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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MGT046+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:48:19 PM UTC 2026

% Result   : Theorem 1.31s 1.74s
% Output   : CNFRefutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   59 (  11 unt;   0 def)
%            Number of atoms       :  229 (  38 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  256 (  86   ~;  77   |;  55   &)
%                                         (   4 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  125 (  10 sgn  80   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(theorem_1,conjecture,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & ~ has_endowment(X1)
        & greater(age(X1,X4),age(X1,X5)) )
     => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_1) ).

fof(assumption_4,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & ~ has_immunity(X1,X5)
        & ~ has_immunity(X1,X4) )
     => ( ( ( greater(capability(X1,X4),capability(X1,X5))
            & greater_or_equal(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( greater_or_equal(capability(X1,X4),capability(X1,X5))
            & greater(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( capability(X1,X4) = capability(X1,X5)
            & position(X1,X4) = position(X1,X5) )
         => hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4) ).

fof(assumption_6,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => ( ( greater(external_ties(X1,X4),external_ties(X1,X5))
         => greater(position(X1,X4),position(X1,X5)) )
        & ( external_ties(X1,X4) = external_ties(X1,X5)
         => position(X1,X4) = position(X1,X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).

fof(assumption_8,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & greater(age(X1,X4),age(X1,X5)) )
     => greater(external_ties(X1,X4),external_ties(X1,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8) ).

fof(assumption_1,axiom,
    ! [X1,X4] :
      ( ( organization(X1)
        & ~ has_endowment(X1) )
     => ~ has_immunity(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).

fof(definition_greater_or_equal,axiom,
    ! [X1,X2] :
      ( greater_or_equal(X1,X2)
    <=> ( greater(X1,X2)
        | X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).

fof(assumption_5,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => ( ( ( greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => greater(capability(X1,X4),capability(X1,X5)) )
        & ( ( smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & greater(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => smaller(capability(X1,X4),capability(X1,X5)) )
        & ( ( stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5)
            & internal_friction(X1,X4) = internal_friction(X1,X5) )
         => capability(X1,X4) = capability(X1,X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5) ).

fof(assumption_9,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => internal_friction(X1,X4) = internal_friction(X1,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_9) ).

fof(assumption_7,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & greater(age(X1,X4),age(X1,X5)) )
     => greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7) ).

fof(definition_smaller_or_equal,axiom,
    ! [X1,X2] :
      ( smaller_or_equal(X1,X2)
    <=> ( smaller(X1,X2)
        | X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).

fof(c_0_10,plain,
    ! [X1,X4,X5] :
      ( epred1_3(X5,X4,X1)
    <=> ( ( ( greater(capability(X1,X4),capability(X1,X5))
            & greater_or_equal(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( greater_or_equal(capability(X1,X4),capability(X1,X5))
            & greater(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( capability(X1,X4) = capability(X1,X5)
            & position(X1,X4) = position(X1,X5) )
         => hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ) ) ),
    introduced(definition) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1,X5,X4] :
        ( ( organization(X1)
          & ~ has_endowment(X1)
          & greater(age(X1,X4),age(X1,X5)) )
       => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_1])]) ).

fof(c_0_12,plain,
    ! [X1,X4,X5] :
      ( epred1_3(X5,X4,X1)
     => ( ( ( greater(capability(X1,X4),capability(X1,X5))
            & greater_or_equal(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( greater_or_equal(capability(X1,X4),capability(X1,X5))
            & greater(position(X1,X4),position(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( capability(X1,X4) = capability(X1,X5)
            & position(X1,X4) = position(X1,X5) )
         => hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

fof(c_0_13,plain,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & ~ has_immunity(X1,X5)
        & ~ has_immunity(X1,X4) )
     => epred1_3(X5,X4,X1) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_4]),c_0_10]) ).

fof(c_0_14,negated_conjecture,
    ( organization(esk1_0)
    & ~ has_endowment(esk1_0)
    & greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0))
    & ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

fof(c_0_15,plain,
    ! [X78,X79,X80] :
      ( ( ~ greater(capability(X78,X79),capability(X78,X80))
        | ~ greater_or_equal(position(X78,X79),position(X78,X80))
        | smaller(hazard_of_mortality(X78,X79),hazard_of_mortality(X78,X80))
        | ~ epred1_3(X80,X79,X78) )
      & ( ~ greater_or_equal(capability(X78,X79),capability(X78,X80))
        | ~ greater(position(X78,X79),position(X78,X80))
        | smaller(hazard_of_mortality(X78,X79),hazard_of_mortality(X78,X80))
        | ~ epred1_3(X80,X79,X78) )
      & ( capability(X78,X79) != capability(X78,X80)
        | position(X78,X79) != position(X78,X80)
        | hazard_of_mortality(X78,X79) = hazard_of_mortality(X78,X80)
        | ~ epred1_3(X80,X79,X78) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

fof(c_0_16,plain,
    ! [X63,X64,X65] :
      ( ( ~ greater(external_ties(X63,X65),external_ties(X63,X64))
        | greater(position(X63,X65),position(X63,X64))
        | ~ organization(X63) )
      & ( external_ties(X63,X65) != external_ties(X63,X64)
        | position(X63,X65) = position(X63,X64)
        | ~ organization(X63) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])]) ).

fof(c_0_17,plain,
    ! [X69,X70,X71] :
      ( ~ organization(X69)
      | ~ greater(age(X69,X71),age(X69,X70))
      | greater(external_ties(X69,X71),external_ties(X69,X70)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_8])]) ).

fof(c_0_18,plain,
    ! [X1,X4] :
      ( ( organization(X1)
        & ~ has_endowment(X1) )
     => ~ has_immunity(X1,X4) ),
    inference(fof_simplification,[status(thm)],[assumption_1]) ).

fof(c_0_19,plain,
    ! [X57,X58,X59] :
      ( ~ organization(X57)
      | has_immunity(X57,X58)
      | has_immunity(X57,X59)
      | epred1_3(X58,X59,X57) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).

fof(c_0_20,plain,
    ! [X1,X4,X5] :
      ( epred2_3(X5,X4,X1)
    <=> ( ( ( greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => greater(capability(X1,X4),capability(X1,X5)) )
        & ( ( smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & greater(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => smaller(capability(X1,X4),capability(X1,X5)) )
        & ( ( stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5)
            & internal_friction(X1,X4) = internal_friction(X1,X5) )
         => capability(X1,X4) = capability(X1,X5) ) ) ),
    introduced(definition) ).

cnf(c_0_21,negated_conjecture,
    ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ( smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
    | ~ greater_or_equal(capability(X1,X2),capability(X1,X3))
    | ~ greater(position(X1,X2),position(X1,X3))
    | ~ epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_23,plain,
    ! [X44,X45] :
      ( ( ~ greater_or_equal(X44,X45)
        | greater(X44,X45)
        | X44 = X45 )
      & ( ~ greater(X44,X45)
        | greater_or_equal(X44,X45) )
      & ( X44 != X45
        | greater_or_equal(X44,X45) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_greater_or_equal])])]) ).

cnf(c_0_24,plain,
    ( greater(position(X1,X2),position(X1,X3))
    | ~ greater(external_ties(X1,X2),external_ties(X1,X3))
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,plain,
    ( greater(external_ties(X1,X2),external_ties(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_26,plain,
    ! [X55,X56] :
      ( ~ organization(X55)
      | has_endowment(X55)
      | ~ has_immunity(X55,X56) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).

cnf(c_0_27,plain,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | epred1_3(X2,X3,X1)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,negated_conjecture,
    organization(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_29,plain,
    ! [X1,X4,X5] :
      ( epred2_3(X5,X4,X1)
     => ( ( ( greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => greater(capability(X1,X4),capability(X1,X5)) )
        & ( ( smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
            & greater(internal_friction(X1,X4),internal_friction(X1,X5)) )
         => smaller(capability(X1,X4),capability(X1,X5)) )
        & ( ( stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5)
            & internal_friction(X1,X4) = internal_friction(X1,X5) )
         => capability(X1,X4) = capability(X1,X5) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_20]) ).

fof(c_0_30,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => epred2_3(X5,X4,X1) ),
    inference(apply_def,[status(thm)],[assumption_5,c_0_20]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ epred1_3(esk2_0,esk3_0,esk1_0)
    | ~ greater(position(esk1_0,esk3_0),position(esk1_0,esk2_0))
    | ~ greater_or_equal(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_32,plain,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    ( greater(position(X1,X2),position(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_34,negated_conjecture,
    greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_35,plain,
    ( has_endowment(X1)
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36,negated_conjecture,
    ( epred1_3(X1,X2,esk1_0)
    | has_immunity(esk1_0,X1)
    | has_immunity(esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_37,negated_conjecture,
    ~ has_endowment(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_38,plain,
    ! [X81,X82,X83] :
      ( ( ~ greater(stock_of_knowledge(X81,X82),stock_of_knowledge(X81,X83))
        | ~ smaller_or_equal(internal_friction(X81,X82),internal_friction(X81,X83))
        | greater(capability(X81,X82),capability(X81,X83))
        | ~ epred2_3(X83,X82,X81) )
      & ( ~ smaller_or_equal(stock_of_knowledge(X81,X82),stock_of_knowledge(X81,X83))
        | ~ greater(internal_friction(X81,X82),internal_friction(X81,X83))
        | smaller(capability(X81,X82),capability(X81,X83))
        | ~ epred2_3(X83,X82,X81) )
      & ( stock_of_knowledge(X81,X82) != stock_of_knowledge(X81,X83)
        | internal_friction(X81,X82) != internal_friction(X81,X83)
        | capability(X81,X82) = capability(X81,X83)
        | ~ epred2_3(X83,X82,X81) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).

fof(c_0_39,plain,
    ! [X72,X73,X74] :
      ( ~ organization(X72)
      | internal_friction(X72,X74) = internal_friction(X72,X73) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_9])]) ).

fof(c_0_40,plain,
    ! [X60,X61,X62] :
      ( ~ organization(X60)
      | epred2_3(X61,X62,X60) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).

fof(c_0_41,plain,
    ! [X66,X67,X68] :
      ( ~ organization(X66)
      | ~ greater(age(X66,X68),age(X66,X67))
      | greater(stock_of_knowledge(X66,X68),stock_of_knowledge(X66,X67)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_7])]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ epred1_3(esk2_0,esk3_0,esk1_0)
    | ~ greater(position(esk1_0,esk3_0),position(esk1_0,esk2_0))
    | ~ greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_43,negated_conjecture,
    greater(position(esk1_0,esk3_0),position(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_28])]) ).

cnf(c_0_44,negated_conjecture,
    ( epred1_3(X1,X2,esk1_0)
    | has_immunity(esk1_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_28])]),c_0_37]) ).

cnf(c_0_45,plain,
    ( greater(capability(X1,X2),capability(X1,X3))
    | ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X3))
    | ~ epred2_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_46,plain,
    ( internal_friction(X1,X2) = internal_friction(X1,X3)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_47,plain,
    ( epred2_3(X2,X3,X1)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_48,plain,
    ( greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ epred1_3(esk2_0,esk3_0,esk1_0)
    | ~ greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).

cnf(c_0_50,negated_conjecture,
    epred1_3(X1,X2,esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_44]),c_0_28])]),c_0_37]) ).

fof(c_0_51,plain,
    ! [X42,X43] :
      ( ( ~ smaller_or_equal(X42,X43)
        | smaller(X42,X43)
        | X42 = X43 )
      & ( ~ smaller(X42,X43)
        | smaller_or_equal(X42,X43) )
      & ( X42 != X43
        | smaller_or_equal(X42,X43) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).

cnf(c_0_52,plain,
    ( greater(capability(X1,X2),capability(X1,X3))
    | ~ organization(X1)
    | ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X4)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

cnf(c_0_53,negated_conjecture,
    greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_34]),c_0_28])]) ).

cnf(c_0_54,negated_conjecture,
    ~ greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).

cnf(c_0_55,plain,
    ( smaller_or_equal(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    ~ smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,X1)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_28])]),c_0_54]) ).

cnf(c_0_57,plain,
    smaller_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_56,c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT046+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n031.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Mon May  4 23:32:08 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.31/1.74  % Version  : CSE_E---1.7
% 1.31/1.74  % Problem  : theBenchmark.p
% 1.31/1.74  % SZS status Theorem for theBenchmark.p
% 1.31/1.74  % SZS output start CNFRefutation
% See solution above
% 1.31/1.74  % Total time : 1.370s
%------------------------------------------------------------------------------