sP2($true)
    | ~ a ),
    inference(cnf_transformation,[],[f3]) ).

tff(f71,plain,
    ( spl6_10
    | spl6_1 ),
    inference(avatar_split_clause,[],[f20,f29,f69]) ).

tff(f20,plain,
    ! [X3: $o] :
      ( a
      | ~ sP1((X3))
      | ( g($false) = f((X3)) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f67,plain,
    ( spl6_9
    | ~ spl6_1 ),
    inference(avatar_split_clause,[],[f21,f29,f65]) ).

tff(f21,plain,
    ! [X3: $o] :
      ( ~ a
      | ~ sP1((X3))
      | ( g($true) = f((X3)) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f63,plain,
    ( spl6_5
    | spl6_8 ),
    inference(avatar_split_clause,[],[f22,f60,f46]) ).

tff(f22,plain,
    ( sP1($false)
    | b ),
    inference(cnf_transformation,[],[f3]) ).

tff(f58,plain,
    ( ~ spl6_5
    | spl6_7 ),
    inference(avatar_split_clause,[],[f23,f55,f46]) ).

tff(f23,plain,
    ( sP1($true)
    | ~ b ),
    inference(cnf_transformation,[],[f3]) ).

tff(f53,plain,
    ( spl6_6
    | spl6_5 ),
    inference(avatar_split_clause,[],[f24,f46,f51]) ).

tff(f24,plain,
    ! [X1: $o] :
      ( b
      | ~ sP0((X1))
      | ( f((X1)) != g($false) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f49,plain,
    ( spl6_4
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f25,f46,f43]) ).

tff(f25,plain,
    ! [X1: $o] :
      ( ~ b
      | ~ sP0((X1))
      | ( f((X1)) != g($true) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f41,plain,
    ( spl6_1
    | spl6_3 ),
    inference(avatar_split_clause,[],[f26,f38,f29]) ).

tff(f26,plain,
    ( sP0($false)
    | a ),
    inference(cnf_transformation,[],[f3]) ).

tff(f36,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f27,f33,f29]) ).

tff(f27,plain,
    ( sP0($true)
    | ~ a ),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem    : SYO499_8 : TPTP v8.2.0. Released v8.0.0.
% 0.02/0.09  % 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
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Mon May 20 10:15:22 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.28  This is a TX0_THM_EQU_NAR problem
% 0.08/0.28  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
% 0.61/0.79  % (14792)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.79  % (14790)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 (2995ds/34Mi)
% 0.61/0.79  % (14791)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 (2995ds/51Mi)
% 0.61/0.79  % (14793)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.79  % (14794)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 (2995ds/34Mi)
% 0.61/0.79  % (14795)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.79  % (14796)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 (2995ds/83Mi)
% 0.61/0.79  % (14797)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 (2995ds/56Mi)
% 0.61/0.79  % (14794)Refutation not found, incomplete strategy% (14794)------------------------------
% 0.61/0.79  % (14794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14794)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14794)Memory used [KB]: 979
% 0.61/0.79  % (14794)Time elapsed: 0.003 s
% 0.61/0.79  % (14797)Refutation not found, incomplete strategy% (14797)------------------------------
% 0.61/0.79  % (14797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14797)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14797)Memory used [KB]: 962
% 0.61/0.79  % (14797)Time elapsed: 0.003 s
% 0.61/0.79  % (14797)Instructions burned: 3 (million)
% 0.61/0.79  % (14794)Instructions burned: 3 (million)
% 0.61/0.79  % (14795)Refutation not found, incomplete strategy% (14795)------------------------------
% 0.61/0.79  % (14795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14795)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14795)Memory used [KB]: 964
% 0.61/0.79  % (14795)Time elapsed: 0.003 s
% 0.61/0.79  % (14797)------------------------------
% 0.61/0.79  % (14797)------------------------------
% 0.61/0.79  % (14795)Instructions burned: 3 (million)
% 0.61/0.79  % (14794)------------------------------
% 0.61/0.79  % (14794)------------------------------
% 0.61/0.79  % (14793)Refutation not found, incomplete strategy% (14793)------------------------------
% 0.61/0.79  % (14793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14790)Refutation not found, incomplete strategy% (14790)------------------------------
% 0.61/0.79  % (14790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14793)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14793)Memory used [KB]: 972
% 0.61/0.79  % (14790)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14793)Time elapsed: 0.004 s
% 0.61/0.79  % (14790)Memory used [KB]: 1057
% 0.61/0.79  % (14790)Time elapsed: 0.004 s
% 0.61/0.79  % (14793)Instructions burned: 4 (million)
% 0.61/0.79  % (14790)Instructions burned: 4 (million)
% 0.61/0.79  % (14792)Refutation not found, incomplete strategy% (14792)------------------------------
% 0.61/0.79  % (14792)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14792)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14792)Memory used [KB]: 1036
% 0.61/0.79  % (14792)Time elapsed: 0.004 s
% 0.61/0.79  % (14792)Instructions burned: 4 (million)
% 0.61/0.79  % (14795)------------------------------
% 0.61/0.79  % (14795)------------------------------
% 0.61/0.79  % (14790)------------------------------
% 0.61/0.79  % (14790)------------------------------
% 0.61/0.79  % (14793)------------------------------
% 0.61/0.79  % (14793)------------------------------
% 0.61/0.79  % (14792)------------------------------
% 0.61/0.79  % (14792)------------------------------
% 0.61/0.79  % (14796)First to succeed.
% 0.61/0.79  % (14798)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)
% 0.61/0.79  % (14800)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)
% 0.61/0.79  % (14799)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)
% 0.61/0.79  % (14802)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)
% 0.61/0.79  % (14801)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)
% 0.61/0.79  % (14803)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.61/0.79  % (14791)Also succeeded, but the first one will report.
% 0.61/0.79  % (14796)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14789"
% 0.61/0.79  % (14799)Refutation not found, incomplete strategy% (14799)------------------------------
% 0.61/0.79  % (14799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14799)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14799)Memory used [KB]: 967
% 0.61/0.79  % (14799)Time elapsed: 0.003 s
% 0.61/0.79  % (14799)Instructions burned: 3 (million)
% 0.61/0.79  % (14803)Refutation not found, incomplete strategy% (14803)------------------------------
% 0.61/0.79  % (14803)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14799)------------------------------
% 0.61/0.79  % (14799)------------------------------
% 0.61/0.79  % (14803)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14803)Memory used [KB]: 979
% 0.61/0.79  % (14803)Time elapsed: 0.003 s
% 0.61/0.79  % (14803)Instructions burned: 3 (million)
% 0.61/0.79  % (14803)------------------------------
% 0.61/0.79  % (14803)------------------------------
% 0.61/0.79  % (14796)Refutation found. Thanks to Tanya!
% 0.61/0.79  % SZS status Theorem for theBenchmark
% 0.61/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.80  % (14796)------------------------------
% 0.61/0.80  % (14796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (14796)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (14796)Memory used [KB]: 1117
% 0.61/0.80  % (14796)Time elapsed: 0.008 s
% 0.61/0.80  % (14796)Instructions burned: 11 (million)
% 0.61/0.80  % (14789)Success in time 0.506 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------