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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM858+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:25:57 PM UTC 2026

% Result   : Theorem 6.72s 2.91s
% Output   : Refutation 6.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  241 (  12 unt;  11 def)
%            Number of atoms       :  730 (  54 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  899 ( 410   ~; 457   |;   7   &)
%                                         (  20 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  12 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :  218 (   0 sgn 215   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : lesseq(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_ref) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( lesseq(X0,X1)
        & lesseq(X1,X2) )
     => lesseq(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_trans) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ( lesseq(X0,X1)
        & lesseq(X1,X0) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_antisymmetric) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( lesseq(X0,X1)
      | lesseq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_total) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( max(X0,X1) = X0
      | ~ lesseq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_1) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( max(X0,X1) = X1
      | ~ lesseq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_2) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ub(X0,X1,X2)
    <=> ( lesseq(X0,X2)
        & lesseq(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ub) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( model_max(X0,X1,X2)
    <=> X2 = max(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_max_1) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( model_ub(X0,X1,X2)
    <=> ub(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_ub_1) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( minsol_model_max(X0,X1,X2)
    <=> ( model_max(X0,X1,X2)
        & ! [X3] :
            ( model_max(X0,X1,X3)
           => lesseq(X2,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_max) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <=> ( model_ub(X0,X1,X2)
        & ! [X3] :
            ( model_ub(X0,X1,X3)
           => lesseq(X2,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_ub) ).

fof(f14,conjecture,
    ! [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <=> minsol_model_max(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ub_1) ).

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

fof(f16,plain,
    ! [X0,X1,X2] :
      ( lesseq(X0,X2)
      | ~ lesseq(X0,X1)
      | ~ lesseq(X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( lesseq(X0,X2)
      | ~ lesseq(X0,X1)
      | ~ lesseq(X1,X2) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ lesseq(X0,X1)
      | ~ lesseq(X1,X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ lesseq(X0,X1)
      | ~ lesseq(X1,X0) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( minsol_model_max(X0,X1,X2)
    <=> ( model_max(X0,X1,X2)
        & ! [X3] :
            ( lesseq(X2,X3)
            | ~ model_max(X0,X1,X3) ) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <=> ( model_ub(X0,X1,X2)
        & ! [X3] :
            ( lesseq(X2,X3)
            | ~ model_ub(X0,X1,X3) ) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f22,plain,
    ? [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <~> minsol_model_max(X0,X1,X2) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f23,plain,
    ! [X0] : lesseq(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( lesseq(X0,X2)
      | ~ lesseq(X0,X1)
      | ~ lesseq(X1,X2) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ lesseq(X1,X0)
      | ~ lesseq(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f19]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( lesseq(X1,X0)
      | lesseq(X0,X1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ lesseq(X1,X0)
      | max(X0,X1) = X0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ lesseq(X0,X1)
      | max(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( lesseq(X1,X2)
      | ~ ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( lesseq(X0,X2)
      | ~ ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ub(X0,X1,X2)
      | ~ lesseq(X0,X2)
      | ~ lesseq(X1,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( max(X0,X1) != X2
      | model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( ~ model_max(X0,X1,X2)
      | max(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( model_ub(X0,X1,X2)
      | ~ ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ub(X0,X1,X2)
      | ~ model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( model_max(X0,X1,sK0(X0,X1,X2))
      | ~ model_max(X0,X1,X2)
      | minsol_model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( ~ lesseq(X2,sK0(X0,X1,X2))
      | ~ model_max(X0,X1,X2)
      | minsol_model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ minsol_model_max(X0,X1,X2)
      | model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( model_ub(X0,X1,sK1(X0,X1,X2))
      | ~ model_ub(X0,X1,X2)
      | minsol_model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( ~ lesseq(X2,sK1(X0,X1,X2))
      | ~ model_ub(X0,X1,X2)
      | minsol_model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1] :
      ( lesseq(X2,X3)
      | ~ model_ub(X0,X1,X3)
      | ~ minsol_model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ~ minsol_model_ub(X0,X1,X2)
      | model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f48,plain,
    ( minsol_model_max(sK2,sK3,sK4)
    | minsol_model_ub(sK2,sK3,sK4) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f49,plain,
    ( ~ minsol_model_max(sK2,sK3,sK4)
    | ~ minsol_model_ub(sK2,sK3,sK4) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f50,plain,
    ! [X0,X1] : model_max(X0,X1,max(X0,X1)),
    inference(equality_resolution,[],[f36]) ).

fof(f52,definition,
    ( spl5_1
  <=> minsol_model_ub(sK2,sK3,sK4) ),
    introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).

fof(f53,plain,
    ( ~ minsol_model_ub(sK2,sK3,sK4)
    | spl5_1 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f54,plain,
    ( minsol_model_ub(sK2,sK3,sK4)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f56,definition,
    ( spl5_2
  <=> minsol_model_max(sK2,sK3,sK4) ),
    introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).

fof(f57,plain,
    ( ~ minsol_model_max(sK2,sK3,sK4)
    | spl5_2 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f58,plain,
    ( minsol_model_max(sK2,sK3,sK4)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f59,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f48,f56,f52]) ).

fof(f60,plain,
    ( ~ minsol_model_ub(sK2,sK3,sK4)
    | ~ spl5_2 ),
    inference(forward_subsumption_resolution,[],[f49,f58]) ).

fof(f61,plain,
    ( ~ spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f60,f56,f52]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( ~ ub(X2,X1,X0)
      | max(X0,X1) = X0 ),
    inference(resolution,[],[f31,f33]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( lesseq(X0,X1)
      | max(X0,X1) = X0 ),
    inference(resolution,[],[f31,f26]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( ~ ub(X0,X2,X1)
      | max(X0,X1) = X1 ),
    inference(resolution,[],[f32,f34]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( lesseq(X1,X0)
      | max(X0,X1) = X1 ),
    inference(resolution,[],[f32,f26]) ).

fof(f78,plain,
    ( model_max(sK2,sK3,sK4)
    | ~ spl5_2 ),
    inference(resolution,[],[f43,f58]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( max(X0,X1) = X0
      | max(X0,X1) = X1 ),
    inference(resolution,[],[f70,f32]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( ~ ub(X0,X2,X1)
      | X0 = X1
      | ~ lesseq(X1,X0) ),
    inference(resolution,[],[f25,f34]) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( ~ ub(X2,X0,X1)
      | X0 = X1
      | ~ lesseq(X1,X0) ),
    inference(resolution,[],[f25,f33]) ).

fof(f110,plain,
    ( sK4 = max(sK2,sK3)
    | ~ spl5_2 ),
    inference(resolution,[],[f37,f78]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( ~ model_ub(X2,X1,X0)
      | max(X0,X1) = X0 ),
    inference(resolution,[],[f69,f39]) ).

fof(f145,plain,
    ! [X2,X0,X1] :
      ( ~ model_ub(X0,X2,X1)
      | max(X0,X1) = X1 ),
    inference(resolution,[],[f73,f39]) ).

fof(f156,plain,
    ! [X2,X3,X0,X1] :
      ( ~ lesseq(X3,sK1(X0,X1,X2))
      | minsol_model_ub(X0,X1,X2)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(resolution,[],[f45,f24]) ).

fof(f158,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ub(X3,X2,sK1(X0,X1,X2))
      | minsol_model_ub(X0,X1,X2)
      | ~ model_ub(X0,X1,X2) ),
    inference(resolution,[],[f45,f33]) ).

fof(f159,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ub(X2,X3,sK1(X0,X1,X2))
      | minsol_model_ub(X0,X1,X2)
      | ~ model_ub(X0,X1,X2) ),
    inference(resolution,[],[f45,f34]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( minsol_model_max(X0,X1,X2)
      | ~ model_max(X0,X1,X2)
      | max(X0,X1) = sK0(X0,X1,X2) ),
    inference(resolution,[],[f40,f37]) ).

fof(f170,plain,
    ! [X2,X0,X1] :
      ( ~ model_ub(X0,X2,X1)
      | ~ lesseq(X1,X0)
      | X0 = X1 ),
    inference(resolution,[],[f90,f39]) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( ~ model_ub(X2,X0,X1)
      | ~ lesseq(X1,X0)
      | X0 = X1 ),
    inference(resolution,[],[f91,f39]) ).

fof(f197,plain,
    ( sK2 = sK4
    | sK3 = sK4
    | ~ spl5_2 ),
    inference(superposition,[],[f86,f110]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( model_max(X0,X1,X0)
      | max(X0,X1) = X1 ),
    inference(superposition,[],[f50,f86]) ).

fof(f218,definition,
    ( spl5_3
  <=> sK3 = sK4 ),
    introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).

fof(f219,plain,
    ( sK3 != sK4
    | spl5_3 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f220,plain,
    ( sK3 = sK4
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f222,definition,
    ( spl5_4
  <=> sK2 = sK4 ),
    introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).

fof(f224,plain,
    ( sK2 = sK4
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f225,plain,
    ( spl5_3
    | spl5_4
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f197,f56,f222,f218]) ).

fof(f237,plain,
    ( ~ minsol_model_ub(sK2,sK3,sK3)
    | spl5_1
    | ~ spl5_3 ),
    inference(superposition,[],[f53,f220]) ).

fof(f712,plain,
    ! [X2,X3,X0,X1] :
      ( ~ model_ub(X3,X2,sK1(X0,X1,X2))
      | ~ model_ub(X0,X1,X2)
      | minsol_model_ub(X0,X1,X2) ),
    inference(resolution,[],[f158,f39]) ).

fof(f714,plain,
    ! [X2,X3,X0,X1] :
      ( ~ model_ub(X2,X3,sK1(X0,X1,X2))
      | ~ model_ub(X0,X1,X2)
      | minsol_model_ub(X0,X1,X2) ),
    inference(resolution,[],[f159,f39]) ).

fof(f802,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( minsol_model_ub(X0,X1,X2)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2)
      | ~ model_ub(X4,X5,sK1(X0,X1,X2))
      | ~ minsol_model_ub(X4,X5,X3) ),
    inference(resolution,[],[f156,f46]) ).

fof(f2345,definition,
    ( spl5_5
  <=> sK3 = sK0(sK2,sK3,sK3) ),
    introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).

fof(f2347,plain,
    ( sK3 = sK0(sK2,sK3,sK3)
    | ~ spl5_5 ),
    inference(avatar_component_clause,[],[f2345]) ).

fof(f2352,plain,
    ( minsol_model_ub(sK2,sK3,sK3)
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(forward_demodulation,[],[f54,f220]) ).

fof(f2353,plain,
    ( ~ minsol_model_max(sK2,sK3,sK3)
    | spl5_2
    | ~ spl5_3 ),
    inference(forward_demodulation,[],[f57,f220]) ).

fof(f2359,plain,
    ( model_ub(sK2,sK3,sK3)
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(resolution,[],[f2352,f47]) ).

fof(f2363,plain,
    ( sK3 = max(sK2,sK3)
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(resolution,[],[f2359,f145]) ).

fof(f2372,definition,
    ( spl5_8
  <=> model_max(sK2,sK3,sK3) ),
    introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).

fof(f2373,plain,
    ( model_max(sK2,sK3,sK3)
    | ~ spl5_8 ),
    inference(avatar_component_clause,[],[f2372]) ).

fof(f2374,plain,
    ( ~ model_max(sK2,sK3,sK3)
    | spl5_8 ),
    inference(avatar_component_clause,[],[f2372]) ).

fof(f2551,plain,
    ( model_max(sK2,sK3,sK3)
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(superposition,[],[f50,f2363]) ).

fof(f2552,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_3
    | spl5_8 ),
    inference(forward_subsumption_resolution,[],[f2551,f2374]) ).

fof(f2553,plain,
    ( ~ spl5_1
    | ~ spl5_3
    | spl5_8 ),
    inference(avatar_contradiction_clause,[],[f2552]) ).

fof(f2557,plain,
    ( model_ub(sK2,sK3,sK4)
    | ~ spl5_1 ),
    inference(resolution,[],[f54,f47]) ).

fof(f2558,plain,
    ( ~ model_max(sK2,sK3,sK4)
    | max(sK2,sK3) = sK0(sK2,sK3,sK4)
    | spl5_2 ),
    inference(resolution,[],[f57,f165]) ).

fof(f2563,plain,
    ( ~ lesseq(sK4,sK2)
    | sK2 = sK4
    | ~ spl5_1 ),
    inference(resolution,[],[f2557,f170]) ).

fof(f2564,plain,
    ( ~ lesseq(sK4,sK3)
    | sK3 = sK4
    | ~ spl5_1 ),
    inference(resolution,[],[f2557,f174]) ).

fof(f2565,plain,
    ( ~ lesseq(sK4,sK3)
    | ~ spl5_1
    | spl5_3 ),
    inference(forward_subsumption_resolution,[],[f2564,f219]) ).

fof(f2571,plain,
    ( ! [X0,X1] :
        ( ~ minsol_model_ub(X0,X1,sK4)
        | ~ model_ub(X0,X1,sK3) )
    | ~ spl5_1
    | spl5_3 ),
    inference(resolution,[],[f2565,f46]) ).

fof(f2615,definition,
    ( spl5_9
  <=> max(sK2,sK3) = sK0(sK2,sK3,sK4) ),
    introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).

fof(f2617,plain,
    ( max(sK2,sK3) = sK0(sK2,sK3,sK4)
    | ~ spl5_9 ),
    inference(avatar_component_clause,[],[f2615]) ).

fof(f2619,definition,
    ( spl5_10
  <=> model_max(sK2,sK3,sK4) ),
    introduced(definition,[new_symbols(definition,[spl5_10])],[avatar_definition]) ).

fof(f2620,plain,
    ( model_max(sK2,sK3,sK4)
    | ~ spl5_10 ),
    inference(avatar_component_clause,[],[f2619]) ).

fof(f2621,plain,
    ( ~ model_max(sK2,sK3,sK4)
    | spl5_10 ),
    inference(avatar_component_clause,[],[f2619]) ).

fof(f2622,plain,
    ( spl5_9
    | ~ spl5_10
    | spl5_2 ),
    inference(avatar_split_clause,[],[f2558,f56,f2619,f2615]) ).

fof(f3832,definition,
    ( spl5_11
  <=> lesseq(sK4,sK2) ),
    introduced(definition,[new_symbols(definition,[spl5_11])],[avatar_definition]) ).

fof(f3833,plain,
    ( lesseq(sK4,sK2)
    | ~ spl5_11 ),
    inference(avatar_component_clause,[],[f3832]) ).

fof(f3834,plain,
    ( ~ lesseq(sK4,sK2)
    | spl5_11 ),
    inference(avatar_component_clause,[],[f3832]) ).

fof(f3835,plain,
    ( spl5_4
    | ~ spl5_11
    | ~ spl5_1 ),
    inference(avatar_split_clause,[],[f2563,f52,f3832,f222]) ).

fof(f3836,plain,
    ( ! [X0] :
        ( ~ lesseq(sK4,X0)
        | ~ lesseq(X0,sK2) )
    | spl5_11 ),
    inference(resolution,[],[f3834,f24]) ).

fof(f3841,plain,
    ( ! [X0,X1] :
        ( ~ minsol_model_ub(X0,X1,sK4)
        | ~ model_ub(X0,X1,sK2) )
    | spl5_11 ),
    inference(resolution,[],[f3834,f46]) ).

fof(f6121,plain,
    ( ~ model_ub(sK2,sK3,sK3)
    | ~ spl5_1
    | spl5_3 ),
    inference(resolution,[],[f2571,f54]) ).

fof(f6124,plain,
    ( ~ ub(sK2,sK3,sK3)
    | ~ spl5_1
    | spl5_3 ),
    inference(resolution,[],[f6121,f38]) ).

fof(f6127,plain,
    ( ~ lesseq(sK2,sK3)
    | ~ lesseq(sK3,sK3)
    | ~ spl5_1
    | spl5_3 ),
    inference(resolution,[],[f6124,f35]) ).

fof(f6129,plain,
    ( ~ lesseq(sK2,sK3)
    | ~ spl5_1
    | spl5_3 ),
    inference(forward_subsumption_resolution,[],[f6127,f23]) ).

fof(f6133,plain,
    ( ! [X0] :
        ( ~ lesseq(sK2,X0)
        | ~ lesseq(X0,sK3) )
    | ~ spl5_1
    | spl5_3 ),
    inference(resolution,[],[f6129,f24]) ).

fof(f6253,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,[],[f712,f44]) ).

fof(f6255,plain,
    ! [X0,X1] :
      ( minsol_model_ub(X0,X1,X1)
      | ~ model_ub(X0,X1,X1) ),
    inference(duplicate_literal_removal,[],[f6253]) ).

fof(f6256,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,[],[f714,f44]) ).

fof(f6258,plain,
    ! [X0,X1] :
      ( minsol_model_ub(X0,X1,X0)
      | ~ model_ub(X0,X1,X0) ),
    inference(duplicate_literal_removal,[],[f6256]) ).

fof(f6297,plain,
    ( ! [X0] :
        ( lesseq(sK3,X0)
        | ~ lesseq(sK2,X0) )
    | ~ spl5_1
    | spl5_3 ),
    inference(resolution,[],[f6133,f26]) ).

fof(f8188,plain,
    ( ~ model_ub(sK2,sK3,sK2)
    | ~ spl5_1
    | spl5_11 ),
    inference(resolution,[],[f3841,f54]) ).

fof(f8191,plain,
    ( ~ ub(sK2,sK3,sK2)
    | ~ spl5_1
    | spl5_11 ),
    inference(resolution,[],[f8188,f38]) ).

fof(f8237,plain,
    ( ~ lesseq(sK2,sK2)
    | ~ lesseq(sK3,sK2)
    | ~ spl5_1
    | spl5_11 ),
    inference(resolution,[],[f8191,f35]) ).

fof(f8239,plain,
    ( ~ lesseq(sK2,sK2)
    | ~ spl5_1
    | spl5_3
    | spl5_11 ),
    inference(forward_subsumption_resolution,[],[f8237,f6297]) ).

fof(f8240,plain,
    ( $false
    | ~ spl5_1
    | spl5_3
    | spl5_11 ),
    inference(forward_subsumption_resolution,[],[f8239,f23]) ).

fof(f8241,plain,
    ( ~ spl5_1
    | spl5_3
    | spl5_11 ),
    inference(avatar_contradiction_clause,[],[f8240]) ).

fof(f8250,plain,
    ( ! [X0] :
        ( ~ lesseq(sK3,X0)
        | ~ lesseq(X0,sK2) )
    | ~ spl5_3
    | spl5_11 ),
    inference(superposition,[],[f3836,f220]) ).

fof(f8263,plain,
    ( minsol_model_max(sK2,sK3,sK3)
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(forward_demodulation,[],[f58,f220]) ).

fof(f8317,plain,
    ( model_max(sK2,sK3,sK3)
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(resolution,[],[f8263,f43]) ).

fof(f8330,plain,
    ( spl5_8
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(avatar_split_clause,[],[f8317,f218,f56,f2372]) ).

fof(f8331,plain,
    ( sK3 = max(sK2,sK3)
    | ~ spl5_8 ),
    inference(resolution,[],[f2373,f37]) ).

fof(f9814,plain,
    ( ! [X0] :
        ( lesseq(sK2,X0)
        | ~ lesseq(sK3,X0) )
    | ~ spl5_3
    | spl5_11 ),
    inference(resolution,[],[f8250,f26]) ).

fof(f10744,plain,
    ( ~ lesseq(sK3,sK3)
    | ~ model_max(sK2,sK3,sK3)
    | minsol_model_max(sK2,sK3,sK3)
    | ~ spl5_5 ),
    inference(superposition,[],[f41,f2347]) ).

fof(f27996,plain,
    ( ! [X2,X0,X1] :
        ( ~ lesseq(sK4,X0)
        | ~ model_ub(sK2,sK3,sK4)
        | ~ model_ub(X1,X2,sK1(sK2,sK3,sK4))
        | ~ minsol_model_ub(X1,X2,X0) )
    | spl5_1 ),
    inference(resolution,[],[f802,f53]) ).

fof(f27998,plain,
    ( ! [X2,X0,X1] :
        ( ~ lesseq(sK3,X0)
        | ~ model_ub(sK2,sK3,sK4)
        | ~ model_ub(X1,X2,sK1(sK2,sK3,sK4))
        | ~ minsol_model_ub(X1,X2,X0) )
    | spl5_1
    | ~ spl5_3 ),
    inference(forward_demodulation,[],[f27996,f220]) ).

fof(f28000,plain,
    ( ! [X2,X0,X1] :
        ( ~ model_ub(sK2,sK3,sK3)
        | ~ lesseq(sK3,X0)
        | ~ model_ub(X1,X2,sK1(sK2,sK3,sK4))
        | ~ minsol_model_ub(X1,X2,X0) )
    | spl5_1
    | ~ spl5_3 ),
    inference(forward_demodulation,[],[f27998,f220]) ).

fof(f28002,plain,
    ( ! [X2,X0,X1] :
        ( ~ model_ub(X1,X2,sK1(sK2,sK3,sK3))
        | ~ model_ub(sK2,sK3,sK3)
        | ~ lesseq(sK3,X0)
        | ~ minsol_model_ub(X1,X2,X0) )
    | spl5_1
    | ~ spl5_3 ),
    inference(forward_demodulation,[],[f28000,f220]) ).

fof(f33474,definition,
    ( spl5_15
  <=> model_ub(sK2,sK3,sK3) ),
    introduced(definition,[new_symbols(definition,[spl5_15])],[avatar_definition]) ).

fof(f33475,plain,
    ( model_ub(sK2,sK3,sK3)
    | ~ spl5_15 ),
    inference(avatar_component_clause,[],[f33474]) ).

fof(f33476,plain,
    ( ~ model_ub(sK2,sK3,sK3)
    | spl5_15 ),
    inference(avatar_component_clause,[],[f33474]) ).

fof(f33482,plain,
    ( ~ ub(sK2,sK3,sK3)
    | spl5_15 ),
    inference(resolution,[],[f33476,f38]) ).

fof(f33483,plain,
    ( ~ lesseq(sK2,sK3)
    | ~ lesseq(sK3,sK3)
    | spl5_15 ),
    inference(resolution,[],[f33482,f35]) ).

fof(f33485,plain,
    ( ~ lesseq(sK3,sK3)
    | ~ spl5_3
    | spl5_11
    | spl5_15 ),
    inference(forward_subsumption_resolution,[],[f33483,f9814]) ).

fof(f33486,plain,
    ( $false
    | ~ spl5_3
    | spl5_11
    | spl5_15 ),
    inference(forward_subsumption_resolution,[],[f33485,f23]) ).

fof(f33487,plain,
    ( ~ spl5_3
    | spl5_11
    | spl5_15 ),
    inference(avatar_contradiction_clause,[],[f33486]) ).

fof(f35545,plain,
    ( ! [X2,X0,X1] :
        ( ~ model_ub(X1,X2,sK1(sK2,sK3,sK3))
        | ~ minsol_model_ub(X1,X2,X0)
        | ~ lesseq(sK3,X0) )
    | spl5_1
    | ~ spl5_3
    | ~ spl5_15 ),
    inference(forward_subsumption_resolution,[],[f28002,f33475]) ).

fof(f35546,plain,
    ( ! [X0] :
        ( ~ minsol_model_ub(sK2,sK3,X0)
        | ~ lesseq(sK3,X0)
        | ~ model_ub(sK2,sK3,sK3)
        | minsol_model_ub(sK2,sK3,sK3) )
    | spl5_1
    | ~ spl5_3
    | ~ spl5_15 ),
    inference(resolution,[],[f35545,f44]) ).

fof(f35560,plain,
    ( ! [X0] :
        ( ~ minsol_model_ub(sK2,sK3,X0)
        | ~ lesseq(sK3,X0)
        | minsol_model_ub(sK2,sK3,sK3) )
    | spl5_1
    | ~ spl5_3
    | ~ spl5_15 ),
    inference(forward_subsumption_resolution,[],[f35546,f33475]) ).

fof(f35561,plain,
    ( ! [X0] :
        ( ~ minsol_model_ub(sK2,sK3,X0)
        | ~ lesseq(sK3,X0) )
    | spl5_1
    | ~ spl5_3
    | ~ spl5_15 ),
    inference(forward_subsumption_resolution,[],[f35560,f237]) ).

fof(f35881,plain,
    ( ~ model_ub(sK2,sK3,sK3)
    | ~ lesseq(sK3,sK3)
    | spl5_1
    | ~ spl5_3
    | ~ spl5_15 ),
    inference(resolution,[],[f6255,f35561]) ).

fof(f35882,plain,
    ( ~ lesseq(sK3,sK3)
    | spl5_1
    | ~ spl5_3
    | ~ spl5_15 ),
    inference(forward_subsumption_resolution,[],[f35881,f33475]) ).

fof(f35887,plain,
    ( $false
    | spl5_1
    | ~ spl5_3
    | ~ spl5_15 ),
    inference(forward_subsumption_resolution,[],[f35882,f23]) ).

fof(f35888,plain,
    ( spl5_1
    | ~ spl5_3
    | ~ spl5_15 ),
    inference(avatar_contradiction_clause,[],[f35887]) ).

fof(f35891,plain,
    ( lesseq(sK3,sK2)
    | ~ spl5_3
    | ~ spl5_11 ),
    inference(forward_demodulation,[],[f3833,f220]) ).

fof(f35912,plain,
    ( sK2 = max(sK2,sK3)
    | ~ spl5_3
    | ~ spl5_11 ),
    inference(resolution,[],[f35891,f31]) ).

fof(f35966,plain,
    ( ~ lesseq(sK2,sK3)
    | ~ lesseq(sK3,sK3)
    | spl5_15 ),
    inference(resolution,[],[f33482,f35]) ).

fof(f35968,plain,
    ( ~ lesseq(sK2,sK3)
    | spl5_15 ),
    inference(forward_subsumption_resolution,[],[f35966,f23]) ).

fof(f36106,plain,
    ( sK2 = sK3
    | ~ spl5_3
    | ~ spl5_8
    | ~ spl5_11 ),
    inference(superposition,[],[f35912,f8331]) ).

fof(f36182,plain,
    ( ~ lesseq(sK2,sK2)
    | ~ spl5_3
    | ~ spl5_8
    | ~ spl5_11
    | spl5_15 ),
    inference(superposition,[],[f35968,f36106]) ).

fof(f36187,plain,
    ( $false
    | ~ spl5_3
    | ~ spl5_8
    | ~ spl5_11
    | spl5_15 ),
    inference(forward_subsumption_resolution,[],[f36182,f23]) ).

fof(f36188,plain,
    ( ~ spl5_3
    | ~ spl5_8
    | ~ spl5_11
    | spl5_15 ),
    inference(avatar_contradiction_clause,[],[f36187]) ).

fof(f36203,plain,
    ( ~ model_max(sK2,sK3,sK3)
    | ~ spl5_3
    | spl5_10 ),
    inference(forward_demodulation,[],[f2621,f220]) ).

fof(f36212,plain,
    ( ~ model_max(sK2,sK3,sK3)
    | minsol_model_max(sK2,sK3,sK3)
    | ~ spl5_5 ),
    inference(forward_subsumption_resolution,[],[f10744,f23]) ).

fof(f36239,plain,
    ( $false
    | ~ spl5_3
    | ~ spl5_8
    | spl5_10 ),
    inference(forward_subsumption_resolution,[],[f36203,f2373]) ).

fof(f36240,plain,
    ( ~ spl5_3
    | ~ spl5_8
    | spl5_10 ),
    inference(avatar_contradiction_clause,[],[f36239]) ).

fof(f36248,plain,
    ( minsol_model_max(sK2,sK3,sK3)
    | ~ spl5_5
    | ~ spl5_8 ),
    inference(forward_subsumption_resolution,[],[f36212,f2373]) ).

fof(f36465,plain,
    ( sK2 != sK3
    | spl5_3
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f219,f224]) ).

fof(f36478,plain,
    ( model_ub(sK2,sK3,sK2)
    | ~ spl5_1
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f2557,f224]) ).

fof(f36479,plain,
    ( ~ minsol_model_max(sK2,sK3,sK2)
    | spl5_2
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f57,f224]) ).

fof(f36484,plain,
    ( max(sK2,sK3) = sK0(sK2,sK3,sK2)
    | ~ spl5_4
    | ~ spl5_9 ),
    inference(forward_demodulation,[],[f2617,f224]) ).

fof(f36485,plain,
    ( model_max(sK2,sK3,sK2)
    | ~ spl5_4
    | ~ spl5_10 ),
    inference(forward_demodulation,[],[f2620,f224]) ).

fof(f36774,plain,
    ( sK3 = sK0(sK2,sK3,sK4)
    | ~ spl5_8
    | ~ spl5_9 ),
    inference(forward_demodulation,[],[f2617,f8331]) ).

fof(f36914,plain,
    ( sK3 = sK0(sK2,sK3,sK3)
    | ~ spl5_3
    | ~ spl5_8
    | ~ spl5_9 ),
    inference(forward_demodulation,[],[f36774,f220]) ).

fof(f37599,plain,
    ( $false
    | spl5_2
    | ~ spl5_3
    | ~ spl5_5
    | ~ spl5_8 ),
    inference(forward_subsumption_resolution,[],[f36248,f2353]) ).

fof(f37600,plain,
    ( spl5_2
    | ~ spl5_3
    | ~ spl5_5
    | ~ spl5_8 ),
    inference(avatar_contradiction_clause,[],[f37599]) ).

fof(f37609,plain,
    ( spl5_5
    | ~ spl5_3
    | ~ spl5_8
    | ~ spl5_9 ),
    inference(avatar_split_clause,[],[f36914,f2615,f2372,f218,f2345]) ).

fof(f37722,plain,
    ( sK2 = max(sK2,sK3)
    | ~ spl5_1
    | ~ spl5_4 ),
    inference(resolution,[],[f36478,f137]) ).

fof(f37833,plain,
    ( ~ lesseq(sK2,max(sK2,sK3))
    | ~ model_max(sK2,sK3,sK2)
    | minsol_model_max(sK2,sK3,sK2)
    | ~ spl5_4
    | ~ spl5_9 ),
    inference(superposition,[],[f41,f36484]) ).

fof(f37895,plain,
    ( ~ lesseq(sK2,max(sK2,sK3))
    | minsol_model_max(sK2,sK3,sK2)
    | ~ spl5_4
    | ~ spl5_9
    | ~ spl5_10 ),
    inference(forward_subsumption_resolution,[],[f37833,f36485]) ).

fof(f37926,plain,
    ( ~ lesseq(sK2,max(sK2,sK3))
    | spl5_2
    | ~ spl5_4
    | ~ spl5_9
    | ~ spl5_10 ),
    inference(forward_subsumption_resolution,[],[f37895,f36479]) ).

fof(f37966,plain,
    ( ~ lesseq(sK2,sK2)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_4
    | ~ spl5_9
    | ~ spl5_10 ),
    inference(forward_demodulation,[],[f37926,f37722]) ).

fof(f37967,plain,
    ( $false
    | ~ spl5_1
    | spl5_2
    | ~ spl5_4
    | ~ spl5_9
    | ~ spl5_10 ),
    inference(forward_subsumption_resolution,[],[f37966,f23]) ).

fof(f37968,plain,
    ( ~ spl5_1
    | spl5_2
    | ~ spl5_4
    | ~ spl5_9
    | ~ spl5_10 ),
    inference(avatar_contradiction_clause,[],[f37967]) ).

fof(f37969,plain,
    ( ~ model_max(sK2,sK3,sK2)
    | ~ spl5_4
    | spl5_10 ),
    inference(forward_demodulation,[],[f2621,f224]) ).

fof(f38035,plain,
    ( sK3 = max(sK2,sK3)
    | ~ spl5_4
    | spl5_10 ),
    inference(resolution,[],[f37969,f199]) ).

fof(f38036,plain,
    ( sK2 = sK3
    | ~ spl5_1
    | ~ spl5_4
    | spl5_10 ),
    inference(forward_demodulation,[],[f38035,f37722]) ).

fof(f38037,plain,
    ( $false
    | ~ spl5_1
    | spl5_3
    | ~ spl5_4
    | spl5_10 ),
    inference(forward_subsumption_resolution,[],[f38036,f36465]) ).

fof(f38038,plain,
    ( ~ spl5_1
    | spl5_3
    | ~ spl5_4
    | spl5_10 ),
    inference(avatar_contradiction_clause,[],[f38037]) ).

fof(f38039,plain,
    ( ~ minsol_model_ub(sK2,sK3,sK2)
    | spl5_1
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f53,f224]) ).

fof(f38042,plain,
    ( model_max(sK2,sK3,sK2)
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f78,f224]) ).

fof(f38058,plain,
    ( ! [X2,X0,X1] :
        ( ~ lesseq(sK2,X0)
        | ~ model_ub(sK2,sK3,sK2)
        | ~ model_ub(X1,X2,sK1(sK2,sK3,sK2))
        | ~ minsol_model_ub(X1,X2,X0) )
    | spl5_1
    | ~ spl5_4 ),
    inference(resolution,[],[f38039,f802]) ).

fof(f38190,plain,
    ( sK2 = max(sK2,sK3)
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(resolution,[],[f38042,f37]) ).

fof(f38242,definition,
    ( spl5_18
  <=> model_ub(sK2,sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl5_18])],[avatar_definition]) ).

fof(f38243,plain,
    ( model_ub(sK2,sK3,sK2)
    | ~ spl5_18 ),
    inference(avatar_component_clause,[],[f38242]) ).

fof(f38244,plain,
    ( ~ model_ub(sK2,sK3,sK2)
    | spl5_18 ),
    inference(avatar_component_clause,[],[f38242]) ).

fof(f38246,plain,
    ( ~ ub(sK2,sK3,sK2)
    | spl5_18 ),
    inference(resolution,[],[f38244,f38]) ).

fof(f38247,plain,
    ( ~ lesseq(sK2,sK2)
    | ~ lesseq(sK3,sK2)
    | spl5_18 ),
    inference(resolution,[],[f38246,f35]) ).

fof(f38249,plain,
    ( ~ lesseq(sK3,sK2)
    | spl5_18 ),
    inference(forward_subsumption_resolution,[],[f38247,f23]) ).

fof(f40006,plain,
    ( ! [X2,X0,X1] :
        ( ~ model_ub(X1,X2,sK1(sK2,sK3,sK2))
        | ~ minsol_model_ub(X1,X2,X0)
        | ~ lesseq(sK2,X0) )
    | spl5_1
    | ~ spl5_4
    | ~ spl5_18 ),
    inference(forward_subsumption_resolution,[],[f38058,f38243]) ).

fof(f40007,plain,
    ( ! [X0] :
        ( ~ minsol_model_ub(sK2,sK3,X0)
        | ~ lesseq(sK2,X0)
        | ~ model_ub(sK2,sK3,sK2)
        | minsol_model_ub(sK2,sK3,sK2) )
    | spl5_1
    | ~ spl5_4
    | ~ spl5_18 ),
    inference(resolution,[],[f40006,f44]) ).

fof(f40022,plain,
    ( ! [X0] :
        ( ~ minsol_model_ub(sK2,sK3,X0)
        | ~ lesseq(sK2,X0)
        | minsol_model_ub(sK2,sK3,sK2) )
    | spl5_1
    | ~ spl5_4
    | ~ spl5_18 ),
    inference(forward_subsumption_resolution,[],[f40007,f38243]) ).

fof(f40023,plain,
    ( ! [X0] :
        ( ~ minsol_model_ub(sK2,sK3,X0)
        | ~ lesseq(sK2,X0) )
    | spl5_1
    | ~ spl5_4
    | ~ spl5_18 ),
    inference(forward_subsumption_resolution,[],[f40022,f38039]) ).

fof(f40584,plain,
    ( ~ model_ub(sK2,sK3,sK2)
    | ~ lesseq(sK2,sK2)
    | spl5_1
    | ~ spl5_4
    | ~ spl5_18 ),
    inference(resolution,[],[f6258,f40023]) ).

fof(f40589,plain,
    ( ~ lesseq(sK2,sK2)
    | spl5_1
    | ~ spl5_4
    | ~ spl5_18 ),
    inference(forward_subsumption_resolution,[],[f40584,f38243]) ).

fof(f40594,plain,
    ( $false
    | spl5_1
    | ~ spl5_4
    | ~ spl5_18 ),
    inference(forward_subsumption_resolution,[],[f40589,f23]) ).

fof(f40595,plain,
    ( spl5_1
    | ~ spl5_4
    | ~ spl5_18 ),
    inference(avatar_contradiction_clause,[],[f40594]) ).

fof(f40603,plain,
    ( sK3 = max(sK2,sK3)
    | spl5_18 ),
    inference(resolution,[],[f38249,f75]) ).

fof(f40646,plain,
    ( sK2 = sK3
    | ~ spl5_2
    | ~ spl5_4
    | spl5_18 ),
    inference(forward_demodulation,[],[f40603,f38190]) ).

fof(f40647,plain,
    ( $false
    | ~ spl5_2
    | spl5_3
    | ~ spl5_4
    | spl5_18 ),
    inference(forward_subsumption_resolution,[],[f40646,f36465]) ).

fof(f40648,plain,
    ( ~ spl5_2
    | spl5_3
    | ~ spl5_4
    | spl5_18 ),
    inference(avatar_contradiction_clause,[],[f40647]) ).

cnf(s1,plain,
    ( spl5_1
    | spl5_2 ),
    inference(sat_conversion,[],[f59]) ).

cnf(s2,plain,
    ( ~ spl5_1
    | ~ spl5_2 ),
    inference(sat_conversion,[],[f61]) ).

cnf(s3,plain,
    ( ~ spl5_2
    | spl5_3
    | spl5_4 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s6,plain,
    ( ~ spl5_1
    | ~ spl5_3
    | spl5_8 ),
    inference(sat_conversion,[],[f2553]) ).

cnf(s7,plain,
    ( spl5_2
    | spl5_9
    | ~ spl5_10 ),
    inference(sat_conversion,[],[f2622]) ).

cnf(s8,plain,
    ( ~ spl5_1
    | spl5_4
    | ~ spl5_11 ),
    inference(sat_conversion,[],[f3835]) ).

cnf(s9,plain,
    ( ~ spl5_1
    | spl5_3
    | spl5_11 ),
    inference(sat_conversion,[],[f8241]) ).

cnf(s12,plain,
    ( ~ spl5_2
    | ~ spl5_3
    | spl5_8 ),
    inference(sat_conversion,[],[f8330]) ).

cnf(s17,plain,
    ( ~ spl5_3
    | spl5_11
    | spl5_15 ),
    inference(sat_conversion,[],[f33487]) ).

cnf(s20,plain,
    ( spl5_1
    | ~ spl5_3
    | ~ spl5_15 ),
    inference(sat_conversion,[],[f35888]) ).

cnf(s22,plain,
    ( ~ spl5_3
    | ~ spl5_8
    | ~ spl5_11
    | spl5_15 ),
    inference(sat_conversion,[],[f36188]) ).

cnf(s23,plain,
    ( ~ spl5_3
    | ~ spl5_8
    | spl5_10 ),
    inference(sat_conversion,[],[f36240]) ).

cnf(s32,plain,
    ( spl5_2
    | ~ spl5_3
    | ~ spl5_5
    | ~ spl5_8 ),
    inference(sat_conversion,[],[f37600]) ).

cnf(s33,plain,
    ( ~ spl5_3
    | spl5_5
    | ~ spl5_8
    | ~ spl5_9 ),
    inference(sat_conversion,[],[f37609]) ).

cnf(s34,plain,
    ( ~ spl5_1
    | spl5_2
    | ~ spl5_4
    | ~ spl5_9
    | ~ spl5_10 ),
    inference(sat_conversion,[],[f37968]) ).

cnf(s35,plain,
    ( ~ spl5_1
    | spl5_3
    | ~ spl5_4
    | spl5_10 ),
    inference(sat_conversion,[],[f38038]) ).

cnf(s39,plain,
    ( spl5_1
    | ~ spl5_4
    | ~ spl5_18 ),
    inference(sat_conversion,[],[f40595]) ).

cnf(s40,plain,
    ( ~ spl5_2
    | spl5_3
    | ~ spl5_4
    | spl5_18 ),
    inference(sat_conversion,[],[f40648]) ).

cnf(s41,plain,
    ( spl5_3
    | spl5_1 ),
    inference(rat,[],[s40,s39,s3,s1]) ).

cnf(s42,plain,
    spl5_1,
    inference(rat,[],[s22,s17,s12,s20,s41,s1]) ).

cnf(s43,plain,
    ~ spl5_2,
    inference(rat,[],[s2,s42]) ).

cnf(s44,plain,
    ( ~ spl5_4
    | ~ spl5_10 ),
    inference(rat,[],[s7,s34,s42,s43]) ).

cnf(s45,plain,
    ( ~ spl5_4
    | spl5_3 ),
    inference(rat,[],[s44,s35,s42]) ).

cnf(s46,plain,
    spl5_3,
    inference(rat,[],[s45,s8,s9,s42]) ).

cnf(s48,plain,
    spl5_8,
    inference(rat,[],[s6,s42,s46]) ).

cnf(s49,plain,
    ~ spl5_5,
    inference(rat,[],[s32,s48,s43,s46]) ).

cnf(s51,plain,
    spl5_10,
    inference(rat,[],[s23,s46,s48]) ).

cnf(s53,plain,
    ~ spl5_9,
    inference(rat,[],[s33,s48,s46,s49]) ).

cnf(s54,plain,
    $false,
    inference(rat,[],[s7,s43,s51,s53]) ).

fof(f40649,plain,
    $false,
    inference(avatar_sat_refutation,[],[s54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM858+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n007.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 21:34:00 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.45/2.66  % (1796496)Will run a generic schedule for satisfiability detection.
% 15.45/2.66  % (1796505)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1724054901:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.45/2.66  % (1796502)% WARNING: option uhcvi not known.
% 15.45/2.66  % (1796502)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2792875655:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.45/2.66  % (1796501)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2051526929_2999 on theBenchmark for (2999ds/0Mi)
% 15.45/2.66  % (1796507)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=982792297:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.45/2.66  % (1796503)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3868148115:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.45/2.66  % (1796504)dis+10_1_sil=32000:sp=arity:random_seed=1448358927:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.45/2.66  % (1796506)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3122556575:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.45/2.66  % TRYING [1]
% 15.45/2.66  % TRYING [2]
% 15.45/2.66  % TRYING [3]
% 15.45/2.66  % TRYING [4]
% 15.45/2.66  % TRYING [5]
% 15.45/2.66  % (1796505)Instruction limit reached! 
% 15.45/2.66  % (1796505)------------------------------
% 15.45/2.66  % (1796505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.45/2.66  % (1796505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/2.66  % (1796505)CaDiCaL version: 2.1.3
% 15.45/2.66  % (1796505)Termination reason: Instruction limit
% 15.45/2.66  % (1796505)Termination phase: Saturation
% 15.45/2.66  % (1796505)Time elapsed: 0.039 s
% 15.45/2.66  % (1796505)Peak memory usage: 12 MB
% 15.45/2.66  % (1796505)Instructions burned: 119 (million)
% 15.45/2.66  % TRYING [6]
% 15.45/2.66  % (1796515)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2446899164:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.45/2.66  % TRYING [1]
% 15.45/2.66  % TRYING [2]
% 15.45/2.66  % TRYING [3]
% 15.45/2.66  % TRYING [4]
% 15.45/2.66  % TRYING [5]
% 15.45/2.66  % (1796504)Instruction limit reached! 
% 15.45/2.66  % (1796504)------------------------------
% 15.45/2.66  % (1796504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.45/2.66  % (1796504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/2.66  % (1796504)CaDiCaL version: 2.1.3
% 15.45/2.66  % (1796504)Termination reason: Instruction limit
% 15.45/2.66  % (1796504)Termination phase: Saturation
% 15.45/2.66  % (1796504)Time elapsed: 0.061 s
% 15.45/2.66  % (1796504)Peak memory usage: 12 MB
% 15.45/2.66  % (1796504)Instructions burned: 104 (million)
% 15.45/2.66  % TRYING [6]
% 15.45/2.66  % (1796517)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=981803818:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.45/2.66  % (1796506)Instruction limit reached! 
% 15.45/2.66  % (1796506)------------------------------
% 15.45/2.66  % (1796506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.45/2.66  % (1796506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/2.66  % (1796506)CaDiCaL version: 2.1.3
% 15.45/2.66  % (1796506)Termination reason: Instruction limit
% 15.45/2.66  % (1796506)Termination phase: Saturation
% 15.45/2.66  % (1796506)Time elapsed: 0.082 s
% 15.45/2.66  % (1796506)Peak memory usage: 12 MB
% 15.45/2.66  % (1796506)Instructions burned: 131 (million)
% 15.45/2.66  % (1796519)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1538131329:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.45/2.66  % (1796507)Instruction limit reached! 
% 15.45/2.66  % (1796507)------------------------------
% 15.45/2.66  % (1796507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.45/2.66  % (1796507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/2.66  % (1796507)CaDiCaL version: 2.1.3
% 15.45/2.66  % (1796507)Termination reason: Instruction limit
% 15.45/2.66  % (1796507)Termination phase: Saturation
% 15.45/2.66  % (1796507)Time elapsed: 0.103 s
% 15.45/2.66  % (1796507)Peak memory usage: 12 MB
% 15.45/2.66  % (1796507)Instructions burned: 159 (million)
% 15.45/2.66  % TRYING [7]
% 15.45/2.66  % (1796521)ott-21_1_sil=16000:fs=off:random_seed=2061311067:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.45/2.66  % TRYING [7]
% 15.45/2.66  % (1796517)Instruction limit reached! 
% 15.45/2.66  % (1796517)------------------------------
% 15.45/2.66  % (1796517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796517)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796517)Termination reason: Instruction limit
% 6.72/2.91  % (1796517)Termination phase: Saturation
% 6.72/2.91  % (1796517)Time elapsed: 0.071 s
% 6.72/2.91  % (1796517)Peak memory usage: 12 MB
% 6.72/2.91  % (1796517)Instructions burned: 133 (million)
% 6.72/2.91  % (1796523)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2558260195:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.72/2.91  % (1796521)Instruction limit reached! 
% 6.72/2.91  % (1796521)------------------------------
% 6.72/2.91  % (1796521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796521)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796521)Termination reason: Instruction limit
% 6.72/2.91  % (1796521)Termination phase: Saturation
% 6.72/2.91  % (1796521)Time elapsed: 0.082 s
% 6.72/2.91  % (1796521)Peak memory usage: 12 MB
% 6.72/2.91  % (1796521)Instructions burned: 181 (million)
% 6.72/2.91  % (1796515)Instruction limit reached! 
% 6.72/2.91  % (1796515)------------------------------
% 6.72/2.91  % (1796515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796515)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796515)Termination reason: Instruction limit
% 6.72/2.91  % (1796515)Termination phase: Finite model building SAT solving
% 6.72/2.91  % (1796515)Time elapsed: 0.174 s
% 6.72/2.91  % (1796515)Peak memory usage: 24 MB
% 6.72/2.91  % (1796515)Instructions burned: 718 (million)
% 6.72/2.91  % (1796525)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1691474088:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.72/2.91  % TRYING [1]
% 6.72/2.91  % TRYING [2]
% 6.72/2.91  % TRYING [3]
% 6.72/2.91  % (1796526)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1259093632:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.72/2.91  % TRYING [4]
% 6.72/2.91  % TRYING [5]
% 6.72/2.91  % TRYING [6]
% 6.72/2.91  % TRYING [8]
% 6.72/2.91  % TRYING [7]
% 6.72/2.91  % (1796519)Instruction limit reached! 
% 6.72/2.91  % (1796519)------------------------------
% 6.72/2.91  % (1796519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796519)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796519)Termination reason: Instruction limit
% 6.72/2.91  % (1796519)Termination phase: Saturation
% 6.72/2.91  % (1796519)Time elapsed: 0.379 s
% 6.72/2.91  % (1796519)Peak memory usage: 16 MB
% 6.72/2.91  % (1796519)Instructions burned: 684 (million)
% 6.72/2.91  % (1796523)Instruction limit reached! 
% 6.72/2.91  % (1796523)------------------------------
% 6.72/2.91  % (1796523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796523)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796523)Termination reason: Instruction limit
% 6.72/2.91  % (1796523)Termination phase: Saturation
% 6.72/2.91  % (1796523)Time elapsed: 0.318 s
% 6.72/2.91  % (1796523)Peak memory usage: 13 MB
% 6.72/2.91  % (1796523)Instructions burned: 477 (million)
% 6.72/2.91  % (1796529)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3576284428:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.72/2.91  % (1796530)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3950368202:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.72/2.91  % TRYING [14]
% 6.72/2.91  % (1796526)Instruction limit reached! 
% 6.72/2.91  % (1796526)------------------------------
% 6.72/2.91  % (1796526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796526)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796526)Termination reason: Instruction limit
% 6.72/2.91  % (1796526)Termination phase: Saturation
% 6.72/2.91  % (1796526)Time elapsed: 0.372 s
% 6.72/2.91  % (1796526)Peak memory usage: 17 MB
% 6.72/2.91  % (1796526)Instructions burned: 1183 (million)
% 6.72/2.91  % (1796533)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3268357239:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.72/2.91  % (1796525)Instruction limit reached! 
% 6.72/2.91  % (1796525)------------------------------
% 6.72/2.91  % (1796525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796525)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796525)Termination reason: Instruction limit
% 6.72/2.91  % (1796525)Termination phase: Finite model building SAT solving
% 6.72/2.91  % (1796525)Time elapsed: 0.398 s
% 6.72/2.91  % (1796525)Peak memory usage: 18 MB
% 6.72/2.91  % (1796525)Instructions burned: 865 (million)
% 6.72/2.91  % (1796535)fmb+10_1_sil=64000:random_seed=3026402953:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 6.72/2.91  % TRYING [1]
% 6.72/2.91  % TRYING [2]
% 6.72/2.91  % TRYING [3]
% 6.72/2.91  % TRYING [4]
% 6.72/2.91  % TRYING [5]
% 6.72/2.91  % TRYING [6]
% 6.72/2.91  % TRYING [7]
% 6.72/2.91  % (1796533)Instruction limit reached! 
% 6.72/2.91  % (1796533)------------------------------
% 6.72/2.91  % (1796533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796533)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796533)Termination reason: Instruction limit
% 6.72/2.91  % (1796533)Termination phase: Saturation
% 6.72/2.91  % (1796533)Time elapsed: 0.273 s
% 6.72/2.91  % (1796533)Peak memory usage: 17 MB
% 6.72/2.91  % (1796533)Instructions burned: 879 (million)
% 6.72/2.91  % (1796530)Instruction limit reached! 
% 6.72/2.91  % (1796530)------------------------------
% 6.72/2.91  % (1796530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796530)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796530)Termination reason: Instruction limit
% 6.72/2.91  % (1796530)Termination phase: Saturation
% 6.72/2.91  % (1796530)Time elapsed: 0.376 s
% 6.72/2.91  % (1796530)Peak memory usage: 17 MB
% 6.72/2.91  % (1796530)Instructions burned: 693 (million)
% 6.72/2.91  % (1796537)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=987167906:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.72/2.91  % TRYING [20]
% 6.72/2.91  % (1796529)Instruction limit reached! 
% 6.72/2.91  % (1796529)------------------------------
% 6.72/2.91  % (1796529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796529)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796529)Termination reason: Instruction limit
% 6.72/2.91  % (1796529)Termination phase: Finite model building constraint generation
% 6.72/2.91  % (1796529)Time elapsed: 0.403 s
% 6.72/2.91  % (1796529)Peak memory usage: 73 MB
% 6.72/2.91  % (1796529)Instructions burned: 889 (million)
% 6.72/2.91  % (1796538)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2137507069:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 6.72/2.91  % TRYING [8]
% 6.72/2.91  % (1796541)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1900167365:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 6.72/2.91  % TRYING [8]
% 6.72/2.91  % (1796538)Instruction limit reached! 
% 6.72/2.91  % (1796538)------------------------------
% 6.72/2.91  % (1796538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796538)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796538)Termination reason: Instruction limit
% 6.72/2.91  % (1796538)Termination phase: Finite model building SAT solving
% 6.72/2.91  % (1796538)Time elapsed: 0.499 s
% 6.72/2.91  % (1796538)Peak memory usage: 30 MB
% 6.72/2.91  % (1796538)Instructions burned: 920 (million)
% 6.72/2.91  % (1796543)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1533560961:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 6.72/2.91  % TRYING [9]
% 6.72/2.91  % (1796543)Instruction limit reached! 
% 6.72/2.91  % (1796543)------------------------------
% 6.72/2.91  % (1796543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.91  % (1796543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.91  % (1796543)CaDiCaL version: 2.1.3
% 6.72/2.91  % (1796543)Termination reason: Instruction limit
% 6.72/2.91  % (1796543)Termination phase: Saturation
% 6.72/2.91  % (1796543)Time elapsed: 0.756 s
% 6.72/2.91  % (1796543)Peak memory usage: 20 MB
% 6.72/2.91  % (1796543)Instructions burned: 1474 (million)
% 6.72/2.91  % (1796545)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1646594247:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 6.72/2.91  % TRYING [77]
% 6.72/2.91  % TRYING [9]
% 6.72/2.91  % (1796541) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1796496-1796541"...
% 6.72/2.91  % (1796541)...printing done.
% 6.72/2.91  % (1796541)Refutation found. Thanks to Tanya!
% 6.72/2.91  % SZS status Theorem for theBenchmark
% 6.72/2.91  % SZS output start Proof for theBenchmark
% See solution above
% 6.72/2.92  % (1796541)------------------------------
% 6.72/2.92  % (1796541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/2.92  % (1796541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.92  % (1796541)CaDiCaL version: 2.1.3
% 6.72/2.92  % (1796541)Termination reason: Refutation
% 6.72/2.92  % (1796541)Time elapsed: 1.492 s
% 6.72/2.92  % (1796541)Peak memory usage: 21 MB
% 6.72/2.92  % (1796541)Instructions burned: 2848 (million)
% 6.72/2.92  % (1796496)Success in time 2.492 s
% 6.72/2.92  % Vampire exiting
%------------------------------------------------------------------------------