TSTP Solution File: MGT055+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n029.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  : 600s
% DateTime : Sun Jul 17 22:10:15 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   82 (  16 unt;   0 def)
%            Number of atoms       :  305 (  35 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  349 ( 126   ~; 147   |;  59   &)
%                                         (   6 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :  151 (  14 sgn  82   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(assumption_16,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & ~ has_immunity(X1,X5)
        & ~ has_immunity(X1,X4)
        & greater(capability(X1,X4),capability(X1,X5)) )
     => greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',assumption_16) ).

fof(assumption_3,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & has_immunity(X1,X5)
        & ~ has_immunity(X1,X4) )
     => greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',assumption_3) ).

fof(lemma_8,conjecture,
    ! [X1,X5,X6,X7,X8] :
      ( ( organization(X1)
        & has_endowment(X1)
        & age(X1,X5) = zero
        & smaller_or_equal(age(X1,X6),eta)
        & greater(age(X1,X7),eta)
        & smaller_or_equal(age(X1,X7),sigma)
        & greater(age(X1,X8),sigma)
        & greater(sigma,eta)
        & greater(eta,zero) )
     => ( greater(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X7))
        & greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
        & hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',lemma_8) ).

fof(assumption_14,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & is_aligned(X1,X5)
        & ~ is_aligned(X1,X4) )
     => greater(capability(X1,X5),capability(X1,X4)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',assumption_14) ).

fof(definition_2,axiom,
    ! [X1,X5,X4] :
      ( dissimilar(X1,X5,X4)
    <=> ( organization(X1)
        & ~ ( is_aligned(X1,X5)
          <=> is_aligned(X1,X4) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',definition_2) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',assumption_15) ).

fof(assumption_13,axiom,
    ! [X1,X4] :
      ( ( organization(X1)
        & age(X1,X4) = zero )
     => is_aligned(X1,X4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',assumption_13) ).

fof(definition_1,axiom,
    ! [X1] :
      ( has_endowment(X1)
    <=> ! [X4] :
          ( organization(X1)
          & ( smaller_or_equal(age(X1,X4),eta)
           => has_immunity(X1,X4) )
          & ( greater(age(X1,X4),eta)
           => ~ has_immunity(X1,X4) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',definition_1) ).

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

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

fof(assumption_2,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & has_immunity(X1,X5)
        & has_immunity(X1,X4) )
     => hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',assumption_2) ).

fof(meaning_postulate_greater_transitive,axiom,
    ! [X1,X2,X3] :
      ( ( greater(X1,X2)
        & greater(X2,X3) )
     => greater(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).

fof(meaning_postulate_greater_strict,axiom,
    ! [X1,X2] :
      ~ ( greater(X1,X2)
        & greater(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).

fof(c_0_13,plain,
    ! [X6,X7,X8] :
      ( ~ organization(X6)
      | has_immunity(X6,X7)
      | has_immunity(X6,X8)
      | ~ greater(capability(X6,X8),capability(X6,X7))
      | greater(hazard_of_mortality(X6,X7),hazard_of_mortality(X6,X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_16])])]) ).

fof(c_0_14,plain,
    ! [X6,X7,X8] :
      ( ~ organization(X6)
      | ~ has_immunity(X6,X7)
      | has_immunity(X6,X8)
      | greater(hazard_of_mortality(X6,X8),hazard_of_mortality(X6,X7)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_3])])]) ).

fof(c_0_15,negated_conjecture,
    ~ ! [X1,X5,X6,X7,X8] :
        ( ( organization(X1)
          & has_endowment(X1)
          & age(X1,X5) = zero
          & smaller_or_equal(age(X1,X6),eta)
          & greater(age(X1,X7),eta)
          & smaller_or_equal(age(X1,X7),sigma)
          & greater(age(X1,X8),sigma)
          & greater(sigma,eta)
          & greater(eta,zero) )
       => ( greater(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X7))
          & greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
          & hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
    inference(assume_negation,[status(cth)],[lemma_8]) ).

cnf(c_0_16,plain,
    ( greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
    | has_immunity(X1,X3)
    | has_immunity(X1,X2)
    | ~ greater(capability(X1,X3),capability(X1,X2))
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    ( greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
    | has_immunity(X1,X2)
    | ~ has_immunity(X1,X3)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_18,plain,
    ! [X6,X7,X8] :
      ( ~ organization(X6)
      | ~ is_aligned(X6,X7)
      | is_aligned(X6,X8)
      | greater(capability(X6,X7),capability(X6,X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_14])])]) ).

fof(c_0_19,plain,
    ! [X6,X7,X8,X6,X7,X8] :
      ( ( organization(X6)
        | ~ dissimilar(X6,X7,X8) )
      & ( ~ is_aligned(X6,X7)
        | ~ is_aligned(X6,X8)
        | ~ dissimilar(X6,X7,X8) )
      & ( is_aligned(X6,X7)
        | is_aligned(X6,X8)
        | ~ dissimilar(X6,X7,X8) )
      & ( ~ is_aligned(X6,X7)
        | is_aligned(X6,X8)
        | ~ organization(X6)
        | dissimilar(X6,X7,X8) )
      & ( ~ is_aligned(X6,X8)
        | is_aligned(X6,X7)
        | ~ organization(X6)
        | dissimilar(X6,X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])])])]) ).

fof(c_0_20,plain,
    ! [X6,X7,X8,X8] :
      ( ( ~ greater(age(X6,X8),sigma)
        | dissimilar(X6,X7,X8)
        | ~ organization(X6)
        | age(X6,X7) != zero )
      & ( ~ dissimilar(X6,X7,X8)
        | greater(age(X6,X8),sigma)
        | ~ organization(X6)
        | age(X6,X7) != zero ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])])])]) ).

fof(c_0_21,plain,
    ! [X5,X6] :
      ( ~ organization(X5)
      | age(X5,X6) != zero
      | is_aligned(X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])]) ).

fof(c_0_22,negated_conjecture,
    ( organization(esk3_0)
    & has_endowment(esk3_0)
    & age(esk3_0,esk4_0) = zero
    & smaller_or_equal(age(esk3_0,esk5_0),eta)
    & greater(age(esk3_0,esk6_0),eta)
    & smaller_or_equal(age(esk3_0,esk6_0),sigma)
    & greater(age(esk3_0,esk7_0),sigma)
    & greater(sigma,eta)
    & greater(eta,zero)
    & ( ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0))
      | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
      | hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).

cnf(c_0_23,plain,
    ( has_immunity(X1,X2)
    | greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
    | ~ organization(X1)
    | ~ greater(capability(X1,X3),capability(X1,X2)) ),
    inference(csr,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,plain,
    ( greater(capability(X1,X2),capability(X1,X3))
    | is_aligned(X1,X3)
    | ~ is_aligned(X1,X2)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_25,plain,
    ! [X5,X6,X6,X5] :
      ( ( organization(X5)
        | ~ has_endowment(X5) )
      & ( ~ smaller_or_equal(age(X5,X6),eta)
        | has_immunity(X5,X6)
        | ~ has_endowment(X5) )
      & ( ~ greater(age(X5,X6),eta)
        | ~ has_immunity(X5,X6)
        | ~ has_endowment(X5) )
      & ( greater(age(X5,esk2_1(X5)),eta)
        | smaller_or_equal(age(X5,esk1_1(X5)),eta)
        | ~ organization(X5)
        | has_endowment(X5) )
      & ( has_immunity(X5,esk2_1(X5))
        | smaller_or_equal(age(X5,esk1_1(X5)),eta)
        | ~ organization(X5)
        | has_endowment(X5) )
      & ( greater(age(X5,esk2_1(X5)),eta)
        | ~ has_immunity(X5,esk1_1(X5))
        | ~ organization(X5)
        | has_endowment(X5) )
      & ( has_immunity(X5,esk2_1(X5))
        | ~ has_immunity(X5,esk1_1(X5))
        | ~ organization(X5)
        | has_endowment(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[definition_1])])])])])])])]) ).

cnf(c_0_26,plain,
    ( ~ dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X3)
    | ~ is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( dissimilar(X1,X2,X3)
    | age(X1,X2) != zero
    | ~ organization(X1)
    | ~ greater(age(X1,X3),sigma) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,plain,
    ( is_aligned(X1,X2)
    | age(X1,X2) != zero
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
    | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
    | ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    ( is_aligned(X1,X2)
    | has_immunity(X1,X2)
    | greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
    | ~ is_aligned(X1,X3)
    | ~ organization(X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_31,negated_conjecture,
    organization(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32,plain,
    ( has_immunity(X1,X2)
    | ~ has_endowment(X1)
    | ~ smaller_or_equal(age(X1,X2),eta) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk5_0),eta),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_34,negated_conjecture,
    has_endowment(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_35,plain,
    ( greater(age(X1,X3),sigma)
    | age(X1,X2) != zero
    | ~ organization(X1)
    | ~ dissimilar(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_36,plain,
    ( organization(X1)
    | ~ dissimilar(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_37,plain,
    ( age(X1,X2) != zero
    | ~ is_aligned(X1,X3)
    | ~ organization(X1)
    | ~ greater(age(X1,X3),sigma) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_38,negated_conjecture,
    age(esk3_0,esk4_0) = zero,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_39,negated_conjecture,
    ( is_aligned(esk3_0,esk7_0)
    | has_immunity(esk3_0,esk7_0)
    | hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0)
    | ~ is_aligned(esk3_0,esk6_0)
    | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_40,negated_conjecture,
    has_immunity(esk3_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_41,plain,
    ( greater(age(X1,X2),sigma)
    | age(X1,X3) != zero
    | ~ dissimilar(X1,X3,X2) ),
    inference(csr,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,plain,
    ( dissimilar(X1,X2,X3)
    | is_aligned(X1,X3)
    | ~ organization(X1)
    | ~ is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_43,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ smaller_or_equal(X3,X4)
        | smaller(X3,X4)
        | X3 = X4 )
      & ( ~ smaller(X3,X4)
        | smaller_or_equal(X3,X4) )
      & ( X3 != X4
        | smaller_or_equal(X3,X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])])])]) ).

fof(c_0_44,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ smaller(X3,X4)
        | greater(X4,X3) )
      & ( ~ greater(X4,X3)
        | smaller(X3,X4) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])])]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ is_aligned(esk3_0,X1)
    | ~ greater(age(esk3_0,X1),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_31])]) ).

cnf(c_0_46,negated_conjecture,
    ( is_aligned(esk3_0,esk7_0)
    | has_immunity(esk3_0,esk6_0)
    | has_immunity(esk3_0,esk7_0)
    | hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0)
    | ~ is_aligned(esk3_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_17]),c_0_40]),c_0_31])]) ).

cnf(c_0_47,negated_conjecture,
    greater(age(esk3_0,esk7_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_48,plain,
    ( is_aligned(X1,X2)
    | greater(age(X1,X2),sigma)
    | age(X1,X3) != zero
    | ~ organization(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_28]) ).

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

cnf(c_0_50,plain,
    ( smaller(X1,X2)
    | ~ greater(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_51,negated_conjecture,
    ( has_immunity(esk3_0,esk7_0)
    | has_immunity(esk3_0,esk6_0)
    | hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0)
    | ~ is_aligned(esk3_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).

cnf(c_0_52,negated_conjecture,
    ( is_aligned(esk3_0,X1)
    | greater(age(esk3_0,X1),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_38]),c_0_31])]) ).

fof(c_0_53,plain,
    ! [X6,X7,X8] :
      ( ~ organization(X6)
      | ~ has_immunity(X6,X7)
      | ~ has_immunity(X6,X8)
      | hazard_of_mortality(X6,X7) = hazard_of_mortality(X6,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])]) ).

cnf(c_0_54,negated_conjecture,
    ( has_immunity(esk3_0,esk4_0)
    | ~ smaller_or_equal(zero,eta) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_38]),c_0_34])]) ).

cnf(c_0_55,plain,
    ( smaller_or_equal(X1,X2)
    | ~ greater(X2,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    greater(eta,zero),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_57,plain,
    ! [X4,X5,X6] :
      ( ~ greater(X4,X5)
      | ~ greater(X5,X6)
      | greater(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).

cnf(c_0_58,negated_conjecture,
    ( has_immunity(esk3_0,esk6_0)
    | has_immunity(esk3_0,esk7_0)
    | greater(age(esk3_0,esk6_0),sigma)
    | hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_59,plain,
    ( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
    | ~ has_immunity(X1,X3)
    | ~ has_immunity(X1,X2)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_60,negated_conjecture,
    has_immunity(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).

cnf(c_0_61,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X2)
    | ~ greater(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    greater(sigma,eta),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_63,plain,
    ( greater(X1,X2)
    | ~ smaller(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_64,plain,
    ( X1 = X2
    | smaller(X1,X2)
    | ~ smaller_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_65,negated_conjecture,
    ( has_immunity(esk3_0,esk7_0)
    | has_immunity(esk3_0,esk6_0)
    | greater(age(esk3_0,esk6_0),sigma)
    | hazard_of_mortality(esk3_0,X1) != hazard_of_mortality(esk3_0,esk5_0)
    | ~ has_immunity(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_31])]) ).

cnf(c_0_66,negated_conjecture,
    ( greater(X1,eta)
    | ~ greater(X1,sigma) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

fof(c_0_67,plain,
    ! [X3,X4] :
      ( ~ greater(X3,X4)
      | ~ greater(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])]) ).

cnf(c_0_68,plain,
    ( X1 = X2
    | greater(X2,X1)
    | ~ smaller_or_equal(X1,X2) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk6_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_70,plain,
    ( ~ has_endowment(X1)
    | ~ has_immunity(X1,X2)
    | ~ greater(age(X1,X2),eta) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_71,negated_conjecture,
    ( has_immunity(esk3_0,esk6_0)
    | has_immunity(esk3_0,esk7_0)
    | greater(age(esk3_0,esk6_0),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_65]),c_0_40])]) ).

cnf(c_0_72,negated_conjecture,
    greater(age(esk3_0,esk7_0),eta),
    inference(spm,[status(thm)],[c_0_66,c_0_47]) ).

cnf(c_0_73,plain,
    ( ~ greater(X1,X2)
    | ~ greater(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_74,negated_conjecture,
    ( age(esk3_0,esk6_0) = sigma
    | greater(sigma,age(esk3_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_75,negated_conjecture,
    ( has_immunity(esk3_0,esk6_0)
    | greater(age(esk3_0,esk6_0),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_34]),c_0_72])]) ).

cnf(c_0_76,negated_conjecture,
    greater(age(esk3_0,esk6_0),eta),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_77,negated_conjecture,
    ( age(esk3_0,esk6_0) = sigma
    | ~ greater(age(esk3_0,esk6_0),sigma) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_78,negated_conjecture,
    greater(age(esk3_0,esk6_0),sigma),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_75]),c_0_34]),c_0_76])]) ).

cnf(c_0_79,negated_conjecture,
    age(esk3_0,esk6_0) = sigma,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).

cnf(c_0_80,negated_conjecture,
    greater(sigma,sigma),
    inference(rw,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_81,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_80]),c_0_80])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 09:53:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.22/1.41  # Preprocessing time       : 0.019 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 82
% 0.22/1.41  # Proof object clause steps            : 55
% 0.22/1.41  # Proof object formula steps           : 27
% 0.22/1.41  # Proof object conjectures             : 33
% 0.22/1.41  # Proof object clause conjectures      : 30
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 28
% 0.22/1.41  # Proof object initial formulas used   : 13
% 0.22/1.41  # Proof object generating inferences   : 23
% 0.22/1.41  # Proof object simplifying inferences  : 37
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 15
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.41  # Initial clauses                      : 40
% 0.22/1.41  # Removed in clause preprocessing      : 0
% 0.22/1.41  # Initial clauses in saturation        : 40
% 0.22/1.41  # Processed clauses                    : 218
% 0.22/1.41  # ...of these trivial                  : 1
% 0.22/1.41  # ...subsumed                          : 87
% 0.22/1.41  # ...remaining for further processing  : 130
% 0.22/1.41  # Other redundant clauses eliminated   : 2
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 9
% 0.22/1.41  # Backward-rewritten                   : 17
% 0.22/1.41  # Generated clauses                    : 369
% 0.22/1.41  # ...of the previous two non-trivial   : 306
% 0.22/1.41  # Contextual simplify-reflections      : 55
% 0.22/1.41  # Paramodulations                      : 363
% 0.22/1.41  # Factorizations                       : 2
% 0.22/1.41  # Equation resolutions                 : 4
% 0.22/1.41  # Current number of processed clauses  : 102
% 0.22/1.41  #    Positive orientable unit clauses  : 16
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 9
% 0.22/1.41  #    Non-unit-clauses                  : 77
% 0.22/1.41  # Current number of unprocessed clauses: 103
% 0.22/1.41  # ...number of literals in the above   : 558
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 26
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 4927
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 1589
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 127
% 0.22/1.41  # Unit Clause-clause subsumption calls : 287
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 10
% 0.22/1.41  # BW rewrite match successes           : 4
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 8764
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.041 s
% 0.22/1.41  # System time              : 0.003 s
% 0.22/1.41  # Total time               : 0.044 s
% 0.22/1.41  # Maximum resident set size: 3208 pages
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.41  eprover: CPU time limit exceeded, terminating
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------