TSTP Solution File: NUM858+1 by Vampire-SAT---4.9

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : NUM858+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n022.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 Jun 24 13:28:11 EDT 2024

% Result   : Theorem 16.12s 2.81s
% Output   : Refutation 16.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  224 (   6 unt;   0 def)
%            Number of atoms       :  655 (  67 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  776 ( 345   ~; 392   |;   8   &)
%                                         (  25 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  13 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :  150 ( 147   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4258,plain,
    $false,
    inference(avatar_sat_refutation,[],[f64,f134,f231,f403,f437,f1727,f1826,f2164,f3480,f3656,f3661,f3667,f3726,f3735,f3854,f3906,f3925,f3929,f3965,f4002,f4041,f4064,f4244,f4246,f4257]) ).

fof(f4257,plain,
    ( ~ spl5_3
    | spl5_6
    | ~ spl5_12 ),
    inference(avatar_contradiction_clause,[],[f4256]) ).

fof(f4256,plain,
    ( $false
    | ~ spl5_3
    | spl5_6
    | ~ spl5_12 ),
    inference(global_subsumption,[],[f4129,f230]) ).

fof(f230,plain,
    ( ~ lesseq(sK1,sK0)
    | spl5_6 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl5_6
  <=> lesseq(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f4129,plain,
    ( lesseq(sK1,sK0)
    | ~ spl5_3
    | ~ spl5_12 ),
    inference(forward_demodulation,[],[f2162,f129]) ).

fof(f129,plain,
    ( sK1 = sK2
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl5_3
  <=> sK1 = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f2162,plain,
    ( lesseq(sK2,sK0)
    | ~ spl5_12 ),
    inference(avatar_component_clause,[],[f2161]) ).

fof(f2161,plain,
    ( spl5_12
  <=> lesseq(sK2,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).

fof(f4246,plain,
    ( spl5_8
    | spl5_9 ),
    inference(avatar_contradiction_clause,[],[f4245]) ).

fof(f4245,plain,
    ( $false
    | spl5_8
    | spl5_9 ),
    inference(global_subsumption,[],[f4133,f574]) ).

fof(f574,plain,
    ( sK0 != max(sK1,sK0)
    | spl5_8 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f573,plain,
    ( spl5_8
  <=> sK0 = max(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).

fof(f4133,plain,
    ( sK0 = max(sK1,sK0)
    | spl5_9 ),
    inference(resolution,[],[f828,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( lesseq(X1,X0)
      | max(X0,X1) = X1 ),
    inference(resolution,[],[f31,f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( lesseq(X0,X1)
      | lesseq(X1,X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( lesseq(X1,X0)
      | lesseq(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ lesseq(X0,X1)
      | max(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f8]) ).

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

fof(f828,plain,
    ( ~ lesseq(sK0,sK1)
    | spl5_9 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f827,plain,
    ( spl5_9
  <=> lesseq(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).

fof(f4244,plain,
    ( ~ spl5_2
    | ~ spl5_3
    | spl5_5
    | ~ spl5_8 ),
    inference(avatar_contradiction_clause,[],[f4243]) ).

fof(f4243,plain,
    ( $false
    | ~ spl5_2
    | ~ spl5_3
    | spl5_5
    | ~ spl5_8 ),
    inference(subsumption_resolution,[],[f4242,f225]) ).

fof(f225,plain,
    ( sK0 != sK1
    | spl5_5 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl5_5
  <=> sK0 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f4242,plain,
    ( sK0 = sK1
    | ~ spl5_2
    | ~ spl5_3
    | spl5_5
    | ~ spl5_8 ),
    inference(forward_demodulation,[],[f4179,f575]) ).

fof(f575,plain,
    ( sK0 = max(sK1,sK0)
    | ~ spl5_8 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f4179,plain,
    ( sK1 = max(sK1,sK0)
    | ~ spl5_2
    | ~ spl5_3
    | spl5_5 ),
    inference(subsumption_resolution,[],[f4172,f225]) ).

fof(f4172,plain,
    ( sK0 = sK1
    | sK1 = max(sK1,sK0)
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(superposition,[],[f4159,f177]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( max(X0,X1) = X0
      | max(X1,X0) = X1 ),
    inference(resolution,[],[f71,f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ lesseq(X1,X0)
      | max(X0,X1) = X0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ lesseq(X1,X0)
      | max(X0,X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f71,plain,
    ! [X0,X1] :
      ( lesseq(X0,X1)
      | max(X0,X1) = X0 ),
    inference(resolution,[],[f32,f30]) ).

fof(f4159,plain,
    ( sK1 = max(sK0,sK1)
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(resolution,[],[f4080,f53]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ model_max(X0,X1,X2)
      | max(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( model_max(X0,X1,X2)
    <=> max(X0,X1) = X2 ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1,X3] :
      ( model_max(X0,X1,X3)
    <=> max(X0,X1) = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4080,plain,
    ( model_max(sK0,sK1,sK1)
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(resolution,[],[f4074,f45]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( ~ minsol_model_max(X0,X1,X2)
      | model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( minsol_model_max(X0,X1,X2)
    <=> ( ! [X3] :
            ( lesseq(X2,X3)
            | ~ model_max(X0,X1,X3) )
        & model_max(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( minsol_model_max(X0,X1,X2)
    <=> ( ! [X3] :
            ( model_max(X0,X1,X3)
           => lesseq(X2,X3) )
        & model_max(X0,X1,X2) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1,X3] :
      ( minsol_model_max(X0,X1,X3)
    <=> ( ! [X2] :
            ( model_max(X0,X1,X2)
           => lesseq(X3,X2) )
        & model_max(X0,X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4074,plain,
    ( minsol_model_max(sK0,sK1,sK1)
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(backward_demodulation,[],[f63,f129]) ).

fof(f63,plain,
    ( minsol_model_max(sK0,sK1,sK2)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl5_2
  <=> minsol_model_max(sK0,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f4064,plain,
    ( spl5_5
    | ~ spl5_6
    | ~ spl5_9 ),
    inference(avatar_contradiction_clause,[],[f4063]) ).

fof(f4063,plain,
    ( $false
    | spl5_5
    | ~ spl5_6
    | ~ spl5_9 ),
    inference(global_subsumption,[],[f3777,f829]) ).

fof(f829,plain,
    ( lesseq(sK0,sK1)
    | ~ spl5_9 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f3777,plain,
    ( ~ lesseq(sK0,sK1)
    | spl5_5
    | ~ spl5_6 ),
    inference(global_subsumption,[],[f3776]) ).

fof(f3776,plain,
    ( ~ lesseq(sK0,sK1)
    | spl5_5
    | ~ spl5_6 ),
    inference(global_subsumption,[],[f3775]) ).

fof(f3775,plain,
    ( ~ lesseq(sK0,sK1)
    | spl5_5
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f3745,f225]) ).

fof(f3745,plain,
    ( ~ lesseq(sK0,sK1)
    | sK0 = sK1
    | ~ spl5_6 ),
    inference(resolution,[],[f229,f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ lesseq(X1,X0)
      | ~ lesseq(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ lesseq(X1,X0)
      | ~ lesseq(X0,X1) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ lesseq(X1,X0)
      | ~ lesseq(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ( lesseq(X1,X0)
        & lesseq(X0,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f229,plain,
    ( lesseq(sK1,sK0)
    | ~ spl5_6 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f4041,plain,
    ( ~ spl5_3
    | ~ spl5_5
    | spl5_7 ),
    inference(avatar_contradiction_clause,[],[f4040]) ).

fof(f4040,plain,
    ( $false
    | ~ spl5_3
    | ~ spl5_5
    | spl5_7 ),
    inference(global_subsumption,[],[f4018,f435]) ).

fof(f435,plain,
    ( sK0 != sK2
    | spl5_7 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f434,plain,
    ( spl5_7
  <=> sK0 = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

fof(f4018,plain,
    ( sK0 = sK2
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f129,f226]) ).

fof(f226,plain,
    ( sK0 = sK1
    | ~ spl5_5 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f4002,plain,
    ( spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(avatar_contradiction_clause,[],[f4001]) ).

fof(f4001,plain,
    ( $false
    | spl5_1
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(global_subsumption,[],[f1701,f229]) ).

fof(f1701,plain,
    ( ~ lesseq(sK1,sK0)
    | spl5_1
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1700,f29]) ).

fof(f29,plain,
    ! [X0] : lesseq(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : lesseq(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f1700,plain,
    ( ~ lesseq(sK1,sK0)
    | ~ lesseq(sK0,sK0)
    | spl5_1
    | ~ spl5_7 ),
    inference(resolution,[],[f1661,f41]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( ub(X0,X1,X2)
      | ~ lesseq(X1,X2)
      | ~ lesseq(X0,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ub(X0,X1,X2)
    <=> ( lesseq(X1,X2)
        & lesseq(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f1661,plain,
    ( ~ ub(sK0,sK1,sK0)
    | spl5_1
    | ~ spl5_7 ),
    inference(resolution,[],[f1622,f50]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( model_ub(X0,X1,X2)
      | ~ ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( model_ub(X0,X1,X2)
    <=> ub(X0,X1,X2) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X3] :
      ( model_ub(X0,X1,X3)
    <=> ub(X0,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f1622,plain,
    ( ~ model_ub(sK0,sK1,sK0)
    | spl5_1
    | ~ spl5_7 ),
    inference(resolution,[],[f1619,f454]) ).

fof(f454,plain,
    ( ~ minsol_model_ub(sK0,sK1,sK0)
    | spl5_1
    | ~ spl5_7 ),
    inference(backward_demodulation,[],[f58,f436]) ).

fof(f436,plain,
    ( sK0 = sK2
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f58,plain,
    ( ~ minsol_model_ub(sK0,sK1,sK2)
    | spl5_1 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f57,plain,
    ( spl5_1
  <=> minsol_model_ub(sK0,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f1619,plain,
    ! [X0,X1] :
      ( minsol_model_ub(X0,X1,X0)
      | ~ model_ub(X0,X1,X0) ),
    inference(duplicate_literal_removal,[],[f1594]) ).

fof(f1594,plain,
    ! [X0,X1] :
      ( ~ model_ub(X0,X1,X0)
      | minsol_model_ub(X0,X1,X0)
      | ~ model_ub(X0,X1,X0)
      | minsol_model_ub(X0,X1,X0) ),
    inference(resolution,[],[f390,f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ~ lesseq(X2,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2)
      | minsol_model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <=> ( ! [X3] :
            ( lesseq(X2,X3)
            | ~ model_ub(X0,X1,X3) )
        & model_ub(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <=> ( ! [X3] :
            ( model_ub(X0,X1,X3)
           => lesseq(X2,X3) )
        & model_ub(X0,X1,X2) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X3] :
      ( minsol_model_ub(X0,X1,X3)
    <=> ( ! [X2] :
            ( model_ub(X0,X1,X2)
           => lesseq(X3,X2) )
        & model_ub(X0,X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f390,plain,
    ! [X2,X0,X1] :
      ( lesseq(X0,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2)
      | minsol_model_ub(X0,X1,X2) ),
    inference(resolution,[],[f135,f39]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ~ ub(X0,X1,X2)
      | lesseq(X0,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( ub(X0,X1,sK4(X0,X1,X2))
      | minsol_model_ub(X0,X1,X2)
      | ~ model_ub(X0,X1,X2) ),
    inference(resolution,[],[f46,f51]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( ~ model_ub(X0,X1,X2)
      | ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( model_ub(X0,X1,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2)
      | minsol_model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f3965,plain,
    ( ~ spl5_1
    | ~ spl5_2
    | ~ spl5_7 ),
    inference(avatar_contradiction_clause,[],[f3964]) ).

fof(f3964,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_2
    | ~ spl5_7 ),
    inference(global_subsumption,[],[f1731,f63]) ).

fof(f1731,plain,
    ( ~ minsol_model_max(sK0,sK1,sK2)
    | ~ spl5_1 ),
    inference(global_subsumption,[],[f65]) ).

fof(f65,plain,
    ( ~ minsol_model_max(sK0,sK1,sK2)
    | ~ spl5_1 ),
    inference(subsumption_resolution,[],[f28,f59]) ).

fof(f59,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f28,plain,
    ( ~ minsol_model_max(sK0,sK1,sK2)
    | ~ minsol_model_ub(sK0,sK1,sK2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ? [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <~> minsol_model_max(X0,X1,X2) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( minsol_model_ub(X0,X1,X2)
      <=> minsol_model_max(X0,X1,X2) ),
    inference(negated_conjecture,[],[f14]) ).

fof(f14,conjecture,
    ! [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <=> minsol_model_max(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f3929,plain,
    ( spl5_3
    | ~ spl5_5
    | ~ spl5_7 ),
    inference(avatar_contradiction_clause,[],[f3928]) ).

fof(f3928,plain,
    ( $false
    | spl5_3
    | ~ spl5_5
    | ~ spl5_7 ),
    inference(global_subsumption,[],[f226,f3739]) ).

fof(f3739,plain,
    ( sK0 != sK1
    | spl5_3
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f128,f436]) ).

fof(f128,plain,
    ( sK1 != sK2
    | spl5_3 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f3925,plain,
    ( ~ spl5_1
    | spl5_3
    | ~ spl5_5
    | ~ spl5_7 ),
    inference(avatar_contradiction_clause,[],[f3924]) ).

fof(f3924,plain,
    ( $false
    | ~ spl5_1
    | spl5_3
    | ~ spl5_5
    | ~ spl5_7 ),
    inference(global_subsumption,[],[f3739,f226]) ).

fof(f3906,plain,
    ( spl5_5
    | ~ spl5_6
    | ~ spl5_7
    | spl5_11 ),
    inference(avatar_contradiction_clause,[],[f3905]) ).

fof(f3905,plain,
    ( $false
    | spl5_5
    | ~ spl5_6
    | ~ spl5_7
    | spl5_11 ),
    inference(subsumption_resolution,[],[f3896,f225]) ).

fof(f3896,plain,
    ( sK0 = sK1
    | ~ spl5_6
    | ~ spl5_7
    | spl5_11 ),
    inference(backward_demodulation,[],[f3856,f3743]) ).

fof(f3743,plain,
    ( sK0 = max(sK1,sK0)
    | ~ spl5_6 ),
    inference(resolution,[],[f229,f31]) ).

fof(f3856,plain,
    ( sK1 = max(sK1,sK0)
    | ~ spl5_7
    | spl5_11 ),
    inference(resolution,[],[f3855,f474]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( model_max(X0,X1,X0)
      | max(X1,X0) = X1 ),
    inference(superposition,[],[f54,f177]) ).

fof(f54,plain,
    ! [X0,X1] : model_max(X0,X1,max(X0,X1)),
    inference(equality_resolution,[],[f52]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( max(X0,X1) != X2
      | model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f3855,plain,
    ( ~ model_max(sK0,sK1,sK0)
    | ~ spl5_7
    | spl5_11 ),
    inference(forward_demodulation,[],[f1825,f436]) ).

fof(f1825,plain,
    ( ~ model_max(sK0,sK1,sK2)
    | spl5_11 ),
    inference(avatar_component_clause,[],[f1823]) ).

fof(f1823,plain,
    ( spl5_11
  <=> model_max(sK0,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).

fof(f3854,plain,
    ( spl5_2
    | ~ spl5_7
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(avatar_contradiction_clause,[],[f3853]) ).

fof(f3853,plain,
    ( $false
    | spl5_2
    | ~ spl5_7
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(subsumption_resolution,[],[f3852,f3740]) ).

fof(f3740,plain,
    ( ~ minsol_model_max(sK0,sK1,sK0)
    | spl5_2
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f62,f436]) ).

fof(f62,plain,
    ( ~ minsol_model_max(sK0,sK1,sK2)
    | spl5_2 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f3852,plain,
    ( minsol_model_max(sK0,sK1,sK0)
    | ~ spl5_7
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(subsumption_resolution,[],[f3851,f3819]) ).

fof(f3819,plain,
    ( model_max(sK0,sK1,sK0)
    | ~ spl5_7
    | ~ spl5_11 ),
    inference(forward_demodulation,[],[f1824,f436]) ).

fof(f1824,plain,
    ( model_max(sK0,sK1,sK2)
    | ~ spl5_11 ),
    inference(avatar_component_clause,[],[f1823]) ).

fof(f3851,plain,
    ( ~ model_max(sK0,sK1,sK0)
    | minsol_model_max(sK0,sK1,sK0)
    | ~ spl5_7
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(subsumption_resolution,[],[f3850,f29]) ).

fof(f3850,plain,
    ( ~ lesseq(sK0,sK0)
    | ~ model_max(sK0,sK1,sK0)
    | minsol_model_max(sK0,sK1,sK0)
    | ~ spl5_7
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(superposition,[],[f43,f3837]) ).

fof(f3837,plain,
    ( sK0 = sK3(sK0,sK1,sK0)
    | ~ spl5_7
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(forward_demodulation,[],[f3836,f3823]) ).

fof(f3823,plain,
    ( sK0 = max(sK0,sK1)
    | ~ spl5_7
    | ~ spl5_11 ),
    inference(resolution,[],[f3819,f53]) ).

fof(f3836,plain,
    ( max(sK0,sK1) = sK3(sK0,sK1,sK0)
    | ~ spl5_7
    | ~ spl5_10 ),
    inference(forward_demodulation,[],[f1821,f436]) ).

fof(f1821,plain,
    ( max(sK0,sK1) = sK3(sK0,sK1,sK2)
    | ~ spl5_10 ),
    inference(avatar_component_clause,[],[f1819]) ).

fof(f1819,plain,
    ( spl5_10
  <=> max(sK0,sK1) = sK3(sK0,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ lesseq(X2,sK3(X0,X1,X2))
      | ~ model_max(X0,X1,X2)
      | minsol_model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f3735,plain,
    ( ~ spl5_1
    | spl5_4
    | spl5_6 ),
    inference(avatar_contradiction_clause,[],[f3734]) ).

fof(f3734,plain,
    ( $false
    | ~ spl5_1
    | spl5_4
    | spl5_6 ),
    inference(global_subsumption,[],[f3401,f230]) ).

fof(f3401,plain,
    ( lesseq(sK1,sK0)
    | ~ spl5_1
    | spl5_4 ),
    inference(resolution,[],[f3395,f30]) ).

fof(f3395,plain,
    ( ~ lesseq(sK0,sK1)
    | ~ spl5_1
    | spl5_4 ),
    inference(subsumption_resolution,[],[f3352,f29]) ).

fof(f3352,plain,
    ( ~ lesseq(sK1,sK1)
    | ~ lesseq(sK0,sK1)
    | ~ spl5_1
    | spl5_4 ),
    inference(resolution,[],[f1790,f133]) ).

fof(f133,plain,
    ( ~ lesseq(sK2,sK1)
    | spl5_4 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl5_4
  <=> lesseq(sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f1790,plain,
    ( ! [X0] :
        ( lesseq(sK2,X0)
        | ~ lesseq(sK1,X0)
        | ~ lesseq(sK0,X0) )
    | ~ spl5_1 ),
    inference(resolution,[],[f1785,f41]) ).

fof(f1785,plain,
    ( ! [X0] :
        ( ~ ub(sK0,sK1,X0)
        | lesseq(sK2,X0) )
    | ~ spl5_1 ),
    inference(resolution,[],[f1732,f50]) ).

fof(f1732,plain,
    ( ! [X0] :
        ( ~ model_ub(sK0,sK1,X0)
        | lesseq(sK2,X0) )
    | ~ spl5_1 ),
    inference(resolution,[],[f59,f48]) ).

fof(f48,plain,
    ! [X2,X3,X0,X1] :
      ( ~ minsol_model_ub(X0,X1,X2)
      | lesseq(X2,X3)
      | ~ model_ub(X0,X1,X3) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f3726,plain,
    ( ~ spl5_1
    | ~ spl5_3
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(avatar_contradiction_clause,[],[f3725]) ).

fof(f3725,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_3
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(subsumption_resolution,[],[f3724,f3664]) ).

fof(f3664,plain,
    ( ~ minsol_model_max(sK0,sK1,sK1)
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(global_subsumption,[],[f137]) ).

fof(f137,plain,
    ( ~ minsol_model_max(sK0,sK1,sK1)
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(backward_demodulation,[],[f65,f129]) ).

fof(f3724,plain,
    ( minsol_model_max(sK0,sK1,sK1)
    | ~ spl5_3
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(subsumption_resolution,[],[f3723,f3671]) ).

fof(f3671,plain,
    ( model_max(sK0,sK1,sK1)
    | ~ spl5_3
    | ~ spl5_11 ),
    inference(forward_demodulation,[],[f1824,f129]) ).

fof(f3723,plain,
    ( ~ model_max(sK0,sK1,sK1)
    | minsol_model_max(sK0,sK1,sK1)
    | ~ spl5_3
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(subsumption_resolution,[],[f3722,f29]) ).

fof(f3722,plain,
    ( ~ lesseq(sK1,sK1)
    | ~ model_max(sK0,sK1,sK1)
    | minsol_model_max(sK0,sK1,sK1)
    | ~ spl5_3
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(superposition,[],[f43,f3709]) ).

fof(f3709,plain,
    ( sK1 = sK3(sK0,sK1,sK1)
    | ~ spl5_3
    | ~ spl5_10
    | ~ spl5_11 ),
    inference(forward_demodulation,[],[f3672,f3694]) ).

fof(f3694,plain,
    ( sK1 = max(sK0,sK1)
    | ~ spl5_3
    | ~ spl5_11 ),
    inference(resolution,[],[f3671,f53]) ).

fof(f3672,plain,
    ( max(sK0,sK1) = sK3(sK0,sK1,sK1)
    | ~ spl5_3
    | ~ spl5_10 ),
    inference(forward_demodulation,[],[f1821,f129]) ).

fof(f3667,plain,
    ( ~ spl5_1
    | ~ spl5_3
    | spl5_11 ),
    inference(avatar_contradiction_clause,[],[f3666]) ).

fof(f3666,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_3
    | spl5_11 ),
    inference(global_subsumption,[],[f149,f3665]) ).

fof(f3665,plain,
    ( ~ model_max(sK0,sK1,sK1)
    | ~ spl5_3
    | spl5_11 ),
    inference(forward_demodulation,[],[f1825,f129]) ).

fof(f149,plain,
    ( model_max(sK0,sK1,sK1)
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(backward_demodulation,[],[f121,f129]) ).

fof(f121,plain,
    ( model_max(sK0,sK2,sK2)
    | ~ spl5_1 ),
    inference(superposition,[],[f54,f99]) ).

fof(f99,plain,
    ( sK2 = max(sK0,sK2)
    | ~ spl5_1 ),
    inference(resolution,[],[f83,f31]) ).

fof(f83,plain,
    ( lesseq(sK0,sK2)
    | ~ spl5_1 ),
    inference(resolution,[],[f81,f39]) ).

fof(f81,plain,
    ( ub(sK0,sK1,sK2)
    | ~ spl5_1 ),
    inference(resolution,[],[f51,f79]) ).

fof(f79,plain,
    ( model_ub(sK0,sK1,sK2)
    | ~ spl5_1 ),
    inference(resolution,[],[f49,f59]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ~ minsol_model_ub(X0,X1,X2)
      | model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f3661,plain,
    ( ~ spl5_1
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(avatar_contradiction_clause,[],[f3660]) ).

fof(f3660,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(global_subsumption,[],[f1731,f63]) ).

fof(f3656,plain,
    ( spl5_1
    | ~ spl5_3
    | spl5_12 ),
    inference(avatar_contradiction_clause,[],[f3655]) ).

fof(f3655,plain,
    ( $false
    | spl5_1
    | ~ spl5_3
    | spl5_12 ),
    inference(subsumption_resolution,[],[f3654,f3506]) ).

fof(f3506,plain,
    ( lesseq(sK0,sK1)
    | ~ spl5_3
    | spl5_12 ),
    inference(resolution,[],[f3500,f30]) ).

fof(f3500,plain,
    ( ~ lesseq(sK1,sK0)
    | ~ spl5_3
    | spl5_12 ),
    inference(backward_demodulation,[],[f2163,f129]) ).

fof(f2163,plain,
    ( ~ lesseq(sK2,sK0)
    | spl5_12 ),
    inference(avatar_component_clause,[],[f2161]) ).

fof(f3654,plain,
    ( ~ lesseq(sK0,sK1)
    | spl5_1
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f3653,f29]) ).

fof(f3653,plain,
    ( ~ lesseq(sK1,sK1)
    | ~ lesseq(sK0,sK1)
    | spl5_1
    | ~ spl5_3 ),
    inference(resolution,[],[f3586,f41]) ).

fof(f3586,plain,
    ( ~ ub(sK0,sK1,sK1)
    | spl5_1
    | ~ spl5_3 ),
    inference(resolution,[],[f3540,f50]) ).

fof(f3540,plain,
    ( ~ model_ub(sK0,sK1,sK1)
    | spl5_1
    | ~ spl5_3 ),
    inference(global_subsumption,[],[f3533]) ).

fof(f3533,plain,
    ( ~ model_ub(sK0,sK1,sK1)
    | spl5_1
    | ~ spl5_3 ),
    inference(resolution,[],[f3490,f1591]) ).

fof(f1591,plain,
    ! [X0,X1] :
      ( minsol_model_ub(X0,X1,X1)
      | ~ model_ub(X0,X1,X1) ),
    inference(duplicate_literal_removal,[],[f1566]) ).

fof(f1566,plain,
    ! [X0,X1] :
      ( ~ model_ub(X0,X1,X1)
      | minsol_model_ub(X0,X1,X1)
      | ~ model_ub(X0,X1,X1)
      | minsol_model_ub(X0,X1,X1) ),
    inference(resolution,[],[f389,f47]) ).

fof(f389,plain,
    ! [X2,X0,X1] :
      ( lesseq(X1,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2)
      | minsol_model_ub(X0,X1,X2) ),
    inference(resolution,[],[f135,f40]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ ub(X0,X1,X2)
      | lesseq(X1,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f3490,plain,
    ( ~ minsol_model_ub(sK0,sK1,sK1)
    | spl5_1
    | ~ spl5_3 ),
    inference(backward_demodulation,[],[f58,f129]) ).

fof(f3480,plain,
    ( ~ spl5_1
    | spl5_4
    | spl5_12 ),
    inference(avatar_contradiction_clause,[],[f3479]) ).

fof(f3479,plain,
    ( $false
    | ~ spl5_1
    | spl5_4
    | spl5_12 ),
    inference(global_subsumption,[],[f3396,f3401]) ).

fof(f3396,plain,
    ( ~ lesseq(sK1,sK0)
    | ~ spl5_1
    | spl5_12 ),
    inference(subsumption_resolution,[],[f3353,f29]) ).

fof(f3353,plain,
    ( ~ lesseq(sK1,sK0)
    | ~ lesseq(sK0,sK0)
    | ~ spl5_1
    | spl5_12 ),
    inference(resolution,[],[f1790,f2163]) ).

fof(f2164,plain,
    ( spl5_7
    | ~ spl5_12
    | ~ spl5_1 ),
    inference(avatar_split_clause,[],[f1794,f57,f2161,f434]) ).

fof(f1794,plain,
    ( ~ lesseq(sK2,sK0)
    | sK0 = sK2
    | ~ spl5_1 ),
    inference(resolution,[],[f1788,f33]) ).

fof(f1788,plain,
    ( lesseq(sK0,sK2)
    | ~ spl5_1 ),
    inference(resolution,[],[f1783,f39]) ).

fof(f1783,plain,
    ( ub(sK0,sK1,sK2)
    | ~ spl5_1 ),
    inference(resolution,[],[f1733,f51]) ).

fof(f1733,plain,
    ( model_ub(sK0,sK1,sK2)
    | ~ spl5_1 ),
    inference(resolution,[],[f59,f49]) ).

fof(f1826,plain,
    ( spl5_10
    | ~ spl5_11
    | spl5_2 ),
    inference(avatar_split_clause,[],[f1735,f61,f1823,f1819]) ).

fof(f1735,plain,
    ( ~ model_max(sK0,sK1,sK2)
    | max(sK0,sK1) = sK3(sK0,sK1,sK2)
    | spl5_2 ),
    inference(resolution,[],[f62,f125]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( minsol_model_max(X0,X1,X2)
      | ~ model_max(X0,X1,X2)
      | max(X0,X1) = sK3(X0,X1,X2) ),
    inference(resolution,[],[f42,f53]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( model_max(X0,X1,sK3(X0,X1,X2))
      | ~ model_max(X0,X1,X2)
      | minsol_model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f1727,plain,
    ( spl5_1
    | ~ spl5_2
    | spl5_5
    | ~ spl5_7 ),
    inference(avatar_contradiction_clause,[],[f1726]) ).

fof(f1726,plain,
    ( $false
    | spl5_1
    | ~ spl5_2
    | spl5_5
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f1725,f225]) ).

fof(f1725,plain,
    ( sK0 = sK1
    | spl5_1
    | ~ spl5_2
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f1706,f450]) ).

fof(f450,plain,
    ( sK0 = max(sK0,sK1)
    | ~ spl5_2
    | ~ spl5_7 ),
    inference(backward_demodulation,[],[f406,f436]) ).

fof(f406,plain,
    ( sK2 = max(sK0,sK1)
    | ~ spl5_2 ),
    inference(resolution,[],[f405,f53]) ).

fof(f405,plain,
    ( model_max(sK0,sK1,sK2)
    | ~ spl5_2 ),
    inference(resolution,[],[f63,f45]) ).

fof(f1706,plain,
    ( sK1 = max(sK0,sK1)
    | spl5_1
    | ~ spl5_7 ),
    inference(resolution,[],[f1701,f67]) ).

fof(f437,plain,
    ( spl5_7
    | spl5_3
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f425,f61,f127,f434]) ).

fof(f425,plain,
    ( sK1 = sK2
    | sK0 = sK2
    | ~ spl5_2 ),
    inference(superposition,[],[f167,f406]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( max(X0,X1) = X1
      | max(X0,X1) = X0 ),
    inference(resolution,[],[f67,f32]) ).

fof(f403,plain,
    ( ~ spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(avatar_contradiction_clause,[],[f402]) ).

fof(f402,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f401,f245]) ).

fof(f245,plain,
    ( ~ minsol_model_max(sK0,sK0,sK0)
    | ~ spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(backward_demodulation,[],[f137,f226]) ).

fof(f401,plain,
    ( minsol_model_max(sK0,sK0,sK0)
    | ~ spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f400,f69]) ).

fof(f69,plain,
    ! [X0] : model_max(X0,X0,X0),
    inference(superposition,[],[f54,f66]) ).

fof(f66,plain,
    ! [X0] : max(X0,X0) = X0,
    inference(resolution,[],[f31,f29]) ).

fof(f400,plain,
    ( ~ model_max(sK0,sK0,sK0)
    | minsol_model_max(sK0,sK0,sK0)
    | ~ spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f399,f29]) ).

fof(f399,plain,
    ( ~ lesseq(sK0,sK0)
    | ~ model_max(sK0,sK0,sK0)
    | minsol_model_max(sK0,sK0,sK0)
    | ~ spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(superposition,[],[f43,f396]) ).

fof(f396,plain,
    ( sK0 = sK3(sK0,sK0,sK0)
    | ~ spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f395,f66]) ).

fof(f395,plain,
    ( max(sK0,sK0) = sK3(sK0,sK0,sK0)
    | ~ spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f394,f69]) ).

fof(f394,plain,
    ( ~ model_max(sK0,sK0,sK0)
    | max(sK0,sK0) = sK3(sK0,sK0,sK0)
    | ~ spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(resolution,[],[f125,f245]) ).

fof(f231,plain,
    ( spl5_5
    | ~ spl5_6
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(avatar_split_clause,[],[f153,f127,f57,f228,f224]) ).

fof(f153,plain,
    ( ~ lesseq(sK1,sK0)
    | sK0 = sK1
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(resolution,[],[f141,f33]) ).

fof(f141,plain,
    ( lesseq(sK0,sK1)
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(backward_demodulation,[],[f83,f129]) ).

fof(f134,plain,
    ( spl5_3
    | ~ spl5_4
    | ~ spl5_1 ),
    inference(avatar_split_clause,[],[f88,f57,f131,f127]) ).

fof(f88,plain,
    ( ~ lesseq(sK2,sK1)
    | sK1 = sK2
    | ~ spl5_1 ),
    inference(resolution,[],[f82,f33]) ).

fof(f82,plain,
    ( lesseq(sK1,sK2)
    | ~ spl5_1 ),
    inference(resolution,[],[f81,f40]) ).

fof(f64,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f27,f61,f57]) ).

fof(f27,plain,
    ( minsol_model_max(sK0,sK1,sK2)
    | minsol_model_ub(sK0,sK1,sK2) ),
    inference(cnf_transformation,[],[f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM858+1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.13  % Command    : run_vampire %s %d SAT
% 0.13/0.34  % Computer : n022.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   : Sat Jun 22 23:31:24 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.37  Running first-order model finding
% 0.13/0.37  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.43  % (30349)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (30354)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.43  % (30349)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (30356)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.22/0.43  % (30349)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (30350)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.43  % (30349)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (30352)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.43  % (30349)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (30351)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.22/0.43  % (30349)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (30355)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.22/0.43  % (30349)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (30353)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.44  TRYING [3]
% 0.22/0.44  TRYING [4]
% 0.22/0.45  TRYING [10]
% 0.22/0.46  TRYING [5]
% 0.22/0.48  % (30356)Instruction limit reached!
% 0.22/0.48  % (30356)------------------------------
% 0.22/0.48  % (30356)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48  % (30356)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48  % (30356)Termination reason: Time limit
% 0.22/0.48  % (30356)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (30356)Memory used [KB]: 1441
% 0.22/0.48  % (30356)Time elapsed: 0.055 s
% 0.22/0.48  % (30356)Instructions burned: 116 (million)
% 0.22/0.49  % (30354)Instruction limit reached!
% 0.22/0.49  % (30354)------------------------------
% 0.22/0.49  % (30354)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49  % (30354)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49  % (30354)Termination reason: Time limit
% 0.22/0.49  % (30354)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (30354)Memory used [KB]: 1086
% 0.22/0.49  % (30354)Time elapsed: 0.059 s
% 0.22/0.49  % (30354)Instructions burned: 104 (million)
% 0.22/0.51  TRYING [6]
% 0.22/0.51  % (30355)Instruction limit reached!
% 0.22/0.51  % (30355)------------------------------
% 0.22/0.51  % (30355)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51  % (30355)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51  % (30355)Termination reason: Time limit
% 0.22/0.51  % (30355)Termination phase: Saturation
% 0.22/0.51  
% 0.22/0.51  % (30355)Memory used [KB]: 2362
% 0.22/0.51  % (30355)Time elapsed: 0.077 s
% 0.22/0.51  % (30355)Instructions burned: 148 (million)
% 0.22/0.53  % (30349)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.53  % (30390)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.22/0.53  % (30349)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.53  % (30394)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.22/0.55  % (30349)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.55  % (30408)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.22/0.57  % (30394)Instruction limit reached!
% 0.22/0.57  % (30394)------------------------------
% 0.22/0.57  % (30394)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.57  % (30394)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.57  % (30394)Termination reason: Time limit
% 0.22/0.57  % (30394)Termination phase: Saturation
% 0.22/0.57  
% 0.22/0.57  % (30394)Memory used [KB]: 1295
% 0.22/0.57  % (30394)Time elapsed: 0.047 s
% 0.22/0.57  % (30394)Instructions burned: 178 (million)
% 0.22/0.58  TRYING [7]
% 1.79/0.63  % (30349)Running in auto input_syntax mode. Trying TPTP
% 1.79/0.63  % (30440)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 1.99/0.65  TRYING [23]
% 1.99/0.66  % (30408)Instruction limit reached!
% 1.99/0.66  % (30408)------------------------------
% 1.99/0.66  % (30408)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.99/0.66  % (30408)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.99/0.66  % (30408)Termination reason: Time limit
% 1.99/0.66  % (30408)Termination phase: Saturation
% 1.99/0.66  
% 1.99/0.66  % (30408)Memory used [KB]: 1622
% 1.99/0.66  % (30408)Time elapsed: 0.113 s
% 1.99/0.66  % (30408)Instructions burned: 270 (million)
% 1.99/0.68  % (30390)Instruction limit reached!
% 1.99/0.68  % (30390)------------------------------
% 1.99/0.68  % (30390)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.99/0.68  % (30390)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.99/0.68  % (30390)Termination reason: Time limit
% 1.99/0.68  % (30390)Termination phase: Saturation
% 1.99/0.68  
% 1.99/0.68  % (30390)Memory used [KB]: 1679
% 1.99/0.68  % (30390)Time elapsed: 0.159 s
% 1.99/0.68  % (30390)Instructions burned: 405 (million)
% 2.42/0.72  % (30349)Running in auto input_syntax mode. Trying TPTP
% 2.42/0.72  % (30459)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.42/0.72  TRYING [1]
% 2.42/0.72  TRYING [2]
% 2.42/0.72  TRYING [3]
% 2.42/0.73  TRYING [4]
% 2.42/0.74  TRYING [5]
% 2.42/0.74  % (30349)Running in auto input_syntax mode. Trying TPTP
% 2.42/0.74  % (30460)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 2.42/0.76  TRYING [6]
% 2.71/0.81  TRYING [7]
% 2.71/0.84  TRYING [8]
% 3.32/0.91  TRYING [8]
% 3.32/0.93  % (30440)Instruction limit reached!
% 3.32/0.93  % (30440)------------------------------
% 3.32/0.93  % (30440)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.32/0.93  % (30440)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.32/0.93  % (30440)Termination reason: Time limit
% 3.32/0.93  % (30440)Termination phase: Saturation
% 3.32/0.93  
% 3.32/0.93  % (30440)Memory used [KB]: 2169
% 3.32/0.93  % (30440)Time elapsed: 0.303 s
% 3.32/0.93  % (30440)Instructions burned: 900 (million)
% 3.57/0.96  % (30349)Running in auto input_syntax mode. Trying TPTP
% 3.57/0.96  % (30519)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2994ds/1187Mi)
% 4.10/1.10  TRYING [9]
% 5.98/1.24  % (30519)Instruction limit reached!
% 5.98/1.24  % (30519)------------------------------
% 5.98/1.24  % (30519)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.98/1.24  % (30519)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.98/1.24  % (30519)Termination reason: Time limit
% 5.98/1.24  % (30519)Termination phase: Saturation
% 5.98/1.24  
% 5.98/1.24  % (30519)Memory used [KB]: 1668
% 5.98/1.24  % (30519)Time elapsed: 0.277 s
% 5.98/1.24  % (30519)Instructions burned: 1190 (million)
% 6.27/1.27  % (30349)Running in auto input_syntax mode. Trying TPTP
% 6.27/1.27  % (30636)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2991ds/23580Mi)
% 6.27/1.27  TRYING [1]
% 6.27/1.27  TRYING [2]
% 6.27/1.27  TRYING [3]
% 6.27/1.27  TRYING [4]
% 6.27/1.28  TRYING [5]
% 6.27/1.29  % (30460)Instruction limit reached!
% 6.27/1.29  % (30460)------------------------------
% 6.27/1.29  % (30460)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.27/1.29  % (30460)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.27/1.29  % (30460)Termination reason: Time limit
% 6.27/1.29  % (30460)Termination phase: Saturation
% 6.27/1.29  
% 6.27/1.29  % (30460)Memory used [KB]: 3609
% 6.27/1.29  % (30460)Time elapsed: 0.548 s
% 6.27/1.29  % (30460)Instructions burned: 2145 (million)
% 6.27/1.30  TRYING [6]
% 6.27/1.32  % (30349)Running in auto input_syntax mode. Trying TPTP
% 6.27/1.32  % (30653)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2990ds/2892Mi)
% 6.27/1.33  TRYING [7]
% 6.76/1.38  TRYING [17]
% 7.01/1.45  TRYING [9]
% 7.33/1.45  TRYING [10]
% 7.38/1.50  TRYING [8]
% 8.52/1.73  TRYING [9]
% 11.87/2.05  TRYING [11]
% 14.33/2.40  % (30653)Instruction limit reached!
% 14.33/2.40  % (30653)------------------------------
% 14.33/2.40  % (30653)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.33/2.40  % (30653)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.33/2.40  % (30653)Termination reason: Time limit
% 14.33/2.40  % (30653)Termination phase: Finite model building constraint generation
% 14.33/2.40  
% 14.33/2.40  % (30653)Memory used [KB]: 88707
% 14.33/2.40  % (30653)Time elapsed: 1.080 s
% 14.33/2.40  % (30653)Instructions burned: 2894 (million)
% 14.54/2.45  % (30349)Running in auto input_syntax mode. Trying TPTP
% 14.54/2.45  % (30695)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2979ds/1693Mi)
% 14.96/2.50  % (30459)Instruction limit reached!
% 14.96/2.50  % (30459)------------------------------
% 14.96/2.50  % (30459)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.96/2.50  % (30459)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.96/2.50  % (30459)Termination reason: Time limit
% 14.96/2.50  % (30459)Termination phase: Finite model building SAT solving
% 14.96/2.50  
% 14.96/2.50  % (30459)Memory used [KB]: 16630
% 14.96/2.50  % (30459)Time elapsed: 1.785 s
% 14.96/2.50  % (30459)Instructions burned: 7861 (million)
% 14.96/2.54  % (30349)Running in auto input_syntax mode. Trying TPTP
% 14.96/2.54  % (30696)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2978ds/1735Mi)
% 16.12/2.77  % (30696)First to succeed.
% 16.12/2.80  % (30696)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30349"
% 16.12/2.81  % (30349)Running in auto input_syntax mode. Trying TPTP
% 16.12/2.81  % (30696)Refutation found. Thanks to Tanya!
% 16.12/2.81  % SZS status Theorem for theBenchmark
% 16.12/2.81  % SZS output start Proof for theBenchmark
% See solution above
% 16.12/2.81  % (30696)------------------------------
% 16.12/2.81  % (30696)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.12/2.81  % (30696)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.12/2.81  % (30696)Termination reason: Refutation
% 16.12/2.81  
% 16.12/2.81  % (30696)Memory used [KB]: 8550
% 16.12/2.81  % (30696)Time elapsed: 0.290 s
% 16.12/2.81  % (30696)Instructions burned: 880 (million)
% 16.12/2.81  % (30696)------------------------------
% 16.12/2.81  % (30696)------------------------------
% 16.12/2.81  % (30349)Success in time 2.414 s
%------------------------------------------------------------------------------