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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : MGT012+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 : n013.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 1.85s 1.27s
% Output   : CNFRefutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   81 (  25 unt;   0 def)
%            Number of atoms       :  301 (  19 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  397 ( 177   ~; 167   |;  46   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 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 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  203 (   0 sgn 189   !;  14   ?;  81   :)

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

fof(f3,axiom,
    ! [X0,X1] :
      ~ ( greater(X1,X0)
        & greater(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : class(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp9) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( class(X0,X4,X2)
        & class(X0,X3,X1)
        & reorganization_free(X0,X1,X2)
        & organization(X0,X2)
        & organization(X0,X1) )
     => X3 = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp10) ).

fof(f6,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( greater(X4,X3)
        & inertia(X1,X6,X8)
        & inertia(X0,X5,X7)
        & complexity(X1,X4,X8)
        & complexity(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',a12_FOL) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( greater(X4,X3)
        & inertia(X0,X2,X4)
        & inertia(X0,X1,X3)
        & reorganization_free(X0,X3,X4)
        & organization(X0,X4)
        & organization(X0,X3) )
     => greater(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL) ).

fof(f8,conjecture,
    ! [X0,X1,X2,X3,X4] :
      ( ( greater(X4,X3)
        & complexity(X0,X2,X4)
        & complexity(X0,X1,X3)
        & reorganization_free(X0,X3,X4)
        & organization(X0,X4)
        & organization(X0,X3) )
     => ~ greater(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( greater(X4,X3)
          & complexity(X0,X2,X4)
          & complexity(X0,X1,X3)
          & reorganization_free(X0,X3,X4)
          & organization(X0,X4)
          & organization(X0,X3) )
       => ~ greater(X1,X2) ),
    inference(negated_conjecture,[status(cth)],[f8]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | ? [X2] : inertia(X0,X2,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | ? [X2] : class(X0,X2,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ class(X0,X4,X2)
      | ~ class(X0,X3,X1)
      | ~ reorganization_free(X0,X1,X2)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1)
      | X3 = X4 ),
    inference(ennf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ class(X0,X4,X2)
      | ~ class(X0,X3,X1)
      | ~ reorganization_free(X0,X1,X2)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1)
      | X3 = X4 ),
    inference(flattening,[],[f14]) ).

fof(f16,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ greater(X4,X3)
      | ~ inertia(X1,X6,X8)
      | ~ inertia(X0,X5,X7)
      | ~ complexity(X1,X4,X8)
      | ~ complexity(X0,X3,X7)
      | ~ class(X1,X2,X8)
      | ~ class(X0,X2,X7)
      | ~ organization(X1,X8)
      | ~ organization(X0,X7)
      | greater(X6,X5) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ greater(X4,X3)
      | ~ inertia(X1,X6,X8)
      | ~ inertia(X0,X5,X7)
      | ~ complexity(X1,X4,X8)
      | ~ complexity(X0,X3,X7)
      | ~ class(X1,X2,X8)
      | ~ class(X0,X2,X7)
      | ~ organization(X1,X8)
      | ~ organization(X0,X7)
      | greater(X6,X5) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ greater(X4,X3)
      | ~ inertia(X0,X2,X4)
      | ~ inertia(X0,X1,X3)
      | ~ reorganization_free(X0,X3,X4)
      | ~ organization(X0,X4)
      | ~ organization(X0,X3)
      | greater(X2,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f19,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ greater(X4,X3)
      | ~ inertia(X0,X2,X4)
      | ~ inertia(X0,X1,X3)
      | ~ reorganization_free(X0,X3,X4)
      | ~ organization(X0,X4)
      | ~ organization(X0,X3)
      | greater(X2,X1) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ? [X0,X1,X2,X3,X4] :
      ( greater(X4,X3)
      & complexity(X0,X2,X4)
      & complexity(X0,X1,X3)
      & reorganization_free(X0,X3,X4)
      & organization(X0,X4)
      & organization(X0,X3)
      & greater(X1,X2) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f21,plain,
    ? [X0,X1,X2,X3,X4] :
      ( greater(X4,X3)
      & complexity(X0,X2,X4)
      & complexity(X0,X1,X3)
      & reorganization_free(X0,X3,X4)
      & organization(X0,X4)
      & organization(X0,X3)
      & greater(X1,X2) ),
    inference(flattening,[],[f20]) ).

fof(f22,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))],[f10]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | class(X0,sK1(X0,X1),X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f13]) ).

fof(f24,plain,
    ( greater(sK6,sK5)
    & complexity(sK2,sK4,sK6)
    & complexity(sK2,sK3,sK5)
    & reorganization_free(sK2,sK5,sK6)
    & organization(sK2,sK6)
    & organization(sK2,sK5)
    & greater(sK3,sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6)],[f21]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | inertia(X0,sK0(X0,X1),X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | class(X0,sK1(X0,X1),X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f29,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ class(X0,X4,X2)
      | ~ class(X0,X3,X1)
      | ~ reorganization_free(X0,X1,X2)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1)
      | X3 = X4 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(X4,X3)
      | ~ inertia(X1,X6,X8)
      | ~ inertia(X0,X5,X7)
      | ~ complexity(X1,X4,X8)
      | ~ complexity(X0,X3,X7)
      | ~ class(X1,X2,X8)
      | ~ class(X0,X2,X7)
      | ~ organization(X1,X8)
      | ~ organization(X0,X7)
      | greater(X6,X5) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ greater(X4,X3)
      | ~ inertia(X0,X2,X4)
      | ~ inertia(X0,X1,X3)
      | ~ reorganization_free(X0,X3,X4)
      | ~ organization(X0,X4)
      | ~ organization(X0,X3)
      | greater(X2,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f32,plain,
    greater(sK6,sK5),
    inference(cnf_transformation,[],[f24]) ).

fof(f33,plain,
    complexity(sK2,sK4,sK6),
    inference(cnf_transformation,[],[f24]) ).

fof(f34,plain,
    complexity(sK2,sK3,sK5),
    inference(cnf_transformation,[],[f24]) ).

fof(f35,plain,
    reorganization_free(sK2,sK5,sK6),
    inference(cnf_transformation,[],[f24]) ).

fof(f36,plain,
    organization(sK2,sK6),
    inference(cnf_transformation,[],[f24]) ).

fof(f37,plain,
    organization(sK2,sK5),
    inference(cnf_transformation,[],[f24]) ).

fof(f38,plain,
    greater(sK3,sK4),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] :
      ( inertia(X0,sK0(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i] :
      ( class(X0,sK1(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X1 = X3 )
      | ~ organization(X0,X4)
      | ~ organization(X0,X2)
      | ~ reorganization_free(X0,X2,X4)
      | ~ class(X0,X3,X4)
      | ~ class(X0,X1,X2) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_54,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)
      | ~ complexity(X3,X8,X5)
      | ~ complexity(X0,X7,X2)
      | ~ class(X3,X6,X5)
      | ~ class(X0,X6,X2)
      | ~ inertia(X3,X4,X5)
      | ~ inertia(X0,X1,X2) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( greater(X3,X1)
      | ~ greater(X4,X2)
      | ~ organization(X0,X4)
      | ~ organization(X0,X2)
      | ~ reorganization_free(X0,X2,X4)
      | ~ inertia(X0,X3,X4)
      | ~ inertia(X0,X1,X2) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_56,negated_conjecture,
    greater(sK3,sK4),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_57,negated_conjecture,
    organization(sK2,sK5),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_58,negated_conjecture,
    organization(sK2,sK6),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_59,negated_conjecture,
    reorganization_free(sK2,sK5,sK6),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_60,negated_conjecture,
    complexity(sK2,sK3,sK5),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_61,negated_conjecture,
    complexity(sK2,sK4,sK6),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_62,negated_conjecture,
    greater(sK6,sK5),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_206,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( greater(X4,X3)
      | ~ greater(X2,X1)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1)
      | ~ inertia(X0,X4,X2)
      | ~ inertia(X0,X3,X1)
      | ( X2 != sK6 )
      | ( X1 != sK5 )
      | ( X0 != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_59]) ).

tcf(c_207,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X1,X0)
      | ~ greater(sK6,sK5)
      | ~ organization(sK2,sK6)
      | ~ organization(sK2,sK5)
      | ~ inertia(sK2,X1,sK6)
      | ~ inertia(sK2,X0,sK5) ),
    inference(unflattening,[status(thm)],[c_206]) ).

tcf(c_209,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X1,X0)
      | ~ inertia(sK2,X0,sK5)
      | ~ inertia(sK2,X1,sK6) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_62,c_58,c_57,c_207]) ).

tcf(c_210,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X1,X0)
      | ~ inertia(sK2,X1,sK6)
      | ~ inertia(sK2,X0,sK5) ),
    inference(renaming,[status(thm)],[c_209]) ).

tcf(c_221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X3 = X4 )
      | ~ organization(X0,X2)
      | ~ organization(X0,X1)
      | ~ class(X0,X4,X2)
      | ~ class(X0,X3,X1)
      | ( X2 != sK6 )
      | ( X1 != sK5 )
      | ( X0 != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_59]) ).

tcf(c_222,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ organization(sK2,sK6)
      | ~ organization(sK2,sK5)
      | ~ class(sK2,X1,sK6)
      | ~ class(sK2,X0,sK5) ),
    inference(unflattening,[status(thm)],[c_221]) ).

tcf(c_224,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ class(sK2,X1,sK6)
      | ~ class(sK2,X0,sK5) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_58,c_57,c_222]) ).

tcf(c_350,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ class(sK2,X1,sK6)
      | ~ class(sK2,X0,sK5) ),
    inference(demodulation,[status(thm)],[c_224]) ).

tcf(c_351,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X1,X0)
      | ~ inertia(sK2,X1,sK6)
      | ~ inertia(sK2,X0,sK5) ),
    inference(demodulation,[status(thm)],[c_210]) ).

tcf(c_353,negated_conjecture,
    complexity(sK2,sK4,sK6),
    inference(demodulation,[status(thm)],[c_61]) ).

tcf(c_354,negated_conjecture,
    complexity(sK2,sK3,sK5),
    inference(demodulation,[status(thm)],[c_60]) ).

tcf(c_355,negated_conjecture,
    organization(sK2,sK6),
    inference(demodulation,[status(thm)],[c_58]) ).

tcf(c_356,negated_conjecture,
    organization(sK2,sK5),
    inference(demodulation,[status(thm)],[c_57]) ).

tcf(c_357,negated_conjecture,
    greater(sK3,sK4),
    inference(demodulation,[status(thm)],[c_56]) ).

tcf(c_607,plain,
    ! [X0: $i] :
      ( greater(X0,sK0(sK2,sK5))
      | ~ organization(sK2,sK5)
      | ~ inertia(sK2,X0,sK6) ),
    inference(superposition,[status(thm)],[c_49,c_351]) ).

tcf(c_608,plain,
    ! [X0: $i] :
      ( greater(X0,sK0(sK2,sK5))
      | ~ inertia(sK2,X0,sK6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_607,c_356]) ).

tcf(c_622,plain,
    ! [X0: $i] :
      ( ( sK1(sK2,sK5) = X0 )
      | ~ organization(sK2,sK5)
      | ~ class(sK2,X0,sK6) ),
    inference(superposition,[status(thm)],[c_52,c_350]) ).

tcf(c_623,plain,
    ! [X0: $i] :
      ( ( sK1(sK2,sK5) = X0 )
      | ~ class(sK2,X0,sK6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_622,c_356]) ).

tcf(c_647,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( greater(X1,sK0(X3,X5))
      | ~ greater(X7,X6)
      | ~ organization(X3,X5)
      | ~ organization(X0,X2)
      | ~ complexity(X3,X6,X5)
      | ~ complexity(X0,X7,X2)
      | ~ class(X3,X4,X5)
      | ~ class(X0,X4,X2)
      | ~ inertia(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_49,c_54]) ).

tcf(c_662,plain,
    ! [X0: $i] :
      ( ~ inertia(sK2,X0,sK6)
      | ~ greater(sK0(sK2,sK5),X0) ),
    inference(superposition,[status(thm)],[c_608,c_51]) ).

tcf(c_670,plain,
    ( ( sK1(sK2,sK5) = sK1(sK2,sK6) )
    | ~ organization(sK2,sK6) ),
    inference(superposition,[status(thm)],[c_52,c_623]) ).

tcf(c_671,plain,
    sK1(sK2,sK5) = sK1(sK2,sK6),
    inference(forward_subsumption_resolution,[status(thm)],[c_670,c_355]) ).

tcf(c_672,plain,
    ( class(sK2,sK1(sK2,sK5),sK6)
    | ~ organization(sK2,sK6) ),
    inference(superposition,[status(thm)],[c_671,c_52]) ).

tcf(c_673,plain,
    class(sK2,sK1(sK2,sK5),sK6),
    inference(forward_subsumption_resolution,[status(thm)],[c_672,c_355]) ).

tcf(c_698,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( greater(sK0(X0,X2),sK0(X3,X4))
      | ~ greater(X5,X6)
      | ~ organization(X3,X4)
      | ~ organization(X0,X2)
      | ~ complexity(X3,X6,X4)
      | ~ complexity(X0,X5,X2)
      | ~ class(X3,X1,X4)
      | ~ class(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_49,c_647]) ).

tcf(c_723,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( greater(sK0(X1,X2),sK0(X0,X3))
      | ~ greater(X4,X5)
      | ~ organization(X1,X2)
      | ~ organization(X0,X3)
      | ~ complexity(X1,X4,X2)
      | ~ complexity(X0,X5,X3)
      | ~ class(X0,sK1(X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_52,c_698]) ).

tcf(c_782,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(sK0(sK2,sK5),sK0(X0,X1))
      | ~ organization(sK2,sK5)
      | ~ greater(sK3,X2)
      | ~ organization(X0,X1)
      | ~ complexity(X0,X2,X1)
      | ~ class(X0,sK1(sK2,sK5),X1) ),
    inference(superposition,[status(thm)],[c_354,c_723]) ).

tcf(c_791,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(sK0(sK2,sK5),sK0(X0,X1))
      | ~ greater(sK3,X2)
      | ~ organization(X0,X1)
      | ~ complexity(X0,X2,X1)
      | ~ class(X0,sK1(sK2,sK5),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_782,c_356]) ).

tcf(c_831,plain,
    ( greater(sK0(sK2,sK5),sK0(sK2,sK6))
    | ~ greater(sK3,sK4)
    | ~ organization(sK2,sK6)
    | ~ class(sK2,sK1(sK2,sK5),sK6) ),
    inference(superposition,[status(thm)],[c_353,c_791]) ).

tcf(c_832,plain,
    greater(sK0(sK2,sK5),sK0(sK2,sK6)),
    inference(forward_subsumption_resolution,[status(thm)],[c_831,c_357,c_355,c_673]) ).

tcf(c_834,plain,
    ~ inertia(sK2,sK0(sK2,sK6),sK6),
    inference(superposition,[status(thm)],[c_832,c_662]) ).

tcf(c_840,plain,
    ~ organization(sK2,sK6),
    inference(superposition,[status(thm)],[c_49,c_834]) ).

tcf(c_841,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_840,c_355]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT012+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.35  % Computer : n013.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Thu Sep 24 00:59:06 UTC 2026
% 0.07/0.36  % CPUTime  : 
% 0.07/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39  Running first-order theorem proving
% 0.12/0.40  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
% 0.12/0.41  
% 0.12/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41  
% 0.12/0.41  % Detected problem language: tptp
% 0.12/0.42  % Proving...
% 1.85/1.27  % SZS status Started for theBenchmark.p
% 1.85/1.27  % SZS status Theorem for theBenchmark.p
% 1.85/1.27  
% 1.85/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.85/1.27  
% 1.85/1.27  % ------  iProver source info
% 1.85/1.27  
% 1.85/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 1.85/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.85/1.27  % git: non_committed_changes: false
% 1.85/1.27  
% 1.85/1.27  % ------ Parsing...
% 1.85/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.85/1.27  
% 1.85/1.27  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 1.85/1.27  
% 1.85/1.27  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.85/1.27  
% 1.85/1.27  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.85/1.27  % ------ Proving...
% 1.85/1.27  % ------ Problem Properties 
% 1.85/1.27  
% 1.85/1.27  % 
% 1.85/1.27  % clauses                               13
% 1.85/1.27  % conjectures                           6
% 1.85/1.27  % EPR                                   11
% 1.85/1.27  % Horn                                  13
% 1.85/1.27  % unary                                 7
% 1.85/1.27  % binary                                3
% 1.85/1.27  % lits                                  29
% 1.85/1.27  % lits eq                               1
% 1.85/1.27  % fd_pure                               0
% 1.85/1.27  % fd_pseudo                             0
% 1.85/1.27  % fd_cond                               0
% 1.85/1.27  % fd_pseudo_cond                        1
% 1.85/1.27  % AC symbols                            0
% 1.85/1.27  
% 1.85/1.27  % ------ Schedule dynamic 5 is on 
% 1.85/1.27  
% 1.85/1.27  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.85/1.27  
% 1.85/1.27  
% 1.85/1.27  % ------ 
% 1.85/1.27  % Current options:
% 1.85/1.27  % ------ 
% 1.85/1.27  
% 1.85/1.27  
% 1.85/1.27  % 
% 1.85/1.27  
% 1.85/1.27  % ------ Proving...
% 1.85/1.27  % 
% 1.85/1.27  
% 1.85/1.27  % SZS status Theorem for theBenchmark.p
% 1.85/1.27  
% 1.85/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.85/1.27  
% 1.85/1.27  
%------------------------------------------------------------------------------