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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MGT001+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n008.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 12:02:25 PM UTC 2026

% Result   : Theorem 0.17s 0.48s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  126 (  24 unt;   8 def)
%            Number of atoms       :  625 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  922 ( 423   ~; 403   |;  74   &)
%                                         (  14 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   9 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  411 (   0 sgn 389   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : reliability(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : accountability(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : reproducibility(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( organization(X0,X8)
        & organization(X1,X9)
        & reliability(X0,X2,X8)
        & reliability(X1,X3,X9)
        & accountability(X0,X4,X8)
        & accountability(X1,X5,X9)
        & survival_chance(X0,X6,X8)
        & survival_chance(X1,X7,X9)
        & greater(X3,X2)
        & greater(X5,X4) )
     => greater(X7,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_FOL) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( organization(X0,X2)
        & organization(X1,X3)
        & reliability(X0,X4,X2)
        & reliability(X1,X5,X3)
        & accountability(X0,X6,X2)
        & accountability(X1,X7,X3)
        & reproducibility(X0,X8,X2)
        & reproducibility(X1,X9,X3) )
     => ( greater(X9,X8)
      <=> ( greater(X5,X4)
          & greater(X7,X6) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL) ).

fof(f6,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( organization(X0,X2)
        & organization(X1,X3)
        & reorganization_free(X0,X2,X2)
        & reorganization_free(X1,X3,X3)
        & reproducibility(X0,X4,X2)
        & reproducibility(X1,X5,X3)
        & inertia(X0,X6,X2)
        & inertia(X1,X7,X3) )
     => ( greater(X5,X4)
      <=> greater(X7,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL) ).

fof(f7,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( organization(X0,X2)
        & organization(X1,X3)
        & reorganization_free(X0,X2,X2)
        & reorganization_free(X1,X3,X3)
        & inertia(X0,X4,X2)
        & inertia(X1,X5,X3)
        & survival_chance(X0,X6,X2)
        & survival_chance(X1,X7,X3)
        & greater(X5,X4) )
     => greater(X7,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL) ).

fof(f8,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( ( organization(X0,X2)
          & organization(X1,X3)
          & reorganization_free(X0,X2,X2)
          & reorganization_free(X1,X3,X3)
          & inertia(X0,X4,X2)
          & inertia(X1,X5,X3)
          & survival_chance(X0,X6,X2)
          & survival_chance(X1,X7,X3)
          & greater(X5,X4) )
       => greater(X7,X6) ),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ? [X2] : reliability(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ? [X2] : accountability(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ? [X2] : reproducibility(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( greater(X7,X6)
      | ~ organization(X0,X8)
      | ~ organization(X1,X9)
      | ~ reliability(X0,X2,X8)
      | ~ reliability(X1,X3,X9)
      | ~ accountability(X0,X4,X8)
      | ~ accountability(X1,X5,X9)
      | ~ survival_chance(X0,X6,X8)
      | ~ survival_chance(X1,X7,X9)
      | ~ greater(X3,X2)
      | ~ greater(X5,X4) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( greater(X7,X6)
      | ~ organization(X0,X8)
      | ~ organization(X1,X9)
      | ~ reliability(X0,X2,X8)
      | ~ reliability(X1,X3,X9)
      | ~ accountability(X0,X4,X8)
      | ~ accountability(X1,X5,X9)
      | ~ survival_chance(X0,X6,X8)
      | ~ survival_chance(X1,X7,X9)
      | ~ greater(X3,X2)
      | ~ greater(X5,X4) ),
    inference(flattening,[],[f12]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( greater(X9,X8)
      <=> ( greater(X5,X4)
          & greater(X7,X6) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( greater(X9,X8)
      <=> ( greater(X5,X4)
          & greater(X7,X6) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(flattening,[],[f14]) ).

fof(f16,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( greater(X5,X4)
      <=> greater(X7,X6) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reorganization_free(X0,X2,X2)
      | ~ reorganization_free(X1,X3,X3)
      | ~ reproducibility(X0,X4,X2)
      | ~ reproducibility(X1,X5,X3)
      | ~ inertia(X0,X6,X2)
      | ~ inertia(X1,X7,X3) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( greater(X5,X4)
      <=> greater(X7,X6) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reorganization_free(X0,X2,X2)
      | ~ reorganization_free(X1,X3,X3)
      | ~ reproducibility(X0,X4,X2)
      | ~ reproducibility(X1,X5,X3)
      | ~ inertia(X0,X6,X2)
      | ~ inertia(X1,X7,X3) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ greater(X7,X6)
      & organization(X0,X2)
      & organization(X1,X3)
      & reorganization_free(X0,X2,X2)
      & reorganization_free(X1,X3,X3)
      & inertia(X0,X4,X2)
      & inertia(X1,X5,X3)
      & survival_chance(X0,X6,X2)
      & survival_chance(X1,X7,X3)
      & greater(X5,X4) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f19,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ greater(X7,X6)
      & organization(X0,X2)
      & organization(X1,X3)
      & reorganization_free(X0,X2,X2)
      & reorganization_free(X1,X3,X3)
      & inertia(X0,X4,X2)
      & inertia(X1,X5,X3)
      & survival_chance(X0,X6,X2)
      & survival_chance(X1,X7,X3)
      & greater(X5,X4) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( reliability(X0,sK0(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f9]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( accountability(X0,sK1(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f10]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( reproducibility(X0,sK2(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f11]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( ( greater(X9,X8)
          | ~ greater(X5,X4)
          | ~ greater(X7,X6) )
        & ( ( greater(X5,X4)
            & greater(X7,X6) )
          | ~ greater(X9,X8) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( ( greater(X9,X8)
          | ~ greater(X5,X4)
          | ~ greater(X7,X6) )
        & ( ( greater(X5,X4)
            & greater(X7,X6) )
          | ~ greater(X9,X8) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( greater(X5,X4)
          | ~ greater(X7,X6) )
        & ( greater(X7,X6)
          | ~ greater(X5,X4) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reorganization_free(X0,X2,X2)
      | ~ reorganization_free(X1,X3,X3)
      | ~ reproducibility(X0,X4,X2)
      | ~ reproducibility(X1,X5,X3)
      | ~ inertia(X0,X6,X2)
      | ~ inertia(X1,X7,X3) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f26,plain,
    ( ~ greater(sK10,sK9)
    & organization(sK3,sK5)
    & organization(sK4,sK6)
    & reorganization_free(sK3,sK5,sK5)
    & reorganization_free(sK4,sK6,sK6)
    & inertia(sK3,sK7,sK5)
    & inertia(sK4,sK8,sK6)
    & survival_chance(sK3,sK9,sK5)
    & survival_chance(sK4,sK10,sK6)
    & greater(sK8,sK7) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10)],[f19]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( reliability(X0,sK0(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( accountability(X0,sK1(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( reproducibility(X0,sK2(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ survival_chance(X1,X7,X9)
      | ~ organization(X0,X8)
      | ~ organization(X1,X9)
      | ~ reliability(X0,X2,X8)
      | ~ reliability(X1,X3,X9)
      | ~ accountability(X0,X4,X8)
      | ~ accountability(X1,X5,X9)
      | ~ survival_chance(X0,X6,X8)
      | greater(X7,X6)
      | ~ greater(X3,X2)
      | ~ greater(X5,X4) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ reproducibility(X1,X9,X3)
      | ~ greater(X9,X8)
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | greater(X7,X6) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ reproducibility(X1,X9,X3)
      | ~ greater(X9,X8)
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | greater(X5,X4) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f35,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ inertia(X1,X7,X3)
      | ~ greater(X7,X6)
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reorganization_free(X0,X2,X2)
      | ~ reorganization_free(X1,X3,X3)
      | ~ reproducibility(X0,X4,X2)
      | ~ reproducibility(X1,X5,X3)
      | ~ inertia(X0,X6,X2)
      | greater(X5,X4) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f36,plain,
    greater(sK8,sK7),
    inference(cnf_transformation,[],[f26]) ).

fof(f37,plain,
    survival_chance(sK4,sK10,sK6),
    inference(cnf_transformation,[],[f26]) ).

fof(f38,plain,
    survival_chance(sK3,sK9,sK5),
    inference(cnf_transformation,[],[f26]) ).

fof(f39,plain,
    inertia(sK4,sK8,sK6),
    inference(cnf_transformation,[],[f26]) ).

fof(f40,plain,
    inertia(sK3,sK7,sK5),
    inference(cnf_transformation,[],[f26]) ).

fof(f41,plain,
    reorganization_free(sK4,sK6,sK6),
    inference(cnf_transformation,[],[f26]) ).

fof(f42,plain,
    reorganization_free(sK3,sK5,sK5),
    inference(cnf_transformation,[],[f26]) ).

fof(f43,plain,
    organization(sK4,sK6),
    inference(cnf_transformation,[],[f26]) ).

fof(f44,plain,
    organization(sK3,sK5),
    inference(cnf_transformation,[],[f26]) ).

fof(f45,plain,
    ~ greater(sK10,sK9),
    inference(cnf_transformation,[],[f26]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(sK2(X0,X1),X2)
      | ~ organization(X3,X4)
      | ~ organization(X0,X1)
      | ~ reliability(X3,X5,X4)
      | ~ reliability(X0,X6,X1)
      | ~ accountability(X3,X7,X4)
      | ~ accountability(X0,X8,X1)
      | ~ reproducibility(X3,X2,X4)
      | greater(X8,X7)
      | ~ organization(X0,X1) ),
    inference(resolution,[],[f31,f29]) ).

fof(f47,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(sK2(X0,X1),X2)
      | ~ organization(X3,X4)
      | ~ organization(X0,X1)
      | ~ reliability(X3,X5,X4)
      | ~ reliability(X0,X6,X1)
      | ~ accountability(X3,X7,X4)
      | ~ accountability(X0,X8,X1)
      | ~ reproducibility(X3,X2,X4)
      | greater(X8,X7) ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f48,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(sK2(X0,X1),X2)
      | ~ organization(X3,X4)
      | ~ organization(X0,X1)
      | ~ reliability(X3,X5,X4)
      | ~ reliability(X0,X6,X1)
      | ~ accountability(X3,X7,X4)
      | ~ accountability(X0,X8,X1)
      | ~ reproducibility(X3,X2,X4)
      | greater(X6,X5)
      | ~ organization(X0,X1) ),
    inference(resolution,[],[f32,f29]) ).

fof(f49,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(sK2(X0,X1),X2)
      | ~ organization(X3,X4)
      | ~ organization(X0,X1)
      | ~ reliability(X3,X5,X4)
      | ~ reliability(X0,X6,X1)
      | ~ accountability(X3,X7,X4)
      | ~ accountability(X0,X8,X1)
      | ~ reproducibility(X3,X2,X4)
      | greater(X6,X5) ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f78,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ greater(sK8,X0)
      | ~ organization(X1,X2)
      | ~ organization(sK4,sK6)
      | ~ reorganization_free(X1,X2,X2)
      | ~ reorganization_free(sK4,sK6,sK6)
      | ~ reproducibility(X1,X3,X2)
      | ~ reproducibility(sK4,X4,sK6)
      | ~ inertia(X1,X0,X2)
      | greater(X4,X3) ),
    inference(resolution,[],[f35,f39]) ).

fof(f81,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ greater(sK8,X0)
      | ~ organization(X1,X2)
      | ~ reorganization_free(X1,X2,X2)
      | ~ reorganization_free(sK4,sK6,sK6)
      | ~ reproducibility(X1,X3,X2)
      | ~ reproducibility(sK4,X4,sK6)
      | ~ inertia(X1,X0,X2)
      | greater(X4,X3) ),
    inference(forward_subsumption_resolution,[],[f78,f43]) ).

fof(f83,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ inertia(X1,X0,X2)
      | ~ organization(X1,X2)
      | ~ reorganization_free(X1,X2,X2)
      | ~ reproducibility(X1,X3,X2)
      | ~ reproducibility(sK4,X4,sK6)
      | ~ greater(sK8,X0)
      | greater(X4,X3) ),
    inference(forward_subsumption_resolution,[],[f81,f41]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(sK4,sK6)
      | ~ reliability(X0,X2,X1)
      | ~ reliability(sK4,X3,sK6)
      | ~ accountability(X0,X4,X1)
      | ~ accountability(sK4,X5,sK6)
      | ~ survival_chance(X0,X6,X1)
      | greater(sK10,X6)
      | ~ greater(X3,X2)
      | ~ greater(X5,X4) ),
    inference(resolution,[],[f30,f37]) ).

fof(f87,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ survival_chance(X0,X6,X1)
      | ~ reliability(X0,X2,X1)
      | ~ reliability(sK4,X3,sK6)
      | ~ accountability(X0,X4,X1)
      | ~ accountability(sK4,X5,sK6)
      | ~ organization(X0,X1)
      | greater(sK10,X6)
      | ~ greater(X3,X2)
      | ~ greater(X5,X4) ),
    inference(forward_subsumption_resolution,[],[f84,f43]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ organization(sK3,sK5)
      | ~ reorganization_free(sK3,sK5,sK5)
      | ~ reproducibility(sK3,X0,sK5)
      | ~ reproducibility(sK4,X1,sK6)
      | ~ greater(sK8,sK7)
      | greater(X1,X0) ),
    inference(resolution,[],[f83,f40]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ reorganization_free(sK3,sK5,sK5)
      | ~ reproducibility(sK3,X0,sK5)
      | ~ reproducibility(sK4,X1,sK6)
      | ~ greater(sK8,sK7)
      | greater(X1,X0) ),
    inference(forward_subsumption_resolution,[],[f117,f44]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ reproducibility(sK3,X0,sK5)
      | ~ reproducibility(sK4,X1,sK6)
      | ~ greater(sK8,sK7)
      | greater(X1,X0) ),
    inference(forward_subsumption_resolution,[],[f118,f42]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ~ reproducibility(sK4,X1,sK6)
      | ~ reproducibility(sK3,X0,sK5)
      | greater(X1,X0) ),
    inference(forward_subsumption_resolution,[],[f120,f36]) ).

fof(f153,plain,
    ! [X2,X3,X0,X1] :
      ( ~ reliability(sK3,X0,sK5)
      | ~ reliability(sK4,X1,sK6)
      | ~ accountability(sK3,X2,sK5)
      | ~ accountability(sK4,X3,sK6)
      | ~ organization(sK3,sK5)
      | greater(sK10,sK9)
      | ~ greater(X1,X0)
      | ~ greater(X3,X2) ),
    inference(resolution,[],[f87,f38]) ).

fof(f154,plain,
    ! [X2,X3,X0,X1] :
      ( ~ reliability(sK3,X0,sK5)
      | ~ reliability(sK4,X1,sK6)
      | ~ accountability(sK3,X2,sK5)
      | ~ accountability(sK4,X3,sK6)
      | greater(sK10,sK9)
      | ~ greater(X1,X0)
      | ~ greater(X3,X2) ),
    inference(forward_subsumption_resolution,[],[f153,f44]) ).

fof(f156,plain,
    ! [X2,X3,X0,X1] :
      ( ~ reliability(sK3,X0,sK5)
      | ~ reliability(sK4,X1,sK6)
      | ~ accountability(sK3,X2,sK5)
      | ~ accountability(sK4,X3,sK6)
      | ~ greater(X1,X0)
      | ~ greater(X3,X2) ),
    inference(forward_subsumption_resolution,[],[f154,f45]) ).

fof(f169,definition,
    ( spl11_17
  <=> ! [X2,X3] :
        ( ~ accountability(sK3,X2,sK5)
        | ~ accountability(sK4,X3,sK6)
        | ~ greater(X3,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl11_17])],[avatar_definition]) ).

fof(f170,plain,
    ( ! [X2,X3] :
        ( ~ accountability(sK4,X3,sK6)
        | ~ accountability(sK3,X2,sK5)
        | ~ greater(X3,X2) )
    | ~ spl11_17 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f172,definition,
    ( spl11_18
  <=> ! [X0,X1] :
        ( ~ reliability(sK3,X0,sK5)
        | ~ reliability(sK4,X1,sK6)
        | ~ greater(X1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl11_18])],[avatar_definition]) ).

fof(f173,plain,
    ( ! [X0,X1] :
        ( ~ reliability(sK4,X1,sK6)
        | ~ reliability(sK3,X0,sK5)
        | ~ greater(X1,X0) )
    | ~ spl11_18 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f174,plain,
    ( spl11_17
    | spl11_18 ),
    inference(avatar_split_clause,[],[f156,f172,f169]) ).

fof(f177,plain,
    ! [X0] :
      ( ~ reproducibility(sK3,X0,sK5)
      | greater(sK2(sK4,sK6),X0)
      | ~ organization(sK4,sK6) ),
    inference(resolution,[],[f122,f29]) ).

fof(f178,plain,
    ! [X0] :
      ( greater(sK2(sK4,sK6),X0)
      | ~ reproducibility(sK3,X0,sK5) ),
    inference(forward_subsumption_resolution,[],[f177,f43]) ).

fof(f195,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ reproducibility(sK3,X0,sK5)
      | ~ organization(X1,X2)
      | ~ organization(sK4,sK6)
      | ~ reliability(X1,X3,X2)
      | ~ reliability(sK4,X4,sK6)
      | ~ accountability(X1,X5,X2)
      | ~ accountability(sK4,X6,sK6)
      | ~ reproducibility(X1,X0,X2)
      | greater(X4,X3) ),
    inference(resolution,[],[f178,f49]) ).

fof(f196,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ reproducibility(sK3,X0,sK5)
      | ~ organization(X1,X2)
      | ~ organization(sK4,sK6)
      | ~ reliability(X1,X3,X2)
      | ~ reliability(sK4,X4,sK6)
      | ~ accountability(X1,X5,X2)
      | ~ accountability(sK4,X6,sK6)
      | ~ reproducibility(X1,X0,X2)
      | greater(X6,X5) ),
    inference(resolution,[],[f178,f47]) ).

fof(f197,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ reproducibility(sK3,X0,sK5)
      | ~ organization(X1,X2)
      | ~ reliability(X1,X3,X2)
      | ~ reliability(sK4,X4,sK6)
      | ~ accountability(X1,X5,X2)
      | ~ accountability(sK4,X6,sK6)
      | ~ reproducibility(X1,X0,X2)
      | greater(X6,X5) ),
    inference(forward_subsumption_resolution,[],[f196,f43]) ).

fof(f198,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ reproducibility(sK3,X0,sK5)
      | ~ organization(X1,X2)
      | ~ reliability(X1,X3,X2)
      | ~ reliability(sK4,X4,sK6)
      | ~ accountability(X1,X5,X2)
      | ~ accountability(sK4,X6,sK6)
      | ~ reproducibility(X1,X0,X2)
      | greater(X4,X3) ),
    inference(forward_subsumption_resolution,[],[f195,f43]) ).

fof(f200,definition,
    ( spl11_21
  <=> ! [X4] : ~ reliability(sK4,X4,sK6) ),
    introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).

fof(f201,plain,
    ( ! [X4] : ~ reliability(sK4,X4,sK6)
    | ~ spl11_21 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f203,definition,
    ( spl11_22
  <=> ! [X5,X3,X0,X6,X2,X1] :
        ( ~ reproducibility(sK3,X0,sK5)
        | ~ reproducibility(X1,X0,X2)
        | ~ accountability(sK4,X6,sK6)
        | greater(X6,X5)
        | ~ accountability(X1,X5,X2)
        | ~ organization(X1,X2)
        | ~ reliability(X1,X3,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl11_22])],[avatar_definition]) ).

fof(f204,plain,
    ( ! [X2,X3,X0,X1,X6,X5] :
        ( ~ reproducibility(sK3,X0,sK5)
        | ~ reproducibility(X1,X0,X2)
        | ~ accountability(sK4,X6,sK6)
        | greater(X6,X5)
        | ~ accountability(X1,X5,X2)
        | ~ organization(X1,X2)
        | ~ reliability(X1,X3,X2) )
    | ~ spl11_22 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f205,plain,
    ( spl11_21
    | spl11_22 ),
    inference(avatar_split_clause,[],[f197,f203,f200]) ).

fof(f207,definition,
    ( spl11_23
  <=> ! [X6] : ~ accountability(sK4,X6,sK6) ),
    introduced(definition,[new_symbols(definition,[spl11_23])],[avatar_definition]) ).

fof(f208,plain,
    ( ! [X6] : ~ accountability(sK4,X6,sK6)
    | ~ spl11_23 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f210,definition,
    ( spl11_24
  <=> ! [X5,X4,X0,X3,X2,X1] :
        ( ~ reproducibility(sK3,X0,sK5)
        | ~ reproducibility(X1,X0,X2)
        | ~ reliability(sK4,X4,sK6)
        | greater(X4,X3)
        | ~ reliability(X1,X3,X2)
        | ~ organization(X1,X2)
        | ~ accountability(X1,X5,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl11_24])],[avatar_definition]) ).

fof(f211,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ reproducibility(sK3,X0,sK5)
        | ~ reproducibility(X1,X0,X2)
        | ~ reliability(sK4,X4,sK6)
        | greater(X4,X3)
        | ~ reliability(X1,X3,X2)
        | ~ organization(X1,X2)
        | ~ accountability(X1,X5,X2) )
    | ~ spl11_24 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f212,plain,
    ( spl11_23
    | spl11_24 ),
    inference(avatar_split_clause,[],[f198,f210,f207]) ).

fof(f215,plain,
    ( ~ organization(sK4,sK6)
    | ~ spl11_21 ),
    inference(resolution,[],[f201,f27]) ).

fof(f216,plain,
    ( $false
    | ~ spl11_21 ),
    inference(forward_subsumption_resolution,[],[f215,f43]) ).

fof(f217,plain,
    ~ spl11_21,
    inference(avatar_contradiction_clause,[],[f216]) ).

fof(f236,plain,
    ( ~ organization(sK4,sK6)
    | ~ spl11_23 ),
    inference(resolution,[],[f208,f28]) ).

fof(f237,plain,
    ( $false
    | ~ spl11_23 ),
    inference(forward_subsumption_resolution,[],[f236,f43]) ).

fof(f238,plain,
    ~ spl11_23,
    inference(avatar_contradiction_clause,[],[f237]) ).

fof(f253,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ reproducibility(X0,sK2(sK3,sK5),X1)
        | ~ accountability(sK4,X2,sK6)
        | greater(X2,X3)
        | ~ accountability(X0,X3,X1)
        | ~ organization(X0,X1)
        | ~ reliability(X0,X4,X1)
        | ~ organization(sK3,sK5) )
    | ~ spl11_22 ),
    inference(resolution,[],[f204,f29]) ).

fof(f254,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ reproducibility(X0,sK2(sK3,sK5),X1)
        | ~ accountability(sK4,X2,sK6)
        | greater(X2,X3)
        | ~ accountability(X0,X3,X1)
        | ~ organization(X0,X1)
        | ~ reliability(X0,X4,X1) )
    | ~ spl11_22 ),
    inference(forward_subsumption_resolution,[],[f253,f44]) ).

fof(f255,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ reproducibility(X0,sK2(sK3,sK5),X1)
        | ~ reliability(sK4,X2,sK6)
        | greater(X2,X3)
        | ~ reliability(X0,X3,X1)
        | ~ organization(X0,X1)
        | ~ accountability(X0,X4,X1)
        | ~ organization(sK3,sK5) )
    | ~ spl11_24 ),
    inference(resolution,[],[f211,f29]) ).

fof(f256,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ reproducibility(X0,sK2(sK3,sK5),X1)
        | ~ reliability(sK4,X2,sK6)
        | greater(X2,X3)
        | ~ reliability(X0,X3,X1)
        | ~ organization(X0,X1)
        | ~ accountability(X0,X4,X1) )
    | ~ spl11_24 ),
    inference(forward_subsumption_resolution,[],[f255,f44]) ).

fof(f257,plain,
    ( ! [X2,X0,X1] :
        ( ~ accountability(sK4,X0,sK6)
        | greater(X0,X1)
        | ~ accountability(sK3,X1,sK5)
        | ~ organization(sK3,sK5)
        | ~ reliability(sK3,X2,sK5)
        | ~ organization(sK3,sK5) )
    | ~ spl11_22 ),
    inference(resolution,[],[f254,f29]) ).

fof(f258,plain,
    ( ! [X2,X0,X1] :
        ( ~ accountability(sK4,X0,sK6)
        | greater(X0,X1)
        | ~ accountability(sK3,X1,sK5)
        | ~ organization(sK3,sK5)
        | ~ reliability(sK3,X2,sK5) )
    | ~ spl11_22 ),
    inference(duplicate_literal_removal,[],[f257]) ).

fof(f259,plain,
    ( ! [X2,X0,X1] :
        ( ~ accountability(sK4,X0,sK6)
        | greater(X0,X1)
        | ~ accountability(sK3,X1,sK5)
        | ~ reliability(sK3,X2,sK5) )
    | ~ spl11_22 ),
    inference(forward_subsumption_resolution,[],[f258,f44]) ).

fof(f260,plain,
    ( ! [X2,X0,X1] :
        ( ~ accountability(sK4,X0,sK6)
        | ~ accountability(sK3,X1,sK5)
        | ~ reliability(sK3,X2,sK5) )
    | ~ spl11_17
    | ~ spl11_22 ),
    inference(forward_subsumption_resolution,[],[f259,f170]) ).

fof(f262,definition,
    ( spl11_30
  <=> ! [X2] : ~ reliability(sK3,X2,sK5) ),
    introduced(definition,[new_symbols(definition,[spl11_30])],[avatar_definition]) ).

fof(f263,plain,
    ( ! [X2] : ~ reliability(sK3,X2,sK5)
    | ~ spl11_30 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f265,definition,
    ( spl11_31
  <=> ! [X1] : ~ accountability(sK3,X1,sK5) ),
    introduced(definition,[new_symbols(definition,[spl11_31])],[avatar_definition]) ).

fof(f266,plain,
    ( ! [X1] : ~ accountability(sK3,X1,sK5)
    | ~ spl11_31 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f267,plain,
    ( spl11_30
    | spl11_31
    | spl11_23
    | ~ spl11_17
    | ~ spl11_22 ),
    inference(avatar_split_clause,[],[f260,f203,f169,f207,f265,f262]) ).

fof(f274,plain,
    ( ~ organization(sK3,sK5)
    | ~ spl11_30 ),
    inference(resolution,[],[f263,f27]) ).

fof(f275,plain,
    ( $false
    | ~ spl11_30 ),
    inference(forward_subsumption_resolution,[],[f274,f44]) ).

fof(f276,plain,
    ~ spl11_30,
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f296,plain,
    ( ~ organization(sK3,sK5)
    | ~ spl11_31 ),
    inference(resolution,[],[f266,f28]) ).

fof(f297,plain,
    ( $false
    | ~ spl11_31 ),
    inference(forward_subsumption_resolution,[],[f296,f44]) ).

fof(f298,plain,
    ~ spl11_31,
    inference(avatar_contradiction_clause,[],[f297]) ).

fof(f310,plain,
    ( ! [X2,X0,X1] :
        ( ~ reliability(sK4,X0,sK6)
        | greater(X0,X1)
        | ~ reliability(sK3,X1,sK5)
        | ~ organization(sK3,sK5)
        | ~ accountability(sK3,X2,sK5)
        | ~ organization(sK3,sK5) )
    | ~ spl11_24 ),
    inference(resolution,[],[f256,f29]) ).

fof(f311,plain,
    ( ! [X2,X0,X1] :
        ( ~ reliability(sK4,X0,sK6)
        | greater(X0,X1)
        | ~ reliability(sK3,X1,sK5)
        | ~ organization(sK3,sK5)
        | ~ accountability(sK3,X2,sK5) )
    | ~ spl11_24 ),
    inference(duplicate_literal_removal,[],[f310]) ).

fof(f312,plain,
    ( ! [X2,X0,X1] :
        ( ~ reliability(sK4,X0,sK6)
        | greater(X0,X1)
        | ~ reliability(sK3,X1,sK5)
        | ~ accountability(sK3,X2,sK5) )
    | ~ spl11_24 ),
    inference(forward_subsumption_resolution,[],[f311,f44]) ).

fof(f313,plain,
    ( ! [X2,X0,X1] :
        ( ~ reliability(sK4,X0,sK6)
        | ~ reliability(sK3,X1,sK5)
        | ~ accountability(sK3,X2,sK5) )
    | ~ spl11_18
    | ~ spl11_24 ),
    inference(forward_subsumption_resolution,[],[f312,f173]) ).

fof(f314,plain,
    ( spl11_31
    | spl11_30
    | spl11_21
    | ~ spl11_18
    | ~ spl11_24 ),
    inference(avatar_split_clause,[],[f313,f210,f172,f200,f262,f265]) ).

cnf(s9,plain,
    ( spl11_17
    | spl11_18 ),
    inference(sat_conversion,[],[f174]) ).

cnf(s11,plain,
    ( spl11_21
    | spl11_22 ),
    inference(sat_conversion,[],[f205]) ).

cnf(s12,plain,
    ( spl11_23
    | spl11_24 ),
    inference(sat_conversion,[],[f212]) ).

cnf(s13,plain,
    ~ spl11_21,
    inference(sat_conversion,[],[f217]) ).

cnf(s17,plain,
    ~ spl11_23,
    inference(sat_conversion,[],[f238]) ).

cnf(s19,plain,
    ( ~ spl11_17
    | ~ spl11_22
    | spl11_23
    | spl11_30
    | spl11_31 ),
    inference(sat_conversion,[],[f267]) ).

cnf(s21,plain,
    ~ spl11_30,
    inference(sat_conversion,[],[f276]) ).

cnf(s24,plain,
    ~ spl11_31,
    inference(sat_conversion,[],[f298]) ).

cnf(s26,plain,
    ( ~ spl11_18
    | spl11_21
    | ~ spl11_24
    | spl11_30
    | spl11_31 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s29,plain,
    ( ~ spl11_17
    | ~ spl11_22
    | spl11_23 ),
    inference(rat,[],[s19,s24,s21]) ).

cnf(s31,plain,
    spl11_24,
    inference(rat,[],[s12,s17]) ).

cnf(s32,plain,
    ~ spl11_18,
    inference(rat,[],[s26,s24,s21,s13,s31]) ).

cnf(s33,plain,
    spl11_22,
    inference(rat,[],[s11,s13]) ).

cnf(s35,plain,
    ~ spl11_17,
    inference(rat,[],[s29,s17,s33]) ).

cnf(s36,plain,
    $false,
    inference(rat,[],[s9,s32,s35]) ).

fof(f315,plain,
    $false,
    inference(avatar_sat_refutation,[],[s36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT001+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39  % Computer : n008.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 17:16:12 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42  Running first-order model finding
% 0.13/0.42  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
% 0.17/0.48  % (1473938)Will run a generic schedule for satisfiability detection.
% 0.17/0.48  % (1473943)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3314720591_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48  % TRYING [1]
% 0.17/0.48  % TRYING [2]
% 0.17/0.48  % (1473944)% WARNING: option uhcvi not known.
% 0.17/0.48  % TRYING [3]
% 0.17/0.48  % (1473944)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3693925287:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48  % (1473947)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=314521100:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48  % (1473946)dis+10_1_sil=32000:sp=arity:random_seed=2805860610:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48  % (1473945)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=584514356:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48  % (1473949)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3041127863:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48  % (1473948)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2586220497:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48  % (1473946) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1473938-1473946"...
% 0.17/0.48  % (1473947) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1473938-1473947"...
% 0.17/0.48  % (1473946)...printing done.
% 0.17/0.48  % (1473947)...printing done.
% 0.17/0.48  % (1473946)Refutation found. Thanks to Tanya!
% 0.17/0.48  % SZS status Theorem for theBenchmark
% 0.17/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48  % (1473946)------------------------------
% 0.17/0.48  % (1473946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48  % (1473946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48  % (1473946)CaDiCaL version: 2.1.3
% 0.17/0.48  % (1473946)Termination reason: Refutation
% 0.17/0.48  % (1473946)Time elapsed: 0.009 s
% 0.17/0.48  % (1473946)Peak memory usage: 12 MB
% 0.17/0.48  % (1473946)Instructions burned: 13 (million)
% 0.17/0.48  % (1473938)Success in time 0.042 s
% 0.17/0.48  % Vampire exiting
%------------------------------------------------------------------------------