↑ Up

E-SAT---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : MGT050+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 : 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 : Thu Sep 24 01:28:02 PM UTC 2026

% Result   : Theorem 0.65s 0.56s
% Output   : CNFRefutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   65 (  13 unt;   0 def)
%            Number of atoms       :  240 (  46 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  260 (  85   ~;  78   |;  57   &)
%                                         (   5 <=>;  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   :  144 (  18 sgn  87   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(theorem_3,conjecture,
    ! [X1,X5,X4] :
      ( ( greater(age(X1,X4),age(X1,X5))
        & ~ has_endowment(X1)
        & organization(X1) )
     => greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3) ).

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_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_1,axiom,
    ! [X1,X4] :
      ( ( ~ has_endowment(X1)
        & organization(X1) )
     => ~ has_immunity(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).

fof(assumption_10,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10) ).

fof(assumption_12,axiom,
    ! [X1,X5,X4] :
      ( ( greater(age(X1,X4),age(X1,X5))
        & organization(X1) )
     => greater(internal_friction(X1,X4),internal_friction(X1,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12) ).

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_11,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => external_ties(X1,X4) = external_ties(X1,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11) ).

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

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(c_0_11,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_12,negated_conjecture,
    ~ ! [X1,X5,X4] :
        ( ( greater(age(X1,X4),age(X1,X5))
          & ~ has_endowment(X1)
          & organization(X1) )
       => greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
    inference(assume_negation,[status(cth)],[theorem_3]) ).

fof(c_0_13,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_14,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_11]) ).

fof(c_0_15,negated_conjecture,
    ~ ! [X1,X5,X4] :
        ( ( greater(age(X1,X4),age(X1,X5))
          & ~ has_endowment(X1)
          & organization(X1) )
       => greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_16,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_13]) ).

fof(c_0_17,axiom,
    ! [X1,X5,X4] :
      ( organization(X1)
     => epred2_3(X5,X4,X1) ),
    inference(apply_def,[status(thm)],[assumption_5,c_0_13]) ).

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

fof(c_0_19,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_14])])]) ).

fof(c_0_20,negated_conjecture,
    ( ~ greater(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_15])])])]) ).

fof(c_0_21,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_16])])])]) ).

fof(c_0_22,plain,
    ! [X30,X31,X32] :
      ( stock_of_knowledge(X30,X32) = stock_of_knowledge(X30,X31)
      | ~ organization(X30) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_10])])]) ).

fof(c_0_23,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_17])])]) ).

fof(c_0_24,plain,
    ! [X36,X37,X38] :
      ( greater(internal_friction(X36,X38),internal_friction(X36,X37))
      | ~ greater(age(X36,X38),age(X36,X37))
      | ~ organization(X36) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_12])])]) ).

fof(c_0_25,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_11]) ).

fof(c_0_26,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_27,plain,
    ! [X33,X34,X35] :
      ( external_ties(X33,X35) = external_ties(X33,X34)
      | ~ organization(X33) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_11])])]) ).

fof(c_0_28,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_18])])]) ).

cnf(c_0_29,plain,
    ( ~ organization(X1)
    | epred1_3(X2,X3,X1)
    | has_immunity(X1,X3)
    | has_immunity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_30,negated_conjecture,
    organization(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31,plain,
    ( ~ epred2_3(X3,X2,X1)
    | ~ greater(internal_friction(X1,X2),internal_friction(X1,X3))
    | ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | smaller(capability(X1,X2),capability(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32,plain,
    ( ~ organization(X1)
    | stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,plain,
    ( ~ organization(X1)
    | epred2_3(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34,plain,
    ( ~ greater(age(X1,X2),age(X1,X3))
    | ~ organization(X1)
    | greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35,negated_conjecture,
    greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_36,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])])])]) ).

fof(c_0_37,plain,
    ! [X10,X11] :
      ( ( smaller(X10,X11)
        | ~ greater(X11,X10) )
      & ( greater(X11,X10)
        | ~ smaller(X10,X11) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])]) ).

fof(c_0_38,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_25])])])]) ).

cnf(c_0_39,plain,
    ( ~ organization(X1)
    | external_ties(X1,X2) != external_ties(X1,X3)
    | position(X1,X2) = position(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_40,plain,
    ( ~ organization(X1)
    | external_ties(X1,X2) = external_ties(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_41,plain,
    ( ~ has_immunity(X1,X2)
    | ~ organization(X1)
    | has_endowment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_42,negated_conjecture,
    ( has_immunity(esk1_0,X2)
    | has_immunity(esk1_0,X1)
    | epred1_3(X1,X2,esk1_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_43,negated_conjecture,
    ~ has_endowment(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_44,plain,
    ( ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X4))
    | ~ greater(internal_friction(X1,X2),internal_friction(X1,X3))
    | ~ organization(X1)
    | smaller(capability(X1,X2),capability(X1,X3)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_45,negated_conjecture,
    greater(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_30])]) ).

cnf(c_0_46,plain,
    ( X1 != X2
    | smaller_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_47,plain,
    ( ~ smaller(X1,X2)
    | greater(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_48,plain,
    ( ~ epred1_3(X3,X2,X1)
    | ~ greater_or_equal(position(X1,X2),position(X1,X3))
    | ~ greater(capability(X1,X2),capability(X1,X3))
    | smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_49,plain,
    ( ~ organization(X1)
    | position(X1,X2) = position(X1,X3) ),
    inference(csr,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_50,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_41,c_0_42]),c_0_30])]),c_0_43]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ smaller_or_equal(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,X1))
    | smaller(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_30])]) ).

cnf(c_0_52,plain,
    smaller_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_46]) ).

cnf(c_0_53,plain,
    ( ~ greater_or_equal(position(X1,X3),position(X1,X2))
    | ~ greater(capability(X1,X3),capability(X1,X2))
    | ~ epred1_3(X2,X3,X1)
    | greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    position(esk1_0,X1) = position(esk1_0,X2),
    inference(spm,[status(thm)],[c_0_49,c_0_30]) ).

cnf(c_0_55,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_41,c_0_50]),c_0_30])]),c_0_43]) ).

cnf(c_0_56,negated_conjecture,
    smaller(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

fof(c_0_57,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_58,negated_conjecture,
    ( ~ greater_or_equal(position(esk1_0,X2),position(esk1_0,X3))
    | ~ greater(capability(esk1_0,X2),capability(esk1_0,X1))
    | greater(hazard_of_mortality(esk1_0,X1),hazard_of_mortality(esk1_0,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).

cnf(c_0_59,negated_conjecture,
    greater(capability(esk1_0,esk2_0),capability(esk1_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_47,c_0_56]) ).

cnf(c_0_60,negated_conjecture,
    ~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_61,plain,
    ( X1 != X2
    | greater_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    ~ greater_or_equal(position(esk1_0,esk1_0),position(esk1_0,X1)),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_54]) ).

cnf(c_0_63,plain,
    greater_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_62,c_0_63]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT050+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n013.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 01:23:51 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44  Running first-order theorem proving
% 0.15/0.44  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
% 0.65/0.56  % Version: 3.5.1
% 0.65/0.56  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.65/0.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.56  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.65/0.56  % Starting new_bool_3 with 300s (1) cores
% 0.65/0.56  % Starting new_bool_1 with 300s (1) cores
% 0.65/0.56  % Starting sh5l with 300s (1) cores
% 0.65/0.56  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3859916 completed with status 0
% 0.65/0.56  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.65/0.56  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.65/0.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.56  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.65/0.56  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.65/0.56  % No SInE strategy applied
% 0.65/0.56  % Search class: FGHSF-FFMF22-SFFFFFNN
% 0.65/0.56  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.65/0.56  % Starting SubtermCWHack with 136s (1) cores
% 0.65/0.56  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.65/0.56  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.65/0.56  % Starting new_bool_3 with 136s (1) cores
% 0.65/0.56  % Starting new_bool_1 with 136s (1) cores
% 0.65/0.56  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3859921 completed with status 0
% 0.65/0.56  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.65/0.56  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.65/0.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.56  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.65/0.56  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.65/0.56  % No SInE strategy applied
% 0.65/0.56  % Search class: FGHSF-FFMF22-SFFFFFNN
% 0.65/0.56  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.65/0.56  % Starting SubtermCWHack with 136s (1) cores
% 0.65/0.56  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.65/0.56  % Preprocessing time       : 0.002 s
% 0.65/0.56  % Presaturation interreduction done
% 0.65/0.56  
% 0.65/0.56  % Proof found!
% 0.65/0.56  % SZS status Theorem
% 0.65/0.56  % SZS output start CNFRefutation
% See solution above
% 0.65/0.56  % Parsed axioms                        : 14
% 0.65/0.56  % Removed by relevancy pruning/SinE    : 0
% 0.65/0.56  % Initial clauses                      : 29
% 0.65/0.56  % Removed in clause preprocessing      : 0
% 0.65/0.56  % Initial clauses in saturation        : 29
% 0.65/0.56  % Processed clauses                    : 241
% 0.65/0.56  % ...of these trivial                  : 1
% 0.65/0.56  % ...subsumed                          : 78
% 0.65/0.56  % ...remaining for further processing  : 162
% 0.65/0.56  % Other redundant clauses eliminated   : 2
% 0.65/0.56  % Clauses deleted for lack of memory   : 0
% 0.65/0.56  % Backward-subsumed                    : 8
% 0.65/0.56  % Backward-rewritten                   : 2
% 0.65/0.56  % Generated clauses                    : 765
% 0.65/0.56  % ...of the previous two non-redundant : 693
% 0.65/0.56  % ...aggressively subsumed             : 0
% 0.65/0.56  % Contextual simplify-reflections      : 7
% 0.65/0.56  % Paramodulations                      : 751
% 0.65/0.56  % Factorizations                       : 10
% 0.65/0.56  % NegExts                              : 0
% 0.65/0.56  % Equation resolutions                 : 4
% 0.65/0.56  % Disequality decompositions           : 0
% 0.65/0.56  % Total rewrite steps                  : 91
% 0.65/0.56  % ...of those cached                   : 79
% 0.65/0.56  % Propositional unsat checks           : 0
% 0.65/0.56  %    Propositional check models        : 0
% 0.65/0.56  %    Propositional check unsatisfiable : 0
% 0.65/0.56  %    Propositional clauses             : 0
% 0.65/0.56  %    Propositional clauses after purity: 0
% 0.65/0.56  %    Propositional unsat core size     : 0
% 0.65/0.56  %    Propositional preprocessing time  : 0.000
% 0.65/0.56  %    Propositional encoding time       : 0.000
% 0.65/0.56  %    Propositional solver time         : 0.000
% 0.65/0.56  %    Success case prop preproc time    : 0.000
% 0.65/0.56  %    Success case prop encoding time   : 0.000
% 0.65/0.56  %    Success case prop solver time     : 0.000
% 0.65/0.56  % Current number of processed clauses  : 121
% 0.65/0.56  %    Positive orientable unit clauses  : 8
% 0.65/0.56  %    Positive unorientable unit clauses: 1
% 0.65/0.56  %    Negative unit clauses             : 7
% 0.65/0.56  %    Non-unit-clauses                  : 105
% 0.65/0.56  % Current number of unprocessed clauses: 492
% 0.65/0.56  % ...number of literals in the above   : 2923
% 0.65/0.56  % Current number of archived formulas  : 0
% 0.65/0.56  % Current number of archived clauses   : 39
% 0.65/0.56  % Clause-clause subsumption calls (NU) : 4922
% 0.65/0.56  % Rec. Clause-clause subsumption calls : 3063
% 0.65/0.56  % Non-unit clause-clause subsumptions  : 77
% 0.65/0.56  % Unit Clause-clause subsumption calls : 24
% 0.65/0.56  % Rewrite failures with RHS unbound    : 0
% 0.65/0.56  % BW rewrite match attempts            : 9
% 0.65/0.56  % BW rewrite match successes           : 4
% 0.65/0.56  % Condensation attempts                : 0
% 0.65/0.56  % Condensation successes               : 0
% 0.65/0.56  % Termbank termtop insertions          : 16470
% 0.65/0.56  % Search garbage collected termcells   : 440
% 0.65/0.56  
% 0.65/0.56  % -------------------------------------------------
% 0.65/0.56  % User time                : 0.053 s
% 0.65/0.56  % System time              : 0.007 s
% 0.65/0.56  % Total time               : 0.061 s
% 0.65/0.56  % Maximum resident set size: 3396 pages
% 0.65/0.56  
% 0.65/0.56  % -------------------------------------------------
% 0.65/0.56  % User time                : 0.231 s
% 0.65/0.56  % System time              : 0.032 s
% 0.65/0.56  % Total time               : 0.263 s
% 0.65/0.56  % Maximum resident set size: 4608 pages
% 0.65/0.56  % E exiting
%------------------------------------------------------------------------------