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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : MGT065+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:26:59 PM UTC 2026

% Result   : Theorem 0.44s 0.48s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   76 (  32 unt;   0 def)
%            Number of atoms       :  298 (  47 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  322 ( 100   ~;  98   |;  88   &)
%                                         (   8 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  13 con; 0-2 aty)
%            Number of variables   :   88 (   0 sgn  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(theorem_11,conjecture,
    ! [X1,X5,X6,X7] :
      ( ( greater(age(X1,X7),eta)
        & greater(age(X1,X7),tau)
        & greater(age(X1,X7),sigma)
        & smaller_or_equal(age(X1,X6),eta)
        & smaller_or_equal(age(X1,X6),tau)
        & smaller_or_equal(age(X1,X6),sigma)
        & greater(eta,zero)
        & greater(tau,zero)
        & greater(sigma,zero)
        & age(X1,X5) = zero
        & has_endowment(X1)
        & ( fragile_position(X1)
          | robust_position(X1) )
        & organization(X1) )
     => ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
        & greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11) ).

fof(definition_1,axiom,
    ! [X1] :
      ( has_endowment(X1)
    <=> ! [X4] :
          ( ( greater(age(X1,X4),eta)
           => ~ has_immunity(X1,X4) )
          & ( smaller_or_equal(age(X1,X4),eta)
           => has_immunity(X1,X4) )
          & organization(X1) ) ),
    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(assumption_15,axiom,
    ! [X1,X5,X4] :
      ( ( age(X1,X5) = zero
        & organization(X1) )
     => ( greater(age(X1,X4),sigma)
      <=> dissimilar(X1,X5,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).

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

fof(assumption_17,axiom,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( ~ has_immunity(X1,X4)
         => ( ( ( ~ positional_advantage(X1,X4)
                & ~ is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = high )
            & ( ( ~ positional_advantage(X1,X4)
                & is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod2 )
            & ( ( positional_advantage(X1,X4)
                & ~ is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod1 )
            & ( ( positional_advantage(X1,X4)
                & is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = low ) ) )
        & ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).

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

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

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

fof(assumption_18e,axiom,
    greater(mod2,low),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e) ).

fof(assumption_18c,axiom,
    greater(low,very_low),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c) ).

fof(assumption_18d,axiom,
    greater(high,mod2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d) ).

fof(assumption_18b,axiom,
    greater(mod1,low),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1,X5,X6,X7] :
        ( ( greater(age(X1,X7),eta)
          & greater(age(X1,X7),tau)
          & greater(age(X1,X7),sigma)
          & smaller_or_equal(age(X1,X6),eta)
          & smaller_or_equal(age(X1,X6),tau)
          & smaller_or_equal(age(X1,X6),sigma)
          & greater(eta,zero)
          & greater(tau,zero)
          & greater(sigma,zero)
          & age(X1,X5) = zero
          & has_endowment(X1)
          & ( fragile_position(X1)
            | robust_position(X1) )
          & organization(X1) )
       => ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
          & greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ) ),
    inference(assume_negation,[status(cth)],[theorem_11]) ).

fof(c_0_14,plain,
    ! [X1] :
      ( has_endowment(X1)
    <=> ! [X4] :
          ( ( greater(age(X1,X4),eta)
           => ~ has_immunity(X1,X4) )
          & ( smaller_or_equal(age(X1,X4),eta)
           => has_immunity(X1,X4) )
          & organization(X1) ) ),
    inference(fof_simplification,[status(thm)],[definition_1]) ).

fof(c_0_15,plain,
    ! [X12,X13] :
      ( ( smaller(X12,X13)
        | ~ greater(X13,X12) )
      & ( greater(X13,X12)
        | ~ smaller(X12,X13) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])]) ).

fof(c_0_16,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(age(esk3_0,esk6_0),eta)
    & greater(age(esk3_0,esk6_0),tau)
    & greater(age(esk3_0,esk6_0),sigma)
    & smaller_or_equal(age(esk3_0,esk5_0),eta)
    & smaller_or_equal(age(esk3_0,esk5_0),tau)
    & smaller_or_equal(age(esk3_0,esk5_0),sigma)
    & greater(eta,zero)
    & greater(tau,zero)
    & greater(sigma,zero)
    & age(esk3_0,esk4_0) = zero
    & has_endowment(esk3_0)
    & ( fragile_position(esk3_0)
      | robust_position(esk3_0) )
    & organization(esk3_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).

fof(c_0_17,plain,
    ! [X1,X4] :
      ( epred1_2(X4,X1)
    <=> ( ( ( ~ positional_advantage(X1,X4)
            & ~ is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = high )
        & ( ( ~ positional_advantage(X1,X4)
            & is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod2 )
        & ( ( positional_advantage(X1,X4)
            & ~ is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod1 )
        & ( ( positional_advantage(X1,X4)
            & is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = low ) ) ),
    introduced(definition) ).

fof(c_0_18,plain,
    ! [X32,X33,X34] :
      ( ( age(X32,X33) != zero
        | ~ organization(X32)
        | greater(age(X32,X34),sigma)
        | ~ dissimilar(X32,X33,X34) )
      & ( age(X32,X33) != zero
        | ~ organization(X32)
        | dissimilar(X32,X33,X34)
        | ~ greater(age(X32,X34),sigma) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])])]) ).

fof(c_0_19,plain,
    ! [X21,X22,X23,X24] :
      ( ( has_endowment(X24)
        | ~ organization(X24)
        | ~ has_immunity(X24,esk1_1(X24))
        | has_immunity(X24,esk2_1(X24)) )
      & ( has_endowment(X24)
        | ~ organization(X24)
        | ~ has_immunity(X24,esk1_1(X24))
        | greater(age(X24,esk2_1(X24)),eta) )
      & ( has_endowment(X24)
        | ~ organization(X24)
        | smaller_or_equal(age(X24,esk1_1(X24)),eta)
        | has_immunity(X24,esk2_1(X24)) )
      & ( has_endowment(X24)
        | ~ organization(X24)
        | smaller_or_equal(age(X24,esk1_1(X24)),eta)
        | greater(age(X24,esk2_1(X24)),eta) )
      & ( ~ has_endowment(X21)
        | ~ has_immunity(X21,X23)
        | ~ greater(age(X21,X23),eta) )
      & ( ~ has_endowment(X21)
        | has_immunity(X21,X22)
        | ~ smaller_or_equal(age(X21,X22),eta) )
      & ( ~ has_endowment(X21)
        | organization(X21) ) ),
    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_14])])])])])])]) ).

fof(c_0_20,plain,
    ! [X8,X9] :
      ( ( smaller_or_equal(X8,X9)
        | X8 != X9 )
      & ( smaller_or_equal(X8,X9)
        | ~ smaller(X8,X9) )
      & ( X8 = X9
        | smaller(X8,X9)
        | ~ smaller_or_equal(X8,X9) ) ),
    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_21,plain,
    ( ~ greater(X1,X2)
    | smaller(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    greater(eta,zero),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_23,plain,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( ~ has_immunity(X1,X4)
         => epred1_2(X4,X1) )
        & ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_17]),c_0_17]) ).

cnf(c_0_24,plain,
    ( age(X1,X3) != zero
    | ~ organization(X1)
    | ~ greater(age(X1,X2),sigma)
    | dissimilar(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    age(esk3_0,esk4_0) = zero,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26,negated_conjecture,
    organization(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_27,plain,
    ! [X30,X31] :
      ( is_aligned(X30,X31)
      | age(X30,X31) != zero
      | ~ organization(X30) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])])]) ).

cnf(c_0_28,plain,
    ( ~ has_endowment(X1)
    | ~ smaller_or_equal(age(X1,X2),eta)
    | has_immunity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,negated_conjecture,
    has_endowment(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_30,plain,
    ( ~ smaller(X1,X2)
    | smaller_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31,negated_conjecture,
    smaller(zero,eta),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_32,plain,
    ! [X1,X4] :
      ( epred1_2(X4,X1)
     => ( ( ( ~ positional_advantage(X1,X4)
            & ~ is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = high )
        & ( ( ~ positional_advantage(X1,X4)
            & is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod2 )
        & ( ( positional_advantage(X1,X4)
            & ~ is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod1 )
        & ( ( positional_advantage(X1,X4)
            & is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = low ) ) ),
    inference(split_equiv,[status(thm)],[c_0_17]) ).

cnf(c_0_33,plain,
    ( ~ has_endowment(X1)
    | ~ has_immunity(X1,X2)
    | ~ greater(age(X1,X2),eta) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_34,negated_conjecture,
    greater(age(esk3_0,esk6_0),eta),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_35,plain,
    ! [X35,X36] :
      ( ( ~ organization(X35)
        | epred1_2(X36,X35)
        | has_immunity(X35,X36) )
      & ( ~ organization(X35)
        | hazard_of_mortality(X35,X36) = very_low
        | ~ has_immunity(X35,X36) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).

fof(c_0_36,plain,
    ! [X27,X28,X29] :
      ( ( dissimilar(X27,X28,X29)
        | ~ organization(X27)
        | is_aligned(X27,X28)
        | ~ is_aligned(X27,X29) )
      & ( dissimilar(X27,X28,X29)
        | ~ organization(X27)
        | is_aligned(X27,X29)
        | ~ is_aligned(X27,X28) )
      & ( ~ dissimilar(X27,X28,X29)
        | is_aligned(X27,X29)
        | is_aligned(X27,X28) )
      & ( ~ dissimilar(X27,X28,X29)
        | ~ is_aligned(X27,X29)
        | ~ is_aligned(X27,X28) )
      & ( ~ dissimilar(X27,X28,X29)
        | organization(X27) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])])]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ greater(age(esk3_0,X1),sigma)
    | dissimilar(esk3_0,esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_38,negated_conjecture,
    greater(age(esk3_0,esk6_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_39,plain,
    ( age(X1,X2) != zero
    | ~ organization(X1)
    | is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_40,plain,
    ! [X16,X17,X18] :
      ( greater(X16,X18)
      | ~ greater(X17,X18)
      | ~ greater(X16,X17) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])])]) ).

cnf(c_0_41,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk5_0),eta),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ smaller_or_equal(zero,eta)
    | has_immunity(esk3_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_29])]) ).

cnf(c_0_43,negated_conjecture,
    smaller_or_equal(zero,eta),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

fof(c_0_44,plain,
    ! [X41,X42] :
      ( ( ~ epred1_2(X42,X41)
        | hazard_of_mortality(X41,X42) = high
        | positional_advantage(X41,X42)
        | is_aligned(X41,X42) )
      & ( ~ epred1_2(X42,X41)
        | hazard_of_mortality(X41,X42) = mod2
        | positional_advantage(X41,X42)
        | ~ is_aligned(X41,X42) )
      & ( ~ epred1_2(X42,X41)
        | hazard_of_mortality(X41,X42) = mod1
        | ~ positional_advantage(X41,X42)
        | is_aligned(X41,X42) )
      & ( ~ epred1_2(X42,X41)
        | hazard_of_mortality(X41,X42) = low
        | ~ positional_advantage(X41,X42)
        | ~ is_aligned(X41,X42) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).

cnf(c_0_45,negated_conjecture,
    ~ has_immunity(esk3_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_29])]) ).

cnf(c_0_46,plain,
    ( ~ organization(X1)
    | epred1_2(X2,X1)
    | has_immunity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_47,plain,
    ( ~ dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X3)
    | ~ is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_48,negated_conjecture,
    dissimilar(esk3_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_49,negated_conjecture,
    is_aligned(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_25]),c_0_26])]) ).

cnf(c_0_50,plain,
    ( ~ greater(X2,X3)
    | ~ greater(X1,X2)
    | greater(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_51,plain,
    greater(mod2,low),
    inference(split_conjunct,[status(thm)],[assumption_18e]) ).

cnf(c_0_52,plain,
    ( ~ organization(X1)
    | ~ has_immunity(X1,X2)
    | hazard_of_mortality(X1,X2) = very_low ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_53,negated_conjecture,
    has_immunity(esk3_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_41]),c_0_29])]) ).

cnf(c_0_54,negated_conjecture,
    has_immunity(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).

cnf(c_0_55,plain,
    ( ~ epred1_2(X2,X1)
    | ~ positional_advantage(X1,X2)
    | hazard_of_mortality(X1,X2) = mod1
    | is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_56,negated_conjecture,
    epred1_2(esk6_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_26])]) ).

cnf(c_0_57,negated_conjecture,
    ~ is_aligned(esk3_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).

cnf(c_0_58,plain,
    ( ~ epred1_2(X2,X1)
    | hazard_of_mortality(X1,X2) = high
    | positional_advantage(X1,X2)
    | is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_59,plain,
    greater(low,very_low),
    inference(split_conjunct,[status(thm)],[assumption_18c]) ).

cnf(c_0_60,plain,
    ( ~ greater(X1,mod2)
    | greater(X1,low) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_61,plain,
    greater(high,mod2),
    inference(split_conjunct,[status(thm)],[assumption_18d]) ).

cnf(c_0_62,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)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_63,negated_conjecture,
    hazard_of_mortality(esk3_0,esk5_0) = very_low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_26])]) ).

cnf(c_0_64,negated_conjecture,
    hazard_of_mortality(esk3_0,esk4_0) = very_low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_54]),c_0_26])]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ positional_advantage(esk3_0,esk6_0)
    | hazard_of_mortality(esk3_0,esk6_0) = mod1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).

cnf(c_0_66,negated_conjecture,
    ( positional_advantage(esk3_0,esk6_0)
    | hazard_of_mortality(esk3_0,esk6_0) = high ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_56]),c_0_57]) ).

cnf(c_0_67,plain,
    ( ~ greater(X1,low)
    | greater(X1,very_low) ),
    inference(spm,[status(thm)],[c_0_50,c_0_59]) ).

cnf(c_0_68,plain,
    greater(high,low),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_69,negated_conjecture,
    ~ greater(hazard_of_mortality(esk3_0,esk6_0),very_low),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_63]),c_0_64])]) ).

cnf(c_0_70,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk6_0) = mod1
    | hazard_of_mortality(esk3_0,esk6_0) = high ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_71,plain,
    greater(high,very_low),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_72,plain,
    greater(mod1,low),
    inference(split_conjunct,[status(thm)],[assumption_18b]) ).

cnf(c_0_73,negated_conjecture,
    hazard_of_mortality(esk3_0,esk6_0) = mod1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).

cnf(c_0_74,plain,
    greater(mod1,very_low),
    inference(spm,[status(thm)],[c_0_67,c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_73]),c_0_74])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT065+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n009.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Mon Sep 21 01:24:27 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.48  % Version: 3.5.1
% 0.44/0.48  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.44/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.44/0.48  % Starting new_bool_3 with 300s (1) cores
% 0.44/0.48  % Starting new_bool_1 with 300s (1) cores
% 0.44/0.48  % Starting sh5l with 300s (1) cores
% 0.44/0.48  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 550282 completed with status 0
% 0.44/0.48  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.44/0.48  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.44/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.44/0.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.44/0.48  % No SInE strategy applied
% 0.44/0.48  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.44/0.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.44/0.48  % Starting SubtermCWHack with 136s (1) cores
% 0.44/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.44/0.48  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.44/0.48  % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.44/0.48  % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.44/0.48  % H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with pid 550290 completed with status 0
% 0.44/0.48  % Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S
% 0.44/0.48  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.44/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.44/0.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.44/0.48  % No SInE strategy applied
% 0.44/0.48  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.44/0.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.44/0.48  % Starting SubtermCWHack with 136s (1) cores
% 0.44/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.44/0.48  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.44/0.48  % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.44/0.48  % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.44/0.48  % Preprocessing time       : 0.002 s
% 0.44/0.48  % Presaturation interreduction done
% 0.44/0.48  
% 0.44/0.48  % Proof found!
% 0.44/0.48  % SZS status Theorem
% 0.44/0.48  % SZS output start CNFRefutation
% See solution above
% 0.44/0.49  % Parsed axioms                        : 17
% 0.44/0.49  % Removed by relevancy pruning/SinE    : 0
% 0.44/0.49  % Initial clauses                      : 51
% 0.44/0.49  % Removed in clause preprocessing      : 0
% 0.44/0.49  % Initial clauses in saturation        : 51
% 0.44/0.49  % Processed clauses                    : 308
% 0.44/0.49  % ...of these trivial                  : 3
% 0.44/0.49  % ...subsumed                          : 21
% 0.44/0.49  % ...remaining for further processing  : 284
% 0.44/0.49  % Other redundant clauses eliminated   : 2
% 0.44/0.49  % Clauses deleted for lack of memory   : 0
% 0.44/0.49  % Backward-subsumed                    : 1
% 0.44/0.49  % Backward-rewritten                   : 6
% 0.44/0.49  % Generated clauses                    : 1037
% 0.44/0.49  % ...of the previous two non-redundant : 694
% 0.44/0.49  % ...aggressively subsumed             : 0
% 0.44/0.49  % Contextual simplify-reflections      : 1
% 0.44/0.49  % Paramodulations                      : 1030
% 0.44/0.49  % Factorizations                       : 5
% 0.44/0.49  % NegExts                              : 0
% 0.44/0.49  % Equation resolutions                 : 2
% 0.44/0.49  % Disequality decompositions           : 0
% 0.44/0.49  % Total rewrite steps                  : 470
% 0.44/0.49  % ...of those cached                   : 414
% 0.44/0.49  % Propositional unsat checks           : 0
% 0.44/0.49  %    Propositional check models        : 0
% 0.44/0.49  %    Propositional check unsatisfiable : 0
% 0.44/0.49  %    Propositional clauses             : 0
% 0.44/0.49  %    Propositional clauses after purity: 0
% 0.44/0.49  %    Propositional unsat core size     : 0
% 0.44/0.49  %    Propositional preprocessing time  : 0.000
% 0.44/0.49  %    Propositional encoding time       : 0.000
% 0.44/0.49  %    Propositional solver time         : 0.000
% 0.44/0.49  %    Success case prop preproc time    : 0.000
% 0.44/0.49  %    Success case prop encoding time   : 0.000
% 0.44/0.49  %    Success case prop solver time     : 0.000
% 0.44/0.49  % Current number of processed clauses  : 224
% 0.44/0.49  %    Positive orientable unit clauses  : 80
% 0.44/0.49  %    Positive unorientable unit clauses: 0
% 0.44/0.49  %    Negative unit clauses             : 18
% 0.44/0.49  %    Non-unit-clauses                  : 126
% 0.44/0.49  % Current number of unprocessed clauses: 487
% 0.44/0.49  % ...number of literals in the above   : 1863
% 0.44/0.49  % Current number of archived formulas  : 0
% 0.44/0.49  % Current number of archived clauses   : 58
% 0.44/0.49  % Clause-clause subsumption calls (NU) : 6643
% 0.44/0.49  % Rec. Clause-clause subsumption calls : 3039
% 0.44/0.49  % Non-unit clause-clause subsumptions  : 19
% 0.44/0.49  % Unit Clause-clause subsumption calls : 795
% 0.44/0.49  % Rewrite failures with RHS unbound    : 0
% 0.44/0.49  % BW rewrite match attempts            : 6
% 0.44/0.49  % BW rewrite match successes           : 3
% 0.44/0.49  % Condensation attempts                : 0
% 0.44/0.49  % Condensation successes               : 0
% 0.44/0.49  % Termbank termtop insertions          : 12612
% 0.44/0.49  % Search garbage collected termcells   : 664
% 0.44/0.49  
% 0.44/0.49  % -------------------------------------------------
% 0.44/0.49  % User time                : 0.022 s
% 0.44/0.49  % System time              : 0.007 s
% 0.44/0.49  % Total time               : 0.029 s
% 0.44/0.49  % Maximum resident set size: 3404 pages
% 0.44/0.49  
% 0.44/0.49  % -------------------------------------------------
% 0.44/0.49  % User time                : 0.125 s
% 0.44/0.49  % System time              : 0.021 s
% 0.44/0.49  % Total time               : 0.146 s
% 0.44/0.49  % Maximum resident set size: 4608 pages
% 0.44/0.49  % E exiting
%------------------------------------------------------------------------------