TSTP Solution File: SYN015-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN015-1 : TPTP v8.2.0. Released v1.0.0.
% 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 : n012.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 08:20:25 EDT 2024

% Result   : Unsatisfiable 0.56s 0.73s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  157 (   2 unt;   0 def)
%            Number of atoms       :  542 ( 173 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  615 ( 230   ~; 367   |;   0   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  19 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f580,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f37,f46,f53,f91,f120,f167,f181,f245,f248,f264,f274,f280,f315,f422,f470,f503,f537,f549,f560,f573,f575,f578]) ).

fof(f578,plain,
    ( spl0_29
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f577,f63,f39,f25,f553]) ).

fof(f553,plain,
    ( spl0_29
  <=> element(n,m) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f25,plain,
    ( spl0_2
  <=> element(k,j) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f39,plain,
    ( spl0_5
  <=> n = k ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f63,plain,
    ( spl0_7
  <=> m = j ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f577,plain,
    ( element(n,m)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f576,f41]) ).

fof(f41,plain,
    ( n = k
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f576,plain,
    ( element(k,m)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f27,f65]) ).

fof(f65,plain,
    ( m = j
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f27,plain,
    ( element(k,j)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f575,plain,
    ( spl0_29
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f574,f105,f39,f553]) ).

fof(f105,plain,
    ( spl0_13
  <=> element(k,m) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f574,plain,
    ( element(n,m)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f106,f41]) ).

fof(f106,plain,
    ( element(k,m)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f573,plain,
    ( ~ spl0_30
    | ~ spl0_5
    | spl0_14 ),
    inference(avatar_split_clause,[],[f572,f109,f39,f557]) ).

fof(f557,plain,
    ( spl0_30
  <=> n = f(n) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f109,plain,
    ( spl0_14
  <=> k = f(k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f572,plain,
    ( n != f(n)
    | ~ spl0_5
    | spl0_14 ),
    inference(forward_demodulation,[],[f110,f41]) ).

fof(f110,plain,
    ( k != f(k)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f560,plain,
    ( ~ spl0_29
    | spl0_30
    | ~ spl0_5
    | spl0_15 ),
    inference(avatar_split_clause,[],[f551,f113,f39,f557,f553]) ).

fof(f113,plain,
    ( spl0_15
  <=> m = f(k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f551,plain,
    ( n = f(n)
    | ~ element(n,m)
    | ~ spl0_5
    | spl0_15 ),
    inference(subsumption_resolution,[],[f550,f1]) ).

fof(f1,axiom,
    m != n,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_1) ).

fof(f550,plain,
    ( n = f(n)
    | ~ element(n,m)
    | m = n
    | ~ spl0_5
    | spl0_15 ),
    inference(subsumption_resolution,[],[f524,f436]) ).

fof(f436,plain,
    ( m != f(n)
    | ~ spl0_5
    | spl0_15 ),
    inference(superposition,[],[f114,f41]) ).

fof(f114,plain,
    ( m != f(k)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f524,plain,
    ( n = f(n)
    | m = f(n)
    | ~ element(n,m)
    | m = n
    | ~ spl0_5 ),
    inference(resolution,[],[f440,f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( element(f(X0),X0)
      | ~ element(X0,m)
      | m = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_7) ).

fof(f440,plain,
    ( ! [X0] :
        ( ~ element(X0,n)
        | n = X0
        | m = X0 )
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f431]) ).

fof(f431,plain,
    ( ! [X0] :
        ( ~ element(X0,n)
        | n = X0
        | m = X0
        | n = X0 )
    | ~ spl0_5 ),
    inference(superposition,[],[f16,f41]) ).

fof(f16,axiom,
    ! [X0] :
      ( ~ element(X0,k)
      | n = X0
      | m = X0
      | k = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_16) ).

fof(f549,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f548]) ).

fof(f548,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9 ),
    inference(subsumption_resolution,[],[f547,f76]) ).

fof(f76,plain,
    ( n != j
    | spl0_9 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl0_9
  <=> n = j ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f547,plain,
    ( n = j
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f23,f41]) ).

fof(f23,plain,
    ( j = k
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl0_1
  <=> j = k ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f537,plain,
    ( spl0_7
    | ~ spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f527,f79,f75,f39,f63]) ).

fof(f79,plain,
    ( spl0_10
  <=> element(j,n) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f527,plain,
    ( m = j
    | ~ spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f522,f76]) ).

fof(f522,plain,
    ( n = j
    | m = j
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(resolution,[],[f440,f81]) ).

fof(f81,plain,
    ( element(j,n)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f503,plain,
    ( spl0_10
    | ~ spl0_5
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f502,f88,f75,f39,f79]) ).

fof(f88,plain,
    ( spl0_12
  <=> k = g(j) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f502,plain,
    ( element(j,n)
    | ~ spl0_5
    | spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f489,f76]) ).

fof(f489,plain,
    ( element(j,n)
    | n = j
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f485]) ).

fof(f485,plain,
    ( element(j,n)
    | element(j,n)
    | n = j
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(superposition,[],[f11,f453]) ).

fof(f453,plain,
    ( n = g(j)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f90,f41]) ).

fof(f90,plain,
    ( k = g(j)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f11,axiom,
    ! [X0] :
      ( element(X0,g(X0))
      | element(X0,n)
      | n = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_11) ).

fof(f470,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f469]) ).

fof(f469,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | spl0_13 ),
    inference(subsumption_resolution,[],[f466,f107]) ).

fof(f107,plain,
    ( ~ element(k,m)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f466,plain,
    ( element(k,m)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f27,f65]) ).

fof(f422,plain,
    ( ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f421,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f415,f1]) ).

fof(f415,plain,
    ( m = n
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(resolution,[],[f413,f324]) ).

fof(f324,plain,
    ( element(n,m)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(superposition,[],[f45,f32]) ).

fof(f32,plain,
    ( m = k
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl0_3
  <=> m = k ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f45,plain,
    ( element(n,k)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_6
  <=> element(n,k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f413,plain,
    ( ! [X0] :
        ( ~ element(X0,m)
        | m = X0 )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f411,f331]) ).

fof(f331,plain,
    ( ! [X0] :
        ( ~ element(X0,m)
        | n = X0
        | m = X0 )
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f320]) ).

fof(f320,plain,
    ( ! [X0] :
        ( ~ element(X0,m)
        | n = X0
        | m = X0
        | m = X0 )
    | ~ spl0_3 ),
    inference(superposition,[],[f16,f32]) ).

fof(f411,plain,
    ( ! [X0] :
        ( n != X0
        | ~ element(X0,m)
        | m = X0 )
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f400]) ).

fof(f400,plain,
    ( ! [X0] :
        ( n != X0
        | ~ element(X0,m)
        | m = X0
        | m = X0
        | ~ element(X0,m) )
    | ~ spl0_3 ),
    inference(superposition,[],[f5,f395]) ).

fof(f395,plain,
    ( ! [X0] :
        ( n = f(X0)
        | m = X0
        | ~ element(X0,m) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f394,f5]) ).

fof(f394,plain,
    ( ! [X0] :
        ( f(X0) = X0
        | m = X0
        | n = f(X0)
        | ~ element(X0,m) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f393,f7]) ).

fof(f393,plain,
    ( ! [X0] :
        ( ~ element(f(X0),X0)
        | f(X0) = X0
        | m = X0
        | n = f(X0)
        | ~ element(X0,m) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f392,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( m != f(X0)
      | ~ element(X0,m)
      | m = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_4) ).

fof(f392,plain,
    ( ! [X0] :
        ( m = f(X0)
        | ~ element(f(X0),X0)
        | f(X0) = X0
        | m = X0
        | n = f(X0)
        | ~ element(X0,m) )
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f371]) ).

fof(f371,plain,
    ( ! [X0] :
        ( m = f(X0)
        | ~ element(f(X0),X0)
        | f(X0) = X0
        | m = X0
        | n = f(X0)
        | ~ element(X0,m)
        | m = X0 )
    | ~ spl0_3 ),
    inference(resolution,[],[f358,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( element(X0,f(X0))
      | ~ element(X0,m)
      | m = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_6) ).

fof(f358,plain,
    ( ! [X0,X1] :
        ( ~ element(X1,X0)
        | m = X0
        | ~ element(X0,X1)
        | X0 = X1
        | m = X1
        | n = X0 )
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f354]) ).

fof(f354,plain,
    ( ! [X0,X1] :
        ( n = X0
        | m = X0
        | ~ element(X0,X1)
        | X0 = X1
        | m = X1
        | ~ element(X1,X0)
        | m = X0 )
    | ~ spl0_3 ),
    inference(resolution,[],[f331,f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( element(X0,m)
      | ~ element(X0,X1)
      | X0 = X1
      | m = X1
      | ~ element(X1,X0)
      | m = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_8) ).

fof(f5,axiom,
    ! [X0] :
      ( f(X0) != X0
      | ~ element(X0,m)
      | m = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_5) ).

fof(f315,plain,
    ( spl0_3
    | spl0_5
    | ~ spl0_6
    | spl0_13
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f314]) ).

fof(f314,plain,
    ( $false
    | spl0_3
    | spl0_5
    | ~ spl0_6
    | spl0_13
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f313,f45]) ).

fof(f313,plain,
    ( ~ element(n,k)
    | spl0_3
    | spl0_5
    | spl0_13
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f312,f1]) ).

fof(f312,plain,
    ( m = n
    | ~ element(n,k)
    | spl0_3
    | spl0_5
    | spl0_13
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f307,f40]) ).

fof(f40,plain,
    ( n != k
    | spl0_5 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f307,plain,
    ( n = k
    | m = n
    | ~ element(n,k)
    | spl0_3
    | spl0_13
    | ~ spl0_17 ),
    inference(resolution,[],[f282,f173]) ).

fof(f173,plain,
    ( element(k,n)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f171,plain,
    ( spl0_17
  <=> element(k,n) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f282,plain,
    ( ! [X0] :
        ( ~ element(k,X0)
        | k = X0
        | m = X0
        | ~ element(X0,k) )
    | spl0_3
    | spl0_13 ),
    inference(subsumption_resolution,[],[f281,f31]) ).

fof(f31,plain,
    ( m != k
    | spl0_3 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f281,plain,
    ( ! [X0] :
        ( ~ element(k,X0)
        | k = X0
        | m = X0
        | ~ element(X0,k)
        | m = k )
    | spl0_13 ),
    inference(resolution,[],[f107,f8]) ).

fof(f280,plain,
    ( spl0_17
    | spl0_5
    | spl0_13
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f279,f175,f105,f39,f171]) ).

fof(f175,plain,
    ( spl0_18
  <=> m = g(k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f279,plain,
    ( element(k,n)
    | spl0_5
    | spl0_13
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f278,f40]) ).

fof(f278,plain,
    ( element(k,n)
    | n = k
    | spl0_13
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f196,f107]) ).

fof(f196,plain,
    ( element(k,m)
    | element(k,n)
    | n = k
    | ~ spl0_18 ),
    inference(superposition,[],[f11,f177]) ).

fof(f177,plain,
    ( m = g(k)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f274,plain,
    ( spl0_3
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f273]) ).

fof(f273,plain,
    ( $false
    | spl0_3
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f272,f31]) ).

fof(f272,plain,
    ( m = k
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f269,f106]) ).

fof(f269,plain,
    ( ~ element(k,m)
    | m = k
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f267]) ).

fof(f267,plain,
    ( k != k
    | ~ element(k,m)
    | m = k
    | ~ spl0_14 ),
    inference(superposition,[],[f5,f111]) ).

fof(f111,plain,
    ( k = f(k)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f264,plain,
    ( spl0_3
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f263]) ).

fof(f263,plain,
    ( $false
    | spl0_3
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f262,f31]) ).

fof(f262,plain,
    ( m = k
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f261,f106]) ).

fof(f261,plain,
    ( ~ element(k,m)
    | m = k
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f260]) ).

fof(f260,plain,
    ( m != m
    | ~ element(k,m)
    | m = k
    | ~ spl0_15 ),
    inference(superposition,[],[f4,f115]) ).

fof(f115,plain,
    ( m = f(k)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f248,plain,
    ( spl0_17
    | spl0_3
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f247,f117,f105,f30,f171]) ).

fof(f117,plain,
    ( spl0_16
  <=> n = f(k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f247,plain,
    ( element(k,n)
    | spl0_3
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f246,f31]) ).

fof(f246,plain,
    ( element(k,n)
    | m = k
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f192,f106]) ).

fof(f192,plain,
    ( element(k,n)
    | ~ element(k,m)
    | m = k
    | ~ spl0_16 ),
    inference(superposition,[],[f6,f119]) ).

fof(f119,plain,
    ( n = f(k)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f245,plain,
    ( ~ spl0_17
    | spl0_3
    | ~ spl0_4
    | spl0_5
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f244,f105,f39,f34,f30,f171]) ).

fof(f34,plain,
    ( spl0_4
  <=> element(m,k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f244,plain,
    ( ~ element(k,n)
    | spl0_3
    | ~ spl0_4
    | spl0_5
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f229,f40]) ).

fof(f229,plain,
    ( ~ element(k,n)
    | n = k
    | spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f228,f1]) ).

fof(f228,plain,
    ( m = n
    | ~ element(k,n)
    | n = k
    | spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f227,f31]) ).

fof(f227,plain,
    ( m = k
    | m = n
    | ~ element(k,n)
    | n = k
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f202,f106]) ).

fof(f202,plain,
    ( ~ element(k,m)
    | m = k
    | m = n
    | ~ element(k,n)
    | n = k
    | ~ spl0_4 ),
    inference(resolution,[],[f13,f36]) ).

fof(f36,plain,
    ( element(m,k)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f13,axiom,
    ! [X2,X0] :
      ( ~ element(X2,X0)
      | ~ element(X0,X2)
      | X0 = X2
      | n = X2
      | ~ element(X0,n)
      | n = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_13) ).

fof(f181,plain,
    ( spl0_5
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f180,f175,f171,f39]) ).

fof(f180,plain,
    ( m = g(k)
    | element(k,n)
    | n = k ),
    inference(subsumption_resolution,[],[f179,f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( g(X0) != X0
      | element(X0,n)
      | n = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_10) ).

fof(f179,plain,
    ( m = g(k)
    | k = g(k)
    | element(k,n)
    | n = k ),
    inference(subsumption_resolution,[],[f102,f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( n != g(X0)
      | element(X0,n)
      | n = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_9) ).

fof(f102,plain,
    ( n = g(k)
    | m = g(k)
    | k = g(k)
    | element(k,n)
    | n = k ),
    inference(resolution,[],[f16,f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( element(g(X0),X0)
      | element(X0,n)
      | n = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_12) ).

fof(f167,plain,
    ( spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f166]) ).

fof(f166,plain,
    ( $false
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f165,f1]) ).

fof(f165,plain,
    ( m = n
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f164,f31]) ).

fof(f164,plain,
    ( m = k
    | m = n
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(resolution,[],[f157,f95]) ).

fof(f95,plain,
    ( ! [X0] :
        ( ~ element(X0,n)
        | k = X0
        | n = X0 )
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f77]) ).

fof(f77,plain,
    ( n = j
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ element(X0,j)
      | k = X0
      | j = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_3) ).

fof(f157,plain,
    ( element(m,n)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f36,f41]) ).

fof(f120,plain,
    ( ~ spl0_13
    | spl0_14
    | spl0_15
    | spl0_16
    | spl0_3 ),
    inference(avatar_split_clause,[],[f103,f30,f117,f113,f109,f105]) ).

fof(f103,plain,
    ( n = f(k)
    | m = f(k)
    | k = f(k)
    | ~ element(k,m)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f101,f31]) ).

fof(f101,plain,
    ( n = f(k)
    | m = f(k)
    | k = f(k)
    | ~ element(k,m)
    | m = k ),
    inference(resolution,[],[f16,f7]) ).

fof(f91,plain,
    ( spl0_12
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f72,f79,f75,f88]) ).

fof(f72,plain,
    ( element(j,n)
    | n = j
    | k = g(j) ),
    inference(subsumption_resolution,[],[f71,f10]) ).

fof(f71,plain,
    ( element(j,n)
    | n = j
    | k = g(j)
    | j = g(j) ),
    inference(resolution,[],[f12,f3]) ).

fof(f53,plain,
    ( ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f52]) ).

fof(f52,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f49,f1]) ).

fof(f49,plain,
    ( m = n
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(superposition,[],[f32,f41]) ).

fof(f46,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f19,f43,f39]) ).

fof(f19,plain,
    ( element(n,k)
    | n = k ),
    inference(equality_resolution,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( element(X0,k)
      | n != X0
      | k = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_15) ).

fof(f37,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f18,f34,f30]) ).

fof(f18,plain,
    ( element(m,k)
    | m = k ),
    inference(equality_resolution,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( element(X0,k)
      | m != X0
      | k = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_14) ).

fof(f28,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f17,f25,f21]) ).

fof(f17,plain,
    ( element(k,j)
    | j = k ),
    inference(equality_resolution,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( element(X0,j)
      | k != X0
      | j = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN015-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.14  % 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
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 14:59:22 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.35  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
% 0.51/0.72  % (23309)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 (2996ds/56Mi)
% 0.51/0.72  % (23306)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 (2996ds/34Mi)
% 0.51/0.72  % (23307)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.51/0.72  % (23308)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 (2996ds/83Mi)
% 0.51/0.72  % (23302)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 (2996ds/34Mi)
% 0.51/0.72  % (23304)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.51/0.72  % (23303)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 (2996ds/51Mi)
% 0.51/0.72  % (23305)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.51/0.73  % (23302)Refutation not found, incomplete strategy% (23302)------------------------------
% 0.51/0.73  % (23302)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73  % (23302)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.73  
% 0.51/0.73  % (23302)Memory used [KB]: 1056
% 0.51/0.73  % (23302)Time elapsed: 0.005 s
% 0.51/0.73  % (23302)Instructions burned: 6 (million)
% 0.51/0.73  % (23302)------------------------------
% 0.51/0.73  % (23302)------------------------------
% 0.56/0.73  % (23305)Refutation not found, incomplete strategy% (23305)------------------------------
% 0.56/0.73  % (23305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (23305)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (23305)Memory used [KB]: 1073
% 0.56/0.73  % (23305)Time elapsed: 0.009 s
% 0.56/0.73  % (23305)Instructions burned: 14 (million)
% 0.56/0.73  % (23305)------------------------------
% 0.56/0.73  % (23305)------------------------------
% 0.56/0.73  % (23310)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 (2996ds/55Mi)
% 0.56/0.73  % (23307)First to succeed.
% 0.56/0.73  % (23303)Also succeeded, but the first one will report.
% 0.56/0.73  % (23307)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23300"
% 0.56/0.73  % (23307)Refutation found. Thanks to Tanya!
% 0.56/0.73  % SZS status Unsatisfiable for theBenchmark
% 0.56/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.74  % (23307)------------------------------
% 0.56/0.74  % (23307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (23307)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (23307)Memory used [KB]: 1160
% 0.56/0.74  % (23307)Time elapsed: 0.013 s
% 0.56/0.74  % (23307)Instructions burned: 21 (million)
% 0.56/0.74  % (23300)Success in time 0.382 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------