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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : MGT009+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n002.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 : Fri Sep 25 02:12:19 PM UTC 2026

% Result   : Theorem 1.82s 1.29s
% Output   : CNFRefutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   61 (  25 unt;   0 def)
%            Number of atoms       :  341 (   0 equ)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives :  489 ( 209   ~; 203   |;  69   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  179 (   0 sgn 159   !;  20   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : inertia(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5) ).

fof(f2,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( inertia(X1,X7,X3)
        & inertia(X0,X6,X2)
        & reproducibility(X1,X5,X3)
        & reproducibility(X0,X4,X2)
        & reorganization_free(X1,X3,X3)
        & reorganization_free(X0,X2,X2)
        & organization(X1,X3)
        & organization(X0,X2) )
     => ( greater(X5,X4)
      <=> greater(X7,X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_FOL) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( greater(X4,X3)
        & inertia(X1,X6,X8)
        & inertia(X0,X5,X7)
        & size(X1,X4,X8)
        & size(X0,X3,X7)
        & class(X1,X2,X8)
        & class(X0,X2,X7)
        & organization(X1,X8)
        & organization(X0,X7) )
     => greater(X6,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL) ).

fof(f4,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( greater(X6,X5)
        & size(X1,X6,X8)
        & size(X0,X5,X7)
        & reproducibility(X1,X4,X8)
        & reproducibility(X0,X3,X7)
        & class(X1,X2,X8)
        & class(X0,X2,X7)
        & reorganization_free(X1,X8,X8)
        & reorganization_free(X0,X7,X7)
        & organization(X1,X8)
        & organization(X0,X7) )
     => greater(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL) ).

fof(f5,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( ( greater(X6,X5)
          & size(X1,X6,X8)
          & size(X0,X5,X7)
          & reproducibility(X1,X4,X8)
          & reproducibility(X0,X3,X7)
          & class(X1,X2,X8)
          & class(X0,X2,X7)
          & reorganization_free(X1,X8,X8)
          & reorganization_free(X0,X7,X7)
          & organization(X1,X8)
          & organization(X0,X7) )
       => greater(X4,X3) ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | ? [X2] : inertia(X0,X2,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ inertia(X1,X7,X3)
      | ~ inertia(X0,X6,X2)
      | ~ reproducibility(X1,X5,X3)
      | ~ reproducibility(X0,X4,X2)
      | ~ reorganization_free(X1,X3,X3)
      | ~ reorganization_free(X0,X2,X2)
      | ~ organization(X1,X3)
      | ~ organization(X0,X2)
      | ( greater(X5,X4)
      <=> greater(X7,X6) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f8,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ inertia(X1,X7,X3)
      | ~ inertia(X0,X6,X2)
      | ~ reproducibility(X1,X5,X3)
      | ~ reproducibility(X0,X4,X2)
      | ~ reorganization_free(X1,X3,X3)
      | ~ reorganization_free(X0,X2,X2)
      | ~ organization(X1,X3)
      | ~ organization(X0,X2)
      | ( greater(X5,X4)
      <=> greater(X7,X6) ) ),
    inference(flattening,[],[f7]) ).

fof(f9,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ greater(X4,X3)
      | ~ inertia(X1,X6,X8)
      | ~ inertia(X0,X5,X7)
      | ~ size(X1,X4,X8)
      | ~ size(X0,X3,X7)
      | ~ class(X1,X2,X8)
      | ~ class(X0,X2,X7)
      | ~ organization(X1,X8)
      | ~ organization(X0,X7)
      | greater(X6,X5) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f10,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ greater(X4,X3)
      | ~ inertia(X1,X6,X8)
      | ~ inertia(X0,X5,X7)
      | ~ size(X1,X4,X8)
      | ~ size(X0,X3,X7)
      | ~ class(X1,X2,X8)
      | ~ class(X0,X2,X7)
      | ~ organization(X1,X8)
      | ~ organization(X0,X7)
      | greater(X6,X5) ),
    inference(flattening,[],[f9]) ).

fof(f11,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( greater(X6,X5)
      & size(X1,X6,X8)
      & size(X0,X5,X7)
      & reproducibility(X1,X4,X8)
      & reproducibility(X0,X3,X7)
      & class(X1,X2,X8)
      & class(X0,X2,X7)
      & reorganization_free(X1,X8,X8)
      & reorganization_free(X0,X7,X7)
      & organization(X1,X8)
      & organization(X0,X7)
      & ~ greater(X4,X3) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f12,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( greater(X6,X5)
      & size(X1,X6,X8)
      & size(X0,X5,X7)
      & reproducibility(X1,X4,X8)
      & reproducibility(X0,X3,X7)
      & class(X1,X2,X8)
      & class(X0,X2,X7)
      & reorganization_free(X1,X8,X8)
      & reorganization_free(X0,X7,X7)
      & organization(X1,X8)
      & organization(X0,X7)
      & ~ greater(X4,X3) ),
    inference(flattening,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | inertia(X0,sK0(X0,X1),X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f6]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ inertia(X1,X7,X3)
      | ~ inertia(X0,X6,X2)
      | ~ reproducibility(X1,X5,X3)
      | ~ reproducibility(X0,X4,X2)
      | ~ reorganization_free(X1,X3,X3)
      | ~ reorganization_free(X0,X2,X2)
      | ~ organization(X1,X3)
      | ~ organization(X0,X2)
      | ( ( ~ greater(X5,X4)
          | greater(X7,X6) )
        & ( ~ greater(X7,X6)
          | greater(X5,X4) ) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f15,plain,
    ( greater(sK7,sK6)
    & size(sK2,sK7,sK9)
    & size(sK1,sK6,sK8)
    & reproducibility(sK2,sK5,sK9)
    & reproducibility(sK1,sK4,sK8)
    & class(sK2,sK3,sK9)
    & class(sK1,sK3,sK8)
    & reorganization_free(sK2,sK9,sK9)
    & reorganization_free(sK1,sK8,sK8)
    & organization(sK2,sK9)
    & organization(sK1,sK8)
    & ~ greater(sK5,sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6),skolemize(X6,sK7),skolemize(X7,sK8),skolemize(X8,sK9)],[f12]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | inertia(X0,sK0(X0,X1),X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ inertia(X1,X7,X3)
      | ~ inertia(X0,X6,X2)
      | ~ reproducibility(X1,X5,X3)
      | ~ reproducibility(X0,X4,X2)
      | ~ reorganization_free(X1,X3,X3)
      | ~ reorganization_free(X0,X2,X2)
      | ~ organization(X1,X3)
      | ~ organization(X0,X2)
      | ~ greater(X7,X6)
      | greater(X5,X4) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f19,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(X4,X3)
      | ~ inertia(X1,X6,X8)
      | ~ inertia(X0,X5,X7)
      | ~ size(X1,X4,X8)
      | ~ size(X0,X3,X7)
      | ~ class(X1,X2,X8)
      | ~ class(X0,X2,X7)
      | ~ organization(X1,X8)
      | ~ organization(X0,X7)
      | greater(X6,X5) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f20,plain,
    greater(sK7,sK6),
    inference(cnf_transformation,[],[f15]) ).

fof(f21,plain,
    size(sK2,sK7,sK9),
    inference(cnf_transformation,[],[f15]) ).

fof(f22,plain,
    size(sK1,sK6,sK8),
    inference(cnf_transformation,[],[f15]) ).

fof(f23,plain,
    reproducibility(sK2,sK5,sK9),
    inference(cnf_transformation,[],[f15]) ).

fof(f24,plain,
    reproducibility(sK1,sK4,sK8),
    inference(cnf_transformation,[],[f15]) ).

fof(f25,plain,
    class(sK2,sK3,sK9),
    inference(cnf_transformation,[],[f15]) ).

fof(f26,plain,
    class(sK1,sK3,sK8),
    inference(cnf_transformation,[],[f15]) ).

fof(f27,plain,
    reorganization_free(sK2,sK9,sK9),
    inference(cnf_transformation,[],[f15]) ).

fof(f28,plain,
    reorganization_free(sK1,sK8,sK8),
    inference(cnf_transformation,[],[f15]) ).

fof(f29,plain,
    organization(sK2,sK9),
    inference(cnf_transformation,[],[f15]) ).

fof(f30,plain,
    organization(sK1,sK8),
    inference(cnf_transformation,[],[f15]) ).

fof(f31,plain,
    ~ greater(sK5,sK4),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] :
      ( inertia(X0,sK0(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( greater(X7,X6)
      | ~ greater(X4,X1)
      | ~ organization(X3,X5)
      | ~ organization(X0,X2)
      | ~ reproducibility(X3,X7,X5)
      | ~ reproducibility(X0,X6,X2)
      | ~ reorganization_free(X3,X5,X5)
      | ~ reorganization_free(X0,X2,X2)
      | ~ inertia(X3,X4,X5)
      | ~ inertia(X0,X1,X2) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( greater(X4,X1)
      | ~ greater(X8,X7)
      | ~ organization(X3,X5)
      | ~ organization(X0,X2)
      | ~ size(X3,X8,X5)
      | ~ size(X0,X7,X2)
      | ~ class(X3,X6,X5)
      | ~ class(X0,X6,X2)
      | ~ inertia(X3,X4,X5)
      | ~ inertia(X0,X1,X2) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_53,negated_conjecture,
    ~ greater(sK5,sK4),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_54,negated_conjecture,
    organization(sK1,sK8),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_55,negated_conjecture,
    organization(sK2,sK9),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_56,negated_conjecture,
    reorganization_free(sK1,sK8,sK8),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_57,negated_conjecture,
    reorganization_free(sK2,sK9,sK9),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_58,negated_conjecture,
    class(sK1,sK3,sK8),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_59,negated_conjecture,
    class(sK2,sK3,sK9),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_60,negated_conjecture,
    reproducibility(sK1,sK4,sK8),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_61,negated_conjecture,
    reproducibility(sK2,sK5,sK9),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_62,negated_conjecture,
    size(sK1,sK6,sK8),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_63,negated_conjecture,
    size(sK2,sK7,sK9),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_64,negated_conjecture,
    greater(sK7,sK6),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_166,plain,
    ( inertia(sK1,sK0(sK1,sK8),sK8)
    | ~ organization(sK1,sK8) ),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_167,plain,
    ( inertia(sK2,sK0(sK2,sK9),sK9)
    | ~ organization(sK2,sK9) ),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( greater(X3,X5)
      | ~ organization(sK1,sK8)
      | ~ greater(X1,X4)
      | ~ organization(X0,X2)
      | ~ reorganization_free(sK1,sK8,sK8)
      | ~ reproducibility(sK1,X5,sK8)
      | ~ inertia(sK1,X4,sK8)
      | ~ reproducibility(X0,X3,X2)
      | ~ reorganization_free(X0,X2,X2)
      | ~ inertia(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_172,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( greater(X1,X5)
      | ~ organization(sK1,sK8)
      | ~ greater(X4,X6)
      | ~ organization(X0,X2)
      | ~ size(sK1,X6,sK8)
      | ~ class(sK1,X3,sK8)
      | ~ inertia(sK1,X5,sK8)
      | ~ size(X0,X4,X2)
      | ~ class(X0,X3,X2)
      | ~ inertia(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_175,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( greater(X3,X2)
      | ~ organization(sK2,sK9)
      | ~ organization(sK1,sK8)
      | ~ greater(X1,X0)
      | ~ reorganization_free(sK2,sK9,sK9)
      | ~ reorganization_free(sK1,sK8,sK8)
      | ~ reproducibility(sK2,X3,sK9)
      | ~ reproducibility(sK1,X2,sK8)
      | ~ inertia(sK2,X1,sK9)
      | ~ inertia(sK1,X0,sK8) ),
    inference(instantiation,[status(thm)],[c_168]) ).

tcf(c_183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( greater(X1,X0)
      | ~ organization(sK2,sK9)
      | ~ organization(sK1,sK8)
      | ~ greater(X4,X3)
      | ~ size(sK2,X4,sK9)
      | ~ size(sK1,X3,sK8)
      | ~ class(sK2,X2,sK9)
      | ~ class(sK1,X2,sK8)
      | ~ inertia(sK2,X1,sK9)
      | ~ inertia(sK1,X0,sK8) ),
    inference(instantiation,[status(thm)],[c_172]) ).

tcf(c_192,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(X2,X1)
      | ~ organization(sK2,sK9)
      | ~ organization(sK1,sK8)
      | ~ reorganization_free(sK2,sK9,sK9)
      | ~ reorganization_free(sK1,sK8,sK8)
      | ~ reproducibility(sK2,X2,sK9)
      | ~ reproducibility(sK1,X1,sK8)
      | ~ inertia(sK2,X0,sK9)
      | ~ greater(X0,sK0(sK1,sK8))
      | ~ inertia(sK1,sK0(sK1,sK8),sK8) ),
    inference(instantiation,[status(thm)],[c_175]) ).

tcf(c_204,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( greater(X0,sK0(sK1,sK8))
      | ~ organization(sK2,sK9)
      | ~ organization(sK1,sK8)
      | ~ greater(X3,X2)
      | ~ size(sK2,X3,sK9)
      | ~ size(sK1,X2,sK8)
      | ~ class(sK2,X1,sK9)
      | ~ class(sK1,X1,sK8)
      | ~ inertia(sK2,X0,sK9)
      | ~ inertia(sK1,sK0(sK1,sK8),sK8) ),
    inference(instantiation,[status(thm)],[c_183]) ).

tcf(c_210,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X1,X0)
      | ~ organization(sK2,sK9)
      | ~ organization(sK1,sK8)
      | ~ reorganization_free(sK2,sK9,sK9)
      | ~ reorganization_free(sK1,sK8,sK8)
      | ~ reproducibility(sK2,X1,sK9)
      | ~ reproducibility(sK1,X0,sK8)
      | ~ inertia(sK2,sK0(sK2,sK9),sK9)
      | ~ inertia(sK1,sK0(sK1,sK8),sK8)
      | ~ greater(sK0(sK2,sK9),sK0(sK1,sK8)) ),
    inference(instantiation,[status(thm)],[c_192]) ).

tcf(c_218,plain,
    ! [X0: $i] :
      ( greater(X0,sK4)
      | ~ organization(sK2,sK9)
      | ~ organization(sK1,sK8)
      | ~ reproducibility(sK1,sK4,sK8)
      | ~ reorganization_free(sK2,sK9,sK9)
      | ~ reorganization_free(sK1,sK8,sK8)
      | ~ reproducibility(sK2,X0,sK9)
      | ~ inertia(sK2,sK0(sK2,sK9),sK9)
      | ~ inertia(sK1,sK0(sK1,sK8),sK8)
      | ~ greater(sK0(sK2,sK9),sK0(sK1,sK8)) ),
    inference(instantiation,[status(thm)],[c_210]) ).

tcf(c_223,plain,
    ( greater(sK5,sK4)
    | ~ organization(sK2,sK9)
    | ~ organization(sK1,sK8)
    | ~ reproducibility(sK2,sK5,sK9)
    | ~ reproducibility(sK1,sK4,sK8)
    | ~ reorganization_free(sK2,sK9,sK9)
    | ~ reorganization_free(sK1,sK8,sK8)
    | ~ inertia(sK2,sK0(sK2,sK9),sK9)
    | ~ inertia(sK1,sK0(sK1,sK8),sK8)
    | ~ greater(sK0(sK2,sK9),sK0(sK1,sK8)) ),
    inference(instantiation,[status(thm)],[c_218]) ).

tcf(c_228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(sK0(sK2,sK9),sK0(sK1,sK8))
      | ~ organization(sK2,sK9)
      | ~ organization(sK1,sK8)
      | ~ greater(X2,X1)
      | ~ size(sK2,X2,sK9)
      | ~ size(sK1,X1,sK8)
      | ~ class(sK2,X0,sK9)
      | ~ class(sK1,X0,sK8)
      | ~ inertia(sK2,sK0(sK2,sK9),sK9)
      | ~ inertia(sK1,sK0(sK1,sK8),sK8) ),
    inference(instantiation,[status(thm)],[c_204]) ).

tcf(c_234,plain,
    ! [X0: $i,X1: $i] :
      ( greater(sK0(sK2,sK9),sK0(sK1,sK8))
      | ~ organization(sK2,sK9)
      | ~ organization(sK1,sK8)
      | ~ greater(X1,X0)
      | ~ class(sK2,sK3,sK9)
      | ~ class(sK1,sK3,sK8)
      | ~ size(sK2,X1,sK9)
      | ~ size(sK1,X0,sK8)
      | ~ inertia(sK2,sK0(sK2,sK9),sK9)
      | ~ inertia(sK1,sK0(sK1,sK8),sK8) ),
    inference(instantiation,[status(thm)],[c_228]) ).

tcf(c_236,plain,
    ! [X0: $i] :
      ( greater(sK0(sK2,sK9),sK0(sK1,sK8))
      | ~ organization(sK2,sK9)
      | ~ organization(sK1,sK8)
      | ~ greater(X0,sK6)
      | ~ size(sK1,sK6,sK8)
      | ~ class(sK2,sK3,sK9)
      | ~ class(sK1,sK3,sK8)
      | ~ size(sK2,X0,sK9)
      | ~ inertia(sK2,sK0(sK2,sK9),sK9)
      | ~ inertia(sK1,sK0(sK1,sK8),sK8) ),
    inference(instantiation,[status(thm)],[c_234]) ).

tcf(c_246,plain,
    ( greater(sK0(sK2,sK9),sK0(sK1,sK8))
    | ~ greater(sK7,sK6)
    | ~ organization(sK2,sK9)
    | ~ organization(sK1,sK8)
    | ~ size(sK2,sK7,sK9)
    | ~ size(sK1,sK6,sK8)
    | ~ class(sK2,sK3,sK9)
    | ~ class(sK1,sK3,sK8)
    | ~ inertia(sK2,sK0(sK2,sK9),sK9)
    | ~ inertia(sK1,sK0(sK1,sK8),sK8) ),
    inference(instantiation,[status(thm)],[c_236]) ).

tcf(c_247,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_246,c_223,c_167,c_166,c_53,c_56,c_57,c_58,c_59,c_60,c_61,c_62,c_63,c_54,c_55,c_64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT009+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38  % Computer : n002.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 : Thu Sep 24 01:00:21 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.43  
% 0.11/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.45  % Proving...
% 1.82/1.29  % SZS status Started for theBenchmark.p
% 1.82/1.29  % SZS status Theorem for theBenchmark.p
% 1.82/1.29  
% 1.82/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.82/1.29  
% 1.82/1.29  % ------  iProver source info
% 1.82/1.29  
% 1.82/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 1.82/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.82/1.29  % git: non_committed_changes: false
% 1.82/1.29  
% 1.82/1.29  % ------ Parsing...
% 1.82/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.82/1.29  
% 1.82/1.29  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 1.82/1.29  
% 1.82/1.29  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.82/1.29  % ------ Proving...
% 1.82/1.29  % ------ Problem Properties 
% 1.82/1.29  
% 1.82/1.29  % 
% 1.82/1.29  % clauses                               16
% 1.82/1.29  % conjectures                           12
% 1.82/1.29  % EPR                                   15
% 1.82/1.29  % Horn                                  16
% 1.82/1.29  % unary                                 12
% 1.82/1.29  % binary                                1
% 1.82/1.29  % lits                                  44
% 1.82/1.29  % lits eq                               0
% 1.82/1.29  % fd_pure                               0
% 1.82/1.29  % fd_pseudo                             0
% 1.82/1.29  % fd_cond                               0
% 1.82/1.29  % fd_pseudo_cond                        0
% 1.82/1.29  % AC symbols                            0
% 1.82/1.29  
% 1.82/1.29  % ------ Schedule dynamic 5 is on 
% 1.82/1.29  
% 1.82/1.29  % ------ no equalities: superposition off 
% 1.82/1.29  
% 1.82/1.29  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.82/1.29  
% 1.82/1.29  
% 1.82/1.29  % ------ 
% 1.82/1.29  % Current options:
% 1.82/1.29  % ------ 
% 1.82/1.29  
% 1.82/1.29  
% 1.82/1.29  % 
% 1.82/1.29  
% 1.82/1.29  % ------ Proving...
% 1.82/1.29  % 
% 1.82/1.29  
% 1.82/1.29  % SZS status Theorem for theBenchmark.p
% 1.82/1.29  
% 1.82/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.82/1.29  
% 1.82/1.29  
%------------------------------------------------------------------------------