TSTP Solution File: MGT055+1 by E-SAT---3.1.00

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%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : MGT055+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 00:41:07 EDT 2024

% Result   : Theorem 1.02s 0.60s
% Output   : CNFRefutation 1.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  105 (  19 unt;   0 def)
%            Number of atoms       :  362 (  49 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  395 ( 138   ~; 166   |;  68   &)
%                                         (   7 <=>;  16  =>;   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   :  173 (   3 sgn  89   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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/benchmark/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/benchmark/theBenchmark.p',assumption_15) ).

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

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/benchmark/theBenchmark.p',lemma_8) ).

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/benchmark/theBenchmark.p',definition_1) ).

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

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

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(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/benchmark/theBenchmark.p',assumption_3) ).

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/benchmark/theBenchmark.p',assumption_2) ).

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/benchmark/theBenchmark.p',assumption_16) ).

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/benchmark/theBenchmark.p',assumption_14) ).

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_14,plain,
    ! [X34,X35,X36] :
      ( ( organization(X34)
        | ~ dissimilar(X34,X35,X36) )
      & ( ~ is_aligned(X34,X35)
        | ~ is_aligned(X34,X36)
        | ~ dissimilar(X34,X35,X36) )
      & ( is_aligned(X34,X35)
        | is_aligned(X34,X36)
        | ~ dissimilar(X34,X35,X36) )
      & ( ~ is_aligned(X34,X35)
        | is_aligned(X34,X36)
        | ~ organization(X34)
        | dissimilar(X34,X35,X36) )
      & ( ~ is_aligned(X34,X36)
        | is_aligned(X34,X35)
        | ~ organization(X34)
        | dissimilar(X34,X35,X36) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])])]) ).

fof(c_0_15,plain,
    ! [X42,X43,X44] :
      ( ( ~ greater(age(X42,X44),sigma)
        | dissimilar(X42,X43,X44)
        | ~ organization(X42)
        | age(X42,X43) != zero )
      & ( ~ dissimilar(X42,X43,X44)
        | greater(age(X42,X44),sigma)
        | ~ organization(X42)
        | age(X42,X43) != 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_16,plain,
    ! [X37,X38] :
      ( ~ organization(X37)
      | age(X37,X38) != zero
      | is_aligned(X37,X38) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])])]) ).

fof(c_0_17,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_18,plain,
    ( ~ is_aligned(X1,X2)
    | ~ is_aligned(X1,X3)
    | ~ dissimilar(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    ( dissimilar(X1,X3,X2)
    | ~ greater(age(X1,X2),sigma)
    | ~ organization(X1)
    | age(X1,X3) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    ( is_aligned(X1,X2)
    | ~ organization(X1)
    | age(X1,X2) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_21,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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).

cnf(c_0_22,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_18,c_0_19]),c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    age(esk3_0,esk4_0) = zero,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    organization(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_25,plain,
    ! [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) ) ) ),
    inference(fof_simplification,[status(thm)],[definition_1]) ).

cnf(c_0_26,plain,
    ( is_aligned(X1,X3)
    | dissimilar(X1,X3,X2)
    | ~ is_aligned(X1,X2)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_27,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_22,c_0_23]),c_0_24])]) ).

fof(c_0_28,plain,
    ! [X13,X14] :
      ( ( ~ smaller(X13,X14)
        | greater(X14,X13) )
      & ( ~ greater(X14,X13)
        | smaller(X13,X14) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])]) ).

fof(c_0_29,plain,
    ! [X20,X21] :
      ( smaller(X20,X21)
      | X20 = X21
      | greater(X20,X21) ),
    inference(variable_rename,[status(thm)],[meaning_postulate_greater_comparable]) ).

fof(c_0_30,plain,
    ! [X22,X23,X24,X25] :
      ( ( organization(X22)
        | ~ has_endowment(X22) )
      & ( ~ smaller_or_equal(age(X22,X23),eta)
        | has_immunity(X22,X23)
        | ~ has_endowment(X22) )
      & ( ~ greater(age(X22,X24),eta)
        | ~ has_immunity(X22,X24)
        | ~ has_endowment(X22) )
      & ( greater(age(X25,esk2_1(X25)),eta)
        | smaller_or_equal(age(X25,esk1_1(X25)),eta)
        | ~ organization(X25)
        | has_endowment(X25) )
      & ( has_immunity(X25,esk2_1(X25))
        | smaller_or_equal(age(X25,esk1_1(X25)),eta)
        | ~ organization(X25)
        | has_endowment(X25) )
      & ( greater(age(X25,esk2_1(X25)),eta)
        | ~ has_immunity(X25,esk1_1(X25))
        | ~ organization(X25)
        | has_endowment(X25) )
      & ( has_immunity(X25,esk2_1(X25))
        | ~ has_immunity(X25,esk1_1(X25))
        | ~ organization(X25)
        | has_endowment(X25) ) ),
    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_25])])])])])])]) ).

fof(c_0_31,plain,
    ! [X9,X10] :
      ( ( ~ smaller_or_equal(X9,X10)
        | smaller(X9,X10)
        | X9 = X10 )
      & ( ~ smaller(X9,X10)
        | smaller_or_equal(X9,X10) )
      & ( X9 != X10
        | smaller_or_equal(X9,X10) ) ),
    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_32,plain,
    ( greater(age(X1,X3),sigma)
    | ~ dissimilar(X1,X2,X3)
    | ~ organization(X1)
    | age(X1,X2) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_33,plain,
    ( organization(X1)
    | ~ dissimilar(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_34,plain,
    ( is_aligned(X1,X2)
    | dissimilar(X1,X2,X3)
    | age(X1,X3) != zero
    | ~ organization(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_20]) ).

cnf(c_0_35,negated_conjecture,
    ( age(esk3_0,X1) != zero
    | ~ greater(age(esk3_0,X1),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_24])]) ).

cnf(c_0_36,plain,
    ( greater(X2,X1)
    | ~ smaller(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_37,plain,
    ( smaller(X1,X2)
    | X1 = X2
    | greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_38,plain,
    ( has_immunity(X1,X2)
    | ~ smaller_or_equal(age(X1,X2),eta)
    | ~ has_endowment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_39,negated_conjecture,
    has_endowment(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_40,plain,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_41,plain,
    ( smaller(X2,X1)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_42,plain,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & has_immunity(X1,X5)
        & ~ has_immunity(X1,X4) )
     => greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
    inference(fof_simplification,[status(thm)],[assumption_3]) ).

cnf(c_0_43,plain,
    ( greater(age(X1,X2),sigma)
    | age(X1,X3) != zero
    | ~ dissimilar(X1,X3,X2) ),
    inference(csr,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_44,negated_conjecture,
    ( is_aligned(esk3_0,X1)
    | dissimilar(esk3_0,X1,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_24])]) ).

cnf(c_0_45,negated_conjecture,
    ~ greater(zero,sigma),
    inference(spm,[status(thm)],[c_0_35,c_0_23]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ 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(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_47,plain,
    ( X1 = X2
    | greater(X1,X2)
    | greater(X2,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_48,plain,
    ! [X28,X29,X30] :
      ( ~ organization(X28)
      | ~ has_immunity(X28,X29)
      | ~ has_immunity(X28,X30)
      | hazard_of_mortality(X28,X29) = hazard_of_mortality(X28,X30) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])])]) ).

cnf(c_0_49,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_38,c_0_23]),c_0_39])]) ).

cnf(c_0_50,plain,
    ( smaller_or_equal(X1,X2)
    | ~ greater(X2,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_51,negated_conjecture,
    greater(eta,zero),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_52,plain,
    ! [X31,X32,X33] :
      ( ~ organization(X31)
      | ~ has_immunity(X31,X32)
      | has_immunity(X31,X33)
      | greater(hazard_of_mortality(X31,X33),hazard_of_mortality(X31,X32)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).

cnf(c_0_53,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk5_0),eta),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_54,plain,
    ( is_aligned(X1,X3)
    | dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X2)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_55,negated_conjecture,
    ( is_aligned(esk3_0,X1)
    | age(esk3_0,X1) != zero ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_23]),c_0_45]) ).

cnf(c_0_56,negated_conjecture,
    ( 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,esk7_0))
    | hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0)
    | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_57,plain,
    ( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
    | ~ organization(X1)
    | ~ has_immunity(X1,X2)
    | ~ has_immunity(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_58,negated_conjecture,
    has_immunity(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).

cnf(c_0_59,plain,
    ( has_immunity(X1,X3)
    | greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_60,negated_conjecture,
    has_immunity(esk3_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_53]),c_0_39])]) ).

cnf(c_0_61,plain,
    ( ~ greater(age(X1,X2),eta)
    | ~ has_immunity(X1,X2)
    | ~ has_endowment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_62,negated_conjecture,
    greater(age(esk3_0,esk6_0),eta),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_63,plain,
    ! [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)) ),
    inference(fof_simplification,[status(thm)],[assumption_16]) ).

fof(c_0_64,plain,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & is_aligned(X1,X5)
        & ~ is_aligned(X1,X4) )
     => greater(capability(X1,X5),capability(X1,X4)) ),
    inference(fof_simplification,[status(thm)],[assumption_14]) ).

cnf(c_0_65,negated_conjecture,
    ( is_aligned(esk3_0,X1)
    | dissimilar(esk3_0,X2,X1)
    | age(esk3_0,X2) != zero ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_24])]) ).

fof(c_0_66,plain,
    ! [X17,X18,X19] :
      ( ~ greater(X17,X18)
      | ~ greater(X18,X19)
      | greater(X17,X19) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])])]) ).

cnf(c_0_67,negated_conjecture,
    ( 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,esk7_0))
    | hazard_of_mortality(esk3_0,X1) != hazard_of_mortality(esk3_0,esk5_0)
    | ~ has_immunity(esk3_0,X1)
    | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_24])]) ).

cnf(c_0_68,negated_conjecture,
    ( has_immunity(esk3_0,X1)
    | greater(hazard_of_mortality(esk3_0,X1),hazard_of_mortality(esk3_0,esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_24])]) ).

cnf(c_0_69,negated_conjecture,
    ~ has_immunity(esk3_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_39])]) ).

fof(c_0_70,plain,
    ! [X45,X46,X47] :
      ( ~ organization(X45)
      | has_immunity(X45,X46)
      | has_immunity(X45,X47)
      | ~ greater(capability(X45,X47),capability(X45,X46))
      | greater(hazard_of_mortality(X45,X46),hazard_of_mortality(X45,X47)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).

fof(c_0_71,plain,
    ! [X39,X40,X41] :
      ( ~ organization(X39)
      | ~ is_aligned(X39,X40)
      | is_aligned(X39,X41)
      | greater(capability(X39,X40),capability(X39,X41)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).

cnf(c_0_72,negated_conjecture,
    ( is_aligned(esk3_0,X1)
    | dissimilar(esk3_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_23]) ).

cnf(c_0_73,plain,
    ( greater(X1,X3)
    | ~ greater(X1,X2)
    | ~ greater(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_74,negated_conjecture,
    greater(sigma,eta),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_75,plain,
    ! [X15,X16] :
      ( ~ greater(X15,X16)
      | ~ greater(X16,X15) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])])]) ).

cnf(c_0_76,negated_conjecture,
    ( 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,esk7_0))
    | hazard_of_mortality(esk3_0,X1) != hazard_of_mortality(esk3_0,esk5_0)
    | ~ has_immunity(esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_77,plain,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
    | ~ organization(X1)
    | ~ greater(capability(X1,X3),capability(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_78,plain,
    ( is_aligned(X1,X3)
    | greater(capability(X1,X2),capability(X1,X3))
    | ~ organization(X1)
    | ~ is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_79,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_43,c_0_72]),c_0_23])]) ).

cnf(c_0_80,negated_conjecture,
    ( greater(X1,eta)
    | ~ greater(X1,sigma) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_81,negated_conjecture,
    greater(age(esk3_0,esk7_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_82,plain,
    ( ~ greater(X1,X2)
    | ~ greater(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_83,negated_conjecture,
    ( 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,esk7_0)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_60]) ).

cnf(c_0_84,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_77,c_0_59]) ).

cnf(c_0_85,negated_conjecture,
    ( is_aligned(esk3_0,X1)
    | greater(capability(esk3_0,X2),capability(esk3_0,X1))
    | greater(age(esk3_0,X2),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_24])]) ).

cnf(c_0_86,negated_conjecture,
    greater(age(esk3_0,esk7_0),eta),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_87,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk7_0) = hazard_of_mortality(esk3_0,esk6_0)
    | ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_88,negated_conjecture,
    ( is_aligned(esk3_0,X1)
    | has_immunity(esk3_0,X1)
    | greater(hazard_of_mortality(esk3_0,X1),hazard_of_mortality(esk3_0,X2))
    | greater(age(esk3_0,X2),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_24])]) ).

cnf(c_0_89,negated_conjecture,
    ~ has_immunity(esk3_0,esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_86]),c_0_39])]) ).

cnf(c_0_90,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk7_0) = hazard_of_mortality(esk3_0,esk6_0)
    | is_aligned(esk3_0,esk7_0)
    | greater(age(esk3_0,esk6_0),sigma) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).

cnf(c_0_91,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk7_0) = hazard_of_mortality(esk3_0,esk6_0)
    | greater(age(esk3_0,esk6_0),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_90]),c_0_81])]) ).

cnf(c_0_92,negated_conjecture,
    ( greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
    | greater(age(esk3_0,esk6_0),sigma) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_91]),c_0_89]) ).

cnf(c_0_93,plain,
    ( smaller(X1,X2)
    | X1 = X2
    | ~ smaller_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_94,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk6_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_95,negated_conjecture,
    ( is_aligned(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(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_88]),c_0_89]),c_0_92]) ).

cnf(c_0_96,negated_conjecture,
    ( age(esk3_0,esk6_0) = sigma
    | smaller(age(esk3_0,esk6_0),sigma) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_97,negated_conjecture,
    ( is_aligned(esk3_0,esk7_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_95,c_0_57]),c_0_58]),c_0_24])]) ).

cnf(c_0_98,negated_conjecture,
    ( age(esk3_0,esk6_0) = sigma
    | greater(sigma,age(esk3_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_96]) ).

cnf(c_0_99,negated_conjecture,
    ( is_aligned(esk3_0,esk7_0)
    | greater(age(esk3_0,esk6_0),sigma) ),
    inference(spm,[status(thm)],[c_0_97,c_0_60]) ).

cnf(c_0_100,negated_conjecture,
    ( age(esk3_0,esk6_0) = sigma
    | ~ greater(age(esk3_0,esk6_0),sigma) ),
    inference(spm,[status(thm)],[c_0_82,c_0_98]) ).

cnf(c_0_101,negated_conjecture,
    greater(age(esk3_0,esk6_0),sigma),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_99]),c_0_81])]) ).

cnf(c_0_102,negated_conjecture,
    age(esk3_0,esk6_0) = sigma,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]) ).

cnf(c_0_103,negated_conjecture,
    greater(sigma,sigma),
    inference(rw,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_104,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_103]),c_0_103])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT055+1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 00:03:22 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.02/0.60  # Version: 3.1.0
% 1.02/0.60  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.02/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.02/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.02/0.60  # Starting new_bool_3 with 300s (1) cores
% 1.02/0.60  # Starting new_bool_1 with 300s (1) cores
% 1.02/0.60  # Starting sh5l with 300s (1) cores
% 1.02/0.60  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 19657 completed with status 0
% 1.02/0.60  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.02/0.60  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.02/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.02/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.02/0.60  # No SInE strategy applied
% 1.02/0.60  # Search class: FGHSF-FFMM21-SFFFFFNN
% 1.02/0.60  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.02/0.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 811s (1) cores
% 1.02/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.02/0.60  # Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 1.02/0.60  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 1.02/0.60  # Starting G----_Z1014__C12_02_nc_F1_AE_CS_SP_S2S with 136s (1) cores
% 1.02/0.60  # G-E--_208_C18_F1_AE_CS_SP_PS_S3S with pid 19663 completed with status 0
% 1.02/0.60  # Result found by G-E--_208_C18_F1_AE_CS_SP_PS_S3S
% 1.02/0.60  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.02/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.02/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.02/0.60  # No SInE strategy applied
% 1.02/0.60  # Search class: FGHSF-FFMM21-SFFFFFNN
% 1.02/0.60  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.02/0.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 811s (1) cores
% 1.02/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.02/0.60  # Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 1.02/0.60  # Preprocessing time       : 0.001 s
% 1.02/0.60  # Presaturation interreduction done
% 1.02/0.60  
% 1.02/0.60  # Proof found!
% 1.02/0.60  # SZS status Theorem
% 1.02/0.60  # SZS output start CNFRefutation
% See solution above
% 1.02/0.60  # Parsed axioms                        : 15
% 1.02/0.60  # Removed by relevancy pruning/SinE    : 0
% 1.02/0.60  # Initial clauses                      : 40
% 1.02/0.60  # Removed in clause preprocessing      : 0
% 1.02/0.60  # Initial clauses in saturation        : 40
% 1.02/0.60  # Processed clauses                    : 1063
% 1.02/0.60  # ...of these trivial                  : 18
% 1.02/0.60  # ...subsumed                          : 603
% 1.02/0.60  # ...remaining for further processing  : 442
% 1.02/0.60  # Other redundant clauses eliminated   : 2
% 1.02/0.60  # Clauses deleted for lack of memory   : 0
% 1.02/0.60  # Backward-subsumed                    : 31
% 1.02/0.60  # Backward-rewritten                   : 88
% 1.02/0.60  # Generated clauses                    : 5145
% 1.02/0.60  # ...of the previous two non-redundant : 3750
% 1.02/0.60  # ...aggressively subsumed             : 0
% 1.02/0.60  # Contextual simplify-reflections      : 14
% 1.02/0.60  # Paramodulations                      : 5123
% 1.02/0.60  # Factorizations                       : 18
% 1.02/0.60  # NegExts                              : 0
% 1.02/0.60  # Equation resolutions                 : 2
% 1.02/0.60  # Disequality decompositions           : 0
% 1.02/0.60  # Total rewrite steps                  : 2107
% 1.02/0.60  # ...of those cached                   : 2088
% 1.02/0.60  # Propositional unsat checks           : 0
% 1.02/0.60  #    Propositional check models        : 0
% 1.02/0.60  #    Propositional check unsatisfiable : 0
% 1.02/0.60  #    Propositional clauses             : 0
% 1.02/0.60  #    Propositional clauses after purity: 0
% 1.02/0.60  #    Propositional unsat core size     : 0
% 1.02/0.60  #    Propositional preprocessing time  : 0.000
% 1.02/0.60  #    Propositional encoding time       : 0.000
% 1.02/0.60  #    Propositional solver time         : 0.000
% 1.02/0.60  #    Success case prop preproc time    : 0.000
% 1.02/0.60  #    Success case prop encoding time   : 0.000
% 1.02/0.60  #    Success case prop solver time     : 0.000
% 1.02/0.60  # Current number of processed clauses  : 279
% 1.02/0.60  #    Positive orientable unit clauses  : 17
% 1.02/0.60  #    Positive unorientable unit clauses: 0
% 1.02/0.60  #    Negative unit clauses             : 10
% 1.02/0.60  #    Non-unit-clauses                  : 252
% 1.02/0.60  # Current number of unprocessed clauses: 2597
% 1.02/0.60  # ...number of literals in the above   : 16247
% 1.02/0.60  # Current number of archived formulas  : 0
% 1.02/0.60  # Current number of archived clauses   : 161
% 1.02/0.60  # Clause-clause subsumption calls (NU) : 30562
% 1.02/0.60  # Rec. Clause-clause subsumption calls : 10576
% 1.02/0.60  # Non-unit clause-clause subsumptions  : 564
% 1.02/0.60  # Unit Clause-clause subsumption calls : 795
% 1.02/0.60  # Rewrite failures with RHS unbound    : 0
% 1.02/0.60  # BW rewrite match attempts            : 10
% 1.02/0.60  # BW rewrite match successes           : 5
% 1.02/0.60  # Condensation attempts                : 0
% 1.02/0.60  # Condensation successes               : 0
% 1.02/0.60  # Termbank termtop insertions          : 95513
% 1.02/0.60  # Search garbage collected termcells   : 639
% 1.02/0.60  
% 1.02/0.60  # -------------------------------------------------
% 1.02/0.60  # User time                : 0.112 s
% 1.02/0.60  # System time              : 0.008 s
% 1.02/0.60  # Total time               : 0.120 s
% 1.02/0.60  # Maximum resident set size: 1848 pages
% 1.02/0.60  
% 1.02/0.60  # -------------------------------------------------
% 1.02/0.60  # User time                : 0.561 s
% 1.02/0.60  # System time              : 0.023 s
% 1.02/0.60  # Total time               : 0.584 s
% 1.02/0.60  # Maximum resident set size: 1756 pages
% 1.02/0.60  % E---3.1 exiting
%------------------------------------------------------------------------------