TSTP Solution File: MGT055+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT055+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n007.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 : Thu Aug 31 09:08:43 EDT 2023

% Result   : Theorem 2.84s 2.95s
% Output   : CNFRefutation 2.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  112 (  26 unt;  22 typ;   0 def)
%            Number of atoms       :  303 (  30 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  331 ( 118   ~; 122   |;  68   &)
%                                         (   7 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   25 (  14   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :  147 (   2 sgn;  85   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    smaller_or_equal: ( $i * $i ) > $o ).

tff(decl_23,type,
    smaller: ( $i * $i ) > $o ).

tff(decl_24,type,
    greater_or_equal: ( $i * $i ) > $o ).

tff(decl_25,type,
    greater: ( $i * $i ) > $o ).

tff(decl_26,type,
    has_endowment: $i > $o ).

tff(decl_27,type,
    organization: $i > $o ).

tff(decl_28,type,
    age: ( $i * $i ) > $i ).

tff(decl_29,type,
    eta: $i ).

tff(decl_30,type,
    has_immunity: ( $i * $i ) > $o ).

tff(decl_31,type,
    hazard_of_mortality: ( $i * $i ) > $i ).

tff(decl_32,type,
    dissimilar: ( $i * $i * $i ) > $o ).

tff(decl_33,type,
    is_aligned: ( $i * $i ) > $o ).

tff(decl_34,type,
    zero: $i ).

tff(decl_35,type,
    capability: ( $i * $i ) > $i ).

tff(decl_36,type,
    sigma: $i ).

tff(decl_37,type,
    esk1_1: $i > $i ).

tff(decl_38,type,
    esk2_1: $i > $i ).

tff(decl_39,type,
    esk3_0: $i ).

tff(decl_40,type,
    esk4_0: $i ).

tff(decl_41,type,
    esk5_0: $i ).

tff(decl_42,type,
    esk6_0: $i ).

tff(decl_43,type,
    esk7_0: $i ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',definition_1) ).

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

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

fof(assumption_13,axiom,
    ! [X1,X4] :
      ( ( organization(X1)
        & age(X1,X4) = zero )
     => is_aligned(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).

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/sandbox2/benchmark/theBenchmark.p',assumption_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/sandbox2/benchmark/theBenchmark.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/benchmark/theBenchmark.p',definition_2) ).

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/sandbox2/benchmark/theBenchmark.p',assumption_3) ).

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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).

fof(c_0_13,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]) ).

fof(c_0_14,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]) ).

fof(c_0_15,plain,
    ! [X13,X14] :
      ( ( ~ smaller(X13,X14)
        | greater(X14,X13) )
      & ( ~ greater(X14,X13)
        | smaller(X13,X14) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).

fof(c_0_16,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_13])])]) ).

fof(c_0_17,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(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_14])])])])])]) ).

fof(c_0_18,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).

cnf(c_0_19,plain,
    ( smaller(X2,X1)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    greater(eta,zero),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_21,plain,
    ! [X37,X38] :
      ( ~ organization(X37)
      | age(X37,X38) != zero
      | is_aligned(X37,X38) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])]) ).

fof(c_0_22,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])]) ).

cnf(c_0_23,plain,
    ( has_immunity(X1,X2)
    | ~ smaller_or_equal(age(X1,X2),eta)
    | ~ has_endowment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk5_0),eta),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    has_endowment(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26,plain,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,negated_conjecture,
    smaller(zero,eta),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_28,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])]) ).

fof(c_0_29,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])]) ).

cnf(c_0_30,plain,
    ( is_aligned(X1,X2)
    | ~ organization(X1)
    | age(X1,X2) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,negated_conjecture,
    age(esk3_0,esk4_0) = zero,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_32,negated_conjecture,
    organization(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_33,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_22]) ).

cnf(c_0_34,negated_conjecture,
    has_immunity(esk3_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_35,negated_conjecture,
    smaller_or_equal(zero,eta),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

fof(c_0_36,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]) ).

fof(c_0_37,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_38,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_39,plain,
    ( greater(age(X1,X3),sigma)
    | ~ dissimilar(X1,X2,X3)
    | ~ organization(X1)
    | age(X1,X2) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_40,plain,
    ( organization(X1)
    | ~ dissimilar(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_41,plain,
    ( is_aligned(X1,X3)
    | dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X2)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_42,negated_conjecture,
    is_aligned(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

fof(c_0_43,plain,
    ! [X17,X18,X19] :
      ( ~ greater(X17,X18)
      | ~ greater(X18,X19)
      | greater(X17,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).

cnf(c_0_44,negated_conjecture,
    ( 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(spm,[status(thm)],[c_0_33,c_0_34]),c_0_32])]) ).

cnf(c_0_45,negated_conjecture,
    has_immunity(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_31]),c_0_25]),c_0_35])]) ).

fof(c_0_46,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).

fof(c_0_47,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).

fof(c_0_48,plain,
    ! [X39,X40,X41] :
      ( ~ organization(X39)
      | ~ is_aligned(X39,X40)
      | is_aligned(X39,X41)
      | greater(capability(X39,X40),capability(X39,X41)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).

cnf(c_0_49,plain,
    ( greater(age(X1,X2),sigma)
    | age(X1,X3) != zero
    | ~ dissimilar(X1,X3,X2) ),
    inference(csr,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_50,negated_conjecture,
    ( is_aligned(esk3_0,X1)
    | dissimilar(esk3_0,esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_32])]) ).

cnf(c_0_51,plain,
    ( dissimilar(X1,X3,X2)
    | ~ greater(age(X1,X2),sigma)
    | ~ organization(X1)
    | age(X1,X3) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_52,plain,
    ( greater(X1,X3)
    | ~ greater(X1,X2)
    | ~ greater(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_53,negated_conjecture,
    greater(sigma,eta),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_54,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_16]) ).

cnf(c_0_55,negated_conjecture,
    hazard_of_mortality(esk3_0,esk4_0) = hazard_of_mortality(esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_56,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_46]) ).

cnf(c_0_57,plain,
    ( ~ greater(age(X1,X2),eta)
    | ~ has_immunity(X1,X2)
    | ~ has_endowment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_58,negated_conjecture,
    greater(age(esk3_0,esk6_0),eta),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_59,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_47]) ).

cnf(c_0_60,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_48]) ).

cnf(c_0_61,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_49,c_0_50]),c_0_31])]) ).

cnf(c_0_62,negated_conjecture,
    ( dissimilar(esk3_0,esk4_0,X1)
    | ~ greater(age(esk3_0,X1),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_31]),c_0_32])]) ).

cnf(c_0_63,negated_conjecture,
    greater(age(esk3_0,esk7_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_64,negated_conjecture,
    ( greater(X1,eta)
    | ~ greater(X1,sigma) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_65,plain,
    ( smaller(X1,X2)
    | X1 = X2
    | ~ smaller_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_66,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk6_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ 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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).

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_56,c_0_34]),c_0_32])]) ).

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_57,c_0_58]),c_0_25])]) ).

cnf(c_0_70,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_59,c_0_56]) ).

cnf(c_0_71,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_60,c_0_61]),c_0_32])]) ).

cnf(c_0_72,plain,
    ( ~ is_aligned(X1,X2)
    | ~ is_aligned(X1,X3)
    | ~ dissimilar(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_73,negated_conjecture,
    dissimilar(esk3_0,esk4_0,esk7_0),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_74,negated_conjecture,
    greater(age(esk3_0,esk7_0),eta),
    inference(spm,[status(thm)],[c_0_64,c_0_63]) ).

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

cnf(c_0_76,plain,
    ( greater(X2,X1)
    | ~ smaller(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_77,negated_conjecture,
    ( age(esk3_0,esk6_0) = sigma
    | smaller(age(esk3_0,esk6_0),sigma) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_78,negated_conjecture,
    ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_79,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_70,c_0_71]),c_0_32])]) ).

cnf(c_0_80,negated_conjecture,
    ~ is_aligned(esk3_0,esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_42])]) ).

cnf(c_0_81,negated_conjecture,
    ~ has_immunity(esk3_0,esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_74]),c_0_25])]) ).

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,
    ( age(esk3_0,esk6_0) = sigma
    | greater(sigma,age(esk3_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    greater(age(esk3_0,esk6_0),sigma),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]) ).

cnf(c_0_85,negated_conjecture,
    ( age(esk3_0,esk6_0) = sigma
    | ~ greater(age(esk3_0,esk6_0),sigma) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_86,negated_conjecture,
    ~ greater(sigma,age(esk3_0,esk6_0)),
    inference(spm,[status(thm)],[c_0_82,c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    age(esk3_0,esk6_0) = sigma,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_84])]) ).

cnf(c_0_88,negated_conjecture,
    ~ greater(sigma,sigma),
    inference(rw,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_89,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_87]),c_0_88]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : MGT055+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n007.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   : Mon Aug 28 06:10:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.57  start to proof: theBenchmark
% 2.84/2.95  % Version  : CSE_E---1.5
% 2.84/2.95  % Problem  : theBenchmark.p
% 2.84/2.95  % Proof found
% 2.84/2.95  % SZS status Theorem for theBenchmark.p
% 2.84/2.95  % SZS output start Proof
% See solution above
% 2.92/2.96  % Total time : 2.378000 s
% 2.92/2.96  % SZS output end Proof
% 2.92/2.96  % Total time : 2.382000 s
%------------------------------------------------------------------------------