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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : MGT046+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 : Thu Sep 24 01:26:54 PM UTC 2026

% Result   : Theorem 0.10s 0.46s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   58 (  12 unt;   0 def)
%            Number of atoms       :  226 (  38 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  249 (  81   ~;  72   |;  57   &)
%                                         (   4 <=>;  35  =>;   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   :  128 (  10 sgn  83   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(theorem_1,conjecture,
    ! [X1,X5,X4] :
      ( ( greater(age(X1,X4),age(X1,X5))
        & ~ has_endowment(X1)
        & organization(X1) )
     => 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] :
      ( ( ~ has_immunity(X1,X4)
        & ~ has_immunity(X1,X5)
        & organization(X1) )
     => ( ( ( position(X1,X4) = position(X1,X5)
            & capability(X1,X4) = capability(X1,X5) )
         => hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) )
        & ( ( greater(position(X1,X4),position(X1,X5))
            & greater_or_equal(capability(X1,X4),capability(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( greater_or_equal(position(X1,X4),position(X1,X5))
            & greater(capability(X1,X4),capability(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4) ).

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

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

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

fof(assumption_5,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => ( ( ( internal_friction(X1,X4) = internal_friction(X1,X5)
            & stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5) )
         => capability(X1,X4) = capability(X1,X5) )
        & ( ( greater(internal_friction(X1,X4),internal_friction(X1,X5))
            & smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5)) )
         => smaller(capability(X1,X4),capability(X1,X5)) )
        & ( ( smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5))
            & greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5)) )
         => greater(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] :
      ( ( greater(age(X1,X4),age(X1,X5))
        & organization(X1) )
     => greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7) ).

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

fof(definition_smaller_or_equal,axiom,
    ! [X1,X2] :
      ( smaller_or_equal(X1,X2)
    <=> ( X1 = X2
        | smaller(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)
    <=> ( ( ( position(X1,X4) = position(X1,X5)
            & capability(X1,X4) = capability(X1,X5) )
         => hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) )
        & ( ( greater(position(X1,X4),position(X1,X5))
            & greater_or_equal(capability(X1,X4),capability(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( greater_or_equal(position(X1,X4),position(X1,X5))
            & greater(capability(X1,X4),capability(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ) ) ),
    introduced(definition) ).

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

fof(c_0_12,plain,
    ! [X1,X5,X4] :
      ( ( ~ has_immunity(X1,X4)
        & ~ has_immunity(X1,X5)
        & organization(X1) )
     => epred1_3(X5,X4,X1) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_4]),c_0_10]) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1,X5,X4] :
        ( ( greater(age(X1,X4),age(X1,X5))
          & ~ has_endowment(X1)
          & organization(X1) )
       => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_14,plain,
    ! [X1,X4] :
      ( ( ~ has_endowment(X1)
        & organization(X1) )
     => ~ has_immunity(X1,X4) ),
    inference(fof_simplification,[status(thm)],[assumption_1]) ).

fof(c_0_15,plain,
    ! [X21,X22,X23] :
      ( epred1_3(X22,X23,X21)
      | has_immunity(X21,X23)
      | has_immunity(X21,X22)
      | ~ organization(X21) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

fof(c_0_16,negated_conjecture,
    ( ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0))
    & greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0))
    & ~ has_endowment(esk1_0)
    & organization(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).

fof(c_0_17,plain,
    ! [X19,X20] :
      ( ~ has_immunity(X19,X20)
      | has_endowment(X19)
      | ~ organization(X19) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

cnf(c_0_18,plain,
    ( ~ organization(X1)
    | epred1_3(X2,X3,X1)
    | has_immunity(X1,X3)
    | has_immunity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    organization(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_20,plain,
    ! [X27,X28,X29] :
      ( ( ~ organization(X27)
        | position(X27,X29) = position(X27,X28)
        | external_ties(X27,X29) != external_ties(X27,X28) )
      & ( ~ organization(X27)
        | greater(position(X27,X29),position(X27,X28))
        | ~ greater(external_ties(X27,X29),external_ties(X27,X28)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])])]) ).

fof(c_0_21,plain,
    ! [X33,X34,X35] :
      ( greater(external_ties(X33,X35),external_ties(X33,X34))
      | ~ greater(age(X33,X35),age(X33,X34))
      | ~ organization(X33) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_8])])]) ).

fof(c_0_22,plain,
    ! [X1,X4,X5] :
      ( epred2_3(X5,X4,X1)
    <=> ( ( ( internal_friction(X1,X4) = internal_friction(X1,X5)
            & stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5) )
         => capability(X1,X4) = capability(X1,X5) )
        & ( ( greater(internal_friction(X1,X4),internal_friction(X1,X5))
            & smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5)) )
         => smaller(capability(X1,X4),capability(X1,X5)) )
        & ( ( smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5))
            & greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5)) )
         => greater(capability(X1,X4),capability(X1,X5)) ) ) ),
    introduced(definition) ).

fof(c_0_23,plain,
    ! [X1,X4,X5] :
      ( epred1_3(X5,X4,X1)
     => ( ( ( position(X1,X4) = position(X1,X5)
            & capability(X1,X4) = capability(X1,X5) )
         => hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) )
        & ( ( greater(position(X1,X4),position(X1,X5))
            & greater_or_equal(capability(X1,X4),capability(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
        & ( ( greater_or_equal(position(X1,X4),position(X1,X5))
            & greater(capability(X1,X4),capability(X1,X5)) )
         => smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

cnf(c_0_24,plain,
    ( ~ has_immunity(X1,X2)
    | ~ organization(X1)
    | has_endowment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    ( has_immunity(esk1_0,X2)
    | has_immunity(esk1_0,X1)
    | epred1_3(X1,X2,esk1_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    ~ has_endowment(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_27,plain,
    ( ~ organization(X1)
    | ~ greater(external_ties(X1,X2),external_ties(X1,X3))
    | greater(position(X1,X2),position(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,plain,
    ( ~ greater(age(X1,X2),age(X1,X3))
    | ~ organization(X1)
    | greater(external_ties(X1,X2),external_ties(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_29,plain,
    ! [X1,X4,X5] :
      ( epred2_3(X5,X4,X1)
     => ( ( ( internal_friction(X1,X4) = internal_friction(X1,X5)
            & stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5) )
         => capability(X1,X4) = capability(X1,X5) )
        & ( ( greater(internal_friction(X1,X4),internal_friction(X1,X5))
            & smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5)) )
         => smaller(capability(X1,X4),capability(X1,X5)) )
        & ( ( smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5))
            & greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5)) )
         => greater(capability(X1,X4),capability(X1,X5)) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_22]) ).

fof(c_0_30,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => epred2_3(X5,X4,X1) ),
    inference(apply_def,[status(thm)],[assumption_5,c_0_22]) ).

fof(c_0_31,plain,
    ! [X42,X43,X44] :
      ( ( ~ epred1_3(X44,X43,X42)
        | hazard_of_mortality(X42,X43) = hazard_of_mortality(X42,X44)
        | position(X42,X43) != position(X42,X44)
        | capability(X42,X43) != capability(X42,X44) )
      & ( ~ epred1_3(X44,X43,X42)
        | smaller(hazard_of_mortality(X42,X43),hazard_of_mortality(X42,X44))
        | ~ greater(position(X42,X43),position(X42,X44))
        | ~ greater_or_equal(capability(X42,X43),capability(X42,X44)) )
      & ( ~ epred1_3(X44,X43,X42)
        | smaller(hazard_of_mortality(X42,X43),hazard_of_mortality(X42,X44))
        | ~ greater_or_equal(position(X42,X43),position(X42,X44))
        | ~ greater(capability(X42,X43),capability(X42,X44)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).

cnf(c_0_32,negated_conjecture,
    ( has_immunity(esk1_0,X1)
    | epred1_3(X1,X2,esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19])]),c_0_26]) ).

cnf(c_0_33,plain,
    ( ~ greater(age(X1,X2),age(X1,X3))
    | ~ organization(X1)
    | greater(position(X1,X2),position(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_35,plain,
    ! [X45,X46,X47] :
      ( ( ~ epred2_3(X47,X46,X45)
        | capability(X45,X46) = capability(X45,X47)
        | internal_friction(X45,X46) != internal_friction(X45,X47)
        | stock_of_knowledge(X45,X46) != stock_of_knowledge(X45,X47) )
      & ( ~ epred2_3(X47,X46,X45)
        | smaller(capability(X45,X46),capability(X45,X47))
        | ~ greater(internal_friction(X45,X46),internal_friction(X45,X47))
        | ~ smaller_or_equal(stock_of_knowledge(X45,X46),stock_of_knowledge(X45,X47)) )
      & ( ~ epred2_3(X47,X46,X45)
        | greater(capability(X45,X46),capability(X45,X47))
        | ~ smaller_or_equal(internal_friction(X45,X46),internal_friction(X45,X47))
        | ~ greater(stock_of_knowledge(X45,X46),stock_of_knowledge(X45,X47)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).

fof(c_0_36,plain,
    ! [X36,X37,X38] :
      ( internal_friction(X36,X38) = internal_friction(X36,X37)
      | ~ organization(X36) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_9])])]) ).

fof(c_0_37,plain,
    ! [X24,X25,X26] :
      ( epred2_3(X25,X26,X24)
      | ~ organization(X24) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).

fof(c_0_38,plain,
    ! [X30,X31,X32] :
      ( greater(stock_of_knowledge(X30,X32),stock_of_knowledge(X30,X31))
      | ~ greater(age(X30,X32),age(X30,X31))
      | ~ organization(X30) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_7])])]) ).

cnf(c_0_39,negated_conjecture,
    ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_40,plain,
    ( ~ epred1_3(X3,X2,X1)
    | ~ greater(position(X1,X2),position(X1,X3))
    | ~ greater_or_equal(capability(X1,X2),capability(X1,X3))
    | smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_41,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_24,c_0_32]),c_0_19])]),c_0_26]) ).

cnf(c_0_42,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_19])]) ).

fof(c_0_43,plain,
    ! [X8,X9] :
      ( ( greater_or_equal(X8,X9)
        | X8 != X9 )
      & ( greater_or_equal(X8,X9)
        | ~ greater(X8,X9) )
      & ( X8 = X9
        | greater(X8,X9)
        | ~ greater_or_equal(X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_greater_or_equal])])])]) ).

cnf(c_0_44,plain,
    ( ~ epred2_3(X3,X2,X1)
    | ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X3))
    | ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | greater(capability(X1,X2),capability(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_45,plain,
    ( ~ organization(X1)
    | internal_friction(X1,X2) = internal_friction(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_46,plain,
    ( ~ organization(X1)
    | epred2_3(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_47,plain,
    ( ~ greater(age(X1,X2),age(X1,X3))
    | ~ organization(X1)
    | greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,negated_conjecture,
    ~ greater_or_equal(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]) ).

cnf(c_0_49,plain,
    ( ~ greater(X1,X2)
    | greater_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_50,plain,
    ! [X6,X7] :
      ( ( smaller_or_equal(X6,X7)
        | X6 != X7 )
      & ( smaller_or_equal(X6,X7)
        | ~ smaller(X6,X7) )
      & ( X6 = X7
        | smaller(X6,X7)
        | ~ smaller_or_equal(X6,X7) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])])]) ).

cnf(c_0_51,plain,
    ( ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X4))
    | ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ organization(X1)
    | greater(capability(X1,X2),capability(X1,X3)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).

cnf(c_0_52,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_47,c_0_34]),c_0_19])]) ).

cnf(c_0_53,negated_conjecture,
    ~ greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,plain,
    ( X1 != X2
    | smaller_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_55,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_51,c_0_52]),c_0_19])]),c_0_53]) ).

cnf(c_0_56,plain,
    smaller_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_54]) ).

cnf(c_0_57,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_55,c_0_56]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT046+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n020.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 01:24:49 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.46  % Version: 3.5.1
% 0.10/0.46  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.10/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.10/0.46  % Starting sh5l with 300s (1) cores
% 0.10/0.46  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1696087 completed with status 0
% 0.10/0.46  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.46  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.46  % No SInE strategy applied
% 0.10/0.46  % Search class: FGHSF-FFMF22-SFFFFFNN
% 0.10/0.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.46  % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.46  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.10/0.46  % Starting new_bool_3 with 136s (1) cores
% 0.10/0.46  % Starting new_bool_1 with 136s (1) cores
% 0.10/0.46  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1696093 completed with status 0
% 0.10/0.46  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.46  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.46  % No SInE strategy applied
% 0.10/0.46  % Search class: FGHSF-FFMF22-SFFFFFNN
% 0.10/0.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.46  % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.46  % Preprocessing time       : 0.002 s
% 0.10/0.46  % Presaturation interreduction done
% 0.10/0.46  
% 0.10/0.46  % Proof found!
% 0.10/0.46  % SZS status Theorem
% 0.10/0.46  % SZS output start CNFRefutation
% See solution above
% 0.10/0.46  % Parsed axioms                        : 14
% 0.10/0.46  % Removed by relevancy pruning/SinE    : 0
% 0.10/0.46  % Initial clauses                      : 29
% 0.10/0.46  % Removed in clause preprocessing      : 0
% 0.10/0.46  % Initial clauses in saturation        : 29
% 0.10/0.46  % Processed clauses                    : 173
% 0.10/0.46  % ...of these trivial                  : 2
% 0.10/0.46  % ...subsumed                          : 45
% 0.10/0.46  % ...remaining for further processing  : 126
% 0.10/0.46  % Other redundant clauses eliminated   : 2
% 0.10/0.46  % Clauses deleted for lack of memory   : 0
% 0.10/0.46  % Backward-subsumed                    : 3
% 0.10/0.46  % Backward-rewritten                   : 1
% 0.10/0.46  % Generated clauses                    : 240
% 0.10/0.46  % ...of the previous two non-redundant : 224
% 0.10/0.46  % ...aggressively subsumed             : 0
% 0.10/0.46  % Contextual simplify-reflections      : 3
% 0.10/0.46  % Paramodulations                      : 232
% 0.10/0.46  % Factorizations                       : 4
% 0.10/0.46  % NegExts                              : 0
% 0.10/0.46  % Equation resolutions                 : 4
% 0.10/0.46  % Disequality decompositions           : 0
% 0.10/0.46  % Total rewrite steps                  : 43
% 0.10/0.46  % ...of those cached                   : 34
% 0.10/0.46  % Propositional unsat checks           : 0
% 0.10/0.46  %    Propositional check models        : 0
% 0.10/0.46  %    Propositional check unsatisfiable : 0
% 0.10/0.46  %    Propositional clauses             : 0
% 0.10/0.46  %    Propositional clauses after purity: 0
% 0.10/0.46  %    Propositional unsat core size     : 0
% 0.10/0.46  %    Propositional preprocessing time  : 0.000
% 0.10/0.46  %    Propositional encoding time       : 0.000
% 0.10/0.46  %    Propositional solver time         : 0.000
% 0.10/0.46  %    Success case prop preproc time    : 0.000
% 0.10/0.46  %    Success case prop encoding time   : 0.000
% 0.10/0.46  %    Success case prop solver time     : 0.000
% 0.10/0.46  % Current number of processed clauses  : 91
% 0.10/0.46  %    Positive orientable unit clauses  : 7
% 0.10/0.46  %    Positive unorientable unit clauses: 0
% 0.10/0.46  %    Negative unit clauses             : 10
% 0.10/0.46  %    Non-unit-clauses                  : 74
% 0.10/0.46  % Current number of unprocessed clauses: 103
% 0.10/0.46  % ...number of literals in the above   : 413
% 0.10/0.46  % Current number of archived formulas  : 0
% 0.10/0.46  % Current number of archived clauses   : 33
% 0.10/0.46  % Clause-clause subsumption calls (NU) : 1660
% 0.10/0.46  % Rec. Clause-clause subsumption calls : 1322
% 0.10/0.46  % Non-unit clause-clause subsumptions  : 40
% 0.10/0.46  % Unit Clause-clause subsumption calls : 37
% 0.10/0.46  % Rewrite failures with RHS unbound    : 0
% 0.10/0.46  % BW rewrite match attempts            : 8
% 0.10/0.46  % BW rewrite match successes           : 3
% 0.10/0.46  % Condensation attempts                : 0
% 0.10/0.46  % Condensation successes               : 0
% 0.10/0.46  % Termbank termtop insertions          : 6137
% 0.10/0.46  % Search garbage collected termcells   : 443
% 0.10/0.46  
% 0.10/0.46  % -------------------------------------------------
% 0.10/0.46  % User time                : 0.018 s
% 0.10/0.46  % System time              : 0.003 s
% 0.10/0.46  % Total time               : 0.021 s
% 0.10/0.46  % Maximum resident set size: 3600 pages
% 0.10/0.46  
% 0.10/0.46  % -------------------------------------------------
% 0.10/0.46  % User time                : 0.065 s
% 0.10/0.46  % System time              : 0.022 s
% 0.10/0.46  % Total time               : 0.087 s
% 0.10/0.46  % Maximum resident set size: 4608 pages
% 0.10/0.46  % E exiting
%------------------------------------------------------------------------------