TSTP Solution File: MGT062+1 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : MGT062+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 : Mon Jun 24 11:47:04 EDT 2024

% Result   : Theorem 0.21s 0.55s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   81 (  25 unt;   0 def)
%            Number of atoms       :  304 (  54 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  338 ( 115   ~; 112   |;  74   &)
%                                         (   8 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-2 aty)
%            Number of variables   :  107 (   5 sgn  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(theorem_8,conjecture,
    ! [X1,X5,X6,X7] :
      ( ( organization(X1)
        & robust_position(X1)
        & ~ has_endowment(X1)
        & age(X1,X5) = zero
        & greater(sigma,zero)
        & greater(tau,zero)
        & sigma = tau
        & smaller_or_equal(age(X1,X6),sigma)
        & greater(age(X1,X7),sigma) )
     => ( smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
        & hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRftvYDEtL/E---3.1_9035.p',theorem_8) ).

fof(assumption_1,axiom,
    ! [X1,X4] :
      ( ( organization(X1)
        & ~ has_endowment(X1) )
     => ~ has_immunity(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRftvYDEtL/E---3.1_9035.p',assumption_1) ).

fof(assumption_17,axiom,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low )
        & ( ~ has_immunity(X1,X4)
         => ( ( ( is_aligned(X1,X4)
                & positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = low )
            & ( ( ~ is_aligned(X1,X4)
                & positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod1 )
            & ( ( is_aligned(X1,X4)
                & ~ positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod2 )
            & ( ( ~ is_aligned(X1,X4)
                & ~ positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = high ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRftvYDEtL/E---3.1_9035.p',assumption_17) ).

fof(assumption_13,axiom,
    ! [X1,X4] :
      ( ( organization(X1)
        & age(X1,X4) = zero )
     => is_aligned(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRftvYDEtL/E---3.1_9035.p',assumption_13) ).

fof(assumption_15,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & age(X1,X5) = zero )
     => ( greater(age(X1,X4),sigma)
      <=> dissimilar(X1,X5,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRftvYDEtL/E---3.1_9035.p',assumption_15) ).

fof(definition_2,axiom,
    ! [X1,X5,X4] :
      ( dissimilar(X1,X5,X4)
    <=> ( organization(X1)
        & ~ ( is_aligned(X1,X5)
          <=> is_aligned(X1,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRftvYDEtL/E---3.1_9035.p',definition_2) ).

fof(definition_4,axiom,
    ! [X1] :
      ( robust_position(X1)
    <=> ! [X4] :
          ( ( smaller_or_equal(age(X1,X4),tau)
           => ~ positional_advantage(X1,X4) )
          & ( greater(age(X1,X4),tau)
           => positional_advantage(X1,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRftvYDEtL/E---3.1_9035.p',definition_4) ).

fof(definition_smaller,axiom,
    ! [X1,X2] :
      ( smaller(X1,X2)
    <=> greater(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRftvYDEtL/E---3.1_9035.p',definition_smaller) ).

fof(assumption_19,axiom,
    greater(mod2,mod1),
    file('/export/starexec/sandbox2/tmp/tmp.JRftvYDEtL/E---3.1_9035.p',assumption_19) ).

fof(definition_smaller_or_equal,axiom,
    ! [X1,X2] :
      ( smaller_or_equal(X1,X2)
    <=> ( smaller(X1,X2)
        | X1 = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRftvYDEtL/E---3.1_9035.p',definition_smaller_or_equal) ).

fof(c_0_10,plain,
    ! [X1,X4] :
      ( epred1_2(X4,X1)
    <=> ( ( ( is_aligned(X1,X4)
            & positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = low )
        & ( ( ~ is_aligned(X1,X4)
            & positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod1 )
        & ( ( is_aligned(X1,X4)
            & ~ positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod2 )
        & ( ( ~ is_aligned(X1,X4)
            & ~ positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = high ) ) ),
    introduced(definition) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1,X5,X6,X7] :
        ( ( organization(X1)
          & robust_position(X1)
          & ~ has_endowment(X1)
          & age(X1,X5) = zero
          & greater(sigma,zero)
          & greater(tau,zero)
          & sigma = tau
          & smaller_or_equal(age(X1,X6),sigma)
          & greater(age(X1,X7),sigma) )
       => ( smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
          & hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_8])]) ).

fof(c_0_12,plain,
    ! [X1,X4] :
      ( ( organization(X1)
        & ~ has_endowment(X1) )
     => ~ has_immunity(X1,X4) ),
    inference(fof_simplification,[status(thm)],[assumption_1]) ).

fof(c_0_13,plain,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low )
        & ( ~ has_immunity(X1,X4)
         => epred1_2(X4,X1) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_17]),c_0_10]) ).

fof(c_0_14,plain,
    ! [X34,X35] :
      ( ~ organization(X34)
      | age(X34,X35) != zero
      | is_aligned(X34,X35) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])])]) ).

fof(c_0_15,negated_conjecture,
    ( organization(esk1_0)
    & robust_position(esk1_0)
    & ~ has_endowment(esk1_0)
    & age(esk1_0,esk2_0) = zero
    & greater(sigma,zero)
    & greater(tau,zero)
    & sigma = tau
    & smaller_or_equal(age(esk1_0,esk3_0),sigma)
    & greater(age(esk1_0,esk4_0),sigma)
    & ( ~ smaller(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0))
      | hazard_of_mortality(esk1_0,esk3_0) != hazard_of_mortality(esk1_0,esk2_0) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

fof(c_0_16,plain,
    ! [X36,X37] :
      ( ~ organization(X36)
      | has_endowment(X36)
      | ~ has_immunity(X36,X37) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

fof(c_0_17,plain,
    ! [X12,X13] :
      ( ( ~ has_immunity(X12,X13)
        | hazard_of_mortality(X12,X13) = very_low
        | ~ organization(X12) )
      & ( has_immunity(X12,X13)
        | epred1_2(X13,X12)
        | ~ organization(X12) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).

fof(c_0_18,plain,
    ! [X25,X26,X27] :
      ( ( ~ greater(age(X25,X27),sigma)
        | dissimilar(X25,X26,X27)
        | ~ organization(X25)
        | age(X25,X26) != zero )
      & ( ~ dissimilar(X25,X26,X27)
        | greater(age(X25,X27),sigma)
        | ~ organization(X25)
        | age(X25,X26) != zero ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])])]) ).

fof(c_0_19,plain,
    ! [X38,X39,X40] :
      ( ( organization(X38)
        | ~ dissimilar(X38,X39,X40) )
      & ( ~ is_aligned(X38,X39)
        | ~ is_aligned(X38,X40)
        | ~ dissimilar(X38,X39,X40) )
      & ( is_aligned(X38,X39)
        | is_aligned(X38,X40)
        | ~ dissimilar(X38,X39,X40) )
      & ( ~ is_aligned(X38,X39)
        | is_aligned(X38,X40)
        | ~ organization(X38)
        | dissimilar(X38,X39,X40) )
      & ( ~ is_aligned(X38,X40)
        | is_aligned(X38,X39)
        | ~ organization(X38)
        | dissimilar(X38,X39,X40) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])])]) ).

cnf(c_0_20,plain,
    ( is_aligned(X1,X2)
    | ~ organization(X1)
    | age(X1,X2) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    age(esk1_0,esk2_0) = zero,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    organization(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_23,plain,
    ! [X1,X4] :
      ( epred1_2(X4,X1)
     => ( ( ( is_aligned(X1,X4)
            & positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = low )
        & ( ( ~ is_aligned(X1,X4)
            & positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod1 )
        & ( ( is_aligned(X1,X4)
            & ~ positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod2 )
        & ( ( ~ is_aligned(X1,X4)
            & ~ positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = high ) ) ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

cnf(c_0_24,plain,
    ( has_endowment(X1)
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,plain,
    ( has_immunity(X1,X2)
    | epred1_2(X2,X1)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_26,plain,
    ! [X1] :
      ( robust_position(X1)
    <=> ! [X4] :
          ( ( smaller_or_equal(age(X1,X4),tau)
           => ~ positional_advantage(X1,X4) )
          & ( greater(age(X1,X4),tau)
           => positional_advantage(X1,X4) ) ) ),
    inference(fof_simplification,[status(thm)],[definition_4]) ).

cnf(c_0_27,plain,
    ( dissimilar(X1,X3,X2)
    | ~ greater(age(X1,X2),sigma)
    | ~ organization(X1)
    | age(X1,X3) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28,negated_conjecture,
    sigma = tau,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_29,plain,
    ( greater(age(X1,X3),sigma)
    | ~ dissimilar(X1,X2,X3)
    | ~ organization(X1)
    | age(X1,X2) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_30,plain,
    ( organization(X1)
    | ~ dissimilar(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_31,plain,
    ( is_aligned(X1,X3)
    | dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X2)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_32,negated_conjecture,
    is_aligned(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

fof(c_0_33,plain,
    ! [X41,X42] :
      ( ( ~ is_aligned(X41,X42)
        | ~ positional_advantage(X41,X42)
        | hazard_of_mortality(X41,X42) = low
        | ~ epred1_2(X42,X41) )
      & ( is_aligned(X41,X42)
        | ~ positional_advantage(X41,X42)
        | hazard_of_mortality(X41,X42) = mod1
        | ~ epred1_2(X42,X41) )
      & ( ~ is_aligned(X41,X42)
        | positional_advantage(X41,X42)
        | hazard_of_mortality(X41,X42) = mod2
        | ~ epred1_2(X42,X41) )
      & ( is_aligned(X41,X42)
        | positional_advantage(X41,X42)
        | hazard_of_mortality(X41,X42) = high
        | ~ epred1_2(X42,X41) ) ),
    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_34,negated_conjecture,
    ~ has_endowment(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_35,plain,
    ( epred1_2(X1,X2)
    | has_endowment(X2)
    | ~ organization(X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

fof(c_0_36,plain,
    ! [X28,X29,X30,X31] :
      ( ( ~ smaller_or_equal(age(X28,X29),tau)
        | ~ positional_advantage(X28,X29)
        | ~ robust_position(X28) )
      & ( ~ greater(age(X28,X30),tau)
        | positional_advantage(X28,X30)
        | ~ robust_position(X28) )
      & ( greater(age(X31,esk6_1(X31)),tau)
        | smaller_or_equal(age(X31,esk5_1(X31)),tau)
        | robust_position(X31) )
      & ( ~ positional_advantage(X31,esk6_1(X31))
        | smaller_or_equal(age(X31,esk5_1(X31)),tau)
        | robust_position(X31) )
      & ( greater(age(X31,esk6_1(X31)),tau)
        | positional_advantage(X31,esk5_1(X31))
        | robust_position(X31) )
      & ( ~ positional_advantage(X31,esk6_1(X31))
        | positional_advantage(X31,esk5_1(X31))
        | robust_position(X31) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])])])]) ).

cnf(c_0_37,negated_conjecture,
    greater(age(esk1_0,esk4_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_38,plain,
    ( dissimilar(X1,X2,X3)
    | age(X1,X2) != zero
    | ~ organization(X1)
    | ~ greater(age(X1,X3),tau) ),
    inference(rw,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_39,plain,
    ( greater(age(X1,X2),tau)
    | age(X1,X3) != zero
    | ~ dissimilar(X1,X3,X2) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_28]),c_0_30]) ).

cnf(c_0_40,negated_conjecture,
    ( is_aligned(esk1_0,X1)
    | dissimilar(esk1_0,esk2_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_22])]) ).

cnf(c_0_41,plain,
    ( positional_advantage(X1,X2)
    | hazard_of_mortality(X1,X2) = mod2
    | ~ is_aligned(X1,X2)
    | ~ epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_42,negated_conjecture,
    epred1_2(X1,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_22])]) ).

cnf(c_0_43,plain,
    ( is_aligned(X1,X2)
    | hazard_of_mortality(X1,X2) = mod1
    | ~ positional_advantage(X1,X2)
    | ~ epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_44,plain,
    ( positional_advantage(X1,X2)
    | ~ greater(age(X1,X2),tau)
    | ~ robust_position(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_45,negated_conjecture,
    greater(age(esk1_0,esk4_0),tau),
    inference(rw,[status(thm)],[c_0_37,c_0_28]) ).

cnf(c_0_46,negated_conjecture,
    robust_position(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_47,negated_conjecture,
    ( dissimilar(esk1_0,esk2_0,X1)
    | ~ greater(age(esk1_0,X1),tau) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_21]),c_0_22])]) ).

cnf(c_0_48,negated_conjecture,
    ( is_aligned(esk1_0,X1)
    | greater(age(esk1_0,X1),tau) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_21])]) ).

cnf(c_0_49,plain,
    ( hazard_of_mortality(esk1_0,X1) = mod2
    | positional_advantage(esk1_0,X1)
    | ~ is_aligned(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_50,plain,
    ( hazard_of_mortality(esk1_0,X1) = mod1
    | is_aligned(esk1_0,X1)
    | ~ positional_advantage(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    positional_advantage(esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).

cnf(c_0_52,plain,
    ( ~ is_aligned(X1,X2)
    | ~ is_aligned(X1,X3)
    | ~ dissimilar(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_53,negated_conjecture,
    dissimilar(esk1_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_47,c_0_45]) ).

cnf(c_0_54,plain,
    ( ~ smaller_or_equal(age(X1,X2),tau)
    | ~ positional_advantage(X1,X2)
    | ~ robust_position(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_55,negated_conjecture,
    ( positional_advantage(esk1_0,X1)
    | is_aligned(esk1_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_48]),c_0_46])]) ).

cnf(c_0_56,negated_conjecture,
    smaller_or_equal(age(esk1_0,esk3_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ smaller(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0))
    | hazard_of_mortality(esk1_0,esk3_0) != hazard_of_mortality(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_58,negated_conjecture,
    ( hazard_of_mortality(esk1_0,esk2_0) = mod2
    | positional_advantage(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_32]) ).

cnf(c_0_59,negated_conjecture,
    ( hazard_of_mortality(esk1_0,esk4_0) = mod1
    | is_aligned(esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_60,negated_conjecture,
    ~ is_aligned(esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_32])]) ).

cnf(c_0_61,negated_conjecture,
    ( is_aligned(esk1_0,X1)
    | ~ smaller_or_equal(age(esk1_0,X1),tau) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_46])]) ).

cnf(c_0_62,negated_conjecture,
    smaller_or_equal(age(esk1_0,esk3_0),tau),
    inference(rw,[status(thm)],[c_0_56,c_0_28]) ).

fof(c_0_63,plain,
    ! [X16,X17] :
      ( ( ~ smaller(X16,X17)
        | greater(X17,X16) )
      & ( ~ greater(X17,X16)
        | smaller(X16,X17) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])]) ).

cnf(c_0_64,negated_conjecture,
    greater(sigma,zero),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_65,negated_conjecture,
    ( positional_advantage(esk1_0,esk2_0)
    | hazard_of_mortality(esk1_0,esk3_0) != mod2
    | ~ smaller(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_66,negated_conjecture,
    hazard_of_mortality(esk1_0,esk4_0) = mod1,
    inference(sr,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_67,negated_conjecture,
    is_aligned(esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_68,plain,
    ( smaller(X2,X1)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_69,plain,
    greater(mod2,mod1),
    inference(split_conjunct,[status(thm)],[assumption_19]) ).

fof(c_0_70,plain,
    ! [X14,X15] :
      ( ( ~ smaller_or_equal(X14,X15)
        | smaller(X14,X15)
        | X14 = X15 )
      & ( ~ smaller(X14,X15)
        | smaller_or_equal(X14,X15) )
      & ( X14 != X15
        | smaller_or_equal(X14,X15) ) ),
    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_71,negated_conjecture,
    greater(tau,zero),
    inference(rw,[status(thm)],[c_0_64,c_0_28]) ).

cnf(c_0_72,negated_conjecture,
    ( positional_advantage(esk1_0,esk2_0)
    | hazard_of_mortality(esk1_0,esk3_0) != mod2
    | ~ smaller(mod1,hazard_of_mortality(esk1_0,esk3_0)) ),
    inference(rw,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,plain,
    ( hazard_of_mortality(esk1_0,esk3_0) = mod2
    | positional_advantage(esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_67]) ).

cnf(c_0_74,plain,
    smaller(mod1,mod2),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_75,plain,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_76,negated_conjecture,
    smaller(zero,tau),
    inference(spm,[status(thm)],[c_0_68,c_0_71]) ).

cnf(c_0_77,negated_conjecture,
    ( positional_advantage(esk1_0,esk3_0)
    | positional_advantage(esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).

cnf(c_0_78,negated_conjecture,
    smaller_or_equal(zero,tau),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_79,negated_conjecture,
    positional_advantage(esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_77]),c_0_46]),c_0_21]),c_0_78])]) ).

cnf(c_0_80,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_79]),c_0_46]),c_0_62])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : MGT062+1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Wed Jun 19 18:05:09 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.21/0.52  Running first-order theorem proving
% 0.21/0.52  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/tmp/tmp.JRftvYDEtL/E---3.1_9035.p
% 0.21/0.55  # Version: 3.2.0
% 0.21/0.55  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55  # Starting sh5l with 300s (1) cores
% 0.21/0.55  # sh5l with pid 9117 completed with status 0
% 0.21/0.55  # Result found by sh5l
% 0.21/0.55  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55  # Starting sh5l with 300s (1) cores
% 0.21/0.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.55  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.21/0.55  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.21/0.55  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 9119 completed with status 0
% 0.21/0.55  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 0.21/0.55  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55  # Starting sh5l with 300s (1) cores
% 0.21/0.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.55  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.21/0.55  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.21/0.55  # Preprocessing time       : 0.002 s
% 0.21/0.55  # Presaturation interreduction done
% 0.21/0.55  
% 0.21/0.55  # Proof found!
% 0.21/0.55  # SZS status Theorem
% 0.21/0.55  # SZS output start CNFRefutation
% See solution above
% 0.21/0.55  # Parsed axioms                        : 14
% 0.21/0.55  # Removed by relevancy pruning/SinE    : 1
% 0.21/0.55  # Initial clauses                      : 40
% 0.21/0.55  # Removed in clause preprocessing      : 0
% 0.21/0.55  # Initial clauses in saturation        : 40
% 0.21/0.55  # Processed clauses                    : 158
% 0.21/0.55  # ...of these trivial                  : 2
% 0.21/0.55  # ...subsumed                          : 11
% 0.21/0.55  # ...remaining for further processing  : 145
% 0.21/0.55  # Other redundant clauses eliminated   : 1
% 0.21/0.55  # Clauses deleted for lack of memory   : 0
% 0.21/0.55  # Backward-subsumed                    : 5
% 0.21/0.55  # Backward-rewritten                   : 5
% 0.21/0.55  # Generated clauses                    : 174
% 0.21/0.55  # ...of the previous two non-redundant : 128
% 0.21/0.55  # ...aggressively subsumed             : 0
% 0.21/0.55  # Contextual simplify-reflections      : 1
% 0.21/0.55  # Paramodulations                      : 170
% 0.21/0.55  # Factorizations                       : 2
% 0.21/0.55  # NegExts                              : 0
% 0.21/0.55  # Equation resolutions                 : 1
% 0.21/0.55  # Disequality decompositions           : 0
% 0.21/0.55  # Total rewrite steps                  : 82
% 0.21/0.55  # ...of those cached                   : 62
% 0.21/0.55  # Propositional unsat checks           : 0
% 0.21/0.55  #    Propositional check models        : 0
% 0.21/0.55  #    Propositional check unsatisfiable : 0
% 0.21/0.55  #    Propositional clauses             : 0
% 0.21/0.55  #    Propositional clauses after purity: 0
% 0.21/0.55  #    Propositional unsat core size     : 0
% 0.21/0.55  #    Propositional preprocessing time  : 0.000
% 0.21/0.55  #    Propositional encoding time       : 0.000
% 0.21/0.55  #    Propositional solver time         : 0.000
% 0.21/0.55  #    Success case prop preproc time    : 0.000
% 0.21/0.55  #    Success case prop encoding time   : 0.000
% 0.21/0.55  #    Success case prop solver time     : 0.000
% 0.21/0.55  # Current number of processed clauses  : 94
% 0.21/0.55  #    Positive orientable unit clauses  : 25
% 0.21/0.55  #    Positive unorientable unit clauses: 0
% 0.21/0.55  #    Negative unit clauses             : 7
% 0.21/0.55  #    Non-unit-clauses                  : 62
% 0.21/0.55  # Current number of unprocessed clauses: 46
% 0.21/0.55  # ...number of literals in the above   : 159
% 0.21/0.55  # Current number of archived formulas  : 0
% 0.21/0.55  # Current number of archived clauses   : 50
% 0.21/0.55  # Clause-clause subsumption calls (NU) : 652
% 0.21/0.55  # Rec. Clause-clause subsumption calls : 475
% 0.21/0.55  # Non-unit clause-clause subsumptions  : 14
% 0.21/0.55  # Unit Clause-clause subsumption calls : 67
% 0.21/0.55  # Rewrite failures with RHS unbound    : 0
% 0.21/0.55  # BW rewrite match attempts            : 7
% 0.21/0.55  # BW rewrite match successes           : 3
% 0.21/0.55  # Condensation attempts                : 0
% 0.21/0.55  # Condensation successes               : 0
% 0.21/0.55  # Termbank termtop insertions          : 4834
% 0.21/0.55  # Search garbage collected termcells   : 589
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.013 s
% 0.21/0.55  # System time              : 0.003 s
% 0.21/0.55  # Total time               : 0.016 s
% 0.21/0.55  # Maximum resident set size: 1876 pages
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.016 s
% 0.21/0.55  # System time              : 0.004 s
% 0.21/0.55  # Total time               : 0.020 s
% 0.21/0.55  # Maximum resident set size: 1700 pages
% 0.21/0.55  % E---3.1 exiting
% 0.21/0.55  % E exiting
%------------------------------------------------------------------------------